diff --git "a/data/dm_maths/full_data_1/1549_11255.jsonl" "b/data/dm_maths/full_data_1/1549_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1549_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the highest common factor of 2304 and 25748208?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (75 + 95 - 144)*(0*w + 4*w - w)*(7 - 11 + 11) in the form g*w + d and give g.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.4 and 0.083607004608956?\nAnswer: 0.316392995391044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*h - 2*m + 8 + 6, h - 2*m = -22 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 1\/3, 3\/4, 3 in increasing order.\nAnswer: -31, 1\/3, 3\/4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -j + 51 + 222, 4*j - 1062 = i. Let t = j - 139. List the prime factors of t.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((-5 - -6) + 20). Let s = 223\/4 + -56. Let i = 0.4 + -0.9. Which is the smallest value? (a) u (b) s (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:10 AM and 12:51 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3 - 1)\/(2\/4) + -19. Suppose 4*p = -4*g - 12, -p + g - 9 = -g. Is 616 + p\/(y\/(-9)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0*1\/1 + -3. Let u be (3 + (-88)\/16)*3\/(-30). Which is the nearest to u? (a) t (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -4*o - 1. Let p(g) = -9*g - 5. Calculate -5*d(j) + 2*p(j).\nAnswer: 2*j - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 524*g**2 - 17 - 22*g - 2*g**3 + 2*g**3 - g**3 - 533*g**2. What is m(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1995411*g**2 - 800558*g**2 + 525315*g**2 - 16794*g**2.\nAnswer: -2287448*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 55*l + 47. Let d(a) = 27*a + 23. Let s(r) = -13*d(r) + 6*g(r). What is the units digit of s(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c + 1. Calculate h(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/9 in 4\/3, -3, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3))**34 assuming w is positive.\nAnswer: w**(-102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, o: 2}. Give prob of sequence oo.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1094\/11 + 186453\/1870. Calculate the common denominator of f and -79\/51.\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) 0.5 (c) 3\/2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - h + h)*(2 + 3 - 3) + (3*h + 2*h - 6*h)*(46 + 118 + 29).\nAnswer: -195*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -936 + 1627. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19494 and 354.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - s + 2*u = -45, -129 = 3*s + 3*u. Let z = 60 + s. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1820, -3731, -5642, -7553?\nAnswer: -9464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 - -2. Let a = 2.9 - 4. Let g = 0.1 + a. Which is bigger: q or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 192898?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 418860.\nAnswer: -418862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 2*c - 5*c + (-1391 - 50*c + 1391)*(0 - 2 + 0) + 1 + 6*c + 1 - c.\nAnswer: 103*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 + -6 + -4 - 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 9220 = -2*c - 9216, 0 = 2*c + 3*d - 5 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one halves of a millimeter?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-20)\/n**(1\/14)*(n*n**22)\/((n\/(n*n*n\/n**(-9\/5)*n)*n*n)\/n) assuming n is positive.\nAnswer: n**(471\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4095514690?\nAnswer: 2, 5, 409551469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 6:57 PM?\nAnswer: 2:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 18856562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.979 - 1.021. Which is the closest to 0? (a) 0.5 (b) 0 (c) -5\/4 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -879, -3800, -8669, -15486, -24251, -34964?\nAnswer: -47625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 140622 minus -1?\nAnswer: 140623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 399, 1\/2, -16, -3, 11, 3\/4 in increasing order.\nAnswer: -16, -3, 1\/2, 3\/4, 11, 399","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -7*h**2 + 2*h - 3. Let i(y) = -65*y - 1238. Let l be i(-19). Let u(r) = -8*r**2 + 3*r - 4. Determine l*d(m) + 2*u(m).\nAnswer: 5*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*l**3 + 45*l + 242*l**2 + 237*l**2 - 443*l**2 wrt l?\nAnswer: 12*l + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**2*q**2*v + 406*b**2*v**2 + 4*b*q**2*v + 20*b*q**2 + b*q + 2*v**2 wrt b?\nAnswer: 4*q**2*v + 812*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-5 + 1 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -511683 - -0.4?\nAnswer: -511682.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by -46435?\nAnswer: 1\/9287","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, j: 1, i: 5, v: 3, b: 3, u: 1}. What is prob of picking 1 j, 1 v, 1 x, and 1 i?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/876 and -43\/12969?\nAnswer: 3786948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 43 = m - 5*v, -3*v = 4*m - 51. Let b be (-4)\/(6\/m*-3). List the prime factors of ((b - 13) + 2)*-1.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = 5*f + 4*j - 327, -3*f - 5*j = -300. Which is bigger: 104 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129, 317, 559, 855?\nAnswer: 1205","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48119 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -9*g - 4. Let x(c) = -8*c - 3. Let o(y) = 3*j(y) - 4*x(y). Let u(w) = 2*w**2. What is o(u(a))?\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/(-5))\/(7\/35). Suppose -6*m = -d*m. Let b(z) = -z**3 - 8*z**2 - 7*z + 5. Let a be b(-7). Solve a*c = m, -x + 2*c - 3 = 4*c for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 11*q**2 + 24*q - 7. Let n be l(12). Suppose -3*f + 421 = h + h, f = -4*h + n. Suppose 4*a = -37 + f. Does 5 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (4 - -1) + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 - 4*l**2 - 4. Let z(c) = 328 - 5*c**2 + 3*c**3 - 333 - c**3. Calculate 6*x(w) - 5*z(w).\nAnswer: 2*w**3 + w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*b + 4*b. Suppose g = -2*g + 27. Calculate the greatest common divisor of g and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 9:38 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 18\/(10\/(-5)) + (-396)\/(-57).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 0 - (-2 - -1). Suppose 8*a + x = 20. Suppose -6 = a*b - 3*b. What is the smallest common multiple of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-3))\/6*-4. Suppose u = 5*h - 4*u - 10, -2*h = -u - i. Suppose 2*o - 24 = -h*o - 4*l, 4*o + 4*l = 28. Solve -o*y - 4*t = t - 8, 5*y + t = 20 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and ((-161)\/(-14) + 5)*(-2)\/(-3)?\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3683 + 84?\nAnswer: 3777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minus -4.028202?\nAnswer: 5.028202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 590.93 - 587. Let h = t - -0.07. Let o = -0.2 + 0.6. Which is the smallest value? (a) h (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.8 in 127837, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 178283, 177029, 175775, 174521, 173267?\n\"Answer: -1254*x + 179537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -184 + 182. Put -1, 3\/4, 2\/5, c in decreasing order.\nAnswer: 3\/4, 2\/5, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 12. Find the second derivative of 6*w**3 - w**3 + 3*w**t - 5*w - 3*w**2 wrt w.\nAnswer: 30*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 63 + 1?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 times 169889\nAnswer: -20386.68","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 186 and 15252.\nAnswer: 15252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 - -6. Let f be (-2)\/(-1)*10\/r. Let o be (-3)\/(-10) + 702\/260. Solve 0 = p - o*p + f for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x**3 - 3450*x**2 + 846300*x - 53911000 = 0.\nAnswer: 130, 3190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002 a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3\/11 or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 2.4. Let r = g + -0.4. Let q = 0 - r. Sort -1\/7, q, 0.1 in ascending order.\nAnswer: -1\/7, q, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p + 6327 + 10*p - 211*p**3 - 6327.\nAnswer: -211*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**2 - 14*j + 93. Determine r(5).\nAnswer: 273","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.14 and 683.\nAnswer: 1461.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 557.1355 - 558. What is p rounded to two decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/(sqrt(2) + sqrt(8) + sqrt(2)))\/(sqrt(112)*3).\nAnswer: sqrt(3)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145 = -389*c + 418*c. Put 17, -1, 2, c in increasing order.\nAnswer: -1, 2, c, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -11.921 from -31.46122.\nAnswer: -19.54022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*g = 21*g - 98. Let l(q) = q + 2. Let v be l(5). Solve -v = -5*p - g for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + ((5 + (sqrt(125) + 0 - sqrt(125))**2 - ((sqrt(125)*2)**2 + sqrt(125))*2)*6 + 0)*-4).\nAnswer: 1200*sqrt(5) + 119395","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 30623, 61247, 91871, 122495, 153119, 183743?\n\"Answer: 30624*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 2. Let r = 48 + -289\/6. What is the closest to r in w, 0.3, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 149146804 to the nearest integer?\nAnswer: 12213","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (-2)\/(-2) - -2. Solve -3*d + 5*d - l = -1, -2*l = -d - o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -1 - (37 + -25)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1203737387?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 6:09 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/2)\/q)**(5\/7)*q*q**(-1\/5)*q\/q**(2\/5) assuming q is positive.\nAnswer: q**(123\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*c + 2*c - 2*c)*(-2*c + 40*c**3 - 80*c**3 + 39*c**3 - 5332*c**2 - 5238*c**2) to the form g*c + n*c**2 + o + l*c**3 + b*c**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7 + 28 - 5 + t. Let z be y(-14). Solve -5*p + 11 = 1, 0 = i - z*p - 1 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 547*q - 546*q + 2*h + 36, 4*q + q + 27*h + 165 = 32*h for q.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 302391 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 4*i**2 - i + 1. Let f(g) = -g**2 + 11*g - 16. Let u be f(9). What is x(u)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -64 + d?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 18 + -13 - (-5 - (-14 + -3))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-15)\/5)\/1 + 9. Solve u - 5*q = 13, -3*q - 1 = -u + a for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(304))**2 + 2 + (2*sqrt(2736))**2.\nAnswer: 11250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1946 = 2141*r - 2002*r for r.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -12*l**4 - 89*l**2 - 136*l + 4. Let h(d) = -2*d**4 + d**3 - 2*d**2 - d. Let m(k) = 3*h(k) - y(k). What is the second derivative of m(g) wrt g?\nAnswer: 72*g**2 + 18*g + 166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6597886 by 146.\nAnswer: 45191","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 38 + 4 - (12 + -13 - 18)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 67, 1, 9, 3, -5 in decreasing order.\nAnswer: 67, 9, 3, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + 6 + -2) - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 11 = g, 4*n - 2*g - 15 = 3*g. Which is the second biggest value? (a) 0.06 (b) -3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11\/77 - 1080\/4620\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4, -0.1, 2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 + -6. Suppose -2*w = 2*k + w + 9, 2*k + 5*w = -11. Let i be (-32)\/(-14) + (k - -1). Which is the nearest to u? (a) i (b) 5 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 48*q - 5*q - 6*q**2 + 3 + 3017*q**3 - 3016*q**3. Is w(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7287, -1, -2, 5, -5, 8, 23.\nAnswer: -7287, -5, -2, -1, 5, 8, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 368 divide 125703280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -812 + 146*i**2 - i + 368 + 395.\nAnswer: 146*i**2 - i - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1135790777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (64\/12 + -5)\/(33\/(-18))\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, q: 1, m: 1, s: 4, e: 4, t: 1}. Give prob of sequence smr.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 100700 rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 11*l**2 + 252*l - 2. Calculate m(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 - 9*t**2 + 2*t - 12. Let r be q(9). Let i(a) = 5*a - r*a + 0 + 3 - 2. Is i(-8) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = w + 4*w. Let b = -19 + w. Let i = -5 + b. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1164772 and 29364.\nAnswer: 3494316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-1*sqrt(60))\/sqrt(3))\/(sqrt(90)\/((sqrt(900) - sqrt(900)*2 - sqrt(900) - sqrt(900) - sqrt(900)) + sqrt(900) - sqrt(9))).\nAnswer: -155*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 29*u - 8 + 0*u - 13 - u**2 + 9*u. Is t(16) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence om when two letters picked without replacement from {o: 1, m: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/3 + -2 + 75\/24.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 690 + -690. Solve 5*u - u + 12 = r for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3 = -7. Suppose 2*o = -a*v + 12, o = -4*v + 15 - 6. Let c = -1 - -1. Does v = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-5 + (sqrt(45) - 6*(sqrt(405) - sqrt(45)))) + ((sqrt(90) - (sqrt(90) + sqrt(90)*-4))\/sqrt(9))\/(4*sqrt(6)\/sqrt(3)))**2.\nAnswer: 8200*sqrt(5) + 135105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from immbjjimmbbmmmbmmi?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2714332676 to the power of 1\/7, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 497 is divided by 107?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*m**5 + 559*m**4*w**3 - 6*m**2 + 32*m*w**3 + 5 wrt m?\nAnswer: -120*m**2 + 13416*m*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -54.088 - -0.088. Let s = o - -76. Let m = s - 22.00002. What is m rounded to 6 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.17284 - -0.07284. Which is the nearest to -0.2? (a) -1\/3 (b) q (c) -1.53\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.453628 kilometers in micrometers?\nAnswer: 7453628000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 2:30 AM?\nAnswer: 512","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 57. List the prime factors of o.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9954689 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - (((-6496)\/(-30))\/56 + (-2)\/(-15))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -25304 - -202433\/8. Let n(w) be the third derivative of 0*w + u*w**4 - 1\/20*w**5 - 13*w**2 + w**3 + 0. Solve n(t) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 d when two letters picked without replacement from imiqidqiifdfddffii.\nAnswer: 8\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 11:38 PM?\nAnswer: 10:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4\/11 + 208\/11*a**2 + 102\/11*a**3 + 10*a = 0.\nAnswer: -1, -2\/51","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(180) - (sqrt(180) + -1 + 2)) + 5*(sqrt(180) - ((sqrt(180) + 1)**2 + -1)))*-1.\nAnswer: 30*sqrt(5) + 894","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 11b + -5?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*(-43)\/56588)\/(2\/(-4))?\nAnswer: -1\/94","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(14)\/((sqrt(70)*1)\/sqrt(10)) - ((sqrt(8) + (sqrt(72) + sqrt(72)*-1 - sqrt(72)))\/sqrt(4))**2.\nAnswer: -8 + sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -3035120 divided by 110\nAnswer: -27592","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**2 + y - 1. Suppose -17*f - 3446 = -3463. Let u(b) = b**2 + 2*b - 2. Calculate f*w(n) - u(n).\nAnswer: -2*n**2 - n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = 9*w - 5*w - 18, 3*x - 3*w = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -2*6\/42*-161. Solve -k = 7*p - 11 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -304 + 312.12. Let n = -6.6 + z. Let k = -3.86 + n. Round k to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26 + -21 + -2 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22 - 113*v - 10 + 333*v - 12.\nAnswer: 220*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3514*f**2\/9 - 396958*f\/9 + 14012\/9.\nAnswer: -2*(f + 113)*(1757*f - 62)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -682\/22371 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes before 7:21 PM?\nAnswer: 8:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2054 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 124840 and 55?\nAnswer: 1373240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-92)\/(-3) - 12\/(-36). Suppose -2*j + t = 27. Suppose 10 = -0*a + j*a. Let w(v) = -v**3 + 4*v**2 + 5*v - 5. Calculate w(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/5 + -4. Let q = -1 + 0.6. Which is the biggest value? (a) g (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1028)\/(-220) - 4 - (-70)\/(-175)?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f**4 + 26*f**3 - 20*f**2 - 24*f + 23. Let j(x) = -15*x**4 + 131*x**3 - 101*x**2 - 120*x + 116. Let u(p) = -2*j(p) + 11*q(p). Factor u(v).\nAnswer: -3*(v - 7)*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 4*y + 34. Let t be l(-8). Is (-52)\/(-26) + 1500\/t a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3192 is divided by 21.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -2 + sqrt(1008) + 1 + sqrt(1008) + (sqrt(1008) - -1*sqrt(1008)*6 - sqrt(1008)))**2.\nAnswer: -216*sqrt(7) + 81649","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17335?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 528\/22*309\/2?\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of -q**4\/4 - 2*q**3 - 11*q**2\/2 - 2*q - 217. What is the lowest common multiple of n(-3) and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u**4 + 0*u)*(3 - 5 + 3) - u**4 - u**4 + u**4 + 19573329 - 2*u - 156*u**2 - 5*u**4 - 19573329.\nAnswer: -4*u**4 - 156*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -99. Calculate the lowest common multiple of l and 5.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 175.13 - 151.13. Which is the smallest value? (a) 1.7 (b) -0.3 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**2*p*p))\/((p*p*p*(p\/(p*p**(1\/3)*p))\/p)\/p*p)*p**0*p**(-3\/4)\/p*p assuming p is positive.\nAnswer: p**(-65\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 16656 to the power of 1\/2, to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 4673192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -36 - (20 + (22 + -44 - -5))?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.21 - -0.181. Let p = 0.241 - y. Let j = p + -0.07. What is the nearest to j in 0.1, 0.5, -0.3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -21 (b) 5 (c) 2\/13 (d) -4 (e) 127\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*t**2 + 9*t**2 - t**2.\nAnswer: 16*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 5*n + 10, -8 = 4*n - 4*z - 0*z. Let c be (2\/n)\/((-14)\/42). Solve c = -0*r + r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 3*a - 4. Let n be s(2). Let j(q) be the third derivative of q**n + 0*q**3 + 0*q + 0 - 1\/120*q**6 + 1\/60*q**5 + 0*q**4. Factor j(y).\nAnswer: -y**2*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(10\/(-4)))\/(1\/(-3)*-8)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p - 1. Suppose 23 - 11 = 3*a. Suppose -a*s - g = -0*g - 74, 0 = -3*s + g + 52. Let f(h) = 4*h - 4. Calculate s*v(k) - 4*f(k).\nAnswer: 2*k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 152813\nAnswer: -458439","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 733916*g**2 - 750498*g?\nAnswer: 1467832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 + 1 + 7 + -7 + 2. Suppose -5*g - y + j*y + 6073 = 0, -5*g = -2*y - 6079. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 3)\/(54\/(-162)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46 + 25*t**2 - 46)*(-277 + 24 - 473 + 39 + 67).\nAnswer: -15500*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12313 (base 4) to base 10.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*x**2 + 34*x + 7*x + 45*x**2 + 12 - 10 in the form o + a*x**2 + n*x and give n.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83 is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 114.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3846708?\nAnswer: 2, 3, 106853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01043 to three dps.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 + 6458.93\nAnswer: 6459.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/7)*m**(2\/7)\/m*m\/(m*m**(-1\/3))*m\/(m*m**4))**31 assuming m is positive.\nAnswer: m**(-2759\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288 and 12306366?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - j**2 - j - 1. Let u(b) = b + 2*b**4 + b**4 + 88*b**2 - b**3 + 10 - 93*b**2. Let x(v) = -4*f(v) - u(v). Factor x(t).\nAnswer: -3*(t - 1)**2*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 4*z - 6. Give s(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26 + -23. Suppose 0 = 4*y + m - 36997, -36977 = 3*y - 7*y + f*m. Is 35 a factor of 1 + (-3)\/5 - y\/(-80)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -i**2 - 8*i - 9. Let o be k(-6). Solve 18 = 5*d + 2*v + o, 0 = 5*d + 3*v - 20 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 2\/65561385?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2255107 and 2?\nAnswer: 4510214","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2\/9, 2\/7, -311, -63, 0.4 in increasing order.\nAnswer: -311, -63, 0, 2\/9, 2\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + 8*h**2 - 7*h + 10. Let t be d(7). Suppose -4*g + x + 70 - t = 0, g = -3*x + 2. What is the remainder when 80 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422654, 422650, 422644, 422636, 422626, 422614, 422600?\nAnswer: 422584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58484, -116903, -175324, -233747, -292172?\n\"Answer: -i**2 - 58416*i - 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four sevenths of a week?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113141 + 113141 + 4*f**2.\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - d = 328, 4*j - 4*d = 126 + 526. Calculate the highest common divisor of 45 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*u**3*z + 3187*u**2*z + 5*u + 160783*z - 1 with respect to u.\nAnswer: -48*u**2*z + 6374*u*z + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 45*k + 3 = 43*k, -3*y + 3*y = -8*k - 48 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35794?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 577240270.\nAnswer: 2, 5, 17, 3395531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2 - 4940304*l - 4940302.\nAnswer: -2*(l + 1)*(l + 2470151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*s - 6*s - 11*s)*(-4 + 0 + 2) + 7*s + 6*s + 20*s to the form j*s + n and give j.\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11442?\nAnswer: 2, 3, 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5797 - 5741. Let g = -41 + 104. Calculate the highest common divisor of f and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d - 7. Let p = -24 - -20. Let h be c(p). Suppose -h*l = 15, 0 = -3*a - l + 2 + 4. Solve -4*i = -2*u - a*i - 5, -3*u = -4*i + 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -169 minus -119680?\nAnswer: 119511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*c**3*f**2 - c**3 - c**2 + 9*c*f**2 + 36499922*c + 722293*f - 7 wrt f?\nAnswer: 18*c**3*f + 18*c*f + 722293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**8\/20160 + c**7\/3780 + c**6\/2160 - c**4\/24 - 4*c**2. Let u(z) be the second derivative of g(z). Factor u(s).\nAnswer: s*(s + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20668 + 20655. Let j(h) = 4*h**2 + 10*h + 4. Let b(w) = -7*w**2 - 21*w - 7. Let y(a) = -3*b(a) - 5*j(a). Determine y(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 35974*f + 21152716. Give q(-588).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 16808 to the power of 1\/2, to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 502778186?\nAnswer: 2, 1303, 192931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, s: 1, v: 1, x: 1, e: 4, w: 4}. Give prob of sequence esv.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10 + -672?\nAnswer: -662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009808 to six decimal places.\nAnswer: -0.000098","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 744 (base 11) in base 5?\nAnswer: 12040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 481 = -w, -3*w + 399 = -3*d - 1047. Let a = w + -963. Let x = 2867\/6 + a. Find the common denominator of 5\/6 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 645196 to the nearest integer?\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -5*y + 6, 5*y = 3*g - 21 + 34 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkxekxkkmxecwkw. What is prob of sequence mcwe?\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 924.3 to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 99 - 95. Let x = -199 + 2187\/11. Let w = -3 - -3.2. What is the third smallest value in w, v, x?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16022686159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 1 + 3 + 1 - 6 + (-5 - 1 + 4)*(-1 + 4 - 1))*(5 + 1 - 3)*(-3 - 1 - v + 6).\nAnswer: 9*v - 18","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.18399804 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let f(g) = g**2 - 26*g + 134. Let i be f(14). Let b be (1 - 2) + i + 33. Sort k, -4, 1, b in decreasing order.\nAnswer: 1, b, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (-10 - ((8 + -1 - 10) + (-14 - -1)))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 4 - 5 + 5*j**2 - 19*j**2.\nAnswer: -14*j**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52569 by 9.\nAnswer: 5841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2757461?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a + 3507. Let t(i) = 14*i**2 - 223*i. Give t(p(m)).\nAnswer: 14*m**2 - 97973*m + 171404625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 84.95 + -82. Let g = -0.05 - b. Which is greater: g or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.28.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10\/43? (a) -5 (b) -3 (c) -0.1 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d + 6. Let k be (0 - -1)*(2 - (-5 - -3)). Give b(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -163458848420 and 0.16?\nAnswer: 163458848420.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -76750451.7 * 0.4.\nAnswer: -30700180.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 - 14 = 0. Let m = p + 1. What is the greatest common divisor of 80 and m?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1751116 to the power of 1\/3, to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 w when two letters picked without replacement from {e: 1, w: 1, q: 2, n: 2, b: 1, d: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2245 divided by -44717?\nAnswer: -2245\/44717","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/14 of a week in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225)\/((-1*sqrt(55))\/sqrt(11)))\/(6*1*sqrt(324)) + -5.\nAnswer: -5 - sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985 is divided by 55.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137074 + -1?\nAnswer: 137073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 306?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2. Suppose 0 = -3*d + g - 7, -2*d - d + 3*g - 15 = 0. Let z(m) = -m**2 - 1. Let v(p) = 6*p**2 + 3. Let l(s) = d*v(s) - 3*z(s). Calculate l(x(n)).\nAnswer: -3*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, i: 1, u: 2}. What is prob of sequence iw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4635589422 and 30990?\nAnswer: 4635558432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/575 and 97\/2162?\nAnswer: 54050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - (-2)\/(-9)) + 40976\/117. Calculate the greatest common factor of i and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*c - 64, -6*m - 6 = -2*c - 11*m. What is the remainder when 505 is divided by c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4085, 4, 1, -5, -2, 3, -6.\nAnswer: -4085, -6, -5, -2, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*1*sqrt(1008)*-3)**2 + -2 - ((sqrt(1008) + -3)**2*-4 + sqrt(1008) + (sqrt(1008) - (sqrt(1008) + (-3 + sqrt(1008))*-2))).\nAnswer: -324*sqrt(7) + 13144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.827665 - 1.1376406. Let c = f + 0.31. What is c rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that z**2\/4 + 3586067*z + 14344267\/4 = 0.\nAnswer: -14344267, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50416 and 160.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1442193 divided by -509?\nAnswer: -1442193\/509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z + 1 - 1)*(0 + 2 - 1)*(-z**3 - 3 + 3) as g*z**3 + w*z**4 + y*z + x*z**2 + c and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 441 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6139, -24537, -55199, -98125, -153315, -220769, -300487?\nAnswer: -392469","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65284*b + 65284*b - 39575*b**2.\nAnswer: -39575*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -42 (base 9) in base 7?\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12412?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 38 - 36. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 0*t**5 + 7\/3*t**3 + 1\/6*t**6 + 46 + 0*t + 0*t**2 - 2*t**4. What is the third derivative of y(w) wrt w?\nAnswer: 60*w**2 - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 9 = 10*s. Suppose 0 = s*o - w - 7, -5*o + 0 + 10 = -2*w. Determine x, given that 8*x**3 + o*x**2 - 4*x**3 + 4*x - 8*x**3 - 4*x**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 3. Let p be (-1139)\/595 - ((-6)\/7)\/(-3). Which is greater: d or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/2028 and -40\/93483?\nAnswer: 4861116","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 3*z - z - 3*z + 2*z - 9. Let n be i(13). Suppose -2*f - 550 = -n*p, 2*f = -0 + 2. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 649?\nAnswer: 1\/649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - -0.32299\nAnswer: -1.67701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2903, -5802, -8701, -11600?\n\"Answer: -2899*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1064 - -1058. What is the third biggest value in g, 2, 11?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/(y\/(y*y**(-1)*y)))**(1\/21))**(-45) assuming y is positive.\nAnswer: y**(-15\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-6*((sqrt(1008)*-3)**2 - sqrt(1008)) - (3 + sqrt(1575) + -2)**2.\nAnswer: -462*sqrt(7) + 325016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -220*h + 493 - 2609 - 524 for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 5*o = 24, -11*b = -6*b - o + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2965289?\nAnswer: 2965289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7.4 + -4.5. Let a = 2.1 + b. Let y = -4.5 + a. What is the nearest to 0 in -5, y, -3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -4321.69634 rounded to 1 dp?\nAnswer: -4321.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 50\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.0415 - 0.1715. Round p to two 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 {e: 9, n: 3, f: 3, w: 5}. Give prob of picking 1 f, 1 n, and 1 w.\nAnswer: 3\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 6*c**2 + 10*c + 345. Calculate the remainder when s(-14) is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + (0 - 6) + -2 - 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (-2 + sqrt(1573) + -1))**2 + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-201)\/(-5) - (-3)\/(-15). Calculate the highest common factor of j and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2335 + -2293. Suppose 2*v - 3*v = 4*o - 59, 3*v = 2*o - 33. What is the remainder when y is divided by o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + -133?\nAnswer: -13b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3060066436?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 - 60\/(-16) - 5\/(-4). Put 26, y, 4, 11 in ascending order.\nAnswer: y, 4, 11, 26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/5 + (-3)\/15. Let d = -2 - -10. Let x = h - d. Solve 0 + 3 = -x*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34061805 divided by -4.\nAnswer: 34061805\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8701 and 301.\nAnswer: 374143","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 + 0)*(26 - 9*c - 26)*(-6 + 0 + 2).\nAnswer: -72*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.082886 - -12.084186. Let j = k + -12. What is j rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.235 * -10.\nAnswer: 2.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = -1 - 19. Suppose 4*u = j + 4. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:32 PM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 19211, 40610, 62009, 83408?\n\"Answer: 21399*p - 2188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.060145*-0.2.\nAnswer: -0.012029","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -22 + 37. Let g = -6 + m. Factor -6*v - g - 5*v**2 - 2*v**2 + 6*v**2.\nAnswer: -(v + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 + 9\/(-6))*2. Let c(x) = x**3 + 6*x**2 - 2*x - 2. Suppose 0*m = 40*m - 240. Let f(i) = i**2. What is m*f(t) + y*c(t)?\nAnswer: -t**3 + 2*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/7)\/(464*29\/(-29232)*-27))\/(-2)?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 2024 = -5*c, 2054 = -2*w + 3*w + 5*c. List the prime factors of w.\nAnswer: 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i - 0*i - 2*s + 3, 0 = 3*i - s - 11 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -4*j**2\/3 - 91036*j + 273112\/3 = 0.\nAnswer: -68278, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -406771 + 599630. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -50420 by -2.\nAnswer: 25210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 40 = 4*t. Let a = t - -21. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = 42*j - 86 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 10100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) -0.5 (c) 5 (d) 0.09 (e) -1 (f) 12.5 (g) 0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**3 - 4*j**2 + 4*j + 1. Let x = 4 + -1. What is the units digit of v(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l = -18*l - 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 378107 is divided by 389.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -26*k + 4. Let v(p) = -13*p + 2. Calculate 6*m(f) - 11*v(f).\nAnswer: -13*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*d - 27*d + 36. Let i = d + 16. Let j = 0.29 + 0.11. Which is the biggest value? (a) 0.2 (b) j (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 171 or 10078\/59?\nAnswer: 171","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -531 - -565. Calculate the remainder when -18*10*(-6)\/8 is divided by l.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -524 divided by 131?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1480\/(-1085) - 24\/372. What is the closest to -2 in 5, t, -5, 1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f**2*f))\/f**(-1))\/(f*f**(1\/10)*f**(3\/4)) assuming f is positive.\nAnswer: f**(-57\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*v - 5. Let t be v*(2 - 48\/27). Let j = 1 - 6. Which is the smallest value? (a) 2\/21 (b) t (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 198 and 297?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116, -216, -316, -416?\nAnswer: -516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i. Let z(f) = 2*f**2 + 6719*f. Give b(z(w)).\nAnswer: 2*w**2 + 6719*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in one quarter of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -h - 0. Let v be -4*(-6)\/15 + h. Let y = 0.12 - 0.62. Sort 2, v, y in increasing order.\nAnswer: y, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38095 (base 14) to base 7.\nAnswer: 1111245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 3*m**2\/7 + 24*m\/7 = 0?\nAnswer: -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 to the power of 1\/2, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o + 8. Let f = 9 + -16. Let u = f - -7. What is z(u)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 31, 35, 53, 91, 155, 251?\n\"Answer: v**3 + v**2 - 6*v + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-3\/11)*x)**(1\/19)*(x**3\/x)\/(x\/x**(5\/3)) assuming x is positive.\nAnswer: x**(1696\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-5)\/(-3)*45\/15. Find the first derivative of -39*g**4 + 17 + z*g**4 - 43 - 14 wrt g.\nAnswer: -136*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14621?\nAnswer: 14621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 - 2*a - 4. Let n = -22 + 26. Let y = 5 + 0. Calculate the remainder when y is divided by m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 5*u. Let q(r) = -409*r - 3. What is x(q(z))?\nAnswer: -2045*z - 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5871 + 5879. What is the biggest value in c, 0.4, -4\/3, 0, -1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 + (-6 - 15) - -22?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1977494 divided by 1?\nAnswer: 1977494","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -128.9984829 rounded to one dp?\nAnswer: -129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 315*g**4 + 8*g**4 + 77*g**4 - 2*g**2 + 10685602*g**3 - 10685604*g**3 as i*g**3 + r*g**2 + x*g**4 + f*g + j and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2\/8)\/(11\/22))\/1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k - 8. Let z be b(0). Let c = z - -6. Are c and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2354061.\nAnswer: 3, 784687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98 - 1 = 22*f - 13 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3623761.3560582 - 3623762. Let b = 0.644 + t. Round b to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -5. Suppose -3*o - 6 - 2 = -v, g*v = -3*o + 7. Solve v*i - i = 2*y - 10, 4*y - i = 6 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g = 6*g + 6 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/8)\/((-21)\/588). Solve -29 = -9*c + x for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/968? (a) 0.2 (b) 14 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 297*f**2 + 20*f - 97. Let t be n(9). Suppose 33*v = -t + 67931. List the prime factors of v.\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17 - (0 + -3 - 1). List the prime factors of 3\/c - (-838)\/14.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i**(9\/4)*i*i))*i*(i**(-10\/7)\/i)\/i*i*i)**(-3\/14) assuming i is positive.\nAnswer: i**(-489\/392)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((sqrt(408) - (sqrt(408) - (sqrt(408) + sqrt(408) + -2*sqrt(408)*-2)))\/(sqrt(12) - 5*sqrt(108)))\/(sqrt(288) + -3*sqrt(288) - sqrt(18)*-2).\nAnswer: -4 + sqrt(17)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/6)\/((-95)\/1544415) a multiple of 147?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5319 - -5686. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 8*n**3 - 13642*n**2\/11 + 310*n\/11.\nAnswer: 2*n*(n - 155)*(44*n - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9607 + 9572.33. Round q to the nearest integer.\nAnswer: -35","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y. Let x be (-4)\/28 + (-129)\/(-21). Let s(d) be the third derivative of d**4\/12 - 3*d**2. What is x*s(q) - 15*c(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13413313 (base 5) to base 16.\nAnswer: 21d57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6799*l**2 - 18262*l**2 + 7605*l**2.\nAnswer: -17456*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, t: 3}. Give prob of picking 3 t.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the first derivative of 2*w**3\/3 + 49*w**2\/2 - 31*w + 222. Let c be g(-26). What is the greatest common factor of 611 and c?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.455536424 - -0.4?\nAnswer: -4.055536424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -4*g**2 - 439*g + 1762. Determine q(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 34908376 to the power of 1\/3, to the nearest integer?\nAnswer: 327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 2*s**2 - s - 2. Calculate t(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8 - 4) + 13)*-6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10102002011 - -120?\nAnswer: -10102001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 143\/(481\/(-37)) - (-6088)\/552.\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ed (base 15) to base 6\nAnswer: 1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -252 at most -252?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10185*u**4 + 2*u**2 + 2*u - 26 wrt u.\nAnswer: -244440*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4206542 (base 7) to base 4\nAnswer: -1323222233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 505, 513, 531, 565, 621?\nAnswer: 705","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -0.5, -1, -4, 0.05, -0.094?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 2:03 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3314849753280.17999946 - 3314849611023. Let h = v - 142257.57. Let x = h + 0.39. What is x rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.259363 to one decimal place.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 3 - (-74 - 0). Calculate the highest common divisor of d and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -88, -154, -206, -238, -244?\n\"Answer: u**3 + u**2 - 76*u - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 672213617, 1344427234, 2016640853, 2688854474, 3361068097?\nAnswer: 4033281722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 9) + -51 + 45 + 18\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p - 20 = p. Suppose 4*v - 3*v = 9. Let h(u) = u**2 + 16*u + 44. Let x be h(-13). Solve d = -q + x, -d + q + v = p*q for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 3058592?\nAnswer: -3058594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2877, -13743, -32619, -59499, -94377, -137247, -188103, -246939?\nAnswer: -313749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 0.1 (c) -12554716\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34\/129 - -3\/43. Let i(r) be the third derivative of 0 + 0*r - 1\/12*r**4 + 4*r**2 - g*r**3. Differentiate i(x) wrt x.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -68 + 114. Let f be (1\/2)\/((-23)\/d). What is the second biggest value in f, 0.5, -0.4, 5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 5727510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.03 - 0.43. Let m = n - -0.3. Let a = m + -0.1. Which is smaller: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 34 - 24. Suppose -18 - 7 = -5*p. What is the highest common factor of i and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 1)*(4*d - 2*d - d)*(88 - 203 + 67)*(-d - 4 + 4)*(-21 - 22 + 33)*(1 + 0 - 2) as w + h*d + v*d**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 take away 93599?\nAnswer: -93598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 1)*(3*o - o - o)*(-3 - 2 - 3).\nAnswer: 16*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -72787, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 3*k**2 - 52*k + 12. Let q be v(-6). Sort 3, q, 977.\nAnswer: q, 3, 977","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 61 = z + 226, -n = -2*z - 327. Let p = -2 - z. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + (0*1\/4)\/(-1). Suppose g*u = u + 6. Solve 5*v - 3*v - 2*c = -8, 4*v - u*c = -10 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35903*b + 1879 = 36023*b - 761 for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-2)*(-96)\/(-72).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 10111?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, x: 2, v: 2, l: 4}. Give prob of sequence xvl.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -o**3\/5 + 413*o**2\/5 - 406*o\/5 - 2472\/5.\nAnswer: -(o - 412)*(o - 3)*(o + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 488 is divided by 241.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 485432, 973315, 1461198, 1949081, 2436964?\nAnswer: 2924847","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2640 divided by 44\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 5:23 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 96\/(-10)*((-48144)\/(-1344) - 36)\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5535177181.\nAnswer: 5535177181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 21 = b + 6, -c + 3*b + 3 = 0. Suppose -m = c*m - 84. Calculate the highest common factor of m and 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 57 + -24. Suppose 0 = -2*q - q + 6. Suppose 0 = 4*l + 4, 3*o + q*o = -l + 14. Calculate the highest common factor of f and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 4155.921km?\nAnswer: 4155921","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 3:01 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 114 + 256 = 3*l, 6*l - 5*r - 254 = 0. Calculate the greatest common divisor of l and 24508.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*t + 28*t + 203 = 3*p, 0 = -3*p + 3*t + 201. Let w(z) = 27*z - p*z + 12 + 43*z. What is w(-8)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*v - 7*v + v + (0*v + v + v)*(4 + 0 - 5) + 2*v + v - v + 5*v + 2*v + 5*v + (5 + 2 - 2)*(2*v - v - 3*v) in the form b*v + z and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 52270 (b) -0.5 (c) -872 (d) 2 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -8*o + 13*o. Let u = o - -12. What is the smallest common multiple of u and 22?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 956*o**3 - 12236*o**2 + 26184*o + 5760 = 0.\nAnswer: -48\/239, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/206 and -7\/2.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 160 (b) 8 (c) 0.1 (d) 2 (e) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -92\/15 and (-11)\/((-396)\/56) - (-1)\/6.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wokodoq. Give prob of picking 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -278\/3 in -2, -5, 1\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 410c8 (base 14) to base 2.\nAnswer: 100110001110101000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*(v\/v**1)\/v)\/v)**(-46)*v**(-1)*v**(2\/15))\/((v*v**(-2\/9))\/v*v*v**1)**(-19) assuming v is positive.\nAnswer: v**(3551\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111112300203 (base 4) to base 6.\nAnswer: -315553443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -19*m. Does 4 divide k(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 496797997 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) 49 (b) 11 (c) 18537\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14329 is divided by 2046?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f - 1. Suppose 3*v + 12 - 4 = z, 3*v + 13 = 2*z. List the prime factors of q(z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4*((-44)\/(-1760))\/((-4)\/(-30))?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2723140 is divided by 76.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29278*l**3 - 29270*l**3 - 29271*l**3 + 87808*l**3.\nAnswer: -11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 951602?\nAnswer: 2, 23, 137, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (978\/(-815))\/((-3)\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/84, 1027, 3, -0.5.\nAnswer: -0.5, -1\/84, 3, 1027","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: 5*0.089\nAnswer: 0.445","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 72 + -73. Which is the closest to -1? (a) 4\/3 (b) x (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23589, -23583, -23573, -23559, -23541, -23519, -23493?\n\"Answer: 2*a**2 - 23591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.05? (a) 5\/6 (b) 17 (c) 1.4 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-56)\/8*(-14)\/49. Let v(q) = -2*q**3 + 5*q - 1. What is v(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2163120 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*q*s**4*w**2 - q*s**2 + 11*q + 6927*s**4*w**2 + 227*s*w**2 wrt s?\nAnswer: 1368*q*s*w**2 + 166248*s*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 7*c - 6. Let d(x) be the first derivative of 13\/2*x**2 - 11*x + 9. Let a(t) = t**3 - 5*t**2 + t + 4. Let s be a(3). Give s*r(n) + 6*d(n).\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 107, 133, 157, 179?\nAnswer: 199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**2 + q. Determine d(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 3. Let w = 0.6 + 2.4. Put -0.5, c, w in decreasing order.\nAnswer: w, c, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 197.294 - 207.3079. Let z = -8.51389 - d. Let b = -1.5 + z. What is b rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -41, -55, -63, -65?\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01076349 rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, j: 8}. Give prob of picking 4 j.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/11*c - 8\/11 + 8\/11*c**2 - 2\/11*c**3.\nAnswer: -2*(c - 4)*(c - 1)*(c + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixth of a millennium?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-84)\/24 + 5)*-1*2. Let b(u) = -11*u - 53. Let t(r) = 4*r + 18. Suppose 0 = -c + 2*c + 8. Let a(d) = c*t(d) + o*b(d). Give a(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + t + 1 + t)*(2*t**3 + 3 - 3) - 2*t**4 - 8*t**2 + 8*t**2.\nAnswer: 2*t**4 + 4*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 14*s**3\/3 - 9. Let f(m) be the first derivative of 0*m**2 + 0*m + 2\/3*m**3 - 1. What is f(y(h))?\nAnswer: 392*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -127 + 5*g - 87 + 220. Let o(p) = 6*p + 7. Give -5*n(v) + 4*o(v).\nAnswer: -v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2+-0.926\nAnswer: 1.074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -246*w**3 + 3*w + 4. Let p(j) = 245*j**3 - 4*j - 5. Determine -3*p(m) - 4*y(m).\nAnswer: 249*m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/933 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -29713 - 67a?\nAnswer: -2a292","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 13b774 + 5?\nAnswer: 13b779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -526 - -2211105?\nAnswer: 2210246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 20, -0.1, -79, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, -1, -2\/5179, 0.4.\nAnswer: -1, -2\/5179, 0.4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 672 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(1\/3))\/q*q)**18*q**(-2)*q**(-5) assuming q is positive.\nAnswer: q**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25, -30, -37, -46, -57, -70?\n\"Answer: -a**2 - 2*a - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 1:29 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**3 + 11*w**2 - 26*w + 192. Let x be n(6). Factor 2\/13*u**3 + 2\/13*u**4 - 2\/13*u - 2\/13*u**2 + x.\nAnswer: 2*u*(u - 1)*(u + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r - 2. Let t(a) = -9 + 2*a + a + 6*a - 4*a. Let g(q) = 11*j(q) - 2*t(q). Let p be g(9). Solve 3 + p = 4*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140*n = -156*n - 128. Let z(m) = m**3 + 9*m**2 + 9*m - 1. Calculate z(n).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3552 is divided by 148.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 220?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 20 = -4. Let l be (11\/(-4))\/(i\/96). Let j = -30 + l. What is the highest common divisor of j and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u + 470 = 3310. Let m = u + 360. Let z(h) = -h**3 + 2. Let i be z(0). Solve 4*k - i = -g + 2*k, -5*g - m*k + 10 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**3 - 2*k**2 - 10*k - 6. Is z(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13632, -40812, -86112, -149532, -231072?\n\"Answer: -9060*k**2 - 4572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 3491*q - 2. Let s(m) = 2*m**2. Give c(s(n)).\nAnswer: 6982*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 3607 - 1617 = -6*a, 2*a - 1733 = -3*r. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -43\/10 (b) 2\/3 (c) 1\/5 (d) 217\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 103 - -187. What is the hundreds digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 726466.41 milliseconds to hours.\nAnswer: 0.201796225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 93128?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 44477280 and 72360?\nAnswer: 133431840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4329 - -4329. Solve k = -b - 3*v - 10, -v - 12 = -9*b + 5*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 5:05 AM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 3*x + 4. Suppose -15 = 10*f - 13*f. Let k(z) = -4*z - 7. Let q(i) = f*a(i) + 3*k(i). Let m be q(2). Solve -3*v = -4*h + h, v + 12 = -m*h for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 15419*c - 15421*c = 137, -4*v = -5*c - 260 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7167 + 150475\/21. Let d = -391687\/153 + 64206\/17. Let o = 1219 - d. Calculate the common denominator of f and o.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**3 - 2*j**2 - 20*j - 6. Let u be o(-3). Suppose -19*d = -u*d - 90. Solve 6*g - d*g = -12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39195, -75999, -112805, -149613?\n\"Answer: -q**2 - 36801*q - 2393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -0.3, 0, 79.\nAnswer: -0.3, 0, 16, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 10*w**2. Suppose -5*r + 14*r + 41 = 77. Let c(i) be the third derivative of 0*i + 0*i**3 + 15*i**2 + 0 + 1\/8*i**r. Determine c(y(k)).\nAnswer: 30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**5\/3 - 20*g**4 - 1300*g**3\/3 - 4000*g**2 - 40000*g\/3.\nAnswer: -g*(g + 10)**2*(g + 20)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2793, -2787, -2761, -2703, -2601?\n\"Answer: 2*d**3 - 2*d**2 - 2*d - 2791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -16500, -65945, -148346, -263709, -412040, -593345, -807630?\n\"Answer: -o**3 - 16472*o**2 - 22*o - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234\/19 or -12?\nAnswer: -234\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47048.9l in millilitres?\nAnswer: 47048900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 139.6, 4\/5.\nAnswer: 0.3, 4\/5, 139.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - 8*u - 6. Suppose 23*n + c + 27 = 19*n, 0 = n + 2*c + 5. Calculate v(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10 - 99?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 13*(1 + -2 + 2). Suppose 2*w = 8, g + 1 = 2*m - 2*w. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from hiriiirrrffrffrrii?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 6 + 17*t - 24*t - 26. Let q be i(-6). Let f = -19 + q. Let z(j) = j**3 - 2*j**2 - 3*j - 4. Determine z(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 7:14 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z + 4 - 0. Let g be 3*(z - (-4)\/(-2)). Let y be (6\/8)\/3 - (-175)\/(-140). Put g, y, 1 in ascending order.\nAnswer: g, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -12 and 438050935869?\nAnswer: 438050935881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -9688 or -9189?\nAnswer: -9189","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 57 = 4*f + 3*c, 4*f - c - 75 = 0. Suppose -5*i + 5*u - 5 = 0, -7*i + 4*u = -9*i + 40. Calculate the lowest common multiple of f and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 40*k**2*t**2 - 1021969*k**2 + 43596*k*t**2 - 32*t + 25 wrt t?\nAnswer: 80*k**2*t + 87192*k*t - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 9387127554?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v - 3*v)*(-4017 - 52*v + 4017) + (0*v + 3*v - v)*(-v + 3*v + 4*v).\nAnswer: 272*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27415 + -243887\/9. Let p = -316 + b. Let y be (-1)\/2 - 3\/(-14). What is the closest to y in p, 2\/5, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50246943 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 + f + 2. Let t be y(-2). What are the prime factors of t + 16 + (2 - 3)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128123*j - 128123*j + 2385*j**2.\nAnswer: 2385*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -7*f**3 - 5*f + 5. Let l be -7 - 2 - 5\/(-5). Let r = 12 + -17. Let a(t) = 11*t**3 + 8*t - 8. Calculate l*w(n) + r*a(n).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14)\/(-6) + 8\/(-12). Sort -4\/9, q, 0.1, 4.\nAnswer: -4\/9, 0.1, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**2 - 7*q - 12. Let i be b(-2). Solve -i*z + 15 = -15 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -45 - -67. Let t = 4 - 1. Suppose t*r = 14 + p. 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: Suppose h = 5*o + 64, h = -4*h - o + 372. What is the remainder when h is divided by (-1)\/(-1) - 8*-3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3100 and 1000?\nAnswer: 31000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + o - 6. Let b(t) = -t**2 + t - 7. Let v(x) = 5*b(x) - 6*r(x). Give v(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 15543 - 3?\nAnswer: 15540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 5 (b) -0.05 (c) 39.4724 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o + o + 14. Suppose 3 = o*y - 6*y. Suppose 0 = -z + y*q - 17, 0 = 2*z - 2*q + 13 + 5. Let n(s) = -s - 5. Determine n(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 40 + -34. Does 19 divide 171\/(150\/90 + (-1)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -6) + (-7 - (-2 - -3))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*o**2 + 0*o**2 + 0*o**2)*(2 - 5*o - 2) + 291*o**3 + 122*o**3 + 45*o**3 to the form j*o**2 + p + z*o + m*o**3 and give m.\nAnswer: 468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.03 - 0.17. Let r = 8.82 + -3.82. Which is the biggest value? (a) -1 (b) q (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -149\/140216934 and 95\/52.\nAnswer: 280433868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0237 + -233.9763. Let i = 233.999999496 + x. Round i to 7 decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3968?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a - 5*a - 25. Let m(g) be the third derivative of -g**6\/120 - g**5\/10 - 5*g**4\/24 + g**3\/2 + g**2. Let z be m(a). Solve z*k + k = -20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p**3 + 6*p**2 + 6. Suppose 0 = -4*h - 5*d - 29, -3*d = -h - 6 + 3. Let t be q(h). Suppose -4*r + 10 = -t. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-8)*20\/98. Let q = 1320 - 64682\/49. Let j = n - q. Which is the closest to j? (a) -5 (b) 1\/3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9483865?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 1710*s**2 - 145*s**3 + 4131*s - 725 - 5*s**5 + 116*s**4 - 269*s**3 - 295*s**4 - 166 = 0.\nAnswer: -33, -3, 1\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/(-21))\/((-22)\/(-66))?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -18 + (-16 - 14 - (-18 - -35)).\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1*((1667\/(-5) - -8) + 7\/5). Calculate the greatest common factor of k and 612.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5, -17\/120, -3\/8, 0.00828?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-2 + -6 + 12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -98*q - 218 - 1742 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(11))*3)**2 + -4 + -4.\nAnswer: 18*sqrt(11) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -82*k + 19. Let z be c(-3). Suppose 259*i = z*i - 570. Calculate the remainder when i is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.965311 milliseconds in hours?\nAnswer: 0.0000008236975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 8*y**2 - 16934*y. Let p(w) = -5*w. What is q(p(g))?\nAnswer: 200*g**2 + 84670*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -352809100 to the nearest one hundred thousand.\nAnswer: -352800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/15)\/((-2)\/108). Suppose -5*i - q = -10*i - 3*w, 4*i - 4*w - 48 = 0. Does 2 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 2*b**5\/5 - 89134*b**4\/5 - 1604842*b**3\/5 - 9719026*b**2\/5 - 22470448*b\/5 - 3495464 = 0.\nAnswer: -7, -2, 44585","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*b**2 + 3*b**2 + 0*b**2 + (0*b + b - 2*b)*(b - b + b) - b**2 + 0*b**2 + 0*b**2 - 7*b**2 + b**2 - b**2 as z*b**2 + u*b + d and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times -157091\nAnswer: 78545.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/4 and -75\/346?\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + -1 + 5 + sqrt(567) + -1)**2*-5.\nAnswer: -11385 - 540*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -114369, -114358, -114347, -114336, -114325?\n\"Answer: 11*d - 114380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31.3 - 30.702. Let z = s - 61.998. Round z to zero dps.\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 78 divide 1165879?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.489348 nanometers in kilometers?\nAnswer: 0.000000000004489348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1958 divided by -11?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*v**3 + 565*v**3 - 134*v**3.\nAnswer: 657*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*h - w + 4, 0 = w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5085*(-23 + 11)\/540.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w - 6*w + w)*(-3 + 619*w + 1 + 525*w + 2).\nAnswer: -6864*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Add together -49 and 3045.\nAnswer: 2996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (49 - 112 - -36) + (0 - 16)?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1248 and 456?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 7) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 160188432 to the power of 1\/3, to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 6*x. Let i(t) = -t. Let o(h) = -b(h) - 8*i(h). Let f(p) = 10*p + 4*p + p. What is f(o(j))?\nAnswer: 30*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/7 or -3763616?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (120\/16*(-84)\/(-10))\/1. Let k = x - 31. Is k a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1399051 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k**5\/3 - 40*k**4\/3 + 365*k**3 + 2810*k**2\/3 - 47600*k\/3 = 0.\nAnswer: -17, -8, 0, 7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 885327432 and 2952?\nAnswer: 984","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/(q*q\/q**(-23)*q)))\/q**(-2\/21))**34 assuming q is positive.\nAnswer: q**(18632\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 145 and 25764590.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 1 + 0*d**2 + 2*d**3 - 2 as n*d**3 + r*d**2 + v + l*d and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.67459 plus 1.3?\nAnswer: 0.62541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of 11*i**2 + 0 + 0*i**3 + 0*i - 1\/8*i**4. Let s(l) = 2*l**2. What is n(s(x))?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -728*-7.\nAnswer: 5096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -790, -743, -664, -553?\nAnswer: -410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes before 7:49 PM?\nAnswer: 2:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 5*v**2 + 131*v + 24. Determine o(-26).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 99 + -154. Let g = z - -87. Suppose 5*a = -5*h + 25, -g = -3*h + 4*a + 18. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 144441 - 5?\nAnswer: 144432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2317840960?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 332.\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, x: 3}. What is prob of sequence llx?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -5, -1\/6, -14\/75?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z**3\/5 - 23*z**2\/5 + 4*z\/5 + 92\/5 = 0.\nAnswer: -23, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 1496*g**2 + 2 + 512*g**2 - 18 + 5.\nAnswer: 2008*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, 5, -0.4, 4\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8795575 and 475?\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - 5) + 13 + 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3856596?\nAnswer: 2, 3, 321383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4. Let z(p) = p - 3. Let i(b) = -3*n(b) - 4*z(b). Let q(t) = -4*t - 23. Let c be q(-14). Let o(d) = 6*d + 61 - 28 - c. What is i(o(w))?\nAnswer: -24*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 61 - 16 = -x, -18 = 2*b + x. What are the prime factors of (-1)\/3*b\/1?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (51\/(-255))\/((-2)\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*q + 0*q - 11*q.\nAnswer: 28*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**2 - 7*g + 12. Let f be v(-9). Does 17 divide (-500)\/(-15) + (-4)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/3)\/h)**44*h**(-2\/9)\/(h*h**(-7))*(h**(1\/9)*h*h\/h**(3\/7)*h)**(8\/19) assuming h is positive.\nAnswer: h**(-8948\/399)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46039837?\nAnswer: 47, 967, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1050 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1.63 - 2.37. Let z = -1537083.000007 + 1537087. Let k = z + l. What is k rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127302 to the power of 1\/2, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -23\/3 - -64\/3. Calculate the common denominator of d and (-1)\/(-3) + (-22)\/48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.1 - -3. Which is the closest to -0.1? (a) q (b) 0 (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 30892?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqzzzzqzqqq. Give prob of sequence zzzz.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 479741 is divided by 54.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 11843 + 3041 = 3*q, 3*q - 8778 = -3*o. List the prime factors of o.\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -153 + 412*l**2 + 269 + 750*l**2 - 57 - 59.\nAnswer: 1162*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 198977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6416.\nAnswer: 2, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 n when three letters picked without replacement from fffnniffnffnfffnf.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 3 + 3)*(-16*m**2 + 16*m**2 + 9*m**2) + 45*m**2 + 39*m**2 + 26*m**2 to q*m + a + b*m**2 and give b.\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -130 - -118 - -2*(-4)\/8?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1170 is divided by 163.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1419568 (base 12) to base 15\nAnswer: 545985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -11. Suppose -2*l + t*g + 26 = 0, 3*l = -2*g - 2*g - 11. Differentiate -3*o**2 + 0*o**2 - l + 2*o**2 wrt o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(v*v**(9\/4)))*(v*v**(-1\/3))\/v)\/(((v*(v*v*(v*v*v**(-2\/21)\/v*v)\/v)\/v*v)\/v)\/v*v**(-8\/9)) assuming v is positive.\nAnswer: v**(479\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -112, -495, -1142, -2059, -3252, -4727, -6490?\nAnswer: -8547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5108.6 rounded to the nearest 1000?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -471.\nAnswer: 13\/471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 642*z**3 + 15*z**2 - 5*z + 2. Let g be f(4). Suppose -3675 = -3*t + g. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**5 - 8*q**5 - 2*q**5 + (-4*q**4 + 5*q**4 + q**4)*(-26 + 26 - 2*q).\nAnswer: -15*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 12 = 78. What is the smallest common multiple of 63 and (u\/12)\/((-123)\/126 + 1)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 38 = 4*m, 2*h - 9 - 19 = -3*m. Let q be m\/6 + 3 + -6. Which is the biggest value? (a) q (b) -0.2 (c) 2 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(-7) - (-95)\/7. Let i = 1 - q. Let m be (0 - 0)\/(i - -12). Solve -x - 5*v - 30 = -m*x, -15 = -2*x + 5*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - -58) + (-5)\/(-1). Let k(g) = -2*g + 81. Let y be k(21). What is the highest common factor of y and f?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.94 * -6343.\nAnswer: -12305.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 17*w**2 - 89*w + 14. Calculate v(-18).\nAnswer: 1292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes after 3:02 AM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*f + 2*v - 78, 2*v - 21 - 25 = -3*f. Suppose 20*l - f*l - 48 = 0. Suppose -l - 50 = -2*s. What are the prime factors of s?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17603*w - 17587*w + 5*b = -50, 3*w - 5*b = -45 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 286*q - 194. Let b(p) = 144*p - 97. Let m be ((-18)\/12)\/(7\/14). Let c(k) = m*i(k) + 5*b(k). Differentiate c(d) wrt d.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 157527*k**2*t**2 - 311*k**2*t + 182612*k*t + 19*t**2 wrt k.\nAnswer: 315054*t**2 - 622*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/2*7*-14. Let f = 44 + -28. Let z = s - f. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -2*l**3 + 40*l**2 + 5*l - 13. Let w = -58 - -78. Let m be t(w). Suppose -m = y - 304. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1552 - -1541. Which is smaller: -0.27 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of 23*h**6\/60 - h**5\/60 + 3*h**2\/2 - 46. Let b(p) be the second derivative of d(p). Find the third derivative of b(t) wrt t.\nAnswer: 276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the third derivative of -l**8\/36 - 17*l**7\/315 + 17*l**6\/90 + 13*l**5\/90 - 5*l**4\/9 + 4*l**3\/9 + 37*l**2. Suppose j(f) = 0. What is f?\nAnswer: -2, -1, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 13*o**2 + 21*o**3 - 61*o**3 - 24*o**2 - 4*o**2.\nAnswer: -40*o**3 - 42*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, 2, 1 in ascending order.\nAnswer: -14, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 60166197209 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1143045 (base 6) in base 12?\nAnswer: -2aa85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**3 - 6*g**2 + 4*g - 10. Suppose 5 = j + 1. List the prime factors of i(j).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1417 - 1413. Solve 3 = -j*i + 7*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 equal to -2\/11189?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 9*c**2 + 709*c - 1415. Let u be g(2). Solve -287 = 80*k - u*k for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1529 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33 - 85*x**2 + 59*x**2 - x + 56*x**2 + 18*x**2 + 33.\nAnswer: 48*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4\/11 + 31\/55. Factor 0*i + 0 + 0*i**3 + j*i**4 - 1\/5*i**2.\nAnswer: i**2*(i - 1)*(i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/(-189) + ((-5760)\/(-14))\/15.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 11:08 PM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 66*v - 212. Let j(s) = 37*s - 106. Give 4*c(f) - 7*j(f).\nAnswer: 5*f - 106","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010110100101 - -11?\nAnswer: 10010110101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 931.1823 months in decades?\nAnswer: 7.7598525","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -10? (a) -1\/4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -23, -36, -49, -62, -75, -88?\n\"Answer: -13*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 4. Let x(a) be the second derivative of 11*a**3\/6 - a**2\/2 + 2*a. List the prime factors of x(q).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(4*2\/8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -132 - -132.2200032. Let t = 26.78 - 27. Let u = t + f. What is u rounded to six decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**2 + 14*c - 41. Let p be a(5). Suppose p*v - 3*v - 5*f = -22, 0 = -v + 4*f - 17. Solve -2*h = 2*r, 4 = -h - v*r - 2*r for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the third derivative of -1\/60*n**5 + 1\/6*n**4 + n**3 + 0*n - n**2 + 0. Calculate g(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-5)\/15)\/(2\/(-678)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/73350 and 4\/3.\nAnswer: 73350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are -441617 and -441617 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 60\/10*2\/4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 9*p + 10 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.14*-0.51547.\nAnswer: -1.1031058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2304 to the power of 1\/2, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6524273, 6524280, 6524287?\nAnswer: 6524294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 25. Let l = -7 - r. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of 125*r**4\/6 + 5*r**3\/6 - r**2 - 7*r. Is t(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2514380 and -0.135.\nAnswer: 339441.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3)\/p)**(-21)\/(((p\/p**(-11))\/p)\/(((p*p*p*p**1*p)\/p)\/p)))**(-2\/43) assuming p is positive.\nAnswer: p**(-152\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from qqeeqseee?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s + 30. Let x be h(-8). Calculate the greatest common divisor of x and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = -2*b + 18 + 16, 3*i + 9 = 0. Let h = -12 + b. Let d be (-990)\/h + -1 + 1. What is d rounded to the nearest one hundred?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c (base 13) to base 11\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11724 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 0, 5*o - 2*s - s - 71545 = 0. What is o rounded to the nearest 1000?\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 - 8*h - 1. Let w be y(6). Let s = 16 + w. Find the third derivative of -55*f**2 - f**3 + 0*f**s + 53*f**2 wrt f.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -1508?\nAnswer: -6032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -5*o - 12 - 0, -5*v - 30 = o. Let a = -3 - v. Let n(r) = -r**3 + 3*r**2 + 2*r - 1. Let d be n(a). Sort d, -2, 3.\nAnswer: -2, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -8, 8264, -5 in descending order.\nAnswer: 8264, 1, -2, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 2)\/(4\/(-10)). Let f(b) = -10*b + 8. Let k be f(-6). Suppose v*y - k = y. Calculate the remainder when y is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 3\/10 of a millennium?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 2 u when three letters picked without replacement from {a: 1, s: 1, o: 8, f: 2, u: 3, h: 2}.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7238 + -36382\/5. Which is smaller: -39 or z?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (14 - 4)\/((-6)\/(-6 + 3)). Let x(v) = -v**3 + 3*v**2 + v. Suppose 0 = -5*p + 3*p + 6. Let t be x(p). Solve -s*g = -r, -5*r = -2*g + t + 20 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1453223 (base 7) to base 13\nAnswer: -6c19a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 196730892 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24133.4 - -24159.39894. Let h = -26 + j. Round h to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -28 - -30. Suppose 3*y = b*y + 4*y. Factor r**3 - 1\/2*r**4 + 1\/2*r**2 + y - r.\nAnswer: -r*(r - 2)*(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/1*(28\/(-3))\/28*(-2)\/(-17)\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 5*l - 0*l + 35, -5*t + 4*l = -32. Suppose s = 2*s - 11. Calculate the remainder when (-2)\/(t\/(-6)) - -40 is divided by s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29, -53, -63, -53, -17, 51?\n\"Answer: n**3 + n**2 - 34*n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 556 and 1148557.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gpd when three letters picked without replacement from {d: 2, g: 2, p: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -2\/5*y + 2 + 2\/5*y**2 - 2\/15*y**3. Factor r(l).\nAnswer: -2*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 + 6*w + 114. Is 3 a factor of g(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lllllzzvhzllvzzzdd. What is prob of picking 1 d and 1 z?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 2 b, and 1 u when four letters picked without replacement from bwwbudr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + 2*l**2 - 5*l**2)*(1 - 5*l**3 + 6*l**3 - 2*l**3)*(3 + 2 - 3).\nAnswer: -4*l**5 + 4*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1590446 and 737.\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2 + (-1 - -3 - 5) + 4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(182)\/(sqrt(7)*2) - sqrt(52)\/(sqrt(12)\/sqrt(6) + sqrt(2)))\/(sqrt(18)*4*-2 - sqrt(18)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191 = -5*s + 729. Let v = s + -189. Let x(c) = 3*c - 2. Calculate x(v).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*1\/8)\/(21 + (-21 - -5)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2800813 (base 10) to base 3.\nAnswer: -12021021222211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -130*y**2. Let a(v) = -3*v. Give p(a(u)).\nAnswer: -1170*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -124876*s**2 - 6994 + 6992 + 51*s**3 + 124876*s**2.\nAnswer: 51*s**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 5:44 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1288105074*g**2 + 47942415*g.\nAnswer: 2576210148","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204*(-210)\/560*2\/(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 198 = -14*x. What is the greatest common divisor of x and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*a + 3 = -60*a. Let k(i) = 0*i + 11*i**2 - 3*i + 0*i**2 + 3*i. Give k(a).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 239 - 55 = 4*r, 2*r = -5*w + 118. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 643, 636, 619, 586, 531, 448, 331?\n\"Answer: -v**3 + v**2 - 3*v + 646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-3 + 2 + sqrt(3872) - (3 + sqrt(3872))*-4) + 0)**2.\nAnswer: 43560*sqrt(2) + 872289","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes before 7:06 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((28\/(-3528)*-36)\/(2\/14))\/(-79).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -12.311?\nAnswer: 24.622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -16779918 by -3.\nAnswer: 5593306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 5*u - 3. Let d(h) = 4*h - 4. Let j(t) = -3*d(t) + 4*y(t). Let m(v) be the first derivative of 10 + 0*v - 1\/2*v**2. Calculate m(j(p)).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 80216791 less than -0.2925?\nAnswer: -80216791.2925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 10934612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010100010101001101111001 + 1?\nAnswer: -1010100010101001101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1101421, -2203952, -3306483, -4409014, -5511545?\n\"Answer: -1102531*l + 1110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 26195 and 30.\nAnswer: 157170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 150 + -1?\nAnswer: 145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4661 and 197?\nAnswer: 918217","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 194*s**2 - 1207*s - 38. Calculate v(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + f + 2, -f + 3*f = -l - 4. Solve l = 5*t - 9 - 11 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29839\/6 + -4959. Let l = 7581 + -90901\/12. Calculate the common denominator of l and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q\/(q\/(q*q**(-16\/7)))))\/(q\/(q*((q*q\/q**(-21\/4))\/q)\/q)))\/(((q*(q\/q**(-2\/27))\/q)\/q)\/q**(10\/3)) assuming q is positive.\nAnswer: q**(8161\/756)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the second derivative of -14*u**3\/3 - 5*u**2\/2 - 14*u. Let g(f) = -27*f - 4. Let h(b) = 5*g(b) - 4*x(b). Let o(p) = p**2. What is o(h(z))?\nAnswer: 529*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -64 - -74. Let z(g) = -5*g + 50. Let j be z(f). Suppose j = -2*k - 4*k + 30. Calculate the greatest common divisor of 40 and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1084 divide 547156159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1010b - -36?\nAnswer: 10145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.422, 1\/2, -15.\nAnswer: -15, -3, -0.422, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + 0*n**2 + 0*n**2)*(-3224209*n - 526 - 35173 + 3224211*n).\nAnswer: -2*n**3 + 35699*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1138428 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0867518nm to meters.\nAnswer: 0.0000000000867518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**3*r*r*r\/((r*r*r**(-5)*r)\/r)*r)**(-8\/11) assuming r is positive.\nAnswer: r**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 + 13)*(-4)\/7.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5326 + 6575. Does 9 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1, 147, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -133*x**3 - 114*x**2 + 114*x. Let d(m) = -m**3 - m**2 + m. What is -114*d(q) + o(q)?\nAnswer: -19*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -0.61, -0.3, 0.5, -1.2, -5\/7?\nAnswer: -0.61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/35)\/(1\/5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/1148 and -107\/126?\nAnswer: 10332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 12*x - 8. Let v be r(11). Let q = 420 + -420.3. Which is the closest to -2\/13? (a) q (b) v (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/132 and 1\/88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = m**2 - m - 7. Let s be w(4). Suppose 14*n = s*n + 234. What is the remainder when 41 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -161191*n**4 + 2*n**2 + 57617*n wrt n?\nAnswer: -3868584*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 - 0.3. Let a(f) = -f**3 - 16*f**2 - 28*f + 12. Let n be a(-14). Let g be (-3)\/n*60\/(-35). What is the biggest value in x, 2\/9, g?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 + 30 = -2*r. What are the prime factors of r?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 2*o + c, 2*o - 2*c + 4 = 14. Calculate the remainder when 159 is divided by o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 - 3*k**2 + 5*k - 4. Let h be u(-5). Let s = 60 - h. Suppose -w + 39 = 3*a - 6*w, -2*a - w = -s. Does 16 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 6*h**3 - 679*h**2 + 115*h - 45. Give k(113).\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -342.882 + -28\nAnswer: -370.882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7\/1025 + 3089\/2050. Which is the nearest to -0.1? (a) -4\/5 (b) 7 (c) -3\/11 (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -93.1 + -0.13.\nAnswer: -93.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 616 = 183*k - 145*k - 486 for k.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -367 (c) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + v)*((2*v - 2*v + v)*(0*v**2 + v**2 - 3*v**2) - 26*v**2 + 58*v**3 + 26*v**2).\nAnswer: 56*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i + 13*i**2 + 2*i**2 - 9*i**2 to g*i + o + v*i**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 9*n**2 - 60*n + 250. Let g be k(4). Calculate the highest common divisor of 28 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3030, -2996, -2960, -2922?\nAnswer: -2882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 47*q + 4. Let y be v(-2). Let k = -191 + 129. Let j = k - y. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/27 - (-392)\/189. Let x(v) be the first derivative of 1 + 10\/7*v**k - 24\/7*v + 4\/21*v**3. Let x(c) = 0. What is c?\nAnswer: -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of h**3\/2 - 73*h. Let q(g) = -11*g**2. What is p(q(i))?\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1262634 to the nearest integer?\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -118, 487, 0.04.\nAnswer: -118, 0.04, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 24? (a) -5\/3 (b) 0.4 (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-7 + -9)*(-39375)\/(-1). What is g rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -2*h**3 + 5*h**2 + 7*h - 10. Let q(t) = -t**3 + 4*t**2 + 6*t - 9. Let p(x) = 6*b(x) - 7*q(x). Let s be p(3). Let l = s + 166. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221933100 rounded to the nearest 1000000?\nAnswer: -222000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/1)\/(3*2\/(-3))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 148*i. Let l be r(0). Suppose -3 = -3*p + f, 5*p + 0*f - 25 = -5*f. Solve 0 + 2\/5*j**p + l*j = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s**2 + s. Suppose 0 = -5*r + 12 - 2. Let n be u(r). Let o = 23 - n. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + y - 14 = 0, -5*l - y = -5*y - 46. Calculate the least common multiple of 8 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*m = 6*m - 54491, 0 = 2*q - 5*m - 54473. List the prime factors of q.\nAnswer: 2, 7, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = p + 3*u, 24 = 4*p - 5*u + u. Find the third derivative of 190 + 26*z**3 - 14*z**p - 190 wrt z.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(sqrt(133)*-1 + sqrt(133)) + -1*(sqrt(133) + sqrt(133)*-2) + sqrt(133))*-3)\/(sqrt(126)\/(sqrt(98) + (sqrt(98) - sqrt(98)*-1 - sqrt(98)))).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 5\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iviigvgigvi. What is prob of picking 1 i and 1 v?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 615450895 to the nearest integer?\nAnswer: 24808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 6*k. Suppose -2*j + 0*f + 16 = 4*f, k = -3*j + 3*f + 6. Calculate the remainder when 11 is divided by j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 27.16 * 8.6.\nAnswer: 233.576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) be the third derivative of -t**6\/220 + 4*t**5\/55 + t**4\/44 - 8*t**3\/11 - t**2 + 9*t + 36. Solve k(d) = 0.\nAnswer: -1, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(36)\/(sqrt(12)*-4) + (sqrt(3) - sqrt(147))*2 + 4.\nAnswer: -49*sqrt(3)\/4 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 366?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 321061 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -34*n**3 - 25*n**2 - 243*n + 5. Is m(-13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 7*w + 2. Let j be r(-2). Let f be j\/(-6) + 1*2. Sort 5, -3, f in ascending order.\nAnswer: -3, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 9, o: 2}?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2272.\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u - 3. Solve 4*r = 2*k + 18, 3*k - 4*k - 3*r + u = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-125*c - 32*c - 168*c - 41*c)*(0*c - 3*c + 2*c).\nAnswer: 366*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**5 - 3*u**5 + 0*u**5 + (-3*u**3 + 3*u**3 - u**4)*(2*u - 6*u + 3*u) - u - 17*u**5 + 4*u - 5*u + (-5*u + 5*u + u)*(4*u**3 - 4*u**3 + u**4).\nAnswer: -17*u**5 - 2*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g - 190. Let u be h(-40). Solve 22 = -4*v + 3*r, 6*v - v + 5*r = -u for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - y - 80 = -2*p, 0 = -p + 4*y - 20. Let l be 0\/(-4*5\/p). Solve 0 = -4*n - w + 13, 0 = -l*n - 3*n - w + 10 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*r**4\/2 + 10935*r**3 + 40336311*r**2\/2 + 871585110*r + 9529569654.\nAnswer: 3*(r + 22)**2*(r + 3623)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10969+-147064\nAnswer: -136095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3296 and 103.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.3638866 rounded to 3 decimal places?\nAnswer: 11.364","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 6688617 divided by 171503?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19*40\/(-21280))\/(2\/(-8))?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -2 (c) -0.0683 (d) -7\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 116935.\nAnswer: 5, 7, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -431 + 431 + 7*z**2.\nAnswer: 7*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 47783293 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33178?\nAnswer: 2, 53, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from ysys?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2996 times -4322?\nAnswer: -12948712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 v, 1 i, and 1 c when four letters picked without replacement from viervvrreycey.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (11 + 15 + 2*j**2 + 3)*(j**2 - 3*j**2 + 4*j**2) in the form x*j**3 + q*j + u*j**2 + k*j**4 + i and give u.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -7*v**6*y + v**6 + 3*v**3*y - 2*v**2*y - 45*v wrt v?\nAnswer: -840*v**3*y + 120*v**3 + 18*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22477600?\nAnswer: 2, 5, 28097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2048 and -951.8.\nAnswer: -951.5952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2742.22 minutes?\nAnswer: 164533.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 864 = 5*w. Let q = w + -96. Calculate the highest common divisor of 24 and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 82131?\nAnswer: -82130.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8.0088 - 8. Round m to 3 dps.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 4*a**3 - 4*a. Let d(b) = -12*b**3 + 11*b. Let c(t) = t**2 - 5*t - 6. Let r be c(-3). Let j = r + -22. What is j*d(v) - 11*s(v)?\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -55432 - 2?\nAnswer: -55434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.05217 times 0.4?\nAnswer: 6.820868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80218?\nAnswer: 2, 19, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*u - 8*s, 1613 = 2*s + 1609 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -502632481 divided by -3193?\nAnswer: 157417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of z**6\/180 - z**5\/15 - z**4 - 4*z**3 + z - 123. Let c(u) be the third derivative of b(u). Factor c(m).\nAnswer: 2*(m - 6)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 719, 714, 707, 698?\nAnswer: 687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1140 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(637) + 0 + -1).\nAnswer: -21*sqrt(13) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the first derivative of 3*b**2\/2 + 4*b + 58. Let u(r) = -1. Calculate o(p) + 5*u(p).\nAnswer: 3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5, 5*o - 87 = u + 40. Let s = u + 447. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-51)\/(-34))\/(-2 - 22\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3955 is divided by 40?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 297, 1177, 2643, 4695?\n\"Answer: 293*z**2 + z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g = 23*g - 3597. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of 1852*s**2 + 3180*s + 6316. Differentiate f(g) wrt g.\nAnswer: 3704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5883, 11768, 17653?\n\"Answer: 5885*b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -131, 18, -0.5, -0.4, 1, 5 in ascending order.\nAnswer: -131, -4, -0.5, -0.4, 1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the second derivative of 0*d**2 - 19\/12*d**4 + 0*d**3 - 21*d + 0. Let k(f) = -f. What is y(k(m))?\nAnswer: -19*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 72797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/60 and -37\/40.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(-21\/5))**(1\/11)*(f\/(f**(-25)\/f))\/f*f\/f**18)**(-1\/53) assuming f is positive.\nAnswer: f**(-521\/2915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**2 + 5*d + 6. Let s be h(-4). Let y be ((-2)\/(-2))\/((-1)\/5*-5). Put y, 5, s in decreasing order.\nAnswer: 5, s, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 4*v = 4, 0*v + v = -4*d + 1. Suppose -5 + 1 = -4*p, 2*b + 4*p + 4 = d. Let k be 2 - (-1 - -2 - -4). Put 5, k, b in ascending order.\nAnswer: b, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 9 = 3*b, -4*u = -2*u - 2*b - 22. Put u, -5, -2, 4 in descending order.\nAnswer: u, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 8 = 4*g. Solve g*k - 5*q = -k + 15, q = -4*k + 7 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve p = 7*p - 7*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) + sqrt(171) + (sqrt(171) - -4*2*sqrt(171)) - sqrt(171)))\/(sqrt(900)*3 + sqrt(900) + sqrt(9)).\nAnswer: 11*sqrt(19)\/41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2225\/7 - 19955\/63. What is z in -4\/3 - 2\/9*z**2 + a*z = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6 and 115410?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the first derivative of -1\/2*g**2 - 11*g - 271. Determine c(-17).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhhhhhhhxhhh. Give prob of picking 2 h and 1 x.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 98*w - 94*w - 20. Let n(b) = -b**3 + 11*b**2 + 7*b - 6. Let u(r) = -r**3 + 13*r**2 + 8*r - 7. Let j(d) = 4*n(d) - 3*u(d). Calculate j(w).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 397980 to the power of 1\/2, to the nearest integer?\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-11))\/((w*(w*w*w\/w**(4\/3)*w)\/w)\/w)*(w*w*w\/(w*w**(-20\/9))*w)**16 assuming w is positive.\nAnswer: w**(845\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:33 AM and 10:37 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 2667315?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 - r + 5 + 2*r)*(4 - 3 - 3) to o + u*r and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 10*g**2 + g. Let z be a(-1). Let s = z - 7. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/10620 and -22\/13275.\nAnswer: 53100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(1 + -2) + 6. Suppose o*n = -6 + 1. Let m(a) = -8*a**3 - a**2 + a + 1. Let g be m(n). What is the highest common factor of g and 35?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 10 = -6*o - w, -2*o - 8 = -2*w. Let j be o*(2 - (-6 - 2\/(-2))). List the prime factors of (j - -42) + (-3)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 234.761401 rounded to two dps?\nAnswer: 234.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do 35 and 32 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 3*q**2 + 406*q + 5461. Give j(-15).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -77 + (-84 - (-203 - 14))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in 22, -5, 1\/6, 0.4, 7\/5, -441?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.009256222481 rounded to three decimal places?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*k + 18. Solve g - k + 0 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121.817 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of -5*x**2\/2 - 50*x - 35. What is the first derivative of v(m) wrt m?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3117327168 to the power of 1\/3, to the nearest integer?\nAnswer: 1461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/429)\/(77\/(-3267)*81).\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2822376 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1172 or 252252\/215?\nAnswer: 1172","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2041*b**2 - 5652*b + 942. Let f(i) = -i**2 + 12*i - 2. Give 471*f(k) + h(k).\nAnswer: 1570*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - ((-1 - -13) + (-19 - -53 - 42)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(-268)\/(-1136) - (-10)\/40. Which is the second biggest value? (a) p (b) -3 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-136)\/(-476)*7*1\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 145, 616, 1417, 2548, 4009, 5800, 7921?\nAnswer: 10372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*n - 17*n + 36*n - 17*n**3 + n**2 in the form i*n**2 + x*n**3 + u*n + k and give x.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**5 - 303*y**4 + 11466*y**3 - 196392*y**2 + 1415904*y - 2765952.\nAnswer: 3*(y - 28)**3*(y - 14)*(y - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -376119, -376107, -376093, -376083, -376083, -376099?\n\"Answer: -h**3 + 7*h**2 - 2*h - 376123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*2\/(-4)*2 + 3. Put 1, -9, 3, j in increasing order.\nAnswer: -9, j, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 1, w: 1, n: 2, t: 1, l: 1, m: 1}. What is prob of sequence ctw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/31 in -23, 0.5, 2\/9, -5, 6?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -173098 * -2865.\nAnswer: 495925770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8 = -0. What is the common denominator of 2 - 335\/(-100)*-1 and (-297)\/12*1\/a?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -118390232573 and -3.\nAnswer: -118390232576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the first derivative of k**7\/840 - k**6\/360 - k**3 - 3. Let o(n) be the third derivative of i(n). What is the third derivative of o(c) wrt c?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-42)\/(-16)*48\/576\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8927461 rounded to the nearest 10000?\nAnswer: -8930000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.08 + 6.92. Let f = w - 4. What is the second smallest value in f, -1\/3, -0.4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 25 + -29. Let q = 1193\/7 + -170. Which is the biggest value? (a) f (b) q (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in six fifths of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4882?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**5\/7 - g**4\/7 + 9*g**3\/7 - 11*g**2\/7 + 4*g\/7 = 0. Calculate g.\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3 + 8\/12. Let z be (j + -4 - -1)\/2. Let a = 1 + z. Is a at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 903791 to the power of 1\/2, to the nearest integer?\nAnswer: 951","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in seven sixths of a week?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b when two letters picked without replacement from {s: 1, b: 3, c: 1}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3318283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -97\/70 and -99\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 39252200333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-7 - -5) + 0 + 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**3 + 3*q**3 - q**3)*(209*q - 109*q - 119*q + 4 - 58*q).\nAnswer: -154*q**4 + 8*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2944 and 736.\nAnswer: 2944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5.44 - -10.55. Let j = -0.11 + h. Suppose -5*f = v - 0*v, -14 = -f - 3*v. Which is the closest to f? (a) 0.1 (b) j (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2*r + 10 = 0, 4*r + 18 = -2*l - l. Let n be -10 + 8 + (-16)\/l. What are the prime factors of 292\/n - 8\/12?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 364 and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 + 1 = 2*o. What is the lowest common multiple of o and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 1. Let a(q) = q - 3. Let d be a(5). Suppose j + 4*m = 3*m - d, -5*j + 5*m + 30 = 0. Calculate f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 286 + -285.9999879. Round d to six dps.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -2*c - 9. Let u be b(-6). Suppose -1 - 7 = -u*d - 2*t, d - t = 1. Suppose d*w - 101 - 223 = 0. Is w a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 560601 and 18225?\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 251256857?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8 - 0)\/(-2) - 2. Suppose -h*g = 3*r - 2 - 7, 0 = -4*g - 4*r + 12. Let z = -11 + 12. Solve -m - z = -g*m for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -354, -1, 137 in increasing order.\nAnswer: -354, -1, 137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - x + 1)*(4*x + 2*x + 10*x)*(-x + 5*x - 3*x) + (-3 + 3 - 2*x)*(107*x - 118*x**2 - 107*x) - 4*x**3 + 0*x**3 + 2*x**3.\nAnswer: 218*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 + 15*x**2 + 10*x - 13. Let v be q(-14). Let k = 73 - v. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000101843607 to 7 decimal places.\nAnswer: -0.0000102","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 744.98076 milliseconds to hours.\nAnswer: 0.0002069391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 8 (b) -6 (c) 1 (d) 0.5 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j = -0*j - 8. What is the tens digit of (j + 14 + -7)\/(3\/146)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -80 + 14 + (-26 - -73) + -50.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -98*w**5\/9 + 54462478*w**4\/9 - 7566781337494*w**3\/9 + 11890557466034*w**2\/9 - 1647173346736*w\/3 + 68632161032 = 0.\nAnswer: 2\/7, 1, 277869","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/2130000 and 33\/875.\nAnswer: 14910000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 2*p + 10 = 4*l, 0 = l - 4*p - 10. Let j be (5\/(-40))\/(1\/10). Which is the smallest value? (a) l (b) j (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(147\/(-154)))\/((-71)\/((-39760)\/(-96))).\nAnswer: 55\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -3*u**3 - 16*u**2 - 2*u + 22. Let h(f) = f**3 + 7*f**2 + f + 1. What is 2*h(r) + s(r)?\nAnswer: -r**3 - 2*r**2 + 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0221016cm to meters.\nAnswer: 0.000221016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 143689134 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3006281 and 831.\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 1 + 3 + sqrt(117) - (-1*sqrt(117)*-3 - sqrt(117)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3102804*w = -3102743*w - 8540 for w.\nAnswer: 140","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 44857, 17 in ascending order.\nAnswer: -5, 17, 44857","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(sqrt(90)*1).\nAnswer: sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/5 (b) -0.2 (c) 6.099 (d) -2\/7 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/4)\/(-3)*(-225)\/525?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pttl when four letters picked without replacement from tltptppttpt.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 66 and 88.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3432*l**4 - 426*l**3 - 119700903*l?\nAnswer: 41184*l**2 - 2556*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and 20763846?\nAnswer: 103819230","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**3 + 14*l**4 - 4*l**3 - 13*l**4 + 2*l**3)*(0 - 4*l + 0).\nAnswer: -4*l**5 + 28*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 30 - 20. List the prime factors of 74 - (p + -1 + (-6 - -5)).\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*a*c**2 - 979*a*c - 2*c**3*y**2 - 100*c**3*y - 3*c*y**2 wrt c?\nAnswer: 6*a - 12*c*y**2 - 600*c*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.127 + -5.227. Let p = 1.1 + b. Let y = -0.3 - -1.3. Put 1\/2, y, p in descending order.\nAnswer: y, 1\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/29)*o**(-14)*(o**(-6))**(-3\/5) assuming o is positive.\nAnswer: o**(-1518\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/5, 5, -7\/4, 2, -0.68423, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 3\/1073956?\nAnswer: 3\/1073956","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 267448\/11 <= 24314?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.0016, -0.02, 0.1, 1\/3 in descending order.\nAnswer: 1\/3, 0.1, 0.0016, -0.02, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 96 and 116832?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 164678450 to the power of 1\/3, to the nearest integer?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-6)*y)**(1\/9)\/(y**(-1\/10)*y)**0 assuming y is positive.\nAnswer: y**(-5\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10 + 9 + -32 + 8\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - p + p)*(-12*p**2 + 9*p**2 + 10*p**2) + (4*p + 3*p - 5*p)*(-5 + 5 + p**2).\nAnswer: 16*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -2*n**2 + 3*n. Let p(r) be the first derivative of -3\/2*r**2 + 0*r + 2\/3*r**3 + 5. Determine -3*i(h) - 4*p(h).\nAnswer: -2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 692350 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: Expand (-1 + 1 - f)*(-2*f**3 - 3*f**3 + 9*f**3) + (-4*f**3 + 2*f**3 - 2*f**3)*(-f + 3 - 3) - 2*f**4 + f**4 - 2*f**4.\nAnswer: -3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 94722.29g in tonnes?\nAnswer: 0.09472229","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 93791 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1041773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-1*-2*sqrt(539) + sqrt(539) + -1))**2.\nAnswer: -1512*sqrt(11) + 174672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.013 to one dp.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 434459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 11\/267739?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.037 from -625941.\nAnswer: -625941.037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 101)*(0*i - 2*i + 0*i).\nAnswer: 198*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -3*0.078\nAnswer: -0.234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-17)*w*w**(3\/16)*w)\/(w*w*w*w*w**7)**(-43) assuming w is positive.\nAnswer: w**(7347\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of -4*q**2 + 1\/20*q**5 + 0 + 10*q + 1\/6*q**4 - 2\/3*q**3. Solve c(p) = 0 for p.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 84416855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 662933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.106 - 11.006. Is v < -1\/936?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 6*y + 3. Let j(g) = 6*g**2 - 12. What is j(s(c))?\nAnswer: 216*c**2 + 216*c + 42","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 23 + -34. Let k = -11.1 - h. Let d = k + 0.1003. Round d to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 228 and 18953355.\nAnswer: 75813420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1168?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j + 13*j + 27*j + 175 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11 - 15) + 11 + 1 + -1 - 20.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -18462*c**2. Let a(n) = -10773*n**2. Give a(z(u)).\nAnswer: -3671927968212*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 1 = v, 14*k - 19*k = -3*v + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 14345 to the power of 1\/4, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 420 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 9 - 3. Suppose -c*q + 7600 = -q. Is q\/45 + (-2)\/(-9) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 109 - -141. Let b(k) = -24*k. Let u be b(2). Let y = u + o. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 3*t**2 - 58*t + 5. Let w(l) = -16*l**2 + 289*l - 27. Calculate -11*u(b) - 2*w(b).\nAnswer: -b**2 + 60*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of 4*j**4 + 5*j**3 + j**2 - 17*j. Let d be h(-30). What is d rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the third derivative of -6*g**2 + 0*g - 1\/24*g**4 + 0 + 7\/6*g**3. Let h be -4 + 2 + 9 - 1. Determine o(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83320377 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1520 by 119.\nAnswer: -1520\/119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9679.\nAnswer: 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3489480 and 1163160.\nAnswer: 3489480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2433 - 6340 + 1636 = 210*x + 8229 for x.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 983132124.\nAnswer: 2, 3, 13, 19, 331691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2262487285 and -0.1.\nAnswer: -226248728.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-5) - 4\/(-10). Suppose 4*w - c - 2*c - 35 = 0, 0 = -t*w - 2*c. Let z(m) = 4*m - 1 - 8 - 2*m. Let y(k) = k - 5. Determine w*y(s) - 3*z(s).\nAnswer: -s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 1:14 AM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -2 in increasing order.\nAnswer: -4, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.058 - 0.055. Let v = -1.997 - n. Let x = 0.81 + 0.19. Sort 0.1, 1\/3, v, x in ascending order.\nAnswer: v, 0.1, 1\/3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6057513 - -32?\nAnswer: 6057545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 + 14*i**2 + 41*i - 63. Calculate the lowest common multiple of 39 and l(15).\nAnswer: 4251","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(11)*2*2 + -1 - (3 + sqrt(539) + 2*sqrt(539)))**2.\nAnswer: -19170 - 816*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 606 and 2626?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 4*s + 2. Let n(u) = -2*u - 1. Suppose 4*o - 3*p - 2*p = 65, 0 = 5*p + 5. Suppose 5*f = 2*f + o. Calculate f*n(k) + 3*r(k).\nAnswer: 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 100*o + 220 + 1912 = 32 for o.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 4611, 9271, 13977, 18729, 23527, 28371, 33261?\n\"Answer: 23*p**2 + 4591*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 1 + sqrt(3) - (1*sqrt(12) - sqrt(3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {z: 3, c: 2, v: 7}.\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide (2 + 0 - 4)*(-14874)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 4*o + 180 = 0. Let u = 1 - -2. Suppose -13 = -4*c - 3*a, 4*a + 4 = u*c - 12. Solve -c*j - r = j + 24, -5*r = o for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 12:38 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 2*i + 54, -10*a - 4*i = -9*a - 2. Let t(d) = -d + 13. Let p be t(0). Let x = p - a. Solve h = 2 - x for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3 + 2185\/(-627) - (-6)\/(-33). What is the closest to f in 337, 2\/7, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -381271, -381254, -381237, -381220, -381203, -381186?\nAnswer: -381169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 103*q**2 + 10*q. Let u(s) = -39*s. What is v(u(m))?\nAnswer: 156663*m**2 - 390*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - 2\/(-6)*3. Suppose 5*b - 151 - 4 = d, b + n*d - 10 = 0. What are the prime factors of b?\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 {q: 4, z: 3, h: 1, p: 1, o: 2, v: 1}. Give prob of sequence qq.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30*(-40)\/1000*(-5)\/63*1.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 278384131 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u - 7*u + 20. Let o be ((-8)\/(-30))\/((-6)\/u). What is the third biggest value in o, 1\/8, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/86 and 13\/8.\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -58 (b) -2\/9 (c) -1\/4 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 - -2) + 29 - 0. Suppose q - 5*m = 17, -6 = 2*q + 2*m - 4*m. Let b = q + x. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 266 and 263 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7.04 - -7. Let d = n - -1.04. Which is the closest to d? (a) -2 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 + 5*o**2 + o - 2. Let s be ((-6)\/(-12))\/((-2)\/8). Let y be l(s). Calculate the greatest common divisor of y and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 27381\/10 - 2746. Let l = -91\/6 + -1\/2. Calculate the common denominator of q and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*o + 8*o = 68 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 44\/5 of a microgram?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-73)\/(-5110)*175*(-24)\/(-10).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -221 (b) 4 (c) 16\/11 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*p**4 - 9*p**3 - 915*p**2.\nAnswer: -1512*p - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*-1 + (0 - -11). Suppose -4*m - 3*a + 10 = 0, 0 = m - 2*a + 2 - v. Solve m*h + 6 = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 4, -2, -17.\nAnswer: -17, -2, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -7598, -6878, -5668, -3962, -1754, 962?\n\"Answer: w**3 + 239*w**2 - 4*w - 7834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (207 - 207 + 2*w)*(4*w - 5*w - w).\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001010000111 - -11010110?\nAnswer: 100100001101011101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -578757.1 rounded to the nearest 10000?\nAnswer: -580000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 8.6335333427 and -14.\nAnswer: -5.3664666573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1513 times 1?\nAnswer: -1513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-350)\/125 + (0 - 1\/5).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -0.14, -2, 0.4, -14?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4 + -4 + -1 - 5. Let y be u\/45*-36*-5. Let t = y + 29. Solve 0 = -t*x + x + 8 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 - 13?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the first derivative of -3*d**5\/20 - 3*d**4\/16 + 7*d**3\/4 + 3*d**2\/8 - 9*d\/2 + 461. Find c such that k(c) = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/6, -2, 5, -47 in ascending order.\nAnswer: -47, -2, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 286 - 47. Suppose 4*x = 5*c - j, -4*x + c - 4*c = 215. Let b be ((-13)\/(-2) - 3)*(-32)\/x. Which is smaller: 4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhh. Give prob of sequence hhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - d + 3 = -3*o, -5*d = -3*o - 3. Suppose 3*f - 26 = 2*v, -v + 6 = -5*f + 40. Let t = f + d. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 1:19 PM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5\/2 (b) 0.4 (c) -4 (d) -106223 (e) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 51 = -11*p. Suppose 13*b = p*b + 369. What are the prime factors of b?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -674*k + 734*k - 60 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + (-3 - 0) + 30. Suppose -c - 3*t = -m, -6*c + 48 = -c - 3*t. Solve -6*p - 3*w = -4*p + c, 2*p - 4*w - 2 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5276369 to the nearest integer?\nAnswer: 2297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3492 - 1072038\/307. Let n = h + 5424\/5219. Determine x, given that -4\/17*x**5 - 18\/17*x**4 - 4\/17*x + 0 - n*x**2 - 28\/17*x**3 = 0.\nAnswer: -2, -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 5:26 AM?\nAnswer: 7:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -2*x + 19. Suppose 18 = 2*k - h + 4*h, 0 = 4*k - h - 22. Let n be y(k). Suppose -947 - 425 = -n*i. What is the hundreds digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4164526 is divided by 424.\nAnswer: 422","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + 0.01. Let r = -3770\/3 - -1270. Let w = r - 13. What is the closest to w in 2, -0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 748 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4867*h - 4867*h - 496*h**3)*(6*h + 2 - 2) + 2*h**4 + 2 - 2.\nAnswer: -2974*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (((81\/(-6))\/(-9))\/(30\/40))\/((-234)\/9)?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -5*i + 5*a + 4, 4*i - 3*a = 24. Suppose t = i*t - 6. Solve 0 = p + t*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - 4*l + 126. Suppose -17*x + l*x + 429 = 0. Suppose o - x = -3*f, -3*f - 6*o + 145 = -4*o. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 8 = -0*m. Let w be 2 - 1 - -149 - m. Suppose -d + w - 62 = 0. What is d rounded to the nearest ten?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 times 5303576?\nAnswer: 159107280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 - -4004588?\nAnswer: 4004604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 269 divided by -45?\nAnswer: -269\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2646497 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -104 divided by 12.\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 10 = m, m - 16 = -2*u - m. Let q(f) be the first derivative of -f**3\/3 + 2*f**2 + 4*f - 3. Give q(u).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mpamimppippmmpi. Give prob of picking 1 i and 2 m.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4097575870 a multiple of 746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -1228*-0.5\nAnswer: 614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 1 - 1)*(452*h - 1055276 + 1055278 - 176*h).\nAnswer: -828*h - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178*d**3 + 24*d**2*y + 17*d*y + 2*d + 3138769*y wrt d?\nAnswer: 534*d**2 + 48*d*y + 17*y + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6402943?\nAnswer: 19, 336997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -4 + h**2 + 3 - h**3 - h + 5 - 5. Suppose 0*k + 3*z = -k - 1, 5*k - 2*z + 5 = 0. Give u(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 117823 + -78395. What is the thousands digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwdwwwwezwwegzwww. What is prob of picking 1 g and 1 e?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -11 - -13. Solve -1 = -h*r + 5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of 9*n**4\/4 - 73*n**2\/2 + 33*n - 2. What is the first derivative of w(r) wrt r?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(28)*-1 + 3 + sqrt(112) + -3*((sqrt(567) - sqrt(63))\/sqrt(9))**2*-5.\nAnswer: 2*sqrt(7) + 418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8832.021 millilitres to litres.\nAnswer: 8.832021","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 10, -10, 0.3?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -5*y + 3. Factor -s - s**2 + s + 0*s**y.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -31\/26 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vixvmbvvivie. Give prob of picking 1 i, 1 b, and 1 m.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 4*u + 8. Let h(c) = -3*c**2 + 7*c - 14. Calculate 4*h(p) + 7*l(p).\nAnswer: -5*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38 - (-3 - 8)) + 66?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 w when two letters picked without replacement from {w: 2, b: 1, f: 1, t: 3, h: 3, y: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 84\/30 + (-1)\/(-5). Suppose 6*i - p*i = -3*x + 87, -5*x + 2*i + 124 = 0. Calculate the remainder when 67 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 - 5 + 2*n)*(-52*n - 14*n - 31*n - n) in the form p + z*n + c*n**2 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1611, -3229, -4847, -6465, -8083, -9701?\nAnswer: -11319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_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: In base 8, what is -302247306 - -11?\nAnswer: -302247275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/((j\/((j**(2\/9)\/j)\/j))\/j))**25*(j**(-46)\/j*j)\/j**(-27) assuming j is positive.\nAnswer: j**(-346\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 103402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -151, -140, -127, -112, -95, -76, -55?\n\"Answer: n**2 + 8*n - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545 (base 9) to base 3.\nAnswer: 121112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -303 - 89*q**2 + 303 - 4*q**2 to p*q + a + u*q**2 and give u.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13540)\/(-6093))\/((-2)\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17001980?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvgnoav. Give prob of picking 1 n and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2174, -8878, -20058, -35714, -55846, -80454, -109538?\n\"Answer: -2238*n**2 + 10*n + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**3 + 5*h**2 + 9*h - 5. Let i(y) = y**3 - 2*y**2 - 3*y + 1. Let a be i(2). Let w = a + 11. Does 6 divide x(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4384.771mm to micrometers.\nAnswer: 4384771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/(-2 + 8\/3). Suppose -12 = -j*n, -z + 3*n - 17 + 8 = 0. What is the greatest common divisor of 12 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 16428?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the first derivative of -11*h**2 - 32*h + 7 - 1\/3*h**3. What are the prime factors of d(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9264 and 698274?\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 4*g = 912, -4*n - g + 263 + 652 = 0. What is the hundreds digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86343517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 414 - 407. Solve -16 = -r*t + 11*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(-15)\/6*-1. Let y be ((-65)\/v)\/((-1)\/(-3)). What is the highest common divisor of 143 and y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 0, 3, -51, 5, -126 in descending order.\nAnswer: 5, 3, 0, -2, -51, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 446*25.\nAnswer: 11150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-125)\/(-7) - 992\/(-6944)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of b*f**3 + 3*b*f**2 - 366369*b*f + 3*b - 2*f**3 + 1922208*f**2 + 3*f wrt f?\nAnswer: 6*b*f + 6*b - 12*f + 3844416","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s be -2 - -1 - (-9 - -8). Suppose d + 20 = 5*l, l - 7*d + 3*d + 15 = s. Suppose 0 = 11*i - l*i - 336. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z - 3. Let l(y) = 3*y - 3. Let h be (10 + -6)\/(4\/7). Suppose -7*u + h = -7. Determine u*d(a) - 3*l(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8882 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:24 AM and 7:19 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 + 51. Suppose -4*u = 2*u - 960. Calculate the greatest common factor of u and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + (-1 - (-5 + 3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - 4*w + 4. Let l be s(-5). Are -4\/3 and l unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24894 is divided by 244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -35.3, 13, 4, -2\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -104*s + 102*s + 6 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 18216 to the power of 1\/2, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z + 1. Let s be r(-1). Suppose 3*v - 2*a - 5 = s*a, -3*v + a = -8. Find the second derivative of 3*y - y**5 - v*y + y wrt y.\nAnswer: -20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 536?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 191585254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 387\/(-1935)*(-20)\/(-276)?\nAnswer: -1\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 3213?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 874410.6mg in tonnes?\nAnswer: 0.0008744106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - 0. Let n be ((-21)\/(-14))\/(1\/2). Let i be (((-525)\/(-56))\/15)\/((-1)\/(-8)). What is the closest to q in n, 10, i?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, g: 1, l: 2, e: 1, d: 1}. Give prob of sequence edgl.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3.2 and -0.569965.\nAnswer: -1.823888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/9)*r*r**(-1))**(2\/31) assuming r is positive.\nAnswer: r**(4\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -49. Which is the third smallest value? (a) 6 (b) -3\/2 (c) o (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -231 (base 10) to base 3\nAnswer: -22120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.2 + -1. Let d = q + -6. What is the closest to -4 in 1\/4, d, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*q - 2*q + 4*q)*(-2*q - q + 4*q)*(10*q - 24*q - 2*q) in the form s + l*q + i*q**2 + d*q**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 9892789 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2.154466 + 0.154466. Let m = 141 + -985\/7. Which is the nearest to 0.14? (a) -2\/7 (b) m (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 - 3)*(-23 - 21*w - 30 + 53) in the form l + g*w and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*j - 3, -j + 4*j = u + 1. Suppose -5*f = -u*y + 31, -f - 2*f - 49 = -5*y. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*d - 16 = -20*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 9*r + 5*r + 2*r - 5*r**3.\nAnswer: -5*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -419 - -421. Put l, 0.5, 2\/17 in descending order.\nAnswer: l, 0.5, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -377? (a) -1\/3 (b) -3\/5 (c) -0.036 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1191584*h**3*r**2 + 3*h**3*r - 2*h**3 + 2*h**2 - 60*h*r - 35*r wrt r.\nAnswer: 2383168*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 0*x - 7*x + (0 + 2 - 6)*(-4*x + 3*x + 2*x).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.3 less than or equal to 1448443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -7. Suppose 2*v - 14 = -d, -c*v + 5*v = -5*d + 43. Calculate the highest common divisor of d and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o = 19*o + 192. Calculate the greatest common factor of 48 and o.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**2 - h - 1. Let r be (4 - 0 - 3)\/(-1). Let w(u) be the third derivative of u**5\/30 + u**4\/24 + u**3\/2 + 17*u**2. Determine r*w(b) - 3*o(b).\nAnswer: b**2 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 179\/45 + -95\/18. What is the common denominator of -31\/11806 and g?\nAnswer: 59030","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 109031 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tgionbi. What is prob of picking 1 t and 1 g?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 416 is divided by 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2231, 2\/7, 20 in ascending order.\nAnswer: 2\/7, 20, 2231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/84*(-36)\/(-80)*(-10)\/(-3)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 8 - 3. Let s be (-2)\/(j + -2 + 3). Which is smaller: s or -2\/19?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7040 + -7033. Let s(y) = y**3 - 7*y**2 + 5*y - 18. Calculate s(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 84*u + 244*u**4 - 79*u**4 - 82*u**4 + 232*u - 81*u**4 - 7*u**3 to o*u**4 + c + k*u**3 + z*u + r*u**2 and give z.\nAnswer: 316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 53606 divided by -114\nAnswer: -26803\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2074922 a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 - 8*t + 7. Let k be f(-9). Let p be (14\/6 - 0) + k. Factor 0*h - 1\/3*h**3 + 0 + p*h**2.\nAnswer: -h**2*(h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 46 = -3*j, -4*j + 2*i = -50 - 12 for j.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 68 - 65. Suppose 13 = 4*g - c*l, 0 = -4*g - 2*l + 6*l + 12. Is 17\/5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n - 6*n - n**2 + 4 + 1. Let v = -69 - -61. Let t be (8\/10)\/(-1 - v\/10). Give f(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*(-3)\/(-2)*(42076\/(-268))\/3611.\nAnswer: 6\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t**2 - 1. Let u be (-58)\/(-493) + 172\/(-17). Let o(l) = -6*l**2 + 5. Determine u*m(v) - 2*o(v).\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 5 - 29. Let p = 5 + t. List the prime factors of p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27679 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 1200 = 3*s, s + 2*q - 400 = 7*q. What is the hundreds digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by -387\nAnswer: 1\/387","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/4 - 49\/4. Let s be (-3)\/12 - 3\/w. Suppose 0 = 3*f - s*f - 39. List the prime factors of f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 554.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2099 by 144.\nAnswer: -2099\/144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1\/(2\/4*1). Let o = -11 - -15. Suppose -o*q + 5 = -3. Are q and l non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 + 11*f + 1. Let j be h(0). What is the nearest to j in 0, -5, -101?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 13) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 16*a. Let d be p(6). Let s(b) = -b**2 + 21*b - 3. Let z be s(23). Let o = z + d. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 + 14*a**2 + 2480*a - 36963. Give x(15).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) -31 (c) -65 (d) -359 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4162367 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*o = -22 - 66 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 6*s**2 - 3*s - 5. Let m be u(5). Suppose 0*i - 30 = -m*i. Suppose n = 5*n + 2*b - 16, 0 = -4*n + 3*b + i. Solve n*o - 5 = 10 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 2 - 6 - 0 - 9.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 1716204264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 183960 and 8554140?\nAnswer: 17108280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9, -3\/4, -0.4, 454, 0.4 in decreasing order.\nAnswer: 454, 9, 1, 0.4, -0.4, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2 + 0)\/(2 + -4). Let b = 13 + i. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 50 = 3*f + 4*q, -f - 5*q = 10. Let o(y) = 2*y**2 + 3*y + 3. Let b(x) = -3*x**2 - 5*x - 5. Calculate f*o(g) - 6*b(g).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.580742 to 1 decimal place.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3.724*-102\nAnswer: -379.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-25)\/(-10) + -3)*0. Suppose x = -k + 2*k - 3. Suppose -5*j - k*j = -24. Solve 0 = -r + j - 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(5) + sqrt(35)\/sqrt(112) - (sqrt(10) - sqrt(10)*-1)\/sqrt(2).\nAnswer: -3*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 9915.253886925 from 0.\nAnswer: -9915.253886925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*k = 3*u - 11, 2*k = -1259*u + 1263*u + 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -125 - -101235?\nAnswer: 101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33\/((-3828)\/3952) - 13\/(1131\/(-6)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11110121 (base 3) to base 15.\nAnswer: -e71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**4 - r**2 + 2*r. Let k(w) = -6*w**4 + 6*w**3 + 33*w**2 - 18*w - 96. Let i(a) = 3*f(a) - k(a). Suppose i(t) = 0. What is t?\nAnswer: -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2445*-0.8\nAnswer: -0.1956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n + 2*n - n - 2 + 4*n.\nAnswer: 6*n - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3*b + 2*o = -1, 0 = 5*o - 10. Suppose -2*v - 18 = -8*v. Put v, b, 4 in ascending order.\nAnswer: b, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2165 - 264065?\nAnswer: -266263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13635138 and 4818.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.267773 millilitres?\nAnswer: 0.006267773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 + 2*p**2 - 3*p + 1. Let v be w(1). Let n be v*(1 + 0*(-2)\/(-4)). Solve -m = -2*m - 1, -n*t - 5 = m for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**7\/840 - f**6\/90 + f**5\/24 - f**4\/6 - f**3\/2 - 26*f. Let s(c) be the second derivative of d(c). Determine s(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -7469*h**3 - h - 6. Let g be y(-3). Let j be 36\/(-4)*2518 + 2. Let p = g + j. What is p rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes after 11:46 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 175368 to the power of 1\/2, to the nearest integer?\nAnswer: 419","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/20)*d)\/d*d\/(d\/(d\/(d*d**(-7\/2)*d*d))))\/(d**(-6))**24 assuming d is positive.\nAnswer: d**(2931\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 9*a**2 + 1123*a - 268. What is w(-125)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3357430594 a multiple of 3371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 8*z**2 - 12*z + 1. Let v be d(9). Let t = v + 28. Let i(q) = 44*q**t - 23*q**2 - 22*q**2. Let y(p) = 3*p**2. Calculate i(y(s)).\nAnswer: -9*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00103393 rounded to five dps?\nAnswer: -0.00103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mab when three letters picked without replacement from {f: 1, a: 5, b: 1, z: 8, m: 2}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 249*a**3 - 73*a**3 - 38*a**2 + 38*a**2.\nAnswer: 176*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-2) + (0 - -3). Let l(n) = 4*n**2 + 2*n - 2*n - v*n**2. Let q(s) = s**2 - 3 + 3. Determine l(q(b)).\nAnswer: -b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 8*k + 378 = 0. Suppose 2*s = -3*d + k, 2*s - 7*d - 158 = -2*d. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -15*(-3 - -1 - -1)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 278584659?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j + 256. Let g = -70 - j. Suppose -2*s - 70 = -4*l, 5*l - 52 = -2*s + g. Solve -3*w - l = w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5*t**2 - 58*t**2 - 2 + 43*t**2 + 4.\nAnswer: -10*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 4*l. Suppose 4*b + 4 = -8. Let u = b + 12. Solve -11 = 5*p + g, l*g - u = 5*p - g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide (164 - 0)*1\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the third derivative of 16*o**7\/105 - o**4\/24 + 11*o**3\/6 - 25*o**2 + 2. What is the second derivative of n(r) wrt r?\nAnswer: 384*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -5*a + 24 + 21, 0 = 3*a - 4*n + 50 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1.417554 weeks?\nAnswer: 14288.94432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 129038.5381 to the nearest 100.\nAnswer: 129000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 m, and 1 o when four letters picked without replacement from {s: 3, c: 1, m: 2, t: 2, o: 1, k: 6}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 358084*r - 2*r**4 - r**4 + 22*r**3 + r**2 + 2 + r**2 - r**2 - 358082*r as z*r**3 + w*r**4 + o*r + g + h*r**2 and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*v - 783 = v. What is the tens digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 320698020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 7 - 1. Suppose y*n - 3*n = -1. Let c = 0.11 - 0.61. What is the nearest to n in -3\/5, c, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -74*u**2*w**3 - u**2*w**2 - 59*u*w + 2*w**2 wrt w.\nAnswer: -444*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes after 3:52 AM?\nAnswer: 1:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 18*j = -95. Let a = 0.1 + 0.1. Let y = a + 0.3. What is the nearest to 0.1 in y, j, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 5*n = 3285, 0*n = n + 2. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/b**(-32)*b*b\/(b\/b**(-2\/65)))\/(((b**(-10)*b)\/b)\/(b**(-32)\/b)) assuming b is positive.\nAnswer: b**(713\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-2)*(7 - -3)*11. Suppose 35*n = 30*n + h. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -34613*t - 346053. Give d(-10).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*a**3 - 11*a**2 + 4*a - 42?\nAnswer: 54*a - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1079.\nAnswer: 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8827175, 8827174, 8827169, 8827160?\n\"Answer: -2*o**2 + 5*o + 8827172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 - 7*g**2 - 6*g + 1. Let z be u(-6). Which is the smallest value? (a) 0.2 (b) z (c) -15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/2 - -1 - (-4 + -579)?\nAnswer: 11, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 6:03 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 36136 to the power of 1\/2, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -6, -401\/220, -2\/5 in decreasing order.\nAnswer: -2\/5, -401\/220, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 5*k + 3. Determine t(9).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*u**3 + 4264160*u**2 - 909148761105*u - 1818314578890.\nAnswer: -5*(u - 426417)**2*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -485, -1117, -1921, -2891, -4021, -5305?\n\"Answer: t**3 - 92*t**2 - 363*t - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18713 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k - 151 - 12 + 163.\nAnswer: -20*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -4*v - 3. Let a(y) = -9*y - 7. Let o(p) = -3*a(p) + 7*x(p). Let r(d) = -6*d + 6*d**2 + 6*d. Give o(r(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a hour in seconds?\nAnswer: 2250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*b - 147 = 15*b. Let q = -29 + b. Is 5 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -140.1 + 148. Let q = -50.6 + 55. Let a = q - t. Round a to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3033123?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 - 5*y + 11. Let q(v) = -v**2 + 3*v - 7. Let m = 50 - 40. Let l be 12\/m*(400\/(-15))\/(-4). Give l*q(w) + 5*d(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1822.3788 and 0.2.\nAnswer: -364.47576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 + 143c1?\nAnswer: 143c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9738 (base 10) to base 3\nAnswer: -111100200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-14)*(-7)\/3\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.18 in -1, 0, -0.1, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -3789, -7279, -10775, -14277, -17785?\n\"Answer: -3*j**2 - 3481*j - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from {g: 2, r: 1, o: 6, b: 9, h: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (((-28)\/8)\/7)\/((-5)\/(-60))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ljggngzzzzjl?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 11:04 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 3 - 32*c - 17.\nAnswer: -32*c + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.85, 0.2, 3, 1\/2, 8.3 in decreasing order.\nAnswer: 8.3, 3, 1\/2, 0.2, -0.85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 1 + 11 = 0. Let o be (0 - -1)\/(3\/261). Is t\/(-3)*o\/2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 11*f**2 - 1. Let h be x(-1). Suppose 4*r = 2*r + h. Calculate the smallest common multiple of (-2)\/r + (-124)\/(-10) and 22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5011644 - -5011645.37803172. Let o = 1.378 - q. What is o rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 7, m: 1, e: 5, d: 1}. What is prob of sequence dem?\nAnswer: 5\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -410*(-5)\/60 - 1\/6. Suppose 0 = -d*y + 28*y + 210. Solve -m - 15 = -4*r, 3*m - y = -4*r - 0*m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 12*d + 1099, 5*s + 3*d - 1757 = 3567. Which is smaller: 1065 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 2, 5, 3, 0 in ascending order.\nAnswer: 0, 2, 3, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 141809287 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 33.07 - 33. Let x = f + 0.33. What is the third smallest value in 1\/2, x, -3\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118594271 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((19\/((-380)\/(-30)))\/(306\/48))\/10?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*s. Suppose -3*h + 5*d - 3 = 1, 16 = -5*h - d. Suppose -4*z + 4 = 0, -c - 4*z = 315 - 323. Sort h, s, 3, c in descending order.\nAnswer: c, 3, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137542447 is divided by 19648921.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*-6*-7*(-11)\/154.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/(-2)*12\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -13862.2 and 2.411.\nAnswer: -33421.7642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z - 378 = 0, 3513 - 3340 = 2*x - 3*x - 4*z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 3*v - 5. Let p = -2297 + 2302. Solve -2*s + v = -4*j + 10, 4*j = -p*s + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**3\/7 + 9*y**2\/7 + 264*y\/7 - 540\/7.\nAnswer: -3*(y - 10)*(y - 2)*(y + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 - 965383728.\nAnswer: -965383710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 + 1\/(-2))*24. Let s be 3\/(-12) - (-87)\/c. Let f = s + -2. Solve 5 = -f*q - 5 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(10\/12)*(2698\/(-1140))\/(-71)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + c - 5. Let b be w(4). Let q(a) = 2*a**2 + 14 - b + 1. Let r(g) = -5*g. Determine r(q(s)).\nAnswer: -10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 3*z = -17, -5*o - 5*z = 9 - 34 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20451, 40962, 61441, 81888?\n\"Answer: -16*p**2 + 20559*p - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24.7 + -29. Let a = h + 4. Let l = 3077\/5 - 616. What is the biggest value in l, a, -2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221970 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -30, -55, -82, -111, -142, -175?\nAnswer: -210","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 1132*f**2 - 1030*f - 116904. Give i(1133).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -3, -1\/6, 4, 2\/19?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/12 and -79\/372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 2*x**3 + 190*x**2 + 147*x + 246. Determine i(-94).\nAnswer: 4100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-v - 2 + 2)*(3 - 3 + 4) + (-2*v + 4*v - v)*(-3 + 2 - 18) to the form d + q*v and give q.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -463*w + 4819 = 515*w - 2384 - 1599 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3920 - 1739. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4591868 and 7232?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -101*g + 8. Is 35 a factor of m(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79208 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/(4\/5))\/((-135)\/(-162)). What is the biggest value in 16, t, -2\/7?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) + -2*sqrt(171))\/sqrt(3))\/((2*sqrt(21) - sqrt(21))\/sqrt(7)) - ((-1*sqrt(627))\/sqrt(11))\/(sqrt(75)*6).\nAnswer: -29*sqrt(19)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*m + 102*m - 34*m - 9*m - 72390476 + 72390474.\nAnswer: 154*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -71 - -ccbd8d?\nAnswer: ccbd1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 360 and 240?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/6)\/((-2)\/(-18)). Suppose 9 = 5*c - 3*l, l - 6*l - 15 = f*c. What is the second derivative of 2*w - 2*w**5 + 0 + c wrt w?\nAnswer: -40*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y - 735 + 790 = -4*z, -3*y - 33 = -z for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45355131093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(147) - sqrt(147) - sqrt(147))*5*-1*-4.\nAnswer: -140*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3652464980?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 29.60508 grams?\nAnswer: 0.02960508","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.254 + 1.254. Let p be 4\/8 + 0 - -1. Which is the third smallest value? (a) -2\/13 (b) p (c) -3 (d) v\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.86 - 0.14. Which is the biggest value? (a) 0 (b) o (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-168 - 23*b + 168)*(0*b**2 - 5*b**2 + 3*b**2).\nAnswer: 46*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1353546 + 2567430. Suppose 2*q + 386108 = -4*f - t, 5*q - 800020 = 2*f. What is f rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 divided by -4\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2028)\/273)\/(2 - 66\/21).\nAnswer: 13\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 125827 a multiple of 437?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -61*z - 60*z + 184*z - 62*z. Let f(g) = 3*g + 8. What is f(r(j))?\nAnswer: 3*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 342.44208ns in days?\nAnswer: 0.00000000000396345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1a7c + 0?\nAnswer: 1a7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 178259714?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12278\/9 + 1598. Suppose s + 702 = 4*s. Let x = l - s. Which is the smallest value? (a) 5 (b) x (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 40*q**2 + 76*q + 16. Calculate the lowest common multiple of c(38) and 29.\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 18.665864 to 0 decimal places.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -123*h - 5320 = -137*h. Calculate the remainder when h is divided by (-127)\/(-2) - 1\/(-2).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = f**3 + 3*f**2 - 4*f. Let o be h(-3). Let u = -4 + o. Find the second derivative of 2*c + 6*c + u*c**3 - 2*c wrt c.\nAnswer: 48*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 8, 56, 142, 272, 452?\n\"Answer: o**3 + 13*o**2 + 2*o - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -185*b**3 + b**2 + 4*b + 13. Let g(k) = -3*k**3 - k**2 - k - 1. Let v(i) = -4*g(i) - n(i). What is the third derivative of v(m) wrt m?\nAnswer: 1182","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 4 + 1 + 1 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4\/9 + 213248*x**3\/3 - 3198770*x**2\/9.\nAnswer: 2*x**2*(x - 5)*(x + 319877)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7912 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2658899.\nAnswer: 2658899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1365621 is divided by 1514.\nAnswer: 1507","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 508\/3048*(9\/(9\/(-2)))\/3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -34, 94, -299.\nAnswer: -299, -34, -5, -2, 94","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 20. Solve -3 - 2 = -v*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 28*d**2 + 14*d - 9. Let s(n) = 42*n**2 + 21*n - 13. Let f(i) = -5*s(i) + 7*w(i). Let v(q) be the first derivative of f(q). Is v(-5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/12 + (-810)\/552)*(-756)\/(-630).\nAnswer: -6\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2. Let b be j(0). Let i(o) = o**2 + o - 1. Calculate i(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70581585 and 117635975.\nAnswer: 352907925","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12006c78 - -4?\nAnswer: -12006c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1\/823 + -117209\/395040. Calculate the common denominator of 19\/20 and d.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-150)\/40)\/(11\/(-220)). Calculate the highest common factor of 4 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 5*x - 4 + (0 + 0 + 2)*(-2*x - 1 + 1))*(-18*x**2 + 12*x**2 - 79*x**2).\nAnswer: -85*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.86755364 rounded to 2 decimal places?\nAnswer: -1.87","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1276*r + 9 - 1276*r - r**2. Let b be k(0). Calculate the highest common divisor of b and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -15*s**2 - 120*s + 1. Calculate n(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 256498046?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o = 2*i - 8, -106*i - 3*o + 16 = -102*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x + 8. Suppose 0 = -7*a + 178 - 255. Let b(h) = -6*h + 41. Calculate a*p(s) + 2*b(s).\nAnswer: -s - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4085 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 174*z - 497 wrt z?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 58030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/4)\/1*(-3)\/(-6).\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 8*w**2 - 10*w + 8. Determine c(-9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 + -2 - (-45 - -55)) + 9 - 16.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*sqrt(1216) + sqrt(1216).\nAnswer: 3 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15\/(-18)*2\/5*1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5946*j**2*x**3 - 59*j**2*x**2 - j**2*x*y + 3*j*k*x**2*y - 14*j*k*y + 889*k*x**3*y - 48*k*x**2*y wrt x.\nAnswer: 35676*j**2 + 5334*k*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1101010010 (base 2) to base 16\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 151965?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00023563658 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**3 + 8*z**2 + 88*z - 41. What is q(15)?\nAnswer: -296","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 154 + 82 = 0. Suppose j = -t - 219. Is t\/(-8) + (-1)\/(-4) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*sqrt(12)\/(1*sqrt(4)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 68304203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 - 20 = 2*h. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/16*(-3744)\/(-16).\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35053 bigger than -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 4*v**3 + 14*v**2 + 2*v - 171. Let h(s) = -12*s**3 - 49*s**2 - 6*s + 514. Determine 2*h(t) + 7*u(t).\nAnswer: 4*t**3 + 2*t - 169","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6057, -4797, -2687, 279, 4107?\nAnswer: 8803","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-94)\/136*8\/12. Let n be 4*6\/16*(-8)\/(-306). Let x = n - v. Are x and -1\/13 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 68 - 182. Suppose 2*q - 5*i = 135, q + 5*i - 10 - o = 0. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -158*a**2*q**3*t + 42*a**2*t + 9*a*q**3*t - 93*a*q*t + 3*a*t wrt a?\nAnswer: -316*q**3*t + 84*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2149620 divided by -11.\nAnswer: 195420","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 9*d**2 - 8*d + 6. What is y(8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-14)\/3)\/(1\/(-6)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2075 = 5*h, -3*h + 6*f = 3*f - 1218. Let l = h + -96. Is l a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.5. Let f = 9 - 7. Suppose -4*z + 5*x = -16, f*z - 18 = -0*z + 5*x. Which is the closest to z? (a) -1\/8 (b) -2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32898 is divided by 555?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, 0, 4, 65, -26.\nAnswer: -57, -26, 0, 4, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (161\/42)\/(-23) + (-859)\/(-6). Let t = -133 + x. What is the highest common divisor of 6 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 315037, 315023, 314987, 314929, 314849, 314747, 314623?\n\"Answer: -11*d**2 + 19*d + 315029","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -266 - -143. Let s = q + 122.988. Let f = 0.0191 + s. Round f to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*a**4*h**3 - 159*a**4 + 7*a**2*h**2 - 2*h**3 - 7*h - 63 wrt a.\nAnswer: -72*a*h**3 - 3816*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {p: 5, o: 5}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - -1) + 4\/1. Suppose -3*m = 4*u - 52, d*u - 4*m - 24 = -0*u. Let r be (-4)\/(-3)*3 - 0. Solve r*q - 3*q = -4*w - 12, 3*w = -q - u for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1952041*k**3*z**2 + 6*k**2*z**2 - 25*k**2*z + 10*k**2 + 2*k*z**2 - 3*z wrt k.\nAnswer: -11712246*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 199 - -287?\nAnswer: 486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of -1\/90*y**6 - 8*y + 0*y**2 + 0 + 1\/60*y**5 + 1\/18*y**4 + 0*y**3. Suppose i(f) = 0. Calculate f.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -952 + 1017. Solve -80 = -5*t - p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 10944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -5*n + 5, 0 - 2 = 2*n - 2*d. Let x(t) = 1. Let h(a) = -4*a + 4. What is n*x(b) - h(b)?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -856 * 0.014.\nAnswer: -11.984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 + 21 + 7*a**2.\nAnswer: 7*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 457 - 16651?\nAnswer: -161a5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -184476?\nAnswer: -36895.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = h + 4*f - 14, 0 = -4*h + 5*f - 12. Solve 6 + 118*r**h - 162*r + 26 + 34*r**2 - 36*r**3 - 14*r = 0 for r.\nAnswer: 2\/9, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -650*m - 2183 + 7287 = -331*m for m.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 11*u**4 - 264*u**3 - 872*u**2 + 3*u - 4. Let t(v) = -v**4 - v + 2. Let y(q) = -j(q) - 2*t(q). What is the third derivative of y(w) wrt w?\nAnswer: -216*w + 1584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3484.\nAnswer: 2, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - (-49 + 89 - 26).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -v**3 + 18*v**4 - 13*v**4 + 10*v**3 - 4*v + 8*v**3 + 3*v to p*v**3 + l + d*v**2 + j*v + g*v**4 and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 583670 != 583662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20068944 and 2508618.\nAnswer: 20068944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 18*v**2 - 50*v + 56. Give l(-13).\nAnswer: -139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 1025?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 58 - -3136?\nAnswer: 3194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010 + 100110?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -962529\/175 + 38502\/7. Let g(n) be the first derivative of 3\/5*n + 3\/10*n**2 + l*n**5 + 1\/10*n**6 - 32 - 2\/5*n**3 - 3\/10*n**4. Solve g(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18992567, 37985136, 56977705, 75970274, 94962843, 113955412?\nAnswer: 132947981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 10*j + 36. Suppose 0 = -3*v + 47 + 100. Suppose 2*l + 41 = 3*a - v, 150 = 5*a - 5*l. Calculate the highest common divisor of j and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tkutjjuuuujutw. What is prob of sequence utwk?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -3 - 2*w + w - 1. Let g(o) = -1 + 1 + o + 2 + 3. What is -4*g(m) - 5*h(m)?\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 - -3. Solve -10 = j + 4*m - 2*m, c*m = j - 11 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 173854, 347712, 521570, 695428, 869286, 1043144?\n\"Answer: 173858*m - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4 + 4095\/7 + 3\/3. Let j = a + -350. Is 27 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m + 3*m - 3*m + 5 - 5 + 3*m + (-3*m + 5*m + 0*m)*(-2 - 2 + 2) + 3 - 3*m - 3.\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 924692 and 19228.\nAnswer: 1748","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11090 is divided by 1210.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -15, 2, 0.028, 4, 40?\nAnswer: 0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 198440*p**4 - 250609*p.\nAnswer: 2381280*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000005972 rounded to seven decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i**3 + 13*i**2 + 8*i - 7. Let o be a(7). Solve o = -5*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f*f**(1\/3)))**21)**49*((f**(-1\/6)*f)\/f**(3\/7))**(26\/9) assuming f is positive.\nAnswer: f**(-259087\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 416 = -3*z + 5*c, 3*z + 2*c - 4*c + 431 = 0. Round z to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 133370*c*i**5*j - 48*c*i**3*j**2 - 32*c*i**2*j**2 + 13*c*i*j**2 + 19*c*i*j + 2*i**2*j**2 - 2*i**2*j wrt i?\nAnswer: 8002200*c*i**2*j - 288*c*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) -236 (c) -18 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 34\/(-187) - -237*(-7)\/(-231) and 1245.\nAnswer: 8715","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2. Let j(o) = 145*o + 4 - 101*o + 46*o - 2 + 0. Determine g(j(v)).\nAnswer: -8100*v**2 - 360*v - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13516 is divided by 1158?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 - 52?\nAnswer: -51.967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/8 + (-450)\/(-40). Let d(f) = -f**3 - 5*f**2 + 8*f + 6. Let h be d(-6). Let j = h + a. Solve -j = -4*k + 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88017880?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*(sqrt(325)*2 + -2) + sqrt(325) + -2*sqrt(325) + sqrt(325) + -4 + (-1*(-1 + sqrt(325)) - sqrt(325)))**2.\nAnswer: -4140*sqrt(13) + 105829","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 880*m**2 + 5*m + 16*m + 18*m + 879*m**2 - 39*m - 1760*m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11103825 + 32*r**3 + 5551912 + 5551913.\nAnswer: 32*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 54 + -34. Suppose 0 = -4*y - y + v. Suppose 3*i - 16 = 7*i, y = -4*o - 4*i. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -977*-259.\nAnswer: 253043","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*o**5 + 74407*o**4 - 777270*o**2.\nAnswer: -240*o**2 + 1785768*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -58668 - -94037. What is the greatest common factor of 313 and y?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/21 - 155\/35 - (5 + -3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 9 = -6*z. Let d = 11 - z. Solve -d*k = -k - 3*y + 19, 2*k + 2*y - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -m**2 + 543*m - 3754. What is b(536)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - k**2 + 3*k - 258. Let u be a(0). Let v = 262 + u. Solve -n + 2*h - 13 = 0, 3*h = -v*n + 2*h - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1469920*h**2*j**2 - h**2*j - 39*h*j**2 - 8*h + 526*j wrt h.\nAnswer: 2939840*j**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 2 and 8272.\nAnswer: 8274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.802740749 rounded to four dps?\nAnswer: 3.8027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -559980000 = -466*j + 449*j. What is j rounded to the nearest 100000?\nAnswer: 32900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = w - 9. Let t(n) = 3*n - 23. Let z(i) = -i. Let j(v) = -t(v) - 5*z(v). List the prime factors of j(w).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*n = -45*n + 7396 - 571 for n.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/(a*a\/a**(-5))*a*a\/a**3*(a*a**0*a*a)**24)\/((a\/(a*(a*a*a\/(a**(-5)\/a*a*a)*a)\/a))\/a**2*((a**0\/a)\/a)**20) assuming a is positive.\nAnswer: a**114","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -7*y**2 - 3*y. Let t(h) = 5*h**2 + 2*h. Let r(b) = 3*t(b) + 2*u(b). Let k(w) = -w - 20*w - 17*w. Give k(r(q)).\nAnswer: -38*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/5)*k**(-4\/9))**3)**(-21))**(-5\/7) assuming k is positive.\nAnswer: k**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -m**3 - 3*m**2 - 3. Let t = 7 - 10. Let p be f(t). Let o be ((-10)\/p)\/((-4)\/(-6)). Solve -w - 3 = -3*b, -o*w = -2*w - 3*b - 3 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15304 (base 7) to base 5.\nAnswer: 114032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -9 (c) -0.8 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*w - 21*w**3 + 7*w**3 + 4*w)*(-3 + 3 - 2*w) in the form m*w**2 + c + n*w + g*w**3 + f*w**4 and give f.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7*u**3 + 3*u**2 + 588 with respect to u.\nAnswer: -21*u**2 + 6*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-21)\/(-6) - 3). Let r(p) be the first derivative of 0*p**3 - 1\/5*p**5 - 2 + 0*p**u - 2*p + 0*p**4. What is the derivative of r(h) wrt h?\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -3\/10, -0.12046 in ascending order.\nAnswer: -6, -3\/10, -0.12046","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/8)\/1*2\/(-7)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3070.4 - 3070. What is the closest to -1 in u, -2\/17, 1\/4, 0.2?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5*v - 4. Let l be x(-2). Solve -5*j - u - 8 - 1 = 0, 0 = 4*j + 2*u + l for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q**(-5\/6))**28\/((q*q**1*q)**(-5\/8)*(q**(-1)\/q)**(-44)) assuming q is positive.\nAnswer: q**(2525\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 3*f**2 - 12*f. Let l(g) = -4*g**2. Determine l(t(q)).\nAnswer: -36*q**4 + 288*q**3 - 576*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 + 53. Let r = j + -50. What is the nearest to 0.13 in r, -0.4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -19531 greater than or equal to -19530?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1549164 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**3 + l**2 - l - 2. Let z be r(-2). Let g = -2 + 2.5. Which is the nearest to g? (a) z (b) -3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.1 and -0.65.\nAnswer: -1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the first derivative of -s**7\/420 + s**6\/60 - s**5\/20 + s**4\/12 - s**3\/12 + 10*s**2 + 10. Let v(u) be the second derivative of p(u). Factor v(l).\nAnswer: -(l - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/42 + 43\/1148. Let s = -3\/41 + p. Let x = 5\/12 + 1\/12. What is the third smallest value in x, s, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 + -16.44. Let f = -0.55999913 + r. What is f rounded to 7 decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*w**3 - 8023820*w**2 + 88261536*w = 0. Calculate w.\nAnswer: 0, 11, 2005944","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together -377979 and 24710.\nAnswer: -353269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7818049?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 92132508 to the power of 1\/2, to the nearest integer?\nAnswer: 9599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -4311325 (base 8) to base 16\nAnswer: -1192d5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/56)\/(13\/(-65) - 44\/(-120)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3 - 27818266.\nAnswer: -27818265.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-41*r - 13*r**2 + 41*r)*(0 + 0 + 2*r) in the form d*r**2 + c + q*r + a*r**3 and give a.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 3*j - 10, -4*n = 308*j - 305*j + 35 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + 41 + 6*d**3 - 15*d**2 - 71 + 30 to the form t*d**2 + n + s*d**3 + v*d and give t.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = -8. Suppose 4*j - 30 = -2*m, j + 2 = 3*m + 6. Calculate the least common multiple of -3*(-1)\/6*120\/a and j.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11882036093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 330 + -353. Let j = 37 + m. Calculate the remainder when 223 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 21, 49, 81, 117, 157, 201, 249?\n\"Answer: 2*p**2 + 22*p - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the second derivative of p**4\/24 - 2*p**3\/3 + p**2\/2 + 3*p. Let u(o) be the first derivative of r(o). Differentiate u(a) wrt a.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -84*f + 9. Suppose 0 = 2*a - 5*y - 35, -12*a - 4*y = -10*a - 26. Let m(i) = -i - 1. Let c(n) = a*m(n) - b(n). What is the derivative of c(q) wrt q?\nAnswer: 69","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by -25464173.\nAnswer: 1\/25464173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1481247661 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**3 - 14*y**2 + 2*y - 28. Let a be c(14). Let s = -1 - -4. Solve 3*i - f = -s, 2*i + f - 3 = -a*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/608 and 43\/1990720?\nAnswer: 37823680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -9c2 (base 14) in base 3?\nAnswer: -2122122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 bigger than 1192584?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.014 (b) -227\/4 (c) -2\/5 (d) 2\/9 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -1795053*k + 1574. Is t(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r. Let w = 3757 + -3754. Let a(x) be the second derivative of 0*x**w - x + 73\/12*x**4 + 0 + 0*x**2. Calculate v(a(u)).\nAnswer: 146*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - 151?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 389*b**2 + 1436*b - 11. Calculate f(-4).\nAnswer: 469","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the first derivative of -4*z**6\/3 - 114*z**5\/5 - 155*z**4\/2 + 100*z**3 - 2400. Determine g so that r(g) = 0.\nAnswer: -10, -5, 0, 3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**(1\/58)*m\/(m*m*m\/(m**33\/m)*m) assuming m is positive.\nAnswer: m**(1739\/58)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 509761 from 70921342.\nAnswer: 70411581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1221.106m?\nAnswer: 1.221106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -42 - -62. Let a be (-1)\/3 + 1082\/6. Calculate the highest common divisor of a and w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-36)*(-6 + 2). Which is smaller: y or 0?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 7) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*r + 3*u + 50 - 41, -2*r = 3*u - 11 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -91.906 + 92. Let y = b + -0.0939951. What is y rounded to 6 dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -8*s - 4. Let j(c) = -13*c**2. Calculate j(o(z)).\nAnswer: -832*z**2 - 832*z - 208","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 10617?\nAnswer: 116787","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 342, 1649, 3828, 6879, 10802, 15597?\n\"Answer: 436*u**2 - u - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 - 11*c**2 + 35*c + 74. Does 81 divide k(13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z + 7539*q - 7541*q + 15, 96 = 16*q for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 117\/(-13)*1\/(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 * -0.037\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 29*d - 26. Let z(b) = 30*b - 25. Let o(q) = 6*l(q) - 7*z(q). What is the hundreds digit of o(-20)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2875709 - 7*p**2 - 2875709.\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 759276 divided by -966.\nAnswer: -786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1951*m**2 + 17*m**3 - 9 + 1951*m**2 + 40*m.\nAnswer: 17*m**3 + 40*m - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*6*sqrt(95))\/sqrt(5) + 4 + 2)*3.\nAnswer: 18 + 108*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) -5\/2 (c) -1.44\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000536 to five dps.\nAnswer: -0.00054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 384091818?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -5, h - 154 = -2*h + 2*l. Suppose 14*m = 9*m + 2*g - 18, -4*g = -m. What is the remainder when h is divided by (-81)\/(-6) + 2\/m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0104391585 to 6 dps.\nAnswer: -0.010439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 170116068371 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/(sqrt(12)*6 - sqrt(3)) + -2.\nAnswer: -2 + sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62398382?\nAnswer: 2, 31199191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*u + 4 + 2, 5*b - 5*u = -15. Let m(s) = -s**2 - 2*s + 3. Let q be m(3). Let f = -17 - q. Which is bigger: b or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10? (a) 0 (b) -0.4 (c) -2 (d) -31\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 17752.518 seconds?\nAnswer: 295.8753","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 6*o**2 - 2*o - 9. Let w be s(-6). Suppose 0 = -w*m + 19 + 2. What is the remainder when 26 is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*g**5 + 88*g**4 + 7*g - 58.\nAnswer: -80*g**3 + 1056*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 4*a**3 + 5*a**2 + 75*a - 13. Let i(g) = 2*g**3 + 2*g**2 + 39*g - 5. Calculate 5*i(d) - 2*u(d).\nAnswer: 2*d**3 + 45*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-16)\/(-6)*9*(-3)\/(-18). Let r(o) = o + 8. Let y be r(-9). Sort m, 0, y, -7 in ascending order.\nAnswer: -7, y, 0, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -44 - -115. Suppose 5*p + 84 = -91. Let r = g + p. 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: What comes next: -743, -747, -755, -767?\nAnswer: -783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 1306?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 133586445?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*12\/(-774)*-6*(-2)\/(-72)*-3?\nAnswer: -2\/129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 3*u - 126 = 0, -3*q - 5*u = 27 - 143. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4153303 + -2?\nAnswer: 4153301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -0.067 (b) -4 (c) 43 (d) 3 (e) 6 (f) -2 (g) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 9*h + 3*h - 5*h)*(-5*h + 19 - 19) + (3*h - 2*h - 2*h)*(-3*h - h + 3*h) - 3*h**2 + 8*h**2 - 3*h**2 - 7*h**2 + 20*h**2 + 11*h**2.\nAnswer: -8*h**2 - 5*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.6661927 to three decimal places.\nAnswer: -2.666","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14182 - 14182 - 19*f**3 + 7*f**3.\nAnswer: -12*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -892 = -5*h + 7533. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g + 19. Let c(b) = 7*b**2 + 263*b + 140. Let l be c(-37). What is s(l)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 1 - 6)*(-9*h + 6 - 3 - 4) in the form u + v*h and give v.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2b16 (base 13) to base 16.\nAnswer: 1880","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3943?\nAnswer: 3943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -1. Suppose 10*r = v*r + 20. Let a = 17 - r. Calculate the greatest common divisor of a and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-2)\/(-9) - (-1095)\/(-675))*-10. Let l = -117 - -122. Solve -39 = l*h - r for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 times -9901?\nAnswer: -2970.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12885 + 12888. Factor -1\/2*c**z + 0*c**2 + 0 + 0*c.\nAnswer: -c**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 3 = -2*t. Suppose -16 = 26*c - 30*c. Let s(j) = t*j - c + 4. Let k(h) = -3*h. Determine k(s(w)).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 158.972 + -159. Let v = i - -0.027999464. What is v rounded to 7 decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(171))**2 + 0.\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 1285713*z**2 + 3*z + 2*z + 4*z. Let w be r(7). Suppose -4*t + 9*t = w. Round t to the nearest 1000000.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 - 3*a**2 + 30*a + 22. Let y = 35 + -42. Let z be p(y). Solve -9*f + z = 26 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - 0. Let w = 15.8 - 15.9. Let y = -0.16 - -4.16. What is the nearest to w in y, c, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/(1012\/24 - (439 - 398))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -42914 by 1.\nAnswer: -42914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 7563.\nAnswer: 4\/7563","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-4)\/(12\/(-33))*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + -1. Let k = h + 1. Solve -9 = 2*y - 3*n + 3, k = -2*y + 5*n - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1119*q**3 + 4372*q**3 - 1058*q**3 - 1096*q**3 - 1056*q**3.\nAnswer: 43*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12 - 9. Put -7, y, -3, 2 in ascending order.\nAnswer: -7, -3, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*933670.\nAnswer: -280101","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 657*s - 750*s + 1148*s to b + x*s and give x.\nAnswer: -259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3 + 85\/(-30). Put 3, y, -4, -0.1 in ascending order.\nAnswer: -4, y, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7061*q - 7060*q + 21168*q - 3 - 7048*q + 0.\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -314 + 322 + 15*d**2 - 29*d - 20*d**2. Calculate p(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -127826*d*u**2 + 5*d*u + 12177*u**2 - 33*u with respect to d.\nAnswer: -127826*u**2 + 5*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -24 - -11. Which is smaller: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*o**4 + 497*o**4 + 443*o**4 + 15 + 7*o wrt o?\nAnswer: 10716*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -18217.59 or 2\/51?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**3 + 23*w**2 - w**2 + 99*w**2.\nAnswer: -2*w**3 + 121*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 64085556 + -41453156. Round j to the nearest one hundred thousand.\nAnswer: 22600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -10, -7 in increasing order.\nAnswer: -10, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082 is divided by 57?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -8*c**4 + 6*c**3 - 6*c**2 - 430*c - 293. Let y(m) = -m**4 + m**3 - m**2 + m. Let r(u) = -g(u) + 6*y(u). Find the first derivative of r(v) wrt v.\nAnswer: 8*v**3 + 436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 357236685?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 - 2*m**2 + 22*m - 3. Give i(5).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/(n*n\/(n*(n*n**(3\/5)\/n)\/n)))*n*(n**(2\/5)\/n)\/n)\/(n**(-1)\/((n\/n**(-2)*n)\/n)))**(-2\/19) assuming n is positive.\nAnswer: n**(-48\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -200123 - -343?\nAnswer: -144230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 50 divide 371100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 3043 (base 5) to base 8\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -30 + 39. Let u be g\/5 + 2\/10. Suppose -u*o + 5*z = -67, 0 = 2*o - 4*z + z - 57. Is o a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - (sqrt(605) + -2))**2 - (sqrt(5)*3*2)**2.\nAnswer: -40*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -577.84836 to zero decimal places.\nAnswer: -578","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j\/((j*j\/(j**(-2\/11)*j)*j)\/j)*j*j\/(j**(-1\/8)\/j)*(j**(-5)*j)\/(j\/(((j*j\/((j\/(j*j**(-1)*j*j)*j*j)\/j*j))\/j)\/j)) assuming j is positive.\nAnswer: j**(-269\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/((-12)\/(-28)*3\/(-8)*(-132)\/(-99)).\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the second derivative of -a**3\/3 + 5*a. Suppose 0 = -w + 5*w - 12. Let l(g) = -6*g + g + w*g. Give l(q(x)).\nAnswer: 4*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 2*m + 2, 0 = -3*u - 5*m + 29. Let o = 7 + u. What is the remainder when 19 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = 2*z - 4*z. Let r(u) = 3*u**2 + 9. Let x(g) = -5*g**2 - 18. Let q(p) = z*r(p) + 4*x(p). Differentiate q(o) wrt o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 8195, 8411, 8627, 8843?\n\"Answer: 216*n + 7979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -5, 0.08, -4?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -35. Is f a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196 and 364?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84970 is divided by 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -42 + 44. Let j be ((-5)\/2)\/((-1)\/u). Suppose c - 3*f + 63 - 385 = 0, -4*c + 1309 = -j*f. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3 - 738836*q**2 - 7388510*q - 18471400.\nAnswer: 2*(q - 369428)*(q + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2768270 to the power of 1\/4, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 = -2*j + 34*j - 13*j. Let b(n) = -n**2 - 9*n + 9. Let o(x) = 1. Let d(i) = b(i) + 2*o(i). What is d(j)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 2*s + 5. Let w be d(-4). Let m(t) = t**2 - 6*t - 2. Let c be m(5). Let z = w - c. Solve -2 = z*u + 5*o + 12, -4*o - 5 = -3*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/(-54) + (-4)\/(-18). Let h be 5 + 3 + (z - 1). Does 21 divide 315\/3*h\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j - 5*s = 180, -23 = -3*j + 2*s - 116. Let h = -7 - j. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*n**3 + 2928 - 2928 + 2*n**3.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - b = 4*b - 8, 0 = 4*v - 4*b. Let x be (139 - (v - -11))\/(-1*1). Is -125 at most x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-30) + -3 + 22\/165.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -28627956 divided by 49.\nAnswer: -584244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - 1)\/4 - (1 + -13). Does 16 divide (-5193)\/(-54) + (-2)\/c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -14*m**2 - 2628*m + 20634. Give p(8).\nAnswer: -1286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -34*b**3*h**2 + 98*b**3 - 5*b**2*h**2 - 2 wrt h?\nAnswer: -68*b**3*h - 10*b**2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let k = 111\/2 - 54. Determine m, given that -1\/2*m**w - 1 + k*m = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6560, -6551, -6456, -6233, -5840, -5235, -4376, -3221?\n\"Answer: 7*u**3 + u**2 - 43*u - 6525","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 4*u + 232 = 0, -2*u + 197 = 5*f - 431. Suppose 0 = 4*x - 5*l + f, -3*x + 3*l = -2*x + 38. Let y = 11 - x. What is the tens digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((d\/(d\/((d\/d**(-2\/7))\/d)))\/d)\/d)\/d*d**(4\/7)*d)**(-2\/15))**(-3\/7) assuming d is positive.\nAnswer: d**(-16\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 235, 886, 2557, 5758, 10999, 18790, 29641, 44062?\n\"Answer: 85*k**3 + 56*k + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 166*q**2 + 165*q**2 + 169*q**2 - 676*q**2 + 163*q**2.\nAnswer: -13*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 + 6 - 4)*(-5 + 1 + 3) + 0 + 2 + 0)*(-2*j + j + 2*j + (4 + 1 - 4)*(0*j - 2*j + j) + 0*j - 4*j + 3*j - 2*j + j + 0*j).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8736 times -0.03989?\nAnswer: 348.47904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1767.569 centuries in months?\nAnswer: 2121082.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ege when three letters picked without replacement from geee?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.868556 rounded to 1 dp?\nAnswer: -17.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1528419 divided by -51\nAnswer: -29969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/4*(2580\/(-70))\/(-6)*-1?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60263 to the nearest integer?\nAnswer: 245","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -39\/14 or -2?\nAnswer: -39\/14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of -a**6\/720 - a**5\/60 - 7*a**4\/12 + 19*a. Let t(h) be the third derivative of b(h). Give t(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00651599 to three decimal places.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o**4 - 4336*o**3 + 724468*o**2 - 26540000*o - 27268800 = 0. What is o?\nAnswer: -1235, -1, 60, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 19*a**2 - 2. Suppose -8*g + 30 = 5*z - 3*g, 4*z + g = 12. Let o be t(z). Suppose 5*u + 48 = r, o = 4*r - 5*u - 43. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 48256 to the nearest integer?\nAnswer: 220","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23.8 - -0.8. Let z = i + 22.4. Let l = 0.8 + z. Which is the second smallest value? (a) l (b) -3 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 15*l - 26. Let n be q(2). Let k be 3 - (1 + 23)\/(-2). Solve -n*w - k = w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14678400?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b**2 - b**3 + b**2 + 5*b**3 + 2*b**3 + 1 to the form n + h*b + i*b**2 + p*b**3 and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o**2 + 2*o - 1. Let z be r(4). Let a = -13 + 25. Is z\/6*(-4376)\/a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/12096 and -29\/22.\nAnswer: 133056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 6335.58 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/63210 and 13\/2322.\nAnswer: 568890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -3*m + 30, -9*v - 35 = -3*m - 5*v. Find the third derivative of -179*x**2 + 735*x**2 - 20*x**4 + 4*x**m - 238*x**2 - 216*x**2 wrt x.\nAnswer: 240*x**2 - 480*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2716 - -2706. Sort -83, 5, m in decreasing order.\nAnswer: 5, m, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 30 + 50. Let z(f) = f - 2. Let v(u) = -2*u + 4. Let w(n) = 6*v(n) + 11*z(n). Let i be w(-8). What is the highest common divisor of m and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 78, 360, -14, 1 in decreasing order.\nAnswer: 360, 78, 1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (5 - 4)) + 15 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13337 is divided by 116?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171800 + 7215937\/42. Let z = -17\/2 + c. Which is smaller: z or 0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*f**3 + 106*f**2 + 353*f.\nAnswer: -12*f + 212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1.589558 <= 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - 3\/4*4. Let v(k) = 4*k**2 - 2*k - 4. Is 11 a factor of v(r)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**2 - 136*f + 4840. Determine a(62).\nAnswer: 252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -49\/3. Which is the nearest to -1? (a) 1 (b) n (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13751\/123921 + -2\/13769. Let h = 0.7 + -0.2. Let i = -0.1 - -0.3. Which is the nearest to -1? (a) h (b) i (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3, 705, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12566 is divided by 217?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(104)\/(sqrt(32)\/sqrt(4)) - -6*(sqrt(1573) - sqrt(13))) + 5*sqrt(13)*2 + 2*(sqrt(13) + (sqrt(13) + -5)**2).\nAnswer: 76 + 53*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 + 8*f**2 - 3*f - 8. Let i(z) = -2*z**3 - 7*z**2 + 2*z + 7. Determine -5*g(h) - 6*i(h).\nAnswer: 2*h**3 + 2*h**2 + 3*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75988.76s to nanoseconds.\nAnswer: 75988760000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - y = -63. Let w(m) = m**3 - 57*m**2 + 57*m - 54. Let u be w(56). Let j(h) = 8*h**2 - y*h**2 + 14*h**u. Let s(f) = -7*f. Calculate s(j(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 7 - 1. Suppose -6*g = -j*g. Suppose 4*x - x - 177 = g. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the third derivative of 6*c**3 + 16*c**2 + 0*c - 1\/12*c**4 - 1\/20*c**5 + 7\/120*c**6 + 2. What is the second derivative of p(u) wrt u?\nAnswer: 42*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 15 + v**2 + 16 - 31. Let b(q) = 11*q - 6. Let d(h) = -11*h + 5. Suppose -f - 3*p - 9 = 12, f + 4*p = -26. Let y(l) = f*d(l) - 5*b(l). Give w(y(s)).\nAnswer: 121*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 532*a - 10123. Let t be q(19). Put -4, t, -1, 17, -2 in descending order.\nAnswer: 17, -1, -2, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dnnnnnnnnxnddndnddnd. Give prob of picking 1 n and 1 d.\nAnswer: 42\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 8*i - i + 1945 = 2010, -q - 25 = 13*i + 2 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-8) - (-2)\/2. Let l = -2\/3 - u. Which is the second smallest value? (a) 0.2 (b) l (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 + 2)*16\/(-3). Let f = g + 34. Suppose 41 = f*x - 7. What is the remainder when x is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/90*6\/(-24)*-10.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-5*sqrt(3)*-6*1 - (sqrt(1323) + sqrt(1323)*3)).\nAnswer: -216*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 2*z - 8 = 0, r = -5*z + 151. Suppose 11*h - 16*h = -165. What is the remainder when r is divided by h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -511\/4, 3\/4, 1\/4, 4\/7, -8?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 117249414809 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1092 = -b + 3*b. Let y = -14 + b. Round y to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 812383, 1624781, 2437183, 3249589, 4061999, 4874413, 5686831?\n\"Answer: 2*v**2 + 812392*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(4\/5)\/(o**(-2\/69)*o))\/(o**(-3\/5))**(-4\/9))**(-1\/46) assuming o is positive.\nAnswer: o**(151\/15870)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lata when four letters picked without replacement from lllllllltllllaaal.\nAnswer: 13\/9520","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6312*(28\/(-8) - -3)\/(-1). Suppose 61*q - a = 55*q. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.5\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iis when three letters picked without replacement from {i: 2, s: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2769*t - 3038*t + 5569*t + 1190 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -100 + 21?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100099?\nAnswer: 31, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*h = -3*h - 315. What is the remainder when h is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399944703 divided by -4.\nAnswer: 399944703\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the third derivative of 1\/60*f**5 + 0 - 7*f**2 + 1\/3*f**4 + 0*f + 8\/3*f**3. Factor n(v).\nAnswer: (v + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 175 - 470. Let y = -294.98 - g. Which is the nearest to y? (a) 0 (b) 2 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**3 + 11*v**2 + 3*v - 28. Let o be y(11). Let t(w) = 4*w**3 + 7*w**2 - 8*w + 15. Does 25 divide t(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1714421*o**3 + 19*o - 65492721 wrt o.\nAnswer: 5143263*o**2 + 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 87307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -3*r**2 - 741342*r - 45798996747 = 0.\nAnswer: -123557","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**3 - 4*d**2 - 2*d. Let a(y) = -y + 2. Let z(t) = 2*t - 5. Let c(o) = -5*a(o) - 2*z(o). Let h(m) = 4*c(m) + 2*r(m). Factor h(v).\nAnswer: 4*v**2*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - (4 + -13) - -1) + -7 + 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 2, 15, 1\/7, -71, -0.4, 0.533?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 46172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + 6*d**2 + 6*d + 2. Give h(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 313506224 and 51440.\nAnswer: 10288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 27\/553 - -552757\/4977. Does 112 = w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 + 3*i**2 + 8*i - 21. Let h be u(3). Suppose -136 = -h*r - 5*r. Solve -3*p + 4*f = -r, 0*p + 3*p + 5*f = -1 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -22) + -5 + 6 + (8 - 5 - -5)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n - 3*n + 2*n)*((0 + n + 0)*(-32 + 3 - 4) - 9*n + 26*n + 13*n).\nAnswer: 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 5*s - 5 = 0, -149*s + 150*s = -1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y - 21853529 + 821053529 = 0. What is y rounded to the nearest one million?\nAnswer: 89000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -650*p - 715. List the prime factors of o(-4).\nAnswer: 5, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/17, -4134, 1, -0.3, 5, -4?\nAnswer: -4134","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -31 - -34. Suppose 18 = -w + 5*o - 4, -w - v*o = -18. Solve -w + 7 = 2*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 15*d**2 + 6*d - 3*d**2 - 6*d + 3*d. Let u(x) = 4*x**2. Calculate f(u(a)).\nAnswer: 192*a**4 + 12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*p + 18. Solve p*f + 2*f + 5 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12122*y**2 + 3*y + 235 wrt y.\nAnswer: 24244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + (-2 - (3 - 10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 7*z + 1. Let r be ((-7)\/3)\/(1\/(-3)). Suppose -r*b = -11*b - 4. What is i(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 12. Suppose -4*b = -23 - r. What is the greatest common divisor of b and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 4) to base 15\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12. Let i be 29\/9 - 10*3\/135. Let x(v) = -7. Let w(g) = i*c(g) - 5*x(g). Let u(y) = -6*y + 6. Calculate u(p) + 6*w(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -0*t - 4*t. Let s = -1.1 + 5. Let p = s - -0.1. Which is the third biggest value? (a) 3 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b. Let w(h) = 1 - 6 + 5 + 6*h. Calculate w(z(v)).\nAnswer: -18*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9374981?\nAnswer: 7, 11, 109, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 95 + 1346*h - 25 - 70 to the form a + m*h and give m.\nAnswer: 1346","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2626.681 - -2627. Which is smaller: 0.07 or l?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 365 + 3*p**3 - 3*p**2 - 2*p + 6*p**2 - 368 + 0*p to the form g*p + h*p**2 + f*p**3 + d and give h.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2 + sqrt(76)*-4)*-2 - (sqrt(76) + 2 + -3 + sqrt(76))*-1)*-2)**2.\nAnswer: 480*sqrt(19) + 30436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*i + 18*i = -25 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 2*k - 15 = 0. Which is bigger: -6 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -24*x**2 + 550*x + 2581. Determine a(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -5 - 151?\nAnswer: -200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f - 5*g = 5, 0 = 3*f - f + 2*g + 10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -151385, -151390, -151399, -151412, -151429, -151450?\n\"Answer: -2*g**2 + g - 151384","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the first derivative of n**5\/60 - 5*n**3\/3 - 2. Let o(y) be the third derivative of u(y). Let g(s) = 4*s**2. What is g(o(i))?\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4825700 divided by -5350?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (384\/(-20160))\/(2\/(-14))*-6\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**3 + 2*n. Let w be d(-2). Let i be -74 - 0 - w*1. Is (i\/18)\/((-1)\/33) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x**2 + 48 + 43 - 91.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9391*z - 2835*z + 8113*z - 10800*z - 11085*z.\nAnswer: -25998*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -22. Let v be 2 + 2 + (2 - h). What is the second derivative of -v*k**5 + 2*k + 6*k - 6*k**5 wrt k?\nAnswer: -180*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-204)\/(-170)*-15*6\/81.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -1 - (74 - 63)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g - 2*g - 11537 + 11726 - 5*g.\nAnswer: -12*g + 189","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 650*u**2 - 11051*u + 9. Calculate v(17).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) be the first derivative of -2*u**2 + 4*u - 1. Let n be (-6)\/5 - 72\/40. Determine j(n).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -19123129*r**3 + 248443249*r**2 + 2046240*r + 4212.\nAnswer: -(r - 13)*(4373*r + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21 + 51 + -61 + -55.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:30 AM and 8:03 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 - 118*c**2 - 239*c - 97. Calculate o(120).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pk when two letters picked without replacement from {p: 3, d: 2, k: 3, g: 2, z: 6}.\nAnswer: 3\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.28476 and -207.\nAnswer: -206.71524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -512 (base 16) to base 13.\nAnswer: -78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z*z**(-4))*z\/(z\/z**(-3\/10)))**(1\/18))**(2\/19))**(-1\/43) assuming z is positive.\nAnswer: z**(-37\/73530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + q + 566, -z + 3*z - 5*q - 386 = 0. Let a = z - -12. What is the highest common factor of 25 and a?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -4*b - 5*j + 55, 5*j - 47 = -4*b. Let g = b - 7. Let h be ((-4)\/(-10))\/((-14)\/(-10)). Which is bigger: g or h?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*u + 1145 + 4128 = 131*u - 555 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -1, 1\/7, -1\/6, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k**3 + 3*k**2 + 1. Let z(i) = 178*i**3 - 156*i**2 - 342*i - 516. Let s(b) = -60*w(b) - 2*z(b). Suppose s(c) = 0. Calculate c.\nAnswer: -27, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of o**5\/60 - o**4\/24 + o**3\/3 + o**2. Let d be ((-8)\/(-36)*-3)\/(-2*(-8)\/(-48)). Determine v(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1216 is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i**2 - 1030*i - 20240 = 0 for i.\nAnswer: -184, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/4 - 1935\/(-86) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 96.555 in 4\/9, 2, 6, 0.2, -5, 0.5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are 67047 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i = 8*i - 724. Let r = i + -206. What is the remainder when r is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 4*x - 3 = -4*n, -4*n + 4*x = -12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 2. Suppose -3*o + 4 = 5*u, o - 2*o = 2*u - i. Let h = u - 1. Put h, -2, 0 in decreasing order.\nAnswer: h, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38796331*a**3 - 143632143*a wrt a.\nAnswer: -232777986*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2197*a - 8000 + 2866 + 3112 wrt a.\nAnswer: 2197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*b - 3*b + 2. Let x(g) be the first derivative of g**4\/8 - g**3\/6 + g**2\/2 + 6. Let j(i) be the second derivative of x(i). Determine j(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 18219, 72700, 163445, 290454, 453727, 653264?\n\"Answer: 18132*y**2 + 85*y + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.25 + 0.05. Let m be (-19080)\/1890 + ((-3)\/(15\/(-50)))\/(5 - 4). What is the nearest to 2\/5 in m, a, -0.02, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*(j**(-1)\/j)\/j)\/((j*j\/(j\/(j*(((j*j**(-1\/4)*j)\/j)\/j)\/j)))\/j*j))\/(j**9\/j**(-2)) assuming j is positive.\nAnswer: j**(-55\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 2130.\nAnswer: 10650","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28\/20 - 3\/((-150)\/(-70)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 3 = 3*s. Let q be ((-3)\/6)\/((-2)\/(-20)). Let k be (-1 - -1)\/(-1) - 0. Sort k, q, s in decreasing order.\nAnswer: k, s, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*b + 18*b = -34*b + 1560 for b.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 105894, 105894, 105896, 105900, 105906?\n\"Answer: g**2 - 3*g + 105896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 l when two letters picked without replacement from hehlqqlqlqqmhlqh.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 16128 and 96?\nAnswer: 16128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -2*k**2 - k + 1. Suppose 5*p = -l + 1, 3*p + 3*l + 9 = -0*l. Let h be (-4 - (-1 + 0)) + p. Calculate c(h).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.046? (a) 71 (b) 4.4 (c) -0.26\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 28 - 5*z - 130 + 36 + z**2 + 45 + 12*z. Determine x(-9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 6, w: 2, i: 5, s: 3, r: 1}. What is prob of sequence rs?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6759 divided by 244.\nAnswer: 6759\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 139*s**2 - 1081*s - 34. Determine w(8).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -30 + 23 + -14.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 270\/81*(11 - -1). Let c = -20 + v. Find t such that -2*t**2 + 2*t**2 + 2*t**2 + 45 - c*t + 5 = 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 76 = -0*t. Let g(q) = q**3 + 6*q**2 - 4*q. Let p be g(-6). Let m be t + 15 - p*-1. Which is smaller: 19 or m?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -5*u + 0 - 4 + u**2 - 1. Suppose 4*b - 11 - 13 = 0. Let z be q(b). Is z at least as big as -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 4*l. Let w(i) = -11*i**2 + 6*i**2 + 4*i**2. Give w(r(k)).\nAnswer: -16*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j**5 + 2055*j**3 - 7970*j**2 + 1860*j + 11880 = 0. What is j?\nAnswer: -22, -1, 2, 3, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2113 - 2102. What is the second biggest value in -2\/3, 6, j?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 92 - 223\/2. Calculate the common denominator of -67\/20 and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 135*g**4 + 345*g**3 + 275*g**2 + 55*g - 10 = 0. What is g?\nAnswer: -1, -2\/3, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2167 a factor of 52319740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/156 and 49\/13394.\nAnswer: 1044732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 43958 to the power of 1\/3, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = -4*v + 31. Let x(n) = 4*n**2 + 2. Let k be x(-2). Suppose 0 = 4*w - w - k. Calculate the remainder when v is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -277 - -1051. Let z = -1497\/2 + w. What is the common denominator of 75\/8 and z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + f - 1, 6*f - 11*f + 5 = -4*w. Sort 3, -23, w.\nAnswer: -23, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -11 - 4. Suppose 5*v - v = 88. Let y = v + s. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 2 + 5 - -2956. Suppose 20*h + 660 = c. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a - i + 19 = 0, 25 - 196 = 3*a - 32*i + 20*i + 3*i for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*m**5\/4 + 7293*m**4\/4 - 2210685*m**3\/2 - 6653949*m**2\/2 - 13322499*m\/4 - 4443267\/4.\nAnswer: -3*(m - 1217)**2*(m + 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -64765 - -15?\nAnswer: -64750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j**2 + 7*j - 12. Suppose 0 = n + 3 - 5. Let p be m(n). Suppose -p*k = 7*k - 51. Solve q = k - 4 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*n**2 + 0*n**2 - 3*n**2)*(8 - 2 - 7 + 5*n).\nAnswer: 10*n**3 - 2*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5*z**2 + 12*z - 50. Let k(l) = 11*l**2 - 29*l + 102. Let q(r) = -13*g(r) - 6*k(r). Give q(21).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(1638\/147)\/78)\/((-3)\/(-4)*2)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i**(1\/34)*i)\/i)\/i)\/i*i**36 assuming i is positive.\nAnswer: i**(1157\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -35*s + 318. Let a be m(9). Let r(z) = -z - 2. Let c be r(3). Sort 36, a, c in decreasing order.\nAnswer: 36, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 PM and 1:09 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -388, -147, 163 in ascending order.\nAnswer: -388, -147, 4, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 51508 or 51506?\nAnswer: 51506","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5*(-90)\/75)\/(1 + (-48)\/30).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from bviviivv?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nin when three letters picked without replacement from noononnoiooonnononi.\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(275) + -2*sqrt(275) + sqrt(275) - sqrt(275))\/sqrt(5))\/(2*sqrt(11)*-2).\nAnswer: sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 1. Suppose p = 2*m, 49 = -y + 5*y - m. Does 13 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 8*j**2 + 10*j - 16. Let v be g(-6). Let x be (-2)\/(-3) - (-192)\/(-234). What is the third smallest value in x, v, -3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oa when two letters picked without replacement from owoyoaaolawalloa?\nAnswer: 5\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11 + 9 + -7 + -3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*z = -6, 3*m = 3*z + 3. Suppose 184 = m*q + 4*a, 3*q = -q - a + 241. Is 7 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -56*q + 58*q. Calculate the common denominator of -39\/2 and (-2 + 9)\/(q\/(-9)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 5*y = 0. Is -3\/10 less than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10241614 + -13?\nAnswer: 10241601","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 55058173?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (36\/(-48))\/(60\/(-112) + 0).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c - 2*k - 21, 2*c - 67*k = 1176 - 768 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -21\/43 in -3, -1\/4, 14, 1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 345\/11 + -2535\/44. Suppose 5*i - 46 = -176. Let w = r - i. What is the closest to w in 3, 5, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10186 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**2 - 3*r - 3. Let o be c(-1). Solve 9 = -3*k - 4*j, -5*k + 10 = -k - o*j for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7299609 - -25092.\nAnswer: -7274517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 16*q**2 + 16. Let d be m(16). Let f = 19 - d. Solve z - 1 = 3*i, i = 3*i + f*z - 3 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 0*z = -4. Suppose 8 = 2*v - 4*l + z*l, -15 = -4*v + 5*l. Calculate the smallest common multiple of v and (2\/(-6))\/(5\/(-60)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 547105 divided by 13\nAnswer: 42085","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4122320 to the nearest integer?\nAnswer: 2030","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*r**2 + 489*r**2 - 65*r**2 - 406*r**2.\nAnswer: -26*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-4 - 4) - (3 - 11)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 2. Let x be g(-5). Suppose -j + 32 = x*j. Let i(u) = -u**3 + 10*u**2 - 6*u + 9. Is i(j) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:26 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 894 is divided by 56?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (3 - 0) - 0. Suppose l = r - 5*q - 75, 2*q + 76 = -3*r + 233. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 1 i when three letters picked without replacement from gtpzzggigp?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*d + n, -4*d - 3*n = d + 10. Are -6 and d equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 16) to base 9\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.2 + -4.2. Which is smaller: -4 or s?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*g + 10*g = -2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(85)*6)\/(-6*sqrt(5)*-1).\nAnswer: -sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22002000 + 1221011?\nAnswer: 101000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*b = -4*b - 1760. Let i be b*(2 + 39\/(-12)). What is i rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2056\/((-4 - (-21)\/5)*5\/14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28530?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 - 12*w**2 + 22*w + 7. Calculate the remainder when x(11) is divided by 33.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -213, -424, -635?\n\"Answer: -211*p - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/3)\/r)**(-4)\/((r\/r**(-6)*r*r)\/(r*r**2)) assuming r is positive.\nAnswer: r**(-2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2 = a. Suppose 2*h - 4*u = 0, 20 - 5 = 4*h - 5*u. Suppose 0 = 2*m - 0*m + h. Sort a, 0, m.\nAnswer: m, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 423 minutes after 3:03 PM?\nAnswer: 10:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1200\/(-500))\/((-4)\/10). Let f = -9 - -8. Sort f, z, -3, 3.\nAnswer: -3, f, 3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*q - 10 = 0, -6 = -3*p + p - 3*q. Suppose p = -3*m + 2*m + 10. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -8009*r + 5. Let k(m) = 2*m**2. Calculate g(k(s)).\nAnswer: -16018*s**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2044697?\nAnswer: 2044697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2417 is divided by 516.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2351 is divided by 84.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 940?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o**2. Let p(a) = 3*a. Let l(t) = t. Let h(r) = 7*l(r) - 3*p(r). What is c(h(q))?\nAnswer: 20*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52.66 + 0.34. Let b = r - 24.75. Let o = 5.15 - b. What is o rounded to the nearest integer?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 699\/5 + -651\/5. Which is greater: 10 or c?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8117\/1120 + 3\/1120. Let g(u) = 209*u + 2. Let m be g(-1). Let z = -1231\/6 - m. What is the common denominator of b and z?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (2 - (-1 - (4 - 3)))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 140751017?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 - 0.1. Let b be ((-96)\/40)\/(2\/5). Let o be 51\/170*-2*(-2)\/b. Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9310 divided by 1.\nAnswer: -9310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 518.0411 minutes to milliseconds.\nAnswer: 31082466","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95577771.\nAnswer: 3, 19, 37, 45319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of 7*w**2 + 0*w + 80 - 65 + 32*w. Differentiate k(o) wrt o.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1025051471 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1959084809?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1752, -3199, -4646, -6093?\n\"Answer: -1447*p - 305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (78 + 76 - 155 + f)*(2 - 4 + 0)*(-3 + 0 + 1) to the form a + s*f and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157\/4 + -38. Is u less than or equal to -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 553*g**2*y**3 - 3*g**2*y**2 - 62*g*y**2 - y**2 wrt y?\nAnswer: 3318*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2002 - 2002 + 1827*o**3.\nAnswer: 1827*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 3*f + 33 = 0, -d + 2*f + 36 = -6*d. Let r be 498\/d*(-1 - 0). Suppose 4*o = g + r, g + 39 = o + o. Is 12 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 8 = 10*a. Let k be 148\/240 - (-4)\/(-6). Is k at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -18? (a) 33 (b) 1 (c) 5 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 154144409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001 + -11000?\nAnswer: -1111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -90324, -90329, -90332, -90333, -90332, -90329, -90324?\nAnswer: -90317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 + 4051845?\nAnswer: 4051842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -426 + 425.999493. Round n to 5 dps.\nAnswer: -0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 234044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 53 + 9*u - 20 - 33. Let w(t) = -12*t**2. Determine a(w(f)).\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 28032050461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 98649, 98396, 98141, 97884, 97625?\nAnswer: 97364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -50 - -55. Suppose -k*a + 85 = -15. Solve -5*p - 2*i - a = 3*i, 5*p + i + 8 = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) -0.5 (c) -2\/5 (d) -50 (e) -179\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + 317. What is the hundreds digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 15 - 2. Let z(k) = 2*k**2 - 5*k + 8. What is the remainder when z(6) is divided by w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 7:59 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 201 and 469?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 24, -119, 3, -1 in descending order.\nAnswer: 24, 3, 0, -1, -119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 565773 a multiple of 489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -213 (base 4) in base 15?\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -n - 2, -x - 4*n - 3 = -6. Let b = -75\/11 - -10533\/1540. Let v = 229\/2380 + b. What is the second biggest value in -5, v, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*l + 5*q + 9, l - 333*q = -335*q - 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 68 and 187.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1316007 is divided by 219284.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-4)\/(4\/1))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.2 (b) 132 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 1 - 1 + 5*g**2. Let x(r) = -16*r**2 - 5*r - 5. Let u(k) = -57*k**2 - 18*k - 18. Let y(o) = -5*u(o) + 18*x(o). What is l(y(z))?\nAnswer: 45*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 344845, 0, 5 in increasing order.\nAnswer: 0, 5, 344845","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 10778 - -516522. Round s to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 576 and 320.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 20 = 6*n. Let g(v) = 0*v + 3*v + 7*v**2 - 5*v**3 + 788 - 791. Let l(w) = -10*w**3 + 15*w**2 + 5*w - 5. Let u(o) = n*g(o) + 2*l(o). Factor u(z).\nAnswer: 5*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-8)\/10*(11005\/(-10) + -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 253 and 138?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.9 and 50426.\nAnswer: -45383.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31306\/3 - -125221\/12. Let f = -1.1 - -0.1. What is the closest to f in -3\/5, r, -4?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + 19*g + 68. Calculate p(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -142401549 + 648501558. Let q be (-6)\/14 + n\/21. Round q to the nearest one million.\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 + 0. Let u = -1343 - -1343. Let a = u - y. Which is greater: -8 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 936 and 9828.\nAnswer: 19656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ygggggggggggee. Give prob of sequence ee.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(-1)*g**(-5))**(-29) assuming g is positive.\nAnswer: g**145","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 - 7 = 17*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 478792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 5, -3, -0.5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 3*b = -21, 0 = 4*a + 4*b - 9*b + 19. Let q = -4.66 + 5.06. Let g = 14 - 14. What is the smallest value in a, g, q?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*k - 87*k - 88*k - 81*k.\nAnswer: -23*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2012 + -41?\nAnswer: -2103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, 0.0677, 5\/22, 2\/19, 0.4?\nAnswer: 0.0677","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1187 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 131794752 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -l**5\/60 + l**4\/24 + 11*l**3\/6 + 2*l**2. Let m be z(0). Suppose p - 2 = -p. What is the highest common factor of m and p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, 3, -1\/2, 825?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 4) to base 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3639132?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(330)*1)\/sqrt(11))\/(1*(sqrt(384) - (sqrt(384) - -3*sqrt(384)))).\nAnswer: sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the second derivative of g**4\/3 - g**3\/6 + 3*g**2 - g. Let l(m) = 3*m**2 - m + 5. Let d be (-30)\/36*6 + 10. Calculate d*p(n) - 6*l(n).\nAnswer: 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1230021 (base 4) in base 3?\nAnswer: 100111100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2027000 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253*k + 247*k - 534 = 0. Let f = -34 - k. List the prime factors of f.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 121*u**2 - 13*u - 98. Let f be n(-5). Suppose 2*o = a + 5*o - 596, 5*a - f = -3*o. What is the units digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 70368.\nAnswer: 70368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-22) + 11\/((-4235)\/14)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 1624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hee when three letters picked without replacement from hezhhehheheehhhhh.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 41313, 41312, 41311, 41310?\n\"Answer: -v + 41314","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -264 or -265?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17289190 is divided by 17169?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -261.8 and -21134.\nAnswer: 5532881.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 527, 4, 0, 2, -0.4 in descending order.\nAnswer: 527, 4, 2, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 140 - 82 = 58*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2))**(-31)\/(i\/(i*i*i\/(i**(-2\/3)*i)))**(-40))**(-1\/42) assuming i is positive.\nAnswer: i**(1\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(72))*6 + -5.\nAnswer: -11 + 36*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/5 (b) 251 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -2. Let l = 9 - 1. Calculate the remainder when l - 3\/(0 - -3) is divided by r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:15 PM and 10:56 PM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 696870 to the power of 1\/2, to the nearest integer?\nAnswer: 835","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.1 - 0.04. Let f = 4.34 + n. Let a = f + -2.5. What is a rounded to zero dps?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + l + 4*n - 2 = 0, -5*n + 13 = -l. Suppose -l*k - k + 6 = 0. Factor -i**2 + i**k + i**2 + i.\nAnswer: i*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*w - 3*w - 6, 3*w = -2*z - 38. Suppose -4*m = -5*p + 117, 3*m - p = -2*m - 162. Let o = z - m. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -49.5479 + 0.0479. Let l = 40 + -89. Let f = l - s. What is the third smallest value in f, 0.1, -2\/9?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -106 - 144 = -5*d. Calculate the remainder when d is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = v - 3, -2*r = 3*v - 7*r - 15. Suppose -2*t - 2*t + 48 = v. Solve -l = 3*c - t, l + c = 3 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*x**2 - 3*x**2 + 25*x**2 in the form v + u*x**2 + w*x and give u.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -34*z**2 + 34*z**2 - 15*z**4 + 3*z**3 = 0.\nAnswer: 0, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2990?\nAnswer: 2, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 6, w: 4, x: 5}. What is prob of sequence xx?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**5*n**(-7)*(n**(2\/7)\/n)**(-9) assuming n is positive.\nAnswer: n**(31\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 5708 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -36.9 - -35. Let f = 2.9 + g. Let x = -4 + f. Sort -2, x, -1\/2.\nAnswer: x, -2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33645443?\nAnswer: 13, 563, 4597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of -5269*u**4\/12 + 134*u**3 - 1417*u. What is the second derivative of o(f) wrt f?\nAnswer: -10538","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9758*n**2 + 14922*n wrt n.\nAnswer: -19516","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6945)\/168 + (-2)\/7. Let w = q + 3635\/88. Find the common denominator of -67\/22 and w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = -l, 5*n = 4 - 19. Let b(p) = 26*p + 2. Determine b(l).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 7*b**2 + b. Suppose 2*q + o - 6 = 0, 0*o + 4*o = 0. Is 20 a factor of g(q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23570307 is divided by 5892538.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -2\/9, 0.1, 2.1 in increasing order.\nAnswer: -2\/9, -2\/11, 0.1, 2.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 3840*n**2 - 1580*n**2 + 4131*n**2 - 43*n**2 in the form l*n + h + x*n**2 and give x.\nAnswer: 6348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 8773562568 to the power of 1\/8, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 - 0.011199561?\nAnswer: 0.118800439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 658544 to the power of 1\/2, to the nearest integer?\nAnswer: 812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -27 - -34 - (-2 - -7). Solve 14 = -12*k - v*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34585 != 34585?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -28442249, -28442251, -28442253, -28442255, -28442257, -28442259?\nAnswer: -28442261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -496*z**3 - 218*z**3 - 743*z**3.\nAnswer: -1457*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -23 - -34. What is the remainder when c is divided by 5*((-11)\/(-5) + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -7, 4 in descending order.\nAnswer: 4, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 7524*u**2. Let l(w) = -5*w**2. Determine n(l(k)).\nAnswer: 188100*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**3 - 3*f**2\/2 + 8*f + 6 = 0.\nAnswer: -2, -3\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-8)*(12 + (-168)\/18). What is the closest to o in 56, 2\/9, 0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 10, 4, 68533 in increasing order.\nAnswer: 4, 10, 22, 68533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**3 + 4*y**2 - 2*y + 5. Let o = -155 + 108. Let a = -23 - o. Suppose -a*r = -21*r - 12. Calculate q(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from etmmn. What is prob of sequence tenm?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 8*t. Let s be f(8). Suppose -k - 4*k + 50 = s. Let h = -1 + k. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 518125, 1036250, 1554375, 2072500?\n\"Answer: 518125*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/2*((-114)\/(-30) + -3).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198\/(-429)*-26 + -30?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 71. Let d(o) = 5*o - 20. Let r be d(p). Suppose 0 = r*v + 3*c - 434, 3*v - 39 - 233 = 4*c. What is the highest common factor of 8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.71 in -0.3, -0.4, -0.2, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 515646 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 22*g**3 - 2*g + 2. Let b be l(1). Let p = b - 16. Suppose 2*q = r - 14, 16 = -p*q + 2*q - r. Put 11, -0.2, q in ascending order.\nAnswer: q, -0.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10364*z**4 + 6*z**3 + 374*z**2 - z - 188492219?\nAnswer: 124368*z**2 + 36*z + 748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -21*r - 70. Determine o(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10*f**2*j**2 - 6*f**2*j + 123*f**2 + 147*f*j**2 - f*j - 7*f wrt f.\nAnswer: -20*j**2 - 12*j + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -3*s + 11. Suppose -4*w - 1 = 5*o - 4, -5*o + 21 = -2*w. Let m = -2 - o. What is the units digit of t(m)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (18 - (4 + 8)) + -14\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*j**4 - 12*j**4 - j + 39 + j**4 - 2*j**4 wrt j.\nAnswer: -84*j**3 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(121) - (sqrt(121) + sqrt(121) + -5*1*sqrt(121))))\/((3*sqrt(165)\/sqrt(3))\/sqrt(5)).\nAnswer: 4*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/40 and -59\/1083080?\nAnswer: 1083080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.14*55.\nAnswer: -7.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-4\/5))\/(o\/o**3)*(o*(o\/(o\/(o**(4\/5)\/o)*o))\/o)\/(((o*o**(3\/4))\/o)\/o)*((o**(-2\/5))**(-4\/13))**(-2\/67) assuming o is positive.\nAnswer: o**(21711\/17420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1170 = -162*z + 97*z for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-6) - (-98)\/4. Suppose 4*b - 4*i = 8, 9 = -4*b - 4*i + x. Let q be (3\/b)\/((-1)\/(-5)). What is the third biggest value in q, 4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -28. Let b = c + -4. Solve -b = -v - 4*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6422 or -6424?\nAnswer: -6422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/3, 0.5, 8, 0.01973.\nAnswer: 0.01973, 0.5, 4\/3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1368 divided by -4.\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8891 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5818.6 + -5819. Put 4, 0.5, 3.7, x in ascending order.\nAnswer: x, 0.5, 3.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44192 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of y**8\/2016 + y**7\/560 + y**6\/360 - y**5\/15 + 3*y**2. Let k(c) be the third derivative of h(c). Solve k(u) = 0.\nAnswer: -1\/2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 n, and 1 t when three letters picked without replacement from {q: 1, n: 1, l: 2, h: 1, t: 1, u: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ugugugmsgs. Give prob of sequence sus.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 6*z + 8*z - 7 + 24*z.\nAnswer: 26*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -239 + 337. Suppose -3*v + f = -13. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-14 - -7 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 2, g: 2, n: 1, m: 1}. Give prob of sequence gnm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3\/7, 0.3, -0.59, -7?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 11 = 4. Let u be 233\/7 - (-2)\/(-7). What is the highest common factor of a and u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44997 a multiple of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 68107720 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -146 + 166. Sort -2\/7, 5, q in descending order.\nAnswer: q, 5, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1680.75409 rounded to 1 dp?\nAnswer: 1680.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2156) + -2)*5)**2.\nAnswer: -2800*sqrt(11) + 54300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000600308 rounded to four decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 4*g + 50. Let d(q) = -q + 11. What is the remainder when 11 is divided by d(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 - -101111010101001?\nAnswer: 101111010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100280.\nAnswer: 2, 5, 7, 13, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(4\/(1*-32)). Let f(l) = -l**3 + 6*l**2 + 8*l - 3. Let a be f(7). Let y = 11 - 7. Solve 3*r + 9 = -z - a, 0 = 5*z + y*r + i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*-0.1\nAnswer: 0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23509919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**3 - 5*l**2 - 2*l + 4. Let a be p(0). Suppose -a*g = -3*k - 26, -8*k + 5*k + 6 = 0. Solve 9*t - g*t = 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = -3*b - 3*w + 3, 4*b = 4*w - 24 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 195091 or 195089?\nAnswer: 195089","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5383 or 6\/37?\nAnswer: 6\/37","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + (-3*3*sqrt(320) - 4*2*sqrt(320))**2 + 1)*1.\nAnswer: -277434","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 + -18. Let u be ((-69)\/24 - -2) + 1. Sort 0.5, y, u in decreasing order.\nAnswer: y, 0.5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 47\/2 + -607\/26. Let q be (-2)\/1 - (-14)\/6. Put q, -2\/9, i in increasing order.\nAnswer: -2\/9, i, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -12*c + 65. Let m(p) be the first derivative of -p**3\/3 - 2*p**2 + 15*p + 9. What is the remainder when c is divided by m(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85) + 6*sqrt(85)*1 + sqrt(85) + sqrt(85) + sqrt(85))\/((sqrt(30) + sqrt(30)*2)\/sqrt(6)) - (sqrt(1275)*1)\/((sqrt(66)\/sqrt(2))\/sqrt(11)).\nAnswer: -5*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -155a88 (base 13) to base 9\nAnswer: -882667","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.2 and 7.9?\nAnswer: 9.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-637))\/((-264)\/924).\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00657726 rounded to five dps?\nAnswer: -0.00658","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 + i**2 + 2*i - 1. Suppose 0 = -4*t + 666 + 230. Suppose -214*d = -t*d - 20. Calculate j(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dppwdrrpzipw. Give prob of sequence prp.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1\/36 - -41\/180. Suppose -2\/5 + 1\/5*f**2 - w*f = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 23 = 1. Suppose -n*c - 16 = 0, -r + c - 3 = -9. Solve 2*f + g - r = 0, -5*f + 3*g + g = 21 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) be the third derivative of -g**8\/84 - g**4\/24 - 2*g**2. What is the second derivative of u(v) wrt v?\nAnswer: -80*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -528\/127 equal to 1371.7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the third derivative of q**4\/24 + q**2 + 256. Let p(t) = 273*t**2. Give i(p(m)).\nAnswer: 273*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 52.33466 microseconds?\nAnswer: 52334.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 AM and 4:53 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b**3 + 25*b**2 - b + 29. Let y(l) = l**3 + 24*l**2 - l + 29. Let f(t) = -2*o(t) + 3*y(t). Is f(21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9275*h**3*j**2 - 7*h*j + 3138*j**2 wrt h?\nAnswer: 55650*h*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) 54\/7 (c) -1\/3 (d) -11 (e) 1\/6 (f) 29 (g) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3304 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (77\/(-2))\/(-7) + 7\/(-14). Suppose -2*i - 5*s = -1840, o*i - 2005 - 2572 = -s. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4*1\/1)\/14. What is the fourth smallest value in -5, 4, 0, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4)\/(-6) + 7\/3. Suppose 0 = 4*s - 4*k - 68, s + 7*k - 2 = p*k. What is the remainder when 41 is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -38*d*f**2*q + 6*d*f**2 - d*f*q + 33*d*f + 12*f**3*q + 2*f**3 - 26*f*q - 2*q wrt f.\nAnswer: -76*d*q + 12*d + 72*f*q + 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -112 plus 6?\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00919130383 to 4 dps.\nAnswer: 0.0092","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3.25 and 289596.\nAnswer: 289592.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91, 205, 315, 421, 523, 621?\nAnswer: 715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.5 - 23. Which is the closest to 0? (a) -0.3 (b) z (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -283 - -1042. Does 69 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + 0. Suppose 2*b = -l*b. Suppose -4*i + b*i + 25 = -3*u, 3*u + 13 = i. Is u not equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*u + 12. Let w = 17 - 15. What is the third derivative of -3 - 2*l**w - 2*l**u + 3 wrt l?\nAnswer: -48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**4 - 43044*a**3 + 301486*a**2 + 1722120*a - 4305800 = 0. Calculate a.\nAnswer: -21529, -5, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1802 is divided by 12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of -h**4 + 104*h**3\/3 - 384*h**2 + 1152*h - 37. Factor l(c).\nAnswer: -4*(c - 12)**2*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of -l**6\/27 + 16*l**5\/45 + l**4\/2 - 2268. Factor a(b).\nAnswer: -2*b**3*(b - 9)*(b + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 42.995 + -42. Let u = -1 + v. Round u to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -i**3 - 7*i**2 + i. Let x(l) = l**3 + 7*l**2 - 2*l - 1. Let m(y) = -4*u(y) - 3*x(y). Let a = 12 + -17. Is m(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/73222 and 6\/5.\nAnswer: 366110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x = 136 + 179. Suppose 0 = -2*a - 4*l - 44, x = -2*a - 2*l - 3*l. Let j = a - -18. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.07 - -1.27. Let f = -99.8 + 101. Let k = h - f. Which is the smallest value? (a) k (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -30*i + 41*i - 4*i**3 - 10*i**2 - 1 - 2*i**3 + 5*i**3. Let m be f(-11). Let t be ((-5)\/2)\/((-5)\/(-10)). Put t, m, -7 in increasing order.\nAnswer: -7, t, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 4, 727\/10, 3 in descending order.\nAnswer: 727\/10, 4, 3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*l + 57057 - 56907 = 0. Calculate the least common multiple of l and 1699.\nAnswer: 10194","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.1 + -3. Suppose 7*j = -6 - 1. Let h = -4.05 - -0.05. Which is the closest to q? (a) j (b) -0.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**6\/60 - f**5\/10 + f**4\/12 - f**3 + 2*f**2 - 13. Calculate l(4).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1843249?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:36 AM and 5:20 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-1*1\/3). Suppose 96 = 5*l + 2*k - 4*k, 3*l = -x*k + 66. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nkbbnbnnkn. Give prob of sequence bnbk.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159, -312, -465?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -19 + (3 + 1 - 11) + -1 + 14.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.250412 rounded to two decimal places?\nAnswer: -10.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 142646 and 18032.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 2655512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -38 (base 9) to base 7\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-10)*20\/(-36)?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15, 29, 45, 57, 59, 45?\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -35139.3 and 0.1.\nAnswer: -3513.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 5\/2, 5\/3, 36, 2\/7?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 3*d + 5. Determine u(-2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r + 3*r + 124 - 122 - 33*r**3 - 7*r**3 to the form t + k*r + n*r**2 + c*r**3 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9785 - 5?\nAnswer: -4.0215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1546272337?\nAnswer: 1546272337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a millennium in months?\nAnswer: 34500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 121\/(-1 - 10) - 25.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2351*y**2 - 731*y**2 + 974*y**2 - 21*y**5 + 24382*y - 7*y**3 - 24382*y wrt y?\nAnswer: -1260*y**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -78525.024 to the nearest one thousand.\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j**3 - 2*j**3 + 5*j**3)*(3 - 5 + 1) + j**2 - j**2 - 2*j**3 - 1 - 4*j + 2*j**3 + 3*j - 4*j**3 as c*j**2 + q*j**3 + r*j + x and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 468429963 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6972, -7004, -7036, -7068?\n\"Answer: -32*f - 6940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/2*(-8)\/6. Let a = 27 - q. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 605*z**3 - 780405615*z**2 + 1277026155*z - 522419625 = 0.\nAnswer: 9\/11, 1289925","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.114, 756, 1?\nAnswer: -0.114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 93 - 2 - 56 - -26\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280*m + 4\/9*m**5 + 2954\/9*m**2 - 134\/9*m**4 + 72 + 944\/9*m**3 = 0. What is m?\nAnswer: -1, -1\/2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2792\/15 - 186. Let c = 593 - 596. What is the closest to u in 6, c, -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 7:35 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 133*i**3 - 13*i**2 - 6*i - 3. Calculate b(-1).\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/156, -0.1, -4 in ascending order.\nAnswer: -4, -0.1, -1\/156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3344055, -3344052, -3344049, -3344046?\nAnswer: -3344043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**3 - 4*j**2 - 6*j + 7. Let x(m) = 9*m**3 - 7*m**2 - 11*m + 13. Determine -11*n(o) + 6*x(o).\nAnswer: -o**3 + 2*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7280706 + 4.05\nAnswer: 7280710.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 21984?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19004, -19055, -19140, -19259, -19412?\nAnswer: -19599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of 7*c**6\/45 - 7*c**5\/120 - c**4\/6 + 5*c**2. Let u(b) be the second derivative of o(b). Is u(5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 6) to base 15.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in -0.7, -1, -1\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + 27*z**2 - 25*z - 27. Let d be o(26). Let u be (d\/3)\/(21\/(-6) - -4). Which is the nearest to u? (a) -4 (b) -68 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47 * -426.203.\nAnswer: -20031.541","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*k - 18 = -10*k - 2*i, -k - 7 = 3*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*t - 96 = 0, 2299 - 2242 = -5*n - 2*t for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 5081258128?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 966 + -945. Solve -a = -2*m + 4*a + l, 4*a = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 3570, 3576, 3594, 3630, 3690, 3780, 3906, 4074?\n\"Answer: n**3 - n + 3570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -5.2811?\nAnswer: -0.369677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 55460114 rounded to the nearest ten thousand?\nAnswer: 55460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000494097824 to 5 decimal places.\nAnswer: 0.00049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 19*z**2 + 2*z - 1. What are the prime factors of x(1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -5*j + 1. Let b(v) = v. Let p(n) = 2*b(n) + k(n). Let r be p(-9). Calculate the common denominator of (-4)\/18*434\/r and 35\/11.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20152, -19762, -19102, -18166, -16948, -15442, -13642?\n\"Answer: o**3 + 129*o**2 - 4*o - 20278","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8512.6 + 8510. Which is the closest to 2\/5? (a) 1\/5 (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 2*k = -60. Suppose -4*x - k - 5 = 0. Which is bigger: x or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.091 + 0.091. Let d = -9.4 - -9. Let j = -0.3 - d. Which is the closest to j? (a) t (b) 8 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -2*d. Let p be a(-1). What is the first derivative of 8*w**2 + p + 0 + 5 wrt w?\nAnswer: 16*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3.3*-4\nAnswer: -13.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 9*k + 10. Let o be l(10). Let r = o + -43. Is 19 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-325 + 325 - h**2)*(7 - 6 - 6).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 2 - 2)*(2*f + 3*f - 4*f)*(2 + 3 - 1)*(-4 + 2 - 1)*(-6 + 17 - 12).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 26 = 2*z. Suppose -3*v + 0*s + s + z = 0, -v = 2*s - 9. Suppose 0 = v*o - 3*t - 625, 2*t = o + 2*o - 374. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 6. What are the prime factors of n\/((-2)\/(-18)) + -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -45. Sort a, 1\/9, -1 in ascending order.\nAnswer: a, -1, 1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -68 or -67?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -273 - -36307\/133. Suppose 0*v = 2*v. Is c bigger than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6389060987 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 22*s**2 - 2*s - 33. Let x(m) = -88*m**2 + 9*m + 132. Let b(c) = 9*k(c) + 2*x(c). Differentiate b(g) wrt g.\nAnswer: 44*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ruzieurz. Give prob of sequence rei.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -6 + 3*s - 3*s + 3*s. Calculate the remainder when 11 is divided by v(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, -5, 1\/3.\nAnswer: -5, 1\/3, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 12176 = 5379. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-7\/5)\/g*g*g\/(g\/(g**(-5\/6)*g)))\/(((g*g\/(g\/(g**(-2)\/g)))\/g)\/g*g**(3\/4)\/g*g))**(-1\/11) assuming g is positive.\nAnswer: g**(-11\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101060936?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*d, 2*d = l + 312 + 645. Which is bigger: -966 or l?\nAnswer: -966","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 382 (base 13) in base 4?\nAnswer: 21211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33, -6, 2, -4, 0, -5.\nAnswer: -6, -5, -4, 0, 2, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-9)\/3*(-106)\/6. Suppose -2*l - m = -5*i, -4*i + l = -3*i - 13. Let o(p) = -2 + i + 2*p - 5*p. What is o(6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 149*i**5*w**2 + i**3*w**2 - 49*i**2 - 2*i*w**2 wrt i.\nAnswer: 8940*i**2*w**2 + 6*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -2626 greater than -2623?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1900\/8)\/5 + (-2)\/(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -338*s**3\/3 + 66*s**2 + s - 989. Find the second derivative of m(g) wrt g.\nAnswer: -676","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - 5. Let u be 8\/k - 6\/(-39). Put u, -2, 0.5 in decreasing order.\nAnswer: 0.5, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -265 - -264.6. Sort n, -0.05, -25 in ascending order.\nAnswer: -25, n, -0.05","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q - q + 2*q)*(1 - 2 + 0) + q + 0 + 0 + 12 - 12 - 5*q + (483*q + 780*q + 1685*q)*(2 + 0 + 0) in the form m + l*q and give l.\nAnswer: 5893","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 72 = 5*t, 5*t = -q + 26 - 2. Calculate the common denominator of 142\/8*q\/(-180) and (1 + -2)\/((-24)\/151).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34217845 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 582871631 <= 582871632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b = -2*g + 52, -4*g = -5*b + 7172 - 7100 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 40089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 0.6. Let h = 781\/5510 + -2\/95. Let k = h - -1\/232. Which is the nearest to -2? (a) 0.2 (b) k (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 + -2. Let t = -0.55 - -0.05. What is the nearest to 0.1 in t, b, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1016*h**3 + 2*h**2 - 2*h - 1. List the prime factors of g(1).\nAnswer: 5, 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28715784?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 2 m when three letters picked without replacement from mpjm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54*w + 21*w + 30*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 3:39 PM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 84590157 to the nearest 1000000.\nAnswer: 85000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 27513630 a multiple of 203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 200806569?\nAnswer: 3, 3541, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -3*x**3 - 7*x**2 - 7*x - 69. Let i(r) = r**3 + 3*r**2 + 3*r + 35. Calculate -7*i(z) - 3*k(z).\nAnswer: 2*z**3 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25\/10754 + 5427\/21508. Factor -1\/4*c**5 + 3\/4*c - 1\/2*c**2 - j - 1\/2*c**3 + 3\/4*c**4.\nAnswer: -(c - 1)**4*(c + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.113074901 rounded to five decimal places?\nAnswer: -1.11307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13 + 14.5. Which is the second smallest value? (a) 5 (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = u + 3*g, -g - g = -4. Let w be 49\/28 + (-3)\/u. Solve -2*v + 2 + w = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**2 + a + 35. What is l(0)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9136 + 9136.00001061. Round t to 4 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6289 - z + 6289 - 2*z**2)*(4*z**2 - z - 1 - 5*z**2 + 3).\nAnswer: 2*z**4 + 3*z**3 - 3*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 1231*h**2 + 45*h. Let g(j) = -1008188*j**2 - 36840*j. Determine -3*g(z) - 2456*r(z).\nAnswer: 1228*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -36390842, -36390840, -36390838, -36390836, -36390834?\nAnswer: -36390832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*f + q = 3*f + 6, -16*q = 3*f - 5*q + 30 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*j - 15*j - 1609710. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-6)*(-1 + 4). Suppose 0 = -p*r - r. Let d = -1 + 1.4. What is the nearest to r in 0.2, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12533 + 3412?\nAnswer: -5121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10197 - -44?\nAnswer: 10241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 178*i**3 - 13*i**2 + 13*i - 195. Is a(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + -19. Let y = -17.734 + -1.236. Let i = k - y. Is i greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: ((-126)\/72*40\/(-210)*-2)\/(5\/3)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41837910 * 2\nAnswer: -83675820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7192 is divided by 313?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1058402 is divided by 1068?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_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 k(d) = -d - 42. Let w be k(0). Let c = 44 + w. Suppose 12*z - 7294 = -c*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 4, g: 14}.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 18*o + 16. Give f(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.3? (a) 0 (b) 0.5 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d**2. Let m(z) = -16*z**2 - 11*z + 11. Let x(u) = -3*u**2 - 2*u + 2. Let t(j) = -4*m(j) + 22*x(j). Determine g(t(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -63.5 + 68. What is u rounded to 1 decimal place?\nAnswer: 4.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*1\/(-7))\/(6*(-56)\/168)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18481 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2328225 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 213 + 2?\nAnswer: 215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 986 and 116.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4813337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**5\/120 - 5*z**4\/24 + 2*z**3 - 1. Let w(k) be the third derivative of s(k). Let q(l) = -l + 4. Give -6*q(m) - 5*w(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1e7 (base 16) to base 10\nAnswer: -487","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109 + 76 = 5*h. Calculate the remainder when 147 is divided by h.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -17d4 (base 16) to base 5\nAnswer: -143400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.7 * 0.031.\nAnswer: -0.0217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*y - 5 = -5*a + 5, -5*y = -2*a + 10 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.214354496 + -0.2.\nAnswer: -0.414354496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 2:53 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.05 and -13226.7?\nAnswer: -661.335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -242, -0.4, -2\/9, 0.2.\nAnswer: -242, -0.4, -2\/9, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -9 + 13. Suppose -7*b - 194 = -250. Suppose 5*j = 0, 4*h + 2*j = -h. Solve h*f + m*f + b = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**1)**(4\/7)\/((v*v**(1\/3))\/(v*v\/((v**(-6)*v)\/v)*v)))**(-24) assuming v is positive.\nAnswer: v**(-1384\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*(y**(-2)*y)\/y)\/(y**5*y))\/(y*y**(2\/7))**15 assuming y is positive.\nAnswer: y**(-184\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12*7\/(6 + -20))\/((-6)\/(-8)). Put 0.2, o, 2.2 in ascending order.\nAnswer: o, 0.2, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*x - 807, -206*s = -204*s + 5*x - 391. What is the highest common divisor of s and 104?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302699854?\nAnswer: 2, 29, 53, 59, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 - -7. Suppose 0 = h*l - 0*g + 2*g - 18, -3*l + 18 = 3*g. Let d(m) = m + 1. Let p be d(1). Do l and p have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 84*d**2 - 692*d + 25. Calculate i(7).\nAnswer: -703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4052 + 4?\nAnswer: -4045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k, 2 f, and 1 g when four letters picked without replacement from {n: 7, g: 1, b: 1, f: 2, k: 8}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 452 = -28*l + 26*l. Let d = l + 17396\/77. Is d <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 46771*j + 1 - 46856*j + 0 to o + w*j and give w.\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t + 44 = 77. Solve -t*q - 4*x = -0*q + 11, -5 = x for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.0908*5\nAnswer: 5.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1852317 - -314?\nAnswer: 1852631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x + 9. Let d be -2 + 0\/2 + 8. Let p be r(d). Suppose 2*f - 28 = 4*n, 12 - p = -3*n. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the third derivative of 73*w**5\/6 - 18*w**2 - 26. Let n(i) = 3*i. Calculate u(n(d)).\nAnswer: 6570*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -3*p**3 - 7*p**2 - 9*p - 14. Calculate the smallest common multiple of i(-4) and 119.\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7747?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v = -4*a - 0*a - 1, 58*a - 54*a - 29 = -5*v for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20247699.\nAnswer: 3, 607, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 815 and 3456415.\nAnswer: 815","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -285982, -1143924, -2573828, -4575694, -7149522?\nAnswer: -10295312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -2*y - 5. Let o = 18 - 21. Let p be c(o). Solve -x = -2*x - p for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17 + 17*z + 17 to the form x*z + a and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-48)\/(-27)*1*(-144)\/32?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gghg when four letters picked without replacement from {h: 1, g: 12}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 845 + 2748*g - 355 - 2770*g to m + w*g and give w.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(68))**2 + sqrt(1377) + (sqrt(1377) + sqrt(1377)*-1 - sqrt(1377))**2.\nAnswer: 9*sqrt(17) + 1581","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -654 + 0*s + 4*s + 641. Calculate p(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(130)\/(sqrt(10) + -1*sqrt(10) - sqrt(10)) - (sqrt(78)\/sqrt(6) + -3))**2.\nAnswer: -12*sqrt(13) + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 287.19 - -15.61. Let m = -169 + d. What is m rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 + -13. Let w(o) = 3*o**2 - 1 - o**2 - 8. Let y(s) = -s**2 + 4. Let c(m) = a*y(m) + 4*w(m). Factor c(h).\nAnswer: -h**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 40 = 3*l - 3, 68*l - 37*l + 52 = -41*k + 33*l for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5033\/2076 + 4\/519. Let m = 904 - 5401\/6. Calculate the common denominator of u and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 149663 (base 14) to base 8.\nAnswer: 2571207","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + c + 3*c. Let l be (-182)\/42*(-3 - c). Calculate the highest common factor of 91 and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51*j**3 + 33990*j**2 - 5671323*j + 2661336.\nAnswer: -3*(j - 333)**2*(17*j - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 49\/(-14)*-3*2\/42.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - ((-54)\/30 - 1).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 373*b - 375*b + 47 = 0, 6*q = 5*b - 59 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 99347 a multiple of 72?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 435*l**2 - 16983*l + 3059075 wrt l?\nAnswer: 870*l - 16983","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.647253 to 0 dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + t + 4*t - 32 = 0, -3*h - 2*t = -24. Let o(n) = 7*n - 33. What is the remainder when 45 is divided by o(h)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2431 + 536 = -146*o + 631 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 1 + 9 = 0. Let p be (-38)\/(-4)*4\/q. Suppose 3*r + 4*y = p, 3*y = 6*r - 2*r - 17. Calculate the highest common factor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the first derivative of -7*o - 3\/2*o**2 + 2. Let s(u) = 2 + 0 + 2 + 2*u. Give -3*g(x) - 5*s(x).\nAnswer: -x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8615297 kilograms to grams.\nAnswer: 861.5297","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4120 + 400?\nAnswer: -3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 2514 + 13314 = 9*p. What is the highest common divisor of p and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 2 (b) -1\/6 (c) 0 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 13\/7, 2\/11, -0.3, 0.04, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32224009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.109 * 0.3.\nAnswer: 0.0327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/2)\/q*q*(((q\/((q\/(q**(-2\/9)\/q))\/q))\/q*q)\/q)\/q*q**(2\/9)*q\/(q\/(q\/((q**1\/q)\/q)*q))*q assuming q is positive.\nAnswer: q**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -a + 6. What is the remainder when 312 is divided by 1680\/(-32)*a\/1?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q**2 - 5*q + 6. Let s be m(2). Sort s, -3, 1, -6 in descending order.\nAnswer: s, 1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42 - -18. Let t = q - -37. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 135, 6, 4, 0.\nAnswer: 0, 4, 6, 135","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -1\/2, -0.083, 0.1, -13, 4\/3, -4\/11?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3.9, -1\/2, -17, -4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -39, -110, -249, -480, -827, -1314?\nAnswer: -1965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2143878?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00008271 to 5 decimal places.\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -7*o**5 - 9*o**4 - 7*o**3 + 5*o**5 - 22*o**2 + 24*o + 3*o**5 + 13*o**4 = 0.\nAnswer: -4, -3, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5770174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 341 = -a + 2*a, a + 69 = w. Calculate the least common multiple of 4 and w.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 12*s + 6*s - 8*s + 21*s to the form r + o*s and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 15*t**2 + 1. Let b be s(-1). Let j(q) = q**3 - 7*q**2 + 6*q. Let f be j(6). Let x be 2 - 0*(-2)\/4. Solve 6*l - x*l + b = f for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**2*h**3 - 443*f**2 + 2*f*h**3 + 6*f*h**2 wrt f?\nAnswer: -4*h**3 - 886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -3301, -6525, -9749?\n\"Answer: -3224*k - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g**2 - 2*g - 9. Let m(k) = 5*k**2 - 2*k - 8 + 0*k - k + 0*k. Let f(t) = 3*l(t) - 2*m(t). Let o(v) = -v**2 + 2. What is 2*f(r) + 11*o(r)?\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 4*c - 219. Let v(f) = f - 55. Give -2*k(z) + 9*v(z).\nAnswer: z - 57","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.6, -1\/3, -414.\nAnswer: -414, -1\/3, 0.1, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -293 - -300. Suppose 3 - 48 = -5*o. Suppose b + o = 4*b. Solve -2 - p = -3*u - 3*s, -b*u = -3*s - 15 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 9*b - 12*b. Let v be ((-36)\/7)\/b*-7. Solve 2*h + 14 = -v*g, 4*h + 22 = -h + 3*g for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 628944, 628947, 628952, 628959, 628968, 628979, 628992?\n\"Answer: t**2 + 628943","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -40. Let l be 2\/5 + g\/(-10). Suppose -4*o + l*c = -4, -c = -5*o + c + 5. Calculate the least common multiple of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6117908 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 16. Let q be j(-5). Calculate the highest common factor of q and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -12*s. Let p(j) = -22822*j**2 + 52*j. Give p(t(b)).\nAnswer: -3286368*b**2 - 624*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7182 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 + 1010?\nAnswer: 100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 4 + 21. Let m(l) = 30*l**2 - 29*l**2 + 7 - 15. Let t be m(3). Sort y, t, 3.\nAnswer: y, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -28, -1, -225 in descending order.\nAnswer: -1, -10, -28, -225","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 252079 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 332873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -109207 at most as big as -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -9.5 times -10\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2*(-1)\/(2\/(-6)). Let i(z) be the first derivative of -z**4\/2 - 4*z**3\/3 - 3*z**2\/2 - 5*z + 26. Is i(m) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5202*l**4\/5 - 55531146*l**3\/5 + 164369534*l**2\/5 + 6509914*l\/5 + 64032\/5 = 0.\nAnswer: -1\/51, 3, 10672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1204433 (base 5) in base 4?\nAnswer: -11133131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + 5*b - 15 = 0, -b - 12 + 5 = -4*m. Suppose -7*k = -2*k - u - 7, 3*u = 9. Suppose m*a = -k*a + 132. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -24.86 - 22.\nAnswer: -46.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -60 - -63. Let t(l) = l**3 - 2*l**2 - 3. Let u be t(h). Suppose -21 = -w - u. Solve 4*k - 5 = w for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 367826066*v - 33824003707259089.\nAnswer: -(v - 183913033)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lmlczmmmmcm?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -46? (a) 3 (b) -9 (c) 0.96\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8364 is divided by 1038.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -3*z**2 + 42*z - 580. Determine s(17).\nAnswer: -733","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6715 divided by 4.\nAnswer: 6715\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 252*t - 659. Does 57 divide l(22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 - (31 + -36)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 14 and 1409782?\nAnswer: 9868474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000345458 to five dps.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**(-5)\/f**11 assuming f is positive.\nAnswer: f**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 + 8*y - 9. Determine i(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 233 a factor of 38640953?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(11) - (-1 + sqrt(11)))*-3 - (sqrt(132)\/(sqrt(120)\/(-3*sqrt(10) + sqrt(10))))**2.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -3\/5, -1\/8, -1\/2.\nAnswer: -3\/5, -1\/2, -1\/8, 99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 4*o - 5*s - 38, 5*o - 2*s = 24. Suppose -o*g - 35 = -6*l + l, 3*l = -5*g + 21. Is l\/((-21)\/(-480)) - -3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 466721 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, -4, -1, -27, -24 in increasing order.\nAnswer: -27, -24, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3876\/34*(-6)\/4*(88\/24)\/(-11)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.134 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w - 5. Let y be s(5). Let j = y - -155. Let i = j - 117. Solve -c - 8 = -i for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 2, n: 4, u: 4, x: 1, y: 8}. Give prob of picking 3 u and 1 h.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -385934.46 rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s + 57. Suppose 52*b = 49*b + 30. What is the tens digit of g(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1202022000220 (base 3) in base 12?\nAnswer: -38a8b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -0.4 (b) 1\/2 (c) 0.4 (d) 0.22\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 61 (b) 5 (c) 0 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1525, 3049, 4575, 6103, 7633?\nAnswer: 9165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.11 + -0.19. Which is the closest to -0.1? (a) -3 (b) 0.02 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -711887, -711946, -712019, -712112, -712231?\n\"Answer: -j**3 - j**2 - 49*j - 711836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13.775248 and -5?\nAnswer: -68.87624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 104\/((-120)\/(-15)) + 817. What is the highest common factor of i and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/(-21) - (-30)\/9. What is the closest to -0.3 in j, -1\/4, -1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = 5*f + 50, -87*f + 28 = -4*r - 88*f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - 78*v - 785. Give k(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 304436202?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -15 (c) -1\/6724\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2690, -2687, -2682, -2675, -2666, -2655?\nAnswer: -2642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v**2 - 1. Let g(s) be the second derivative of s**2\/2 + s. Suppose z = -0*z + 1. What is z*i(w) + g(w)?\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o + 592 - 16 = 11*o for o.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(270)\/sqrt(6) - ((-4*sqrt(5))**2 + 4).\nAnswer: -84 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -17. Suppose -5*w - 20 = -15*w. Suppose -w*r = -4*z + 166, z + 4*r + r = 47. Calculate the remainder when z is divided by v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(78)\/(sqrt(6)*-1) - (sqrt(104)*1)\/sqrt(8) - ((-1*((sqrt(78) - (sqrt(78) + (sqrt(78) - 1*sqrt(78)))) + sqrt(78)))\/sqrt(6))**2)*2.\nAnswer: -26 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -5*z**3 + 5*z**2 + 5*z - 12. Let m(c) = -5*c**2 - 610 + c + 621 - 5*c + 4*c**3. Let s(y) = 6*m(y) + 5*v(y). Give s(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/(r\/r**(-2\/9)))**30)**(-8\/9))**(-9\/7) assuming r is positive.\nAnswer: r**(-160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 3:36 PM?\nAnswer: 3:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the first derivative of -3*z**4\/2 + 8*z**3\/3 + 319*z**2\/2 - 304. Find the second derivative of k(s) wrt s.\nAnswer: -36*s + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8\/2189 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 38 or 23097?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of -1\/28*z**4 + 2*z + 8\/21*z**3 + 1\/140*z**6 + 0 - 17\/420*z**5 + 1\/1470*z**7 + 192*z**2. Suppose u(t) = 0. What is t?\nAnswer: -8, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10*4\/(-48)*-6. Solve 4*d = 3*t + 2*t + 16, 0 = -l*t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 537463491 to the nearest integer?\nAnswer: 23183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/2 + (-5)\/10. Let d = 8 + k. Let 2 - 6*n**3 + 5*n**d - 2*n**2 + 3*n**3 - 2*n = 0. What is n?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1751463737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/52)\/(-19*385\/(-56430)).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 690\/(-690)*(-44)\/6\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*s**2 - 4694*s + 4694*s.\nAnswer: -17*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 132627 - 2?\nAnswer: 132625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 2*h = -9, 0*p - 5*h = 5*p - 30. What is the third derivative of -o**2 + 45*o**3 + 8 - p*o**2 - 18 wrt o?\nAnswer: 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -2*a - 2*d - 3, -3 = 5*a + d for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134053483 is divided by 58?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-628)\/7850*(-400)\/8\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 275312601 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/11, 0.5, -123, -0.01, 1\/6, -1476?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 AM and 11:38 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25782*b*y**2 + 44*b + 205*y wrt y?\nAnswer: 51564*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2056394?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1165516 and 92.\nAnswer: 26806868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 - (0 - (4 + 2))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = r - 4*q - 13, r + 1229 = -56*q + 7*q for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (55\/99)\/(5\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**2 + 9*t + 69. Calculate w(-5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1))**(-2\/25)*(h*h**5\/h*h)\/(h\/(h*h*h\/(h**(-3)\/h*h)*h)))\/((h**(-1)\/h)**(-38)*h**5*h*h\/(h*h\/(h\/h**2)*h)) assuming h is positive.\nAnswer: h**(-1673\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 12137?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a meter in millimeters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 543.022 centuries?\nAnswer: 54.3022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 67. Suppose 11*q - 3*j - 252 = a*q, 4*q + 2*j = 324. Is 11 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/45? (a) 1 (b) -0.3 (c) -421\/5 (d) 2 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - 2) + 36 + (-3 - 3 - -2) - 1?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/(-20) + 6\/15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2*n - n**2 - 5*n + 4*n + 8*n - 2. Let t be l(2). Let k be 6\/t - (-1)\/(-2). Solve 0*f = -f + 2*w - k, -2*f = -5*w for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, j: 2, s: 1, t: 1, m: 1, f: 1}. Give prob of sequence jef.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ydqdddydqqqddqd. Give prob of sequence dqqy.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**2 + 670. Let z(a) = -6*a. Give z(j(c)).\nAnswer: -6*c**2 - 4020","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o - v + 209, -3*v - 3 = -6*v. List the prime factors of o.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 - d. Let s(k) be the first derivative of -27*k**4\/4 + k**2\/2 - 30*k + 11. Let q(y) = -g(y) - s(y). Differentiate q(h) with respect to h.\nAnswer: 78*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3 + 2)\/(-5)*(-6)\/(-2). What is the closest to h in 0, -7, 2\/15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -981c3 - -2?\nAnswer: -981c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of 0*c**2 - 4\/3*c**3 + 3*c**4 - 28 + 0*c. What is the third derivative of p(t) wrt t?\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*s - 11928 = 327*s - 123*s for s.\nAnswer: -84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22265\/8 - -2783. What is the nearest to -2 in j, -1.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*x - 243*x**3 - 64*x + 60*x**3)*(0*x**2 + 2*x**2 - 3*x**2).\nAnswer: 183*x**5 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 82126 + -d?\nAnswer: 82119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (5*(-3*sqrt(72) + sqrt(72))*6)**2)*1.\nAnswer: 259198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bvbtinnigin. What is prob of picking 1 v, 1 i, and 2 b?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j + 80 = 2*j. Suppose 2*g - j = g. Let t(i) = -10*i**2 + 218*i + 64. Calculate the least common multiple of g and t(22).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2131193*b**2*c**3*p + 21*b**2*c*p**2 + 2*b*c**2*p**2 - 517*b + 84*c**3*p**2 + 8*c*p**2 - p**2 + 2*p wrt b?\nAnswer: 4262386*c**3*p + 42*c*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes after 9:02 AM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.055*6.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -483, -475, -455, -417, -355?\n\"Answer: q**3 + q - 485","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:48 AM and 3:13 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5964706.\nAnswer: 2, 11, 137, 1979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 17467, 69844, 157145, 279376, 436543, 628652, 855709, 1117720?\n\"Answer: f**3 + 17456*f**2 + 2*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from locmmlxlll. What is prob of sequence mmxl?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 205*d - 122 + 85*d - 50*d + 4*d.\nAnswer: 244*d - 122","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/21 + ((-304)\/9576)\/((-2)\/342) - -8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.54878 rounded to 2 decimal places?\nAnswer: -6.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + 1. Let z = -4004 - -4000. Which is the closest to r? (a) 0.5 (b) -2\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 plus 317470?\nAnswer: 317520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 60773138 times -2\nAnswer: -121546276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*t + 8 + 121*t**2 - 8 - t + 47*t**2 in the form d + g*t + f*t**2 and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/((-62 + 2)\/2580)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -517*s - 55. Let c(p) = 103*p + 16. Let l(d) = -27*d - 4. Let i(x) = 2*c(x) + 9*l(x). What is -55*i(n) + 4*m(n)?\nAnswer: -33*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -1343?\nAnswer: -82\/1343","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3870\/53 or -73?\nAnswer: -3870\/53","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6\/(-30) - (-112)\/10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89119 + 89167. Suppose c = -3*m + 6, -2*m = -c + m. Suppose 48 = c*x + 12. What is the greatest common divisor of r and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 8*s + 114. Let n be t(-14). Find the third derivative of -15*y**2 - 3 - y**5 - 2 + 5 - 2*y + 106*y**6 - 73*y**n wrt y.\nAnswer: 12720*y**3 - 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 19*j - 36. Let a be d(-12). Suppose -8*z + 7*z = -a. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 + 2*u - 11. Let o be b(3). Let l(a) = 0*a - a + 8*a + 3 - a. Let z be l(o). What is the greatest common factor of 297 and z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 124 a factor of 24552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 105, 119, 129, 135?\nAnswer: 137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2369980950 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -y**2 - 20*y - 57. What is f(-15)?\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -264 (base 13) to base 4\nAnswer: -12210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (30\/(-9))\/(2\/(-12)) is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**3 + 13*k**2 - 13*k - 18. Let o be z(12). Suppose g - 2*g - 24 = -n, 0 = -5*n - 25. Is g greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 5*h - 263. Let b be x(53). Sort -81, b, 4 in decreasing order.\nAnswer: 4, b, -81","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 5, z: 2, i: 4, j: 3, t: 5}. What is prob of picking 1 n and 1 z?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 4*t - 35. Calculate the smallest common multiple of t and (-3)\/(-33) + (-1974)\/(-66).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0*b**3 - 5*b**3 + 2*b**2 + 3*b**3 to x*b**3 + k*b**2 + v + o*b and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93456 and 1188?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -356, -647, -938?\nAnswer: -1229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 1. Let k(z) = z**2 + 9*z + 4. Let c be k(-6). Let t(w) be the third derivative of -w**5\/12 + 7*w**3\/6 + 5*w**2. What is c*i(v) - 2*t(v)?\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 3208050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*v, 103*v - 7324 = -4*h + 107*v. What are the prime factors of h?\nAnswer: 11, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aqo when three letters picked without replacement from aaqqbbqqxiqoaqb.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -m**2 + 8*m + 0*m**2 - 13*m - 3*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27741.4 - 1183.\nAnswer: -28924.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 948*g - 24561. What is m(26)?\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/4040 and -173\/15150.\nAnswer: 60600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -19.6998 and -3.97923.\nAnswer: -23.67903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 0.15, -0.2, 3\/5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 397959 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -3\/2, -1\/6, 0.07, 25, -15?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n**3 - 7*n**2 + 5*n - 7. Let s(g) be the first derivative of g**4\/4 + g**3 - g**2 + 3*g + 81. Let p be ((-2)\/1)\/(-2) - 8. What is p*s(h) - 3*x(h)?\nAnswer: -h**3 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 14*w - 18*w = -8, -5*w = 2*m + 4. Suppose -13 = -m*t + 131. Calculate the least common multiple of 18 and t.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185\/30*-2*-3*(-6)\/30*-5.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 - 6. Let j = q + 3. Suppose 2*s + 2 - 16 = 0. Let l(n) = n**3 - 6*n**2 - n. Let a(x) = -2*x**2. Calculate j*l(t) + s*a(t).\nAnswer: -2*t**3 - 2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -21, 99, 343, 753?\nAnswer: 1371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -5753 divided by 80426\nAnswer: -5753\/80426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5158, -21091, -47782, -85219, -133390, -192283, -261886, -342187?\nAnswer: -433174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.07 rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 8*m**2 + 24*m - 32. Let k(p) = -p**3 + 6*p**2 + 24*p - 32. Suppose -2*w = 154 - 158. Let t(v) = w*k(v) - 3*z(v). Find d such that t(d) = 0.\nAnswer: -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1555 - -17104?\nAnswer: 18660","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-0.0584.\nAnswer: 0.0584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 4161?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 144022?\nAnswer: -1\/72011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -120.335 from 0.074044.\nAnswer: 120.409044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2283 is divided by 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 2*k**2 - 6*k - 11. Calculate the remainder when 73 is divided by y(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(-2))\/(6\/80). Put -1, 2, 3, w in increasing order.\nAnswer: w, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -166473, -167582, -168691, -169800, -170909, -172018?\n\"Answer: -1109*b - 165364","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1311848381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w - 10 = 2*o, -o = -4*w - 17. Let g(z) = -3*z - 4. Let f be g(-3). What is the greatest common factor of o and f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-4*sqrt(931)*-2 - (-1 + (sqrt(931) - (1*sqrt(931) - sqrt(931)))**2)).\nAnswer: -168*sqrt(19) + 2790","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696733924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 2*f**2 - 105*f - 6. What is p(-11)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3192?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113062 is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**3 + 64*z**2 + 131*z + 66.\nAnswer: -(z - 66)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*d**3*h - 3*d**3 - 13*d**2*h - 2*d**2 - 14*d*h - 93*d - h + 150 wrt d.\nAnswer: 18*d*h - 18*d - 26*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 + 16*f + 2. Let x(u) = u**2 + u - 1. Let p(l) = m(l) - 6*x(l). Determine p(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*p + 36. Suppose -65 = -p*d - 47. Solve 5*t - 12 = -3*r, 4*t - 4 = r + d*t for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccsscccsssssccsscssc.\nAnswer: 42\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1301182 (base 10) in base 16?\nAnswer: 13dabe","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5 = 3*j, 3*j - 21 = 5*c + 2 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -363341*l**4 - 61*l**3 - 437206120*l**2.\nAnswer: -8720184*l - 366","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes after 3:43 AM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*k**3 - 3*k + 0*k**3 + 7*k**3.\nAnswer: -2*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v + 5, 0*y + 2*v - 19 = 3*y. Does 18 divide y + (4 - (0 + -17))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2 - 2. Let b(g) = -5*g**3 - 9*g**2 + 3*g - 1. Let m be b(-3). Suppose 0 = -t*z + 272 - m. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24506468 a multiple of 679?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5\/2 - 3)*-34. Suppose 3*i - 10 - 134 = 0. Let j = i - c. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -3*q**2 + 10*q + 1. Let c(n) = 7*n**2 - 21*n - 3. Let w(z) = -2*c(z) - 5*y(z). Give w(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1440 divided by -163.\nAnswer: -1440\/163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (48\/(-40))\/(6\/(-80)). Let z = -18 + a. Sort z, -3, -4 in ascending order.\nAnswer: -4, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.80534297 less than 0.16?\nAnswer: -11.64534297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 1477009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 * -0.129.\nAnswer: -0.0258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17, 5, 7, 0, -1024 in descending order.\nAnswer: 7, 5, 0, -17, -1024","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 1477 and 1478 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -3, -66911, -1, 11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1a01 (base 11) to base 5\nAnswer: 40132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0548 to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112621 a multiple of 786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = 2*k + 116. Let o = -135 - -168. Let r = k + o. Calculate the greatest common factor of 1 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -509, -6598, -23117, -55280, -108301, -187394, -297773?\nAnswer: -444652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (((sqrt(143)*2*5)\/((sqrt(165)\/sqrt(3) + sqrt(55))\/sqrt(5)))**2 - -4*(0 + (sqrt(1573) + -2 + sqrt(1573) + sqrt(13))**2)).\nAnswer: -368*sqrt(13) + 27850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100551 = 32*f + 7367. Suppose 6*a - 22*a = -f. What is the remainder when a is divided by 21?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*((-1)\/(-3))\/(24\/(-144))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13161, -13157, -13159, -13167, -13181, -13201?\n\"Answer: -3*t**2 + 13*t - 13171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1211871, -1211773, -1211609, -1211379, -1211083, -1210721?\nAnswer: -1210293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-861)\/1107*-1*30*(-144)\/1560.\nAnswer: -28\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 2 g when three letters picked without replacement from glygulygigluglg.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4954*-2.31\nAnswer: 11443.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.233 - 325.767. Let f = z + 326.4. Sort 2, -0.19, f, -1 in decreasing order.\nAnswer: 2, f, -0.19, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -269?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4887*z**3 + 12*z**2 + 336*z wrt z?\nAnswer: 29322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + 2)*5748\/5269. Factor 18\/11*v + j + 6\/11*v**2.\nAnswer: 6*(v + 1)*(v + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2427, 2409, 2387, 2367, 2355, 2357, 2379, 2427?\nAnswer: 2507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 105117026?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -150, -157, -174, -207, -262, -345?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qdnudeddu. What is prob of sequence eqn?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 8*c. Suppose -2*p + 70 = -c*p. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 3)*(-5 + 5 - 5*h) + 5 - 2*h - 4 + 1 in the form s + j*h and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 3*o + 20 = -1, 4*u = -o + 21. Let i = u - -6. Suppose 4*b - i = b. Does 4 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -8*d**2 + 2*d - 22. Let i(u) = -8*u**2 + 3*u - 21. Let c(n) = -3*a(n) + 2*i(n). Differentiate c(f) with respect to f.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19589127?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*z - 105 = 0, -44 = -2*d + 3*z + 7. Let i = 25 + 275. Let k = i - 294. Calculate the least common multiple of k and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128655853.2 seconds to weeks.\nAnswer: 212.724625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162611 is divided by 2008?\nAnswer: 1971","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -7, -3\/8, -54, -2\/15, 47?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 times -19?\nAnswer: -0.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0*x**3 + 0*x**4 + 1\/2*x**5 + 58*x**2 + 67*x + 0. Differentiate b(y) with respect to y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(-47)\/94*-16.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 16 = -u. List the prime factors of (29\/u)\/(1\/4).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2859604337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 33705?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2 - 1 - 7 + 7*r + r**2. Let l be w(-8). Suppose 30 + 0 = l*j. Solve 3*h = 2*a - 4*a + j, h + 6 = 3*a for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 2\/75 of a century?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/8)*w)\/(w*w**(-3)))\/(w**(2\/11)\/(w**0\/w)) assuming w is positive.\nAnswer: w**(149\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the third derivative of 1\/6*p**4 - 157*p**2 + 0*p**3 + 0*p + 0. What is a(-6)?\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 11\/133, 0.5, 0, -20, -0.3, -1\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.037 in 0.1, -12\/11, 0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -458\/5 + 91. Which is the smallest value? (a) 0.2 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -13\/11 + 791\/660. Is 1 bigger than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q**2 - 1\/3*q**3 - 3*q + 0 = 0. Calculate q.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 295*k - 157*k - 22*k**3 + 9*k**4 - 2*k**2 - 140*k as n*k**4 + d*k**3 + x*k**2 + y + p*k and give d.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11283*w**4 - 6750*w**2?\nAnswer: -270792*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u - 2 + 2)*(-3*u**3 - 2*u**3 + 4*u**3) - 34*u**4 - 23*u**4 - 22*u**4.\nAnswer: -81*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 404*a**2 + 88068*a - 859. What is p(-218)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-2)*(-151 + 0 + 3). Let g = 572 - n. What are the prime factors of g?\nAnswer: 2, 3, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -o**3 + 8*o**2 + 16*o - 10. Let l be v(11). Let u = -192 - l. Solve 3*g - 2*r - 12 = 0, -4*r - 2 = -u*g + 20 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -n - 3*s + 153, 0 = 4*n + 2*s - 318. What is the remainder when 404 is divided by n?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 261a35 (base 11) to base 12\nAnswer: 17a893","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -16*b**6 + 75*b**4 - b**3 - 30400*b**2?\nAnswer: -1920*b**3 + 1800*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 10\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -8\/3, -3, 1.2, 0.09, 3\/7, -4\/31?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 45*n + 208. Let v be x(40). Solve v*h + 5*o = 9*h + 15, -3*o - 14 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 103 = 177. Let i = 8 - 6. Let f(u) = 13*u + 3. What is the remainder when g is divided by f(i)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(91)*-1*2 - sqrt(91)) + (sqrt(91) - (5*(sqrt(91) - sqrt(91)*-2) - sqrt(91))))\/((sqrt(175) + sqrt(175)*2)*4))**2.\nAnswer: 208\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2496 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 4*p + 24298, 4*p + 184 = 204. What is the thousands digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1177736 bigger than 1177737?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -10. Suppose -4*p = v*p - 11. Solve 5 = -2*d - p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 70*x**2 - 10*x**6 + 27*x**6 + x + 20*x**6 wrt x.\nAnswer: 4440*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 975 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 117*w**2 + 45*w + 1135. What are the prime factors of v(-25)?\nAnswer: 5, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**6\/90 + 2*s**5\/15 - 23*s**4\/36 + 14*s**3\/9 - 2*s**2 - 2*s + 45. Determine a, given that y(a) = 0.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 482 - 446. Suppose p*j = 42*j - 179076. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273.377 + -0.377. Let z = l - 81. Let c = z - 192.161. Round c to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.17 (b) 1\/28 (c) 22 (d) 60\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -7*v + 0*v - 3 - v**2 - 7. Let i be g(-4). Solve 0*y = -i*y - 10 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 227\/5 - (-6)\/10. Suppose -n + w = n. Calculate the highest common factor of n and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8039, 16077, 24115, 32153?\nAnswer: 40191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes before 4:00 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 49 + a - a**2 + 471*a**4 - 51 + 0*a**2 - 3*a**3 + 0*a**2 - 474*a**4 in the form f + m*a + j*a**3 + h*a**2 + s*a**4 and give s.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5*q**2. Let i(y) = y + 1280. Give h(i(w)).\nAnswer: -5*w**2 - 12800*w - 8192000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**3*d**4 + 339*a**3*d**2 + 2*a**3 + 2*a*d**4 + 4*d**4 wrt d.\nAnswer: 48*a**3*d + 48*a*d + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36087, -72174, -108261?\nAnswer: -144348","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*s - 2)*(55*s - 29*s**2 - 29*s + 30*s**2).\nAnswer: 2*s**3 + 52*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 12*t + 117 = 1198, 5*r - 1042 = -t. Is r smaller than 229?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -32.7. Let k = d + 1.7. Which is the nearest to k? (a) 1 (b) 0.4 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*w + 6*w - 4*w - 2*w + 2*w - 2*w + (-2 + 2 + 2)*(-1 + 1 + 2*w).\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 67 + -76 + (-1 - -5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2449 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 13*w - 2*w**3 - 9*w**2 + 31 - 19 + 3*w**3. Let a be n(7). What is the remainder when 40 + (0\/(-1))\/a is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 0.3. Let r = -2640\/17 + 231978\/1547. Let z = -62\/13 - r. Which is the nearest to t? (a) -4 (b) z (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.04 + 0.05. Let q = -0.59 + k. Sort q, 0.3, 1\/8 in descending order.\nAnswer: 0.3, 1\/8, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 - 2*j**2)*((-160 + 48 - 48)*(-3*j + 2*j + 0*j) + (-2 - 1 + 2)*(2*j + 3*j - 3*j)).\nAnswer: -158*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*l + 184 = j, 3*j - 103 = 4*l. Solve -j*p - 20 = -51*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25627*n**2 + 13810*n wrt n.\nAnswer: 51254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -3*k**2 + 10*k - 17. Let h(z) = 3*z**3 + 44*z**2 + 30*z + 30. Let v be h(-14). Give s(v).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -8 - 4 - 5*a - a**2 + 12*a. Let b(w) = -221*w - 434. Let o be b(-2). Give g(o).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*x + 32, -4*x + 9 + 3 = 0. Let s = 42 + -23. What is the remainder when 53 - 2*(-6)\/o is divided by s?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.3*-6178.\nAnswer: 218083.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 9*a**3 + 4*a**2 - a + 13. Let l(r) = -34*r**3 - 18*r**2 + 5*r - 52. Let f(m) = 15*g(m) + 4*l(m). Determine f(-13).\nAnswer: 91","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -23230 - -23227. Which is the second smallest value? (a) 11 (b) 0.2 (c) 4 (d) -0.4 (e) i\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2516498 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j**2 - 11. Let y(x) = x**2 - 4. Let u(i) = 6*i + 145. Let v be u(-26). Give v*y(m) + 4*h(m).\nAnswer: 5*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4959 is divided by 497?\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 - 10*l**2 + 15*l + 9. Let x be m(8). Factor 1\/2*f - x + 1\/2*f**2.\nAnswer: (f - 1)*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/10*(-25)\/10. Suppose z*n = -n + 25. Suppose n*k + 2*b - 78 = -4, k = -2*b + 18. Calculate the remainder when 26 is divided by k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -80196*f**4 - 134392?\nAnswer: -320784*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -15493.06929 - -15493. Let f = s + 0.069. Round f to 4 dps.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**4\/4 - 8*g**3\/3 - 5*g + 1. Let o = -11 - -80. Let m = o + -77. What is p(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + -8 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -79 or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -20440 (base 5) to base 12\nAnswer: -962","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the third derivative of 0*b**5 - 5*b**2 + 0*b**6 - 2*b**3 + 0 - 1\/210*b**7 + 0*b + 0*b**4. What is the first derivative of w(i) wrt i?\nAnswer: -4*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6475801 decades in centuries?\nAnswer: 0.06475801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 162 + 156?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 7:19 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**3 - 91*q**2 + 515*q - 8379. Determine v(-52).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*z = -6 - 3. Suppose w = -2*i - 4*w + z, 0 = 3*i + 2*w + 15. Which is smaller: -54\/7 or i?\nAnswer: -54\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -312?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -1459*i**5\/4 - 5*i**4\/12 + 30*i**2 + 1392*i. Find the third derivative of r(n) wrt n.\nAnswer: -43770","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 0 (c) 3\/14 (d) 10\/87\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 76*q - 18. Let y be f(-4). Let d = y + 521. What are the prime factors of d?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36*b + 1\/3*b**3 - 6*b**2 - 72.\nAnswer: (b - 6)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -0*j - 22. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8081.29 litres?\nAnswer: 8081290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13888*p = -13876*p - 826356. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -4*s. Suppose -5*d = -7 - 3. Let g(t) = 2*t + 3*t**2 - 5*t**2 - d*t. Calculate p(g(l)).\nAnswer: 8*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**2 + 10*g - 21. Let p(r) = 8*r**2 - 30*r + 60. What is -14*k(t) - 5*p(t)?\nAnswer: 2*t**2 + 10*t - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3160\/161689 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.051, 17.921, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 + 4*j**2 + 541*j - 1621. Calculate s(3).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.5, -0.37, -3, 570, -2\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -2*f**3 - f**2 + 9*f + 7*f**2 + 10 + f**2 + f**3. Is r(8) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1.856971 kilometers?\nAnswer: 1856.971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 27. Let y be v(-16). Suppose -w - 20 = -0*w + 4*a, w - y*a + 20 = 0. Does 17 divide (-63)\/(-3)*w*(-2)\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -9. Let d(n) = n**2 + 6*n + 2. Let h be d(p). Suppose -5*y = -2*y + h*l - 94, 4*y - l = 118. What is the common denominator of 38\/5 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilogram in grams?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -938 - -913. Sort 6, -4, -3, g in increasing order.\nAnswer: g, -4, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (10\/(-20))\/((-1)\/10). Let o = 489 + -494. Sort x, -3, o, -4.\nAnswer: o, -4, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 9*j**2 + 12*j - 16. Let r be c(10). Suppose -1 - 5 = -z + 2*p, -4*p = r. Let m be (0 + z)\/(-5 + 11). Is 1\/3 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 less than -6.86889137?\nAnswer: -5.86889137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2005232221 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8238.0033997 - -8238. What is s rounded to 4 dps?\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7376066.528 + 1700?\nAnswer: 7377766.528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1832646, 1832644, 1832642?\n\"Answer: -2*x + 1832648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 12) to base 13.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e, 1 w, and 1 v when four letters picked without replacement from ewiviee.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the first derivative of w**5\/50 - 3*w**4\/20 + 13*w**3\/30 - 3*w**2\/5 + 2*w\/5 - 1311. Factor a(f).\nAnswer: (f - 2)**2*(f - 1)**2\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -125648178 <= -125648177?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -39274859 divided by -227\nAnswer: 173017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 56 = 2*m, 3*h = -0*m - 3*m + 66. Suppose i = m - 17. Calculate the smallest common multiple of i and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -87.7488438 to 2 dps.\nAnswer: -87.75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 617.165 + -616. What is u rounded to 2 dps?\nAnswer: 1.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -248506 = 1996*d + 40914 for d.\nAnswer: -145","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -54 + 61 - m + m - 8*m - m**2. Let n(s) = -2*s**2 - 11*s + 21. Let z(w) = -6*w**2 - 34*w + 62. Let i(x) = 17*n(x) - 6*z(x). Give 6*i(v) + 13*t(v).\nAnswer: -v**2 - 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 31 + 924\/(-30) - (1 + 789\/(-5)). Calculate the greatest common factor of j and 16799.\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 + -7 + 7 - 2. Solve p = -l + 1, -3 + s = -p + 3*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14103404?\nAnswer: 2, 7, 17, 29629","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-68*(-46)\/1173)\/(4\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 112*o**4 - 816*o**3 + 10292*o**2\/7 - 6984*o\/7 + 1620\/7 = 0. What is o?\nAnswer: 9\/14, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2274 - 18157\/8. What is the common denominator of -13\/6 and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = s**2 - 10*s - 3. Give j(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42783, 44017, 45251?\nAnswer: 46485","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1785 = 5*o - 5*w, -5*o = -3*w + 132 - 1917. Calculate the highest common factor of 21 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 323 + -103. What is z rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 2*p - 6. Let s(d) = -1. Let f(a) = 5*s(a) - t(a). Let m(x) be the first derivative of f(x). Differentiate m(i) with respect to i.\nAnswer: -6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15000 divided by 3000\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 401 - 5*u - 281*u**3 - 401.\nAnswer: -281*u**3 - 5*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - 46\/(-14). Let w = 4 - -31. Suppose -w + 16 = -u + 3*q, q = -c. What is the units digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18289751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + r + 60 = 2*r, -2*d + 40 = 5*r. Let w be (((-1284)\/(-9))\/4)\/(6\/90). Let o = w - 375. What is the highest common factor of d and o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*c = 6*c + 204. List the prime factors of c.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of 9\/20*t**5 + 0*t**2 + 0 + 69*t - 1\/6*t**4 + 7\/3*t**3. Find the third derivative of o(f) wrt f.\nAnswer: 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5022 rounded to two dps?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-16)\/96)\/((-3)\/126) + -3. Put -1, -40, q in descending order.\nAnswer: q, -1, -40","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 121030 - 0?\nAnswer: 121030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**3\/7 + 296*h**2\/7 - 1210*h\/7 + 912\/7 = 0.\nAnswer: -152, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13242230 (base 6) to base 9\nAnswer: -742140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - -5. Suppose 0 = -r - r + 10, -b = -5*a + r. Suppose 4*p - 5*f + 2 = 2*p, 32 = a*p - f. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -411, -406, -399, -390, -379, -366, -351?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 * -0.93081\nAnswer: 1.023891","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 109*o - 113*o + 40 = 0. Let y(n) = 3*n**2 + n. Let i be y(-1). Solve i*p = -0*p - o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -3, -1, -172.\nAnswer: -172, -4, -3, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 13*g**2 + 7*g + 5. Determine l(-2).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 + 5*j**2 + 5*j + 3. Let h be p(-4). Sort -2\/11, h, 2, -2\/3.\nAnswer: h, -2\/3, -2\/11, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -39*r. Let n(k) = -11*k. Let v(h) = -5*l(h) + 18*n(h). Let a(s) = -3*s + 10754 - 10754. Calculate v(a(w)).\nAnswer: 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3779522 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 929 (b) 4\/3 (c) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1533868700.\nAnswer: 2, 5, 7, 13, 73, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 - 21. Let h = 3315 + -3316. Let g(o) = o**2 + 2*o + 2. Let j be g(-2). What is the closest to j in -2\/17, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + (-19 - -8) + 0 + 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1144327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -15*z. Let p(t) = t**3 + 11*t**2 - 5*t - 10. Let n be p(-8). Let d(q) = n - 222 + q**2. Calculate d(r(j)).\nAnswer: 225*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 12636 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 + -1. Let x = -2.1 + j. Let u = 11 + -7. What is the second biggest value in x, -1\/3, u?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/391?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2102, -1 in descending order.\nAnswer: 2102, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7320 and 139470?\nAnswer: 34030680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-1\/4)\/(w*w*w\/(w**(4\/7)\/w))*(w\/(w\/w**(7\/2)))\/(w\/(w**(1\/12)\/w)))**(-7))**(-21) assuming w is positive.\nAnswer: w**(-308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46368 and 4704?\nAnswer: 324576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (44\/(-60))\/((50820\/(-144))\/385).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 11633236 a multiple of 2593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 u when three letters picked without replacement from uuqmmqmuumqqumubuuqu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h = 11*h - 9, 3*f + 5*h - 2262 = 0. What is the remainder when f is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/3000 and -91\/2976.\nAnswer: 372000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = 2*h + 34, 3*r - 2*h + 8 = -0*r. Let j(d) = -d - 1. Calculate j(r).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 - 3. Are 23 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2\/(-16) + -5 + (-6)\/(432\/(-172089)) and 2120?\nAnswer: 19080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/10 of a meter?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 24\/(-18)*9\/(-2). Let c(w) = 2*w**2 + x - 6*w + 4*w - 3. Give c(2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8601 and 1464.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 13 + 19 = 0. What is the lowest common multiple of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*b**3*n**2 + 2925233*b**3 - 156847*b**2 - 145*b*n**2 wrt b.\nAnswer: 30*n**2 + 17551398","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*r**3 - 5305045*r**2 + 21220100*r.\nAnswer: 5*r*(r - 1061005)*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.031 (b) 0 (c) -0.3 (d) -0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -437*i + 8528046 + 37831973 = 0. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -24 - 26640336?\nAnswer: -26640363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 91\/(-5) - (-15)\/75. Let j = -14 - g. Is 7 a factor of (-71)\/(-4) - (-1)\/j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a year in months?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23203 - -11?\nAnswer: -23132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 74620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2285805982 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - 54\/(-8))*-4. Let i(x) = x + 2. Let r(g) = -6*g - 10. Let t(c) = 11*i(c) + 2*r(c). Give t(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + p - 3*l = -9, -4*l + 22 = 3*p. Suppose p*v - v = 10. What is the third derivative of 4*a**v - a**5 - 6*a**5 + 2*a**2 + a**5 wrt a?\nAnswer: -360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 219165 is divided by 144?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from ffffffpfpff.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojjjjojjjjj. What is prob of picking 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 148 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 5 (c) 1 (d) 0.4 (e) -1\/4 (f) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o + 7*w - 21 - 27 - 108 = 0, 4*w - 90 = 2*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 31 - 28. Let p(h) be the third derivative of h**6\/720 - h**5\/20 - h**4\/24 + h**2. Let c(t) be the second derivative of p(t). What is c(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*o - 1545, 4*a + a - 2573 = 4*o. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1)\/(o**(2\/15)\/o))**(5\/2))**(-33) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/4)\/(2\/4). Let q = -1045 - -3109\/3. Find the common denominator of 6*(130\/54 + a) and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*c - 4*c - 40 = 0. Suppose c + 17 = -m. What is the tens digit of (-30)\/(-9)*(-105)\/m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8869 to the power of 1\/2, to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36\/181 - 8578\/1267. Find the common denominator of -57\/2 and p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -3, -4, 25, 2 in decreasing order.\nAnswer: 25, 2, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/4820718 and -73\/5187?\nAnswer: 62669334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 to the power of 1\/3, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.81 + -0.11. Let v = g + -0.7117. What is v rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -3*n - 1 - 2*n**2 + 0*n**2 + n. Let q(h) = -2*h**2 - h - 1. What is -3*q(b) + 2*r(b)?\nAnswer: 2*b**2 - b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9)\/(-3) + 3 - 0. Suppose 3*t - t = s. Solve -2*l - 5*u - 8 = 0, 0 = l + t*u + 5 - 1 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 2*o**2 - o. Let p be a(-1). Suppose 4*n - 2*q + 26 + 2 = p, 57 = -5*n - 3*q. Put -1, 3, -2, n in descending order.\nAnswer: 3, -1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 8*i - 3. Let h(q) = -3*q**2 + 8*q + 4. Let f(l) = 3*h(l) + 4*v(l). Let m be f(-8). Let x be 100\/(-6)*30\/(-25). Solve m = -4*u - u + x for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of 43*g**2\/2 + 61. Let l(c) = 9*c**2. Give r(l(j)).\nAnswer: 387*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.8 + -0.4. Let d = -8 + 7.94. Let a be 4 + (0 - (-54)\/(-15)). What is the nearest to a in r, d, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 497*q - 6419 - 5471 = -166*q + 11978 for q.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00028976333 rounded to six dps?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes after 6:37 PM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 213 is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 112 + 1074*o**2 - 291 + 180 - 2*o in the form k + f*o + g*o**2 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l. Let r(i) = -4*i. Suppose -4*g - 27 = -5*c - 4, -c + 4*g = -11. Calculate c*r(t) - 7*z(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29829828 or -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 177 + -124. Let w = h - 211\/4. Let l = -2.2 + 2. Is w not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 98? (a) 3\/5 (b) -2 (c) -0.5 (d) -72 (e) 1\/2 (f) -70\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/7, 10, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12533471 and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/655535 - -248316652\/1966605. Let i = w + -416\/3. Let f = 5611\/3 + -1851. Find the common denominator of f and i.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 y when three letters picked without replacement from pxxxpxypwyyydxy.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1\/4 (b) -8 (c) 453\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 4*u**2. Let s(b) = 304*b**2 + 312*b**2 - 615*b**2. Calculate v(s(a)).\nAnswer: 4*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 b, and 2 t when four letters picked without replacement from {j: 5, d: 3, x: 2, t: 3, b: 5}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.0129 - 0.012814. Round j to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3385745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 1\/5, -2\/37, -48 in ascending order.\nAnswer: -48, -2\/37, 1\/5, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 2*v. Suppose 9*j - 18*j = -1287. Let u(b) = 287*b**2 - 102*b**2 - j*b**2. Calculate u(a(w)).\nAnswer: 168*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16759?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 130*d**3 + 3*d**2 - 3*d + d - d**2 + 8534 + 1077*d**3 - 8536 to p + r*d + q*d**2 + u*d**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*x**2 + 12*x**3 + 2 + 3*x**4 + 4*x + 30*x + 0*x**4 - 14*x**3 - 3 as i*x**3 + p*x + r*x**2 + o*x**4 + t and give p.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -27? (a) -5 (b) -2 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 3186801.969 to the nearest one hundred thousand.\nAnswer: 3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -d**2 + 9*d + 1. Let l be x(8). Let w = l + -9. Solve w*s = -5*s + 5 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 10, 26882 in increasing order.\nAnswer: 1, 10, 26882","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -119b (base 15) to base 14\nAnswer: -1518","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*u + 714476 = -488546. Suppose -51*k + 9457 = -u. List the prime factors of k.\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-15)*6)\/((-3)\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-54)\/(-10) - (-66)\/(-165). Solve -3*w + 5*x = 0, -7*x + 3*x = -a*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 3 = 2. Suppose y - 2 = i. Let c be 8 + 2 + (0 - 1). Solve -2*u - 7 = y, s + c = -u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-165)\/(-42) - 4)*-4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6015313.\nAnswer: 43, 139891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 97 and 41225?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 273 - 254. What is the third derivative of l*m + 270*m**6 - 66*m - 56*m**2 + 2*m**5 - 2 + 21*m + 26*m wrt m?\nAnswer: 32400*m**3 + 120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2054 divided by 1027?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 4*s**5\/3 - 80*s**4\/3 - 49*s**3 + 7261*s**2\/3 - 7112*s\/3 + 588 = 0.\nAnswer: -9, 1\/2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4713643?\nAnswer: 11, 23, 31, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3550026.\nAnswer: -10650078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 92\/24193?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -89 - 35 + 4 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 57634 divided by -29?\nAnswer: -57634\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 - -21. Let t = -264 + 268. Solve -s - 8 = t*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.0462 - 0.5462. Let j = 13.9 + -14. What is the closest to j in p, -4, 4\/13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*j = -4708 - 671 - 2717. Let a be (6\/(-5))\/(3\/(-15)). Suppose o + a = 23. Calculate the remainder when j is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1999830?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1894462 is divided by 1056.\nAnswer: 1054","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that -15*z**5 - 575*z**4 + 9035*z**3 - 33105*z**2 + 15480*z + 9180 = 0.\nAnswer: -51, -1\/3, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 5*i + 10*i + 16 = 0, 5*o = -i + 1. Let b(w) = -2*w + 5*w - 1 - 3*w + 350*w**2 + 2*w - 346*w**2. Determine b(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 142 - 186. Let p = v + 44.1. Which is the second smallest value? (a) -26 (b) -4 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:34 AM and 11:39 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c - 212 = -37 + 35 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10312567 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, 39 in ascending order.\nAnswer: 0, 5, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 43, 95, 161, 247, 359, 503, 685, 911?\nAnswer: 1187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -71600662 to the nearest 1000000.\nAnswer: -72000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -63b27 (base 15) to base 12\nAnswer: -133117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -62*l**2 - 16607*l - 12679215 wrt l?\nAnswer: -124*l - 16607","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -2*z**3 - z**2 + 2*z + 38. Let j(q) = -4*q**3 - 2*q**2 + 4*q + 70. What is -6*j(u) + 11*l(u)?\nAnswer: 2*u**3 + u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5206 + 4879. What is the second smallest value in -0.3, r, 4, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is h in h**3 - 111*h**2 - 340*h - 228 = 0?\nAnswer: -2, -1, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/10 + (-2)\/10. Let n(f) be the second derivative of -4*f + z*f**2 + 1\/2*f**3 + 0. Determine n(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474981.5 litres in millilitres?\nAnswer: 474981500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-17934)\/(-15372))\/(-7*2\/6).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 315 and 25619755?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/15 (b) -2 (c) -166 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/2)\/((-35)\/(-4) - -1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3286 is divided by 468?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -77312.933 to the nearest 100.\nAnswer: -77300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the second derivative of -k**3\/3 + 2093*k. Let b(t) = 10*t - 2. Determine m(b(n)).\nAnswer: -20*n + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from lqqwwwqwqwqwwwwwwq.\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104\/91 + (-102)\/(-21) - -12444?\nAnswer: 2, 3, 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2723?\nAnswer: 7, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/11202 and 89\/18670.\nAnswer: 56010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (((-1 + sqrt(2299))*-3)**2 - sqrt(2299)))*-6 + (-2 + ((1 + sqrt(2299))*-6 - (sqrt(2299) - (sqrt(2299)*2 + sqrt(2299) - sqrt(2299))*-4)))**2.\nAnswer: 3894*sqrt(19) + 393151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -17.50246 to 2 decimal places.\nAnswer: -17.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 10380.217\nAnswer: -41520.868","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13756?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 7065137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 244 and 563762?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*b + 0*b + b)*(-17*b**2 - b**4 + 3*b**4 + 16*b**2).\nAnswer: -2*b**5 + b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(12)\/(sqrt(24)\/sqrt(4)) + (sqrt(128)*1*-6 - sqrt(128))**2.\nAnswer: sqrt(2) + 6273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 9, 23, 43, 63, 77?\n\"Answer: -u**3 + 9*u**2 - 6*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 28663458?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6.2 in 22, 1, 0.2, -1\/8, -4, -1\/115?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 3 = -p. Suppose 0 = r + p*r. Suppose -a = -0*a - 4*m + 1, -5*a - 5*m + 20 = r. Solve 2*y + 23 = -5*x, a*x = -0*x - 2*y - 17 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -57 in 5, -19, -118892?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 162\/7 - 34\/7*o**2 + 18*o + 2\/7*o**3.\nAnswer: 2*(o - 9)**2*(o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k**3 - 15*k**2 + 11*k - 21. Let y be i(7). Solve 3*p = -5*o + 20 + y, 5*p - 26 = -2*o for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 1 + 28 = 0. Let s = p - 10. Let f be -3 - s\/(1\/(-1)). Let m(c) = c**3 + 4*c**2 - 2*c - 2. What is m(f)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1035 take away -65.36?\nAnswer: -969.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-2))**18*b**(1\/13)\/b**(-6) assuming b is positive.\nAnswer: b**(-389\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -109, 0, -2927, 1, 2 in increasing order.\nAnswer: -2927, -109, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -5*z**4\/4 + 2015*z**3\/2 + 258935*z**2\/4 + 187130*z + 123405 = 0.\nAnswer: -57, -2, -1, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3174 + -3179. What is the fourth smallest value in 19\/2, 2, -1, y?\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 21700 = 5*p - 11023, -2*f + 3*p = 65432. Round f to the nearest one thousand.\nAnswer: -33000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 0*h = -4*h + 30, -g = h + 3. Let v = g - -59. Suppose -4*b + 68 = -v. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17535, -35076, -52617, -70158, -87699, -105240?\nAnswer: -122781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pomwggogoooo. Give prob of sequence pp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 4 = 2*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.3 or -678?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*r**5 + 16*r**4 - 316*r**3 - 1000*r**2 + 6384*r + 14112 = 0. Calculate r.\nAnswer: -7, -2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*k - 9*k - 8*k)*(-6*k + 0*k + 32*k).\nAnswer: -364*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-14\/11)\/d)\/d)**(4\/25) assuming d is positive.\nAnswer: d**(-144\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -27279*d - 1172998. Determine f(-43).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from vvll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k + 3. Let g(m) = 1. Let t(h) = 2*g(h) - r(h). Find the first derivative of t(x) wrt x.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j - 5. Let h(q) = -q**3 + 14*q**2 + 5*q. Let v be h(14). Suppose -8*w - 2*w = -v. Give o(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5.1 - -5. Let r = 0.2 - 3.2. Which is smaller: w or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4224 and 85264512?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + c = 23, 2*d - 3*d = 3*c - 13. Let u be 5\/(-50)*4*(9 - -1). Sort 3, u, d in decreasing order.\nAnswer: d, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 398322 and 558.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 y, and 1 v when three letters picked without replacement from {l: 5, w: 3, s: 1, v: 3, m: 1, y: 6}?\nAnswer: 18\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d - 3*a = 904, d + 186 = 2*a. Let x = 293 + d. Suppose 4*t - x = -5*o, -t - o + 4 = -25. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of -y**5\/20 - y**4\/12 + y**3\/3 + 3*y. Solve m(k) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0 (b) -697 (c) 5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hfehtthtthhehhfhthht. What is prob of picking 2 t and 1 e?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/10 (b) -0.047 (c) -1\/5 (d) 43.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 11:23 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 6. Let i be v(-4). What is the units digit of i*4\/((-24)\/87)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22082.\nAnswer: 2, 61, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -3*f + 8550, 3*f + 1093 - 9643 = -a. Round f to the nearest one thousand.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (a + 5*a - 7*a)*(-50*a - 17 + 9 + 8) as n*a**2 + b*a + q and give n.\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3423326m to micrometers.\nAnswer: 342332.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153) - 1*sqrt(153)*-5 - sqrt(153)*-2*1) + 4 + 5)**2.\nAnswer: 432*sqrt(17) + 9873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -38494714*j. Let w(r) = -3*r. Calculate x(w(n)).\nAnswer: 115484142*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k + 3*x = -10, -126*k - x = -123*k + 15 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/11 (b) -5 (c) -0.7 (d) -1813 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83030, -83031, -83032?\nAnswer: -83033","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(((sqrt(500) - 2*sqrt(500)) + sqrt(500) + sqrt(500) - sqrt(500)) + 2) + -3)**2.\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3390*s = 613*s + 172129 for s.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11132962 to the power of 1\/3, to the nearest integer?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in -4, -0.109, -8?\nAnswer: -0.109","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 20, 446, 1280, 2522?\n\"Answer: 204*d**2 - 186*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -141 divided by -47\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1082, -1094, -1108, -1118, -1118, -1102, -1064, -998?\nAnswer: -898","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + ((-2)\/(-4))\/((-8)\/32)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 624 minutes after 2:36 AM?\nAnswer: 1:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 19.6 in 0, 1011, 4\/3, -1\/6, 0.3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 - 6*r - 3. Let g be y(-4). Factor 8*t - t**3 - 1 + 3 - 2*t**2 - 3*t + g*t**2 - t**4.\nAnswer: -(t - 2)*(t + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 4*g + 47 = 4*b, -4*g - 5*b - 13 = 0. Is g\/((-3)\/6*2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 0 (b) -16 (c) 62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 6:04 AM?\nAnswer: 6:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*y - 33 = -162*y. Suppose 2*r - 1949 = 4*u - 24965, 2*r = -y*u + 17269. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-three fifths of a minute in seconds?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*n*z**4 - n*z**3 - 15*n*z**2 + n - 7*z**6 - z**2 wrt z.\nAnswer: 72*n*z - 6*n - 840*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 PM and 11:49 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-4) + (-187733)\/208. Let u = h + 902. What is the common denominator of u and -23\/6?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3)*(-3)\/6. Suppose m*f + 2*s = -2*f, 0 = -2*f - 3*s - 2. Let k(r) = -8*r - 3 - 2 + 4*r - f*r. Let d(n) = n + 1. Calculate -5*d(q) - k(q).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eelqeqev. What is prob of sequence veq?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45, -28, 1, 48, 119, 220?\nAnswer: 357","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 356 and 267?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 4, -32, 5 in descending order.\nAnswer: 5, 4, -4, -6, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 5*j - 18. Let b(q) = -1. Let w(g) = b(g) + u(g). Suppose -10 = -2*h, -v - 4*h - 3 = -37. Calculate the remainder when w(12) is divided by v.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 794.\nAnswer: 2, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + 3*w - 3 = -4*r, 3*r - 5*w = -5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) -245044 (c) -1\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w + 5*a + 9 = 0, w - 56*a + 21*a = 33 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k + 2*k**2 + k)*(-2*k**2 + 0*k**2 + k**2) + (0*k + 4*k - 2*k)*(-13 + 13 - 5*k**3).\nAnswer: -12*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 332, -0.1 in descending order.\nAnswer: 332, 0.5, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-154)\/(-35) + -4)\/(2\/(-320)). Let x = -53 - t. Suppose 275 = -3*a + 8*a. Calculate the highest common divisor of x and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q, 1 p, and 1 m when four letters picked without replacement from sssqpssmpmsqm?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*21\/12 - -17. Solve 0 = -m*p - 24 + 4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 - 1058*l + 181892. Calculate n(216).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/3590 + -19801\/201040. What is the common denominator of o and -79\/22?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57530?\nAnswer: 2, 5, 11, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 9.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 21*j + 8. Find the first derivative of -2 - p - 6*p**3 + p + j*p**3 wrt p.\nAnswer: -12*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, y: 1, p: 4, q: 10, s: 3}. Give prob of sequence yq.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the second derivative of -f**4\/12 - f**3 - 3*f**2\/2 + 2*f. Let h(g) = -g**3 + 5*g**2 + 4*g - 6. What is the remainder when h(5) is divided by p(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15*8\/((-800)\/(-60))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -112982 + 1370153\/12. Let n = z - 1196. What is the common denominator of 81\/20 and n?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2589088?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6 + 7 - 4)*(-j**3 - j**3 + 0*j**3) - 2*j**3 + j**3 - 2*j**3 in the form p*j**3 + l + k*j**2 + v*j and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -176, -9\/100, -2\/17 in decreasing order.\nAnswer: -9\/100, -2\/17, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 3*r**2 - 12*r - 15. What is d(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/22 and -83\/2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -3, -132, -261, -390?\n\"Answer: -129*i + 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 4791*u - 852776. Determine r(178).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.5 - -2.4. Let f = h + -1.4. Which is the third smallest value? (a) -5 (b) f (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1 - -1. Suppose r*y = y. Solve -l + 4 = -y*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - g. Let m(r) = -r**3 + 6*r**2 - r + 8. Let p be m(6). Let b be j(p). Solve -2*k - 7 = -3*u, 9*u = -b*k + 4*u + 1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-25 - (-1408)\/55)*4.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-476)\/(-77) + 2*6\/(-66). Is 35 a factor of (-1060)\/795 + (5468\/f - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 368717.3 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/9? (a) -0.4 (b) 2\/15 (c) -245 (d) 1\/3 (e) 32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1620 and 300?\nAnswer: 8100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, -4, -2, 8, 1, -1 in descending order.\nAnswer: 8, 1, -1, -2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -21*m**3 + 74*m**3 + 2*m**2 - 2*m**4 + 2 - 5*m**3 - 21*m**3 - 3*m + 6*m to the form w*m**2 + n + h*m**4 + d*m + z*m**3 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 428.7787us in milliseconds?\nAnswer: 0.4287787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -187, -1398, -4675, -11050, -21555?\n\"Answer: -172*h**3 - h**2 - 4*h - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j = -8. Suppose -j*o - 4 = -14, 0 = 2*x + 2*o + 2. Let b = -1 - x. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47110 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 26 = -16*o + 18*o, -4*o + 46 = -s. Let v(t) = -t**3 + 6*t**2 + 68*t + 19. Let f be v(o). Put 0.1, -3\/7, 4, f in decreasing order.\nAnswer: 4, 0.1, -3\/7, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.22 or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, g: 2, v: 1, k: 1}. Give prob of sequence vk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1944350516?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) - sqrt(117)*5)*2.\nAnswer: -28*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -8*x**2 + 2*x. Let w(c) = 7*c**2 - c. Let g(b) = 5*w(b) + 4*z(b). Factor g(y).\nAnswer: 3*y*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -6 - -2258?\nAnswer: 2252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110 + 1100?\nAnswer: 10010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(8)*-2*-1).\nAnswer: sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 + 10*w**2 + 13*w + 15. Suppose 104*v = 113*v + 81. Calculate i(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 56624039?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 453*-7537\nAnswer: -3414261","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -175793889*g**4*m**2 - m**2 + 183740106*m wrt g?\nAnswer: -703175556*g**3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -642 by -5.\nAnswer: 642\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -175 divided by 3?\nAnswer: -175\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -109 + 124 + -15 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11813104, -11813102, -11813100?\nAnswer: -11813098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -12*h**5 + 75*h**4 - 114*h**3 + 51*h**2 = 0.\nAnswer: 0, 1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -25.7 + 27. Let g = 1.2984 - b. Round g to 3 decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/7 + 814107092*d\/7 - 82846294655587058\/7.\nAnswer: -2*(d - 203526773)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 49*z**2 - 5*z + 6. Suppose 3*b = -5 - 13. Let m(q) = -q**2 - 6*q + 1. Let t be m(b). Calculate the remainder when l(t) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 4*s**2 - 320*s + 30. Let j(c) = -698*c. Calculate j(d(y)).\nAnswer: -2792*y**2 + 223360*y - 20940","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(1\/9))**(-16)*x**12*x**12)**49 assuming x is positive.\nAnswer: x**(9800\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - 0.8. What is the second smallest value in b, -3\/5, 2\/3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.6, -3\/4, -0.1, 2\/33?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**2 - 5*t + 1. Let j be k(-3). Suppose -j*q + 754 = -5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-1))\/4*(-252)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -146510 divided by 637.\nAnswer: -230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hjs when three letters picked without replacement from jhhjs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p**3 + 30*p**2 - 30*p**2.\nAnswer: 4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t + 11*t + 6*t + (-2*t - t + 5*t)*(-1 - 1 + 0) + 0 - 2*t + 0)*(-4 + 0 + 1).\nAnswer: -45*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19.27 * -9.\nAnswer: 173.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4, 2, 1, 2\/5783, -0.4, -14, -43\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(65) - (sqrt(65) + 2*sqrt(65)*4 + sqrt(65) - sqrt(65)))*1)\/((sqrt(6000) + 2*sqrt(6000))\/sqrt(12)).\nAnswer: -4*sqrt(13)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + -2 - -3)\/(17 - (33 + -14))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5 + 9. Suppose -3 = -h*g + 5*z, 0*g + 18 = -g + 5*z. Let r = g - 10. Sort -4, r, 0, 4 in decreasing order.\nAnswer: 4, 0, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0361 and 0.094.\nAnswer: 0.0033934","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1771 = -416*x + 2155 + 3146. Let u(k) = k**2 + k. Let p = 1 - 7. What is the remainder when u(p) is divided by x?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the third derivative of j**8\/1120 - j**6\/360 + j**4\/4 + 5*j**2. Let v(o) be the second derivative of t(o). Find the second derivative of v(g) wrt g.\nAnswer: 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 174308?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1941 divided by 12108.\nAnswer: 647\/4036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 89829033?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -f**2 + 9*f - 28. What is w(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-27)\/(a**37*a)*((a\/(a\/a**(-1)*a))\/a)**19)**(-38) assuming a is positive.\nAnswer: a**4636","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2)\/(-4) - -256. Let p = b - -338. Suppose 3*j + 2*j - 743 = -3*o, o - p = -4*j. 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: Calculate (5 - 11 - -8) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 256 - 65. What is the remainder when g is divided by 40?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 5*v = 0, -3*v + 2 - 1 = -2*o. Let b = -1.38 - -0.98. Sort o, 0, b, 0.1 in decreasing order.\nAnswer: o, 0.1, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-1 - 76\/(-12)) + (-2)\/(-3). Let z(t) = u*t - t - 5 + 0 + 2. Calculate the remainder when 47 is divided by z(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 479.4788kg to nanograms.\nAnswer: 479478800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 9:44 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4015983?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1309987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12*6\/(-36)*(-2)\/(-7). Is 2 at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 63*c**2 - 47*c - 50. List the prime factors of k(-7).\nAnswer: 2, 3, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 276 + 2453. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 8*l**3 - l**2 - l + 2. Give a(2).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13 - (-340025)\/35 - (-10 - 0).\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 1908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 3. Suppose -2*q + 4 + 28 = 0. Calculate the remainder when q is divided by z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -9*c + 3*c**2 + 16*c - 10*c + 1 + 2 + c**3. Calculate w(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 36*a + 482. Calculate p(-14).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3580861?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 384?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11313 (base 9) to base 12\nAnswer: 4449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) be the first derivative of -13*t**4\/12 + 4*t**2 + 7*t - 73. Let a(g) be the second derivative of h(g). Let r(s) = 4*s**2. Determine r(a(b)).\nAnswer: 2704*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(243)*5)\/sqrt(9).\nAnswer: 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13559, 27112, 40665, 54218, 67771?\nAnswer: 81324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes before 7:40 PM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 489882 and 3184233.\nAnswer: 6368466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 4*s - 404. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235*k - 68 = 233*k - 4*z, -4*k = -3*z - 48. What is the lowest common multiple of ((-6)\/(-2))\/(3\/12) and k?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -101, -113, -133, -161, -197, -241, -293?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**2 + 8*f + 3. Let n be u(8). What is the third derivative of n*a**2 + 6*a**6 + a**2 - a**6 - a**6 wrt a?\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*r - 296 = -52*r. Suppose z = v - r, 20*v - 1180 = 16*v + 2*z. Does 49 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1670 or 1665?\nAnswer: 1665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-25)\/((-3250)\/(-195)))\/(1*1\/14)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 PM and 10:32 AM?\nAnswer: 655","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -6272466.85 to the nearest 10000.\nAnswer: -6270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = p. Let j(o) = 5 - 14*o - 5 + 16*o. Let r(f) = 5*j(f) - 8*q(f). Let i(x) = 2*x. What is r(i(a))?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*v**2 - v**4 + 2*v + v**2 + 0*v**4 - 3*v**3 + 5*v**2 to g*v**2 + j + r*v**3 + f*v**4 + h*v and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.276 + 4.2. Let h = 0.066 + b. Put h, -1\/4, 3\/4 in decreasing order.\nAnswer: 3\/4, h, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v. Let p(u) = 368052*u**2. What is k(p(c))?\nAnswer: 736104*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = 0, 5*x + 6 = -2*s - 5. Which is the second smallest value? (a) -28 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2 = -n. Let t(f) = f**3 + 2*f**2 - 1. Let q be t(n). Suppose -a - 2 = -0. Is a at least q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -2*m - 4*a, -7*m = -11*m - 3*a + 24 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 75 - 70. Suppose a*l = 3*q - 11, 2*l - 5 = -5*q + 3. Suppose 2*b + q*b - 4*d = 0, 5*d = 3*b + 2. Solve -3*o - 3*m = -0*o + 9, -2*m + b = -5*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6490457.\nAnswer: 19, 341603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 2*p**2\/9 - 1120*p\/9 + 156800\/9 = 0.\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 512 a factor of 41453284?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -320642662 take away -69?\nAnswer: -320642593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 120 + 23. Suppose -3*f = 8*f - r. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 6276?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1407528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1423 + -821. Let b = 2257 - o. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a litre in millilitres?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18? (a) -2\/7 (b) -3\/5 (c) -0.8 (d) 4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*b - 2*b + b)*(0 - 5 + 0).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 12 = -h - 0, 0 = -o + 3*h - 8. Let s be (-4 + 12)\/o*-31*1. Is -63 <= s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*k - 48*k - 6. Let c(v) = 5*v**2 + 2*v - 1. Let t(i) = 4*i**2 + 3*i - 2. Let q(h) = k*t(h) + 5*c(h). What is q(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 77624, 155278, 232932, 310586?\nAnswer: 388240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -270*a. Let t(s) be the first derivative of -5*s**2 - 10920. Give -165*t(h) + 6*y(h).\nAnswer: 30*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2\/2 + 75*i\/2 - 1656 = 0. What is i?\nAnswer: -48, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, 11 in increasing order.\nAnswer: -9, -1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes after 9:48 PM?\nAnswer: 3:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence etez when four letters picked without replacement from tzheekznkzkk?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-4))\/w*w*(w\/(w**(5\/2)\/w))\/w assuming w is positive.\nAnswer: w**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 11 + (-3)\/1 - -1. Let t(b) = -b + 15. Let n be t(11). What is the third derivative of 4*r**n - 4*r**2 + h*r - 9*r wrt r?\nAnswer: 96*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/3)\/(-2) - -1. Let b = -12 + 10.7. Let f = b + 6.3. Sort m, 1\/5, f in descending order.\nAnswer: f, m, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2555259, 10221031, 22997329, 40884159, 63881527, 91989439, 125207901, 163536919?\n\"Answer: l**3 + 2555257*l**2 - 6*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -3690\nAnswer: -3690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8635760 or 0?\nAnswer: 8635760","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3072870 - 12574184153\/4092. What is the common denominator of c and 55\/6?\nAnswer: 4092","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y**2 + 2*y - 2. Let j be f(-2). Suppose -d + 2*d = c - j, c + 10 = 5*d. Suppose -d*v = -4*v + 1. Sort -2, 4, v in decreasing order.\nAnswer: 4, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -1829*d**2 - 30*d - 303. Let k(p) = 1830*p**2 + 25*p + 302. Let v(m) = 5*g(m) + 6*k(m). Differentiate v(s) wrt s.\nAnswer: 3670*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31\/6 - 5. Suppose 0 = 3*x + 3 - 0. Which is greater: x or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 154\/484 + 4\/22. Let n(s) be the second derivative of o*s**2 + 0 - 1\/6*s**3 - 1\/12*s**4 + 11*s + 1\/20*s**5. What is n(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from npnnwplwlnnnnwwpn. Give prob of picking 2 w and 2 p.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*w**3 + 58*w - 58*w + 4*w**2 to n*w**2 + j + m*w**3 + c*w and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14751 in -3.35, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 209 and 1408.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + m + m - 6*m + 4*m + m - 3*m + 0*m + 5*m + (-1 + 1 - 2*m)*(3 - 5 + 1))*(0 + 0 + 6*m**2 + (m - 5 + 5)*(11*m - 10*m + 44*m)).\nAnswer: 255*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by -18928?\nAnswer: -11\/18928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4*t + 3 + 2*t + 0. Let p be z(2). Let a(n) = 10*n. Calculate a(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 10740570.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llr when three letters picked without replacement from krklldlmmkkb.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -3*b + 2*b + 0*b - 4 + 8*b**2. Is z(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22490 and 47575?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1161, -2310, -3465, -4626, -5793, -6966?\n\"Answer: -3*u**2 - 1140*u - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1442.1 - -1371. Let w = 176 + -105. Let o = v + w. Does -1 = o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(245) - sqrt(5))**2 + sqrt(55)\/(sqrt(11) - -1*sqrt(11)) - (-3 + (sqrt(605) + sqrt(605) + -2 + sqrt(605))*-6)**2) + -5.\nAnswer: -193686 + 7129*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 513 = -f, f = 3*w - 2*f - 525. What is the units digit of (-42)\/105 - w\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + -0.05. Which is smaller: 2\/9 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 329.712 - -0.288. Let q = -134 + t. Is q at least as big as 0.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 - -2dc7?\nAnswer: 2dcc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - -3.1. Let w = 0.3591 - 0.0591. Which is the second smallest value? (a) o (b) -3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 4*s - 84 = 0. Let d = -35 - s. Find the second derivative of 6*w**2 + d*w - 14 + 14 wrt w.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2071505*f**3*s**2 + 966*f**3 + 435*f**2*s - 12*f - 3*s**2 wrt s.\nAnswer: -4143010*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 11*h - 209. Let b be p(24). Solve 60*n + 25 = b*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/14, 0.081, 723, 0.4 in descending order.\nAnswer: 723, 0.4, 0.081, -1\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -138460 divided by 13846\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -3*w - 15, -3*o + 8147 = -3*w + 8135 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109653.\nAnswer: 3, 36551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2831134.\nAnswer: 2, 1415567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 4*b + 22578 = 0, 114*v - 116*v = 3*b - 15051. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -117528 from -5.\nAnswer: 117523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 61877 + -18101. Is 16 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5964\/55 - -542\/5. What is the biggest value in -5, v, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -106, -53, 96, 389, 874?\nAnswer: 1599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24792885 is divided by 13?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1537.\nAnswer: -4\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 27. Calculate the highest common divisor of 85 and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eww when three letters picked without replacement from {e: 1, o: 7, w: 11}.\nAnswer: 55\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 94 + (30 - (26 + 49)) + 26?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from ooaaqqooqooqkqqooo.\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -12*r**3 + 57*r**2 + 9*r. Let v(b) = -3*b**3 + 14*b**2 + 2*b. Let g(k) = -2*j(k) + 9*v(k). Solve g(z) = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-3 + 8 - 6 - 7)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5228 - -5285. Solve -d*p + 64*p = -14 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 6 + -2 + -60 + 67 + (-66 - -5)?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 785837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1380361?\nAnswer: 1061, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*d**3 - 469*d**2 + 469*d**2.\nAnswer: -2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 578?\nAnswer: 2890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, k: 4, x: 3, n: 3}. Give prob of picking 4 k.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 2*q**2 - q - 3. Let p(z) = -2*z**2 - 4 - z**3 + 0 + 0*z**2 + z**2 + 3*z. Let t be p(-3). Let h(v) = 4*v**2 - v - 5. Calculate t*k(a) - 3*h(a).\nAnswer: -2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -1000200112001112?\nAnswer: 1000200112001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 544910 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-27)\/h**21)\/(((h\/(h\/(h\/(h**9*h))))\/h)\/h**(3\/2)) assuming h is positive.\nAnswer: h**(-73\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -187*s**2 + 620*s + 1843519 wrt s?\nAnswer: -374*s + 620","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -1\/140*j**5 + 4 + 0*j**3 + 5\/56*j**4 - 15\/2*j**2 + 0*j. Let y(a) be the second derivative of p(a). Factor y(q).\nAnswer: -3*q*(q - 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.3, 31, 0.05, 14, -0.07, 6.4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 17, 31, 47, 65, 85, 107?\n\"Answer: k**2 + 11*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 23423022 (base 6) in base 4?\nAnswer: 2303033312","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 16*o + 179 = -8, 2*c = -5*o - 65. What is the second biggest value in c, 2\/165, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 48 + -30. Suppose -5*i + 40 = 5. What is the remainder when v is divided by i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1452788*x**3 + 17*x**2 + 75587*x.\nAnswer: -8716728","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-9)\/(-13)*(20 + 6853\/(-336)) and -87\/44?\nAnswer: 2288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354220.\nAnswer: 2, 5, 89, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -5*i**2 + 120. Let t(c) = 2*c**2. Determine a(t(r)).\nAnswer: -20*r**4 + 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -63, -232, -513, -906, -1411, -2028, -2757?\n\"Answer: -56*u**2 - u - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-18)\/72 + 158\/24*-1. Let j = y - -209\/30. Sort 0.024, 2\/17, j in increasing order.\nAnswer: 0.024, 2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1335?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 3*d - 1. Let o be m(4). Suppose 0 = -2*x + 4*h + 68, 6 = 5*x - 4*h - 134. Solve 0 = -o*f - 3*c - 1 - 2, -3*c - x = -4*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*u**2 + 45*u**2 - 13*u**2 + 685*u - 15*u**2 - 10*u**2 to the form x + w*u + j*u**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1023081 to the nearest integer?\nAnswer: 1011","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1216 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2777*l - 2777*l - 2198*l**2 in the form j*l + s + r*l**2 and give r.\nAnswer: -2198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 8*w**5\/5 + 197*w**4\/5 - 630*w**3 - 6337*w**2 - 21338*w\/5 + 55968\/5 = 0.\nAnswer: -33, -53\/8, -2, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 30008 = 5*x - 0*k, -4*x + 3*k + 24006 = 0. Suppose x = 8*g + 12*g. Is 30 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 6 = m. Let d = m - 13. Let i(f) = -f**3 - 11*f**2 - f + 11. What is the tens digit of i(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3\/40 of a kilogram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -8 in 4, 5, 3\/11?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -51.17 + 50. Round c to 1 decimal place.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of 24*z**4 + z**3 - 345*z**2\/2 + 396. Find the second derivative of q(r) wrt r.\nAnswer: 576*r + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 3, 7, 0, 45, -2\/5.\nAnswer: -2\/5, 0, 1\/2, 3, 7, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + -1.7. Let t be 1 + (5 - 1) - 1. Suppose -5*a - t = -u, -16 = -4*u + 2*a + a. What is the smallest value in -2, 2, u, h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -1. Suppose 3*q = 6, y*t - 19 = -3*q + 25. Suppose h = t - 3. Is h a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130 = -81*h + 34*h + 34*h for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -10*i**3 + 143*i**2 - 39*i - 18. Let l be j(14). Solve 21*o - 27*o + l = 0 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 407.993855 - 408. Round u to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g = -0*g + 3*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -4*t + 56, 3*t + 6 = 6*i - 5*i. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1480 - 1025. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 12 + 51 = 0. Calculate the greatest common divisor of v and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6183 + 6192. Calculate the remainder when 2446 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*z + 28 = -112 - 166. Let m(u) = -u - 9. Determine m(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 217970247?\nAnswer: 3, 11, 600469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3 - 123494*k**2 - 1035350*k - 2?\nAnswer: -12*k - 246988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 126 - -12?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -3\/1100590 and 127\/5282832.\nAnswer: 26414160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3 + sqrt(108)*-1 + sqrt(108))**2 + (1*(sqrt(108) + (sqrt(108) - (1 + sqrt(108)))))**2 + 1)*5.\nAnswer: -60*sqrt(3) + 595","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 483, 505, 527, 549?\nAnswer: 571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*d - 27*d + d = 3*i - 115, 119 = 5*d + 3*i for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 8*o**3 - 4*o**2 - 133*o - 521. Calculate r(-4).\nAnswer: -565","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, 47, 229, 591, 1193?\nAnswer: 2095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6410801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*f**2 + 10*f - 10*f.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-39*r**2 + 8*r**2 - 1 + 0)*(r + 2*r - 4*r)*(-3 + 3 - 1).\nAnswer: -31*r**3 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (110\/(-8))\/(894\/(-8344)*42\/36)\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/17 + 176*d**2 = 0. Calculate d.\nAnswer: 0, 1496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 8 = 5*t. Suppose 4 = t*u - 2. Suppose 0*h + 5*h + 5 = -2*d, -3*h - 22 = 5*d. What is the least common multiple of u and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 86910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**3 - 14*p**2 + 9*p - 33. What is the smallest common multiple of 21 and v(-15)?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1135761 is divided by 2391.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5a7a399 (base 12) to base 16.\nAnswer: -10c44a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 6*h - 4*s = 11, 4 = -s. Let m(k) = 138*k + 15. Let t(r) = -92*r - 10. Let f(o) = h*m(o) + 8*t(o). Is 19 a factor of f(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, v: 4, y: 1}. Give prob of picking 1 y and 1 v.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -1, 2\/17, 6\/11, 1\/8, 7\/10?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6018 and 636378.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*b**3*h - 93*b**2*h**2 - 909*h**2 with respect to b.\nAnswer: -18*b**2*h - 186*b*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -70 - -130. Find the common denominator of 822\/(-132) - (-5 + 1) and 2\/(-10) - 339\/k.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 102 = -50*t. Let g(z) be the first derivative of -t*z**2 + 9 - 2\/3*z**3 - 2*z. Factor g(i).\nAnswer: -2*(i + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 1 = 4*m, m + 4 = n. Suppose 0 = 2*o - n - 33. What is the remainder when 34 is divided by o?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = -27*l - 63 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:09 PM and 1:36 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m**2 - 5*m**3 - 6574*m - 23 - 6569*m + 13143*m to t + q*m**3 + f*m**2 + c*m and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d + 9. Let y be a(27). Suppose 3*t = 5*s + 29 - 12, 0 = t - 3*s - 3. Let k be y\/t - 4\/(-2). Solve -m + 3*m - 4 = k for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9 - 6. Let r(u) = u**2 - 3*u - 5. Let a be r(j). Let o(d) = d - 2. Calculate o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56294336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) 1 (b) -4 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*r = 20*r + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/149130720 and -73\/24975.\nAnswer: 745653600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 7*d**2. Let m(z) = -8*z + 9*z - 3*z. Calculate m(a(k)).\nAnswer: -14*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.55 - 241.55. Let d = -241.3 - u. Sort 0.05, 2, d, 3 in ascending order.\nAnswer: d, 0.05, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -19*k + 5*k**2 + 19*k - k**2. Let t(f) be the third derivative of 0*f**3 - 11*f**2 + 0*f + 0 + 1\/8*f**4. Determine t(g(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-37)\/(740\/(-164)))\/(4\/(40\/(-2))).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7674397 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - (2 + -1 + -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 13*p - 18. Suppose 4*h + 54 = p*h + 2*l, 42 = 2*h + 5*l. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*p**3*t + 1356*p**3 - p + t + 4 wrt p?\nAnswer: -12*p*t + 8136*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1770837428?\nAnswer: 2, 31, 3187, 4481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2369274780.\nAnswer: 2, 3, 5, 79, 191, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 21\/2*(50\/(712 - 12))\/((-5)\/200).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 414846077?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, q: 2, t: 1, d: 1, u: 1, l: 1}. Give prob of sequence lyq.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 16\/28416775 and 47\/3677465.\nAnswer: 312584525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 39*p - 322. Let n be r(-27). Differentiate -479*i**2 - 197 + 235*i**n + 240*i**2 - 20*i**4 wrt i.\nAnswer: -80*i**3 - 8*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 0.039, 0.2, -2\/17, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -2, -94.\nAnswer: -94, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -3*q + 17. Calculate the lowest common multiple of q and (6\/4)\/((-2)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -16 - -37. Suppose -4*t = -2*a - 3*a + 35, 3*a + t - b = 0. Solve a - 2 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 13\/1201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4106889?\nAnswer: 3, 37, 4111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/105)\/(58\/(-870)).\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 + -1 - -3) + 28\/25. What is the second smallest value in -4, -0.02, i?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*j**4 - 204*j**3 + 210*j**2 + 204*j - 207.\nAnswer: -3*(j - 1)**2*(j + 1)*(j + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 0*o = 0. Suppose 3*h + 33 = v, -6 = -2*v - o. What is the tens digit of (-8)\/h - (-798)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-177)\/(-7) + 6\/(-21). Suppose -5*v + 3*v = 4*d + 10, 5*v + n = -3*d. Let q(c) = c**3 - c - 3. Calculate q(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(1\/3))**(-21\/2)*u\/(u\/u**4*u*u)*u**(-3\/4) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -46986 + -3199.1?\nAnswer: -50185.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(3328) + sqrt(52))\/(sqrt(324)\/sqrt(9)).\nAnswer: 17*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1833 + 8787. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -273*6755.\nAnswer: -1844115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 6:32 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = c + 14, 4*c - 4*i = -7 - 1. Let g = c - -8. Put -5, g, 1 in ascending order.\nAnswer: -5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w + 48*w - 30*w - 2*w - w + 4*w + (-4*w - w + 3*w)*(0 + 4 - 5) in the form z + p*w and give p.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*y**3 - 7 + 10 + y**2 - 3 to l*y + t*y**2 + a + b*y**3 and give b.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xtxwvkktkkvktxttwtxt. Give prob of picking 1 t and 1 k.\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 2*o**2 - 14*o - 106. Let l be i(-9). Let c = l - -251. Does 19 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 61971907 and 515?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 291*g**3*l + 2*g**2*l - 232*l wrt g?\nAnswer: 1746*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15873095 is divided by 692?\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*v - 107*v = -2*v - 948 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*k**2 + 3*k**2 - k**2 + 2*k**2 + 179 - 8*k**2 - 27*k with respect to k.\nAnswer: -12*k - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.37 - 124.9445?\nAnswer: -123.5745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 8*k + 9. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 0.4, 23\/11?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 572 - 2\/(-1*1\/2). Suppose -2*b - f = -6*b. Suppose -2*z = -s + 31 - b, s - 115 = -2*z. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6140\/6*(-89 + 92) a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*g = -5*n + 2*n + 24, 12 = 5*n - 3*g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29 + (6 + -21 + 22 - -8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 106126 and 470.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 - -10)*28\/3. Suppose 5*q = q - v. Let i(o) = 5*o**2 - 2*o + 5. Let x(j) = 3*j**2 - j + 3. Calculate q*x(b) + 4*i(b).\nAnswer: -b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a**3 - 40960*a**2 + 1387180*a - 2610560 = 0 for a.\nAnswer: 2, 32, 8158","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1542?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in -0.1, 4, -3, -117040, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 168, 169, 162, 141, 100, 33, -66?\n\"Answer: -z**3 + 2*z**2 + 2*z + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3200*f**2*w**3 - 6*f**2*w**2 - 103870*f**2 wrt w.\nAnswer: 9600*f**2*w**2 - 12*f**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -103 + -61. Let f = 260 + t. Suppose 0*w - 2*w + 5*r + 174 = 0, w + 2*r - f = 0. What is the tens digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8940*g = -2954*g + 2777*g + 199333 + 948620 for g.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes before 10:27 AM?\nAnswer: 5:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14447\/21 - 686. Find the common denominator of k and 7\/41.\nAnswer: 861","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/1300 and -97\/2600.\nAnswer: 2600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t + 450. List the prime factors of k(25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (95\/285)\/((-1)\/4*(-2)\/(-15))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 379, 971, 1801, 2869, 4175?\nAnswer: 5719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 126 - -71. Let v = k - 207.7. What is v rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 81 + 6 + (109 - 9)\/(-50).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 69 in 0.4, -0.05, -4, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1949 divided by 588?\nAnswer: -1949\/588","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-16)*(y*y\/y**(-8\/3))\/y)**(-31))**(-19) assuming y is positive.\nAnswer: y**(-21793\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -3 + 0*c**2 + 4*c + 4 + 2*c**2 - 4*c**2. Suppose -p - 17 = -4*o, 0*p + 5*o = 5*p + 10. What is q(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*u**3 - 12*u**2 + 472*u + 480.\nAnswer: -4*(u - 10)*(u + 1)*(u + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/121 and -9\/12067.\nAnswer: 132737","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*y**4 + y**3 - 8*y**4 + 4*y**3 - 4*y**3 + 0*y**4 = 0. Calculate y.\nAnswer: 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 4400 = -4*i, l + 0*i - 1116 = -3*i. Is 48 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 50 - 0 - (3 - 3). Suppose 691 = 5*d + 141. Let g = d - h. Does 10 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - -11340320?\nAnswer: 11340315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393.581 + 394. Let v = m - -3.581. Let n = -5 - -3. Put n, 1\/9, -15, v in ascending order.\nAnswer: -15, n, 1\/9, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 2*y**3)*(0*y - y + 2*y) + 0*y**4 + 0*y**4 - 3*y**4 + 31*y**3 - 31*y**3 - 21*y**4.\nAnswer: -22*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/(-374))\/(392\/(-3332)).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1271816 is divided by 1710.\nAnswer: 1286","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**4 - 381377*c**2 + 5547*c - 61.\nAnswer: 12*c**2 - 762754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 8*d**2 - 8*d - 17. Let l be q(-7). Let s be (-1 - (-4)\/6)\/(l\/90). Suppose 0*o - 3*o + s = 0. Solve -2*p - 11 = -o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -0.09, -39.25, 2 in decreasing order.\nAnswer: 2, 0.3, -0.09, -39.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4607 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - 2) + -94 + 96 + 0 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/16 (b) -6\/7 (c) -0.001\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**3 + 361805*k**2 - 6479348395*k - 2386430789405 = 0.\nAnswer: -361, 36361","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 4*b**2 - 5*b - 6. What is z(5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 + 22*o - 20.\nAnswer: -2*(o - 10)*(o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 divided by -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1831955 to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - 7) + -215 + 217.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32088 and 168?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4660224917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.0212 (b) -0.04 (c) -2 (d) -34 (e) 0.4 (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2380133880?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/2 of a gram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32823330?\nAnswer: 2, 3, 5, 911, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 1168 divide 57963784?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 831.2987 + 190793.64.\nAnswer: 191624.9387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27030 to the power of 1\/2, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 + -15?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 4532152\/51 and 88866 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x + 13 - 30 + 158*x**2 + x**3 + 11 + 6 to f*x**3 + a*x**2 + z + n*x and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -w**3 + 2290*w**2 + 58139*w - 611160.\nAnswer: -(w - 2315)*(w - 8)*(w + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/24 and -7\/64.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -55*u - 1936 + 1936 in the form c + s*u and give s.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1391?\nAnswer: 13, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 43. Let w(h) = 264*h + 6062. Let u be w(-23). Let p(r) = -r**2 + 21. Give u*p(a) + 4*l(a).\nAnswer: 2*a**2 - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 3, u: 3, z: 1, t: 1, e: 3}. What is prob of picking 2 e?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -12\/5 - 74\/5*b - 56\/3*b**2 + 40\/3*b**3 = 0.\nAnswer: -3\/10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of z**9\/30240 + z**8\/2520 + z**5\/3 - 17*z**2. Let m(b) be the third derivative of n(b). Factor m(q).\nAnswer: 2*q**2*(q + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 2 + 1)*(784010 - 784010 + 2706*l) in the form h + t*l and give t.\nAnswer: 5412","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**2 + 4. Let c be y(0). Let j be 1 + 1 - (-4)\/c. Suppose 0 = -3*w - 3*r + 768, 2*r + j*r = 10. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -3*n - 21. Let f be w(-7). Let p(t) = -2*t + t + f + 0. Let h(x) be the second derivative of x**3\/6 - x. Calculate p(h(q)).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 0.1, 1\/4, 0.118, -13.\nAnswer: -31, -13, 0.1, 0.118, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 9*j**2 - 9*j - 3. Let w be x(-8). Suppose w*y + 5*r = r + 4203, -3*y - 3*r + 2523 = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/137 in 0.15, 4, -6.9, -1\/2?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 1 - (-8 - (-5 - -2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95829 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 3*u**3 + 4*u**3 + 2.\nAnswer: u**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -27, -4, -3, -0.09?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*d*i**3*x**2 - 10*d*i**3 + 2*d*i**2*x + 3943*d*x**2 + d + 5*i**3*x - i**2*x + 2*x**2 wrt i?\nAnswer: -24*d*x**2 - 60*d + 30*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = -4*w + 25 + 9, -5*w = 3*d - 36. Let m(r) be the first derivative of -r**4\/4 + 7*r**3\/3 - 5*r**2\/2 - 4*r + 10. What is m(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110120122 - -120?\nAnswer: -110120002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -18*w - 2. Let b be g(-2). Suppose 3*m + 178 = 2*r, m + 0*m = -r + 89. Let s = r - b. What is the greatest common factor of s and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**3 + i**2 - 3*i - 10. Let f be h(-7). Let m be 6*(-3680)\/f - 3. Let q = m - 1\/113. Put 29, 0.2, q in decreasing order.\nAnswer: 29, q, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - (-3 - -4)) + -3?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (5 - 0) + -3 + 0 - -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15 - 32*t**2 + 14 - 9*t**2.\nAnswer: -41*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-4\/5)*a**(-2\/5))**42 assuming a is positive.\nAnswer: a**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/147 and (-10)\/75*215\/21?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, k: 3}. Give prob of picking 2 k.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 255041 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/468 and (38613\/(-2110))\/(234\/5).\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1011.5 - -345. Let r = k + 666.8317. What is r rounded to two decimal places?\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -169\/398837340 and -39\/4431526.\nAnswer: 398837340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 17*c**2 + 9*c - 9. Let o be y(1). Let h be 8\/28 - 472\/(-14). Calculate the greatest common divisor of o and h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*r - 12. Let o(s) = 3*s**2 + 4*s + 3. Calculate o(r).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -5*x + 119, 4*h - 5*x - 38 = 74. Suppose -h*a + 2836 = -101. Is 6 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.93 - 0.07. Let p = n + 2.9. Let b = -0.9 + p. Sort b, -2, -5.\nAnswer: -5, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -2, -5, 16, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1566281747 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y + 75*y + 40*y.\nAnswer: 134*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1251 rounded to 2 decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -610862, -610864, -610866, -610868, -610870?\nAnswer: -610872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -130, -123, -104, -67, -6, 85, 212, 381?\nAnswer: 598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 72 - 293. Let x = b - -256. List the prime factors of x.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -b**3\/3 + 3*b**2\/2 + 111*b + 31. Let s be j(-9). Solve 2*r = -3*n - 7, 2*r = -2*n - 7 + s for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 0 + sqrt(45)\/(-3*sqrt(9)))**2.\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 335\/(0\/(-2) + -1). Let n be (168\/3*-6)\/(3\/2). Let f = n - r. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2203 (base 5) to base 4\nAnswer: -10233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 78 and 77?\nAnswer: 6006","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ff when two letters picked without replacement from etecfcfeftftek?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6.9. Let w be (-2)\/(-7) - 51\/(-42). What is the closest to g in w, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 2.936189 centimeters?\nAnswer: 0.02936189","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/36)*r**(-25)\/r)\/(((r*(r\/((r*r\/r**(-20))\/r)*r)\/r)\/r)\/r**(-8)) assuming r is positive.\nAnswer: r**(-505\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -10*f**5 + 120*f**4 + 4*f**3 - 12*f**2 - 2*f - 69.\nAnswer: -600*f**2 + 2880*f + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3074 and 2849948436.\nAnswer: 3074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -14575*k**2 - 3*k - 60. Let v be w(-20). Round v to the nearest one million.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 31*w**3\/4 + 15*w**2 + 27*w\/4 - 1\/2.\nAnswer: (w + 1)**2*(31*w - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 388\/(-1164)*(-96)\/2?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.5 - 0.6. Let g = -1\/54 - 211\/270. Sort m, -2\/3, g.\nAnswer: g, -2\/3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 101514 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 260366 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 443 = 3549 - 767. Let x(r) = 26*r**3 + 3*r**2 - 4*r + 3. Let l be x(2). Is y bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = -4*d + 6, d = 5*u + 3*d + 24. Let r(c) = -c**2 + 2*c + 4. Let x be r(3). Let j be (2 + x)*(-4)\/u. Solve 0 = j*i - 4*p - 18, 0*i = -i - p - 3 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -27 - (-6 - (-24 + 7) - 4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*(-1 + 3 - 66\/44). Let d = 0.3 - -0.7. Put -0.3, d, s in descending order.\nAnswer: d, -0.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -3 + 94*s - 93*s - 11. Give r(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -164*a + 166*a + 4 - 14 to s + b*a and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 19*k + 2. Let f(j) = 39*j + 5531. Determine f(i) - 2*x(i).\nAnswer: i + 5527","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011100110 (base 2) in base 15?\nAnswer: -347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 1162*h**2 + 2301*h - 25. Give l(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -4*r - 10. Let u(y) = y**2 - 4*y - 2. Let a be u(5). Let h(b) = -9*b - 21. Let o(w) = a*h(w) - 7*n(w). Calculate o(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 7*b - 19. What is the common denominator of -42\/11 and u(7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -3*q. Let s = q + -15. Find the common denominator of -51\/7 and (58\/(-8)*6)\/s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a century in months?\nAnswer: 6240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:15 PM and 6:35 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*j - 8 - 22 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/((l**22*l*l)\/l*l))\/(l\/(l*l**(-4))*l)*l\/(l\/l**(3\/11))*l*l*l**10 assuming l is positive.\nAnswer: l**(-173\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 16*f**2. Let d(v) be the first derivative of -v**3\/3 - 4. Determine t(d(u)).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (7 - 0) - (-1 + 4) - 0?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1496859888?\nAnswer: 2, 3, 3413, 9137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 37.8 + -38. Which is the biggest value? (a) 0.2 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*sqrt(1008)*4 + 5).\nAnswer: -96*sqrt(7) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/12 and -151\/96?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -30c - 957?\nAnswer: -c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -66 divided by -5.\nAnswer: 66\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l**4 + 9*l**3 + 9*l**2 - 21*l - 18 = 0 for l.\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of -10\/3*x**3 + 1\/3*x**2 + 4\/3*x - 11. Factor h(f).\nAnswer: -2*(3*f + 1)*(5*f - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(42)\/(sqrt(450)\/sqrt(3)).\nAnswer: sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 1263*x**3 + 4*x**2 - 4*x + 2. Let t(k) = -1263*k**3 - 6*k**2 + 6*k - 3. Give 3*i(g) + 2*t(g).\nAnswer: 1263*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3 - 12. Let o = s + 6.1. Sort 0, -1, o, -0.4.\nAnswer: -1, -0.4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (2 - 2 - (-29 + 33))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351923 = 6*b - 4*t - 351925, 0 = -2*b - 5*t - 12 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j - 17 + 24 + 7*j + 52 - 7*j.\nAnswer: j + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2481\/2 - -1240. Let w = 1 - 4. What is the third smallest value in -2, w, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 5*t**2 - 4*t - 8. What is w(-5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1050)\/(-28))\/(8946\/1704)?\nAnswer: 50\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 2*p = -8*g + 21743, -4*p = -16. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4746.007 to the nearest 10.\nAnswer: 4750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2 + (2 - 1 - 2)*(4 - 4 + 2) + 0 + 3 - 2 - 1 + 3 - 9)*(-10*g + 2*g + 15*g).\nAnswer: -70*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nm when two letters picked without replacement from nknnnnkknknnmhnkmhh?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -131\/1095 + -1\/73. Sort 0.15, 2\/15, k in increasing order.\nAnswer: k, 2\/15, 0.15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5840\/(-584))\/(2 - (-179)\/(-89)). What is the highest common factor of 1958 and r?\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 25*g**3 - 290*g**2 + 440*g.\nAnswer: 5*g*(g - 4)*(g - 2)*(g + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 51) + (-1 - 6) - -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/w**(-2))\/(w*w*w**(-35)) assuming w is positive.\nAnswer: w**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/16)\/((-1)\/(-6)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3726009684.\nAnswer: 2, 3, 43, 2406983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -24\/22741 (b) -1\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from enhbvohv. What is prob of picking 1 e, 1 n, and 1 o?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 44016923.9256276 - 46518338.32563. Let c = 2501418 + o. Let d = 3.6 - c. What is d rounded to seven dps?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 + 17*v**2 - 11*v - 45. Let a be j(16). Suppose -a*q = -45*q + 1710. List the prime factors of q.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a**4\/5 - 9*a**3\/5 + 24*a**2\/5 + 36*a\/5 - 48\/5 = 0 for a.\nAnswer: -4, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-13 - (3 + -10)) + -5 + -5\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 7:34 AM?\nAnswer: 6:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17544 + -17505. Calculate the highest common factor of 2457 and u.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 323320020120 + -1?\nAnswer: 323320020113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13753, 13951, 14655, 16171, 18805, 22863?\nAnswer: 28651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -2\/73 (b) -5 (c) -28 (d) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 20 = 4*m, -3*g - g - 3*m = -4. Suppose -g*l = 2*r + 2, 3*l - 4*r - 21 = -r. Let o = l + -3. Is -0.1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 11, 0.5, 2\/37, -0.3, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 15763523551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10707*u**3 + 21098*u**3 - 10393*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.036 (b) -2\/15 (c) -1 (d) -8 (e) -12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*y + 13*y + 2*a + 10, -3*y + 3*a + 12 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 14) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.337 - 0.33701507. What is s rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/5 + 5796\/(-240) + 24?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4343, 8679, 13017, 17357, 21699?\nAnswer: 26043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -3*l - 12, 5*f + 2*l - 23 = 0. Calculate the remainder when 13 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) -1\/7 (b) -6\/11 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.8621 > -58\/73?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.330181152 to 3 dps.\nAnswer: 0.33","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a litre in millilitres?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i + 3. Let s be p(0). Suppose -2*x - s*y - 7 = 0, 3*x - 5*y = 2*x + 16. Suppose 3*h - 11 = x. Solve -h*z = -0*o - o + 5, -3*o + 3*z = 3 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y - 5. Let b(m) = m - 1929033. What is b(x(p))?\nAnswer: 2*p - 1929038","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -25. Let k = 10 - u. Is 509\/4 + 2\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 0 + 10*j**2 + (1 - 5 + 2)*(-j**2 - 3*j**2 + 7*j**2) + 23*j**2 + 313 - 313 - 4*j**2 + 4*j**2 - 2*j**2 in the form n + g*j**2 + r*j and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -8*m**2 - 5. Let o be p(4). Let n = -44 - o. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 987*y - 5. Let u(h) = 17270*h - 88. Determine -88*i(c) + 5*u(c).\nAnswer: -506*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 23.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 take away 8879539?\nAnswer: -8879538.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2106)*1)\/(2*sqrt(242) - sqrt(242)) + -4*-4*(1*sqrt(13) + 1).\nAnswer: 16 + 185*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**3 - 12*c**2 - 4*c + 23. Let d(k) = 15*k**3 - 21*k**2 - 7*k + 50. Calculate 4*d(t) - 7*m(t).\nAnswer: 11*t**3 + 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 54*y + y**3 + 5268279*y**2 + 8*y**3 - 2 - 5268279*y**2 + 4*y**3 as a*y**3 + s*y**2 + v*y + t and give v.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -303 + 302.737. Let p = o + 0.2629817. What is p rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 679*o - 840*o + 161 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 98400921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 + 17. Let u be ((-1)\/34)\/(b\/64). Which is greater: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:31 PM and 1:10 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107 + -108. Let l = -2.87 + 2.857. Is l greater than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 2 = x + 4, 0 = 3*i - 4*x + 10. Find u, given that 0*u**i + 5*u**2 - 6*u**2 + 0*u**2 + 2*u = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7274 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**2 - g. Let j be z(0). Suppose c - 1 = j, -3*q + 2*c = 4*c - 20. Solve -3*w = -q*w - 5*f - 3, 5 = -5*w - 2*f for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -28137420 equal to -28137417?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.646 + 1.864. Let r = 8.51 - g. Is r greater than 0.9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21.47 + -0.47. Let l = 16.9 - b. Round l to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20336 divided by 360\nAnswer: -2542\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -21358, -21352, -21346?\nAnswer: -21340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 49*w**2 + 95*w - 46. Let r be p(47). Let l(s) be the first derivative of 2\/3*s**3 + r + 0*s**2 - 2*s. Differentiate l(b) with respect to b.\nAnswer: 4*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -354 - 1534 - 2*o**2 + 503.\nAnswer: -2*o**2 - 1385","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.05 times -0.153729\nAnswer: -0.00768645","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 68300 and 350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 153558, 614139, 1381770, 2456445, 3838158, 5526903, 7522674, 9825465?\n\"Answer: -o**3 + 153531*o**2 - 5*o + 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13869298?\nAnswer: 2, 2161, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*m + 7*m**2 + 26*m.\nAnswer: 7*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 17166 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -132.7 + 0.79?\nAnswer: -131.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360 = -65*p - 30 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 24*z**2 + 1\/2*z**3 - 1\/60*z**5 + 0*z + 1\/8*z**4 + 0. Calculate b(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c**(-8)*c))\/((c\/(c*(c*c\/(c\/(c\/(c*c**(-2\/5)*c*c)*c*c))*c)\/c))\/c))\/(c*((c**(-12)*c)\/c)\/c*c*c**10*c) assuming c is positive.\nAnswer: c**(52\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, 337, -10 in descending order.\nAnswer: 337, -10, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 AM and 3:09 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/3)\/(1\/21). Suppose 20 = y - p. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:09 PM?\nAnswer: 2:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2450822 is divided by 159?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44 and 484?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 428*p**2. Let c be m(1). Let a = c - 123. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13598?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -67967*a**2*t**2 + 26*a**2*t - 3*a**2 + a*t**2 + a*t - 3*a - 78242 wrt a?\nAnswer: -135934*t**2 + 52*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.05 - 0.05. What is the nearest to -0.1 in -0.06, v, 0.4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 6*o**3 + 2*o**2 + 2 - 1 - 3*o**3. Let g be (-1)\/(3 + (-3 - -1)). Let b be c(g). Which is bigger: -3 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/7 or 487187707?\nAnswer: 487187707","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = -3*s + 2*s + 4*i, 5*s = -3*i - 5 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 998 = 4*v - 2458. Does 36 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.9 in -0.01, 0, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x\/x**(-2\/5)))\/x**(-2\/9))\/(x**(-1\/3)\/(x*x**(-6))))**11 assuming x is positive.\nAnswer: x**(-2398\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 4. Let x be t(2). Let p be (-4)\/(-11)*x\/(-4). Which is the second smallest value? (a) -2\/9 (b) 1\/10 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 22 - 7*d + 11*d - 5*d. Calculate the smallest common multiple of 5 and c(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939567.21035 take away -22?\nAnswer: 939589.21035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(63) + (sqrt(693)*2)\/sqrt(11))\/(-6*sqrt(18)\/sqrt(2)).\nAnswer: -sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w**3 + 6010*w**2 + 137796*w + 38880 = 0. Calculate w.\nAnswer: -405, -24, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 323 - 735\/2. Let h = u - -42. Which is smaller: -3 or h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c**(-2\/3)*c)\/c)\/c*c*c)**12\/(c**1)**(2\/39) assuming c is positive.\nAnswer: c**(1090\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 60?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 8:50 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3438775229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -9624437 greater than or equal to -62?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**2 + 22*g. Let h(o) = -12*o - 18. Calculate h(v(z)).\nAnswer: -24*z**2 - 264*z - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12180*d*g + 3104*g wrt d.\nAnswer: 12180*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**2 + 10*w + 65. Let y be 26\/1*(-30)\/(-60). Let s be u(y). What is the highest common divisor of s and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -3066.77926\nAnswer: 9200.33778","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 109629265.\nAnswer: 5, 21925853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 33636 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: Express 321*w**2 - 13*w**2 + 672*w + 683*w - 1362*w + 913*w**2 in the form o*w**2 + g + c*w and give c.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1001*k**4 + 39*k**3 + 37344*k**2 - 2*k.\nAnswer: 24024*k + 234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1592484, 3184720, 4776956, 6369192?\nAnswer: 7961428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + 51*s - 87. Let u be z(7). Calculate the greatest common factor of 2623 and u.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 5*b - 21 = -0*s, -3*s - 2*b = -22 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 2 - v)*(-3 + 3 + 2) - 6*v - 10*v + 12*v)*(-3 + 3 - v) as f + k*v + a*v**2 and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.23 - 0.07. Let w be 2\/3*753\/5. Let y = -101 + w. What is the second smallest value in -4, k, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.3 + -11.3. Let f = d + 11.32. Let r = 0.320131 - f. What is r rounded to five decimal places?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*sqrt(110)*2 + sqrt(110))\/(sqrt(20)\/sqrt(32))*5*2.\nAnswer: -480*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/5 > -112781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 3*j**2 - j - 4. What is c(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 189075691?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 12964740 rounded to the nearest one million?\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.4 and 5.373477.\nAnswer: 4.973477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -11290, 7496 in increasing order.\nAnswer: -11290, 2, 7496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.55 - -0.5. Let h = 232795 - 232794.9499996. Let s = f + h. Round s to six dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -139*l + 236*l + 518 = 134*l. Let f(j) = -8*j - 5*j**2 + 2*j**2 + j**2 + 3*j**2. Let w(x) = x + 0*x + 0*x. Calculate l*w(g) + 2*f(g).\nAnswer: 2*g**2 - 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 909482 + k**3 - 909861 + k + 2*k**3 to p*k + y*k**3 + x*k**2 + f and give f.\nAnswer: -379","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, d: 1, p: 7, e: 3, k: 6}. What is prob of sequence dpu?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 415130, 415129, 415128, 415127, 415126, 415125?\nAnswer: 415124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5278, 10557, 15836, 21115, 26394?\n\"Answer: 5279*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 612.807 or 2\/3?\nAnswer: 612.807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 8\/(-4) + 45430\/3850. Let -54925 - 624*r**2 + 10140*r + s*r**3 = 0. Calculate r.\nAnswer: 65\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2547, -2566, -2585, -2604?\n\"Answer: -19*x - 2528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 121 divide 326549?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 72 = 46*x - 66. Solve -4*m = -6*k + 4*k + 12, x*m + 31 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-32)\/(-56))\/((-32)\/(-24))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**7\/(l**(-4\/7)\/l) assuming l is positive.\nAnswer: l**(60\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 860426713 to the power of 1\/2, to the nearest integer?\nAnswer: 29333","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -6*j**3 + 6*j**2 - j. Let g(f) = -f**3 - f**2 + f. Give g(o) + p(o).\nAnswer: -7*o**3 + 5*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 10428219, 10428108, 10427997, 10427886, 10427775, 10427664?\n\"Answer: -111*s + 10428330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 10\/12 - 8\/24. Let t be 189\/(-5) + -2 - 6\/30. Let y be (24\/(-100))\/((-12)\/t). Is y not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 43888 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/3564 and 19\/162?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -176*t - 591*t + 9204 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -34 + 6345533438707\nAnswer: 6345533438673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve o**3\/3 + 60315*o**2 - 4524184*o\/3 + 3981340 = 0 for o.\nAnswer: -180970, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5443.498um in millimeters?\nAnswer: 5.443498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 54?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.29 in -1\/60, -2, -332, 1\/4?\nAnswer: -1\/60","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-37)\/111 + (-2)\/(-6). Let x be (k - -5) + -1 + (-4342)\/1169. Factor -2\/7*n**5 + 2\/7*n**3 - 2\/7*n**2 + 0*n + 0 + x*n**4.\nAnswer: -2*n**2*(n - 1)**2*(n + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c - 8. Give r(6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 150297287 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4651\/8848 - 8\/1659. What is the common denominator of i and 77\/386?\nAnswer: 9264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -5*w + 3*k + 2, -3*k = -4*w + 7. Suppose 2*m - w*m = -8. Solve -4*j + 2*u - 7 - 11 = 0, m*j - u = -15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6156 and 3981108?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 9*m. Let b(j) = j**3 + j**2 - 2*j. Let z be b(-2). Suppose k + z = -1. Calculate d(k).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/5*v**3 - 222\/5*v - 21\/5*v**2 + 504\/5.\nAnswer: 3*(v - 12)*(v - 2)*(v + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 2*f + 28 = 0, 97 = -52*n - 4*f - 95 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b, -o + b = 18 - 17. Put -52, o, 0 in descending order.\nAnswer: 0, o, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3)*3*-1. Suppose 5*m - 2*o = 13, -5*m + 11 + 6 = -3*o. Let l be 3\/m + 2\/(-1). Solve -l = -i + p for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that -4682259*h**4 + 4558938*h**3 + 703713*h**2 + 12576*h + 60 = 0.\nAnswer: -2\/17, -1\/101, 10\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n**3 - n**3 + n**3)*(3*n**2 - 3*n**2 + 2*n**2)*(-3 + 3 - 1) + (-n - n**4 + n)*(3 - 3 + n).\nAnswer: -7*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -21. Let z(w) = -4*w**3 + 3*w**2 + 2*w - 1. Calculate the remainder when z(-2) is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 477*z - 361998 = 239*z + 225*z. Is 34 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -a - 22. Suppose -4*h + 4*b = 28, -b - 4*b + a = 0. What is the tens digit of (h + 4)*(-3)\/12*26?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1004033 + -15859203\nAnswer: -16863236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 0*a - 5*a + a**2 - 8 + 2*a**2 - 2*a**2. Let p be t(7). Suppose -16 = -4*s + 4*y, -2*s + 28 = 5*y + p. Is s a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/110 and 83\/8811.\nAnswer: 88110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 92*a*c**5 - 7*a*c**2 + a*c + 2*c**6 + 2*c**2 wrt c.\nAnswer: 5520*a*c**2 + 240*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3305 + 18185477754?\nAnswer: 18185481059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 1.76, 181, -3, 2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318271 is divided by 3031.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*l + 32 - 87. Suppose l = 2*u - 5. Solve 0 = 8*g - 4*g - u for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9791 minus 261.66?\nAnswer: -10052.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*c - 4*c**3 + 40*c**2 - 834 + 832 - 20*c**2 to the form l*c + v*c**3 + k*c**2 + y and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3 + -195729?\nAnswer: -195726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*t + 108 + 133*t**2 + 361 + 231*t**2 - 3*t wrt t.\nAnswer: 728*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*a**3 - 8\/3*a - 5\/3*a**2 - 4\/3.\nAnswer: -(a + 1)*(a + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 567.9803g in tonnes?\nAnswer: 0.0005679803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/1*(-14)\/42?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4333651851479\/158268657 - -1\/18619842. Let q = s - 27384. Let m = 1945\/204 - q. Find the common denominator of m and -3\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27 - 26 = -5*i + 3*n, -3*n = -4*i + 1 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -5 + 11 + 83 + -53 + (-4 - 1).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n - 10. Give b(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -35150822*r - 51378517 wrt r?\nAnswer: -35150822","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(4200))\/(sqrt(486) - (sqrt(486) + -2*sqrt(486) + sqrt(486))) + (-3 + sqrt(343)*1)**2 + -4.\nAnswer: -388*sqrt(7)\/9 + 348","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/18829 greater than -164.2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -855 * 0.02\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 13 = 5*o. Let v be 6\/48*-4*(-2 - 0). Which is the closest to -2\/5? (a) v (b) -6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from thhtihthih. What is prob of sequence ih?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 37*y + 34*y + 19 = 26, 23*i + 3*y = -112 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 0, 4*q - 1 - 5 = -2*t. Let i be 14\/t - (-5)\/(-25). What are the prime factors of (i + 4 + 3)\/(6\/123)?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 110\/(-11) + 10 + 777 + 0?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3 and -174.\nAnswer: -177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20 + 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**3 + 32 - 14 + 39*l**3 + 5*l**3 - 2*l + 4*l**2 - 16 to r*l + v*l**2 + c*l**3 + h and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1129981190 to the power of 1\/6, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 24, 4, 784, -1\/6, 5, -3 in descending order.\nAnswer: 784, 24, 5, 4, -1\/6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -45, -5, 0, -18 in ascending order.\nAnswer: -45, -18, -5, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_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: Let i(n) = n**2 + 4*n - 16. Let a be i(-7). Sort -2, -1, 3, a.\nAnswer: -2, -1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1852, -7297, -16310, -28885, -45016, -64697?\nAnswer: -87922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 24868051?\nAnswer: 13, 29, 65963","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + (201\/27)\/(-1)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -155, 1, 2 in decreasing order.\nAnswer: 5, 2, 1, -5, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1878259 = -3*m + 34*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01974285887 rounded to 6 decimal places?\nAnswer: 0.019743","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**3 - 9*i**2 + 5*i + 5. Let d = -13 - -9. Let k = -11 - d. Is y(k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.48 - -0.18. Put s, 0, 2\/3 in increasing order.\nAnswer: s, 0, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 - -1. Let z(h) = 2*h**2 - 2*h + 2. Let v be z(2). Suppose 2*i + 0*i - 3*m = v, i + 5*m - 16 = y. Solve 0 = -5*q + i + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -26635\/39 - -683. Is 0 equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4497409887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*c - 2*c = 0. Suppose c = -5*p + o + 749, -2*p = -0*p - 3*o - 297. Round p to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 167.05984 + -167. Let u = m + -0.06. Round u to four decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**4 + 96*q**3 - 664*q**2 + 1056*q - 484 = 0.\nAnswer: 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 151.1 - 30.1. Let g = -120.9999854 + f. What is g rounded to 6 decimal places?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11001 (base 2) to base 6\nAnswer: -41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w**3 + w. Let s be b(1). Suppose -s*x - 4*j + 8 = -x, -12 = -3*x + j. Calculate the highest common factor of 32 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 49*z**2 - 32*z. Let h(t) = -49*t**2 + 31*t - 1. Let s(m) = -3*f(m) - 4*h(m). Factor s(d).\nAnswer: (7*d - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2390 (base 12) to base 8.\nAnswer: -7634","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d*d\/d**28)**(-7) assuming d is positive.\nAnswer: d**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 21735, 20910, 20085, 19260, 18435?\n\"Answer: -825*c + 22560","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 19\/7 + 0. Let d = -469 + 1441\/3. Let z = d + -11. Does z = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 13*a + 882 = 0. Let q = -59 - a. Put 0, -180, q in decreasing order.\nAnswer: q, 0, -180","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011100 + 111101000?\nAnswer: -10101110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 47 divide 3507227?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.5779466 rounded to 1 dp?\nAnswer: -19.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 26504 - 1387?\nAnswer: 25117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.7 and 36?\nAnswer: 36.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 39251 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 10*n**2 - 18*n**2 + 6*n**2. Let j(z) = -z**2 - z**2 + 3*z**2. Determine j(f(q)).\nAnswer: 4*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gze when three letters picked without replacement from zeeeggezgzeegzezgzez.\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-5)\/(-10)*(7 - -1))\/4. Which is bigger: k or 74\/49?\nAnswer: 74\/49","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.471 in 489, 16, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -21 - (-11 - 20 - -12)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2100, -2093, -2082, -2067?\n\"Answer: 2*j**2 + j - 2103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4019111 is divided by 515?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1369034910 rounded to the nearest ten thousand?\nAnswer: 1369030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -2*z**3 - 17*z**2 + 58*z + 527. Let k be h(-8). Sort -2, -3425, 1, k in decreasing order.\nAnswer: 1, k, -2, -3425","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/4 (b) 0 (c) -786\/19 (d) 75 (e) 5 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 2*y + 0*y)*(-4 + 4 - 31*y)*(-y**2 + y**2 - y**2).\nAnswer: -62*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + 2\/(-4). Let p = 0.04 - 0.14. Let r = 1.9 - p. What is the nearest to k in 1\/4, r, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -359129 and -359122 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*g**3 - 28458*g**2 + 61*g + 103302708 wrt g.\nAnswer: 6*g**2 - 56916*g + 61","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7 + 8. Let b be 966\/7 + 2*d. Suppose 0 = -2*c, -5*f - 5*c + b = -0*f. Does 14 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.2918 and 0.5.\nAnswer: 0.1459","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 623471 is divided by 635?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 3*b**3 - 4*b**2 + 4*b**2.\nAnswer: 3*b**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 85 and 25017115?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -765275 smaller than -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3285 and 292.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -5*g. Let p(a) = -8*a + 5. Let z(b) = 3*b**2 + 7*b - 10. Let y be z(2). Let v(d) = -24*d + 16. Let w(k) = y*p(k) - 5*v(k). What is w(o(t))?\nAnswer: 40*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from njingjjjijnqpnnngj. What is prob of sequence gp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**9\/22680 + i**8\/3360 - i**7\/1260 + i**6\/1080 + i**4\/4 - 2*i. Let q(g) be the third derivative of o(g). Solve q(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 - 12*v + 38. Determine t(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -19? (a) 1241 (b) 9 (c) -0.1 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 312867?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rpprnur. Give prob of sequence ru.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-one fifths of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -242 + -1?\nAnswer: -243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19001 is divided by 96?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, 0.2, -298 in descending order.\nAnswer: 3, 0.2, 0, -298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5730330?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -66 + -4 - (-345 - -297)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/6 (b) 1\/4 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 265427 (base 12) to base 2.\nAnswer: 10011010001000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -5*c + u, -2*c + 14 = c - 4*u. Suppose c*h + 6 = -0*h, -3*h = -2*a + 15. Suppose -l = -a - 4. Calculate the remainder when 12 is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33104?\nAnswer: 2, 2069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -108*a + 12053. Calculate the remainder when u(103) is divided by 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2. Let a(r) be the first derivative of 7*r**3\/3 - 4. Determine a(c(y)).\nAnswer: 28*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 11:51 PM?\nAnswer: 10:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 473, 931, 1361, 1757, 2113, 2423, 2681, 2881?\n\"Answer: -h**3 - 8*h**2 + 489*h - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 5*v - 2. Let g be n(-6). Suppose -g*k + 5*o + 87 = 0, 2*o - 15 = -o. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 8*k + 5. Let g(c) = -c**3 - 11*c**2 - 8*c + 14. Let q be g(-10). Let w(n) = 17*n + 11. What is q*w(f) + 13*d(f)?\nAnswer: 2*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 56398469599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*c**2 + 0*c + 296*c**2 + 0*c + 11*c**2.\nAnswer: 191*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88590274 to the power of 1\/3, to the nearest integer?\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 21795 = o + 2*l, 4*o = -l + 87193. Suppose -o = -4*i - 2*i. Suppose -3*v = -4*z - 2173, 5*v - i = -2*z + 3*z. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -33 (b) -1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5567, 2829, -0.4 in increasing order.\nAnswer: -5567, -0.4, 2829","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 709198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142 - 2512?\nAnswer: -3054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 38 + 128 = 0. Let n be 48\/g - (-2)\/5. Solve -4*s**3 + 5*s**3 + n*s - 3*s**3 = 0 for s.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07115231 rounded to 3 decimal places?\nAnswer: 0.071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssww. What is prob of picking 1 w and 2 s?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -7812 times -24679\nAnswer: 192792348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 + -80. What is the smallest common multiple of q and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l + 94. Let h(k) = -6*k + 47. Let j(b) = 5*h(b) - 2*y(b). Is j(-16) a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4 + 4 = -2*m, 0 = 9*m + q - 14. Which is bigger: m or 2\/877?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (161*v**3 - 109*v**2 + 109*v**2)*(0 - 1 - 2*v + 2) to the form y*v**2 + p + b*v + a*v**4 + j*v**3 and give j.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8623?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 8090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - 6 = 5*d, 5*d + 9 = 2*d + 3*s. Let b(n) = -2*n**3 + 5*n**2 + 3*n - 3. Let m be b(d). Suppose -m*p - 315 = -30*p. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -217*q - 3568. Give i(-16).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 14 (b) 4.7 (c) -297 (d) -2\/5 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5)\/4*16\/(-12). Which is the closest to -4? (a) 0.05 (b) m (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 51?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**5\/15 - 1906*c**4\/5 - 1357536*c**3\/5 + 4101248*c**2\/3 = 0. What is c?\nAnswer: -1432, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8192455 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.088 + -30.6?\nAnswer: -21.512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1986 at most as big as -1985?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 23*k - 3*k)*(4 - 5 - 4)*(1 - 4 + 1)*(1 + 1 - 5).\nAnswer: -360*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 279, -26, -819, -2334, -4805, -8466?\n\"Answer: -39*m**3 - 10*m**2 - 2*m + 330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30550 and 2150.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/5 - 55367052*g\/5 + 383188805896338\/5.\nAnswer: 2*(g - 13841763)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 4*o, 2*o - 6 = 3*m + 6*o. Is ((-3)\/m)\/(-5 + (-1911)\/(-382)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*s**3 + 0*s + 0*s**2 + 0 - 3\/4*s**4.\nAnswer: -s**3*(3*s + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -30, -1 in decreasing order.\nAnswer: -1, -29, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -14*c - 30 + 12*c + 15*c - 3*c**2 + 20*c.\nAnswer: -3*(c - 10)*(c - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = -3*q - 3, q - 13 = -14. Is -9\/187 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18433 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d**2 + 2*d - 2*d)*(-4 + 4 - d) + 2 - 2 + 2*d**3 + 10106*d**3 + 7785*d**3 - 855*d**3 to w + u*d + s*d**2 + t*d**3 and give t.\nAnswer: 17039","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of -2007*k**4\/4 + 2*k**3\/3 + 2451*k**2 - 5244. What is the second derivative of w(m) wrt m?\nAnswer: -12042*m + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3645)\/(-972)*(-12)\/9 + 193\/32 + -1.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 149 = 11. What is the third smallest value in 3, i, 6\/7?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 120 and -2.\nAnswer: -240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -4*c**2 - 326*c - 2491. What is b(-73)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -567\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 12 - 19)*(14*l + 16*l - 10*l).\nAnswer: -660*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 - 126*y**2 - 176*y + 117. Determine k(-30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 5332, 10664, 15996, 21328?\n\"Answer: 5332*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 322101 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*f + 24 = -47*f. Suppose -22*x + f*x = -33978. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 24081 = -5*x, 4*x - 19248 = 38*m - 33*m. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -8*k + 33. Calculate x(-46).\nAnswer: 401","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -106 = 68*x + 302 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -68\nAnswer: -39\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 - (8 - -47 - 50).\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -33710 + 33715. Solve -70*s - 3*m = -73*s - 3, 0 = m - d for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 712679 in decreasing order.\nAnswer: 712679, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**4 + 2*r**4 - r**4)*(0*r - 3*r + r) - r**5 - 4*r**5 - r**5 - 3*r**2 + 3*r**2 + 2*r**5 + (r + 5 - 5)*(3 - 3 + 2*r**4).\nAnswer: -6*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 1, -5, -7, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-572)\/78)\/(-1*(-4)\/6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1009 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1037, 4047, 9041, 16019, 24981?\nAnswer: 35927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 12 + 16 = 0. Let b be 0\/(w\/(-2)) + 6118. Suppose b + 13982 = 3*r. What is r rounded to the nearest one thousand?\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes after 12:46 AM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 5 + 3 + 13*t**3 - 16*t**3 + 2*t + 4*t**4 - 8 as w + i*t**3 + n*t**2 + r*t + z*t**4 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*a = 46*a - 6204. Let n = -478 + a. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109854 * -0.3.\nAnswer: 32956.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2022 + 2037. Which is the closest to -4? (a) -1\/5 (b) -1 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -7*t + 4. Let r(c) = -19*c + 1. Let b(z) = 39*z - 1. Let q(h) = 6*b(h) + 13*r(h). Give 3*q(k) - 5*v(k).\nAnswer: -4*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001820037 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 70331*a - 421967. Calculate r(6).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 58\/87 - (-71)\/(-3). Let z = 449 + w. What is the remainder when ((-2)\/((-24)\/z))\/((-1)\/(-2)) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (2\/(-2) + -1). Let u(t) = -92*t + 376*t - 97*t - 5 - 90*t - 93*t. Does 10 divide u(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/6 + (154\/(-24))\/(-11)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 24?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/5)\/(((-1)\/4)\/(247\/(-76)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 234 is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -798, -1589, -2380?\nAnswer: -3171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a centimeter in micrometers?\nAnswer: 8750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - 9 - (-2 - 0) - 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 5 - 4)*(0 + d + 0)*(-10*d - 60*d - 6*d)*(-1 - 1 + 3) to c*d**2 + z + p*d and give c.\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.06 (b) 157 (c) 2\/27 (d) -0.5 (e) -0.1 (f) -2\/9\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yiwrwryiwrrrryrrjr. What is prob of sequence wwiw?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -0.22?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/27, -1\/4, -835 in descending order.\nAnswer: 4\/27, -1\/4, -835","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11150*z**3 - 15*z**2 + 11133*z**3 + 15*z**2.\nAnswer: -17*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -60. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-8)*6\/(-21)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (25\/15 - -1). What is the nearest to l in -1, 2\/15, -1\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-3)*(-6)\/12. Suppose m*c - 4*v = 2*c - 930, 0 = 2*v + 4. Suppose 178 + 1732 = 4*w - 3*p, -w + 5*p = -c. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/823352 and -23\/468.\nAnswer: 96332184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32393237?\nAnswer: 32393237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00034 to five decimal places.\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/14 - 136\/(-14). Suppose -6*h + h = -2*s + 25, -10 = -2*s. Let x be -1 - (h + (-4 - -4)). Solve -2*c = -x*b + 6*b + l, -2*c - 6 = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/75, -243, -9, -0.6, -3?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 96*j - 65490 = -69714 for j.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 34.92. Let s = m - 0.08. Let z = 0.05 - 0.05. Which is the nearest to -1? (a) 2 (b) z (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1\/46)\/(6\/(-24))\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5\/6, 8, -2\/9, -3322 in ascending order.\nAnswer: -3322, -2\/9, 5\/6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2299*u**2 - u + 18805 wrt u?\nAnswer: 4598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -299024.875 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3655 and 19703.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 11 + (-8 - 4) + (8 - -1). Calculate the greatest common divisor of v and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 7*k - 6. Let w be c(6). Let g(z) = -z**2 + 2*z + 2. Let y be g(2). Suppose -5*b - 5 = 0, 4*m - 15 + 1 = -y*b. Solve w*v - m*v - 8 = 0 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303213551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13156 and 68243461?\nAnswer: 272973844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.399888 - -0.4. What is x rounded to 5 decimal places?\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**2 - 67072*u - 2419776.\nAnswer: 4*(u - 16804)*(u + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1000 (base 5) to base 8.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153 - 153 + 20195*b**3 - 20311*b**3.\nAnswer: -116*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 610690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v**2 - 9*v. Let k(c) = 6*c**2 + 27*c. Let p(m) = -6*k(m) - 17*u(m). What is the second derivative of p(x) wrt x?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.8707 - -0.7411. Round r to 1 dp.\nAnswer: -10.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p = -4*r + 20, -3*r = -0*r - 2*p + 5 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -6*y + 5. Suppose 0 = q - y*q - 10. Let m = 23 + -14. Calculate the lowest common multiple of m and q.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7198 - -7249. Let p(v) = -v + 63. Let x be p(0). Let y = x - c. Solve -y = -3*k - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*z - 5905 + 22481. What is the highest common factor of z and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 5*o + 3)*(-5 + 1 + 8) + 96 - 96 + o + o - 4*o + 0*o to r*o + l and give r.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.9 + -1.9. Let k = -41 - -83\/2. Which is the closest to -1? (a) k (b) n (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 11*j**3 - 5*j**2 - 7*j - 5. Let f be 2\/((-4)\/2) + 5. Let u be 84\/16 + (-77)\/(-44). Let c(o) = -6*o**3 + 3*o**2 + 4*o + 3. Give f*t(n) + u*c(n).\nAnswer: 2*n**3 + n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(45) + 3 + (sqrt(5) - (sqrt(5) + sqrt(30)\/sqrt(96))) + 4*((sqrt(5) - ((5*sqrt(45))**2 + sqrt(5))) + sqrt(5) + -2 + sqrt(5) + -1).\nAnswer: -4509 + 43*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5775)\/18)\/25 + 13.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4794.876 months to centuries.\nAnswer: 3.99573","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 6*u - 3*i = 17, -5*i = -3*u + 31. Suppose 0 = -4*c + 3*d + 103, -4*c - 43 = 4*d - 111. Solve 14 = -3*q + m, 5*q - m + c = u*m for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8245*w**2 - 460*w + 4103*w**2 + 4143*w**2 - 6 to the form h + n*w**2 + s*w and give s.\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 51434373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*g - 59*g + 7984 = 5*a, -a = 5*g - 1586. Calculate the remainder when a is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 356014 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4063167760 rounded to the nearest one million?\nAnswer: -4063000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c and 1 a when four letters picked without replacement from {o: 6, a: 1, c: 12}.\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5381273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 < 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 7*t + 6. What is l(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 38247 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -114342?\nAnswer: -114401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that -c**2 + 705*c - 4194 = 0.\nAnswer: 6, 699","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 865468?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/20)\/(-3)*5080\/(-6350)?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 0, 15\/7, 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, s: 10, o: 4, z: 2}. What is prob of picking 1 z and 1 s?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -39 + 43. Suppose -z + a*w + 43 = 0, -4*z + 2*w + w = -133. Is 2*z - (-27)\/(-9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9840 and 372.\nAnswer: 305040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + -2578?\nAnswer: -2583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (-5 - (-5 - (3 - 7))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -29, 30, 191, 496, 987, 1706, 2695?\n\"Answer: 7*c**3 + 9*c**2 - 17*c - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15204941.33 rounded to the nearest ten thousand?\nAnswer: 15200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6\/7)\/((-1)\/(-7)). Suppose o - 2 = -r, -o - 9*r + 2 = -4*r. Solve -8 = -o*a + l*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**2 + 15*z + 13. Let a = -6037 - -6072. What is the remainder when k(9) is divided by a?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-20)\/((-2 - -2) + -2). Suppose u = -4*u + 2*s + 1, 0 = -2*u - 4*s + j. Suppose -2*w = -w + u. Is 1\/5 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 3 + 0)*(0*g - 3*g + 2*g)*(336*g - 285*g - 209*g) + (g + 2 - 2)*(-36*g + 2*g + 5*g) to the form r*g**2 + u + p*g and give r.\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 10*f**2 + 13*f + 5. Is d(-8) a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52, -3, -9, 0, -171, 15 in decreasing order.\nAnswer: 15, 0, -3, -9, -52, -171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-24) - -3)\/9.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 4*z + 31. Let s be v(-9). Let i = -8633\/20111 - -2\/2873. What is the closest to i in -5\/2, 2, s?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16295 - 130363\/8. What is the closest to s in -0.4, -5\/8, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2491732 by 1245866.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/(-286)*(-8)\/6?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x + 1. Let b(n) = n. Let s(d) = d**3 - d**2 - 3*d + 1. Let o be s(2). Calculate o*g(a) - 3*b(a).\nAnswer: -2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a millennium in decades?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -3*a - 52. Let q = a + 57. What is the greatest common divisor of q and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-32)\/(-10) - 3\/15. Suppose -5 = -c*d + 46. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 5*p = 26357, 0 = -2*h + 2*p + 2*p + 26312. List the prime factors of h.\nAnswer: 2, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.870471 millennia to centuries.\nAnswer: 48.70471","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 9*l + 21. Let c be o(-1). Let k(u) = 2*u**2 + 20*u + 6. Let b(h) = -2*h**2 - 19*h - 5. Let z(y) = 3*b(y) + 4*k(y). Is z(c) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a85b2 (base 13) in base 3?\nAnswer: -120110020210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(143)*1*1)\/sqrt(11).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 12*m + 340. Calculate u(-28).\nAnswer: -108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -21, -6, 22 in descending order.\nAnswer: 22, -5, -6, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 3*w - 4. Let h be k(-4). What is the second smallest value in -3\/2, h, -3?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3224*q**6 - 4537*q**2 + 4295*q**2 - 2902*q**2 - 4921*q**2 wrt q?\nAnswer: -386880*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (l + 2*l - 4*l)*(-2*l + 3*l - 3*l) - 6 + 1023*l**2 - 3 - 1104*l**2 to y + d*l**2 + i*l and give y.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/2074 and -14\/1513.\nAnswer: 184586","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/2 - (-44713 + -3). Suppose 720 - m = 4*q. Round q to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58 a factor of 317?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 7*g**2 - 15*g + 5. Let u(j) = 15*j**2 - 31*j + 11. Let x(z) = -13*h(z) + 6*u(z). Suppose 0 = -3*b - 2*q + 21, 5*b - 4*q - 30 = 3*b. What is x(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 - 27*y**2 - 175*y + 79. Calculate g(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 423134 + -343?\nAnswer: 422241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2146069 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 11074576\nAnswer: 3\/11074576","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o + 98 - 36 + o + 271 + 0*o to y + j*o and give y.\nAnswer: 333","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve w + 1098 = -3*g - 16*w + 1157, 3*w - 9 = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3824 * 9138.\nAnswer: 34943712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 + 4*s**2 - 13*s - 3. Let a be f(-6). Let q be a + -2 - 4\/4. Let k be (q - 1)\/(-2)*52\/(-78). What is the third smallest value in k, 3, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68, 373, 1108, 2137, 3460?\nAnswer: 5077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**3\/6 + 4*a**2 - 188*a. Determine g(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-4\/15)*l\/(l**(-21)\/l)*l*l*l)\/(l*l\/(l*(l\/(l**(-2\/7)\/l))\/l))**(-5\/4) assuming l is positive.\nAnswer: l**(5329\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n + 71. Determine o(-40).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1193, 2557, 4825, 7991, 12049?\nAnswer: 16993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 4, 4071\/382, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16? (a) -3 (b) -6\/43 (c) -8075\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -29, -50, -77, -110, -149?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3231*s + 6 = -5*a - 3233*s, a + 3*s + 35 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2\/79, 377\/5, -24.\nAnswer: -24, -1, -2\/79, 1, 377\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(1573)*-2 + sqrt(1573))**2.\nAnswer: 44*sqrt(13) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 85 = 5*m, 248 - 697 = -5*w - m. Solve 18*q + w = -18 for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 104644 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 425 is divided by 93.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 4*o + 2*o)*(o - 5*o + 2*o)*(-1 + 2*o + 1)*(0 - 3 + 2)*(-11 + 10 + 28).\nAnswer: -324*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21402 or 21404?\nAnswer: 21402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**2 + 16*c + 14*c - 34*c + 24*c**3 - 16*c**3 - 10*c**3. Let l(w) = -w**3 - w. Calculate d(g) - 4*l(g).\nAnswer: 2*g**3 - 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148 and 40.\nAnswer: 1480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*v = 160*v + 180390. List the prime factors of v.\nAnswer: 7, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4461, 8925, 13391, 17859, 22329, 26801, 31275?\nAnswer: 35751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 71*h**3 + 1568740*h**2 - 1 - 1568719*h**2 as d*h + l*h**3 + x*h**2 + v and give x.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:35 PM and 5:55 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127939872?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*o**3 - o**2 + 4 - 4 - o to the form a*o**2 + v*o**3 + g*o + s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 2*m + 26 = -4*m, 6 = 3*m. Let h = z + -2. Suppose 4*t - 2*y = 76, 9*y = -4*t + h*y + 104. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(1\/((-30)\/12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 5 + -6*((-1 + -1*sqrt(700) - sqrt(700) - sqrt(700)) + -6*(-2*sqrt(700) - sqrt(700))**2 + sqrt(700)))*3*-5.\nAnswer: -3402165 - 1800*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 - -124. Which is greater: q or -70?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) -7 (c) 0 (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 439963079537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-3*(-2 + sqrt(704) + 2))**2 + -3.\nAnswer: 57021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)*z*z)\/z)\/z**4)**(-2\/59)*((z*z*z**7)\/(z\/((z\/((z*z*z*z**(-2\/5)*z)\/z))\/z)))**1 assuming z is positive.\nAnswer: z**(1683\/295)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-294)*279\/186.\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j - 5*a = 2*j - 286, -3*j - 2*a + 407 = 0. Let i = j + -77. Let t be i\/14 - (1 + 0\/1). Solve -5*o = 2*y + 9, -t*y + 0*y + 24 = -5*o for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2175 and 19602405?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -2122*n + 1035426. What is g(488)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and -14.064402?\nAnswer: -28.128804","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*v - 408 = 19*v - 26*v for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -9*m - 1. Let d be 1 - (-3)\/(-3)*3. Calculate z(d).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1573964*o**2 - 68767*o - 4 wrt o.\nAnswer: -3147928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25446373 is divided by 133227?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 169916010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 197 + 193 - 282 + 111*b + 3*b**2.\nAnswer: 3*(b + 1)*(b + 36)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wow. What is prob of picking 1 o and 1 w?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4.5 + 5. What is the third biggest value in o, 1, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of 5*u**4\/24 - u**3 + 6*u**2. Is q(8) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 8:12 PM?\nAnswer: 5:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**4 - 1516*u**3 + 98700*u**2 - 2342500*u + 19000000.\nAnswer: 4*(u - 304)*(u - 25)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -938, -687, 768, 3433, 7314?\n\"Answer: w**3 + 596*w**2 - 1544*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3a8 (base 12) in base 5?\nAnswer: -4220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 46925 + 20760. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30\/(-10) + (1*-2 - -336) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -1. Suppose 5*k - 9 = 1. Let i(p) = -k + 4 - 4 + p + 0. Let m(w) = -5*g(w) + i(w). What is the derivative of m(o) wrt o?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 times -128937.7?\nAnswer: 1031501.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230972890?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of -n**5\/20 + n**4\/2 - n**3\/2 + 5*n**2 - n. Let v = -46 + 51. Is h(v) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13630 = 2243*g - 21931 - 116963 for g.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 23061 (base 7) to base 11.\nAnswer: 4460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 16622444 + 2?\nAnswer: 16622446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three thirds of a day in minutes?\nAnswer: 20640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*((-1)\/(-2) + -1). Suppose -o + 23 = -4*h, 22 = o - z*o - 5*h. Let r be 9\/((-3)\/1) + o. Solve 0 = 3*k - r*k + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3033045 + 4?\nAnswer: -3033041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**2 - 6*n + 1. Let q be i(-5). What is the highest common divisor of q and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2000 - -10?\nAnswer: 2010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32\/(-12)*(-6)\/(-4). Let w be (12\/15)\/(p\/40). Let y = w - 21. Is y at least as big as -29?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 418.18545s?\nAnswer: 0.116162625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 48 + -49?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*q + 30. Let r(w) = -201*w + 27. Let l(i) = -13*i + 2. Let g(z) = 15*l(z) - r(z). Let o(t) = -5*t - 3. Determine q*o(v) - 4*g(v).\nAnswer: v + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 + 10. Suppose -v - 4 = -j*v. Let t(u) = 51*u**2 - u. Is 25 a factor of t(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.043? (a) -15 (b) 3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*j - 13*j**2 + 16*j + (-3*j + 5*j + j)*(3 + j - 3) - 17*j**2 - 23*j + 23*j to the form w + s*j + t*j**2 and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*k + t + 12, -5*k = 3*t - 33. Let c be (12\/(-5))\/(2\/(-10)). Suppose -2*b + 20 = -c. What is the remainder when b is divided by k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 390\/(-104) + (-1)\/4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -4*b + 4*w, 3*w - 7 = 8. What is the remainder when 24 is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -20. Let f(r) = -7*r**4 + 5*r**3 + r**2 + r - 6. Let g(b) = -6*b**4 + 4*b**3 + b**2 + b - 5. Let d(o) = l*f(o) + 6*g(o). Solve d(z) = 0 for z.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -10. What is the smallest common multiple of 33 and z?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -10*j**3 - 4*j**2 + 2*j + 16. Suppose -3*q = 33*q + 108. What is the lowest common multiple of x(q) and 8?\nAnswer: 488","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rfu when three letters picked without replacement from {i: 9, y: 6, h: 1, r: 1, f: 2, u: 1}?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 20bb4 (base 12) to base 4\nAnswer: 22202320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2514*g - 22 + 1698*g + 20 as w + h*g and give h.\nAnswer: 4212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*p = 27*p - 1130 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x - 5. What is y(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aappaaiittia. What is prob of sequence ptaa?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1, 19, -0.1 in descending order.\nAnswer: 19, 5, 1, -0.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -778*q**2 - 33639160*q\/13 + 13304\/13 = 0.\nAnswer: -3326, 2\/5057","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(432)*1*-5 + 5 + -5)**2.\nAnswer: -600*sqrt(3) + 10825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 63*n + 4522. Determine v(-72).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-x - 8*x - x)*(-7 + 2 + 3)*((-2 - 1 + 2)*(-4 - 2 - 11) - 5 - 10 - 95) in the form z + w*x and give w.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 12906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56\/294)\/((-4)\/6)*7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147185098?\nAnswer: 2, 109, 675161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 4*l = 2*a - 4 - 22, 0 = -4*a + 6*a - l for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 2*u - 8. Solve -u*o - 20 = v, 3 = -o + 4*v - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 a factor of 2246?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 137, 7\/632, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1084*x**2 - 543*x**2 - 541*x**2 + x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -57*q**2 + 37*q**2 + 26*q**2 in the form p*q**2 + v*q + x and give p.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 m when two letters picked without replacement from {w: 2, f: 1, m: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) 5 (b) 0.3 (c) -1\/98\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - b + 4*x + 54 = 0, 5*x + 93 = -4*b. Let a = b + 17. Find the second derivative of 6*c**5 + 0*c + a*c**5 + 0*c**5 - c wrt c.\nAnswer: 120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 62.783 and 16756?\nAnswer: 16693.217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -38353 (base 11) in base 3?\nAnswer: -2210102202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2004566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 34 - 148122?\nAnswer: -148088","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/15 + (-6)\/(-5). Sort 5, 0, p in descending order.\nAnswer: 5, p, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.4 - -5.6. Let l = p + -8.00000288. What is l rounded to 7 dps?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 229609200223?\nAnswer: -229609200225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1835, -1786, -1737, -1688, -1639?\nAnswer: -1590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13479301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7399 - -7402. Let f(a) = -5*a - a**3 + 0 - 3 + 2*a**2 + 6. Give f(v).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 81\/99*(-8)\/(-36)*(-31)\/(62\/(-352))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23548 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xll. What is prob of sequence lx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-8) + (-22)\/(-8). Factor 9 + 12*a**4 + 9 + 7*a**3 - 14 - 16*a**2 - 8*a + a**d.\nAnswer: 4*(a - 1)*(a + 1)**2*(3*a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 6 and 21596.\nAnswer: 129576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000114435 to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 2 - 12\/190*(-3720)\/(-48)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of -313*v**5\/20 + 712*v**2 + 640*v. Find the first derivative of c(d) wrt d.\nAnswer: -939*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the third derivative of -y**9\/9072 + y**7\/2520 - 17*y**3\/6 - 19*y**2. Let n(l) be the first derivative of u(l). Determine g so that n(g) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11641?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -165, -246, -325, -402?\nAnswer: -477","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*y**2 - 3*y - 6*y**2 + 4*y**2 + 429*y**3 - 935*y**3 in the form l*y**2 + x*y + i + g*y**3 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 18074, 2\/9 in decreasing order.\nAnswer: 18074, 2\/9, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 2*t**2 + 24*t + 36. Let w be q(-15). What are the prime factors of w + 0 + (0 - 2)\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - 2 - (-9 + 2) - 2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3a331 + -755?\nAnswer: -3aa86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1082311 is divided by 51538?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1503.\nAnswer: 3, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14180 and 5138832?\nAnswer: 2836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**2 - 5*y + 1. Suppose -4*i = -3*v + 30, -2*i - 3 = 3. Suppose 0 = v*t - 2*t - 116. Suppose -t = -5*h - 4. Give m(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 45 = -k - 3*j - 3*j, 321*k = 322*k - 3*j - 39 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 + 2*k**2 - 87*k - 295. What is r(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118*l**2 + 29*l**2 + 11*l - 3*l - 6*l + 3*l - 3*l.\nAnswer: -89*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*242\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 153466 - -18841. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 24*d**2 - 25*d + 29. Let s be (-1)\/1*(-40 + 15). Let f be l(s). Which is bigger: f or 27?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -1\/12*l**5 + 0*l + 1\/12*l**4 + 0*l**3 + 0 - 216*l**2. Let d(g) = -9*g**2 + 4*g. Calculate 6*d(m) - 11*p(m).\nAnswer: m**2 + 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 68 = -3*w + g, 4*w - 82 = 2*g. Suppose 4*v = v - 3*t - w, -2*v + t = 17. Let u = -1 - v. Is 5 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hhhhhhbhhhhbhhhhhh. Give prob of picking 4 h.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-390)\/325)\/(1\/5).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 18\/3949 and -50\/2513.\nAnswer: 27643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 + 24*y**2 + 2*y + 28. Give r(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 135 a factor of 1082346840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 + 1 - (-161 - -145)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 818177175\/2674 - 305975. Find the common denominator of z and 51\/4.\nAnswer: 5348","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3 - (-4 + 3)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1094 and 9299?\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 50691464 to the power of 1\/2, to the nearest integer?\nAnswer: 7120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*(16\/6 + -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.996 and -5.\nAnswer: 4.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 8167097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -48*10\/40*-5*(-102)\/85?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -954 + 984 - (20 - 1)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*i**4 + 4*i**4 - 2*i**4 + (-25 + 2*i**2 + 25)*(-2*i**2 + 3*i**2 + 3*i**2).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 8, 33, 56, 77, 96?\n\"Answer: -u**2 + 28*u - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1795024 by 40796.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 10*a**2 - 4050*a - 4114. Let p(n) = 9*n**2 - 4057*n - 4111. Let o(k) = 5*g(k) - 6*p(k). Determine q, given that o(q) = 0.\nAnswer: -1, 1024","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of 12*c**7\/7 - 3*c**4 - 61*c. What is the third derivative of d(o) wrt o?\nAnswer: 4320*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/2125, -41, -741 in decreasing order.\nAnswer: -3\/2125, -41, -741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -27*5\/(1085 - 0). Let l = d - 5\/31. Let x = 7 - 3. Sort x, l, 0.2 in decreasing order.\nAnswer: x, 0.2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.8 + -3. Let q(s) = s**3 - 6*s**2 - 2*s - 19. Let b be q(7). Let w be (-3)\/(-20)*(-21 + b). Sort x, 2, -2, w in descending order.\nAnswer: 2, x, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3810 + 3835. Suppose 3*j - 649 = -247. Suppose 0 = 3*z - z - j. What is the remainder when z is divided by b?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 3*x - 5)*(4980 - 3*x + 22*x - 5*x - 15*x).\nAnswer: -3*x**2 + 14940*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 - 13. Suppose 131 = 2*h + w. Suppose 3*p - 2*p = h. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -27*k - 150 + 42. Let v(y) = 0*y + 8 + 2*y + 0. Let n be v(k). Is -2\/61 at least n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 AM and 8:10 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - r + 5, -4*a - 4*r = -1 - 19. Let d be a - (4 + -2 + -11). Suppose g = 4*g - d. Solve 2 = -n + g for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58329 to the power of 1\/2, to the nearest integer?\nAnswer: 242","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -2981.367?\nAnswer: 2981.367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 277*l**3 + 281*l**3 + 280*l**3 - 836*l**3.\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 0*q - 78 = q, 2*l + 4*q = 58. Let r = 58 + l. Calculate the remainder when r is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((3 + 4 - 6)*(2 - 4 + 4) + 2 - 2 + 4)*(77*w - 12 - 184*w + 33*w)*(w**2 + 4*w**2 - 6*w**2) as b + q*w**3 + j*w + o*w**2 and give o.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -2*q + 9 - 9 + q. Let n(j) = -45*j**2. What is n(u(z))?\nAnswer: -45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(108) + 1 + -5 + (sqrt(108) + 6*3*sqrt(108) - sqrt(108)) + -3 + 2)**2.\nAnswer: -1140*sqrt(3) + 39013","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, 262, 4 in ascending order.\nAnswer: 4, 5, 6, 262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 54013 and 0.3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -3*t. Let k(w) be the first derivative of 11*w**3\/3 - 10. Calculate x(k(i)).\nAnswer: -33*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 5, 0.1, 15, -0.0353, -5?\nAnswer: -0.0353","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-16)\/(-40))\/((-4 - -2)*(-3)\/30). Let r(u) be the second derivative of -7\/2*u**y + 0 - 7\/12*u**4 - 1\/20*u**5 + 5*u - u**3. Determine r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 417 + 37 = c, 0 = -3*d - c + 274. What is the greatest common divisor of 80 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*w**3 - 502*w + 502*w.\nAnswer: -22*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 36 - 30. Let a = -16.3 + 16. What is the second smallest value in 4, f, a?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 540 + -540. Factor -4\/9*o - 2\/9*o**5 + i + 14\/9*o**2 - 2*o**3 + 10\/9*o**4.\nAnswer: -2*o*(o - 2)*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 59 and 672187.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 602836 is divided by 106?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * 92985\nAnswer: -37194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**3 + 474*x**2 + 24240*x + 403200.\nAnswer: 3*(x + 40)*(x + 48)*(x + 70)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the third derivative of 0*o**3 + 1\/8*o**4 + 0*o + 2*o**2 + 0. Let v(z) = -z - 4. Let n(q) = -6*q - 36. Let w(u) = n(u) - 9*v(u). Calculate w(i(k)).\nAnswer: 9*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 347 divide 41296817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(147) + sqrt(147) + -1 - sqrt(147))*3 + sqrt(147) + -1 + sqrt(147)*-1 + sqrt(147))**2 + (3 + -1*(-4 + (sqrt(147) + 0 - sqrt(147))))**2 + 4.\nAnswer: -336*sqrt(3) + 2441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 511092180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2*c + 19 = 0, c = -3*c - 8. Suppose f*t = 3*q - 5, -4*t = -q + 5*q + 4. Let s be (q - 1)\/(1*3). What is the third biggest value in -2, s, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -31063004+4\nAnswer: -31063000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/577 - -4619\/1731. Let z(j) be the first derivative of -6 + 0*j - x*j**3 + 0*j**4 + 0*j**2 + j**5. Find the third derivative of z(b) wrt b.\nAnswer: 120*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkkkkkqkkqkk. Give prob of picking 2 q.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -30, -0.3 in descending order.\nAnswer: 5, -0.3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10120921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 9*u + 26. Let b be s(-7). Let a = b - -36. Let p = 1\/85 + 16\/85. Which is bigger: p or a?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s + 22. Let y(f) = -1. Determine t(w) + 3*y(w).\nAnswer: -8*w + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1809227.\nAnswer: 7, 36923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/(-35) - 116\/(-5). Let f = 47.09 + -47.19. Which is smaller: f or b?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14028 and 938?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 18 = -2*q. Suppose -15 = -115*u + 110*u. Let d(f) = -9*f**2 + 3*f**2 - 56*f**3 + 108*f**3 - 6 - 53*f**u. What is d(q)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in three tenths of a kilometer?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 0*w = -9. Let a be (4\/(-10) + w\/15)*-5. Let u be 0\/(a + -1 - (-4 - -6)). Solve 4 = h - u*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*g = 2*g - 252. Let h be 76\/16 - (-3)\/12*1. Sort h, -9, -1, g in increasing order.\nAnswer: -9, g, -1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.66 - 0.33. Let h = -123297 - -123296.6700025. Let a = h + c. What is a rounded to 6 decimal places?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 14*c - 14. Suppose -2*o = 4*q + 2, -4*o = 5*q + 8 + 2. Let d = 1 + 15. What is the smallest common multiple of y(q) and d?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11\/33 + 7\/(-3). Let q be (-4)\/(14 + w)*-5*3. Find the third derivative of -14*o**5 + 21*o**2 - o**2 - 4*o**2 + 12*o**q wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*h + 8*h - 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*i - 19 = -9*i + 16 for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from qpzkzpsq.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 11865056 divided by -73696\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j + 5. Let l(k) = -k + 3. Suppose 1 = 4*b - 19. Let w be 1\/(-3) + 2 + 87\/(-9). Determine b*g(r) + w*l(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*3*(sqrt(99)\/(sqrt(18)\/sqrt(6)*2))\/((sqrt(396)*2 - sqrt(396))*1).\nAnswer: 5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**6\/10 - 9*p**5\/20 - p**4\/4 - 7*p**2\/2 - 2. Let o(z) be the second derivative of y(z). Solve o(f) = 0 for f.\nAnswer: -2, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-211 - -146) + -50 - (-10 - 1)?\nAnswer: -104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -9234 and 2140017.\nAnswer: 2130783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*z**2 - 71*z.\nAnswer: -388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2\/17, 3791, -0.2 in increasing order.\nAnswer: -0.2, -2\/17, 5, 3791","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 77? (a) 1665 (b) 0 (c) -34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.2, 0.3, -1.1, 9\/8, 6 in decreasing order.\nAnswer: 6, 9\/8, 0.3, 0.2, -1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of (-3)\/(12\/(-28)) - (-955 + 6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 221 - 220.9492. What is j rounded to 3 dps?\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g + 6. What is the units digit of z(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*u + 2*i = -2*u + 4, 4 = -u + 2*i for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -57, -117, -177, -237, -297?\n\"Answer: -60*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -14*g - g - 5*g - 2*g**3 + 19 + 0*g wrt g?\nAnswer: -6*g**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6\/5 in 3\/23, 0, -21, 3\/8, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13293?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 10) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 14 = -2. Calculate the lowest common multiple of 6 and b\/(-32) - (-126)\/8.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/213543 and 37\/5049?\nAnswer: 3630231","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/63094128 and 61\/240.\nAnswer: 315470640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11861?\nAnswer: 29, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*b*i**3*v + 2*b*i**2*v - 340*b*i**2 + b*v - 12*b + 10*i*v - v wrt i?\nAnswer: 24*b*i*v + 4*b*v - 680*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/(-5))\/((3\/(-3))\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1728))**2 - sqrt(48) - (sqrt(576) + sqrt(36))\/sqrt(12)) + -2.\nAnswer: -9*sqrt(3) + 1726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -3, -148 in descending order.\nAnswer: 1\/2, -3, -148","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 21*a**2 - 9679*a + 56412. Calculate s(455).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of 271*n**4\/4 - 5*n**3\/3 + 4*n**2 - 160*n. What is the tens digit of z(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27430?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/71)*l)\/l)**(-15)*(l\/l**(-2\/31))\/(l*l**(-28)) assuming l is positive.\nAnswer: l**(60840\/2201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 + 5*y**2 - 4*y. Let p be x(-5). Suppose 25088 = -8*k + 40*k. Is k\/p - 2\/10 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 802441 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3184803 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 114 a factor of 411230262?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3132 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -43843, -87695, -131561, -175447, -219359, -263303, -307285?\n\"Answer: -l**3 - l**2 - 43842*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - 1. Let r(a) = a - 16. Suppose -2*z - 7 = -19. Let b be r(z). Let j be c(b). Solve -j = -3*o + 4*h - 2*h, 2*o = -5*h + 6 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 3*j = 12. Differentiate -78 + 28 - j*h**3 + 5*h**2 - 56 + 2 with respect to h.\nAnswer: -18*h**2 + 10*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1469*x**3 + 582*x**3 + 2 + 38*x**3 + 174*x**3 + 0 to m*x**2 + p*x + b + h*x**3 and give h.\nAnswer: 2263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*l**3 - 3336*l**2 + 198627*l - 383934.\nAnswer: 3*(l - 1049)*(l - 61)*(l - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4104127 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -26*j - 371. Determine i(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*s + 53*s + 0*n + 5 = -n, 31*s - 5*n = 25 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/(-9)*3*1. Solve s = p - 3, -3*s - 11 + 37 = h*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -a85050 - -38?\nAnswer: -a85015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3755002344.\nAnswer: 2, 3, 4289, 36479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -5*c + 1. Let i(k) = 4 - k**3 - 7*k - k + 5*k + 7*k**2. List the prime factors of i(c).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffvfff.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + d + 10 = 0, -5*f + 185 - 155 = -5*d for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 1 - 0\/3. Suppose -6 = -o*w - w. Calculate the highest common divisor of w and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -32d + 42a62a?\nAnswer: 42a2db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 92 - 88. Let k be (-2 + 2\/2)*-5. What is the closest to 0.1 in k, r, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -19*d + 3. Let c(g) = 1883361*g. What is h(c(q))?\nAnswer: -35783859*q + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1641 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k + 2. Let n be r(-3). Suppose 5*l - 3*b = n, 0*b = 2*b - 2. Suppose 0 = -5*t + 4*d + 2461, 3*t + 3*d - l*d - 1471 = 0. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 19*v**2 - 3. Let l(b) be the third derivative of -25 - 2*b**2 + 0*b + 0*b**3 + 1\/24*b**4. What is o(l(f))?\nAnswer: 19*f**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5 - 5 - 115*-1. Let z(b) = -2*b**2 - 84*b + 1319. Let t be z(12). What is the greatest common factor of q and t?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -296929 or -296905?\nAnswer: -296929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*f = -3*i + 47*f + 23, 5*i + 5*f - 25 = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 1 + (-1712)\/1714. Let x = 30003\/6856 - r. Let w = 42\/13 + -249\/65. What is the common denominator of x and w?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h**3 + 172*h**2 + 356*h + 180 = 0 for h.\nAnswer: -1, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/8 - 5\/10. Suppose -4*s = 5*b - 304, -5*b - 122 = -2*s - g*s. Is s a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 - l**2 + l - 1. Let v(n) = -6*n**3 - 2*n**2 + 4*n - 57. Give -2*o(x) + v(x).\nAnswer: -4*x**3 + 2*x - 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -62*a + 3*a + 14*a = 19*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -276 + 92 = -4*y. Let b = y + -139\/3. What is the nearest to b in 0.4, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -82.993 from -37.46118.\nAnswer: 45.53182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) 0.033 (c) 5 (d) 19 (e) -7.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t - 2 = 2*t. Let x = 3 - t. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*u**2 + 9*u**2 - u**2)*(-574 + 574 - 43*u**3).\nAnswer: -86*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/2618 and -15\/518?\nAnswer: 96866","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x**2 - 9*x - 13. Let t be m(10). Let p = 2 - 2.04. Let g = p + -0.06. Is g equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-1) - 0)\/(-1). Suppose -2 = k*s - 4. Is s greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 7 - 1 = 0. Let l(v) = 2*v**2 - 5*v + 6. What is the remainder when 35 is divided by l(a)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1\/27169 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 28\/4033 and 23\/150479.\nAnswer: 16402211","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 2 - -2) + 0. Suppose 2*p = 4*p + 3*d - 11, 2*d - 22 = -5*p. Let h be 2\/(3*p\/9). Are o and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 12871?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-26 - -42) + 0)\/((-1)\/(1 + -2)). Solve -y - 4*g = -o, -404*y + 399*y - 5*g = -20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -4*s. Let x(m) = -29*m + 783. Determine x(u(p)).\nAnswer: 116*p + 783","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 106723307 and 762?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3718.2*0.5.\nAnswer: -1859.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -57, -6, 2, -2, 1, 8 in decreasing order.\nAnswer: 8, 2, 1, -2, -6, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/13))**(-2\/67) assuming u is positive.\nAnswer: u**(4\/871)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-105)\/(-28))\/((-35)\/140).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 10 - 14 = -3*s, -s = 4*i - 23. Let t be (((-21)\/28)\/(-3))\/((-2)\/(-32)). Solve o - 4*o - 8 = -i*y, -t = -4*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17797349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 9:33 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 91392357?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*d + 891154 = -349669. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 + -8. Let i(m) = -2 + m + 6*m + 8. Let j(l) = -l - l - 4 - l + 1 - l. Give y*i(t) + 5*j(t).\nAnswer: t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101210100 + 12?\nAnswer: 101210112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 544*w**3 + 0 + 0.\nAnswer: 544*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 + 12. Suppose 5*b + 74 = 3*k, 5*k - b = -0*b + 116. What is the second derivative of -k*h - 98*h**r + 72*h**3 - 11*h wrt h?\nAnswer: -156*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 4, w: 7}. Give prob of picking 2 y and 1 w.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 + 2. Sort f, 2, -1, 5.\nAnswer: f, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*b + 101 = 0, -5*l - 2*b + 68 = -3*l. Let k(x) = -3*x - 4. Calculate the remainder when l is divided by k(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 + -19.6. Which is bigger: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 291023, -6\/5?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 3*d + 15 = 0. Let m be 1 + (-1 - (1 + -4)). Let c(x) = 5*x**2 - 2*x + x**2 + x**m - 3*x**2 - d. Calculate c(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/4*((-217)\/(-62))\/((-35)\/(-40))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 - -21. Find the common denominator of (-17)\/(-22)*(-6)\/2 and (-18)\/(-4)*(-26)\/r.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a centimeter?\nAnswer: 9000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-3 + (sqrt(20)\/sqrt(4))**2)*-5.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19 - 19 - 11)*(2 - 2 + 2*x)*(-4*x + x + 2*x)*(-1 - 4 + 3).\nAnswer: -44*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 413 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the first derivative of j**6\/240 - 7*j**5\/80 - 9*j**4\/8 + 122*j**3\/3 + 70. Let x(g) be the third derivative of w(g). Factor x(h).\nAnswer: 3*(h - 9)*(h + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 - 2\/(8\/(-876)). Which is smaller: 217 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - o + 4 = 0. Suppose 2*v - 5*i + 13 = v, 17 = 4*v + 3*i. Solve -v*c + 10 = o for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60217, 56958, 51527, 43924, 34149, 22202, 8083?\nAnswer: -8208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15*j**3*n**2 - 54*j**3 + 24*j**2*n**2 + j wrt n?\nAnswer: 30*j**3*n + 48*j**2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -79*g**2*s + 1686*g**2 + 141*s + 65 wrt s.\nAnswer: -79*g**2 + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 13, -8, -43, -98, -179?\n\"Answer: -j**3 - j**2 - 11*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, 3, -4 in decreasing order.\nAnswer: 3, 2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 15190 and 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 66\/4 - (-3)\/(-6). Suppose -5*i = 3*n + 7, 3*i - 3*n = -i + l. Calculate the greatest common factor of i and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -251, -252, -253, -254, -255?\n\"Answer: -u - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*b + 325 = -82. What is the remainder when 256 is divided by b?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -405793\/18 + 22547. Find the common denominator of s and -88\/10353.\nAnswer: 62118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*k + 12 = 0, -9*k + 4 = 2*o - 5*k for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dxxxdwxw. What is prob of sequence wwd?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.96 - -0.15. Let q = 0.11 - v. Which is bigger: -1 or q?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*n - 2*n + 2*n)*(-5 + 0 + 3)*(-6*n + 12*n + 3*n).\nAnswer: -72*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -8557240 rounded to the nearest 10000?\nAnswer: -8560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1047, 232, -1, -2, 0, -3 in descending order.\nAnswer: 232, 0, -1, -2, -3, -1047","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 131, 523, 1177, 2093, 3271, 4711, 6413?\n\"Answer: 131*t**2 - t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3 - 30*w**2 - 161*w = 0. What is w?\nAnswer: -23, -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*r**5\/5 + 33*r**4 - 30*r**3 - 132*r**2 + 648*r\/5 = 0. What is r?\nAnswer: -2, 0, 1, 2, 54","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7ba0a0 (base 15) in base 7?\nAnswer: -101126553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1154481 rounded to 4 dps?\nAnswer: -0.1154","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -66 - -71. Let n be -3 + (c - (-3 - -4) - 2). Let b be (1*-7*1)\/3. What is the nearest to 0.1 in b, n, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41274000 rounded to the nearest 100000?\nAnswer: 41300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/8)\/((-28)\/8)\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*s = -10, 2*y + 8 = -0*y + 2*s. Let u be 9 - (-20 + (-20685)\/(-714)). Which is bigger: u or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that u**5 + 5*u**4\/4 - 27*u**3\/4 - 11*u**2\/4 + 23*u\/4 + 3\/2 = 0.\nAnswer: -3, -1, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14715?\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 + 18 = 2*x. Let k be x*(9\/(-6) - -1). Let v = 57 + k. Calculate the greatest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 8 = -85*t + 84*t, -3*t + 19 = -2*w. Solve 5*m + 6*p - 20 = p, 4*p - 11 = -t*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(6\/11))**(29\/4) assuming l is positive.\nAnswer: l**(87\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a century in decades?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 32984\/3 + -164992\/15. Let t = 3433180\/541 - 6346. Calculate the common denominator of t and x.\nAnswer: 2705","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 79 + 98. Suppose -4*s + v = -s. Suppose -176 = -3*g - 4*q, -q + s = -g + 2*g. Is g a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j + 37. Let p be w(23). Let r be (-3)\/p + (-3100)\/(-15). Let o = 321 - r. List the prime factors of o.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - p + 22 = 0, -6*h + 32 = 5*p - 90. Suppose 4*r + 134 = -s, 5*s - 122 = 4*r - 0*r. Let q = r + 129. Calculate the highest common factor of q and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, -13799.4, -0.4, -0.01, -1\/2, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f - 5*g + 295 = 5*f, -g = -3. Let b = 15 - 8. What is the highest common divisor of f and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -1, 2, 0, 0.05 in increasing order.\nAnswer: -1, -0.5, 0, 0.05, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.17 and -892.5.\nAnswer: -890.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((4*sqrt(80)*-1)**2 + (4*-1*sqrt(80))**2).\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s + 1. Suppose 3*c = j - 2*c - 33, 5*j - 3*c = 55. Give h(j).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13870000 rounded to the nearest 100000?\nAnswer: -13900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 - (2 + -1)*1. Suppose -15 = 4*s + 5*x, 2*s - c*x = -0*s + 6. Let r = -1107 + 1110. Solve 8*a - r*a = s for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -6*l**2 + 5*l - 5. Let r(k) = 2*k**2 - 2*k + 2. Let t(c) = -3*d(c) - 8*r(c). Let i be t(1). Is i\/(6\/(-3)) - -70 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 16592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/20691 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1118?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 25 + -7328120991079.\nAnswer: -7328120991054","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 706380320 divided by -9545680?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -6*q**3 + 7*q**2 - q + 2. Let b(s) = -7*s**3 + 7*s**2 - s + 2. Determine 2*b(g) - 3*u(g).\nAnswer: 4*g**3 - 7*g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 122019 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + m**2 - 5*m - 2. Suppose -310*r + 652 = -314*r. Let a = r + 160. What is f(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 19 = 21, -5*l = f + 17 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25857)\/(-6) - (-9)\/18. Round h to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -691*k - 11. Let f(n) = 3444*n + 57. Determine 2*f(j) + 11*u(j).\nAnswer: -713*j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*v + 2*v - 7 + 4)*(-1 - 5 + 2)*(-2*v**2 + 3*v**2 - 2*v**2) + v**2 + 5*v**3 - v**2.\nAnswer: -3*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6444517.\nAnswer: 6444517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2\/(-66))\/(1\/(-3)). Let p = 3 - 2. Let z = p + 0. What is the closest to z in 5, k, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*w - 150*w + 64860 = 0. Calculate the least common multiple of w and 276.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8\/433 - -23294\/4763. Let f be (1\/3)\/((-11)\/113889). Let y = -3454 - f. Calculate the common denominator of y and o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 743477.\nAnswer: 7, 15173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 11*o**2 - 10*o + 1. Let n = 6 + -16. Let f be h(n). Let i be -2 + 1 - f*-1. Solve 11 = -3*g + g - t, g - t + 1 = i for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34251083 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 1081*s. Let n(q) = -q. Determine n(o(k)).\nAnswer: -1081*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 185*p + 123*p = -120*p + 97*p + 29459 for p.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a55b60 - -6?\nAnswer: 1a55b66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76.9 - -74. Let y = 3 + i. What is the nearest to -1\/3 in -1, -2\/9, y?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -271*o - 12441*o**6 + 98*o - 20*o**2 - 171*o**6 + 679*o**6 wrt o.\nAnswer: -1431960*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 96.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5 - (-1 - (0 + 2)). Let w = 6 + c. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + a**2 + a**2 + 3 + 13*a**4 to the form p*a**4 + w*a**3 + t*a + g*a**2 + z and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Let n be -1*1 + (5 - 2). Suppose n*b = -f*b. Solve 2*o + 6 + b = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**2\/4 - 393*v\/2 + 51483\/4.\nAnswer: 3*(v - 131)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n*(n*n*n**(-9)\/n*n)\/n*n*n*n)*n*n**(-5\/6)*n*((n**(-1\/9)\/n)\/n)\/n**0)**(24\/11) assuming n is positive.\nAnswer: n**(292\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1145202.\nAnswer: 2, 3, 31, 47, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11364*g**5 - 1700821*g**4 - 1103655*g**3 + 3942435*g**2 - 1125701*g - 894 = 0. What is g?\nAnswer: -149, -2, -3\/3788, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -144 - -488\/3. Let l = 58\/3 - r. Is 4\/5 smaller than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -472 (base 10) to base 7.\nAnswer: -1243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 3*s - 33. Solve -3*k + 4*z - 12 = z, 0 = 4*k + z - s for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 41 and 852?\nAnswer: 34932","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of -29\/2*n**2 + 0*n**5 + 0*n**4 - 27 + 0*n + 1\/3*n**6 + 10*n**3. What is the second derivative of i(d) wrt d?\nAnswer: 40*d**3 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2296, -9205, -20706, -36787, -57436, -82641, -112390?\nAnswer: -146671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ujm when three letters picked without replacement from {x: 2, j: 1, u: 2, m: 1, f: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -28017.5 to the nearest 1000.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 167\/23 (b) -1\/9 (c) 2\/5 (d) -0.2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12671b (base 12) to base 7.\nAnswer: -2364413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*v**3 - 16*v**2 + 16*v**2.\nAnswer: 39*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.11349 + -4.94351. Round c to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 4*j - 5*g, g + 9 = 4*j - 2. Let w be (373\/3357)\/(3\/81*3). Let b be 10\/2*(-3 + 2). Put w, -4, b, j in decreasing order.\nAnswer: j, w, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (26\/16 - 1). Let w = -2638\/3 + 879. What is the nearest to w in 0.3, f, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -d**3*t**4 + d**3 - d**2*t**2 + 13*d*t**4 + d*t**3 + 1016*t**2 wrt t?\nAnswer: -24*d**3*t + 312*d*t + 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 2*v - 12 + v + 0*v. Let q be 12292\/(-878) - (1 + 2). Let i(r) = -r + 4. What is q*i(u) - 6*y(u)?\nAnswer: -u + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.04*4623294\nAnswer: 184931.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2840 is divided by 563?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4799.6 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) -0.171 (c) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 4*p - 2 = 0, 5*o + p - 49 = 4. What is the remainder when 17 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-9)\/(36\/20) - (2 + -9). What is the third derivative of 32*h**3 - 17*h**2 + 127*h**3 - 88*h**3 + 2*h**2 + 69*h**3 - n*h wrt h?\nAnswer: 840","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -846 + 223. Let d = -114 - z. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -340*q + 124*q = -1080 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5\/2 + 89991*g**4\/4 - 337274973*g**3\/4 - 1181430003*g**2\/4 - 506385009*g\/4 = 0. Calculate g.\nAnswer: -3, -1\/2, 0, 7501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 52052511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -9. Suppose 0 = -k - 4*t + 18, 6 + 4 = -g*k + 5*t. Solve -6 = 2*y - 2*l, -l + k = 3 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -169, -929, -2275, -4207, -6725?\nAnswer: -9829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1*-149)\/((-1)\/(-313)). Let d be (-14)\/((-392)\/547659)*4. Let b = z + d. Round b to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1260 - -1720. Calculate the least common multiple of 3 and y.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 544955529?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 14541? (a) -3 (b) -1\/2 (c) 2 (d) 0.5 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4.9492 - -0.0508. Which is the third biggest value? (a) m (b) -1 (c) 2 (d) 0.022\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 30\/11 - 2\/11*v**3 - 62\/11*v + 34\/11*v**2.\nAnswer: -2*(v - 15)*(v - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 616\/225 + -322\/75. Put 4, 2\/3, z, -3\/4 in decreasing order.\nAnswer: 4, 2\/3, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -73, 0, 5, 7, -67 in decreasing order.\nAnswer: 7, 5, 0, -67, -73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-4)*4\/4. Suppose 0*r - 3*g = -r + 7, -q = -3*r - g. Calculate the lowest common multiple of 2 and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10*r**3 - 8*r**3 + 16*r**3 - 18 with respect to r.\nAnswer: 54*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 23112\/81 - (-2)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 9) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4186163, 8372336, 12558509?\nAnswer: 16744682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lll when three letters picked without replacement from llllllllvlll?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28 + 43. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, 12, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 35? (a) 11 (b) -3 (c) 1\/2 (d) 6\/17 (e) 24\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22365 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47\/10627 or 1?\nAnswer: -47\/10627","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p - 2*p - 6*p)*(3 - 4 - 1)*(1 + 2 - 5).\nAnswer: -16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 145972932?\nAnswer: 2, 3, 7, 1737773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 126 divide 191394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 120 and 636645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**2 - 213*k + 1043. Determine t(208).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-1)\/7 - (-2712)\/21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(-9)*35\/(-14). Let t = 2 + -2. Which is bigger: g or t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -100? (a) -3\/14 (b) -0.3 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 25 = 3*x, -4*d + 5*x - 1 = -0*d. Let l = -6 - d. Let h = l - -5. Sort 5, h, 1 in descending order.\nAnswer: 5, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g**3 - 29*g**2 + 6*g - 22. Let z be a(-15). Suppose 6*m = -z + 479. Let q = m + -13. List the prime factors of q.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10847 + 21727\/2. Let v(n) be the first derivative of -g*n**2 + 0*n - 6. Let q(d) = 2*d. Give v(q(a)).\nAnswer: -66*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/70)\/(20\/30*(-9)\/5)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*m**3\/7 - 16*m**2 + 6*m\/7 = 0. What is m?\nAnswer: -3, 0, 1\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48.7 + 49. What is the second biggest value in 3, u, 0.4, 0?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a micrometer in nanometers?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(11) + 1))**2*-4.\nAnswer: -432 - 72*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1905313*x**5 + 13*x**2 - 89554328*x wrt x?\nAnswer: -38106260*x**3 + 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -7765343712 - -0.07?\nAnswer: -7765343711.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1967*a + 21435 = -9112*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -112 + 115. What is the nearest to 0.09 in 0.5, -5, v?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1679 is divided by 81.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 71, 633, 2157, 5123, 10011, 17301?\nAnswer: 27473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 2*c - 3 - 19 + 76 - 23 - 37.\nAnswer: -4*c - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(1\/8)*((q\/(((q*q\/((q*q*q*(q\/(q**(-1)\/q*q)*q)\/q*q)\/q))\/q)\/q))\/q*q)\/q)**(-1\/11)*((q**2)**(-45))**49 assuming q is positive.\nAnswer: q**(-388129\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92732060.\nAnswer: 2, 5, 4636603","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -b - 2*b. Let u(x) = 4*x - 2*x + 7*x - 3*x + x**2 + 6. Let a be u(b). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 339573020?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 14*m - 280 = 0. Suppose 0*y = 2*y + 3*n - m, 5*n = -4*y + 42. Calculate the least common multiple of 5 and y.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 866*f**3 - 2*f**2 + 1. Suppose -6*v + 2 = -4*v. Let u be j(v). Let n = u + -305. Round n to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -3*s**3 - 23*s + 11. Let v(d) = -d**3 - 8*d + 4. Calculate -4*g(i) + 11*v(i).\nAnswer: i**3 + 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -366929503, -366929499, -366929493, -366929485, -366929475, -366929463?\nAnswer: -366929449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h. Let p(t) be the first derivative of 793*t**2\/2 - 726. What is m(p(w))?\nAnswer: 1586*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -136 - -216. Is 8 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the first derivative of -27 + 57\/10*s**4 - 3\/2*s**6 + 0*s - 12\/5*s**2 + 4\/5*s**3 + 33\/25*s**5. Determine o, given that q(o) = 0.\nAnswer: -1, -2\/3, 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(48)\/sqrt(4) - (sqrt(12) - -3*sqrt(48)\/sqrt(4)))\/(1*sqrt(256)*1).\nAnswer: -5*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*i, 0 = 2*g - 10*i + 6*i - 2618. What is the thousands digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -146 + 145. Let y(i) = -63*i**3 + 2*i + 1. Calculate the remainder when y(h) is divided by 4*(26\/(-8))\/(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 20\/(-60) + (-2)\/(-42). Which is smaller: -0.02 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18352063*k**5 + k**2 + 409723*k - 7 wrt k?\nAnswer: 1101123780*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*r - 4*g, 2*g - 6*g = 3*r - 35. Let b(u) = u**3 + 5*u**2 - 7. Let x be b(r). Let k = -153 + x. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 895681 divided by 1?\nAnswer: 895681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 931*h - 3910*h + 1530*h + 1447*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6\/5*u**3 + 6\/5*u + 2\/5*u**4 + 2\/5*u**2 - 4\/5.\nAnswer: 2*(u - 2)*(u - 1)**2*(u + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (145\/174)\/(5\/(-3))*(-4848)\/3838\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -6*3\/12*-4 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109362521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11685 to the power of 1\/2, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (20500\/1000 + 1 + -22)\/(0 + 1\/(-40))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2.771 (b) -2\/11 (c) 36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**2 - 11*n + 5. Let a be t(-5). Suppose 0 = -2*k - 3*x + 31, -5*x - a = k - 2*k. What is the units digit of (-20)\/4*92\/k*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-5) - (-4732)\/70. Suppose -u*t = -72*t + 200. What is the remainder when t is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -452169, -451835, -450935, -449187, -446309, -442019?\nAnswer: -436035","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 315880883 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -11 + 10 - (7 - 15)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4051734433 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -23*m**2 - 129*m - 2. Let k be b(-6). Let i be (-3)\/((-147)\/k) - -1. What is the closest to -2 in -5, -1, i?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from ldpld?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from roccrgzg. Give prob of picking 1 c, 1 z, and 2 g.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 547, 982, 1415, 1846, 2275, 2702, 3127?\n\"Answer: -b**2 + 438*b + 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 985293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*t - 3*i = 90, 41*i - 12 = 4*t + 45*i for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10371 to the power of 1\/4, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7.5 - -10.5. What is the nearest to -0.01 in m, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 477733 and 21298?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9\/29? (a) -4 (b) -2 (c) 3 (d) -59 (e) -3 (f) 2\/17\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**2 - 3*q - 1. Let t be p(4). Suppose t*h = 3, 3*f - 8 + 0 = h. Suppose -2*j + 35 = f*j. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 120*a + 3258. Calculate j(-27).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -q + 3. Let b be 6\/q + (2 - 3). What is the nearest to -2\/3 in b, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 2. Let x be y\/((-3)\/3) + 3. Suppose -q = -6*p + x*p + 77, -76 = -3*p + 2*q. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/((-434)\/(-31)))\/(-34)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0180941153 rounded to three decimal places?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536357 is divided by 465?\nAnswer: 462","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**3*c**(-7)*(c\/((c\/c**(-2\/3))\/c)*c*c)\/((c\/(c\/(c\/c**4*c*c)*c))\/c))\/((c**(1\/3))**(-10\/19)*(c**(2\/9)*c)**48) assuming c is positive.\nAnswer: c**(-1086\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g + 0 + 0)*(-5*g - 2*g + g)*(48*g - 92*g - 88*g)*(2 - 3 - 3) as y*g**3 + f*g + v*g**2 + a and give y.\nAnswer: 6336","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1347417 - 60?\nAnswer: -1347477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 95 a factor of 41746?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + 4\/16 + (-143)\/12. Let r = -18 + 6. Let o = k - r. Are o and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*s - 12*s + 86*s)*((-1 + 3 - 1)*(-3*s**4 + 3*s**4 - 2*s**4) + (-4*s**3 + 8*s**3 + 8*s**3)*(-4 + 4 + s) + 0*s**3 + 0*s**3 - s**4).\nAnswer: 603*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 67.777 + -67.4. Let u = f + -0.577. Put u, 6\/7, 4, -6 in descending order.\nAnswer: 4, 6\/7, u, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 33*l**2 - 1212*l + 148. Let m be y(37). Calculate the highest common divisor of 2522 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 26520?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14 - -9) + (-2 - -1) + (45 - (17 + -16))?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3485*i**3 - 2774 - 3492*i**3 + 6978*i**3)*(-i - i + 3*i) to m*i**4 + z + v*i + u*i**2 + f*i**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3928, 3985, 4042?\nAnswer: 4099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 2*l - 5 = 12, 2*p - 3*l - 3 = 0. Let t be 36\/p - (180 - 12\/4). Is t greater than -173?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let y(q) = q**2 - 1. Calculate 2*f(i) + 14*y(i).\nAnswer: 14*i**2 + 2*i - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71470 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 528 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**2 + 2*w + 1. What is the units digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 - 5*f**2 - f + 3. Let g be v(5). Let y = g - -5. Find the second derivative of y*j + j - 30*j**5 + 32*j**5 wrt j.\nAnswer: 40*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -118943.6 * 2\nAnswer: -237887.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a + 7a23?\nAnswer: 7a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -37*g**6 + 82149*g**3 - 15968252*g**2 wrt g?\nAnswer: -4440*g**3 + 492894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 34*d**2*i*z**2 + 37237*d**2*i - 53*d**2*z**2 + 81*d**2*z - 2*d*z**2 + d + 2 wrt i?\nAnswer: 34*d**2*z**2 + 37237*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6\/9 + 8\/(-9). Let q = -871\/9 - -97. Put q, l, 5 in descending order.\nAnswer: 5, q, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 275 + 87 + 93 + 94 + 1.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyyyyjyggtjjyf. Give prob of picking 1 t, 1 j, and 1 g.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -354 less than -23.0991?\nAnswer: 330.9009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -11074 - 3?\nAnswer: -11077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.3468 milligrams to grams.\nAnswer: 0.0433468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + 44\/20)\/(9\/(-60)). Let u(d) = -5 - d**2 - 16*d - 2 - 5*d. What is the tens digit of u(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 AM and 3:45 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11822 - -17052. List the prime factors of m.\nAnswer: 2, 5, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40847702 + 8.\nAnswer: 40847710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -4 - (0 - -53)*(-3 - -2). Differentiate -n + 35 - 63*g - 13*g - 45 wrt g.\nAnswer: -76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2474\/9 in 0.4, 27, 18?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000339 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4*h - h)*(-2 + 2 + 2)*(1 + 2 - 2)*(-42*h**3 + 39*h**3 - 365*h**3).\nAnswer: -736*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161 + -63. Let m be ((-7)\/((-147)\/(-18)))\/((-21)\/f). Solve -3*n = -2*d - 6, 9 = -3*d - m*n - 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-12)*w**(-3\/8))**(-15) assuming w is positive.\nAnswer: w**(1485\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 13*i. Let o be 6\/15 + 23\/5. Let f be s(o). Suppose 25 = 5*j - f. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 9072 = 32*a. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3380 - -3379.5. Sort 1\/7, l, -2\/9, 0.7 in ascending order.\nAnswer: l, -2\/9, 1\/7, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1468800 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add together 11 and -0.15.\nAnswer: 10.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 29 times 44\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 280 - 280.1. What is the second biggest value in c, 21, 1\/2, 0.3?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -725 + 757. What is the smallest common multiple of k and 52?\nAnswer: 416","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express p**2 - 12*p + 34*p - 3*p - 370 - 4*p - 14*p as u + v*p + k*p**2 and give u.\nAnswer: -370","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = v**2 + 8*v + 7. Let s be g(-5). Let a = -128 - -121. Let r = a - s. Which is smaller: r or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**3\/5 - 1778*g**2\/5 + 5372*g\/5 + 3568.\nAnswer: -2*(g - 5)*(g + 2)*(g + 892)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -t + 5, 24*t - 2*v = 27*t - 14. What is the biggest value in -1\/3, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**3 - 14*l**2 + 15*l - 10. Let m(n) = -n**3 - 3*n**2 + 3*n - 6. Let b be m(-3). Give h(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 4*s - 10. Let p = -9 + 16. Let b be x(p). Let u be 18\/(-126) - (-632)\/14. Calculate the highest common divisor of u and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -326 - -327. Let f be g + 0*(-2)\/(-8). Let y be (-4)\/(-9)*1\/4. What is the closest to 0.1 in -4, y, f?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 8 - -152?\nAnswer: 15a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 3060?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -35 - -2421260?\nAnswer: 2421222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f**2 - 18*f + 21. Let v be j(17). Suppose 3*c - 3 = -3*s, -5*c + 29 = -0*c - 3*s. Solve -c*b - b - v*l + 25 = 0, 3*b + 2 = l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 + 2. Let f(w) = 2*w**2 + 6*w + 4. Let b be f(-2). Suppose b = -5*u + 5*t + 35, -23 = -4*u + 2*t - 3*t. What is the remainder when u is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 61 - 56. Which is the third smallest value? (a) 3 (b) 4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 12. What is the remainder when (-8 - (0 - 2))\/(255\/(-680)) is divided by y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3452378\/29175 - -1\/9725. Let m = 115 + u. Do m and -4 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**3 + 66*w - 71*w + 3*w**3 + 7*w**2 + (-2 - 2 - 1)*(0 - w**3 + 0).\nAnswer: 4*w**3 + 7*w**2 - 5*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*p**2 - 2*p**2 + 4*p**2 + (-2*p + 0*p + 4*p)*(-p + 0*p - p) + 1 - p**2 - 1 + 3*p**2 + 0*p**2 - 2*p**2 + (3*p**2 - p**2 - 4*p**2)*(-1502 - 2395 + 1531).\nAnswer: 4730*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -135*w - 2292. Let l be y(-18). What is the highest common factor of 2162 and l?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/285, 126, 4\/7 in descending order.\nAnswer: 126, 4\/7, -1\/285","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.9 - 12.9. Let f = 15 + c. Sort 0.3, f, -2\/3.\nAnswer: -2\/3, 0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5938 is divided by 335.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -5735*h**2 - 12*h - 17. Let f(m) = 5742*m**2 + 14*m + 20. Calculate -6*f(a) - 7*k(a).\nAnswer: 5693*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of 0*o**3 - 1\/3*o**4 + 4 + 35*o - 21\/2*o**2. Let a(r) be the first derivative of y(r). Find the first derivative of a(p) wrt p.\nAnswer: -8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 8:49 PM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 493*t + 3*t**2 + 498*t - 1985*t + 2 + 498*t + 493*t. Suppose 0 = -0*s - 2*s + 4. What is k(s)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6131749 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1140 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + 10*h - 66 = 0. Suppose -46 = 4*t - h. Let w(i) = -3*i**3 + 12*i + 7. Is w(t) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18647 (base 16) to base 6\nAnswer: 2050315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -47200 rounded to the nearest one thousand?\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 + -3 - (2 - (526 + 9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375149 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 307.0715 centimeters to nanometers.\nAnswer: 3070715000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2898379 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + a - 200 = 0. Suppose y = 18 - 1. What is the remainder when a is divided by y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a**2 + 6*a - 8. Let r be d(-6). What is the highest common factor of 84 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**2\/(s*s*s**5)*s**(-1)\/(s*s**(-2)) assuming s is positive.\nAnswer: s**(-5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (3750\/(-8))\/((-10)\/(1920\/18)). What is y rounded to the nearest 10000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23714922 to the nearest integer?\nAnswer: 287","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 40 and 168?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.005 + -0.495. What is the smallest value in 0.1, -0.1, i, -0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**3 - 1 + 3*q - 2*q - q**3 + 3*q**2. Let v = 14 - 9. Suppose v = 3*u - 4. Give n(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 6 - 2*c**2 + 4 + 4*c**2 - 4 + 15*c. Let m be r(-8). Suppose -10*z = -m*z + 224. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (19 + -17 + 4 - 16) + -8\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 1. Let u be c(-5). Solve u*a - 8*a + 16 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 227381498 to the power of 1\/2, to the nearest integer?\nAnswer: 15079","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*s**2*t**3*u + s**2*t**3 + 102*s**2*t*u + 5*s*t**2*u + 2*s*t*u + 1592*t**3 wrt s.\nAnswer: 6*t**3*u + 2*t**3 + 204*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 181 + -180. Which is the third smallest value? (a) -1 (b) -4 (c) t (d) 6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = 5*s + 8872, -11492 = -3*t - 5*s - 2610. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/(-6) - 130\/(-30). What is the third derivative of 44*q**3 + 34*q**j - 3*q**5 - 44*q**3 - 16*q**2 wrt q?\nAnswer: 1860*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v - 4. Let w be j(-7). Let y(i) = -3*i - 4. Let m(s) = 0*s + 3 + 2*s + 0*s + 0*s. Give w*y(h) + 4*m(h).\nAnswer: -h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yljxpjt. Give prob of picking 1 p and 1 t.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2046*f + 2038*f + 128 = 0. Solve 4*w + f = 2*h, -5*w = -2*h - 1 + 21 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*d**2 + 68*d**3 - 70*d**3 + 2*d - 2*d**2 to l*d**3 + m + b*d**2 + v*d and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6992 - -7087. What is the lowest common multiple of 30 and j?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221 (base 3) to base 14.\nAnswer: -1b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1069566 is divided by 178261?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/((-42)\/70).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -231505 less than -5.752479?\nAnswer: 231499.247521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7527050.\nAnswer: 2, 5, 47, 3203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.0597 and -5.2698228.\nAnswer: -5.3295228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 20127.041 rounded to the nearest one hundred?\nAnswer: 20100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 7 - 1. Let j(p) be the second derivative of -p**4\/12 - p**3\/6 + 3*p**2\/2 - 135*p. Give j(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 10\/(-14) + 1 - (-22268)\/266. Let v = -80 + l. Solve -v = 5*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -7.7 (b) 12 (c) 1.7 (d) 1\/8 (e) 1\/3 (f) -10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(15\/(-150)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -18, -6, 6, 1, -5.\nAnswer: -18, -6, -5, -2, 1, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -24*h - 731. Determine l(-27).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.45652775 to 1 dp.\nAnswer: -6.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 174444979 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 334*a**3 - 15*a**2 + 29*a. List the prime factors of l(3).\nAnswer: 2, 3, 5, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -141\/5, 1, 0.5, 684 in ascending order.\nAnswer: -141\/5, 0.1, 0.5, 1, 684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312212 is divided by 1516.\nAnswer: 1432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -13748110, -27496197, -41244282, -54992365, -68740446, -82488525?\n\"Answer: t**2 - 13748090*t - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 - (0 - (0 + -14 + 8 - 0))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1068\/11 - 190\/11*l - 2\/11*l**2.\nAnswer: -2*(l + 6)*(l + 89)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -159 + 165. Solve 2 = -4*y + l*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21127\/22860 - 1\/508. Find the common denominator of -103\/588 and x.\nAnswer: 8820","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26043*z**2 + 52077*z**2 - 26047*z**2.\nAnswer: -13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 63*q + 2108. Give f(-33).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g - 1 + 17 = 3*x, 2*x - 24 = -4*g for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 200\/7? (a) -4 (b) -2\/3 (c) 0.45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/(1\/2*(-22)\/(-11))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 74023\nAnswer: -222069","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4\/131 + -2195\/1048. What is the common denominator of 119\/12 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 477\/(-63) - 252\/(-441)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 185*l**3 + l + 1. Let t be o(-1). Let h = t - -89. Calculate the remainder when 16 is divided by 9\/(-15) + h\/(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 575 is divided by 72.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 + 543*q**3 + 590*q**3.\nAnswer: 1133*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 101 and 1313?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.3 less than 0.21596387?\nAnswer: 8.51596387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4673*d**3*r**2 + 1104*d**3*r - 3*d**2*r - 134*d*r**2 + 56*r wrt r.\nAnswer: 9346*d**3 - 268*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 347467 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mjadfmfjfjddjjfdj. Give prob of sequence adm.\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2596165909?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t - 8 = 455*w - 459*w, 5*t = 20 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001111011111110100000 (base 2) in base 14?\nAnswer: 4bb488","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/5, -1\/5, -4261\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 574534782?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 180 is divided by 109?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -527*s**2 + 187*s + 374. Let k(f) = 17*f**2 - 6*f - 12. Determine 187*k(u) + 6*o(u).\nAnswer: 17*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 274 - 2479\/9. Which is bigger: -2 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*t - 377069 = -19*t. Let k = t + -21331373\/396. Find the common denominator of 19\/8 and k.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 46*y**3\/3 + 613*y**2 - 40*y\/3 = 0.\nAnswer: -40, 0, 1\/46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/2 - (9 + -83003). Is 7\/2 + -2 + s\/10 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 29070, 28254, 27438, 26622, 25806, 24990?\n\"Answer: -816*i + 29886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = -5*u + 204. Calculate the remainder when 779 is divided by u.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*q**2 + 6*q**2 + 21*q - 1432 + 1422 to the form g*q**2 + d*q + i and give d.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that v**5 - 51*v**4 + 471*v**3 + 91*v**2 - 7920*v - 7488 = 0.\nAnswer: -3, -1, 8, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -507 + -45?\nAnswer: -553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -450142340 times -0.2\nAnswer: 90028468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let v(a) = 509*a**2 - 27. Give v(k(p)).\nAnswer: 509*p**4 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0276 + -0.1276. What is the fourth smallest value in -0.5, v, 0.149, 1, -2?\nAnswer: 0.149","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 15 = 3. Let l be -2 - 2\/(-1)*z. Let v be 1\/(l - 4)*0. Solve -a - 3 = -v*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nmmn when four letters picked without replacement from {m: 10, n: 10}.\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/243783 and -76\/159.\nAnswer: 12920499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -197345000 rounded to the nearest one million?\nAnswer: -197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/(-3 + (-3)\/(-6)). Let h be 320\/(-56) - (-4)\/(-14). Let b be (11 + h)*n\/5. Solve 2*l - 12 = -b*k - 0, -k - 2 = -l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-45))\/(220\/90)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13770*q**3 - 4*q - 13562*q**3 + 7*q - 3*q.\nAnswer: 208*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -9*n**3 - 2*n**2. Let u be g(-1). Suppose 9 - u = t. Solve 2*p + t = -0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 12 = 0, 0 = -3*q - 2*w + w + 20. Calculate the least common multiple of 5 and q.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/8 and 4\/(-10) - (-1466)\/(-60)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 2*i + 87, i + 4*t - 34301 + 34185 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 1781 + 10084 = -3*i, 0 = j + i - 11885. Does 44 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9\/20 or 15?\nAnswer: -9\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 39 = 2*v. Suppose -3*f = -15, -5*y + 32 = -3*y + 2*f. Let z = y - 6. Solve -3*h + 4*a + 0*a = v, -z*h - 24 = -2*a for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 10*r - 15*r + 5*u, -57 + 14 = 12*r - u for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 724, 734, 744, 754, 764?\nAnswer: 774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) 0 (b) -0.1 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7, -87, -275, -595, -1071, -1727?\n\"Answer: -4*v**3 - 30*v**2 + 38*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 367328, 367291, 367246, 367205, 367180?\nAnswer: 367183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1547214227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184829?\nAnswer: 184829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -83 + 86. Solve w*a - 7*a + 4 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 17*f**2 - 9*f - 19. Let k(s) = -8*s**2 + 4*s + 9. Let c(p) = -4*g(p) - 9*k(p). Let i(x) = 6*x**2 - 7. Let d(r) = -7*c(r) + 5*i(r). Factor d(b).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*x = 474, 900 = -0*r + 4*r - 2*x. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -12 + 12.5. Put 5, b, 0.2 in descending order.\nAnswer: 5, b, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -15 + v**3 + 2*v**3 - 20*v - 4*v**3 + 22*v**2 - 6. Let p be k(21). Let g be p - 1\/6*2. Which is smaller: g or 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(sqrt(2) + 2)**2 + sqrt(10)\/sqrt(45)) + (2 + sqrt(288) + -2 + sqrt(288) + -1)**2*-6.\nAnswer: -6798 + 1099*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 27*l**2 - 3*l. Let h(j) = 27*j**2 - 4*j. Determine 4*d(x) - 3*h(x).\nAnswer: 27*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the first derivative of b**4\/4 - b**3\/3 - b**2\/2 - 4. Let w(z) = z**2 - 31*z + 27. Let h be w(37). Let l = -249 + h. Determine p(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.3129462 to four dps.\nAnswer: 0.3129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = 161*l + 65*l. Let n(s) = -s**2 + s + 1. Let i(v) = -108*v**2 + 81*v + 81. Calculate l*i(z) - 81*n(z).\nAnswer: -27*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o - 10. Let l be v(5). Let t be (-4)\/10 - 576\/(-40). Suppose 3*i - 7 = -2*k - 0, 0 = 3*i - 5*k - t. Sort i, -1, l in ascending order.\nAnswer: l, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 6 + 33502499*o + 0*o**3 - 6*o**2 - 33502500*o - o**3. What is i(-6)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -5*r - 6. Let t(k) = 5*k + 5. Determine -4*s(p) - 5*t(p).\nAnswer: -5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -0.1, 1\/8, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -11, -5, 0.04, 0.3 in increasing order.\nAnswer: -11, -5, 0.04, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.089 - 0.28. Round w to one decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.019 and -38298.\nAnswer: 727.662","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -891.2 and 3\/11 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -8016812 divided by -1\nAnswer: 8016812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 3*f - 98. Let j be m(34). Suppose 2*r = p - 428, 4*p - j*r - 2134 = -p. What are the prime factors of p?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = 2*s - 30. Suppose 4*j = -22 + 6. Let y = j - s. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2 + i + 2. Let p be m(-6). Suppose 12*v + 90 = 9*v. Let q be (-654)\/v - (-2)\/10. What is the greatest common divisor of q and p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 276 - -218. Calculate the remainder when s is divided by 45.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 21\/(4 + -7)*-1. Suppose -3*v + 1074 = 5*c, -22 = -5*v - r. Let x = c - 105. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**4\/4 - 13*n**3\/3 - 11*n**2\/2 + 15*n - 40. Let c be r(-12). Solve -10 = -5*j, 5*j = -4*i + c*j - 8 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3788519 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/262305 and -11\/81606.\nAnswer: 3672270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/16 of a century in months?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166072856?\nAnswer: 2, 20759107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (46*u**3 + 29*u**4 - 46*u**3)*(0 + 1 + 3)*(-4 + 0 - 1) to j*u + q + b*u**3 + d*u**4 + o*u**2 and give d.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-18)*s*s**(-18)*s\/(s*s**(-3)*s*s*s)*(s\/(s**(-8\/7)\/s)*s)\/s assuming s is positive.\nAnswer: s**(-223\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7080 and 2080?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.4 (b) -5 (c) 0 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 352411?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -875, 0.3, -5, 3\/4, 26?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m*m*m\/(m*m**36)*m)))*(m*m*m**(-2\/123))\/m*((m\/m**(-7))\/m*m)\/m**(2\/5))**(3\/5) assuming m is positive.\nAnswer: m**(26189\/1025)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 78 + -92. Let d be (-4)\/h - 144\/798. Which is the third biggest value? (a) 56 (b) -5\/3 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 990240 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182 = -3*j + 2*w, 28 = 4*w + 8. Let m be -2 - 988 - (-10)\/(-5). Let z be -3*(m\/(-12))\/(-4). Which is smaller: z or j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (46615*q**2 - 46467*q**2 - 1 + q**4 + 3)*(3*q - 2*q - 13*q).\nAnswer: -12*q**5 - 1776*q**3 - 24*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 52\/5 of a kilogram?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 i, and 1 a when three letters picked without replacement from {c: 1, j: 4, i: 1, m: 2, z: 7, a: 3}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 13. Suppose -2 - 10 = y*l. Which is smaller: l or -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 9*z + 21. Let g be m(-5). Let k = 1001 - 3005\/3. Sort -26, g, 5, k in decreasing order.\nAnswer: 5, g, k, -26","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g + 7 - 7)*(-498 - 552 + 426)*(1 + 2 - 5).\nAnswer: -3744*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 0*y**3 + 0 - 5*y**2 - 1\/90*y**5 + 1\/12*y**4 + 0*y. Factor r(x).\nAnswer: -2*x*(x - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*l**2 - 12*l - 5*l**2 - 2*l**2 - 6*l**2.\nAnswer: -5*l**2 - 12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -94 - -97. Suppose 0 = -x*r + 4*y + 841 + 2839, -2*y = -5*r + 6124. Suppose -i - 3*i + r = 3*v, -3*v = 5*i - 1530. What is the units digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2015 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 3*f = -17, 0*w - 2*f = 4*w - 14. Suppose w*y = 642962 + 894418. Suppose -5*g - 2281310 = y. Round g to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*t + 8*t - 2*t - 17*t + 6*t**2.\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/24*1*12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -29 (b) 0.01 (c) 0.3 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -i + 4*g, -4*i + 4*g + 0*g + 24 = 0. Suppose -i*m = -5*m + 4. Sort -3, m, 1.\nAnswer: -3, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2329*x = 4296*x + 290182 - 38432 for x.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*q**4 - 12 - 2*q**3 + 33 - 22 in the form p*q**4 + h + m*q**2 + y*q + b*q**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*z**3 + 24*z - 24*z)*(-2*z + 0*z + 3*z) - 177*z + 41*z**4 + 177*z.\nAnswer: 29*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 114088 take away 567?\nAnswer: 113521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 110 - 110.2. Let h = 0 - -0.1. Put -1, n, h in ascending order.\nAnswer: -1, n, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 10479 - 27414 = 0. Does 25 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 9:39 AM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -6*c**2 + 21*c + 0*c**2 + 8*c**2 + 6. Let y be p(-10). Sort y, -9, 0.3 in descending order.\nAnswer: 0.3, y, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2147 is divided by 33?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k**2 + 5*k**2 - 2*k**2 + 3*k**2 - 6*k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.0110846 millennia?\nAnswer: 133.0152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(1216) + -1 - sqrt(1216)) + 1 - (-1 + 0 + sqrt(1216)))**2 - (-5 + (sqrt(1216)*-2 + -3 - sqrt(1216))**2))*3.\nAnswer: -29190 - 480*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40686411 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 595932532 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0867277 * 49.\nAnswer: 4.2496573","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2099 - 27*m - 2099 + 3*m to the form h + p*m and give p.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 211323131302 + 2032?\nAnswer: 211323200000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**5\/13 + 1442*y**4\/13 + 57524*y**3\/13 + 331268*y**2\/13 - 57526*y\/13 - 332710\/13 = 0. What is y?\nAnswer: -679, -35, -7, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(1\/5))**(-18\/5)*x**(-17)*x**(-1\/10)\/x assuming x is positive.\nAnswer: x**(-941\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 209*s - 203*s + 1. What is the second smallest value in s, 1, -53?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9070 is divided by 89?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 3*p**2 - 2*p + 2. Let f(d) = 4*d**2 - 3*d + 3. Let j(u) = 2*f(u) - 3*v(u). Let h(n) = 103*n. Determine h(j(y)).\nAnswer: -103*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of -l**6\/160 - 93*l**5\/40 - 549*l**4\/32 - 7*l**2 + 233*l. What is f in a(f) = 0?\nAnswer: -183, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/35)\/(17\/51)*7\/21.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 83 times -388?\nAnswer: -32204","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24)\/(-5)*(-100)\/(-8). Suppose 5*c = 5*z + 70 + o, 0 = 4*z + 2*c + 74. Let n = 78 + z. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 3451817?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 343256856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i**2 + 6\/7*i**4 + 0*i + 3\/7*i**5 + 3\/7*i**3 + 0 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/492 and 83\/4.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 583 divide 734360792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 272182.8 months?\nAnswer: 22.6819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -4*k**3\/3 - 7*k**2 - 11*k. Let p be w(-4). What is the greatest common factor of 2 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 10, d: 2, k: 3, u: 5}. What is prob of picking 1 k and 2 n?\nAnswer: 9\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4984\/140 + 6*4\/60.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 171 a factor of 2722662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -18, 3, -10, -191, 23.\nAnswer: -191, -18, -10, 3, 4, 5, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l**2 - 3*l. Let o(w) = 2*w**2 + 8*w. Let u(z) = -17*h(z) - 6*o(z). What is the second derivative of u(m) wrt m?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, x: 4, y: 9}. What is prob of picking 2 y?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1\/3*w**2 - 62\/3 - 11*w = 0 for w.\nAnswer: -31, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 23 (b) 4\/5 (c) 1 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 10092, 20164, 30222, 40260, 50272, 60252, 70194, 80092?\n\"Answer: -g**3 - g**2 + 10082*g + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 15.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -145 + 149. Solve 0*p + 6 = -4*p + 3*z, -4*p - x = -4*z for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/10*(-10)\/(-2). Let i be 120\/(-18)*3\/t. Let y = 17 - i. Is 3 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 260, 5, 3 in decreasing order.\nAnswer: 260, 5, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-85272)\/57)\/17*(-20)\/2090\nAnswer: 16\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2332 - 2314. Sort 10, 0, y in decreasing order.\nAnswer: y, 10, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 196743?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) -568 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 50517101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k**3\/13 - 127736*k**2\/13 + 743960*k\/13 + 139488\/13 = 0. Calculate k.\nAnswer: -5812, -2\/11, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 9*t**2 - t. Let m(w) = -w**2 - 7*w + 7. Let a be m(-8). What is the units digit of x(a)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 4) to base 7\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-76360)\/1079)\/92*13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (6 - 0)*6\/9. Let t = -59 - -62. Suppose -t*n + 0*n + 6 = 0, 14 = 4*l + n. Calculate the greatest common factor of j and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 735 + -1351. Let m = 471 - x. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by -970.\nAnswer: 3\/970","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 - 3\/(-3)) + 2. Suppose 10*g = 9*g + i. Let y(x) = 2*x - 10. Let u be y(5). Solve u = g*a - 5 - 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54*k - 55*k - 43*k + 2.\nAnswer: -44*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 3, -2\/23, 10, 2\/9?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*n - 3994321 = -89*n - 24*n. What are the prime factors of n?\nAnswer: 30491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -4. Suppose -4*d + 147 = 5*t + 32, -3*d - 23 = -2*t. Suppose 5*i + 2*r - 6*r - t = 0, 0 = 5*i - 5*r - 15. Solve 1 = h, -i*k - 3*h = -2*k + c for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -72954 divided by 42\nAnswer: -1737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1422 - -6010?\nAnswer: 10432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-2)*1*(-24)\/(-168)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 - (3 + (-8 - -4)). Suppose -o*h + 4 = -4. Suppose -2*k = -h*k. Solve k*w + 5*w - 5 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of m**4\/4 + 11*m**3\/3 + 23*m**2\/2 - 25*m - 1429. Give x(-8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(1\/3))**(-37\/2))**27*(d\/(d*d**(-1\/3)))\/d**(3\/4)*d**(3\/4)\/d**(-2\/5) assuming d is positive.\nAnswer: d**(-4973\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1.996, -5, 5, 0.3, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 106*1\/4 + (-579)\/386. Let f(q) be the second derivative of 2\/15*q**3 + 0*q**2 + l*q + 0 + 0*q**4 - 1\/100*q**5. Determine a, given that f(a) = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 + 8*h**2 - h**2 + 7*h**2 - 12*h**2.\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/4792 and -69\/32.\nAnswer: 19168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(112) - (-2*sqrt(112))**2) + sqrt(112)*3 + 0)*-3.\nAnswer: -8064 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -11*g**3 - g**2 + 2*g - 1. Let k be t(1). Let q = k + 7. What is the units digit of (2\/q)\/((-1)\/10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - -3 - (-3 + 4)) + -5 - (73 - 81)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4400\/90 + ((-466)\/36 - -13)*2.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002865151 to 5 decimal places.\nAnswer: 0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -60857.21 to the nearest one thousand.\nAnswer: -61000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4067326 divided by 106?\nAnswer: -38371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-one quarters of a hour?\nAnswer: 63900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-65)\/10)\/(57\/30 + -2) is divided by 23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*u + 89 = 4*g, 16992 = 4*g - 3*u + 17013 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 31.1 and -5.\nAnswer: 26.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = p**3 - 71*p**2 - 718*p - 150. Let d be f(80). Solve d*o + 25*o = -175 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15938*h = 15813*h - 2750 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 18*n + 51 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 65?\nAnswer: 8580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 6*s - 4*s - 2, 2*m - 4*s = 36. Let k(d) be the third derivative of -d**6\/120 + d**5\/6 + d**4\/12 - 11*d**3\/6 + 2*d**2. Is 2 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1950, -3 in descending order.\nAnswer: 1950, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5\/4 + -13\/20. Is c greater than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 5, d: 3, s: 5, i: 4, x: 1}. Give prob of sequence ix.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14, -6, 16, 58, 126, 226, 364, 546?\n\"Answer: i**3 + i**2 - 2*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = 2*v + 5*w - 45, 177*w - 175*w - 26 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 0.5 (b) 0.084 (c) 69 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i**2 - 12*i + 5. Let t = -1404 - -1418. Calculate y(t).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 61000274 divided by 11351\nAnswer: 5374","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1019 + 1025. Solve o*i - 27 = 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*(l\/l**(2\/19))\/l)\/(l\/(l**(1\/3)*l))*(l*l**(1\/4)*l*l)**32)**27 assuming l is positive.\nAnswer: l**(54495\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 4469*l + 13403. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Total of -12 and -1044934101971.\nAnswer: -1044934101983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*f = 2*i + 16, 5*i = f - 40. Let n be (-30)\/i*(-3 - (-34)\/6). Let s be (-725)\/n*-80*(-6 - -1). Round s to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of b**4\/6 + 11*b**3\/6 + b**2\/2 - 14*b. Is m(-8) a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8718\/5 - 1723109\/990. Let m = h - 48\/11. Find the common denominator of m and 41\/302.\nAnswer: 2718","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -15 and 0.0569?\nAnswer: -0.8535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5846 is divided by 1126.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -35. Let c be (-2 - 3)\/(-1) + r. Solve -1 - c = -2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b = -c - 25, 0 = -5*b - 4*c - 1 - 33. Let u be (-18)\/(-117) - 374\/65. Is b < u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34657962 + 49986875. Let v = -8628913 + s. What is v rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2465 by -5.\nAnswer: 493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10189092 and 276.\nAnswer: 10189092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1266?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4165*u - 357. Let r(b) = 5785184*b - 495992. Calculate 4168*g(m) - 3*r(m).\nAnswer: 4168*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1332 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*s**4 + 29*s**4 + 3*s**4 + (3*s + 3 - 4 - 5*s)*(2 - 11*s**3 - 2) to k*s**3 + a*s + y + q*s**2 + j*s**4 and give k.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1939141, 1939140, 1939139, 1939138, 1939137?\nAnswer: 1939136","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38061 = 5*y + 18*c, 171*y - 169*y - c - 15208 = 0. Does 39 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 9) to base 11\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002874609305 rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -386 - -390. Let z(p) = 330*p + 34. What is the hundreds digit of z(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11c6 (base 15) in base 16?\nAnswer: -eca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*d**4 - 2*d**3 + 13*d**2 + 7*d - 102961?\nAnswer: 16*d**3 - 6*d**2 + 26*d + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4 + -443114805?\nAnswer: -443114809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 68, 137, 202, 263, 320?\nAnswer: 373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/9)\/(2\/6). Suppose x*h = -7 + 22. Suppose 19 = h*l - 26. Solve -3*a + 8*a = -l for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fc when two letters picked without replacement from {h: 1, w: 1, c: 1, t: 1, f: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p. Let g(b) = -115*b. Determine k(g(j)).\nAnswer: 230*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -3\/80, 4\/5, 2\/5, 2413 in decreasing order.\nAnswer: 2413, 4\/5, 2\/5, 0.3, -3\/80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -81, -170, -273, -396, -545, -726, -945, -1208?\nAnswer: -1521","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -3*s - 152. Let u = 55 - s. What are the prime factors of u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -10089*s - 20215. Determine g(-2).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 54 - (-61 - (-2 + -114))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(3) + (sqrt(12) - sqrt(48)\/sqrt(4))\/sqrt(4))**2 + sqrt(9)\/(sqrt(21)\/(sqrt(28)\/sqrt(4))).\nAnswer: 4 + 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 266\/8 - (-1)\/(-4). Suppose 5*z - 77 = a. Suppose 4*l - 16 = -3*p, -5*l = 5*p - 20 - 10. What is the lowest common multiple of z and p?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 - 17584*h + 4270416.\nAnswer: 4*(h - 4138)*(h - 258)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3089 is divided by 1023.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5814365 = -185*b + 645650. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**3 - 14*f**2 + 12*f + 12. Let d be k(6). Let a(y) = 115 - 115 - d*y + 2*y. Let r(j) = 16*j**2. What is a(r(l))?\nAnswer: -160*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -10210110022021 (base 3) in base 12?\nAnswer: -813051","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 5*k**2 + 3. Let g(t) = -t**2 - 1. Let v(u) = -3*g(u) - p(u). Let d(w) be the second derivative of -25*w**4\/3 - w - 5551. What is d(v(b))?\nAnswer: -400*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s*s\/s**(1\/39)))**(-36) assuming s is positive.\nAnswer: s**(-12\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 85? (a) -5 (b) -2 (c) -0.5 (d) 133\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-156)\/130)\/(18\/(-20))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 101122?\nAnswer: 101132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -3*z**2 - 3*z + 3. Suppose -17 = -4*b - 5. Suppose b*m = 4*m + 13. Let x be 4\/(-6) - m\/(-3). Let n(y) = -6*y**2 - 5*y + 5. Calculate x*r(q) + 3*n(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -40602169683.00002502 + 40602170185. Let r = y - 502. Round r to six decimal places.\nAnswer: -0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1818*l**3 + 5*l**2 - 3*l. Let m be w(4). Suppose 22*y - 21014 - m = 0. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 414*y**2 + 415*y**2 + 710*y**3 - 1245*y**2 + 416*y**2.\nAnswer: 710*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -135797126 at least as big as -135797126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/(-4))\/((-6)\/(-48)). Suppose 0 = j - y*j - 9. Let m be j + ((-13)\/(-4) - 1). Which is the second biggest value? (a) m (b) 15 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 13*j + 936. Let g be b(-62). Solve -131*r + g*r - 4 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -142 + 142. Suppose a = 5*z + 66 - 171. What is the greatest common factor of 14 and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*h + 5*l - 11230, -5*h + 1525 = -5*l - 9695. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -25548, -25532, -25516?\n\"Answer: 16*s - 25564","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 26. Let j = z + -2. Let x = 18 - j. Sort 4, 0, x in decreasing order.\nAnswer: 4, x, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 42, -2, 5, -5, -3 in descending order.\nAnswer: 42, 5, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are -7747 and -85219\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 118186974?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 5*d - 10 = 0, 2*s - 2*d = -s - 4. Suppose 3*l + 2*l = k, s = -l - 3*k. Solve -2*v + 2*j + 2*j = -14, 3*v - 2*j - 5 = l for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8707 is divided by 2895.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4\/3, -5, -993, -3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 362, 481, 814, 1469, 2554, 4177, 6446, 9469?\n\"Answer: 18*c**3 - c**2 - 4*c + 349","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -89545, -88848, -88151, -87454?\n\"Answer: 697*c - 90242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2964 and 5889.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millennium in years?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*k**2 - 19*k**4 - 3 + 8*k + 2*k**3 + 0 + 20*k**4 - 7*k to the form t*k + m + n*k**2 + b*k**4 + f*k**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*q + 63 - 459, q = -5*i + 964. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41420 a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**4\/6 + 4*m**3 - m**2\/2 + 31*m. Let k be y(-12). Let s be 10\/25 - 46\/(-10). Put k, 36, s in decreasing order.\nAnswer: 36, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*(-2)\/8*1068\/623. Which is the nearest to -68? (a) -4 (b) 5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -10*a - 1. Let b be r(-1). Let w(g) = -2*g**2 + 13 - 2 + 11 + 10*g - 13. Let c be w(b). Round c to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3266 + -3264. Put 1\/4, j, 0.1, -0.8 in decreasing order.\nAnswer: j, 1\/4, 0.1, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-267)\/2)\/89*4\/(-6)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39042 by -2.\nAnswer: -19521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1.7, -2, -4, 0.15 in decreasing order.\nAnswer: 0.15, -0.2, -1.7, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 157 - 108. Solve -6 = -11*b + p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (715\/(-39))\/((-2)\/6). Let f be (y\/15)\/(2\/12). Suppose -74 = -4*q + f. Calculate the highest common divisor of 12 and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3301 (base 4) in base 10?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from swssswsswwswssswwww. Give prob of sequence wsw.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-20)*r)\/((r**(7\/4)\/r)\/r*r)*(r\/(r\/(r**(-15)\/r*r)))\/(r*r*r*r**(-2)*r))**11 assuming r is positive.\nAnswer: r**(-1617\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x - 7. Let g(v) = -2*v**2 + 16*v + 37. Let z be g(-2). Calculate t(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9335238*w**6 - 258947*w**2 - 2*w + 9.\nAnswer: 1120228560*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6649105 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2667.\nAnswer: 3, 7, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 16\/5? (a) -7 (b) 16 (c) -1073.3 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 88) + 97 + -50 + -37?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = z**3 + z**2 - 2*z. Let d(l) = -2*l**4 + 30*l**3 + 12*l**2 - 40*l. Let p(y) = -44*a(y) + 2*d(y). What is c in p(c) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/((-7 - -12)*1\/5)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 1 + 3 = 0. Let m = -4 + 7. Suppose k = m - v. Solve -k*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(-1\/4)*d\/d**4)\/(((((d\/d**(2\/5))\/d)\/d*d)\/d*d*d)\/d)**(2\/45))**(-1\/43) assuming d is positive.\nAnswer: d**(2909\/38700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l**4 - 870*l**3 + 155340*l**2 + 313270*l + 157065 = 0.\nAnswer: -283, -1, 111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10469*a = 155233 - 19136 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -127872, -127871, -127870, -127869?\n\"Answer: d - 127873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 - -6. Find the third derivative of 2*r + 2*r**2 - 2*r - 6*r**2 + 5*r**p wrt r.\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u\/(u\/u**(2\/5))*u)\/u*u)\/(u\/u**(-7)))\/((u**4*u*u)\/(u\/(u*u**(-1\/10)))) assuming u is positive.\nAnswer: u**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4119577 + 8169577. What is r rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 5, u: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1215*-0.14.\nAnswer: -170.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -12*15\/(-10). What is the closest to -2\/5 in r, 0.5, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -h**5\/4 + 107*h**4\/4 - 95*h**3\/2 - 1083*h**2\/2 + 6975*h\/4 - 4725\/4 = 0.\nAnswer: -5, 1, 3, 105","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 21641 or 21646?\nAnswer: 21646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/7, 6\/13, -5, 0.3, 18\/13, 0.25, -164?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 844596.8 grams in nanograms?\nAnswer: 844596800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -110*h - 8. Let y(f) = 111*f + 7. Let x(j) = -4*c(j) - 5*y(j). Let b be x(-12). Let r(l) = -l + b - 1377. What is r(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -10. Let k = q - -17. Let i(r) = -r + 15. Calculate the remainder when 23 is divided by i(k).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from esopa. Give prob of picking 1 o and 1 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -47.8 + 46.8. Let m = 2295\/1316 + 2\/329. Put m, h, 0.2 in decreasing order.\nAnswer: m, 0.2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/x**(-3))**(-37)\/((x\/(x**(-14)*x)*x)\/((x**23\/x)\/x)))**(-45) assuming x is positive.\nAnswer: x**6390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = 2*h - 178. Let v be (-3 - -2) + -6 + h. Solve 4*u - v*r = 0, 5*u + 4*r + 50 = 5 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 7.3. Let m = -0.4 + g. Let k = 0.3 - 0.4. Which is the closest to m? (a) 3\/4 (b) 1 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 - 23. Let m(i) = i**3 + 13*i**2 + 14*i + 6. Is m(j) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 575 - 938. Let v = j + 675. Does 48 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14308 + 30360 - 14693)*(3*k**2 + 0*k**2 - 5*k**2)*(-6*k**3 + k**3 + k**3).\nAnswer: 10872*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*s - 36 + 6 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -7*z**3 + 3*z**2 - 3*z - 3. Let v(q) = 496*q - 12*q**2 - 426*q - 58*q**2 + 8*q**3 + 0*q**2 + 70 + 152*q**3. Determine -70*d(j) - 3*v(j).\nAnswer: 10*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -25, -39, -53, -67, -81?\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 - d**2 - d. Suppose -4*r + 25 = 5. Suppose 100*j + 4*s = 98*j - 42, -s = 8. Let i(u) = -u**3 - u**2 - u. Give j*p(x) + r*i(x).\nAnswer: 5*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83014.08ug to milligrams.\nAnswer: 83.01408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12186 is divided by 676?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 186 and 21.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -2*q**3 + 70*q**2 - 13. Determine a(35).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2332, -4647, -6974, -9325, -11712, -14147, -16642, -19209?\n\"Answer: -2*n**3 + 6*n**2 - 2319*n - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*m = 14*m. Suppose u = 4*h + 14, -5*u + h - 4*h + 1 = m. Solve 5*l - u*l = 12 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 611 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t + 15 - 13 - 9 - 16*t**3 - 18*t**3.\nAnswer: -34*t**3 + 2*t - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*(3 + (sqrt(1539) - -2*1*sqrt(1539))))**2 + 4*(sqrt(1539) - (sqrt(1539) + 1*sqrt(1539))) + (sqrt(1539)*-2*-4)**2)*6.\nAnswer: 15336*sqrt(19) + 1921536","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jy when two letters picked without replacement from sosysjossjssooss?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9302.468 years to centuries.\nAnswer: 93.02468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1f (base 16) in base 7?\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6052399077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, a: 8, c: 6}. Give prob of picking 1 a and 2 i.\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16a96a (base 13) in base 15?\nAnswer: b2b93","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17214285?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(11) + (sqrt(88)\/sqrt(8))**2)*6 - (-4*1*sqrt(539) + sqrt(539) + sqrt(539))**2.\nAnswer: -2222 - 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-3.5438.\nAnswer: -14.1752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 216620*n**3 + 30226*n**2 + 2*n wrt n?\nAnswer: 1299720","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -16, -14, -10, -4, 4, 14?\n\"Answer: m**2 - m - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 159 is divided by 27?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -291 + 2335\/8. What is the common denominator of 247*6\/30 + (-4)\/10 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3 = 2*n + 4, -2*n + q = -11. Let x(t) = 11*t + 4. What is the remainder when x(n) is divided by 25?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 24480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2651? (a) 2.4 (b) -2 (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 409031, 818061, 1227091, 1636121?\n\"Answer: 409030*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29993 divided by 3.\nAnswer: -29993\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -19*u - 2261. Let r be b(-124). Solve x - r + 101 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x - 6 = -9*x. Let o(y) = -7*y - 9*y**2 + 10*y**2 + 0*y**x + 6. Calculate o(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2260*w**2*x - 1556*w*x + 2*x wrt w?\nAnswer: -4520*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 837 a factor of 6451596?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvdvddcvvvcdc. What is prob of sequence vd?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does -647196 = -647198?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.22 - 194.78. Let x = v - -187. Which is the fourth biggest value? (a) 1\/7 (b) 2 (c) x (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -4*s**2 + 186*s + 586. Determine q(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 650995 + -650999. Let u = 6 - 2. Sort 0, f, 0.2, u.\nAnswer: f, 0, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -91*o + 43. Let d be i(-2). Solve -14*t = 11*t + d for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/25 of a week?\nAnswer: 72576","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 3*j - 9004 = 5*j, 3*j - 3613 = -2*z. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 a when two letters picked without replacement from {a: 4, w: 3}?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*t - 15, -2*t - a = 2*a - 17. Let h(g) be the third derivative of g**5\/5 - g**4\/24 + g**3\/6 + g**2. What are the prime factors of h(t)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -99410?\nAnswer: -12923.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 2:31 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-212580)\/(-82670)*-1*1*7?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-108)\/(-180))\/(54\/20).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 247*m - 11*m + 103*m + (0 - 2 + 0)*(-m - 2*m + 4*m).\nAnswer: 337*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82445.81 centuries to decades.\nAnswer: 824458.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 24*h**2 + 176*h + 4833. Determine s(-22).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 201 + -201.437. Let t = d + 0.037. Suppose 2*c = -c - 5*o + 6, 2*c - 4 = -o. Sort -1, 3, c, t in increasing order.\nAnswer: -1, t, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 1559 = -214. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 53745, 215853, 486321, 865149, 1352337?\n\"Answer: 54180*v**2 - 432*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -57.74 + 58.45. What is the second smallest value in -0.25, 1, -1\/7, m?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 12 = 12*a. Let r = a - -23. Calculate the greatest common factor of r and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sll when three letters picked without replacement from {s: 2, l: 8}?\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -76\/20799327 and 29\/3.\nAnswer: 20799327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 13920 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11)*3 + -3 + 2)*-2 - ((1*sqrt(704) + -4)**2 - (1 + ((sqrt(704) - (sqrt(704) - (1 + sqrt(704))))**2 - sqrt(704)))).\nAnswer: -12 + 66*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 14659175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (1 - 7) - (6 + 4 + -7)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 750, 741, 742, 759, 798, 865?\nAnswer: 966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u**3 - 493 + 493.\nAnswer: 2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 626792 a multiple of 188?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11873088 (base 9) in base 4?\nAnswer: -112100203310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 67.673 rounded to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - i**3 - 1 + 0*i**3.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 - -42b?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*v = -2*v - 8, 0 = -v - 3. Suppose -o - h*i + 21 = -23, -2*o + 85 = 5*i. Calculate the greatest common divisor of o and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 393, 0.5, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 1070840*b - 57334915280.\nAnswer: -5*(b + 107084)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*s - 366 + 330 = 0. Solve s*z = 28*w - 33*w + 22, -4*w = z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 42\/63*3\/1. Solve -2*y = 7*r - 5*r - 8, v*y = 2 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = t. Let o = 119 + -124. Let j(f) = -f + 1. What is o*m(l) - j(l)?\nAnswer: -4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15867, 10164, 4461, -1242?\nAnswer: -6945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3\/2 (b) 0.1 (c) 0.4 (d) -187\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -4*l - 3. Let n(o) be the second derivative of 1\/6*o**3 + 0*o**2 + 3 + 6*o. Give -2*n(g) - r(g).\nAnswer: 2*g + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 4.713222 years?\nAnswer: 0.04713222","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 185478383445679\/31438250601810 - -2\/61643628631. Let b = 2\/8619 + a. Let v = -65359\/5 - -9673347\/740. Calculate the common denominator of b and v.\nAnswer: 740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39 in -3, 560, 3, 2, 11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of 67\/2*l**4 + 151*l + 0*l**3 - 57 + 0*l**2. Find the first derivative of q(t) wrt t.\nAnswer: 402*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -349*h - 5863473 + 5863473. Let m(l) = -12*l. Calculate x(m(k)).\nAnswer: 4188*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70658 and 67228?\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5.2 + 25.5.\nAnswer: 30.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 29378?\nAnswer: 29380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 10, k: 2}. Give prob of picking 1 l and 2 k.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 430 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 w when four letters picked without replacement from {y: 5, w: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 444\/(-10) - (-6)\/(-10). Let r = l - -118. Suppose 0 = 5*a - 457 - r. List the prime factors of a.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2302212 divided by -11.\nAnswer: -209292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -25 (c) -2\/7 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28802?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*i - 4*i**2 + i**2 + 11*i**2 as v*i**2 + q*i + t and give v.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 16750, 5, -3.5, -1 in decreasing order.\nAnswer: 16750, 7, 5, -1, -3.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-60)\/(-50)*2\/12. Let r be (-110)\/(-1265) - (-160)\/(-782). Let g = -443\/7 - -63. Which is the third biggest value? (a) 1\/2 (b) s (c) g (d) r\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 10) to base 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2854 and 12?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 28136, 28141, 28146, 28151, 28156?\n\"Answer: 5*f + 28131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2400 - -2401. What is the lowest common multiple of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c**(2\/3))**(-16) assuming c is positive.\nAnswer: c**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6064 - 6064. Let j(l) be the first derivative of q*l + 5*l**2 - 25\/3*l**3 + 40. Find the second derivative of j(t) wrt t.\nAnswer: -50","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**3 - 28*q**2 + 19*q - 13. Let v be b(-15). Let r be (2*4)\/(20 - 19). Calculate the greatest common divisor of v and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 0 and -1\/537141 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -109782 divided by 2?\nAnswer: -54891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 20 = -2*d. Let g be (-11)\/(-6) + 2185\/690. What is the highest common divisor of g and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -559064 divided by -69883?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1111, -4777, -10903, -19495, -30559, -44101?\n\"Answer: -p**3 - 1224*p**2 + 13*p + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, -5, 29, 0.1, -834 in ascending order.\nAnswer: -834, -5, -2\/7, 0.1, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37004094.\nAnswer: 2, 3, 131, 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 176b7 (base 14) to base 5.\nAnswer: 3341321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/5, 4, -0.066, 0, -3\/2 in decreasing order.\nAnswer: 4, 0, -0.066, -3\/5, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5075401 divided by 3?\nAnswer: -5075401\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 10, d: 4, z: 3, q: 2}. Give prob of picking 1 y and 1 z.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34839780 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 12:54 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0574 and -12634?\nAnswer: 725.1916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -19 (b) -1510 (c) 4 (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 27387*7.4.\nAnswer: 202663.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (33\/(-5) - -6)\/(6\/(-60))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*(30\/5 - 21). Solve 6*f - 3*f = p for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6181 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 0 (b) 0.4 (c) -4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 11 - y - 13 + y - y**2. What is z(2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*l + 4587 = -2889. Solve -176*i - y = -l*i + 5, -4*i = 3*y - 35 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 20016*f**3*m + 336*f**3 + 4*f wrt m.\nAnswer: 20016*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4388641 to the power of 1\/3, to the nearest integer?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g**2 + 3*g**2 + 0*g**2)*(-4*g**3 + 5*g**2 - 5*g**2) - 3126*g**4 + 4*g**5 - 5 + 3126*g**4.\nAnswer: 12*g**5 - 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**2 - 23*g + 1. Let z be q(-22). Suppose -246 = -z*d + 214. Suppose -2*m + 231 = m. What is the remainder when m is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 821 + -120. Suppose 4*c + 3*t = -c + 1145, r = 3*c - t. Does 44 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28203 + -3259. What are the prime factors of u?\nAnswer: 2, 1559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13213 is divided by 693.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27344478 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/(105\/(-6)))\/(0 - (-6)\/(-42)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 1 (b) -3\/5 (c) 3\/16 (d) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 12:04 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 62 + 62)*((1 - g - 1)*(2*g**4 - 2 + 2) + 2*g + g**5 - 2*g + 2*g + 0*g**5 + 2 - g - g**5).\nAnswer: -172*g**5 + 86*g + 172","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1714 and -1.\nAnswer: 0.1714","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 28\/(-4 + 82\/20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -330?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 94\/28 - 1314\/(-9198).\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:21 PM and 5:07 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b - 1 = -h + b, 0 = 3*h + 4*b - 17. Let u(i) = 0 + i**h - 5*i + 2*i + 4 - 3*i**2. Let p = 8 - 5. Calculate u(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -s + z, 0 = 4*s + 2*z - 12. Suppose 0 = -t - 2 + 5, s*r - 5 = 5*t. Suppose -u = -r + 4. Calculate the remainder when 22 is divided by u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -3*r - 15, 3*r = -m - 4*m + 33. Suppose -11*g + m*g + 3145 = -5*x, 0 = x. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16998 + -16997.5. Let b be 33\/(-12) - (-4 - -1). Sort s, b, 7\/8.\nAnswer: b, s, 7\/8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1100 - 11356 = -12*u. Let r = u + -433. List the prime factors of r.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 6*a = 0. Suppose a = 5*c - 62 + 12. What are the prime factors of (6\/(-2))\/((-3)\/c)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102321 (base 4) to base 15\nAnswer: 559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 14402043200 + 4?\nAnswer: 14402043204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -26*k**2 - 12*k - 7. Let h be q(10). Let g = h + 4296. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) -4\/3 (c) -1 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 301.053 + -301. Let g = -0.553 + j. Sort g, 6, 0 in increasing order.\nAnswer: g, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 = 4*m - 18. Is m a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n**2 - 8. Let i(v) = 7*v**2 - 8. Let o(h) = 7*i(h) - 6*x(h). What is the first derivative of o(m) wrt m?\nAnswer: 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36557?\nAnswer: 139, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + 0*v - 2*v)*(2 - 2 + 2*v**2)*(6*v - 2*v - 2*v).\nAnswer: -12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ennneneenneen. Give prob of picking 4 n.\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18393 = -265*o + 14153 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 166*h - 1438 + 1019 - 1905 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -145, 0, -2, 14200 in ascending order.\nAnswer: -145, -2, 0, 14200","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 0 - 1 + 0 + 14*j**2 - 13*j**2. Let c(k) = -2*k**3 + 5*k**3 - k**3 + 12*k**2 - 10. Calculate c(z) - 12*l(z).\nAnswer: 2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 times 0.2537?\nAnswer: 16.7442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43598.\nAnswer: 2, 21799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 591 is divided by 148.\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 149387604 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -17*o - 70. Suppose 0*a - 2 = -a. Suppose 0*p + 2*p - 18 = 2*d, -4*p + 28 = -a*d. Put o, d, 5 in increasing order.\nAnswer: o, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 27*c**2 + 25*c - 15. Let h be p(-26). Let f(y) = 3*y**2 + 13*y + 15. Let v(m) = 2*m**2 + 7*m + 8. Determine h*v(z) - 6*f(z).\nAnswer: 4*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6376585*c**2 + 641413 wrt c.\nAnswer: -12753170*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 1. Let t be r(-4). Let v(n) = 5*n**3 + n**2 + n + 3. Let g(j) = -9*j**3 - 2*j**2 - j - 5. Determine t*g(p) + 5*v(p).\nAnswer: -2*p**3 - p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 0*i + 2*i)*(-1 + 1 + 10*i)*(3*i + 2*i - 2*i).\nAnswer: 60*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4 = -6*c, 0 = 4*i + 3*c - 29. Let d = -4 - -3. Let h be 1 + d - 0 - -4. Solve 0*w = -h*w - i for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in 7, -0.2, 5\/8, -4\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2779 is divided by 62.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-52)\/90 - (-12)\/15. Suppose -97 - 38 = -3*l. Let a = -137\/3 + l. Put 0.5, a, z in descending order.\nAnswer: 0.5, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9252162.\nAnswer: 2, 3, 514009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1682463107?\nAnswer: 13, 43, 127, 1823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -10*c. Let j(r) = 44990798*r. What is j(p(b))?\nAnswer: -449907980*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 0 (c) 0.4 (d) 4\/557 (e) 50\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1908 and 2440968.\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1504 times 2?\nAnswer: -0.3008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*g + g - 5*g + 2*g + (1 - 6 + 4)*(1 - g - 1) + 1 - 1 - 2*g + 2*g + 0 + 0 + (-1 - g + 1)*(2 + 5 - 4).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 119 (base 14) to base 2.\nAnswer: 11011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 7:20 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m**3 + 3*m**2 + 691*m - 2075. Let f be u(3). Let c(v) = v**3 + 57*v**2 + 53*v - 166. What is c(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 4 (b) 0 (c) 0.19 (d) -0.124\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32004 and 3.\nAnswer: 32004","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 1. Suppose -t - v*q + 24 + 1 = 0, 0 = 2*t - 4*q - 90. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-2))\/((-345)\/(-92))*(-40)\/16. Is v < 718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 3 l when four letters picked without replacement from llltlltlhlltlll?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(3\/7)\/(w*w**(-2\/9))*((w*w**1)\/w*w)**(2\/37)*((w*w**(-4))\/w*w**(-2\/25))\/(((w\/(w*w**0))\/w)\/w)**7 assuming w is positive.\nAnswer: w**(564038\/58275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2 (b) -1\/11 (c) -0.2 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that k**2\/6 - 32*k\/3 + 21\/2 = 0.\nAnswer: 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/4 - 10\/20. Suppose -5*d = -d - 384. Let x be ((-1)\/(-3))\/(2\/d). Is x greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a centimeter in micrometers?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2500 + -2485. What is the remainder when 326 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 235 = -5. Suppose -2*l = -2*b + 2*l + n, 2*l - 76 = -4*b. Solve 9 = 2*z + d, 2*d + 2*d - b = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 552472 is divided by 385?\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 PM and 6:53 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/266439 and -91\/18.\nAnswer: 1598634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, 1\/5376, 3\/10?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53 + -36. Let g(b) = -b**3 + 10*b**2 - 11*b + 308. Calculate the remainder when g(11) is divided by f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -510375, -510374, -510373, -510372?\n\"Answer: i - 510376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c**3 + 54*c**2 - 110*c + 58. Let y(d) = 2*d**3 + 55*d**2 - 110*d + 59. Let n(w) = -6*u(w) + 4*y(w). Let n(r) = 0. Calculate r.\nAnswer: -28, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -46*n**3 + 6024*n**2 + 93642*n + 4060 = 0. What is n?\nAnswer: -14, -1\/23, 145","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d + 3. Give j(28).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*y - 48 = -4*m, -4*m + 2*y = -192. Let h be m\/30*5*9\/(-6). Let x be 8\/(-52) + h\/(-78). Solve 5*c - 3 = -b + 13, x = 4*c + 2*b - 8 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-9)\/(((-3)\/3)\/(-1)). Let f = 31 + k. What is the remainder when f is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7\/2798? (a) -0.3 (b) -2\/5 (c) -16 (d) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -184.404 - -184. Round o to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 128.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -4516 - 3?\nAnswer: -4521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 - 6*a**2 + 6*a - 6. Let l be s(-7). Let n = 16 + -11. Solve 5*f - o = f + l, 4*f = n*o - 11 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 56086465, 5 in descending order.\nAnswer: 56086465, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -7*r**3 + 5*r**2 + 6*r - 6. Suppose -5*p + 184 = 69. Let d(h) = -10*h**3 + 2*h**3 - 5 + 6*h**2 - 11 + p + 7*h - 14. What is 6*d(b) - 7*l(b)?\nAnswer: b**3 + b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.4 + 0.4. Let o = 4 - d. Which is the third biggest value? (a) o (b) -2 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2349*f + 994*f + 876*f + 1149*f + 1043*f**2 wrt f.\nAnswer: 2086","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5))**(-10\/13) assuming k is positive.\nAnswer: k**(50\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105 divided by -35.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 481 a factor of 23525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 173*b - 499850 + 499504 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -8470 to the nearest 1000.\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r - 3*g + 14, -r + 7 + 5 = -g. Suppose 13*z = 29 + r. Solve -z*h = -2*q - 12, 4*h = 6*h - 4 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/(-18) + 356\/18. Suppose 4*s = -l + 12, -3*s + l = -s. Suppose -s*w + 540 = 100. What is the highest common divisor of i and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15.504 + -15.604. Let h(x) = -x - 1. Let q be h(-5). What is the nearest to u in 24, q, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 6502*q - 45507. Give z(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.08, -0.46, -1, -3 in decreasing order.\nAnswer: -0.08, -0.46, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(8 + 6)*(-6 + 5). Sort 4, -2, -7, -4, t.\nAnswer: -7, -4, -2, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x + 7*x - 10120 = -8*x. What is the lowest common multiple of 200 and x?\nAnswer: 4600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*f**3 - 2*f**3 - 2*f**3)*((-5 + 4 + 0)*(-4*f + 1 - 1) - 1 - f + 2 - 4).\nAnswer: -6*f**4 + 6*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 4*p**2 + 39*p - 3. Let r(c) = c**3 + 5*c**2 - 39*c + 4. Give 5*j(s) + 4*r(s).\nAnswer: -s**3 + 39*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ex when two letters picked without replacement from xttmtstecscmt.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-15 - -52) + -135 - -20 - (-8 + 1)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4001.\nAnswer: 4001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**20*k*k\/((k*k**(-31)\/k)\/k*k))\/(k*k**(-15)*k*k\/k**(-29)) assuming k is positive.\nAnswer: k**36","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5457 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-10))**(-17)\/(z**(-6\/11))**(5\/14) assuming z is positive.\nAnswer: z**(13105\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**2 - 3*h. Let p be o(4). Let g = -14 + p. Suppose -4*c - 4*a = -3*a - g, -2*a - 4 = 0. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 145707 is divided by 105.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3037 + -1559. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.82 + 1.8. Let k = p + -0.28. What is the closest to 3 in k, 2, 2\/17?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-4*a**2 + 4*a**2 + a**3) + 2*a**3 - 2*a**2 + 2*a**2 + 5*a**3 - 2*a**3 - a**3 + a**3 + a**3 + 0*a**3 - a**2 + 2*a**3 + 0*a**2 - 4*a**3.\nAnswer: 6*a**3 - a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 153923800 rounded to the nearest 1000000?\nAnswer: 154000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2154 + -5246?\nAnswer: -3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/5? (a) -5 (b) -0.6 (c) -1 (d) 3 (e) -45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -23*a**3 + 33*a**2 + 175619 - 351226 - 33*a**2 + 175608.\nAnswer: -23*a**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -32 - (6 + (2 - (11 + 0)))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0021453 rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - p**2 - 2*p + 11. Let r = -2289 - -2289. Calculate i(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4455 and 7695.\nAnswer: 84645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8589, -8592, -8595, -8598, -8601?\nAnswer: -8604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -46*t**2 + 2*t. Let c(w) = w**2 - w. Let q(a) = -b(a) - 3*c(a). Does 22 divide q(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2\/37, -1.24, -0.4, -0.2?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1139*n**3 - 3*n - 2*n**2 + 1148*n**3 + 4*n - 2230*n**3 in the form g*n**2 + s*n + x + d*n**3 and give d.\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (10856\/1239)\/((-8)\/(-6))*2?\nAnswer: 92\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-350)\/(-28) - 12)*(19 - -3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 10)*(20*p - 35*p - 52*p)*(-1 - 2 + 1).\nAnswer: -1340*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 50533 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -28*m**5 + 2*m**4 + 2*m**3 + 2*m - 2. Let h(w) = w**4 + w**3 - w**2 + w - 1. Let b(d) = -2*h(d) + l(d). What is the third derivative of b(a) wrt a?\nAnswer: -1680*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 0)*(-3*i**4 + i**4 + 3*i**4) + 3*i - 3*i + 9*i**4.\nAnswer: 10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 5*p + 19 = 4*p, -5*u + 15 = -5*p for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 107\/42 and 173\/60.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of 49*d**6\/30 + 51*d**4\/4 + 151*d - 180. Let l(v) be the first derivative of n(v). What is the third derivative of l(u) wrt u?\nAnswer: 1176*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 972*n + 2343*n - 995*n to a*n + j and give a.\nAnswer: 2320","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (22 - 1)*44296\/686 and 2486.\nAnswer: 14916","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 395204?\nAnswer: 2, 98801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -x**2*z**4 + 28098*x**2*z + x**2 - 258254*x*z**5 - x*z + 2*x wrt z.\nAnswer: -12*x**2*z**2 - 5165080*x*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4125*z + 3*k - 55 = 4120*z, z - 2*k = -2 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1.37 * -18\nAnswer: -24.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -518 + 521. Solve -4*f + 2*r = -x*r - 33, 2*f + 16 = -4*r for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(170) + sqrt(170) + sqrt(170)*3 + sqrt(170) + sqrt(170))*2*5)\/((sqrt(1500)*-2)\/(-6*(sqrt(6) - sqrt(6)*2))).\nAnswer: -126*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11133*n**3*z**5 - 6*n**3*z**3 + 1296*n**3 + 35*n**2*z + n wrt z?\nAnswer: -222660*n**3*z**3 - 36*n**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(68) - (1*sqrt(68) - sqrt(68)))*-3 - sqrt(68)) + -3*sqrt(68)*-1)\/((4*sqrt(24)*2 - sqrt(24))\/sqrt(6)))**2.\nAnswer: 17\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*i + 973 = 935 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -977*r**4\/4 + 2*r**3\/3 + 3*r**2 - 28*r - 6111. What is the third derivative of k(b) wrt b?\nAnswer: -5862","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22822255 is divided by 64288.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 291 minutes before 5:22 PM?\nAnswer: 12:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, 0, 79, -4.\nAnswer: -4, 0, 1, 2, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.16739 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 26 - -234. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 4*i + 45. Suppose 0 = -w + 4*w - i. Find the common denominator of 121\/6 and (-21)\/20 + w\/(-3).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -5*b + 8, 40 - 8 = 2*h + 5*b. Suppose 4*s - h = 18. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 232*w**3 - 258.\nAnswer: 696*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 377 is divided by 195?\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -8) + 1 + -1 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -101 + 303122?\nAnswer: 303021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18 + 30. What is the remainder when m is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a century in years?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 281350 is divided by 11254?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 130 + -110. Solve 4*r = 4*t + 16, 2*t + 5*r - w = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86348591 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -20, -72, -166, -314, -528?\nAnswer: -820","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 15, s: 3}. Give prob of sequence dv.\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/(s*s**(4\/13))*s*s*(s**(10\/11)\/s)\/s*s*(s**(2\/75)\/s)**(-19) assuming s is positive.\nAnswer: s**(215516\/10725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 9 = -7*d. Find the second derivative of -29*t**3 + 3*t**3 - 135*t - 6*t**d - 7*t**3 wrt t.\nAnswer: -234*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f - 2 + 2)*(-4906*f + 69*f**3 + 4906*f).\nAnswer: 69*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -649 to the nearest 10.\nAnswer: -650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 3*k**3 - 18*k**2 + 6*k + 3. Determine x(6).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 3*j + 169 = 0, -y + 5*j + 7 - 54 = 0. Suppose -59 - 31 = 3*t. Which is smaller: y or t?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 304730 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6701 - 6624. Let c(g) = 2*g**3 - 3*g**2 + 3*g - 3. Let h be c(2). What is the greatest common factor of m and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-1)\/6)\/(-1))\/(16\/(-64)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sshhsssshs. Give prob of picking 1 h and 2 s.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 315\/4 + -929\/12. What is the third smallest value in -0.4, x, 4, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4903 a factor of 284070014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1919)\/202)\/(-2*2\/456). What is the greatest common factor of 57 and j?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -204.2 (b) 4 (c) -47.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 8 = -a - 5*j, a = 4*j + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 581429*h**2 - 7185443 wrt h?\nAnswer: 1162858*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.04, 5\/13, 0.4, -1, -85 in descending order.\nAnswer: 0.4, 5\/13, -0.04, -1, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1283819836114 and -228.\nAnswer: 1283819835886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 12:23 PM?\nAnswer: 11:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-22)*p)**(-13\/4)*p**(1\/7)*p**(-2\/5) assuming p is positive.\nAnswer: p**(9519\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(833) + (sqrt(833) - 4*(sqrt(833) + -3*sqrt(833) - sqrt(833))) - sqrt(833)) + ((sqrt(833) - (-1 + sqrt(833))) + sqrt(833))*-1)**2*3.\nAnswer: -504*sqrt(17) + 359860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3805422 is divided by 367.\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5527609?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 61 + -98?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 - 37. Let c = -35476 + 35609. What is the remainder when c is divided by a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -61*m + 595. Does 28 divide o(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 e when four letters picked without replacement from {e: 3, w: 4, l: 6}?\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 3. Let x(z) = -107*z**2 - 24*z - 3. Let n(u) = u**2 + u - 1. Let r(c) = t*x(c) + 3*n(c). Find the second derivative of r(i) wrt i.\nAnswer: 220","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 10 + -5. Differentiate 3*a**4 + 6*a**4 - o*a**4 - 5 with respect to a.\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/19 and 3\/19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -2486 (b) -613 (c) 2 (d) 0.4 (e) -3\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -96 and 400259.\nAnswer: -38424864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 226*j**2 - 458*j**2 + 231*j**2.\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/7)*r*r\/r**(-9)*r*r**(16\/5)\/(r*r**(1\/3)) assuming r is positive.\nAnswer: r**(1396\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 731084?\nAnswer: 2, 193, 947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 3767867111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = -3*c, 2*u - 2*c = -7*c. Suppose 5*j - 2*j - 369 = u. Suppose 4*k = 7*k - j. Solve -2*p = 5*i - 10, -4*i + k - 16 = 5*p for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 425*y**2 - 68*y + 596*y**2 - 719*y**3 - 322*y**3 + 68*y wrt y.\nAnswer: -6246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 239\/21 - 15 - -1 - 7\/(-3)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n + 22*n - 7*n - 5*n. Let a(g) = 0*g + 0*g + 2*g**2. What is a(i(m))?\nAnswer: 32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -4*y**3 - 8*y**2 - 4*y - 3. Calculate the remainder when 298 is divided by v(-3).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-9*c**2 - 37*c**2 - 4*c**2)*(2*c + 40 - 19 - 11 - 16) in the form r*c + v*c**3 + l + q*c**2 and give v.\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(1\/(-4)*-2). Let i(j) = -3*j**2 + 2*j - 2. Let g be i(2). Let m be ((-4)\/(-10))\/(18\/g). Put p, m, 2 in decreasing order.\nAnswer: 2, m, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 - 46*w**2 - 2837*w + 194. Let t be f(81). Let h(p) = 80*p. Suppose -2 = -i - i. Let d be h(i). What is the greatest common factor of d and t?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 582 = -43*b - 63 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 929 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 68 and 48443506.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 212133970 a multiple of 283?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 50 + -30. What is the least common multiple of 15\/(-10)*220\/(-15) and k?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 2*m**2 + 5*m + 3. Let t(o) = o**3 + 2*o**2 - 6*o - 4. Let s(n) = 6*d(n) + 5*t(n). Let x = -133 + 130. Calculate s(x).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 19550831*q**2 - 35102498?\nAnswer: 39101662*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*p - 899 = 3133 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -13397.157 and 5.\nAnswer: -13392.157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (15\/(-2))\/((-11)\/(-22)). Let g(o) = 6*o**3 - 90*o**2 + 147*o - 78. Let x(u) = u**3 - 13*u**2 + 21*u - 11. Let h(k) = s*x(k) + 2*g(k). Factor h(w).\nAnswer: -3*(w - 3)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (10 + -4 + -6)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 1963, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k = -1148694*c + 1148695*c + 105, 0 = k + 5*c + 3 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2847\/430 or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*i - 725 = -20*i - 23*i for i.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2 - 327201*s + 57168300.\nAnswer: 3*(s - 108892)*(s - 175)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.02354 or 2\/551?\nAnswer: 0.02354","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-7*(-10)\/35)\/((-4)\/(-10)). Solve q*o + 6 = 2*m, 5*m = -0*m - o + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of o**2*t - 273433713*o**2 - 9*o*t + 108210*t wrt t?\nAnswer: o**2 - 9*o + 108210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1085, 553, 33, -469, -947, -1395, -1807?\nAnswer: -2177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -5)*384\/(-20). Suppose -5*f = -9*f + s. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*i + 9*i - 9*i)*((-2 + 6 - 3)*(-3 + 1 + 4) + 1495 - 2954 + 1603).\nAnswer: 2482*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200 and 1200.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*i = -28*i - 12. Let z = -2.7 + -12.3. Which is greater: i or z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -79\/160 + 3\/32. Let d = -2 + 3. Let h = 6 + -11. Which is the third biggest value? (a) w (b) h (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 divided by 612?\nAnswer: -41\/306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/16 and -41\/3876?\nAnswer: 15504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of -g**5\/60 + 7*g**4\/24 - g**3\/6 + 44*g**2. What is k(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (1 - 2)*73*(2 + -3). Let b = -57 + x. Calculate the greatest common factor of b and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 19, -3 in decreasing order.\nAnswer: 19, 5, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/2 and 298\/40 - (-3)\/(-12).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ansl when four letters picked without replacement from {s: 2, j: 1, l: 8, x: 1, a: 1, n: 2}.\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, v: 2, z: 10}. Give prob of picking 3 z and 1 v.\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044649431 a multiple of 399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, q: 3, g: 2, u: 1}. Give prob of sequence ug.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 5. Suppose -2*b + 4727 - 4717 = 0. Let i(c) = c - 1. Suppose y - 6 = -y + 2*w, 3*w = y - 7. Give b*i(o) + y*h(o).\nAnswer: 5*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1366, -1385, -1434, -1525, -1670?\n\"Answer: -2*t**3 - 3*t**2 + 4*t - 1365","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 59611\/1806 + 35\/258. Let j = n + -33. Let i = 83 + -83. What is the nearest to i in -2, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 - 3)*(-k - k + 0*k + (4 + 0 - 2)*(2*k - 6*k + 2*k) - 3*k + 4*k - 2*k + 2*k - 2 + 2) + 346*k + 11*k - 58*k in the form t + r*k and give r.\nAnswer: 314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -4*f**2 + 822*f - 417. Give a(205).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -4*b**4 + 4308*b**3 - 8596*b**2 - 4308*b + 8600 = 0.\nAnswer: -1, 1, 2, 1075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51913*a**3 - 5964171*a**2?\nAnswer: 311478","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -702 + 732. What is the remainder when (5 + 3)*(-87)\/(-6) is divided by g?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3 = -3*h + 6*q, 4*q = -4*h - 4. Which is greater: h or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -47123940 by -3.\nAnswer: 15707980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-38)\/36)*2\/6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 15*c + 2*c - 88 = 14*c, 56 = -2*j + 2*c for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 9 - 9)*(-3*b + 3*b + b**2) + 0 + 0 - b**3.\nAnswer: -5*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 3 = -0. Suppose 1 = 3*p + 4. Suppose -12041*s = -12039*s + 3*u + 16, 18 = -s - 4*u. Which is the second smallest value? (a) v (b) p (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 0 + 2 + (3 - 4 + 0)*(3 - 3 - 1) + 1 + 10 + 7)*(11 + 2 - 9)*(-2*v + 2*v - 4*v) to the form k*v + f and give k.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 58715 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 972505?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -14*f**5\/5 - 18*f**4 - 98*f**3\/5 + 186*f**2\/5 + 112*f\/5 - 96\/5 = 0.\nAnswer: -4, -3, -1, 4\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -5, 85, 1, -86 in descending order.\nAnswer: 85, 1, 0, -5, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -38 divided by 215\nAnswer: -38\/215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u - 1. Let z be k(-3). Suppose -z*b = -11 - 19. Is b*4 - -3 - 3 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 19 = -21. Suppose k - 5 = -j*y, -3*y - 15 = -6*y - 3*k. Solve -3*t + 3*n - 21 = y, 4*t = -n + 2*n - 16 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 187420 and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(13)*3*6 + (3*sqrt(325) - sqrt(325))**2 + -5*(sqrt(13) + (sqrt(13) + sqrt(52) + sqrt(13))*3)*3.\nAnswer: -177*sqrt(13) + 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -406.021933 - -406.06. Let l = b + -0.038. Round l to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1295, 2777, 4473, 6389, 8531, 10905?\n\"Answer: x**3 + 101*x**2 + 1172*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44 = -7*k + 26. Suppose -78*q + 83*q = k. Solve q*d = -d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -11. Suppose m*t - 27 = 25. Which is greater: 25 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1074 and 3\/3140 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-111)\/2)\/(3\/(-2)). What is the first derivative of -41 - 12 - o*x**2 - 16 wrt x?\nAnswer: -74*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 12, y: 3}. What is prob of picking 1 a and 2 y?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes before 4:18 AM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v + v + 0*v)*((1 + 3 - 5)*(0*v + 0*v + 2*v) + 2*v + 2*v + 0*v) in the form o*v**2 + s + n*v and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k\/(k**(-12)*k)))**1*k\/k**(-19)*k*k*(k\/(k\/k**(-14\/5)))\/k assuming k is positive.\nAnswer: k**(36\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 8:35 PM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - 4*j**2 + 10*j + 18. What is t(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -27 (base 8) to base 5\nAnswer: -43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 2)*(178 - 19 + 21)*(g + 0*g - 5*g)*(g - g - 2*g).\nAnswer: 1440*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2182236 and 6?\nAnswer: 2182236","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 17 (c) -3 (d) -4\/3 (e) 1\/90 (f) 0.2807\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10687703?\nAnswer: 13, 822131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13.82 - -0.18. Let n = -13.5 + y. Let c = 9 - 9. Sort c, 2, n in ascending order.\nAnswer: c, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 119*r - 677. Determine h(113).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8765 is divided by 1456?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.3 + 4. Let k = b + 0.6. Sort -2, 5, k in decreasing order.\nAnswer: 5, k, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2825279, 0 in ascending order.\nAnswer: -4, 0, 2825279","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9072, 18117, 27164, 36213?\nAnswer: 45264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115260 divided by 9605.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that -1 + 9\/2*v - 6*v**2 + 2*v**3 = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 2:37 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 51 = 41. Let b = v - 82. Suppose -111 = -5*g - 1. What is the smallest common multiple of g and b?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129767?\nAnswer: 11, 47, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-126)\/(-3)*1\/2*11. Let w(t) = -t**3 - 3*t**2 + 7*t + 6. Let q be w(-5). Calculate the greatest common factor of q and n.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 594, 599, 610, 627, 650, 679, 714?\n\"Answer: 3*k**2 - 4*k + 595","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 29 (b) -0.25 (c) -1 (d) 2 (e) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 12\/1*68\/(-1360)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 12 * 26.3\nAnswer: 315.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 4*z + 2. Let l be y(4). Let m = -49 - -54. Suppose -l*f = -5*g + 99, m = 2*g + f - 31. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*o + 45 = -3*u, 307*o + 9*u + 135 = 312*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0*i + 0 - 2\/3*i**3 + 2*i**2 + 1\/24*i**4. Let c be l(11). Solve -c*j = -2*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -41*v**2. Let z(d) = 24*d. Give i(z(f)).\nAnswer: -23616*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -1 + 5. Let m = 2.293 - 108.593. Let l = m + 106. Which is the nearest to -1\/4? (a) r (b) l (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.05138 + 1.94012. Let u = y - 2. Round u to three decimal places.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w**3 - 3*w + 1 + 3*w)*((13*w - 9*w + 10*w)*(1 - w - 1) - 4*w**2 - 7*w**2 + 5*w**2).\nAnswer: 20*w**5 - 20*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6696 - 6645. Solve 4 = 52*q - l*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -26 + 31. Suppose 0 = 2*w + 5*s - s - 136, h*w + s - 313 = 0. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -382 + 384. What is the third smallest value in 22, a, -0.5?\nAnswer: 22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 147, 164, 181?\n\"Answer: 17*l + 130","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -813*x**2 - 53. Let y(s) = -65*s. Calculate w(y(l)).\nAnswer: -3434925*l**2 - 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) 0.1 (c) 3\/2 (d) 0.2 (e) -725 (f) -11 (g) 1\/4\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76248931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46503 divided by -24.\nAnswer: 15501\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2634*i**3 + 52*i**2 + 11*i - 5204. Let t(b) = -659*b**3 - 14*b**2 - 3*b + 1301. Let w(l) = 3*q(l) + 11*t(l). Find the third derivative of w(c) wrt c.\nAnswer: 3918","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1111 = -15*g - 1. Calculate the highest common divisor of 1961 and g.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/71? (a) 0 (b) 0.3 (c) -5\/3 (d) -12\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 679\/138 + (-58)\/667 - 4?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -968\/12737?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(24) - -2*sqrt(3456))\/(sqrt(144)\/sqrt(3)) - -4*(((sqrt(72)\/sqrt(4))\/sqrt(9) - sqrt(2)) + 0)*-6))**2.\nAnswer: 75*sqrt(2) + 643\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p and 1 b when two letters picked without replacement from {p: 3, b: 1, w: 2, z: 6}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**8)**(-2\/15)\/(t\/t**(11\/2)*t*t**(-8\/11)) assuming t is positive.\nAnswer: t**(1043\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 10\/7 or -11120899?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 803 is divided by 475.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*n - 9*n = 41 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hp when two letters picked without replacement from {p: 6, x: 1, j: 2, y: 4, h: 1, e: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 164192736 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.1 - 0.6. What is the nearest to 4 in g, -1.1, -3, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97*u + 83*u = 6160. Let d be (u\/(-275))\/(4\/10). Solve 5 = -5*c - 3*y, -2 - 16 = c + d*y for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1170\/17 + -1756136\/25517. Which is greater: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*s - 30*s - 57*s)*(-s + 2*s + s)*(0 - 3 + 4) as k*s + u*s**2 + l and give u.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/17 (c) -209 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -55543.38 * -0.01.\nAnswer: 555.4338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -2*z**3 + z**2 - z. Let y be u(1). Calculate the common denominator of 61*3\/(96\/2) and (1\/(-7))\/(y\/83).\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32884 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2831704?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1 + 310)*12\/36 is divided by 47?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4085 to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -3464.54149 rounded to one dp?\nAnswer: -3464.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - 1 - 11. Solve 5*h = -31 + l for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**3 - 2*y + 747*y**2 - 1487*y**2 + 743*y**2)*(2*y**2 - y**2 - 3*y**2).\nAnswer: 2*y**5 - 6*y**4 + 4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-68))\/((-133)\/(-2261))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38201609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 179*x**2 - 8*x + 10. Let z = -35 - -37. Does 31 divide h(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, 2, 16 in decreasing order.\nAnswer: 16, 2, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 1, 7, -1\/25?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -854 - -1549. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 328564.\nAnswer: 2, 82141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2.53 + 296.\nAnswer: 293.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 12\/(-2) + (5 - -1). Let w(c) be the second derivative of 0*c**3 - 3\/20*c**5 + 0 + 3\/2*c**2 - c + q*c**4. What is the derivative of w(n) wrt n?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the first derivative of 9*g**4\/2 - 14*g**3\/3 - g**2\/2 - 5056*g - 2815. Differentiate v(c) with respect to c.\nAnswer: 54*c**2 - 28*c - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -82?\nAnswer: 1\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 3 z when four letters picked without replacement from zzzqqweez.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*v**2 + 11*v**2 + 2*v**2 + 3*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3673235 to the nearest integer?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 249*l**2 + 7727*l + 485. Give b(65).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -674.34891 - -674.06. What is u rounded to three dps?\nAnswer: -0.289","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 7:08 AM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -34402 + 27246389\/792. Find the common denominator of g and 26\/33.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-12)\/1)\/((-39)\/59085)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 66 or 2344?\nAnswer: 2344","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.07 (b) -11 (c) 2\/9 (d) -2\/5 (e) -6 (f) 0.19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 131 - 3 + g**2 - 128. Let u(m) = 12 + 14 - 8 - m**2. What is k(u(o))?\nAnswer: o**4 - 36*o**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 53000000 to the nearest 1000000.\nAnswer: 53000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -108316\/25 + 4334. Find the common denominator of 44\/37 and s.\nAnswer: 925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.6 - 1.4. Suppose 0 = -5*h + 14 + 16. Let o be ((-7)\/(-14))\/(2\/h). Which is the third smallest value? (a) o (b) -0.5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o - 1. Let s(m) be the first derivative of -m**4\/4 - m**3 + 9*m**2\/2 + m + 13. Let g be s(-5). Give c(g).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*f + r + 387 - 341 = 0, -68*r = -f - 0*f - 69*r + 2 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 18*r**3 + 6*r**2 - 246*r + 707. Calculate g(3).\nAnswer: 509","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 826*k**2. Let r(l) = 6*l. Give q(r(z)).\nAnswer: 29736*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -1. Let s = -3.8751 - -3.94. Let l = s - -0.1351. Which is the third biggest value? (a) o (b) 3\/4 (c) -4 (d) l\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ov when two letters picked without replacement from ovuiodp?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -0.033 (c) -3 (d) 18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = 3*t + 3, -t - m + 4*m = -3. Suppose 0 = -t*b + b - 4*x - 27, 3*b = -5*x + 64. Does 23 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -96600 divided by -1.\nAnswer: 96600","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 69567649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 133 and 129941?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-34)\/(-136)*1)\/(3\/18). What is the closest to w in -0.5, 0.3, 1\/3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4264 (base 14) to base 11\nAnswer: -8675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -273*d**3 - 4*d**5 + 674*d**2 - 576 + 480*d - 209*d**3 + 120*d**3 - 92*d**4 - 114*d**3 - 6*d**2 = 0.\nAnswer: -12, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = -2*q - 16, 5*m - 43*q = -45*q + 11. Solve 3 = -f - m*l, -13 - 12 = -5*f + 5*l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36\/761 + 112808\/3805. Suppose 0 = 152*v - 147*v - 140. Let h = v - x. Which is smaller: -2 or h?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 3*i**2 - 4*i + 2. Let b be u(4). Suppose -b*r - 28 = -9*r. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -539 - -510.5. Let q = 26 + -55. Let a = t - q. Do a and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5? (a) -0.3 (b) 4 (c) -1\/5 (d) 262 (e) -1\/425 (f) 0.31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5122280?\nAnswer: 2, 5, 37, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -79 or -571?\nAnswer: -571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 438 - -583. Let x = f - 1021.08336. Round x to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*z - 17*z + 2 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(343) - (sqrt(343) + 2))**2*1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 46, 2, -2381, 1\/15 in descending order.\nAnswer: 46, 2, 1\/15, -2381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 25. Suppose i*b - 25*b = -40. What is the remainder when 16 is divided by (-12)\/b*(-3 + 4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 262602 is divided by 12410?\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 29 = -4*y, -y + 3*y - 10 = 2*u. Let w be 10\/15 + 14\/y. Put -2, 0, w in increasing order.\nAnswer: -2, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194 = 14*r + 4*o, -22 = 2*r - 3*o + 27 - 32 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 9*n - 185. Let f be m(21). Solve 0 = 5*b + 29 - f for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32, -32, -66, -152, -308?\nAnswer: -552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7 - 13)\/(2 + 0). Suppose -3*n + 1 + 62 = 0. Sort l, n, -2 in descending order.\nAnswer: n, -2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:43 PM?\nAnswer: 12:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8880840 (base 9) in base 2?\nAnswer: -10010001110010010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 11 + 10*o**2 - 24 + 5 + 6*o. Let l be c(2). What is the greatest common factor of l and 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/2 - 2*z**3\/3 - 158. Factor g(s).\nAnswer: -2*s**2*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 3732353.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -777 + 775. Suppose -3*v - 5*y = -3*y - 146, 5*y - 53 = -v. What is the units digit of v\/8 + 1\/l*0?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7.5 - 3.1. Let d = 4 - u. Let w = 7 - 9. Sort w, 0, d in increasing order.\nAnswer: w, d, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 15 - 30, 3*b + 2*d = 1. What is the closest to 1 in 1, b, -1\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -400*h**4 + 322 wrt h?\nAnswer: -1600*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 5*r + 3. Let p be u(-3). Let d be (-284)\/p + 2\/(-3). Suppose 65 = 4*z - d. Calculate the remainder when 87 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n + 16. Let d be f(13). Let c(y) = -2*y**2 + y - 3. Let z be c(d). Let b = 9 - z. Is 7 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1*732\/3*(-2 + 6). Suppose -12*s + h = -8*s. List the prime factors of s.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 55\/1062738 and 23\/4983.\nAnswer: 11690118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q + 1. Let y(a) = 14*a**2 - 4*a - 1. Give 3*d(t) - y(t).\nAnswer: -14*t**2 - 2*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-54)\/36)\/(6\/(-16)). Suppose -5*w + 9 = k. Let j(i) = 2*i - 2. Determine j(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3524, -3530, -3576, -3692, -3908, -4254?\nAnswer: -4760","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32632.\nAnswer: 2, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fzbfcfcbfrsbczc. What is prob of picking 1 c, 1 s, and 2 f?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 80*d - 27. Is t(3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v**(-6)*v)*v*v*v**(1\/6)*(v\/(v\/((v*v\/(v*v**(3\/4)))\/v)))\/(v**(-6)\/v) assuming v is positive.\nAnswer: v**(173\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -3, 19, -12 in decreasing order.\nAnswer: 19, 14, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -3*z + 141. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.233 - 0.232716. What is b rounded to 5 decimal places?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 AM and 7:12 PM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1745002535 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8778.4 and 1.0843?\nAnswer: 8777.3157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -34? (a) 1\/7 (b) -20 (c) -4 (d) 2.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + -545?\nAnswer: -539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + (-119 - -111) + -1 + -1 + 1?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 170*d - 3 + 1.\nAnswer: 170*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 3*d - 7 = -7*q, 4*d = 4*q - 28. Let x(s) = s**2 - 5*s - 3. Let i(h) be the first derivative of -h**2\/2 - h + 86. What is q*i(g) - x(g)?\nAnswer: -g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*d + 3078 = -847. Calculate the remainder when d is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-2 + sqrt(171)*2*-3 - (-5 + (2*sqrt(171) - sqrt(171)) - (sqrt(171) + sqrt(171) + -1 + -2))) + 4)**2.\nAnswer: -120*sqrt(19) + 4291","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000004518458 to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 160\/7, -2, -5, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - -15. Let m = -8 + n. Suppose -m*f = -0*f + 6, -3*f + 20491 = -5*v. What is v rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the third derivative of z**6\/90 - 4*z**5\/15 - 6*z**4 - 2307*z**2. Find f such that k(f) = 0.\nAnswer: -6, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*k + 2*m, 5*m = 2*k - 6*k + 120. Let u = 42 - k. Solve 0 = 6*p - 3*p - u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 times 0.64?\nAnswer: -67.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -51*i + 2. Let j = -27 - -52. Suppose 3*h + j = -4*l, -3*l + 6*l + 3 = 0. Is b(h) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 + 14. Suppose 0*f + u = 3*f. What is the first derivative of -23 + f*r**2 - r + 24 + r wrt r?\nAnswer: 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/635 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(147)*-1 - sqrt(147)))*4)**2.\nAnswer: 9408","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8301189 times -4\nAnswer: -33204756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 0*m + m - 17, 5*x - 35 = -4*m. Suppose 0 = -5*q + 15 + 10. Let c(b) = 2*b - 4. What is the least common multiple of x and c(q)?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -737368*j*m**3*o**3 - j*m**2*o**2 + 28*j*m*o**3 + 2*m**3*o**3 - 1585*m**2*o**2 + m**2 - m*o wrt m.\nAnswer: -4424208*j*o**3 + 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 3*y = 54. Suppose 22 = 4*m - y. Suppose 4*q = 8*q - 4*t - 8, 3*q - m = t. Solve -q*r - 67 = -5*o - 26, -4*o = -20 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46517*l**3*m - 7586603*l**3 - 7*l**2*m - 4*l*m wrt m.\nAnswer: -46517*l**3 - 7*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.09*-56.425.\nAnswer: -5.07825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1069 is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12401 + -12400. Which is the closest to -8\/7? (a) -2 (b) 0.1 (c) -1\/3 (d) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l - 72. Let o be q(17). Let r be (3 - 5 - -139)\/(-1). Let k = o - r. Calculate the lowest common multiple of 42 and k.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4\/(-34) + 2100\/510)\/((-6)\/(-2)). Factor -2*q + g + 2\/3*q**2.\nAnswer: 2*(q - 2)*(q - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence aoea when four letters picked without replacement from {a: 10, e: 1, o: 6}.\nAnswer: 9\/952","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 823011.118 rounded to the nearest one hundred thousand?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/22 and (-14)\/(-2)*-1*(-59)\/3422?\nAnswer: 638","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167650040 divided by 5.\nAnswer: -33530008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 + 7*h**2 + 2*h + 9. Let a be v(-7). Sort 1, a, -1\/4 in descending order.\nAnswer: 1, -1\/4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -12, -124*a - 8 = 4*b - 120*a. Solve -b*f = -f + 4*q + 17, -5*f - 5*q - 25 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 2*n**3 - 121516366*n**2 + 486065440*n - 486065432 = 0?\nAnswer: 2, 60758179","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a factor of 4622877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.08 and -14591.508.\nAnswer: -14591.588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q - 2. Let a(s) = 3*s**2 + 2*s - 1. Let m be a(1). Let p be v(m). What is the units digit of ((-52)\/(-6))\/(p\/3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5093, -5094, -5095, -5096?\n\"Answer: -b - 5092","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - 22 + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.12 - 0.12. Let y = -10 - -13. Which is the third biggest value? (a) y (b) 0.3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1313511 - 23?\nAnswer: -1313534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w + 11. Let x be k(5). Suppose 38 = 4*p + 2*g, 2*p + 2*g + 34 = x*p. Suppose 2*o + 28 = p*o. Is 5 >= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6166580?\nAnswer: 2, 5, 7, 17, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(475) + 2 + (sqrt(475) - (sqrt(475)*-2 - sqrt(475))) + sqrt(475))**2.\nAnswer: 120*sqrt(19) + 17104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 10*q + 26. Let n(o) = 19*o + 51. Let t(i) = -11*m(i) + 6*n(i). Let c(g) = g + 5. Let j(k) = -9*c(k) + 2*t(k). What is j(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*z - z. Suppose 9 = 4*c + z. Let u = -2 + 3. Solve -u = d - c for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19 from -17.86.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/6 - (-77)\/21. Let g(i) = i**4 - i**3 - i. Let b(o) = o**4 - o**3 + 3*o**2 - 7*o. Let a(p) = z*g(p) - b(p). Factor a(v).\nAnswer: 3*v*(v - 1)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 9*d = -2740000. What is d rounded to the nearest 100000?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 29*z. Let s(w) be the first derivative of -2\/15*w**3 + z*w**2 - 2\/25*w**5 - 1\/5*w**4 + 8 + 0*w. What is j in s(j) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -45 or -5276\/121?\nAnswer: -5276\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 22776 and 50406792.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.192 + -0.192. Which is the nearest to -2\/3? (a) g (b) 2 (c) 2\/45\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1 - 4)\/(2\/(-6)). Let l(h) = h**2 - 2*h + 6. Is l(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 1303, 2615, 3927, 5239, 6551, 7863?\n\"Answer: 1312*t - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 29 = -2*f, -f = -2*h + h - 25. Suppose f = 5*b + u - 1, b = u + 1. Let w(x) = -b*x**2 + 14 + 2*x**2 - 14. Let k(y) = 7*y**2. Determine w(k(d)).\nAnswer: -98*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12274825 divided by 2454965\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*q = 9*q - 44, 3*b + 64 = 7*b + q for b.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9240*m - 220 + 220.\nAnswer: 9240*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 + 116?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 6*d + 3. What is the tens digit of a(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6451.\nAnswer: 6451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a + 183?\nAnswer: 175","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:11 AM and 6:57 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1030.2 + 1033. Let p be (12\/(-18))\/((-8)\/3). What is the second smallest value in -1\/5, y, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8394137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 2*p - 54, -g - 18 = -2*g + 2*p. Let n = -11 + g. Is (n + -2)\/(13\/(-689)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*g - 25*g = 6*g - 3952. What is the highest common divisor of 7828 and g?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3995983 and 0.1.\nAnswer: -399598.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 11848 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 16 = -4*z. Suppose -64 = -5*o + z. Suppose 2*b = 10, 2*h - 55 = -20*b + 19*b. Calculate the remainder when h is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1153543 divided by 6\nAnswer: 1153543\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 3. Let a = h + -1. What is the closest to -0.1 in -4, a, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x**2\/2 - 64220*x - 128441\/2 = 0. What is x?\nAnswer: -1, 128441","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 27 and 30980.\nAnswer: 836460","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 10 + 5 + 163*v**3)*(56*v**2 + 27*v**2 - 21*v**2).\nAnswer: 10106*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -22*j**3 + 221148*j**2 + 180958*j - 40212 = 0?\nAnswer: -1, 2\/11, 10053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 958626 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**3 + 9*i**3 + 8*i**3)*(-255 + 115 + 59 - 2 - 2 + 6 + (-5 + 2 + 2)*(0 - 1 + 0) + 2 - 4 + 0 + 2 - 5 + 4) to c*i + z*i**2 + r*i**3 + o and give r.\nAnswer: -1185","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*f**2 - 266*f**2 + 257*f**2.\nAnswer: 103*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -4*y**3 + 7*y**2 - 3. Let s(h) = 3*h**3 - 5*h**2 + 2. Let n(d) = -7*s(d) - 5*u(d). Let x be 4\/7*(-63)\/(-18). Suppose -x*r - 2*r = 0. Determine n(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-580 + 580 + 43*v)*(2*v**4 + 2*v**4 - 5*v**4) + 210 + 67*v**5 - 210.\nAnswer: 24*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 = -j - 20. Calculate the remainder when 34 is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 6*f. Let p(t) = -8*t**2 - 6*t + 6. Let m(k) = -7*k**2 - 5*k + 5. Let i(y) = 6*m(y) - 5*p(y). Calculate l(i(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 30. Solve -2*h = 2*h - q for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65*63311.9\nAnswer: -4115273.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15145, -15712, -16265, -16798, -17305, -17780, -18217?\nAnswer: -18610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 362*l**2 + 8*l wrt l?\nAnswer: 724","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of -z**6\/10 - 5*z**3\/6 + 3*z + 9. Let x(v) be the first derivative of w(v). What is the second derivative of x(i) wrt i?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*c - 24*c - 7*c + 10*c to b*c + f and give b.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**2 + 5*r**2 - 2*r**2 + (3 + 2*r - 3)*(-r + 0*r + 0*r) - 3*r**2 + 3*r**2 + r**2 - 971*r**2 + 72811*r - 72811*r.\nAnswer: -969*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 7*o - 399. Let l(p) = p + 3. Determine b(d) - 6*l(d).\nAnswer: d - 417","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 231, 402, 429, 240, -237, -1074?\nAnswer: -2343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/6 - (-16)\/24. Let a(w) = -d - w**2 + 7. Let f(m) = -3*m - 2*m + 3*m. Give f(a(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*g + g - 8 = -3*z, -20 = -4*g for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*r**2 + 36 + 5*r**4 - 36 wrt r?\nAnswer: 120*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -k + 2*k. Suppose 0 = -k*n + 11 + 41. Let t(m) = -m**3 - m + 9. What is the remainder when n is divided by t(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2123.2 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 24, 3, 1, 30 in decreasing order.\nAnswer: 30, 24, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -10*z**2 + 3*z**3 - 10*z + z - 4 - 2*z**3 - 5. What is the remainder when 23 is divided by x(11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*g**3 - 1915*g**2 - 1130*g + 760 = 0.\nAnswer: -76, -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -16*f + 3. Let w(v) = 10 - 64*v + 0 + 1. Let c = 8 + 14. Let p(x) = c*k(x) - 6*w(x). Let o(y) = -y**2. What is p(o(z))?\nAnswer: -32*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 226?\nAnswer: -224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -77*w**2 + 49*w**2 - 92*w**2 + 65 wrt w?\nAnswer: -240*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -39\/47 and -16\/3055?\nAnswer: 3055","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -274 + 274. Let q(p) be the first derivative of c*p**3 + 6\/5*p**5 - 7\/2*p**2 - 4 + 0*p**4 + 0*p. What is the second derivative of q(l) wrt l?\nAnswer: 72*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 228.8066 years in millennia?\nAnswer: 0.2288066","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*-5*(-9)\/(-36)*-4*11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 1640.3 and -4\/7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -43 + -6. Let o = 44 + v. Which is the closest to 0? (a) -0.5 (b) 0.1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/(518\/519 - 1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x - 67728 + 135460 - 67735 to f*x + g and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 80 + -77. Suppose -3*x - y*a + 21 = 0, -2 = -a + 1. Let f = 30 - 12. Solve -f = x*q - 2 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 16 = -2*w, 2*w - 62425 = -3*p. Suppose 63*g - 66*g + p = 0. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**5 - 2153*a**4 + 43*a**3*o + 598*a**2*o - 51*a*o - o - 1 wrt a?\nAnswer: -60*a**2 - 51672*a + 258*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 5, -1, -69.\nAnswer: -69, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -374629*b**3 + 954200*b**2?\nAnswer: -2247774","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -28*b - 46. Let c be r(16). Calculate the common denominator of (-4 - c\/90) + 4\/10 and 89\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944234 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: Calculate the highest common factor of 105 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z**3 + 7*z**2 + 6*z - 20. Let q be v(-5). Suppose 20*h - 10*h - 100 = q. Solve 0 = -c - 1, 4*c = -4*t + 6 + h for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 2*x - 246. Let c = -5 - x. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 + 1. Let j = h - -17. What is the remainder when 25 is divided by j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124286*j - 124316*j = 450 for j.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21 - 55)\/19*(-2 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198780363?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1195)\/156306*-218*(-18)\/(-820).\nAnswer: 3\/82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + sqrt(60)\/((sqrt(120)*2 - sqrt(120))\/sqrt(10)).\nAnswer: -1 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 5*r - 6. Let v(y) = 1. Let q(w) = -4*w. Let b(k) = q(k) + 5*v(k). Let t(x) = 6*b(x) + 5*j(x). Let p(s) = 2*s**2. What is t(p(g))?\nAnswer: 2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3214, -3811, -4408, -5005?\n\"Answer: -597*s - 2617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1704\/(-17395)*21\/6)\/((2\/(-7))\/(-1))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -128.8 - -119. Let o = -927713760.80000089 - -927713751. Let n = l - o. What is n rounded to 7 dps?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 - -4. Let m(u) be the first derivative of -u**4\/4 + u**3\/3 + 3*u**2\/2 - 2*u - 2. Let j be m(2). Solve s - q + n = -4*q, j = q + 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**3 - 5*u**3 + 3*u**3)*(-u + 4*u - u) + 47*u**4 + 49*u**4 - 119*u**4 + (-2*u**3 - 2*u**2 + 2*u**2)*(-u - 2 + 2).\nAnswer: -19*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + 3*d + 10, -3*d = -y + 60. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 213276840?\nAnswer: 2, 3, 5, 7, 253901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 155 = 4*x - 1585. Let g = x + -229. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 29*y**2 + 3 + 34*y**2 + 41*y**2 - 1 to g + h*y**2 + o*y and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is e49 - -1?\nAnswer: e4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 99 = 3*v - 1, 0 = 2*v + 5*z - 78. Suppose 5*d = 4 - v. Let k be ((0\/(-3))\/3)\/2. What is the third smallest value in 0.1, d, k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*f**3 - 7*f**3 + 4*f**3 + (-14*f**3 - f**2 + f**2)*(-2 + 1 - 1).\nAnswer: 32*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:10 AM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 + -133. Let d = y - -159. Suppose -3*p = 5*r, 6*r = -5*p + 4*r. What is the closest to -0.2 in p, d, -2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01953797925 rounded to 4 decimal places?\nAnswer: -0.0195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -13724\/5 + 2735. Calculate the common denominator of -25\/6 and c.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25*-2 - (-27093)\/821.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 4:18 AM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jg when two letters picked without replacement from {c: 1, g: 3, j: 4}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 3 - 3)*((3 - 5 + 3)*(-2*m + 2*m - 2*m**4) - 2*m**4 + 4*m**4 - 4*m**4).\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 12*g**3 - 3*g**2 + 3. Let i(j) = 18*j**3 - 4*j**2 + 4. Suppose 15 = -h + 2*n, 4*h = 2*n - 31 + 1. Let r(l) = h*i(l) + 7*w(l). Calculate r(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 5*p**3 - 2*p**2 - 3*p - 6. Let w be -6 - (2 - (-54)\/(-9)). Let a(l) = -4*l**3 + 2*l**2 + 2*l + 6. What is w*j(b) - 3*a(b)?\nAnswer: 2*b**3 - 2*b**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -208 - -210. Solve 0 = -y*z + 3*z + 5 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**2 + 107*c + 2731. Calculate q(-65).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 + -0.859\nAnswer: -1.359","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/3 (b) -0.3 (c) 0.10092\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.6? (a) -1\/5 (b) 33 (c) 0.3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 3 - 3)*(0*b + 4*b + 5*b).\nAnswer: -117*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2484099, 4967808, 7451517, 9935226, 12418935?\nAnswer: 14902644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01223 to three dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4 - (-2511)\/21 - 3\/(-7). Which is bigger: d or 117?\nAnswer: 117","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24555 by 44656.\nAnswer: 24555\/44656","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the third derivative of -w**6\/20 + 181*w**5\/60 - 4169*w**4\/12 - 3435*w**2. Find the second derivative of h(q) wrt q.\nAnswer: -36*q + 362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 8 + 12. Suppose -q + 4*q = 5*m - 140, m - h*q = 45. Suppose -m = -5*x, -4*x - 16 = -4*d + 52. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 1:18 AM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**3 - 12*t**2 + 10*t + 16. Let o be b(11). Suppose 3*c + v = 41, 2*v + 75 = o*c - 3*v. Solve 17*y = c*y + 3 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 3*z = 2, -3*a + 0*z = -2*z - 2. What is the second derivative of a*m + m + m + 4*m**2 - 2*m wrt m?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from grrrrggrgrggggrrrrrg. Give prob of sequence grgr.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 10) + (-3 - (-9 - (-10 + 6)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Which is the nearest to -4? (a) s (b) 5 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26*s - 803 + 543 = 0 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/449 at least -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3230 - 3235. Sort -0.1, 0.4, d, 2\/11 in decreasing order.\nAnswer: 0.4, 2\/11, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 571\/(1\/(-3)*-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12506342 and 18?\nAnswer: 112557078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*o**3 + 2*o**3 + 4*o**3 + (-113*o + 519 - 519)*(-2*o**2 + o**2 - o**2) - 8*o**3 + 7*o**2 - 7*o**2 to the form c + x*o**3 + w*o**2 + q*o and give x.\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*p**3 - 128196*p**2 - 7056351*p - 2802030 = 0. Calculate p.\nAnswer: -8491, -55, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = -9*h - 120 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 2 w when three letters picked without replacement from {k: 1, b: 1, w: 1, u: 1, o: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**12*v)\/v*v\/v**(-19)*(v**(3\/19)*v)\/(v*v**(-3\/8)\/v*v*v*v) assuming v is positive.\nAnswer: v**(4641\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 83848*g**3 + 16491446*g**2 + 825261644*g + 1585228320 = 0. Calculate g.\nAnswer: -97, -2, 42120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1\/3 - -1\/6. Sort o, -5, -1 in increasing order.\nAnswer: -5, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of x**4\/4 - x**3 + 4*x - 3. Let c be f(3). Find a such that 3*a**2 + a**2 - a**4 + 3 - 2*a**2 - c = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 72*l + 609 - 33 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2025609 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -262 (base 7) to base 3\nAnswer: -12021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/80 - (24\/36 - 437\/570))*-91?\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ygii when four letters picked without replacement from yuyughiiuuuy?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of -1\/14*o**4 + 2\/7*o - 2 - 2\/21*o**3 + 1\/7*o**2. Factor t(q).\nAnswer: -2*(q - 1)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73028291179 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -s - 2*a + 88, -2*a = 5*s + 92. Let u = s - -29. Let g(i) = -5*i + 0*i - 10*i + u*i. Let o(x) = 5*x**2. Give g(o(l)).\nAnswer: -20*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 + 36 = 10*m. Let u(t) = 44*t**2 + 5*t - 2. Let g(d) = 46*d**2 + 5*d - 2. Let a(v) = m*u(v) - 6*g(v). What is the second derivative of a(k) wrt k?\nAnswer: 64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.09 + -0.29. Let p be (1 - 1)*(-3 + 4). What is the biggest value in p, g, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 2:32 AM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2311 (base 9) to base 7\nAnswer: 4663","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11428, -22862, -34308, -45772, -57260?\nAnswer: -68778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 580 by -1.\nAnswer: -580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 77500 and 69068?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -5) + -107 + 100.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 12:30 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 291397291 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 5*u - 221 = 0, -r - 3*u = -4*r + 165. What is the lowest common multiple of r and 10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 876*l + 5306 = -103*l + 221*l for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from txts.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 144*g + 12. What is the units digit of u(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -277.38 - -281. Let a = q - 0.47. What is a rounded to one dp?\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3520 in 5, 4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 44639435?\nAnswer: 5, 23, 388169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6991438um in kilometers?\nAnswer: 0.0000000006991438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 3*z - 20, -5*s + 4*z = -3*s - 10. Let v = s + 11. Calculate the highest common factor of v and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 311*g = 317*g + 12 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r - 2. Let d(t) = -3*t + 15. Give d(a) - 2*l(a).\nAnswer: -a + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 140667, 140618, 140559, 140484, 140387, 140262, 140103, 139904?\n\"Answer: -k**3 + k**2 - 45*k + 140712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*z - 754 = 25. Let w(o) = o**3 + 19*o**2 - o - 10. What is w(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in v**2 - 2615195*v + 2615195*v.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -56 + 40. Let o = -16 - p. Suppose o = -h + 67 + 306. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52488 and 22872.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:32 AM and 6:24 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(80)*-1 + -1))**2.\nAnswer: 32*sqrt(5) + 324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 8:53 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.16 - -0.396. Let j = 0.074 - m. What is j rounded to 2 dps?\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -9 - 3\/6*-6. Let r(k) = k**2 + 2*k + 6. Let z be r(q). Let x be z\/((-3)\/4*-2). Calculate the highest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 35 = -3*i. Let w = 2 + i. Calculate the greatest common factor of 72 and w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -106510 (base 8) to base 3\nAnswer: -1211121120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 2) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -41? (a) 0.01 (b) 4 (c) 2\/5 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 227?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 303*t**5 - 294*t**5 + 0*t**4 + 0*t**4 + 10*t wrt t.\nAnswer: 180*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 42704, 85441, 128178, 170915, 213652, 256389?\nAnswer: 299126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51403*z**6 + 48173*z**2 wrt z.\nAnswer: -6168360*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -11. Let g = -0.2 - -0.4. Let y = g + -0.2. What is the nearest to y in c, -0.4, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 + 8*x - 16. Let q be z(-14). Suppose 21*r = 25*r - q. Solve 4*u - 15 = -4*s - u, -4*s + r = 3*u for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 2) + 27 + -14.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.43 - -0.03. Let p = -14 - -16. Let o(g) = -g**2 - g + 2. Let f be o(p). What is the second smallest value in f, b, 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/2 - (-2 + 5 + -49). Let u = w + -36. Let l(m) = 27*m - 15. Is l(u) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pbp. What is prob of picking 3 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2097, 4195, 6293, 8391?\nAnswer: 10489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7278*f + 2*p = 7276*f - 10, -4*f + 3*p + 8 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -100 != -68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 3*t**2 + 4*t + 1. Let u(d) = -3*d**2 - 3*d - 1. Suppose 3*g - 3*s + 24 = 0, 0 = g - 4*s - 692 + 715. Determine g*u(p) - 2*w(p).\nAnswer: 3*p**2 + p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2293 = 5*l + 2*a, 4*l = -5*a - 121 + 1969. Suppose 4*s + 3*k - l = 0, -k = -5*s - 0*k + 576. Suppose 5*f = -0*f + s. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 10 = 3*h. Let k be h*(-4)\/40*10. Let s be (4 + (-48)\/15)\/(-2). What is the nearest to s in k, 8, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-3)\/12)\/((-5)\/32)*215?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 2 n when four letters picked without replacement from dnnkknnnk?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17892 is divided by 3572?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 80 = 5*f - 84, -12 = 3*f. Suppose p + 8 = -3*m - p, 11 = -3*m - 5*p. Let t = m + 5. Solve 0 = -g, t*k - 2*g + 1 = -q for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1265 and 165.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64*v + 83*v - 1134 = 21*v. Suppose 0*x = 3*x + 4*c + 16, 4*c = 5*x - 16. Solve 2*j + v - 13 = x for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - 11*t + 22. Let b be c(10). Solve a - 4*a = -b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/7)*c)**(-1\/14)*c\/(c*c**(1\/3)\/c*c)*c**2*((c\/(((c*c**(-1\/2))\/c)\/c))\/c)**3*(c**1*c)**(13\/4) assuming c is positive.\nAnswer: c**(1844\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428623.\nAnswer: 7, 127, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2611*l - 23293. Determine z(-9).\nAnswer: 206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 242, -1 in descending order.\nAnswer: 242, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*q = 4*q + 5*q - 750 for q.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -8*k**2 + 4*k - 3. Let i(r) = -7*r**2 + 3*r - 3. Let f(y) = 7*i(y) - 6*z(y). Let s(d) = -d**2 - 8*d - 9. Let o be s(-7). Give f(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*b - 1398360 = -63*b + 14*b. Round b to the nearest 1000.\nAnswer: 117000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (5 + 6 + -7).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(30)\/(sqrt(864) + -2*sqrt(864)).\nAnswer: -sqrt(5)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 2*z = 2*w + 1138, -z + 1415 = 5*w. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 29*j**2 + j. Let a(p) = 23*p. Determine a(l(u)).\nAnswer: 667*u**2 + 23*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 336, 349, 384, 453, 568?\nAnswer: 741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 61182.826 rounded to the nearest one hundred?\nAnswer: 61200","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10637?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/6 - 32\/5 - 324\/(-585)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9 + 2*b**5 + 118*b**2 - 19 - 18 - 3*b wrt b.\nAnswer: 40*b**3 + 236","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-102) + (-485317)\/(-21182)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-119)\/(-14))\/((-2)\/(-4)). Let u = d + -15. Is (10\/(-4))\/(u\/(-148)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 14356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 576 and 128?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -12 + 15. Let c = 6 - k. Suppose c*f + 29 = 110. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -552608, -1105227, -1657846, -2210465?\n\"Answer: -552619*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -233*q**2 - 10*q - 76. Let a(i) = 233*i**2 + 12*i + 77. Let x(y) = 5*a(y) + 6*j(y). Differentiate x(g) wrt g.\nAnswer: -466*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 76*y + 20. Let j be t(-10). What is the tens digit of 1 - 7\/(35\/j)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -386, -826, -1266, -1706?\n\"Answer: -440*m + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h**3*o**3 - h**3*o**2 + 11*h**3*o + 274*h**3 - 7*h*o**3 + 3*h*o**2 + 2*h*o + 2313*o**3 wrt o?\nAnswer: 12*h**3 - 42*h + 13878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2*(-33)\/(-88))\/(6\/(-8)). Sort -1, x, 484 in ascending order.\nAnswer: -1, x, 484","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 8*t + 14. Suppose -t = -2*l + 2. Suppose -l*s - s = -18. Solve -4*x - 4*r - 16 = 0, -4*x = 3*r + s + 6 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/14 - (-1860)\/1050)*147\/2058?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3011880?\nAnswer: 2, 3, 5, 19, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -21*b - 19. What is the tens digit of i(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, 251, -1\/4, 0.5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 523 (base 6) in base 11?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**2 - 6*z. Let d = -6 + 1. Let w be p(d). Solve -2*q + 11 = w*r, 2*r - 4*r = -q + 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -95c + -3?\nAnswer: -962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 5*c + 6. Let n be v(4). Suppose 5*u + 115 = 2*r, -n*r = -6*r. Let x = u + 42. What is the remainder when 37 is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -374 in -4, -137, -5, -7\/4?\nAnswer: -137","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -20 (base 5) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jqaw when four letters picked without replacement from rjwraqhrarhq.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.70171 to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-12)\/(-18)*-66*(-14)\/(-8). Let a = 70 + w. Let v(i) = -5*i + 69. What are the prime factors of v(a)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 705\/154556 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -2*o - 506. Is 23 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 - 5. Let v(l) = -6*l**2 + 12*l + 64. Let j(o) = -5*b(o) + v(o). Calculate j(17).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24310 - 104?\nAnswer: -24414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 67*i**3 + 3*i**2 + 49. Let w(m) = 5*m**2 - m**2 + 98*m**3 + 48 - 31*m**3. Let o(d) = 4*k(d) - 3*w(d). Find the first derivative of o(t) wrt t.\nAnswer: 201*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 30 = 3*q. Suppose 46 = 4*k + q. What is the remainder when 29 is divided by k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/90*u**5 + 1\/9*u**3 - 17*u**2 + 1\/18*u**4 + 0*u + 0. What is h in p(h) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2774079 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 115, 212, 309, 406?\n\"Answer: 97*m + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146 = -2*m + n + 575, -2*m - 5*n + 703 = 0. Let i = m + -342. Let l(f) = f**3 + 2*f**2 - 5*f + 2. What is the remainder when l(3) is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r - 81. Let g be s(0). Let w be g\/((105\/(-10))\/7). Suppose 4*z = -2*z - w. Is -8 != z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, w: 2, l: 9}. What is prob of picking 1 l and 1 d?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -624 or -626?\nAnswer: -624","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 21301248 = -401248. What is l rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2939735*o**3 - 40*o**2 - 1018*o.\nAnswer: 17638410","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.084, -3\/4, 1\/121 in increasing order.\nAnswer: -3\/4, 1\/121, 0.084","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -165 - 200*u**3 + 149 - 3*u**3 wrt u?\nAnswer: -609*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.6 + 1.8. Let j = 4.3953 - v. Round j to three decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 8347*x + 81. Let l(w) = -16695*w - 178. Calculate -11*g(d) - 5*l(d).\nAnswer: -8342*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, b: 3}. Give prob of sequence dddd.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 267, 269, 271?\n\"Answer: 2*y + 265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**2. Let a(f) be the third derivative of 0 + 7\/30*f**5 + 0*f**4 + 10*f**2 + 0*f + 0*f**3. Calculate x(a(p)).\nAnswer: 196*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1708 = -236*q + 53*q + 1403 for q.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-2)*((-344)\/(-48))\/43.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-342*r + 11*r - 5*r)*(-r + 2*r**2 + r) as j*r**2 + v*r + x + i*r**3 and give i.\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -119 - -118.6. Suppose 0*o + 4*o = 24. Suppose 0 = -2*x - 4*p - 16, p + o = -2*x - 1. Sort x, -5, d in descending order.\nAnswer: d, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -156150 by -10410.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 163 - 149.2. Round v to zero dps.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 69851*t**3 + 18*t**2 - t - 3. Let h be j(-1). Round h to the nearest one hundred.\nAnswer: -69800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 10*c**2 + 7*c + 4. Let m(w) = 45*w + 324. Let p be m(-7). Give b(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 19, -3188 in descending order.\nAnswer: 19, -3, -3188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*r + 1216 = -140*r. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -867 = -3*f - 3*a - 855, 4*a - 30 = 3*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2550960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 29\/3 - 1\/(-3). Let y be 24\/s*10\/4. Solve -w = y - 7 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 35405 * -146.3\nAnswer: -5179751.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 6899956?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 5249692 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-three fifths of a litre?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2017 - -2419. What is the remainder when y is divided by 68?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1456 is divided by 184.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 2694624 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + 3*r**2 - r - 8. Let h(k) = k**2 + 6*k - 11. Let q be h(-8). Is y(q) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 120 + -119. Which is the second smallest value? (a) -10 (b) u (c) 0.5 (d) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cmmbimimmymymff. Give prob of sequence fb.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115*l - 310 = -117*l. Calculate the highest common divisor of 527 and l.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + o = -154. Calculate the greatest common factor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2 - 47*k - 214. Let c be y(-7). Solve c*j + 2*j + 76 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 847 + -502. Suppose 0*z = 5*z - n. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes after 11:46 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q + 931 + 825 - 1756.\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/4867 + 214130\/43803. Find the common denominator of f and 17\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 42\/(-12) + 1*(-4)\/8. Let t(z) = -5 + 9*z**2 - 4*z + 6*z + 2*z. Is t(o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -165499 at most -165501?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 335 + 0\/5 + -1. Suppose 0 = 5*z - v - 71. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 60 = -v - 6, 0 = 2*s + 3*v - 40. Let i be s\/7 + 18\/(-42). Solve -15 + 23 = i*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1093 + -374. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011110 - -10110001010011001?\nAnswer: 10110001011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*y + y - 19 = 0, -4*b = -5*y - 1. Let m(i) = 281*i - 23. Is m(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -2 - (-1 - -1 - -4). Let q be (-4)\/z - 8\/(-6). Differentiate 8*t**2 - 15 - t**q + 7 - t**2 with respect to t.\nAnswer: 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*n**3 + 9*n**2 - 2*n**2 + 32*n**2 wrt n.\nAnswer: 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.3, 1\/3, -0.2, -4, -38.4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 354128004.\nAnswer: 2, 3, 19, 31, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-66) + 36\/77?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41932 and 239203.\nAnswer: 953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 5*d - d + 10, -4*y + 3*d = -25. Suppose -y = -2*j - 1. Suppose -j*m = -304 - 173. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 7. Suppose -g + 5 = 2*p + p, -5*p + 4*g + 14 = 0. Sort p, 3, y in decreasing order.\nAnswer: 3, p, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28480 (base 9) to base 14.\nAnswer: 70a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 55054 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67224 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*u - 561 = -4*u - 93 for u.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + (-1 - -5 - 903). Let a = -695 - j. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.777 - 0.627. Let j = -143.25 + l. Round j to the nearest 10.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63\/245*1050\/(-2520)*(-32)\/18\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 4 = -2*g, -2*b = 2*g. Put -5, -3, b, 3 in increasing order.\nAnswer: -5, -3, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 57.431 + -88.922. Round l to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 2*z - 1 = 0. What are the prime factors of (-1 - -52) + z - 0?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1438 and 220.\nAnswer: 158180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -13. Suppose 8*t = 7*t + k. Suppose 2*f + c - 387 = 0, t*f - f = -4*c + 593. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of 31*x + 0 - 1\/8*x**4 + 11\/16*x**3 + 9\/16*x**2. Factor i(z).\nAnswer: -3*(z - 3)*(4*z + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-256)\/(-35) - (-59)\/((-9499)\/(-46))) + -8.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**2 - 2*p + 21. Let v be r(0). Suppose 22*i = v*i. Solve -1 = m - i for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**3 + 9*w**2 - 2*w - 2. Calculate the remainder when 30 is divided by v(-9).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1233*d**3 + 68*d + 4843*d**3 + 3431*d**3.\nAnswer: 7041*d**3 + 68*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -236 divided by -59\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*h - 4. Suppose 3*l + 3*t - 2 = -t, -3 = 3*t. Solve 3*j = -h*j - l*p + 4, 10 = 5*p for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -73. Suppose -p + q*p - 762 = 0. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*((-105)\/10 + -2). Suppose 0 = 13*n - 18*n - 5. Let y be ((-3)\/(-2))\/(3\/(-6)). Sort k, y, n, 0 in decreasing order.\nAnswer: 0, n, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (243\/39)\/((-4589)\/59657)\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8434.876645 + 0.176645. What is c rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 48. Suppose -x = 2*m - 52, 2*m - 4*x + 3 = b. What is the greatest common divisor of m and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -328.4 times -0.1?\nAnswer: 32.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -t**3 + 8*t**2 + 10*t - 6. Let j = 42 + -33. Let i be n(j). What is the highest common factor of 24 and i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 1\/6 (b) -0.01 (c) -0.3 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8\/5)*k)**(18\/11)\/(k**(4\/3)*k**10*k) assuming k is positive.\nAnswer: k**(-2197\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -c**2 + 4*c + 2. Let q(u) = -u**3 + 18*u**2 - 28*u + 18. Let f(x) = 3*k(x) + q(x). Give f(14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + c - 3)*(-19 - 10 - 32 - 2*c).\nAnswer: -2*c**2 - 61*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-315)\/345 + -1 + 2 + 732019\/22241\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 - 167*h + 667\/4.\nAnswer: (h - 667)*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*d = 40*d - 24. Let k(u) = -d*u - 9*u + 24*u. Let h(t) be the third derivative of t**5\/60 + t**2. Calculate k(h(j)).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/9 of a hour in seconds?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18399693 to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5123 and 109.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 + -1 + -58)*-200. Suppose 0*k + 4*k - n = 0. What is k rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2882662 and 26?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.02 (b) -20 (c) 1 (d) -1\/10 (e) -4.3 (f) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b - 5 + 2 = -3*o, -3*o - 9 = b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - p - 171 = -5*p, -p - 125 = -2*k. Let y = 11 - 8. Suppose 0 = -d - 4*x + 7 + 5, -4*d = y*x - k. What is the smallest common multiple of d and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 4, 3\/59, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(4\/9)*n\/n**(5\/6))**45 assuming n is positive.\nAnswer: n**(55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 13 - 2)\/((-14)\/(-1))?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2179?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1448*i + 40 = -1440*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**2 + 8*y - 12. Let k be h(10). Let m = 54 + k. What is the remainder when m is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.06 + 0.44. What is the nearest to -1 in -1\/2, -2, h?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20.3 times 100.46?\nAnswer: -2039.338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-10)\/(-6) - (-6)\/18. Let i(o) = o**2 - 4*o + 1. What is i(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771838 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4\/3)\/((-22)\/33).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 0 + 14*p + 0. Let o(w) = -25*w**2 + 4*w**2 + 20*w**2. What is u(o(m))?\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-6)\/10 + 143\/130 + 124075\/14?\nAnswer: 8863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dp when two letters picked without replacement from plycycds.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9066*p**5 + 47*p - 6?\nAnswer: -181320*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95353 is divided by 31784.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xdrxr. What is prob of sequence dddr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 23588600 and 36.\nAnswer: 212297400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*b + 1067315664816620 - 1067315664816620.\nAnswer: 15*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 64*x + 69*x - 28*x. What is the nearest to -21 in -0.2, 3, 5, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*1\/(-48)*-9*-2.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 20633 = 144433\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 104\/27*p**3 - 1352\/9*p**2 - 1\/27*p**4 - 3*p + 6. Factor m(w).\nAnswer: -4*(w - 26)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of 0*j**4 + 0*j**3 + 0*j**2 - 6\/5*j**5 + 3 - 6*j. Find the first derivative of k(s) wrt s.\nAnswer: -24*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.4 + -12.4. Let m = -2\/27 - 23\/54. Which is the fourth smallest value? (a) -2 (b) i (c) -1\/4 (d) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56*y - 136 - 144 = 0 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -15*a**5 + 531*a**4 - 5070*a**3 + 19464*a**2 - 29088*a + 8832 = 0. Calculate a.\nAnswer: 2\/5, 4, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 4:21 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 16949, 33915, 50883, 67853, 84825?\n\"Answer: f**2 + 16963*f - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 165130 to the power of 1\/2, to the nearest integer?\nAnswer: 406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 1 = -3*p. Let w be -2 - 2*p\/(-4). Suppose -5*y = -4*k - 24 - 9, -k - 12 = -2*y. Sort k, w, -9, -3 in decreasing order.\nAnswer: w, k, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -13*q**2. Let g(b) = -35*b**2 - 30*b**2 + 97*b**2 - 30*b**2. Give t(g(x)).\nAnswer: -52*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0642797 + -84.6518?\nAnswer: -84.7160797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -17 - -25. Suppose 5*v = u + v + 15, 2*u + h = -3*v. Let y = u - -17. Solve 5*m + y = 0, 0 = 3*d - 2*d - 2*m - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 327\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the first derivative of f**2 + f - 3. Let s(d) = 6*d + 3. Let m be (424\/(-159))\/((-1)\/((-6)\/4*2)). What is m*o(r) + 3*s(r)?\nAnswer: 2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -210935, -1, 0 in increasing order.\nAnswer: -210935, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-6\/5))\/m**(3\/7))**(-2\/43) assuming m is positive.\nAnswer: m**(-124\/1505)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10427 is divided by 458?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1, 12, -3, -25 in decreasing order.\nAnswer: 12, 3, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*z**3 + 10*z**3 + 22*z**3 + (-z**2 + 2*z**2 - 2*z**2)*(1 - 1 - 2*z) + 173*z + 0*z**3 - z**3 - 1 - 170*z - 2*z**2.\nAnswer: 41*z**3 - 2*z**2 + 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4931 + 4935. Let l = -4 - -4.4. Put l, t, 2, 0.3 in decreasing order.\nAnswer: t, 2, l, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 - 3143042?\nAnswer: -3142200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the second derivative of -13*u - 5\/2*u**2 - 1\/2*u**3 + 0. Let c be -30*(2 - 3)*(-1)\/(-6). Calculate y(c).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 20, 61, 128, 227, 364, 545?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000712 rounded to 6 dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 3*w - 10, 5*w + 20 = -5. Let r = 4 - v. Let c = 1 - r. What is the smallest common multiple of 3 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -451 - -452. Is g less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 25 = -o. Let x = -461.8 - -461.7. Let u be 1*3*2\/(-3). What is the fourth smallest value in -0.4, x, u, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(91)\/(2*sqrt(21)\/sqrt(3)).\nAnswer: sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**3 - 783 - 271 + 59.\nAnswer: -2*z**3 - 995","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*l + 5*l - 4*l + (-3*l + 0*l + 4*l)*(0 - 4 + 3))*(-734810*l + 734810*l - 330*l**3).\nAnswer: 660*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -81, -163, -245, -327, -409?\nAnswer: -491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 4*v**3 - 244*v**2 - 462*v - 142. Determine p(63).\nAnswer: 2504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69\/385 - -2\/55. Which is the nearest to 2\/7? (a) f (b) -5 (c) -7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q - 4 - 5. Suppose -5*o + t = -13, q*o + 0*o - 2*t - 5 = 0. Suppose 12 = 4*n, -126 = -o*j - 8*n + 3*n. List the prime factors of j.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 4 = h + b, -h - 2 = 2*b. Suppose i + 10 = 2*f - 3*i, -6 = -2*i. Let n(y) = 24*y - 12*y + 3 - f*y. What is n(h)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 + 699. Is i a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*o**3 + 3*o**2 - 2*o**2 - 8*o**3 - 2*o**2 to k + g*o**2 + v*o**3 + a*o and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 328 + -188. Let g = q - 61. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**3*j\/((j*j**(1\/16))\/j))**(-2\/7)\/((((j*((j\/(j*(j**(-6\/5)\/j)\/j))\/j)\/j*j)\/j)\/(j\/(j*j**1\/j)))\/(j**(1\/4))**(-22)) assuming j is positive.\nAnswer: j**(-353\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/49 > 1.8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2482 is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/((-5)\/(1320\/(-9))). Let l be (-15)\/(-5) - b\/1. Suppose -5*f - i + 5*i = -l, -3*f + 2*i = -53. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d + 5. Let x be j(3). Let c(f) = -f**2 + 14*f + 14. List the prime factors of c(x).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1026 is divided by 37?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-10)*260\/(-208)*14?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tototootootooooo. Give prob of sequence ot.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pdyddddpp. What is prob of picking 3 d?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 424 divide 575792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of 1 + 0*y - 1\/2*y**2 + y**3. What is the second derivative of r(j) wrt j?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.5805 - 0.76. Let k = 2.27 + z. Let s = 0.07 + k. What is s rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = -0*m + 5, 3*m + 150 = 5*c. Let v(b) = b**3 - 28*b**2 + b - 16. What is the least common multiple of c and v(28)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -264 = -34*y - 45 + 53 for y.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*l - 188 - 935 + 42 = 0 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 3053528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/321, 2, -73793?\nAnswer: -73793","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43734?\nAnswer: 2, 3, 37, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/60 - (-1)\/5. What is the second biggest value in i, 0, 1\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) - (-4)\/10. Let l = -288 + k. Let j = 541\/2 + l. What is the common denominator of j and -31\/8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + ((-19860)\/35 - 2). Let h = 87531\/154 + l. What is the common denominator of h and -53\/34?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**3\/9 - 248*k**2\/9 + 7018*k\/9 + 7268\/9 = 0. Calculate k.\nAnswer: -1, 46, 79","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3308*d**4 + 781*d wrt d?\nAnswer: -39696*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a meter in centimeters?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9263.9 - -0.047468?\nAnswer: 9263.947468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, -772, -65, 0.\nAnswer: -772, -65, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -219\/7 in 4, -0.021, -2\/17, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l**4 - 3664435*l**3 + 47636925*l**2 - 84280565*l + 40308070 = 0. What is l?\nAnswer: 1, 11, 732874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**6\/x)\/((x*x**4\/x*x*x)\/x)*(x*x**8)\/(x**(-5)\/x))\/(x*x\/(x*x*x*x**10\/x*x*x*x*x)*x*(x*(x*(x\/(x\/(x**(-12)*x)))\/x)\/x)\/x)**(7\/5) assuming x is positive.\nAnswer: x**50","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*n**3 - 14*n**3 - 12*n**3)*(455 - 285 + 389 + 536).\nAnswer: -36135*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 284538, 569110, 853682, 1138254?\n\"Answer: 284572*q - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 88\/3168*(-8)\/4?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 12:18 AM?\nAnswer: 5:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 39930 and 5522?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(475)*-2 + 5 + sqrt(76)\/(sqrt(48)\/sqrt(48))))**2.\nAnswer: -80*sqrt(19) + 1241","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*y + 49 = -7*y + 13*r, -5*y - 5*r = -2*r - 101 for y.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - 6 - 1\/(3\/27).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*(-10)\/(-6) - -1. Which is the nearest to 2\/3? (a) 0.4 (b) -5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-11))**(-2\/49)\/((h**(-3\/8)\/h)\/h**(3\/13)))**40 assuming h is positive.\nAnswer: h**(52355\/637)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -10*q**2 - 19*q - 124. What is y(8)?\nAnswer: -916","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 + 153*z + 80. Let n be j(-25). Which is the third smallest value? (a) n (b) 3 (c) -1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635*f + 0 - 212*f - 217*f - 217*f - 1.\nAnswer: -11*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*x - 577*x - 10*x**2 + 279*x to the form f*x**2 + v + i*x and give f.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44*o + 33 - 33 + (2*o + 3*o - 6*o)*(3 - 1 + 0).\nAnswer: 42*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i + 7. Let m(f) = -7*f - 14. Let a(d) = 4*m(d) + 9*v(d). Let j be a(5). Calculate the highest common divisor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24640262*w**3 + 24641314*w**3 - 49283091*w**3.\nAnswer: -1515*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -5*b**2 - 29*b + 721. Calculate u(13).\nAnswer: -501","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-5\/2)*m*m**(-5)*m*m)\/((m**(2\/3)*m)\/((m**(1\/3)*m)\/m)))\/((m**1)**33)**45 assuming m is positive.\nAnswer: m**(-8939\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19161 or 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 62 + 28 + -36 + -6\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -26 - -44. Suppose -3*y + 9 + z = 0. Let t = -86 + 119. Calculate the remainder when t is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.8 plus 7?\nAnswer: 23.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/129 in 4, -0.01, 4643?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3\/31 + 201\/155. Suppose -23 = -5*j - h, j - 3*j = h - 11. Suppose n = j*n - 3. Which is bigger: z or n?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/(-18)*42\/35\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/((w*w\/(w**16\/w))\/w*w*w)*w**(-2\/7)\/w*w assuming w is positive.\nAnswer: w**(89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -320240 = 55*y - 314410 for y.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6789 - 6659 = -41*n. What is the highest common factor of 4387 and n?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3431 = 28*h - 5053. Let x = -283 + h. Calculate the remainder when 59 is divided by x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 562 - 5?\nAnswer: 558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12706689 to the nearest integer?\nAnswer: 233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**2 - 41*x - 99. Let b be s(23). Let w(y) = 2*y**2 - 29*y - 110. Let h be w(b). Does h = -64?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**5 + 4800*w**3 - 305*w**4 - 543897*w - 4500*w**2 + 543897*w.\nAnswer: 5*w**2*(w - 30)**2*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the first derivative of 18\/5*l**5 + 44*l + 0*l**3 + 0*l**2 + 0*l**4 - 8. Find the first derivative of w(n) wrt n.\nAnswer: 72*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 733239128?\nAnswer: 2, 91654891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (18\/(-15))\/(3\/90). Let i(g) = 251*g + 26565. Let c be i(-106). Which is greater: u or c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2673)*2)\/(sqrt(147) + sqrt(147) + -2*sqrt(147)*-3).\nAnswer: -9*sqrt(11)\/14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -5 (b) 102724 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -386*y + 217. Is o(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -53*h**2 - 2*h. Let o(w) = -3*w**2 + 10*w**2 - 8*w**2. Determine o(f(x)).\nAnswer: -2809*x**4 - 212*x**3 - 4*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119) + 1*sqrt(119)))\/sqrt(7).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 868712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.13, 0.0836, -27?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*c - 9. Let s = 18 + -5. Suppose -2*n + s = v + 3, -c = -n. Solve -v*y + 5*y = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*u + k - 9, -u + 987*k = 2*u + 986*k + 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16 + -129\/8. Which is bigger: g or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 9*t**5 + 2*t**4 + t**3 + 48*t**2 - 60*t. Let z(p) = 11*p**5 + 4*p**4 + 2*p**3 + 47*p**2 - 60*p. Let b(s) = -5*f(s) + 4*z(s). Factor b(y).\nAnswer: -y*(y - 5)*(y - 2)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/2 (b) -4 (c) -2\/35 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 18\/10 - (-5)\/25. Let m be 23 + q - (-1 + -3). Let g = m + -19. What is the remainder when 37 is divided by g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -46683559 + 46683365.99917. Let n = g + 193. Round n to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 10 = -a, -4*f + 5*a = -18 - 0. Let u be (-1)\/(-1) + (2 - f). Let m(t) = 8*t**2 + t - 1. Does 8 divide m(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 794775 is divided by 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 33?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 25 = -5*s. Let i be 6 + -3 - 3 - -3. Suppose i*o - s = 4. Solve k + 4 = o*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1341\/(-6705))\/(2\/(-1220)).\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 4:21 PM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -5 + (sqrt(3) + 2*sqrt(3))*3.\nAnswer: -2 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.1, 4\/5, 1\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3278 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2 (b) 3 (c) -5 (d) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 5*q**2 - q - 2. Let i be c(-4). Suppose g - 32 = -4*a, 4*a - 10 = 5*g - i. Calculate the remainder when 22 is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 6*x + 10)*(-2*x + 10 - 8 - 6).\nAnswer: -12*x**2 - 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1225422 (base 7) to base 5\nAnswer: 20023432","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((3 - -3) + -3)*(-32)\/(-24)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -522*d*h**2 + 2*d*h - 4*d + h**2 - 2*h + 5506 wrt d?\nAnswer: -522*h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -16274*c - 22. Let r be j(-3). Round r to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111001001 + -11?\nAnswer: -111001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 11:25 AM?\nAnswer: 8:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/535 (b) -3\/4 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from voooovovvojjccoov. Give prob of sequence ccov.\nAnswer: 1\/714","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 7:53 PM?\nAnswer: 2:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*(q**(-2)*q)\/q*q)**16 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -23.67736 to zero dps.\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*o**4 - 48*o**3 - 236*o**2 - 312*o - 128.\nAnswer: 4*(o - 16)*(o + 1)**2*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 209\/39928140 and 73\/1134.\nAnswer: 39928140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 6*s. Suppose 5*c + 2*u = 23 + 37, c - u - 5 = s. Calculate the highest common divisor of 2 and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-26 + 159\/6)*672\/(-12). Suppose 0*v - 2*v - 44 = -4*l, 0 = 3*v - 4*l + 72. Is i greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 33. What is the remainder when 41 is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1138*w + 57590. Give l(-51).\nAnswer: -448","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 165 and 15455.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 767 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11111110100 (base 2) to base 3.\nAnswer: 2210102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 31395*c**2 + 4151*c**2 - 9684*c**2 + 1 - 1 - 2*c**2 - 3*c**2 + 5*c**2 + 0*c**2 + (-3*c + 2*c - c)*(2 + 2*c - 2).\nAnswer: 25858*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -775.3 - -1991813534.\nAnswer: 1991812758.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 432 and (-10296)\/(-260)*(45\/2)\/3?\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 43*o + 98, -311*u = -308*u - 2*o + 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fs when two letters picked without replacement from {x: 1, q: 2, f: 1, h: 1, s: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -307335 + 2?\nAnswer: -307333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t - 1. Let h be i(2). Suppose 0 = d - 3 + 1, -3*f = d + h. Let v be (5 - 4) + 120 + f. Round v to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-15)\/(-10) - (-42)\/(-20). Let g = -7130.83 + 7131. Which is the second biggest value? (a) i (b) -0.5 (c) -1\/4 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 6*f**2 + f - 1. Let x be a(5). Let o be ((-30)\/12)\/((-12)\/696). What is the greatest common divisor of o and x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 37 + 6038 = l, -5*l + 9137 = 3*s. Calculate the greatest common divisor of s and 814.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44902672*s**2*u**3 - 19*s*u**2 - s - 5940*u**3 - 3*u wrt s.\nAnswer: 89805344*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4166 - 4166.1. Let w = -0.1 + 0.5. Which is the nearest to z? (a) 3\/7 (b) w (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (0 - 0) + 3 + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 204782?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 126*b + 238*b + 101*b - 27900. Solve -18 = 3*z - x, -b*z - 35 = -56*z - 5*x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g**3 - 2*g**2 + 1. Let v be o(1). Let s(i) = i**3 + 12*i**2 - 15*i - 15. What is the tens digit of s(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5\/7 - 3\/14. Let p be (1209\/41106)\/((-36)\/(-34) + -1). Find a such that -a**2 + 0*a + t + 0*a**3 + p*a**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (-3 + (7 - 7) + 8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 139340, 139355, 139394, 139469, 139592?\nAnswer: 139775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**1)**(1\/42)*a**(-1\/2)*a**0*a*(a**1)**3*(a**(2\/5)*a)**(-46) assuming a is positive.\nAnswer: a**(-6392\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 8:32 PM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579236 a multiple of 143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -4.42?\nAnswer: -1.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3168?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -193415 divided by 193415?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (16 - 22) - (-2 - 1)) + 4\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {i: 14, u: 4}?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.172*-0.061746.\nAnswer: 0.010620312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than 5941\/41761?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.25 + 0.75. What is the second biggest value in 2, c, -2\/5, 1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 2)*(-2*z - 2*z + z) + 201*z - 2 - 124*z + 0.\nAnswer: 83*z - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((-7)\/4 + 16\/(-64)). Let i(v) = v**2 - 3*v - 3. Let o be i(4). Let b(n) = -n**2 + 3*n**2 + n**3 - n - n**2 - o. Calculate b(s).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - 4) + -9 + 0 + 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a day in minutes?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19231 + -2409. What are the prime factors of s?\nAnswer: 2, 13, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75983182.23 + 5?\nAnswer: -75983177.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -133 + 248. Calculate the least common multiple of 25 and l.\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**3 - 21*o**2 + 20*o + 28. Calculate x(-22).\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*t**2 - 3*t**2 + 56*t**6 + 75*t**2 + 28*t**6 wrt t?\nAnswer: 10080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-8) - 1014\/24. Let w = s - -100. Does 16 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 347 or 467201?\nAnswer: 347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 3. Let v(f) = -13*f - 7. Let q be (-24)\/(1 + -4) - 4. Give q*v(j) + 9*x(j).\nAnswer: 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25944343\/14 + -1854214. Let r = -1053 - m. Let k = 36543\/16 + -2279. What is the common denominator of k and r?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 38.5 and 4.138.\nAnswer: 159.313","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 194*s**3*z**2 + 3*s**3*z - s**3 + 7454*s**2*z**2 + s**2 wrt s?\nAnswer: 1164*z**2 + 18*z - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/9, 3, 12.249, -0.4, -3\/8, -1.05?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**2 - 434*y - 9219. Give u(-24).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 200 + -201. Is c\/(-3 - 5095\/(-1700)) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -149, 0 in increasing order.\nAnswer: -149, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -h - 24. Let b = -15 - h. Let g(c) = c**3 + 6*c**2 - 6*c + 8. Let l be g(b). Let j(o) = -2*o**3 - o. Let a(f) = -f + 1. What is l*a(u) - j(u)?\nAnswer: 2*u**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 9) to base 12\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - 3) + (33 - (-10 - -25)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81021 is divided by 15138.\nAnswer: 5331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -7297622.643 to the nearest one hundred thousand.\nAnswer: -7300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 17*p = -96. Let d be (224\/6)\/p*-3. Solve 2 + 3 = 3*r + 2*w, d = 2*r - 4*w for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in four thirds of a week?\nAnswer: 13440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/120*(120\/455)\/((-6)\/(-21))\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/76356 and 37\/14310.\nAnswer: 20234340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8148620 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 1:58 AM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1041 - -1041.1. Which is the biggest value? (a) 7\/3 (b) 5 (c) n (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (24\/(-80))\/((-45)\/(-25)). What is the nearest to -1\/3 in -5, 4, y, 0.26?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -2*p + 14, 10 = -p + 5*p - 2*f. Differentiate n**p - 20 - 6*n**4 - 2*n**4 - n**4 wrt n.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 7*g**3 - 2*g + 2. Let u(j) = -21*j**3 + 7*j - 7. Suppose 19*d = 2126 - 815. Suppose -7*p - 55 = -d. Give p*u(l) + 7*z(l).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00429545818 to 4 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*u + 6*u. Let z be (u + 0\/2)\/(-1). Let n be (-23)\/z - (-12)\/30. Solve -27 = n*j - 0*j - 2*b, -17 = 3*j - 2*b for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 57*y - 11290 = -38770. Calculate the greatest common factor of y and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 280136282 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**5\/4 + 2038*i**4 - 3853283*i**3 - 1245414832*i**2 + 2506226496*i = 0.\nAnswer: -282, 0, 2, 4216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6256*q - 9016*q + 5518*q - 8881*q - 1.\nAnswer: -18635*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28\/70*-5*1\/17.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 153 = -3*l, 5*l = -3*w + l + 120. What is the greatest common divisor of w and 144?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9688, 19375, 29064, 38755, 48448, 58143?\nAnswer: 67840","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 >= 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 8*g**2 + 7*g + 8. Let p be d(7). Let z = p - 224. Let t = 175 + z. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1683.1 and 4.\nAnswer: -1679.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose r*t - 5*i + i = 24, 5*t + 5*i - 5 = 0. Suppose -c = t*c - 245. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzttztu. Give prob of picking 2 t.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9236 times 0.0542?\nAnswer: -0.05005912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 21\/5 of a centimeter?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -160*9\/(-12)*1. Suppose r = o + 4*o. Let h = -17 + o. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -8*m - 9. Let s(c) = -c - 1. Determine -r(w) + 6*s(w).\nAnswer: 2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*k + k + 55 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-50)\/(-3))\/(1\/3). Suppose -36 = -3*t - 5*j + 44, -2*t - 4*j = -u. Let l = t - 20. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -433*b**3 + 15*b**2 + 4*b. Let q(c) = -4*c**2 - c. Give k(h) + 4*q(h).\nAnswer: -433*h**3 - h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 59529*k**3 + 2*k - 17739.\nAnswer: 178587*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -22829*a**3 + 36218*a wrt a.\nAnswer: -136974*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3077028.\nAnswer: 2, 3, 9497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -2*s**2 + 3. Let l(u) = u**2. What is o(l(t))?\nAnswer: -2*t**4 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 19*q + 18*q - 1992 = 0, -z = -3*q - 1996. Is 5 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -2*s - 1. Let m be a(-7). Suppose 2*g = m - 5. Suppose -5*p = f - 120, 5*f + 36 = g*p - 60. Calculate the remainder when 67 is divided by p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 14 = 11. Suppose -11*a + 1980 = 2002. Put x, 5, a in increasing order.\nAnswer: x, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -908169 - -1537508. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i - 12. Calculate z(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the third derivative of l**6\/24 - l**5\/20 - 11*l**4\/24 - 5*l**3\/6 + 4*l**2. Let g be k(9). Let a = 4695 - g. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 74 = 54. Suppose 5*w - 3*u - a = 0, -71 + 13 = -4*w - u. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -139 in descending order.\nAnswer: 4, -1, -139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s**5 - 44*s**4 - 52*s**3 + 204*s**2 + 216*s = 0.\nAnswer: -9, -3, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3293775767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -j**6 - 36763*j**5 - 71174*j**2 + 2*j wrt j?\nAnswer: -120*j**3 - 2205780*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 44*w - 2. Let r be c(1). Let o = r - 35. Suppose -o*k + 10057 = 2448. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*v**3 - 34*v**3 + 26*v**3 - 3*v**4 - v**2 to the form d*v**3 + u + f*v**4 + b*v**2 + m*v and give f.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2 less than -8.273916?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25\/3 in -3\/8, 3\/8, 2?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**2 + 4*s - 14. Let b be z(-5). Let d be (0 - b\/3) + (-996)\/330. Is 0 at least d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + 3*y. Suppose y = -10*q + 8*q + 4. Suppose q*b + 5*m + 19 + 0 = 0, -4 = 2*b + 2*m. Solve 0 = -0*c + 4*c - 5*s - 21, -b = 3*s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 4, q: 2, k: 2, z: 3}. Give prob of picking 2 q and 2 k.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 3*b**3 - 5*b**2 + 4*b + 4. Let s(o) = -2*o**2 + 0*o**2 + 3*o**2 - 1 + 0 - o - o**3. Let u(i) = f(i) + 4*s(i). Factor u(r).\nAnswer: -r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -t**6 - 20*t**4*z**3 - 38*t**2 - 2*t*z**3 + t wrt t?\nAnswer: -120*t**3 - 480*t*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1000 + -101010110?\nAnswer: -101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 18*g**2*q + 223*g**2*u**2 + 5*g*q*u**2 - 35*g*q*u + 10*u**2 wrt g?\nAnswer: 36*q + 446*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -19 - -47. Suppose 0 = 2*g - 0*g - y. What is the remainder when 27 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -3*o**2 - 360*o + 1. Let d(t) = -4*t. Give d(v(r)).\nAnswer: 12*r**2 + 1440*r - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(-147))\/(-1))\/(150\/(-525))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 9, s: 2}. What is prob of sequence sxx?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*b + 54*b + 12 = 3*j, -j = 4*b + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2*q + 3 - 3) - 2 + q - 2*q + 2*q - 3*q + 3*q + 2*q.\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 928?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -134?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(931)*-1 - ((-2 + sqrt(1216) + sqrt(1216) - sqrt(1216))*3 - sqrt(1216))**2.\nAnswer: -4900 + 150*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve g - 90 = 23*g - 2*t, -10*g - 19*g - 18 = -24*g + 2*t for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-6)\/(-135)*3 - (-2128)\/240. Suppose -1161 = -r*q + 702. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(176))*-4 + sqrt(22)\/sqrt(2) + 0.\nAnswer: -19*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.1, -0.3, 6, -13\/3, 1\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h - 47. Let i be j(-17). Let p(b) = -b**3 + 4*b**2 + b - 10. Let l be p(i). Let o = -1.9 + 2. What is the nearest to 2 in l, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in minutes?\nAnswer: 3780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 7 = 17. Solve -5*c = 4*k + 6, -k + 3*k + 5*c + j = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the second derivative of 203*x**6\/3 - 937*x**3\/6 - 47*x - 6. What is the second derivative of u(a) wrt a?\nAnswer: 24360*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 982, 979, 976, 973, 970, 967?\nAnswer: 964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 753242537 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*n + 37 + 23 = 0 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.7 - 3.2. Let y = -3 - g. Let z = y - -0.8. Sort 0.2, -0.1, z in decreasing order.\nAnswer: z, 0.2, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**2 + 8100*u - 5467500.\nAnswer: -3*(u - 1350)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -467*u - 470. Let p be y(-1). Let j(z) = z**2 + 3*z - 1. Let x be j(-4). Which is the nearest to x? (a) 0 (b) 1 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*q**4 - 29*q**3 - q**2 - 5*q**3 + 35*q**3 + q**2 + 2*q as r*q**2 + g*q + t*q**4 + i*q**3 + v and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -44891205.3 to the nearest 1000.\nAnswer: -44891000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 3*b - 8. Let g be (4 + 0)\/(5\/20). List the prime factors of c(g).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 AM and 10:43 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.12 - 0. Let h = 128 - 133. Which is the second smallest value? (a) g (b) -4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -124620381*g**3 + 3*g**2 - 2*g - 4098737 wrt g?\nAnswer: -747722286","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -216 + 414. What is the greatest common divisor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3152541 by 69.\nAnswer: -45689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 39401878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -118, -240, -362, -484, -606, -728?\nAnswer: -850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -4 + -2 + ((sqrt(11) + -1)*2 - (sqrt(11)*1 + -4)))**2.\nAnswer: -10*sqrt(11) + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 + 7*x**2 - 8*x**2)*(-6598 - 2943 - 98 - 1421 - 315) in the form g*x + z*x**2 + n and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*z**2 - 8289*z**3 - 131*z**2 - 7997*z**3 + 66*z**2 + 16285*z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**5\/9 - 2782*b**4\/9 - 13844*b**3\/9 + 7424*b**2\/3 + 14784*b = 0.\nAnswer: -1386, -4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + p + 3 = -0*k, -13 = k - 5*p. Suppose -3*n + 13 = -2, 3*i + 2*n - 13 = 0. Calculate the remainder when k is divided by i.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h. Let g(f) = -f**3 - 5*f**2 + 6*f + 2. Let d be g(-6). Let q(r) = -4*r - d*r - 7*r - 2*r. Calculate b(q(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-24*6)\/(4 + 5106\/(-1275)). Suppose 9*k + o = 3*k. Round k to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/6, -4, 12.6, 4?\nAnswer: 12.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -4*g. Let p(t) = -t. Let o(d) = 2*d. Let a(x) = -2*o(x) - 7*p(x). Let r(y) = 5*a(y) + 4*s(y). Let u(l) = -2 + 6*l**2 + 2. Calculate r(u(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9546 a multiple of 258?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -9. Let s = 1 + u. Let r = s + -7. Which is the nearest to 0? (a) r (b) 0 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 35.897327404852 and 2?\nAnswer: 33.897327404852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 11*o**5 + 0 + (0*o + 2*o**2 + 0*o)*(-608 + 25*o**3 + 608).\nAnswer: 39*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4 + 108*f**3 + 1314*f**2 + 5772*f + 4563.\nAnswer: 3*(f + 1)*(f + 9)*(f + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence itk when three letters picked without replacement from {i: 2, k: 1, u: 3, t: 2, n: 12}?\nAnswer: 1\/1710","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((3\/(0 + -1))\/(-1)). Let r be (-16)\/(-4)*(-2)\/(-8). Let j(o) = 8*o - r + 0*o**2 - 3*o**2 - 9*o. Calculate j(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.017405 milliseconds in minutes?\nAnswer: 0.00006695675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, y: 12, x: 3}. What is prob of sequence yyy?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -27*u + 241. Calculate j(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6192\/15 + -2 - (-7)\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11015 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23287 - 16106. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 234 - 66 = 0. Is v a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/4 of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0048280569 rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 2*f + 63. Let o be c(0). Suppose -3*l + 4*s = 41, -4*l - 3*s - o = -0*s. Let q = 7 - l. What are the prime factors of q?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7143 and -9.1794.\nAnswer: 7133.8206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 7 = -17*j + 18*j, -5*j = -4*w + 8. What is the nearest to -0.07 in 1, -1, 3, j?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-57) - (-192)\/(-380)\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18972749 a multiple of 281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 765265813 and 767.\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37683 - -37692. What is the remainder when 132 is divided by q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 33 and 1749?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 22016379 to the power of 1\/3, to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -2 - -4)\/(10 + -2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wrrrrrrrrrwwrrwrwrr. What is prob of picking 3 w?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 117572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -108 + 336 - 147 - 5.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (21\/(-6) + 4)\/((-1)\/(-10)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -d + 1. Let q(s) = -1. Let o(l) = -3*l - 2. Let p(i) = -o(i) + 6*q(i). Suppose -m = -5, 2*b - 13 - 8 = -3*m. Determine b*p(j) + 12*t(j).\nAnswer: -3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 1\/3 (b) -0.4 (c) -7\/64 (d) 17 (e) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = 4, -2*y + 342*l - 341*l = -9 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7062282 >= 7062282?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6bc355 - -4?\nAnswer: -6bc351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5137153*f + 2457925.\nAnswer: -5137153","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*k = r + 31, 0 = -52*r + 5*k - 0*k - 176 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2 - -9. Which is the biggest value? (a) v (b) -2\/5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmqrmdqmndqenqe. What is prob of picking 2 n and 2 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15 is divided by 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -8. Let z(d) = -d**3 - 13 + 2*d - 5 + 4*d**2 + 15. Determine z(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.9 - -2.8. Let u = y + 1. What is the nearest to -1 in u, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4 - 5)*(-5*x**2 + 2*x - 2*x)*(-1772*x**3 - 1549*x**3 - 1811*x**3).\nAnswer: 25660*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 11.2 and -0.311.\nAnswer: -3.4832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 + 7*l**2 + 6*l - 6. Let o be b(-6). Is (-58)\/(-4) - 3\/o a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1901177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -32\/5551 and -33\/520.\nAnswer: 222040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of 3*g + 0*g**7 + 0*g**3 + 0*g**6 + 0 - 1\/28*g**8 + 0*g**5 + 0*g**2 + 1\/6*g**4. Find the third derivative of d(n) wrt n.\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 484824009?\nAnswer: 3, 161608003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0 - (1 + (-4)\/4). Let i(r) = r**2 + r + 189. Let g be i(v). Let u = g - 93. Is u a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (83*z**2 - 396*z + 396*z)*(-2*z + 2 - 2) + (z - 2*z + 2*z)*(-6*z + 6*z + 10*z**2) in the form p*z**3 + k*z**2 + n + b*z and give p.\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.367 + -0.033. Which is the third biggest value? (a) i (b) -0.34 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(14\/4 - 2). Let m = o - 2. Let a be m\/12 + (-526)\/(-6). Calculate the greatest common divisor of a and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2079652*h**4 + 2*h**3 + 19*h**2 + 303*h - 82?\nAnswer: 49911648*h + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j = -3*j. Suppose j*a = 2*a. What are the prime factors of (a - 1)\/((-1)\/16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1090*x = -880*x - 871*x + 93753 for x.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5162.91 millennia to years.\nAnswer: 5162910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 120848653 to the power of 1\/2, to the nearest integer?\nAnswer: 10993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9.58 - -0.42. Let x = z - 12. What is the third smallest value in -1, x, 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - g - 13, -3*y + 5 + 7 = g. Suppose -4*i = -5*n + 245, 0 = -n + 2*n + y*i - 20. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -1344*c - 6698. What is u(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 5, q: 2, b: 2, h: 1, r: 4}. What is prob of sequence hrb?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1329.84 + -133.930084?\nAnswer: -1463.770084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1476\/7 at least 210?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.048366174 and 0.\nAnswer: -0.048366174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -q + 15, -84 = -4*q + j + 66. Solve -q*b = -23*b + 96 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 17*b - 204. Solve 2 - 6 = -x, -2*j = 4*x - b for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150549422 divided by 75274711?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15\/(136\/12 + -11) and 55.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -112583.17 to the nearest 100.\nAnswer: -112600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 61 + -39. Let o = -6912 + 6916. Calculate the smallest common multiple of o and l.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -5, 0.5, 40?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/18 and -81\/82676?\nAnswer: 744084","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 223 a factor of 1510212695?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -492.2 plus -7?\nAnswer: -499.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 4*h - 2. Let d be s(0). Does 26 divide (-17*18\/(-459))\/(d\/(-3609))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 9. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15990 + 15891 = 3*c for c.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 18*t - 2. Let m(g) = 16*g - 2. Let k(z) = 5*d(z) - 6*m(z). Let j(u) = 5*u - 1. What is -3*j(p) - 2*k(p)?\nAnswer: -3*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 627798?\nAnswer: 2, 3, 19, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/554064 and 43\/237456.\nAnswer: 1662192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-15)\/(-3))\/5*(-14)\/(-14))\/((-98)\/154)\nAnswer: -11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*h + 10 = 2*b + 49*h, 3*b = 2*h + 15. Which is smaller: 19 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -606338 - 460?\nAnswer: -606798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m*m**(1\/8)))**(-12)*(m**(4\/5)\/m)\/m**(30\/13))**4 assuming m is positive.\nAnswer: m**(-262\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-394*n**2 - 141*n**2 - 331*n**2)*(-2*n**2 + n**2 + 3*n**2)*(-2*n + 3 - 3).\nAnswer: 3464*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**3 - 9*k**2 + 2*k + 3. Let g be 4\/(-6) + 98\/(-105)*-5. Let j be r(g). What is the closest to 13\/5 in -1, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 118*p - 368*p + 127*p + 101*p.\nAnswer: -22*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(84) - (((sqrt(84) - -3*(sqrt(84)*3 + sqrt(84))) + sqrt(84) - sqrt(84)) + sqrt(84))) + sqrt(84))\/(sqrt(21)\/sqrt(175)).\nAnswer: -720*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4580933ng in kilograms?\nAnswer: 0.0000000000004580933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 n when two letters picked without replacement from {m: 2, j: 2, e: 1, n: 8}?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 21*k - 13*k - 39*k. Let w(u) = -4*u. Determine n(w(z)).\nAnswer: 124*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*g + 7, 4*m - 158*g = -159*g - 13 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -5465 <= -5476?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, -3, -53, 0.22 in increasing order.\nAnswer: -53, -3, -1\/10, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 367265 equal to 366842?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and 101025147.\nAnswer: -101025147","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-19)\/s)\/(s\/s**(-3\/10)) assuming s is positive.\nAnswer: s**(-213\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 10:14 PM?\nAnswer: 1:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-320760)\/(-1122) + -1 + 38\/34. Calculate the greatest common factor of 26 and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -83, 0, -17, -1, 4, -1\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001534497689 to 7 dps.\nAnswer: -0.0001534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10002120 + -1120?\nAnswer: -10011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8213501 - -40?\nAnswer: -8213451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, z: 2, h: 5}. Give prob of picking 2 b, 1 h, and 1 z.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 9035506 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-85 + 85 - 5*a + (1 - 2*a - 1)*(-5 - 8 + 1) + 3*a + 3*a - 4*a + a + 1 - 1)*(-6 + 3 + 5)*(4 - 5 + 0)*(3 + a - 3).\nAnswer: -44*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 13*v**3 - 1 + 9*v**2 - 5 - 1 + 5*v. Let y(u) = -6*u**3 - 4*u**2 - 2*u + 3. Let l be -16 + 12 + -10 - -10. Determine l*c(k) - 9*y(k).\nAnswer: 2*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 2*x + 3*x, -4*x = -5*p + 44. Let m be (102\/12 + -5)*(1 - -21). Suppose 123 = 5*w - m. Calculate the highest common divisor of w and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 5 = 2*w, -5*w + 20 = 3*x - 9. Find the second derivative of -4*r**5 + x*r**5 + 8*r - 2*r - 2*r wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3034*y**2 + 14*y + 6. Let c(r) = -4046*r**2 + 19*r + 8. Determine 11*c(x) - 15*z(x).\nAnswer: 1004*x**2 - x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 12\/11 (b) -0.13 (c) 0.1 (d) -3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the first derivative of -w**5\/5 - w**4\/9 - 2*w + 1. Let r(l) be the first derivative of n(l). Factor r(k).\nAnswer: -4*k**2*(3*k + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -26.3117249 to 3 decimal places.\nAnswer: -26.312","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**4 + 17*g**3 + 7*g**2 - 17*g - 12. Let y(k) = -2*k**4 - 52*k**3 - 20*k**2 + 52*k + 36. Let x(r) = 7*f(r) + 2*y(r). Find s such that x(s) = 0.\nAnswer: -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*v + 2*v = 10, 9 = 3*v. Suppose 4*k + 2*w + 14 + 2 = 0, -5*k - 5*w = 15. Put 1, s, k, 0 in ascending order.\nAnswer: k, s, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*k**4 - 3899*k**3 - 2*k**2 + 118549*k?\nAnswer: 96*k**2 - 23394*k - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(11) - 3*sqrt(77)\/sqrt(7) - sqrt(11))*-4)**2*5 - (((4*sqrt(704) + sqrt(704) + sqrt(704))*-4 + sqrt(704) + sqrt(704))*-2)**2) + -5.\nAnswer: -1355029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861?\nAnswer: 3, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, c: 1, o: 2}. What is prob of sequence ch?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 17500\/182 - (-2)\/(-13). Suppose -16 = 8*t - j. Solve 0 = -y - y - t for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5121 to the power of 1\/2, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2922071 < 2922075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6928 and 48.\nAnswer: 20784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1741, -2251, -3101, -4291, -5821?\nAnswer: -7691","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 588 = -c, 0 = 2*c + 54*d - 57*d + 1132. Let t = c - -612. Calculate the least common multiple of 50 and t.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 5463?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence drr when three letters picked without replacement from wwpprwpwdr?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12101 (base 8) in base 10?\nAnswer: 5185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 2*w + 4*w. Let g(h) = -6*h + 7. Let i(x) = 17*x - 20. Let j(q) = -8*g(q) - 3*i(q). Let l(d) = 1. Let y(v) = -3*j(v) + 12*l(v). Give c(y(m)).\nAnswer: 27*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than -229.9?\nAnswer: -231.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17170*d = 16300*d + 1740. Suppose 4*l = z + 4, -4*z - 3*l = -3*z - 3. Solve -8\/5*i**4 - 2\/5*i**5 + 0*i - 6\/5*i**3 + z*i**d + 0 = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:31 PM and 7:01 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -325184311 at least as big as -325184311?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44507\/7194 + -24\/1199. Let g = -1080 + 19489\/18. What is the common denominator of z and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -21018, 3, -3 in decreasing order.\nAnswer: 4, 3, -3, -21018","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**3 - 660*q**2 + 22095*q - 21440.\nAnswer: 5*(q - 67)*(q - 64)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1462*l + 41*l**2 + 736*l + 726*l.\nAnswer: 41*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 86418535 to the nearest integer?\nAnswer: 442","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 3 - (-21 - (25 - 44) - -2).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1387, 1240, 949, 442, -353, -1508, -3095, -5186?\nAnswer: -7853","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(15)\/((sqrt(240) + sqrt(15))\/sqrt(3)) + -5 - (sqrt(3)*-3*6 - -6*(sqrt(3) + 2)))*4 + -1)**2.\nAnswer: -33672*sqrt(3)\/5 + 297633\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 4}. What is prob of picking 2 r?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v + 2. Let s(q) = -q**3 + 2*q**2 + 5*q - 4. Let t be s(3). Suppose -2 = -2*p - t*f, 4*p - 9 = -2*f + 5. Determine i(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 485 + -482.2. Which is smaller: -43 or c?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -538 - -320. Find the common denominator of i\/15*(-15)\/24 and 2 + 74\/8 + 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40939342?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 2:15 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 79.91545 millilitres in litres?\nAnswer: 0.07991545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 95 divided by 2326667\nAnswer: 95\/2326667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 4 + 6 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/1 + 2\/2. Let d = -35 + 67. Calculate the greatest common factor of d and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6998 is divided by 1696.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/57))\/(l\/(l*l*l**34\/l*l)))\/(l**(4\/17)\/l*l)**(-11) assuming l is positive.\nAnswer: l**(37358\/969)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 - 8. Let j be (-6)\/(-14) - 342\/(-133). Suppose 0*u + 12 = j*u. Solve -3*x - u*k = -o, -5*x = k - 4 + 19 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 2*j + 3*j + 211, -b + 4*j = -82. Let y = b + -29. What are the prime factors of y?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**15\/v)\/v*(v**(-8)*v)\/v)**(2\/87)*v**(-5)*v\/v**2*v*((v\/(v*v*v**(2\/13)))\/v)\/(v*v**(7\/5)) assuming v is positive.\nAnswer: v**(-53377\/5655)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1554\/(-126) + -16 + (-2 - 20\/12).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1024*c**2 - 2688*c + 1764 = 0. Calculate c.\nAnswer: 21\/16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - 1. Let z be -2 - -2 - u\/2. Solve -3*x - x = -3*i - 5, z = 5*i - 2*x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*s. Let d be (3\/((-9)\/156))\/(-1). Suppose 5*i + 3*r = 65, 4*i + s*r - d = 3*r. What are the prime factors of i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 - 1) + (-35 - (19 + -23)) + -12 - -3?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 14358, 3152 in descending order.\nAnswer: 14358, 3152, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-4))**0)**0)**(-1\/3) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 207 - 67 = 7*i. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79760643 rounded to 4 decimal places?\nAnswer: 0.7976","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*1.043302.\nAnswer: 47.991892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/1 - 4\/4. Suppose t = -s - 2 + 4. Suppose -n - s*n = -6. Sort n, -1, -3 in descending order.\nAnswer: n, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -128 + 126. Find the common denominator of -31\/5 and 332\/280 + r\/4.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at least as big as 644\/255883?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.157 - 37.157. What is the third biggest value in 3, -1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(210\/18)*(-524)\/(-5502)\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1989 - 2760*s**2 + 800 - 2*s - 3627 wrt s?\nAnswer: -5520","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44 + (-2 + -3 - (135 - 126)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is fd + 198c?\nAnswer: 1a89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 143.3 + -130. What is w rounded to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11669832 divided by 50301.\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 9*v + 1. Let s(x) = -4*x**2 - 10*x - 2. Let y(h) = -5*i(h) - 4*s(h). Let w(l) be the first derivative of y(l). Is w(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 6*c - c - 7*c)*(0 - 4 + 2).\nAnswer: 4*c + 34","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -208*w**5 + w**2 + 95*w - 793*w**5 + w**2 + 181*w**5 wrt w?\nAnswer: -49200*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1887, -3855, -5827, -7803, -9783, -11767?\n\"Answer: -2*g**2 - 1962*g + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/18 + ((-17216)\/6168)\/2*254\/(-2032)\nAnswer: 2\/257","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1318\/21 - -188\/3. Let o = 19\/2 - 9. Which is the third biggest value? (a) r (b) o (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 PM and 2:44 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i - i - 1808004*i**2 + 1804995*i**2.\nAnswer: -3009*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 109*c - 1 - 267*c + 134*c + c + c - c + (-1 + 2*c + 1)*(1 + 3 - 6) + 2*c - 4*c + 3*c in the form u + n*c and give n.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4\/17, -2, -0.14, -5, 0.053, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a century in decades?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/1452939 and 69\/5270.\nAnswer: 14529390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 1144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + 15\/9)*(1185 + 3). Suppose 4*r = -7*r + j. Calculate the highest common divisor of r and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 5}. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4*o - 513, o + 0*o - 5*n = 144. List the prime factors of o.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6650243 kilograms in milligrams?\nAnswer: 665024.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -12*a + 13. Let x be s(-11). Let r = -85 + x. Let w = r + -60. Solve 4*p - 3*m + w*m - 15 = 0, 2*p = 2*m + 10 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 33.5 (b) -3\/5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -9154.\nAnswer: 7\/4577","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2. Let n(r) = 43565*r - 1. Give n(l(d)).\nAnswer: -43565*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/(-21) + (-4529469)\/(-441).\nAnswer: 10271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12\/131 or -1?\nAnswer: 12\/131","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 + 4*y**4 - 3 + (-2*y + 3*y + y)*(-y**3 - y**3 + 3*y**3) + 2*y**4 + 3*y**4 - 3*y**4 - y - 2*y**4 + y.\nAnswer: 6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - -3 - -3) + 1. Solve -s*x = -0*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 131873344 bigger than 131873343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-63)\/(-98))\/(-1 + (-69)\/(-63)) + -7. Let g(d) = -40*d + 2. Let l be g(-4). Which is greater: l or c?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 5*c = 135, -109 = -3*o + 5*c - 20. What is the remainder when 79 is divided by o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15498?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*h**2 - 26*h**2 + 513*h - 30999*h + 21*h**2 to the form x + f*h**2 + m*h and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*m = 2126 - 361 + 439 for m.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18443.\nAnswer: 18443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -882.10959 from 0.5.\nAnswer: 882.60959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.54671659 to one dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of z**9\/28 - 23*z**5\/30 + 67*z**2\/2 - 27. Let j(n) be the second derivative of p(n). Find the third derivative of j(g) wrt g.\nAnswer: 2160*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 29.097696305 and -0.0144.\nAnswer: 29.083296305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + 8*h**2 - 6*h - 2. Let b be u(7). Suppose -b*j + 3*j = 3*f - 402, -5*f - 5*j = -670. Suppose -51 = a - f. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.3 + 2.3. Let r = 42 - 79. Do r and f have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/(-27) + (-258)\/(-54). Suppose -o*g + 96 = 3*g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hxx when three letters picked without replacement from upuxxchd.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-13)\/26 - (-99)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 4*(-5 + sqrt(3)*2)*6 + (-3*1*sqrt(3) - (2 + sqrt(75) + sqrt(3))) + 4)**2.\nAnswer: -9516*sqrt(3) + 19447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g\/g**8)*g)\/g)\/g)\/g*g**(2\/13)*(g**(-1\/2)\/g)**(12\/5)*g**(-2\/17)*g**(1\/3)*g**4*g**(-7\/2) assuming g is positive.\nAnswer: g**(21677\/6630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**6\/120 + 7*r**5\/60 + 7*r**4\/24 + 4*r**3\/3 - 6*r**2. Calculate z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.004812 + -0.07204. Let b = y - -0.067. Round b to five decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 5*n - 10 + 25, -2*n = 4*h - 18 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 21*q**2 + q + 19. What is d(-21)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 2:47 PM?\nAnswer: 7:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13024 + -13023.9. Which is the third biggest value? (a) -9 (b) 12 (c) -5 (d) o (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.524274 litres in millilitres?\nAnswer: 4524.274","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 859569 to the nearest integer?\nAnswer: 927","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -23*a + 46. Calculate s(9).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does -61\/6 = -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -5*o**2 + o. What is a(1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-504)\/7*(-31)\/(-15). Let y = n - -150. Factor -22\/5*i**4 + 2\/5 - 2\/5*i - 12\/5*i**2 + 28\/5*i**3 + y*i**5.\nAnswer: 2*(i - 1)**4*(3*i + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 4*w**3 + 30*w**2 + w + 8. Let r be c(-7). Find the third derivative of 72*h**4 - 70*h**4 + r*h**2 - 13*h**3 + h**3 wrt h.\nAnswer: 48*h - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2a4226 (base 11) in base 12?\nAnswer: -1aa44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.916787 litres?\nAnswer: 916.787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 565*c - c**2 + 5 - 6*c**2 + 0*c**2 - 5*c**2.\nAnswer: -12*c**2 + 565*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21580 + -11243. What is c rounded to the nearest 100?\nAnswer: 10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30518 or -30657?\nAnswer: -30657","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21467714 is divided by 536690?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 - 15*u**2 + 11*u + 20. Let d be c(10). Let w = d + 2586\/7. Which is greater: w or -10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that -t**4\/2 + t**3\/2 + 18*t**2 - 18*t = 0.\nAnswer: -6, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-162)\/(-4)*(-24928)\/7790*(-5)\/(-12)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = -21*m - 8 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7939 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = -y + 5*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 4929?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2213 - -2?\nAnswer: 2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**3 + 4392*d**2 + 1280772*d + 40602384 = 0.\nAnswer: -531, -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 156288647 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -521500.84 to the nearest one thousand.\nAnswer: -522000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*3*3\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 plus -267941895?\nAnswer: -267941898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(153)*-2)**2 - sqrt(153) - (1 + sqrt(2448)*2).\nAnswer: -27*sqrt(17) + 614","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -5*r - 7. Let x(h) = h**3 - h**2 + 3*h - 3. Let k be x(2). Let o(z) = 1. Let j(q) = 4*q + 1. Let a(m) = j(m) + 5*o(m). Calculate k*a(t) + 6*w(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 16123*727\nAnswer: 11721421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2892.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of p**3\/3 + 19*p**2\/2 - 20*p + 34. Is 4 a factor of f(-23)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -32*m**2 - 17*m - 10. Let o(z) = 3*z - 2*z**2 + 3 + 3*z + 13*z**2. Let k(u) = 17*o(u) + 6*v(u). Differentiate k(d) with respect to d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppv when three letters picked without replacement from {k: 5, q: 1, w: 2, p: 2, b: 2, v: 2}?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 835 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57775051 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3.0608 + 0.0608. Let q = 5.32 - 4.32. Which is the fourth smallest value? (a) q (b) 2 (c) w (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 divided by -152199\nAnswer: -34\/152199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*j**6 + 9*j**5 - 7*j**2 - 9*j**5 wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13 and 611?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24 - 1?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y - 4 + 4)*(2*y**2 - 4*y + 4*y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 9:34 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lk when two letters picked without replacement from lakjjl.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16695, 33397, 50099, 66801?\nAnswer: 83503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((19 + 11 + 1)*(-j - 2*j + 2*j) + (5*j - 5*j - 2*j)*(-4 + 5 + 0) + 2 - 2 - j)*(-2 - 2 + 2)*(2 + 1 - 2).\nAnswer: 68*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1f6f - -f?\nAnswer: -1f60","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 11000 (base 3) in base 16?\nAnswer: 6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xc when two letters picked without replacement from {x: 1, z: 4, g: 4, c: 1, i: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 143\/1951044 and -115\/6?\nAnswer: 1951044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of i**6\/360 + i**5\/40 - i**4\/8 - 3*i**2. Let a(z) be the second derivative of d(z). Let h(k) = 4*k + 7. Give 7*a(s) - 3*h(s).\nAnswer: 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-6 + 11) - -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-29)\/((-29)\/140))\/((-4)\/(-2)). Which is the second biggest value? (a) -4 (b) -0.3 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.4 (b) -5 (c) 227 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -5554.09305 - 0.1?\nAnswer: -5554.19305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136)*3 + sqrt(136))*1)\/sqrt(8)*-5 - (sqrt(51)\/(sqrt(3) + sqrt(12)\/sqrt(4)) - (-1 + sqrt(272))**2).\nAnswer: -57*sqrt(17)\/2 + 273","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and -306767?\nAnswer: 11963913","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10838254.\nAnswer: 2, 7, 774161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45911303\/550 - -83475. What is the common denominator of n and 5\/77?\nAnswer: 3850","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 1, z: 1, t: 7}. What is prob of picking 3 t and 1 p?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**2\/7 - 23*i\/7 - 248\/7.\nAnswer: (i - 31)*(i + 8)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-10 - 4 - -16) - (11 + -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8488*g - 4242*g - 4244*g + 123.\nAnswer: 2*g + 123","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501826 is divided by 119.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 56715739?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - -4) + 1 + (3 + -6 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -4 - (-5 + -2 + 1). Suppose -5*s**x - 12 - 8 + 15*s**2 + 0*s**2 = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-69643174)\/(-1) - (-2 + 1 + -3). Let d = n - 129043178. Round d to the nearest one million.\nAnswer: -59000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(72)*-3 - (sqrt(72) + 0)**2*6.\nAnswer: -432 - 72*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-15)\/4 - 18\/(-24). Let h be (-45)\/2*2\/p. Is (-6)\/(-10) - (-2136)\/h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40 - 67) + 45 + -126 + 14.\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 143 is divided by 134.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -121\/60 and 1572\/112 - 36\/126.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (12\/10)\/((-3)\/(-30)). Let a = -635 + 640. Solve -a*b - 2*g = -3*b - x, -b = -g + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -2*o, 32*o - 30*o = -3*h. Suppose h = 3*s - 2*c - 13, -3*s + 5*c - 4*c + 14 = 0. Solve -2*v + 5*n - 15 = -2, -s = v - n for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 84797 take away 60086?\nAnswer: 24711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 5*d + 4 = 0. Let p = -1.05 + 0.85. Which is the nearest to 1? (a) p (b) d (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbtebettw. Give prob of picking 1 w and 2 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(-2\/3)*j)\/j)**(1\/40)\/(j*j**(1\/3))**(-3\/13) assuming j is positive.\nAnswer: j**(493\/1560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((5*(sqrt(125) + -4))**2 - ((sqrt(605) + 2)**2 + -2*sqrt(5)*-1)).\nAnswer: -1046*sqrt(5) + 2917","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/(-2) + 16\/(-8). Which is bigger: -18 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 AM and 3:00 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 63261 is divided by 256.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608 to the power of 1\/2, to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 6337493846 to the power of 1\/7, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00190965 to 4 decimal places.\nAnswer: 0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + 4 + 0 + sqrt(891) + 1 + -6*(1 + sqrt(1331)))**2 + -4.\nAnswer: 114*sqrt(11) + 35736","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 5*l**2 + 6. Let w be t(-5). Let n be 60\/27 + w\/(-27). Suppose -4 = -2*r + n. Solve -3 = r*g + 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1717*y**3 - 389*y + 150*y**3 + 779*y - 388*y.\nAnswer: 1867*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 15800994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/180)\/(3\/24).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3.1 in 1\/4, 4, -4, 0.11, 29?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 4) in base 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in thirteen sevenths of a week?\nAnswer: 312","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 10 + 5 = 0. Let i be 14\/(-4)*(q - 5). Suppose i*k - 15 = 2*k. Solve 4*m - j - 4 = 0, 0*m + 4*j + 16 = -k*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 312, -2\/7, 7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 931 and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 21, 0.41, -4, 1.5, 0?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 0 - 2*r**2 + 2 + 4*r + 5*r**2. What is the remainder when 10 is divided by k(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 7*c = -5, 2*c = x - 0 + 5 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/52 and -36\/689.\nAnswer: 2756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 44\/3 = 16?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*u - 0*u - 4, -2*u + t + 1 = 0. Suppose -1 = 4*j + 3. Let k = 0 - j. Which is the nearest to u? (a) -0.1 (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8734 - 8499. What is the remainder when l is divided by 116?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 4112 = -894. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 9*t**3 - 50*t**2 + 91*t - 15. Let m(d) = 17*d**3 - 100*d**2 + 181*d - 33. Let k(v) = 5*a(v) - 3*m(v). Find p, given that k(p) = 0.\nAnswer: 1\/3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.116 and 530.1.\nAnswer: -1651.7916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -19, 281, 4, -4, 5 in decreasing order.\nAnswer: 281, 5, 4, -1, -4, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, b: 1, z: 3, r: 1, i: 3, m: 9}. Give prob of picking 2 i.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 + (0 - -1))\/(-2). Let u(m) = -4*m + 7*m + h*m. Let r(i) = 11*i. Let b(s) = -7*s. Let f(c) = -8*b(c) - 5*r(c). What is f(u(t))?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-150)\/9. Let n = 2 - m. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - 30*d**2 + 7*d. Let h(y) be the third derivative of -y**6\/40 + y**5\/3 - 5*y**4\/24 + 980*y**2 - 1. Give -7*h(z) - 5*t(z).\nAnswer: z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -3*m**2 - 36*m + 30. Let b be o(-16). Let t = b - -161. What is the closest to -1\/4 in -1.1, 2\/3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/7)\/(1*120\/(-224)).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 77*-6\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 92 a factor of 11795651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*y + 10 = 25*y, -2*y = 4*j - 124. What is the closest to j in -5, -7, 3\/5, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/65)\/(c*c**(-13)*c) assuming c is positive.\nAnswer: c**(717\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**3 + 2*h**2 + 6*h - 7. Let n be t(3). Factor -15*y**3 + 47*y**3 - 18*y**3 - 2*y**n.\nAnswer: 2*y**2*(7*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.19 + 0.29. Let n be -40*(-11 + 399\/38). Which is the closest to n? (a) d (b) -1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 16 in 1\/35, 0, -1\/2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(17\/5))**(-4\/11)*k**(-16\/9)\/(k\/(((k*(k*k\/(k\/k**(-5\/11)))\/k)\/k)\/k)) assuming k is positive.\nAnswer: k**(-2707\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 25203*d**5 - 92637*d**2.\nAnswer: 1512180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -g + 10, 3*g - 4*h + 38 = h. Let f be 376\/24 + (-2)\/g. Solve -2*c - 5*n = -7*n + f, 5*n = c + 24 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -1 + 70*p**2 + 29*p**2 - 3*p + 2*p**2 - 15*p**2. Is r(2) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32828*0.021.\nAnswer: 689.388","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 + 942. List the prime factors of m.\nAnswer: 2, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76*154.\nAnswer: 11704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18245 and 5330.\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 + 63 = 2*g, -2*o = -3*g + 87. Is 11 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -44*d - 15. Let y(c) = -c - 1. Let h(q) = 5*y(q) - z(q). What is the tens digit of h(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 98 = -352. What is the remainder when t is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**2. Let w(c) = 3835*c**2. Calculate w(i(y)).\nAnswer: 15340*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 4 = -q. Let t(u) = 7*u**3 - 8*u**3 - 6*u + 8*u**2 + 11*u**2 + 47*u + 34. Let s be t(21). What is the highest common divisor of s and q?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v + 8*v + 130. Is 7 a factor of (v\/(-15) - (-15)\/9)*27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10.309 + 10.509. What is the fourth biggest value in -3.1, -4, u, -0.2, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 328236 and 218824?\nAnswer: 656472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006426 rounded to four decimal places?\nAnswer: -0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -308 - -35. Let w = s + 286. Is w less than 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/3*6\/4. Suppose 0 = r*s - s - 1470. Round s to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 7*u + 11. Let t be j(5). What is the highest common divisor of 8 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o + 480. Solve 3*k - o = -132 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10160?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -5*n + 28, 15*y + 12 = 11*y for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -12 + 15 + -1 + -2. Suppose -s + y - 4 = -2, m = -2*s - y + 8. Suppose 0 = 5*z - 10*z + 10. Solve -i + z = -s for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 309 is divided by 91?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 8, v: 2}. Give prob of picking 2 b.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -37 + -38 + 80 - (0 - 18 - -3)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(119) - sqrt(119)*3)*-3 + sqrt(119) - sqrt(119))\/(sqrt(567) + 2*sqrt(567) + sqrt(567)).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52416 by -56.\nAnswer: 936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -3*j + 7. Let u be s(4). Let c be (8 - 2)\/(0 + 2). Suppose 2 = -c*z - 10. Sort z, u, -3 in decreasing order.\nAnswer: -3, z, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.55 >= -2749230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z\/(z\/((z\/(z\/((z**(7\/3)*z)\/z))*z)\/z))*(z\/(z*(z**0*z)\/z*z))\/z*z*z**(-9)*z**3 assuming z is positive.\nAnswer: z**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 571799\nAnswer: 1715397","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11aa951 (base 11) to base 3.\nAnswer: 10221100201012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 j when two letters picked without replacement from {g: 2, j: 2, c: 8, m: 1, r: 2}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7\/(-12)*-14*(-125)\/((-10500)\/16).\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 19*j - 16. Let t be u(-20). Let v(o) = 2*o**2 - 2*o - 1. Let m be v(-1). Suppose -5*n + 4*q - 6 = -2*n, q = m. Which is smaller: n or t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/(4400\/(-180))*(-10)\/(-6). Let j(g) be the first derivative of 11 + q*g**2 + 0*g - 1\/3*g**3. Determine j(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 + 48*i**4 + 222*i**3 + 348*i**2 + 237*i + 60.\nAnswer: -3*(i - 20)*(i + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4 + 11\/(((-3)\/6)\/(8765\/(-10)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 45 = 4*s - 41, -m - 5*s - 4 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 655909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 11448, 11292, 11134, 10974, 10812?\n\"Answer: -y**2 - 153*y + 11602","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -439*c**3 + 290*c**3 + 148*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 51. Let a be (-4 - g)*2 - -5. Let w(l) = -l + 7. Let p be w(5). Which is bigger: a or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67 = -4*l - 23. Let k(g) = -2 + 5*g + 0*g + 2*g + g**2 - l. Let r be k(-9). Solve 0 = -r*u + 3*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -7 (b) 0.4 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5.016788996 + -46661.713235004. Let z = -46667 - p. Let x = z - -0.27. What is x rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 123, 22 in descending order.\nAnswer: 123, 22, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**(8\/3))**16)**33 assuming f is positive.\nAnswer: f**(-880)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*3\/115*55\/(-11).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8139.012 + 8164. Let c = u - 25. Let l = 0.312 + c. Sort l, 0, -0.08, 4 in descending order.\nAnswer: 4, l, 0, -0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h**2 + 856 - 856 - 10*h**2.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111 = 8*w + 95. Solve w*v - g = 7 + 1, -2*v = -4*g - 8 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 446 = 5*j, 0 = -8*p + 6*p - 4*j + 312. Let w = -148 + p. Solve -4*v - b + 2 = b, -3*v + b + w = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1340, 7802, 18568, 33638?\n\"Answer: 2152*r**2 + 6*r - 818","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*s**2 - 128 - 120 + 255 to the form k*s + c + w*s**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - 1. Let y = -0.6 + 0.8. Let d = 1 - 1. Which is the nearest to d? (a) n (b) y (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 20*b - 39. What is the smallest common multiple of 48 and l(3)?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16597698 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lg when two letters picked without replacement from lggggglgglgggglgglgg.\nAnswer: 15\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -10 from 1799241.\nAnswer: 1799251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3 - -3247515\nAnswer: 3247518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*v**3 + 733530*v**2 - 3423351*v - 1222620 = 0.\nAnswer: -81508, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -2. Let r be 0 - -3 - 0 - s. Suppose 4 = g - 0. Solve -r - 6 = g*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - k = -3. Let d(i) be the second derivative of 0*i**k + 0 + 0*i**4 - 1\/15*i**6 + 0*i**5 + i**2 - i. What is the first derivative of d(x) wrt x?\nAnswer: -8*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*b + 200161 + 263527 = -202024. What is the greatest common divisor of b and 92?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*t = -45*t + 70*t - 550 for t.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + -6. Suppose -3*s + t = -30, 3*t = -4*s - 0*t + 40. Let k = s - w. Does 19 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 54367076*u**3 - 2*u**2 + 1090654*u - 8 wrt u?\nAnswer: -60*u**2 - 326202456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**39)**33 assuming v is positive.\nAnswer: v**1320","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 121102 - 1188432 = -5*b, -3*j = b - 213446. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*3\/6 + 3. Suppose -y + 7 = -j. Let v be ((-1)\/y)\/((-2)\/6). Which is the third smallest value? (a) v (b) 1\/6 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*l = 46*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a**2 + 2*a**2 - a**2)*(-9*a + 12*a + 9*a)*(4*a - 3 + 3) + (0*a**2 + 5*a**2 - 3*a**2)*(-4*a - 2*a**2 + 4*a) - a**4 + 0*a**4 + 0*a**4.\nAnswer: 91*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of -17*a**6\/120 - 17*a**3\/6 - 14*a**2. What is the first derivative of o(z) wrt z?\nAnswer: -51*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**2 + 8. Let k(s) = -s**2 + s + 7. Let f(y) = -5*k(y) + 4*p(y). Let b be f(4). Let g = b - -7. Is g >= 2\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = -5*v + 101, -4*g + 5*v - 43 = -6*g. Suppose -g = 5*m - 9. Sort m, 4, -2 in decreasing order.\nAnswer: 4, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(91)*1*-4)\/((1*sqrt(14))\/sqrt(2)))**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402967297 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the second derivative of -m**3\/6 - m**2 - 19*m. Calculate b(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1335.\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -2, 2, -4, -658, -5, 3 in increasing order.\nAnswer: -658, -5, -4, -2, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = -2*g - 9, 0 = -g + 6*g + 5*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 1. Let g(i) = 2*i**2 + 13*i - 14. Let u be 3 - (-1 - -4) - -1. Let z(k) = u*p(k) + g(k). List the prime factors of z(-16).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4*sqrt(6655) + sqrt(6655) - sqrt(6655))\/sqrt(5) + -1)**2*2.\nAnswer: -176*sqrt(11) + 42594","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268087509?\nAnswer: 3, 1289, 7703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-6)*(82 - 100) + 1022. Put -4, -2, -1, i in decreasing order.\nAnswer: i, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -25070, -46601, -68132, -89663?\n\"Answer: -21531*x - 3539","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -3*g, -6 = 4*g - 2*w + 6. Let j = g - -1. What is the third smallest value in -5, 3, j?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**3 + 4*f**2 + 4*f + 1. Let r be c(-3). What is the units digit of 0\/(r - -4) + 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 - 25 = -3*q. Suppose -q = 4*i, 2*w - 2*i = -0*w + 262. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -137*i**2. Let y(m) be the third derivative of -m**6\/720 + m**4\/12 + 49*m**3\/6 + m**2 + 8*m. Let z(b) be the second derivative of y(b). Give z(f(w)).\nAnswer: 137*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(187) + (sqrt(187) - sqrt(187)*2)))\/(-6*1*sqrt(11))*1*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*f - 8. Suppose 0 = 5*k + f - 19. Solve 18 = k*d + 6 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -9) + -1 + (8 - (12 + 9))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivninvjvicvivz. What is prob of picking 1 j, 1 i, and 1 z?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 45*b**5 + 4638*b**4 + 174*b**3 - 13824*b**2 + 8349*b + 618 = 0?\nAnswer: -103, -2, -1\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + (-87 - (20 - 31))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.052, 7, 2942, -2\/35 in decreasing order.\nAnswer: 2942, 7, 0.052, -2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (3 + (-28)\/21)\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020a2 (base 11) in base 12?\nAnswer: -7a981","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-76)\/(-114))\/((-8)\/(-15))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2773021?\nAnswer: 2773021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4*27\/1404)\/1.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 135*v - 70*v + 26*v + 171*v to y + d*v and give d.\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - r. Let h(j) = 4*j**2 - 7*j + 2. Let f(o) = h(o) - 5*i(o). Let l be f(0). Suppose -3*c = b - 215, -l*c = 3*b - 3*c - 645. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 6, 2, -4, -12, -22, -34, -48?\n\"Answer: -c**2 - c + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = r - 32 + 33, -5*r - 5*j + 25 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 4:46 AM?\nAnswer: 3:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 3:44 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the second derivative of -35*q**3\/6 + 2*q**2 + 1249*q. Let z(v) = 17*v - 2. Give -3*h(x) - 7*z(x).\nAnswer: -14*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 145*d - 147*d + 10 = 0, -3*d = 3*q - 15. Sort 583, 3, q, -5 in descending order.\nAnswer: 583, 3, q, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 6 = -3*p. Suppose -p*h + 37 = 7. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the third derivative of 0 - y**2 - 2\/3*y**3 - 1\/3*y**4 - 20*y - 1\/60*y**5. Determine q(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 413 * -2\nAnswer: -826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2\/3 - 246885578*i\/3 + 82295193.\nAnswer: -(i - 1)*(i + 246885579)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -7*v. Let b(w) = -w**3 + 7*w**2 + 8*w + 3. Let r be b(8). Let g(x) = -22*x + 45*x - 23*x - r*x**2. Determine g(f(a)).\nAnswer: -147*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 4*w + 113. Let g be d(-52). Let j be (-38)\/g + 972\/20. Calculate the greatest common divisor of j and 245.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.75 + 40.25. Let j = d - 42.00000675. Round j to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/7*(-7)\/9)\/((-4000)\/3000).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 305.5 + -345.5. Which is the third smallest value? (a) n (b) 3 (c) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*g**3*s**2 - 2*g**3*v + 252*g**2*v + 5*g*s**2*v + 72*s**2 - 1 wrt s?\nAnswer: 4*g**3*s + 10*g*s*v + 144*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 (base 9) in base 4?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 - 9*t**2 - t - 2. Let z be f(-9). Let b = z + -5. Solve 0 = -d + b - 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 6556\/121 + (-4)\/22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 250 and 462.\nAnswer: 57750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 30*a - 97. Let m be c(4). Solve 28*i = m*i - 15 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5072)\/8242)\/((-4)\/26)*50\/32.\nAnswer: 25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 322*l**2 - 56*l + 56. Let r(y) = 17*y**2 - 3*y + 3. Suppose -6*c = -2*c + 224. Let k(o) = c*r(o) + 3*q(o). Does 7 divide k(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + 16*o + 34. Let x be j(-14). Suppose 10 = 8*i - x. Solve -i*c**4 + 0*c**4 - 21*c + c**3 - c**5 + 2*c**2 + 21*c = 0 for c.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -186*q**2 + 5764*q + 13. Give w(31).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.054794 rounded to two dps?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.11 + -0.01. Let x = 370.21 + -4.21. Let a = x - 366. Sort 12, a, 0.5, d.\nAnswer: a, d, 0.5, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34845566 a multiple of 2107?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 s when three letters picked without replacement from {d: 5, s: 9}?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of -r**7\/140 + 9*r**6\/20 - 48*r**5\/5 + 64*r**4 + 16*r**2 - 2*r. Solve x(k) = 0.\nAnswer: 0, 4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a - 4*a = 2019. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 AM and 9:36 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 4)*(-2 + 2 + 2*l) + 2 + 87250*l + 3 - 5 + 3808*l + 33723*l.\nAnswer: 124777*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -8, 6, 365, 1 in decreasing order.\nAnswer: 365, 6, 4, 1, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 910\/(-39)*(-60)\/(-25) - -1 - -8?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, -45.8, -0.2 in descending order.\nAnswer: 3, 1, -0.2, -45.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/((-5)\/20) + -2. Suppose o*u - 6 = 0, 3*v + 43 - 124 = -2*u. Calculate the greatest common divisor of v and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes before 3:08 PM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1472 divided by -736?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 180?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 61\/733746 and 109\/1391418.\nAnswer: 416033982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-17)\/(34\/(-12)) - 4. Suppose -2*k - x*k = -5*c - 57, 3 = -3*c. What is the highest common divisor of 325 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 50320 divided by 296\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -s**2\/3 - 1233340*s\/3 - 20965913.\nAnswer: -(s + 51)*(s + 1233289)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.5, 0, 342\/23, -3, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the third derivative of -u**5\/60 - 11*u**4\/12 + 29*u**3\/6 + 18*u**2. What is the units digit of t(-10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/3 - ((-9)\/(-9) - 10086). Calculate the highest common factor of d and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - (-42 + 11)) + -9?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -584847569197 - -0.7.\nAnswer: -584847569196.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*m**3 + 28*m**2 + 23*m**2 - 50*m**2)*(5 - 7 + 1).\nAnswer: -40*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -34*p - 5. Let w(y) = 611*y + 91. Let o(s) = 91*j(s) + 5*w(s). Let m be o(-1). Suppose 2*q = -q + m. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4514?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p**3 + 14*p**2 + p - 15. Let q(v) = -8*v**2 - v - 1 + 9 + 0*v**3 + v**2 + v**3. Let u(m) = 6*k(m) + 11*q(m). List the prime factors of u(4).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17\/36 + 2\/9. Which is the fourth smallest value? (a) 0.17 (b) 1\/4 (c) -6 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 608060601 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7098 and 42458?\nAnswer: 11591034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -65875\/38 - -1733. Sort -0.2, 2, b in increasing order.\nAnswer: b, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37643?\nAnswer: 37643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -12752, -12754, -12756?\n\"Answer: -2*y - 12750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -77216*n**2 - 72*n - 123564049.\nAnswer: -154432*n - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/9)\/((-38)\/(-285)). Solve -12*c - 4 = -z*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -578*b - 9225. Let w be o(-16). Solve 20*u - 10 = w*u + 5*x, 2*x = 5*u + 27 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 39*s**4 + 87*s**3 - 41*s**2 - 12*s = 0. What is s?\nAnswer: -1\/5, 0, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18160 * -9746.\nAnswer: -176987360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -2 (c) -2\/122219 (d) -0.3 (e) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 21*w + 113. Let x(o) = o + 2. Suppose -k - 45 = -7*u + 2*u, 4*k - 40 = -2*u. Calculate the least common multiple of n(-5) and x(u).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 3*j**2 + 5*j - 7. Determine g(2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 2*f**3 - 68*f**2 + 12*f - 33. Give x(34).\nAnswer: 375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 572298 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5018*801.3.\nAnswer: 4020923.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*((-80)\/60)\/(2\/(-3)). Which is smaller: -143 or z?\nAnswer: -143","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -457502430 divided by 6630470?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -101, -107, -117, -131, -149, -171?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 243.3 + 14.7. Let p = 271 - y. Sort -2\/33, 3, p in ascending order.\nAnswer: -2\/33, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*f - 5973 + 234898 = 0, -5*b - 5*f = -381475. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 517970?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 547, 4355, 14657, 34699, 67727, 116987?\nAnswer: 185725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 15 = -v - 2*j, 5*v = -j + 67. Suppose 4*p - 67 - v = 0. Solve 9*t = 4*t - p for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3508*-3599.\nAnswer: -1262.5292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9\/4*n**2 - 579\/4*n - 195\/2 = 0. Calculate n.\nAnswer: -2\/3, 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = 2*n - 35, 29*n - 26*n + 5*f - 40 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 3:08 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -17 (b) -74 (c) -3\/5 (d) 5 (e) -13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -583*y**4 + 481*y**3 - 1716800 wrt y.\nAnswer: -2332*y**3 + 1443*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**0)**(-2\/9)*m\/m**(-6)*m**(2\/29)\/m assuming m is positive.\nAnswer: m**(176\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-10)\/4)\/((-480)\/(-768)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -10.9 - -11.3. Which is the closest to 0.1? (a) v (b) -2\/11 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/9 + (-392)\/18. Let g be 3 + (m + 3)*-1. What is the tens digit of (-4 - g\/(-5))*205\/1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 + 14*k + 8*k + 18*k + 3 - 31*k - k**2 in the form c*k + a + n*k**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-w + w + 2*w**2)*(-25*w - 2*w - 431 + 432) + (4 + 2 - 2)*(0*w**3 - w**3 + 0*w**3) in the form k*w**3 + q + g*w**2 + l*w and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 93?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 + (-24 - -8 - -19) - -20\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.2, -8\/27, -78?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*h + h + 49, -5*t + 3*h = -281. Let b = 136 + t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -129976037, -259952077, -389928117, -519904157, -649880197, -779856237?\n\"Answer: -129976040*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 10*p**2 + 5*p - 72. Let d be z(10). Suppose 3*u + 4*j - 1181 = 0, 0*u - 3*j - d = -5*u. Calculate the greatest common factor of u and 237.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784)*3*-2 + 3*sqrt(784)*-6 + sqrt(784))\/(((sqrt(80) - 2*(-1*sqrt(80) - sqrt(80))) + sqrt(80))\/(-3*sqrt(10)*6)).\nAnswer: 483*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2732480 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j*j\/j**(2\/7))**10\/(j**3\/(j*j*j*j**(1\/2))))**(2\/3))**(-3) assuming j is positive.\nAnswer: j**(-387\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 148368.021 rounded to the nearest one thousand?\nAnswer: 148000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.6 (c) 8 (d) 0.5 (e) 0.4 (f) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 693038287 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (748\/(-102) - 14\/(-2)) + 355\/3 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k - 9. Let x be t(-14). Let r(u) = -2*u**2 + 8*u - 8. Let y be r(x). Let n(z) = -z**2 - 17*z + 21. Let i be n(y). Solve i - 1 = f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 66*o**3 + 6*o**2 - 1 - 136*o**3 + 70*o**3 + 4*o**4 as r*o**3 + s*o + d*o**2 + z + m*o**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 60, 54, 44, 30, 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) be the first derivative of o**6\/60 - o**5\/30 + o**4\/12 - o**3\/2 + 39*o**2\/2 + 28. Let q(s) be the second derivative of c(s). Determine q(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 9\/5, 549\/8, 2\/11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 298.6 - 298.8. Let h = 0.1 - 0.09. What is the third smallest value in z, 4, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12137859 is divided by 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 2201 divide 288704546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 19139200?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1346, -2679, -4046, -5465, -6954?\nAnswer: -8531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = -3*m + 1632 + 795, -m + 2*v + 794 = 0. What are the prime factors of m\/(-18)*3\/(-2)?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(2299)*-1 + sqrt(2299)) - (sqrt(2299) + 0 + sqrt(2299) + sqrt(2299))*-6 - (-4*2*sqrt(2299) - (2*sqrt(2299) + -5)))**2 + -3.\nAnswer: -3080*sqrt(19) + 1802438","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.286504 weeks in microseconds?\nAnswer: 5011677619200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -90, 0 in increasing order.\nAnswer: -90, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4250.289 nanometers to kilometers.\nAnswer: 0.000000004250289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-10 - (-1 - 10 - -1)) + 12 - 12\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*l + 0*l**2 - 12*l - 2*l**3 + l**2 - 4*l + 26*l + 142 to o + p*l**3 + d*l + j*l**2 and give o.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 594806 is divided by 5126.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 4682 - -8?\nAnswer: 468a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/59 greater than -1\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - 7*n - 6. Let m = -4 + 12. Let f be o(m). Let s(g) = 3*g**2 - 5*g + 3. Let h be s(f). Solve -4*d - 16 = -2*l, 2*d - 5*l + h = -d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2\/17 - 4192*t\/17 - 4530504\/17.\nAnswer: 2*(t - 2882)*(t + 786)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - x**2 - 2*x + 1. Let o(d) = -7*d**3 + 13*d**2 + 5*d + 1. Let n(k) = o(k) + 6*p(k). Determine n(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8552 - 1145 - 1311)*(-z**4 - 2 + 2).\nAnswer: -6096*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -383 * -7.49.\nAnswer: 2868.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11688 and 638088.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*u**2 + 170*u**3 - 41*u**2.\nAnswer: 170*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 145430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((8*(-6)\/(-96))\/(-1))\/((-114)\/2793).\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4390, -23.83, 0.4 in ascending order.\nAnswer: -23.83, 0.4, 4390","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7359.491 weeks in nanoseconds?\nAnswer: 4451020156800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15065 divided by 5?\nAnswer: 3013","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-8))\/(((-1656)\/(-384))\/(-69))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -5 (b) -2\/5 (c) -0.2322 (d) -0.1 (e) 4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 PM and 5:18 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 39 + a?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + 20 = -5*h, 2*h - 4*h + 4*n = 8. Let m be 23\/(-20) - 3\/h. Let f be 36\/6*(-3)\/(-6). Which is the smallest value? (a) -1\/2 (b) m (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**3 + 2*c**3 + 0*c**3 + (7*c**2 + 3*c**2 - 2*c**2)*(3*c + 0*c - c).\nAnswer: 17*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -6*r**2 + 3*r + 10. Determine o(5).\nAnswer: -125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of z**4\/12 + z**3\/3 - z**2\/2 - z. Calculate the least common multiple of (-16)\/(-10) - 2\/(-5) and f(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 19. Let v = 6 + s. What is the biggest value in v, -2\/9, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820.\nAnswer: 2, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -36 - 1551205?\nAnswer: -1551243","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (6\/(-4))\/((27\/156)\/3). Let c = x + 32. Do c and 5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 10 - 14 = 0. Let w be (-60)\/36*(-6)\/5. Suppose -3*h + 5*s = q, -h = w*h + s + 6. Put -4, 10, h in descending order.\nAnswer: 10, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -6.5. Let i = z - -1.7. Let h = 1.2 - i. What is the third biggest value in 1, 5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -737, -1132, -1527, -1922, -2317, -2712?\n\"Answer: -395*n - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 391 + 2463*t**3 + 0*t**2 - 391 - 2469*t**3.\nAnswer: -6*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 0.0313, -0.3, 3.\nAnswer: -0.3, 0.0313, 3\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/8)\/(-1*18\/120).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 395 = 265. Let t be 22\/a - (-1)\/(-40). Put 1\/4, 1, t, -4 in descending order.\nAnswer: 1, t, 1\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.743765l to millilitres.\nAnswer: 7743.765","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 90666450?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 403, 380, 357?\nAnswer: 334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 0 + 9*k + 1\/3*k**2 - 1\/18*k**4 + 1\/18*k**3 - 1\/60*k**5. Let n(g) = 0. What is g?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -262 in -2\/3, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z**(2\/7))\/z*z)**(-44)*(z*z**(1\/2))\/(z*z**(-8)) assuming z is positive.\nAnswer: z**(-1289\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 + 10*t**2 + 13*t - 19. Calculate y(-8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-9)*3)\/((-6)\/12).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -2*p - 10. Let a(c) = -c**2 - 5*c - 4. Let o be (6\/(-5))\/(5\/25). Let g be a(o). What is the least common multiple of 2 and k(g)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1824051, 3648112, 5472173, 7296234, 9120295?\n\"Answer: 1824061*k - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 3*c**2 + c - 2. Let g(q) = 13*q**2 + 4*q - 8. Determine -4*g(w) + 18*p(w).\nAnswer: 2*w**2 + 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 - 10*k - 21 + 0*k + k - 2*k + (4*k + 0*k - 2*k)*(2 - 3 - 1))*(-6*k + 6 - 6).\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-29 + 5)\/(-8)*(0 + -1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*((21\/(-24))\/7)\/((-2)\/(-4))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k\/(k\/(((k\/k**(-1\/2))\/k)\/k)))**(-2\/17)*(k**6*k)\/k**(2\/9)*(k*k\/(k**(1\/2)\/k))\/k*k*k**(-4)*k*(k\/k**(1\/4))\/(k**(-2\/19)\/k) assuming k is positive.\nAnswer: k**(93887\/11628)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j. Let t(f) be the second derivative of -f**7\/840 + 2*f**4\/3 - 6*f. Let y(s) be the third derivative of t(s). What is g(y(r))?\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -46050600 rounded to the nearest 100000?\nAnswer: -46100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9051 is divided by 8880.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2 + 0*b**2 - b**2. Let t(j) = -j - 1. Let n(i) = -8*i - 7. Let u(v) = -2*n(v) + 14*t(v). Give u(z(s)).\nAnswer: 2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*a**2 + a**2 - 4*a**2)*(3*a + 0*a - a)*(0*a + 0*a - 2*a)*(1 + a - 1).\nAnswer: -4*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the second derivative of -q**6\/360 + q**5\/120 + 83*q**4\/12 + 40*q. Let c(d) be the third derivative of k(d). Let z = 5 - 0. What is c(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 - 80 = -16*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 1 + 2*g - g**2 - g)*(-1 + 1 - 4*g).\nAnswer: 4*g**3 + 16*g**2 - 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 7*c - 106. Let l be q(13). Let t be (l\/(-9))\/(3\/27*3). Solve -9*m = -4*m - 2*v - 8, -t*v = -m - 3 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xrxxrxxxxrrrr. Give prob of picking 1 r and 2 x.\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457*l - 454*l - 399*l + 1320*l + 4 - 4.\nAnswer: 10*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -1126.505 times 117\nAnswer: -131801.085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 + 2*w**2 - 2*w - 2. Let v be j(-2). Suppose 0 = -h - v + 6. Solve p + 0 = h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1106468 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17 in 0.4, -3, 4, 0.5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.1 (b) -0.3 (c) 9\/8 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 4*c**2 + 2*c + 5. Suppose 0 = -2*t - v - 3, -v = -3*t - 0*t - 12. What is the least common multiple of k(t) and 12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4224928, 8449841, 12674750, 16899655, 21124556, 25349453, 29574346?\nAnswer: 33799235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54079 and 82?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6026 times -11.19\nAnswer: -67430.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/(-9) + (-14)\/(-21). Suppose 0*g - 156 = -l*g. What is the tens digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - h = h - 6, 3*h = -3*k + 12. Let j(d) = d**k - 541*d + 541*d. Let t(s) = -2*s + s + 0*s. Calculate j(t(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3764880 by -3024.\nAnswer: 1245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 526*z + 523*z - 1051*z.\nAnswer: -2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -408.583159 - -0.2411?\nAnswer: -408.342059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90165, 360613, 811389, 1442493?\nAnswer: 2253925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 2*d - 639. Let b(t) = 3*t. Calculate -b(j) + g(j).\nAnswer: -j - 639","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + (-6 + (2 - -1) - -3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 3*p - 18, 0*g + 4*p = 3*g - 20. Let t be 3\/g*610\/15. Let d = -31 + t. What is the nearest to -0.1 in d, 1, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28*l + 34*l + 37*l + 4)*(0*l + 3*l - 2*l) to the form m*l**2 + k*l + p and give m.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1374 - -1373.7. What is the smallest value in 1\/3, 9.8, f, 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) be the third derivative of z**6\/120 + z**4\/8 - 2*z**3\/3 - 36*z**2. Let k be l(0). Sort 3, k, -5, 12.\nAnswer: -5, k, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, i: 1}. What is prob of sequence ia?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(513)\/(sqrt(9)*-2))\/sqrt(3)*4.\nAnswer: -12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(7) - sqrt(14)\/sqrt(2))*-3.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10944 and 40356?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -31 by 493.\nAnswer: -31\/493","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-3*sqrt(187))\/(sqrt(11) - -1*sqrt(99))*-1.\nAnswer: -15*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000008807 rounded to 7 dps?\nAnswer: 0.0000088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 640 at least 638?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = s - 0*s. Let x = 1 + s. Calculate the lowest common multiple of x and (-4 - 20\/(-6))*-24.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t, 1 a, 1 j, and 1 c when four letters picked without replacement from {t: 5, w: 1, j: 9, c: 1, a: 1, z: 1}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + -1b10?\nAnswer: -1b07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of 243 + 2\/7*i**3 + 15000\/7*i - 300\/7*i**2. Let x(h) = 0. Calculate h.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/3)\/((-8)\/((-32)\/(-18)))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 80*f = 142*f - 310 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 58785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*7\/49)\/(((-3)\/(-12))\/((-162)\/(-24))).\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -992113*o + 992116*o + 2*j - 56, -3*o = j - 55 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 2*l = -21, -5*o = -3*l - 3 - 3. Let h be (-1)\/(-2)*(5 + -1). Solve h*x = -o*k + 13, 13 = -5*k + 4*x - 2 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 2) in base 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*q - 149 = -126 + 147 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -95*132\/110*-1. What is the highest common divisor of 20406 and f?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o + 0*o)*(-3*o + 3*o - o)*(-2 + 6 - 9*o - 5).\nAnswer: 9*o**3 + o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 341452 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by -283\nAnswer: 88\/283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123251.872 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**28*s**(1\/48))\/(s\/s**(-34))**(-3\/13))**(3\/16) assuming s is positive.\nAnswer: s**(22525\/3328)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 6744 = 9*j - 6*j, 2*j + 5404 = 4*l. Calculate the greatest common factor of 54 and l.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -4*q - 7. Let n be x(-5). Let u(z) = z**2 - 10*z + 1. What is the units digit of u(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 6*s**2 - 1. Let v be ((-9)\/(-4))\/(6\/16). Suppose 3*u + 3 = v. Give i(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4*t + 5. Let u(x) = -12*x - 11. Let r(s) = 13*s + 11. Let a(z) = 3*r(z) + 4*u(z). Let b = 7 + -14. Let j(m) = b*i(m) - 3*a(m). Calculate j(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 107991246, 107991247, 107991248, 107991249, 107991250, 107991251?\n\"Answer: h + 107991245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 0.3 (c) -25 (d) -87\/2 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*t + 765 + 61*t + 49*t.\nAnswer: 20*t + 765","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -10*s**3 + 2*s**2 + 2*s + 2. Calculate the remainder when 162 is divided by j(-2).\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 172 and -2.19997.\nAnswer: 169.80003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1572 - -1574. Which is the fourth smallest value? (a) w (b) -5 (c) 1 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -335*-282.061\nAnswer: 94490.435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3386470, -6772948, -10159412, -13545856, -16932274?\nAnswer: -20318660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kziuaitka. Give prob of picking 1 i and 2 a.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) -4\/3 (c) 2\/885 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 16438 + -1?\nAnswer: 16437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -33.18453 to one decimal place.\nAnswer: -33.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*k**2 + 3*k**2 + 5*k**5 + (-17 + 38*k**4 + 17)*(2*k - 3 + 3) + 0*k**5 + 5*k**5 + 0*k**5.\nAnswer: 86*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 5 - 3)*((-6*k**2 + 3*k**2 + 0*k**2)*(-3*k**2 - 2*k**2 + 4*k**2) - 4*k + 4*k + 2*k**4 + (k**2 + 4*k**2 - 4*k**2)*(0*k**2 + 0*k**2 - k**2)).\nAnswer: 4*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 24, 0.5, -17 in ascending order.\nAnswer: -17, 0.5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejjg when four letters picked without replacement from jxxelljg?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - ((3 - 0) + -4 + 0).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -5 + (5 - 1) + 6 - (-2 + 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 588, 577, 560, 537, 508, 473, 432?\n\"Answer: -3*o**2 - 2*o + 593","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 62899116 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 479333 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -0.3, -1\/14, 1\/17, 0 in decreasing order.\nAnswer: 4, 1\/17, 0, -1\/14, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s - 2. Let o(t) = 5*t + 424. Determine -4*h(k) + o(k).\nAnswer: k + 432","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 340c (base 15) to base 12.\nAnswer: 6479","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 - 2. Let m = 19 - n. Suppose -5*g - j = 3*j - 26, 2*j = 4*g - 26. Calculate the smallest common multiple of g and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1284*a - 740*a**2 + 4*a**3 - 117*a - a**3 + 742*a**2 as r*a**3 + n*a**2 + t + v*a and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - 0. Suppose -5*j - 26 = 4*x - 3*j, -5*j = 5*x + 45. Is l less than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25 by 21.\nAnswer: 25\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 PM and 2:57 AM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 101 is divided by 46.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3460913 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 7 = 2*n, o - 12*n + 7*n + 7 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 + 0*m**2 + 2*m**2 - 3*m**2 as k + n*m + b*m**2 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a milligram in micrograms?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2 - 3*x. Let o be (4 + (-57)\/12)*4. Calculate a(o).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**3 + 0*v**3 + v**3 + (-5*v**3 + 4*v**3 - v**3)*(1 - 3 + 4)*(261 + 51 - 13) to the form p*v**3 + t*v**2 + o + y*v and give p.\nAnswer: -1194","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11366911\/814 - -27929\/2. Let x = 2\/37 - g. Which is the nearest to 0.1? (a) 1 (b) -4 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 173\/106050 and -40\/1741.\nAnswer: 184633050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 12 - 20. Let n be ((-10)\/x)\/(1\/4). Solve -n*v + 4*k - 36 - 9 = 0, 4*v + 45 = 5*k for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*k + 631 = -1294 for k.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) 2 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 112570\/(-236397)*(-3)\/2*-3\nAnswer: -15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 44038 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: Let w = 6 - 2. Suppose b + w = a, 3*a - 5*a = 3*b - 8. Is 1 greater than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 3*n - 219, -4*v - 2*n = -v - 218. Suppose i + 3*i = v. Let x = -4 + i. Calculate the remainder when x is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 328 = 5*u + 3*k, -u - 2*u + 2*k + 212 = 0. Calculate the least common multiple of 132 and u.\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hko when three letters picked without replacement from honokknh.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -667 divided by 2?\nAnswer: -667\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -441 from -18681.399891.\nAnswer: -18240.399891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - 0. Let n = 17 + -16.8. What is the nearest to a in 3, n, -5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -5, 3, 89 in ascending order.\nAnswer: -8, -5, 3, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 382463.911 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 521*u - 1792. What is the units digit of w(58)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 11.3345ms?\nAnswer: 11334.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 684 and 608?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8433 + 9782. What is the remainder when o is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqnq when four letters picked without replacement from {h: 4, d: 7, q: 5, n: 3}?\nAnswer: 5\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 71\/4 of a decade?\nAnswer: 2130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 43 - 40. Suppose r - 3 = 4*r. Let z be r - -1*(-2 + 3). Solve 0 = -z*u + t*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6, 6, -4, -30, -78, -154, -264?\n\"Answer: -a**3 + a**2 + 4*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -15*i. Let f(w) = 44*w - 35. Let c be f(7). Suppose i = 7*x - c + 70. What are the prime factors of x?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 19*x**2 + 14*x + 47. Calculate a(18).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8824883 is divided by 2142.\nAnswer: 1985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -957, 4119, -5 in descending order.\nAnswer: 4119, -5, -957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 211 minutes before 4:05 AM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 6 = -78*c + 80*c, 0 = -r + c. Solve -r*x = 10*x + 26 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20 and 738?\nAnswer: 7380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*sqrt(88)*2)\/sqrt(8).\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3186 - 3608.3. What is f rounded to zero dps?\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -25*p - 3. Let w(g) = -g**2 - 21*g + 19. Suppose -8*j - 108 - 68 = 0. Let o be w(j). Let d be i(o). Calculate the highest common divisor of d and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) + (sqrt(152) - (sqrt(152) + 3*sqrt(152)*-3)))\/sqrt(8) + (-1 + 2*sqrt(304))**2.\nAnswer: -6*sqrt(19) + 1217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 4177 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v. Let k(d) = 2*d. Suppose -4*j = 4*i + 4, -4*i + 6 = 14*j - 12*j. Determine i*p(c) - 5*k(c).\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 - 5*x**2 + 49*x**2 - 10*x**2 - 34*x**2.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -144.99932 + 145. Round x to four dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -18 (b) -0.1 (c) -5 (d) -690 (e) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 188 + -18.2. What is k rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1169*p*u**2*x**2 - 25*p*u**2 - p*u*x - 3*p - 2*u**2 - 2*u + 42*x**2 + 2 wrt x?\nAnswer: -2338*p*u**2*x - p*u + 84*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, -4\/3, 0.0043 in decreasing order.\nAnswer: 0.07, 0.0043, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-195)\/52*(-112)\/210\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -10. Let m = -17 + 18. Put d, 2, m in descending order.\nAnswer: d, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*t = 54*t - 976. Let a = 127 - t. Sort -3, a, -84 in decreasing order.\nAnswer: a, -3, -84","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 10}. What is prob of picking 2 c?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-1 + -1 + sqrt(1573) - sqrt(1573) - (0 + 2*sqrt(1573)))**2.\nAnswer: 88*sqrt(13) + 6292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 510716893 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((36\/10)\/2)\/(-8*(-51)\/182240). What is the highest common divisor of 192 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5389582 to the nearest integer?\nAnswer: 2322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put together 12.772822 and 41.\nAnswer: 53.772822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -31 + 36. Suppose 2*c - 2 = -3*z, -t*z - 2*c - c + 5 = 0. Solve -5*h - 9 = -3*x, -3*x = z*h + 24 - 6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**2 + 2*b - 1. Let q(l) = -l**2. Let p be (11\/33)\/(3\/351). Suppose 0 = 2*a + 41 - p. What is a*y(i) + 2*q(i)?\nAnswer: -i**2 - 2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away 1.3731?\nAnswer: -6.3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 4*c + 16 = 0, -37*h - 5*c = -32*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1217 (base 11) to base 5.\nAnswer: 22331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**2 - 2*h - 1. Let z be r(3). Suppose 0*y = -z*y + 44. Is y a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1757 - -2463. Let p = k - 416. What is p rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k = -4*n + 210 - 200, 2 = -k - n for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4808166ms in microseconds?\nAnswer: 480.8166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 + 5*l + 8. Let g be k(6). Suppose 0 = 2*c - g*q - 50, -4*q + 3 = 11. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 5*k**2 + 8*k - 5. Suppose -5*r + 29 = 4*a, -3*a - 3*r + 10 = -11. Let v(l) = -8 + 13 - 5 - l**2. Let y(c) = a*v(c) + h(c). Calculate y(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + 1 - 63612\/(-11). Let u = 2935 + 2844. Let s = u - i. Find the common denominator of 93\/10 and s.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 389336 and 109552.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 20*q + 326. Let i be x(-16). Solve 3*v = -2*n - i - 3, -n - 22 = 5*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -3*d - 24. Determine j(-3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-3 - -2 - -4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 176, 122, 44, -58, -184?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 93 - 43 - 63753*r - 48.\nAnswer: -63753*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1269024 to the power of 1\/3, to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 6*w + 4*d = -9, -23 + 91 = 2*w - 9*d - 4*d for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a + 30 = -5*z, -a + 3612*z - 3609*z + 18 - 1 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -5*k**2 + 2*k**2 - 105*k**3 + 3*k**2 - k. Let n be w(-1). Let s = n - -11. What are the prime factors of s?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/61 <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 491*p - 20871 - 26265 = 0. Calculate the least common multiple of 48 and p.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26784301 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of k**9\/7560 - k**5\/120 - k**4\/12 - 2*k**2. Let a(v) be the second derivative of o(v). Find the first derivative of a(p) wrt p.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 908*v + 905*v + 8 = 0, 3*t + 4*v - 7 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + 4)*(-8*q**2 + 17*q + 4*q**2 - 15*q) to the form b*q + t + a*q**2 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/51203 + 2662981\/21761275. Find the common denominator of 37\/85 and m.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -4*u + b + 2*b, 4 = 2*b. List the prime factors of 69 - 3*u\/3.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -6539, -6561, -6585, -6611, -6639?\n\"Answer: -t**2 - 19*t - 6519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -133450484 + 0.184?\nAnswer: -133450483.816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -61*h + 53*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kic when three letters picked without replacement from kcrrocirxxkc?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.26098t to kilograms.\nAnswer: 8260.98","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 13 + 47. Let o be 100\/z + 4\/6. Suppose -3*v + x = -3*x - 6, 0 = -3*x. Solve -s - o = -v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.046 + -23.954. Let x = 3.20426 - -1.79574. Which is the nearest to y? (a) 1\/4 (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 304225 - 152078. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -105124416 divided by 1095046\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1164\/495)\/(2\/3). Let g = -3\/3230 - 96867\/35530. Let l = i + g. Which is the nearest to 2\/9? (a) -3 (b) l (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 180 = -3*q, 38*q = 39*q - 3*j - 53. What is the remainder when 97 is divided by q?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2474782.5 rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.39524700965 and 3252.\nAnswer: 3251.60475299035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {f: 8, v: 4, a: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pjzhkkhnhkhjhkjh. What is prob of sequence kn?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -z**4\/9 + 2*z**2\/3 + 6*z - 7. Let p(f) be the first derivative of g(f). Find k, given that p(k) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 16) to base 15\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 8 (base 12) to base 9\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.272 or 0.1?\nAnswer: -0.272","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013512 (base 8) to base 7.\nAnswer: -6510121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1857 and 57?\nAnswer: 35283","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -126 by -12636.\nAnswer: 7\/702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -605*g + 4121. Calculate the remainder when n(-39) is divided by 53.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of 4\/15*h**3 + 1\/5*h**2 - 1\/15*h**6 + 0*h**4 - 4\/25*h**5 + 0*h + 1. Suppose s(z) = 0. What is z?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -10*l - 15. Let t be z(-3). Suppose t*y - 17*y + 172 = 0. What are the prime factors of y?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 3*t + 3*t)*(9*t - 5*t + 3*t) + (68*t - 26*t + 24*t)*(0*t + 0*t + 3*t) as g*t**2 + p*t + w and give g.\nAnswer: 226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 10 = 2. Let i(c) = 9*c**2 + 23*c - 11. Let o(h) = 5*h**2 + 12*h - 5. Let j(n) = f*i(n) - 5*o(n). Is j(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21606964627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oxx when three letters picked without replacement from {m: 1, p: 6, x: 3, j: 3, o: 1}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 25926532?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 8521200 to the power of 1\/2, to the nearest integer?\nAnswer: 2919","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 5, k: 2, i: 3}. What is prob of picking 1 i and 3 d?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -20 times 107282\nAnswer: -2145640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 1, w: 2}. What is prob of picking 1 z and 1 w?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -3\/214, 3, -4, 2, 5\/2 in descending order.\nAnswer: 3, 5\/2, 2, -3\/214, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -3.2 * -34\nAnswer: 108.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, g: 9, n: 2, f: 2}. What is prob of picking 1 g and 1 w?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 208840979 is divided by 800157.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-8)*n\/n**(-15))\/(n*(n**5*n)\/n*n)**(-21) assuming n is positive.\nAnswer: n**155","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -72\/4773131 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*g - 11 + 5 + 11*g + 5.\nAnswer: -56*g - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 6) + (-84)\/(-22) + -2. Let u(h) = 2*h + 3. Suppose -5*m = 0, -12 = 5*x - x - 3*m. Let d be u(x). Which is the nearest to 0? (a) 5 (b) l (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**3 - 28*k**2 + 25*k + 66. Let g be f(27). Let x(m) = g + 10*m**2 - 31*m**2 + 13*m**2 - 6*m - m**3. What is x(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-17028)\/(-308) + -51 + (-4)\/14. Let n = -8 + 7. Put o, -1\/2, 6, n in descending order.\nAnswer: 6, o, -1\/2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -6*v + 8. Let l be y(5). Let a = l + 24. Solve 0*c = -a*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the first derivative of -4*y**3\/3 - 168*y**2 - 7056*y + 186. Factor t(z).\nAnswer: -4*(z + 42)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -97 by 46.\nAnswer: -97\/46","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 17277?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*(-8)\/(-6) - 25. Let o = 28 + u. Solve 5 + o = -l + 5*k, -4 = l - 2*k for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1286, 2229, 3172?\nAnswer: 4115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 284 = 4*a. Let b = a - -320. Calculate the greatest common factor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2848 (b) -0.06 (c) -0.4655\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(600)\/(2*sqrt(12)))\/sqrt(10)*-1.\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 39117432 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32856023?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.13 in 21, -2\/11, -0.3?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-6) - (-7)\/(-3). Let r be 3\/a*4\/(-6). Let k be 34\/153 + (2060\/288 - (24 - 17)). What is the second biggest value in -6, k, r?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 12*j = -144. Suppose -j*g - 5040 = -48*g. Does 7 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-543614)\/(-4)*232\/116 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 66*r + 1079 = 6359. What is the units digit of r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-102)\/(-10)*4234\/3. Let g = 14333 - f. Let q = -63 - g. Which is smaller: 1 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4870782\/495 - (-8)\/220?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 - 7*h**2 + 17*h + 5. Let n be 2 + (1\/(-2))\/((-12)\/24). Suppose 41 = -4*v - 5*t, -4 = t - n. Is 2 a factor of i(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 45 * 13626.\nAnswer: 613170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4 + sqrt(475)*1*3 + 5))**2.\nAnswer: 270*sqrt(19) + 38484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/1869 and 23\/57762.\nAnswer: 35985726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173, -292, -369, -410, -421, -408, -377, -334?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f - 26. Let i(o) = 38*o - 41. Give -i(c) + 2*q(c).\nAnswer: -36*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 2*p - 5*p**4 + 4*p**4 + 2 + 4*p**3 + 9*p**3 to q*p + m*p**2 + x + r*p**3 + b*p**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 + -338 - (30 - 3)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = v**3 + 2*v**2 - 3*v + 2. Let n be a(2). Let k = 26 + -26. Let y = k + 48. What is the highest common divisor of n and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 109, 118, 99, 58, 1, -66?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -116947, -233894, -350841, -467788, -584735, -701682?\nAnswer: -818629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 394843 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 409799153 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000010110 (base 2) in base 9?\nAnswer: 10768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4*j + 27 = 0, 12 = 2*l + 4*j + 6. Solve -1 = -4*f + l for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + -2. Suppose u*w - 12 = -4*w. Suppose 0 = 4*v + 4*d - 92, -4*v + d + 78 - 1 = 0. Solve 0 = 5*h + 5*c - v, -w*h - 2*c + c + 8 = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -2\/575 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*t - 10*t + 48 for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 2:27 PM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -9*m - 9. Let s(b) = 5*b + 5. Let h(f) = 4*q(f) + 7*s(f). Let o(i) = 42*i + 30. Let g(z) = 30*h(z) + o(z). Let t(v) = -2*v. Determine t(g(p)).\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 22 = -d, 0*h - 5*h + 3*d + 24 = 0. Let j = h - 6. Suppose -3*o - 2*o + 25 = j. Does 2 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 9*p - 81. Does 8 divide d(16)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4434051 - -2455?\nAnswer: -4431263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) -3 (c) -248 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128615 = 7*u - 219866 - 681962. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b**(-1\/17)*b*b)\/b*b\/(b*b**(-14)))\/((b*b\/(((b\/b**(-4))\/b*b)\/b)*b)\/b)**(-9\/7) assuming b is positive.\nAnswer: b**(1710\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a*g*m + 4*a*g + 3*a - 10*g*m - 4*m - 5 with respect to a.\nAnswer: g*m + 4*g + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 7*w**2 + 6*w + 7. Let x be u(5). Let p(v) = -4*v - 2. What is the tens digit of p(x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -568230506530 and 0.06.\nAnswer: -568230506529.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -2*g**2 - 1436*g + 17512. What is v(12)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.43.\nAnswer: -1.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 5 (b) -2 (c) -326\/95 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111 - -102323?\nAnswer: 103100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -39\/101924?\nAnswer: -39\/101924","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5791*f = -4*w + 5793*f + 18, 3*f = 2*w - 23 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26116074401 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by -472562.\nAnswer: 17\/472562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = 37 + 215. Let j be (-54)\/x*2\/4. Let v be (2\/(-6))\/(2\/3). Which is the nearest to 1? (a) -0.1 (b) j (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -2.8. Let r(z) = -z**2 + 5*z + 2. Let m be r(5). Let u be (-19)\/(-36) + m\/9. Which is the second biggest value? (a) w (b) u (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1405 + 1404.9. What is the second smallest value in 1\/8, t, 142, -4\/7?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zgy when three letters picked without replacement from nyngynenyzg.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**4)**14*(t*t**(1\/15))\/t**(-5) assuming t is positive.\nAnswer: t**(931\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -5 (c) -30598008\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ehyhhhe. What is prob of sequence hyh?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, l: 3, b: 2, a: 1, i: 3, y: 2}. What is prob of sequence il?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-256)\/(-96)*28\/(-10)*30\/16?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2112 + 2121. What is the nearest to 2\/5 in -0.4, 1, v, 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45\/(2\/(-6) - 19\/(-30)) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/171*-45*(-4)\/312*9.\nAnswer: 15\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, s: 8, e: 2, d: 1, z: 3, h: 1}. Give prob of picking 2 s.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -233*i - 186*i - 534*i**3 + 50*i**3 wrt i.\nAnswer: -2904*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 148590 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.2 + 0?\nAnswer: -66.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 311, 512, 725, 956, 1211, 1496, 1817, 2180?\nAnswer: 2591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10001011 (base 2) to base 11.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(2\/5))**(-43\/2)\/(((y\/y**1)\/y)\/(y*(y*y**(-2\/9)*y*y)\/y))*((y**(-1\/3)*y*y)**41)**(-8) assuming y is positive.\nAnswer: y**(-24817\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of 0*u + 5 - 2\/3*u**3 + u**2. Factor q(x).\nAnswer: -2*x*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 190*z**2 + 98*z**2 + 2*z + 126*z**2 - 121 + 123 as g*z**2 + i*z + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j and 1 h when three letters picked without replacement from jdhj.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*m - 14, 0*m - m = -3. List the prime factors of 1\/d*-6*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12)\/(-78) + 106\/(-13). Let w be (-2)\/k + 3740\/16. Let l be ((-3)\/2)\/((-27)\/w). Solve 5*p + 2 = -l for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 r when four letters picked without replacement from {p: 5, r: 9}.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 4:36 AM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -119 or -4\/13?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7153*h**2 - 6606*h**3 - 7155*h**2 + 6658*h**3.\nAnswer: 52*h**3 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(9\/((-162)\/(-9)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15107, 17380, 21167, 26468, 33283, 41612, 51455?\nAnswer: 62812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(1375) + (-5*sqrt(1375)*5 + sqrt(1375) - sqrt(1375))))\/((sqrt(180) - (sqrt(180) - (sqrt(180) + sqrt(180)*4)*-4))*5).\nAnswer: 6*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 2*u + 3*c + 98 = 0, 96 = -4*u - 2*c. Let d = -39 - -34. Let w(n) = -n - 6. Let a be w(-3). Sort a, u, d in decreasing order.\nAnswer: a, d, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + ((sqrt(304) + -4*sqrt(304))**2 + 5 - (-3 + sqrt(304) + -4)) + -5.\nAnswer: -4*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/432 and -77\/1404.\nAnswer: 5616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 513 + 5905*n**3 - 513.\nAnswer: 5905*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -g + 5*f, 5*g - f = -17 + 27. Solve 7*y - 20 = g*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 918, 925, 938, 957?\n\"Answer: 3*v**2 - 2*v + 917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3365 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 56018?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46395331369 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4821.\nAnswer: 3, 1607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 - 9*a + 4. Let y be (-4)\/(-20) + (-9)\/(-5). Suppose -18 = -4*i + y*i. What is the remainder when j(i) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-6 - (-1 - -5) - -4) + 117 + -89.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4305 + 12342504?\nAnswer: 12351213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:23 PM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9703 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -41*0.6\nAnswer: -24.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-2)*(-160)\/(-30). Suppose l*q = 12 + 84. Find the second derivative of q*u - 21*u - 21*u - 5*u**2 + 21*u**2 wrt u.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2759 and 2047?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w + 4. Let z(r) = 5. Calculate -4*t(u) + 3*z(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 27 = w, 2*w - 3*m + 5 = 24 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**2 + 0*h**2 - 2*h**2 + (-1 - h + 1)*(62*h + 136*h - 383*h).\nAnswer: 184*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q**5 - 54*q**4 + 249*q**3 - 102*q**2 - 1152*q + 1056 = 0.\nAnswer: -2, 1, 4, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -985*h - 5191.\nAnswer: -985","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -2, 55 in ascending order.\nAnswer: -2, -1, 4, 55","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 362 = 61*j + 57. Let n(x) = -x**2 - 5*x - 1. Let v be n(-3). Suppose g = v*q - 131, -j*q + 3*g = -4*q - 29. Does 10 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/2 and 29\/10892?\nAnswer: 10892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4\/9 + 4394*z**3\/9 + 83984*z**2\/9 + 496000*z\/9 + 283648\/3 = 0.\nAnswer: -8, -3, 2216","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 11 - 11)*(237*m + 874*m + 163*m + 874*m + 973*m - 235*m).\nAnswer: 5772*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 18. Let a = u + -2. Let z(m) = -m**2 - 5*m + 150. What is the smallest common multiple of a and z(-14)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-169)\/6591)\/(0 - (-2)\/12)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**3\/7 - 15336*t**2\/7 + 61380*t\/7 - 61392\/7 = 0. Calculate t.\nAnswer: -5116, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6 + -11.66. What is h rounded to two decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 7*z. Let w = 272 - 191. Let l(h) = h - 162 + 81 + w. Determine u(l(q)).\nAnswer: 7*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7277737115?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 583700827 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 154 - 109. Suppose -46 = 4*i - 94. Calculate the remainder when p is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**4 + 27944*i**3 + 784900*i**2 + 4684792*i + 3927840 = 0. What is i?\nAnswer: -20, -7, -1, 7014","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 6, -4, 41, -9, -13 in ascending order.\nAnswer: -13, -9, -4, 4, 6, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 14, b: 5}. Give prob of sequence bppp.\nAnswer: 455\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**3\/3 - 82*u**2\/3 - 146*u - 210.\nAnswer: -2*(u + 3)**2*(u + 35)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10 + 171a282?\nAnswer: 171a272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -38*i - 99. Let t(z) = -19*z - 63. Calculate -3*h(f) + 7*t(f).\nAnswer: -19*f - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00464119153 to three decimal places.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/432 and 62\/189.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -284 - -1068. Let h = 784.000862 - l. What is h rounded to four decimal places?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8166*g**2. Let m(o) = o. Calculate a(m(i)).\nAnswer: -8166*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the second derivative of 1\/18*m**4 - 1\/90*m**5 - 4*m + 1\/9*m**2 + 0 - 1\/9*m**3. Factor z(o).\nAnswer: -2*(o - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 4 - 7)*(-1926*p + 1 + 1931*p + 2).\nAnswer: -40*p - 24","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7330635 is divided by 333209.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f - f - 2*f + (0 - 2*f + 0)*(1 - 2 + 2) + 2*f + 3*f - 4*f - f - 9*f + 3*f + 4 + 5*f - 4 + (3 - 3 - 2)*(-4 + f + 4) - 1 + f + 1 + 1 - 1 - f.\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1289 and 19104269.\nAnswer: 1289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 1283624 = -206624. What is f rounded to the nearest 10000?\nAnswer: -360000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 5 + 2)*(8*k - 8*k + 52*k**2)*(-3*k + 2*k - k).\nAnswer: 208*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1890\/189*(-28)\/(-10).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5875 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/23451 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 828007*l**2 + 1073190*l + 2 wrt l?\nAnswer: 1656014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -81, -75, -57, -21, 39?\n\"Answer: g**3 - g - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((12\/(-18))\/1)\/((-2)\/12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*k**3*p + 9*k**3 - 28*k**2*p + k**2 - 492*k*p + 10*p wrt k?\nAnswer: -42*k*p + 54*k - 56*p + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -6*l + 5*p + 85, l = 2*p + 11. Let u = -1 - -5. Suppose -36 = -0*r - u*r. What is the remainder when l is divided by r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 - 4060*p**2 - 523929*p\/2 - 1425735.\nAnswer: -(p + 6)*(p + 59)*(p + 8055)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1994.8 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4839813 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12 - -12.2. Let w = s - 0.3. Is w greater than or equal to -1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 703 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(65) + (sqrt(65) - (sqrt(65) + 5*(sqrt(65)*-1 - sqrt(65)))))\/(3*(sqrt(5) - 3*sqrt(5))).\nAnswer: -11*sqrt(13)\/6 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.63 = 3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (-25 - 10\/(-2) - (-8 + 7))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4684?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/1 - (-16)\/2. Let z = q + 22. Suppose 91 = 5*s - z. Does 19 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.74 - 0.16. Let m = f + 6. Let s = m - 3.1. What is the closest to -2\/5 in -3, s, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that m**4 + 23*m**3 + 80*m**2 + 76*m = 0.\nAnswer: -19, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**5*j)\/(j*j**8) assuming j is positive.\nAnswer: j**(-12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-13) - 297\/1001. Let s = 20 + -24. Which is the second smallest value? (a) w (b) 3 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 11796 = -4119. What are the prime factors of t?\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11232 and 336736?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2.5 in -1, -4\/5, -4\/7, 0.5, 25\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 + 24*x**2 - 72*x + 15. Let g be f(19). Which is bigger: 449 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 162065024.1ns to weeks.\nAnswer: 0.00000026796465625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 2924 = u, 5*f + 2*u - 2005 - 2870 = 0. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 131317 - 51*t - 139027 + 53*t.\nAnswer: 2*t - 7710","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1967465 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qx when two letters picked without replacement from {v: 3, x: 1, q: 3, w: 4}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 85392947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 15707 - 311782303\nAnswer: -311766596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**3 + 6*i**2 + 102 - 82 - 3*i**3.\nAnswer: -42*i**3 + 6*i**2 + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -6*w**3 - 41*w**2 - 21*w + 100. Determine i(-5).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168*c + 109*c - 182*c.\nAnswer: -241*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -25 + 23.7. Let k = i + 1.201. Let q = k - 12.501. Round q to zero dps.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32212393 or -32212392?\nAnswer: -32212392","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-32 - -20 - (-9 - 2) - 17) + -13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 209409, 418824, 628237, 837648, 1047057, 1256464, 1465869?\n\"Answer: -g**2 + 209418*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 381, 283, 185, 87, -11, -109?\nAnswer: -207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19 + 18.97. Let h = v - 2.97. What is the second biggest value in 0.4, h, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14996.\nAnswer: 2, 23, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -21\/8, 34, -2\/3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of -43*f**6\/6 - f**3\/3 - 149*f + 378. Find the third derivative of d(k) wrt k.\nAnswer: -2580*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*m + 3*m = 0. Suppose m = 4*f + 2*j - 10, 0 = 3*f - f - 5*j + 25. Suppose f = -17*c + 2 + 83. List the prime factors of c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 10, 14, 18?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 9:53 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/12)\/(1*5\/(-3)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k - 7. Let f be g(-7). Suppose h = -0*h + f. Suppose -1420 = -3*n - h*n. What are the prime factors of n?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.3 - 4.7. What is the nearest to 1 in d, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67704376?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of 6*n**2 + 2*n - 1437. Let h(i) = -47*i - 9. Calculate -4*h(o) - 18*r(o).\nAnswer: -28*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in -0.7, 0.2, -5, 95?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 8778 and 1257762.\nAnswer: 8804334","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a hour in seconds?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 21287, 21277, 21263, 21245, 21223, 21197, 21167?\n\"Answer: -2*z**2 - 4*z + 21293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5329.742 tonnes to milligrams.\nAnswer: 5329742000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**(5\/3)\/l*l)*l*l**4)\/(l*l**(-2))**(-1\/16) assuming l is positive.\nAnswer: l**(205\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 0.3. Let x(w) = 2*w - 2. Let q be x(-1). Let k be ((-3)\/4)\/(18\/q). Which is the second smallest value? (a) 0.2 (b) r (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -364*t**3 + 1310*t**2*z + t**2 - 299*t*z + 7*t + z wrt t.\nAnswer: -2184*t + 2620*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -68*z - 47 - 89 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a tonne in kilograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*k - i - 2 + 475, 0 = 3*i + 12. What is the hundreds digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 421 + 428 - 6*s**3 - 849.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -6. Solve -2*v - 4*b + f = 0, -5*b + 4*b = -v - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 183890 = -5*g + 4*h, -3*h = -2*g + 73555. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.18 - 30.\nAnswer: -29.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -94569, -189143, -283717, -378291?\n\"Answer: -94574*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 48 - 48 + 18*s**2 + 4*s**2 - 10 + 10 + (-s - 2*s + s)*(0*s - 3*s + 4*s) + s**2 - s**2 + 3*s**2.\nAnswer: 23*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 31*m + 5. Let l(j) = -30*j - 4. Determine 4*a(n) + 5*l(n).\nAnswer: -26*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 25 = -17 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -11*y**3 + y**2 - 16*y - 60. Let w be l(-6). Round w to the nearest one hundred.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 - -16. What is the common denominator of 9\/12*(-250)\/l and 2\/7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 573.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*k + 29, -10*w - 31 = -2*k - 9*w. Calculate the remainder when 290 is divided by k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together 270441.1 and -211976.2.\nAnswer: 58464.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 952 and 1589672?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2958, -5943, -8928, -11913?\n\"Answer: -2985*k + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1214 - -817. Let l = -397.193 - d. Let w = 0.19300093 + l. What is w rounded to seven decimal places?\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9844245*a - 9 + 37 - 13 + 9844240*a - 15.\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -5 - -8. Suppose 0*g + 16 = -4*g. Let m = a + g. Which is smaller: m or -1\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16 - 22. Let a = 5 + s. Let g = 2 + -2. Put g, a, -2 in decreasing order.\nAnswer: g, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 62, -1\/8, -5, 605545?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from llmllllmlll?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58\/3 - -19. Let k be ((-4)\/30)\/((-2241)\/(-135) - 15). What is the nearest to -3 in n, k, -8, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19418 times 5?\nAnswer: 97090","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1455*a - 1182 = 1452*a. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 16*d**2 + 3*d + 13*d + d**3 + 3*d**3.\nAnswer: 4*d*(d + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 5*u**2 + 2*u - 8. Let p be d(5). Suppose i + 10 = p*z + 2*i, -2*z - 4*i + 10 = 0. Solve -z*h + 1 = -5*t - 9, 3*t + 7 = 2*h for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 1 = 4. Solve 0 = 3*s + n*v, 6*s = s - v for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 AM and 12:34 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 3*q**3 - 22*q**2 - 12*q - 14. Let g be a(8). Suppose -115*z**3 + 17*z**2 - 16*z**4 + g*z + z**5 + 96*z**3 - z**4 = 0. What is z?\nAnswer: -1, 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 549825450?\nAnswer: 2, 3, 5, 67, 54709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -8*z**3 - 6*z**2 + 28*z. Let t(l) = -65*l**3 - 50*l**2 + 225*l. What is -3*t(x) + 25*w(x)?\nAnswer: -5*x**3 + 25*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277075, 2216582, 7480973, 17732692, 34634183, 59847890?\nAnswer: 95036257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:58 PM and 9:44 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - d - 67 = 0, 0 = 2*d + 2330 - 1095 - 1141 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 9) + (4590\/3)\/3 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the third derivative of 0*s**3 - 1\/8*s**6 + 1\/42*s**7 + 0*s + 0*s**4 + 0 - 16*s**2 + 1\/6*s**5. What is l in a(l) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 29810 divided by -55?\nAnswer: -542","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 + 26. Let v = -9.5 - d. Let w = -1.97 + -0.03. Put 0, w, v in increasing order.\nAnswer: w, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -535*j + 530*j + 29 = 4. Sort 18, 1\/10, 4, j, 0.4 in decreasing order.\nAnswer: 18, j, 4, 0.4, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 PM and 4:55 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-1) - -65)*1. Suppose -q = -h - 11. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yypp when four letters picked without replacement from pyppypppppypyyyy.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -19315*n - 1023475. Calculate v(-53).\nAnswer: 220","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -1063*c**6\/15 - 739*c**3\/2 + c**2 - 2*c + 446. What is the second derivative of g(f) wrt f?\nAnswer: -25512*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y + 15. Let w be h(5). Suppose 0 = w*j - 14*j. Solve -3*x + x + 6 = j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**2 + 20*o + 99. Let b be l(-12). Suppose 0*h + 4*w = 3*h - 116, 0 = b*h + w - 136. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -285, 130, -2\/7, -2?\nAnswer: -285","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 18 = 4*r, -3*r + 0*r - 10 = 2*u. Let h = u + 41. What is the highest common factor of h and 234?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 8) to base 4.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 594 and 3?\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*m**3 + 5825218*m**2 - 848328536166*m - 169665940242 = 0.\nAnswer: -1\/5, 291261","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -2625143 (base 7) to base 5\nAnswer: -41431422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 11*w**2 + (2 - 2 + w)*(-6*w + 5*w + 5*w)*(8 + 10 + 13).\nAnswer: 135*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 + 27 + 226 = -20*m for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a42 (base 14) to base 13.\nAnswer: -bc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*p - 33*p = -15. Suppose -g - 33 = -3*a - 4*g, 36 = p*a + 4*g. Is 5 < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1107*o - 1054*o + 18 = -6*u, 4*o = 4*u + 12 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -115.34 - -113. Let y = z + -0.06. Let v = 0.4 + y. Is -0.1 at least v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 252793*p - 27 = -252796*p, 4*i + p = 15 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-8)\/20)*2. Suppose 0 = -l*a + 42 + 23. Calculate the greatest common factor of 143 and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1.2 in -2\/13, -1, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72441330.\nAnswer: 2, 3, 5, 13, 185747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 64658, 64656, 64654?\nAnswer: 64652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5913, 4986, 3413, 1200, -1647, -5122, -9219, -13932?\nAnswer: -19255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2893 is divided by 1071.\nAnswer: 751","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 17*c - 109. Let i = -6 + 16. Is 7 a factor of p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -572535089, -572535088, -572535087, -572535086, -572535085, -572535084?\nAnswer: -572535083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45364?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 + 1 + 3)*(-u**4 - u**2 + u**2) + 190*u**4 + 29*u**4 + 251*u**4 to the form x*u**3 + y*u**2 + k + i*u**4 + z*u and give i.\nAnswer: 471","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 210 + -12221201101?\nAnswer: -12221200121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5632270 or -5632255?\nAnswer: -5632255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-h**5 + h**5 - 2*h**5) + (2*h**3 + 0*h**3 + 0*h**3 + (2 - 1 - 3)*(0*h**3 + 2*h**3 - 4*h**3))*(0*h**2 + 7*h**2 - h**2).\nAnswer: 38*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1194.1 minus 0?\nAnswer: 1194.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -57.14 + 57.1. Sort 3, d, 2, -0.5 in decreasing order.\nAnswer: 3, 2, d, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(80)*-3)*-2)**2 - (4 + (-1*sqrt(720))**2)*4.\nAnswer: -96*sqrt(5) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**5\/3 - 6*o**4 + 44*o**3\/3 - 4*o**2 - 46*o\/3 + 10 = 0. Calculate o.\nAnswer: -1, 1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8793240 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*x + 2*i + 94 = 2*i - 5*i, -6*i + 3*i = -x - 26 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 18 + 22 = 0, -3*q = j - 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4006 + -4106. Let l = 235 - 106. Let d = l + z. Which is bigger: d or -1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5903*l + 5899*l - 8 = 5*f - 3*f, 0 = 4*f + 5*l + 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h - 9. Let g be j(-11). Suppose 2*b = -m + 200, g*b - 3*b + 90 = -2*m. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 8*j - 177. Let x be y(23). Suppose x*c = -10*c + 2*c. Solve z + 10 - 14 = c for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 2*l. Suppose -5*v + 2*v = l. Suppose d - 5*p = -3*p - 5, d = -5*p + 23. Solve d*u + v = 3 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 + 6\/39 + 111\/39. Let j(i) = k*i**2 - i**2 - 6*i - 9 + 2 + 0*i**2. What is the units digit of j(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -42*((-36)\/(-28) + -3). Let j = i + 3. Is 24 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**3 - 2*k**3 - k**4)*(13 + 11 - 25 - 12*k)*(1 - 2 - 4)*(7 - 3 - 3).\nAnswer: -60*k**5 - 5*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2*n. Let t(k) = 2*k. Suppose -5*o = -0*o + 15. Let l = 8 + -3. Let j(h) = h. Let c(y) = l*j(y) + o*t(y). Determine a(c(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.1866697kg?\nAnswer: 186669.7","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 9 = 2*q + 3*l, 5*l = -q - 2. Factor -r**3 - 2 + 4*r**3 + q*r**2 + r + 2 + r**4.\nAnswer: r*(r + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2864 - -1113. Which is the third smallest value? (a) -5 (b) -1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6842 = -1352*v + 1350*v. Calculate the greatest common divisor of v and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*p - 41 - 37. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 5?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 1:01 AM?\nAnswer: 5:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -132313201 (base 4) to base 9\nAnswer: -212381","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26631143 and 1078.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*a**4\/5 - 23632*a**3\/5 - 93070692*a**2\/5 - 122139755712*a\/5 + 122232850038\/5.\nAnswer: -2*(a - 1)*(a + 3939)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 5703\/5638?\nAnswer: 5703\/5638","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1424035 (base 6) in base 14?\nAnswer: -2186b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -193, -765, -1719, -3055, -4773?\n\"Answer: -191*b**2 + b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1384311869?\nAnswer: 1549, 893681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, t: 1, s: 5, f: 1, n: 7}. Give prob of picking 1 n and 2 e.\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*x + 1 - 1 + 0*x + 78*x to j + t*x and give t.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -104*v + 1182 = 213*v + 40*v + 37*v. Let q(y) be the second derivative of y**4\/12 - y**3\/2 + y**2 - y. Give q(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -3, 5, 39, 117, 257, 477?\n\"Answer: 3*w**3 - 5*w**2 + 2*w - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 5*q**2 - 4*q + 10. Let j be h(5). Let o be (-3)\/j*(-45)\/(-162). Let t = 1 - 1. Which is the third smallest value? (a) t (b) o (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -224d8 (base 15) to base 2.\nAnswer: -11010101000101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 4, x: 6}. What is prob of picking 3 x?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s**3 + 7*s**2 - 45*s - 130. What is the remainder when 32517 is divided by z(-10)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 2 p, and 1 n when four letters picked without replacement from ssppspvslillssnp?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 12*k - 8*k = -4 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 14 = 2*g. Suppose g*c + 4 = 24. Suppose c*y - 45 = y. Solve y*q = h + 23, 2*q = h + 3 + 5 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -672743 or 0.26?\nAnswer: -672743","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6309, 12507, 18595, 24573?\nAnswer: 30441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 8*r**2 + 43*r + 3. What are the prime factors of n(-22)?\nAnswer: 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 146691 + -263163623\/1794. Find the common denominator of 109\/144 and n.\nAnswer: 43056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -5808*i**5\/5 + 132264*i**4\/5 + 50409*i**3 - 1892322*i**2\/5 - 304479*i + 1428840 = 0.\nAnswer: -3, 105\/44, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*o - 22*o - 5*o + (2 - 5 + 4)*(7 + 2*o - 7))*(-o**2 + 5*o**2 - o**2)*(-3*o - 4*o + 5*o) as h*o**3 + q*o + d*o**2 + b + g*o**4 and give g.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 200*w**2 + 246*w + 508. What is f(-2)?\nAnswer: 816","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 9007.\nAnswer: 45035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 1042838*r. Let o(f) = -6*f. Give o(u(d)).\nAnswer: -6257028*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -3*n. Let o(t) = -2 - 8 - 3*t**2 + 13 - 12. Calculate y(o(h)).\nAnswer: 9*h**2 + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 191230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-11)\/(-5 + (-8)\/(-2)). Solve -1 + n = 3*q - c, 3*q - 22 = -5*c for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.33 - 1.64\nAnswer: -1.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 3:04 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -970*f**4 - f**3 - 9*f**2 - 31921*f.\nAnswer: -11640*f**2 - 6*f - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 2. Let p be r(-4). Suppose -2*t = -2*g - p*g + 4, t = 0. Suppose -3*o + 5 + 1 = 0. Sort g, o, 0 in ascending order.\nAnswer: 0, g, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a = a. Let y(s) = -s**3 - 2*s - 5. Let g be y(a). Is 1 at most g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j = -38*j - 30*j + 150. Which is the fifth biggest value? (a) 1\/7 (b) 5 (c) 0.5 (d) 2\/3 (e) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517.5125 millilitres in litres?\nAnswer: 0.5175125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**2 - 8*z + 4. Let s be -3 - (-11 - 2\/1). Let x be c(s). Suppose -x = -f - 3*b, 10 = 3*b - b. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333246392.\nAnswer: 2, 41655799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 1446*a**2. Let q(k) = k. Give b(q(s)).\nAnswer: 1446*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (11 + -2) - (0 + (-6 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 15279, 11250, 7221?\n\"Answer: -4029*w + 19308","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = q + 20. Calculate the remainder when 51 is divided by a(6).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - -112518?\nAnswer: 112518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-260)\/(-70))\/(-13)*21\/(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -0.55?\nAnswer: -2.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*r**2 - r**2 - 3*r**2 - 59*r**3 + 88*r**3 - 1 - 2*r to the form g*r + z*r**3 + v + l*r**2 and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 105823?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15 - -13. Let o(t) = 17*t + 1. Suppose 5*y = -3*r + 193, -2*r + 5 = 3*r. Let l(n) = 21 - 4*n - y + 17. Calculate c*o(a) - 9*l(a).\nAnswer: 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14.1 + -14. Suppose -2*z - 5*v + v + 10 = 0, 1 = -z + 4*v. Suppose t = -4*p - 10, -z*t = 2*p - p + 8. Sort t, b, -1\/4 in ascending order.\nAnswer: t, -1\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 8*m + 208. Let r be s(-27). Let z(t) = -62*t - 63. What are the prime factors of z(r)?\nAnswer: 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y**2 - 238023680*y - 3540954515046400 = 0. What is y?\nAnswer: -29752960","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = -2311*j + 2316*j - 80, 0 = 4*x - 3*j + 47 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9.9 - 9.82. Let m = i - 1.78. Which is the third biggest value? (a) 1\/4 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 132245 and 1435.\nAnswer: 133680","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 599 + -593. What is the nearest to 2\/5 in -1, l, 6\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 1217*q = 2442*q - 1221*q - 58, 3*q = -v + 47 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11880*z**2 + 11867*z**2 - 23771*z**2.\nAnswer: -24*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*f = -801 + 351 + 370 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/10, -2056\/16727, 3, -2?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 13\/1202?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, -1, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 180, 333, 482, 633, 792, 965?\nAnswer: 1158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -0.018566\nAnswer: -0.074264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -1707*v - 44. List the prime factors of w(-2).\nAnswer: 2, 5, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 160*u + 987. Give x(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(-3)\/k*k*k**(2\/7)*((k\/k**1)\/k)**44*((((k\/(k\/k**2))\/k)\/k*k)**(-27))**36 assuming k is positive.\nAnswer: k**(-7131\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 (base 6) in base 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (z**2 - 2*z**2 + 0*z**2)*(0*z - 4*z + 2*z) + (-5*z + 4*z - 3*z)*(z - 3*z**2 + 5*z**2 + 0*z) to x + g*z**3 + u*z**2 + b*z and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 divided by -30?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -28*y + 424. Calculate the remainder when p(-38) is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 13 = 5*j - 2, -5*z - j = -3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -182 - -912\/5. Put 2, -5, 2\/17, y in increasing order.\nAnswer: -5, 2\/17, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 69 divided by -75806\nAnswer: -69\/75806","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -r**8\/672 + r**7\/420 + r**6\/240 - r**5\/120 + 53*r**2. Factor y(v).\nAnswer: -v**2*(v - 1)**2*(v + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/931 and 11\/2164708.\nAnswer: 15152956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1392325, 1392330, 1392339, 1392352?\nAnswer: 1392369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 3 - 3)*(-2 + 4 + 2)*(-q + 0*q + 2*q).\nAnswer: 16*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -30073*z - 29920. Give s(-1).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 times 72.2865?\nAnswer: 3542.0385","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32c (base 15) to base 11.\nAnswer: -5a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(363)*2)**2*2 - 4*(sqrt(90)\/sqrt(6))\/sqrt(5)).\nAnswer: -4*sqrt(3) + 2903","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90 - 94. Let d(z) be the first derivative of z**3\/3 - 5*z**2\/2 - 8*z - 2. What is the tens digit of d(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gt when two letters picked without replacement from prrrrtrtttgrrttgtlg?\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2759, 6263, 9757, 13241, 16715, 20179?\nAnswer: 23633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2*o - 2)*(o**4 - o**4 + o**4) - 3*o**5 + o**5 + o**5 + o**5 - 1 + 1 - 3731*o**5 - 763*o**5 + 133*o**5 + 567*o**5.\nAnswer: -3796*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.047 + -3.847. What is z rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*n**2*w**4 - 2*n**2*w - 51*n*w**4 + 1543*w**2 wrt w?\nAnswer: 216*n**2*w - 1224*n*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -8305 + 8305 + 148*t as u + k*t and give k.\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 50 and 2550.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 99 and 781?\nAnswer: 7029","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of 27*t**3\/2 + 57*t. Let g(q) = -q**2. What is w(g(d))?\nAnswer: -81*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-2) - (9 + 1). Let c = 15 + z. Solve 3*y = -y + c*g - 33, -5*y + 3*g - 25 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h + 4504 - 4504 + 5*h.\nAnswer: 12*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -21\/400 and -51\/8560?\nAnswer: 42800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -279 - -287. Let i(b) = 3*b**2 + 24*b - 68. What are the prime factors of i(y)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r**3 - 6*r**2 + 6*r - 4. Let g(d) = -8*d**2 - 6*d - 9. Let h be g(-8). Let z be (-1)\/(-6) - h\/(-66). What is n(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/11 (b) 2 (c) 1\/5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 209496\/308 - (-18)\/(-99) is divided by 338.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83 - 81. Suppose -x*t - 16 = -4*o, 1 = 5*t - 9. What is the units digit of (1 - 0 - -68) + o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/7 - 38*b\/7 - 156\/7.\nAnswer: -2*(b + 6)*(b + 13)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 114 divide 2887392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*k + k - 6*k + (-k + 2*k - 8*k)*(-1 - 2 + 1).\nAnswer: 11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -46637?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(40)\/sqrt(8) - sqrt(5)) + sqrt(5) + -2)**2 + 5.\nAnswer: -8*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1\/6)\/(18\/27). Let y(v) = -4*v. Let h be y(1). Let u be 6\/((-3)\/(-1)) + h. Which is the nearest to 1? (a) w (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 101494 and 1395?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 5*k + 1\/6*k**3 + 1\/2*k**4 + 0*k**2 - 5. Let q(u) be the first derivative of p(u). What is q(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -28*((3 - 1) + 2). Let t be 1\/((20\/(-325))\/4). Let o = t - a. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7188 is divided by 997?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -410*b**2 + 1188*b + 135. Calculate u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the second derivative of 0*z**2 + 0 - 55000\/3*z**3 - 2*z. Let r be b(-5). Round r to the nearest one hundred thousand.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwucrcqqqwwrqwqqqsqw. Give prob of picking 1 w, 1 s, and 1 u.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1*sqrt(78)*-2 - sqrt(78))\/((sqrt(216)\/sqrt(4))\/sqrt(9)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**2 - 19*x + 24. Let z be r(17). Let f be 52 - z*(-2)\/5. What is the remainder when -1 + 120\/(-9)*f\/(-10) is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 440 - 247. Let q = t - 148. Factor 2*o**2 + q*o + 195 + 197 - 16*o + 27*o.\nAnswer: 2*(o + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 288464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*c + 58 = 0, 2*q = 7*q - 5*c - 95. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q - 2*q = 2*x - 6, 0 = -3*x - 3*q for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 670771739\/1560 - 429982. Find the common denominator of v and 68\/585.\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10392*f**2 + 33*f - 116.\nAnswer: -20784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 6351 and 6.\nAnswer: 12702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3bdfb (base 16) to base 2\nAnswer: 111011110111111011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 202*p - 3. Let d be (1\/(-1) - 0)\/(-7 + 6). What is the tens digit of x(d)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -518 - -2?\nAnswer: -516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:43 PM and 7:50 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Do 463051 and -178 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 8 = 0, -3*o + 6*n = 3*n + 18. Let h be ((-2)\/(-6))\/(o\/(-60)). Suppose -h*v + 47 = -3. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 436 is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 5*i = 625, -6*i - 499 = -4*r - i. What is the hundreds digit of r\/(-21)*3\/(6\/(-109))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-697)\/615)\/((-3)\/(-6)))\/(10\/(-126)). Which is smaller: 29 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 51. Let w(o) = -o**3 + 6*o**2 - 7*o - 2. Let p be w(t). Let v be 4\/p - (-4)\/12. Solve 2*f + 6 = b - 1, -4*f - 20 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -665*m - 385. Let d(g) = 35*g + 20. Let w(p) = 77*d(p) + 4*j(p). Let l(x) = 4*x. What is l(w(o))?\nAnswer: 140*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = o + 10, -5*l + 2 = -4*l + 4*o. Let c = -955 - -955. Differentiate -4 + 6*s**2 + 8 + c*s**l + 4 with respect to s.\nAnswer: 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 77 * -190.\nAnswer: -14630","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 - -162. Suppose -481 - h = -6*q. What are the prime factors of q?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 135192 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 204 and 7089.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*d**2 - 310566960*d + 4822591832182080.\nAnswer: 5*(d - 31056696)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*g - 18 = 84 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68287, -68967, -70105, -71701, -73755?\nAnswer: -76267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) be the first derivative of q**4\/22 - 2*q**3\/33 - 9*q**2\/11 + 18*q\/11 + 383. Determine x so that f(x) = 0.\nAnswer: -3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -2136, -2233, -2328, -2421?\nAnswer: -2512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1943 + 5239 + 2621 = -97*x for x.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -367*z + 716*z - 348*z.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 PM and 10:12 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*x + 22 = -2. Suppose -x*g = -3*p - 2*p - 5, 0 = -4*p - 4*g - 40. Sort p, 4, 5.\nAnswer: p, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 PM and 12:12 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in 2, -2, -12?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*-69*2*(309\/721)\/(18\/(-28)).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-2)*o)**11*o**8\/o**(-1\/2))\/(o**(-3\/10)*o\/o**(-1)*o*o\/(o*((o**(-2\/17)\/o)\/o)\/o)*o**(-2\/13)*o) assuming o is positive.\nAnswer: o**(-10126\/1105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxz when three letters picked without replacement from {k: 2, x: 3, z: 3}.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1410.06 + 1410. What is the third biggest value in 19, -2\/15, g, -2\/3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -13 (b) 1\/2 (c) 1 (d) -0.09 (e) 12\/61 (f) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 19*i**2 + 4*i - 23. What is v(-20)?\nAnswer: 297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -13. Let h = 41 + -51. Let q = h + d. Solve -q*j = 5*c + 10, c - 4*c = 5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 116\/(-290) - (-38)\/20. Factor -j*u**2 + 3*u - 3\/2.\nAnswer: -3*(u - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129797278.\nAnswer: 2, 13, 17, 293659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 1 = -3*c, 6*v = 3*v + 3*c + 3. Suppose 5*n = v*n + 99. Let z = n - 9. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 132288312 to the nearest integer?\nAnswer: 510","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 298201367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 472797.\nAnswer: 3, 13, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from ywedezdeerddrrzrzr?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17673, -17662, -17651, -17640, -17629?\nAnswer: -17618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -265034 and 0.016.\nAnswer: -265033.984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 4 (b) -1 (c) -1\/23 (d) -3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 4 + 343\/(-315) + -5 and 49\/75.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*k*n**3 - k*n**2 + 1530*k*n - 3*k + 38*n**3 - 15*n**2 - 87*n + 5 wrt n?\nAnswer: -1014*k*n - 2*k + 228*n - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -13*i - 16. Calculate d(-3).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.1962 * 0.1\nAnswer: -0.01962","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -122*a**5 + 25*a**4 - 2520*a**3 - 9675*a**2 - 475*a?\nAnswer: -7320*a**2 + 600*a - 15120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -20, -0.313, 5, 38?\nAnswer: -0.313","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119)\/sqrt(112) + 4 + (sqrt(17) - sqrt(17)*-2))**2.\nAnswer: 26*sqrt(17) + 3129\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.023 - -3.977. Let h = 257\/1012 + -1\/253. Which is the nearest to 18? (a) x (b) 1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8252 + 8307.39. Let i = -55.3900004666 + r. Round i to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72*4*(-5)\/40*(-107)\/2247?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2983 + 2998. Let z be (-10)\/(-55) + (-2)\/11. Solve z = 16*h - p*h + 4 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z. Let q(y) be the second derivative of -y**3 + 15*y. Give u(q(t)).\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**3 - 32*n**2 + 9*n + 769. Give u(31).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 73 + -71. Suppose -v = 2*f - 4*t, 4*f - 5*f - 2 = -3*t. What is the closest to 0 in 2\/11, 3, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3457 greater than 20.51?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16740 and 52917?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 7 = -2*f + 2*g, -f - 3 = 5*g. Let z be (-27)\/12 + f\/(-1) + -1. Which is the smallest value? (a) -4 (b) -16 (c) -0.4 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -321, -1641, -4317, -8697, -15129, -23961?\nAnswer: -35541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 2*q + 23063. Let i(t) = -t. What is i(c(x))?\nAnswer: -2*x - 23063","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8291*h = 8319*h - 9072. Calculate the greatest common factor of 20574 and h.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.06 in -0.4, -0.01, -3, -1?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/132)\/((-7)\/(-224)*8).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2626 divided by 2.\nAnswer: -1313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -180304, -360611, -540916, -721219, -901520, -1081819, -1262116?\nAnswer: -1442411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q**3 - 16*q**2 - 14*q + 21. Suppose -32 = 3*f - 108 + 40. What is the remainder when f is divided by x(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -32649, -63793, -94937, -126081?\nAnswer: -157225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57 - -132. Let t = 141 - y. Let v = t + -65.999942. Round v to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 38.09622 nanograms?\nAnswer: 0.03809622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(36)\/(-1*sqrt(192) + sqrt(12)) + (-2*sqrt(12))\/sqrt(4) + 1 + 0)**2.\nAnswer: -14*sqrt(3)\/3 + 52\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*w**2 - 95*w - 2*w**2 - 3 + 6*w**2 - 2*w**2 in the form x*w + t + f*w**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 36869208*b - 73738428.\nAnswer: 3*(b - 12289738)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -28522, 1, 18.5, -7\/2 in descending order.\nAnswer: 18.5, 1, -7\/2, -28522","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*w + 1946*w**2 - 1943*w**2 + 11*w)*(w**2 + 4 - 4 - 2*w) to r*w**4 + x*w**2 + v*w + o*w**3 + d and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence phf when three letters picked without replacement from fpfhxlxh?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = -140*u**2 - 454*u + 427. Let y be t(-4). Let -6\/5 + 1\/5*h**4 - 3\/5*h**3 - 17\/5*h - y*h**2 = 0. Calculate h.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.8*3374.\nAnswer: 2699.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(1\/4)*w*w\/w**(-23)*w*w*w*w**(-24)*w*(w*w\/(w\/((((w**(-8\/9)\/w)\/w)\/w)\/w)))\/w assuming w is positive.\nAnswer: w**(13\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4\/1 + 12*(-1838)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(288) - sqrt(288))**2 + 1)*-2 + 5.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2 (b) -3 (c) -0.5 (d) 163\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 10708, 5 in descending order.\nAnswer: 10708, 8, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**3\/21 + 100*v**2\/21 - 208*v\/21 = 0.\nAnswer: -52, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 24 + -4. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = -8 + 23. Let s(z) = 3*z - z + 1 - v*z. Let l be (-26)\/10 - 2\/5. Let m(h) = -1. Calculate l*m(p) - 2*s(p).\nAnswer: 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 4*p - 14. Let s(c) be the first derivative of 0*c**2 - 1\/3*c**3 + 23 + 0*c. Determine d(s(t)).\nAnswer: -4*t**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2*(-9)\/(-12))\/(-3). What is the nearest to q in -1, -4, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21*c**2 + 21*c**2 + c**3)*(c + 4*c - 4*c) + 3*c**4 + 6*c**4 + 3*c**4 to the form k*c**4 + u*c**3 + h*c**2 + a*c + l and give k.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6875090 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: 11 (base 4) to base 5\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.8 + 5. Let g = x + -1.8. Which is the nearest to -0.4? (a) -2 (b) g (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i*i\/(i*i**(4\/7)*i)))*((i**(1\/8)*i)\/i)\/i)\/((i**(-2\/3)*i)\/i**7))\/(i*i**(4\/5)*i*i**(2\/7)*((i\/i**(1\/3))\/i)**(1\/7)) assuming i is positive.\nAnswer: i**(611\/280)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 6*u - 2. Let g(c) = -c. What is -g(z) - h(z)?\nAnswer: -5*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 1400 = -56*i + 146 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -1685*f + 1690*f + 10*k, -3*f - 55 = -4*k for f.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 2\/9, 44\/43, -4, -47?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**2 + 3933*i - 62591790 = 0.\nAnswer: -5270, 3959","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3197 and 1938 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2 + 5)*(-6*a + 0*a + 4*a) + 0 + 0 - 2*a)*(7468*a + 109*a**3 - 7468*a).\nAnswer: -436*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 15) in base 4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 3*b**2 - 2*b - 3. Let n be w(-2). What is the second derivative of 19*z**5 + 18*z - 7*z**5 - 2*z**n wrt z?\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 117 - 84. Let i = b + -19. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -546 * 4\nAnswer: -2184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5563 (base 9) in base 12?\nAnswer: 2463","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 86330 and 14259?\nAnswer: 12690510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 22*y + 40 = 0. Suppose -3*r + y*j = -18, 6*r = 2*r + 3*j + 24. Calculate the greatest common factor of r and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*b**2 - 2*b**3 + 35*b**2 - 1)*(2145 + 4263 - 2110 + 1534) in the form p + a*b**3 + d*b + h*b**2 and give a.\nAnswer: -11664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 802\/23 or 36?\nAnswer: 802\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -267*t - 3. Let m be q(-1). What is the highest common divisor of m and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 4*d + 7. Let m be j(-5). Suppose 3*h - m = h. Let u be (-22)\/6 + h\/(-3). What is the closest to -1\/3 in u, -0.3, 0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -221220 (base 3) in base 14?\nAnswer: -37d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -67*a**2\/2 + 267*a + 257. What is the first derivative of q(f) wrt f?\nAnswer: -67","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -590 + 591. Which is the closest to 1\/2? (a) -2\/3 (b) k (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*z + 4*z**2 - 2 + z**2 + 0*z.\nAnswer: 5*z**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -2*f**2\/3 + 102*f - 588 = 0?\nAnswer: 6, 147","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 501 + 3 + (-5 - -2). Suppose -4*c + 0*c = 5*b - p, c = -1. What are the prime factors of b?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6867 is divided by 97.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1228388, -1, 0 in ascending order.\nAnswer: -1228388, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/122558595 or 1?\nAnswer: -2\/122558595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2512 - 2508. Let w(m) be the first derivative of 15\/4*m**d + 0*m**2 + 0*m**3 + 6*m - 11. Differentiate w(r) with respect to r.\nAnswer: 45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 46\/(-14) + (-2)\/(-7). Let h(j) = j**3 - 18*j**2 + 45*j + 5. Let g be 12 + 6 + -1 + -2. Let s be h(g). Put s, v, -4 in descending order.\nAnswer: s, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 24, 1029, 2716, 5097, 8184, 11989?\n\"Answer: 2*a**3 + 329*a**2 + 4*a - 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 12 = 2*r. Suppose -2*i + r - 8 = 0. Solve 5*q = i*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 236, 232, 228?\n\"Answer: -4*k + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009917638 to six dps.\nAnswer: -0.000099","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.4 (b) -12 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 18.6*3.4432\nAnswer: 64.04352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 70334*d**5 - 41888*d wrt d?\nAnswer: 1406680*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tdy when three letters picked without replacement from mtyddrmmrymqmmm?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + 15*n + 4. Let i(b) = -b**3 + 6*b**2 - 19*b - 3. Let x(z) = -4*i(z) - 5*k(z). What is x(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-6*((2 + sqrt(1573) + 5)**2 + 4).\nAnswer: -19512 - 1848*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*a**2 + 1\/2*a + 1.\nAnswer: -(a - 2)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -28b (base 14) to base 3.\nAnswer: -201002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -z**2 + 11*z - 18. What is q(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 203, 2, -4060?\nAnswer: -4060","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:41 PM and 1:40 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 32163 + -32218.0042. Let t = v + 55. Let g = -0.013 + t. Round g to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 204 = -2*c - 31, -4*c + 307 = 3*o. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9613148 minutes?\nAnswer: 57678.888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 83 + -36. Let r = 46.9 - w. Let m be (-10)\/(-2) - 9\/3. Sort -4, m, r in decreasing order.\nAnswer: m, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53 - 57. Suppose -2*h - 19 = -4*p + 9*p, -6 = 3*p + 3*h. What is the closest to -21 in -0.3, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/15)\/(252\/(-280))*(234\/(-124))\/13?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -221 - -223. Solve -b*s + s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -3*v**3 + 4*v**3 - 3*v**2 - 2*v**3 - 3*v + 2 + 2*v**3. Let z(x) = 2*x**2 + 40*x + 41. Let n be z(-19). Give b(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -3*t**2 - 1. Let y = 60 + -61. Calculate n(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -20440 and -1206022\/59 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 3:28 PM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**2 - 8*a + 8. Let r be (-3 + -39 - -1)*-1. Let p = -34 + r. Calculate x(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0200022 + -0.02. What is g rounded to six decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 695, 1391, 2087, 2783?\n\"Answer: 696*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y. Let j(v) = -8*v + 194. Let g(u) = j(u) - 6*o(u). Let q be g(-42). Solve q*c = 27*c - 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40890091 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -9*h**3 - 35*h**2 - h - 12. Let g be s(-4). Calculate the greatest common divisor of g and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 36, 0, -618 in descending order.\nAnswer: 36, 0, -6, -618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1305445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 528\/64 + (-45)\/20. Let d(j) = -15*j**3 + 50*j**2 + 2*j - 11. Let k(v) = -8*v**3 + 25*v**2 + v - 6. Determine r*d(m) - 11*k(m).\nAnswer: -2*m**3 + 25*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -125*c**2 - 6. Let f(d) = 228164*d. What is f(a(h))?\nAnswer: -28520500*h**2 - 1368984","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -4 + 3*o + 33*o**2 + 1 + 41*o**2. Is p(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) - (sqrt(90) + (sqrt(90) - (sqrt(90) - (sqrt(90) + sqrt(90) + -1*sqrt(90)*1)))))\/(-3*sqrt(25)\/sqrt(5)))\/((sqrt(72)*-2*-3)\/(-2*sqrt(968))).\nAnswer: -11*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5810 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -8 - -78. Let g = 183 - r. Suppose -j = -g - 2. What are the prime factors of j?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = 3*b - 77, -101*b + h = -99*b - 35. Solve 47*m = b*m + 33 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 - 7*l - 3. Let m be z(-4). Suppose 0 = -k - h + m, -2*k - k - 5*h + 29 = 0. What is the highest common divisor of k and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -2*b. Let q(h) be the first derivative of 107*h**3\/3 - 35. Determine g(q(d)).\nAnswer: -214*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/17 (b) -5 (c) 5132\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0.165 * 0.1\nAnswer: 0.0165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2581.8 + -2582.1. Let w = 48 + -383\/8. Which is the second smallest value? (a) -3 (b) 4 (c) w (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**2 + 0*j**2 + 2*j**2 + (j**2 - 2*j**2 - j**2)*(1 - 2 + 2))*(1 - 1 + j**3).\nAnswer: j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*q - 147 = 87*q. Let w be (q\/9)\/((-7)\/(-3) - 2). What is the greatest common factor of w and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.446879 centimeters to micrometers.\nAnswer: 4468.79","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 15*h. Let z(d) be the second derivative of -3*d**4 - 3*d**2 + 6018*d. Give z(v(n)).\nAnswer: -8100*n**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -124, 2\/25, 0.1 in descending order.\nAnswer: 0.1, 2\/25, -5, -124","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 2*c - 7 = 0, 4*c = k - 3*k + 26. Let l(y) be the second derivative of -1\/6*y**3 - 3\/2*y**2 + 0 + 6*y. Calculate l(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*q**5 - 17520859*q**2 - 247*q - 249701?\nAnswer: -80*q**3 - 35041718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 308939303 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -3*r**2. Let k(l) = 3*l + 1266. Give w(k(o)).\nAnswer: -27*o**2 - 22788*o - 4808268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 14. Suppose u*h = -0*h. Solve 4*i + f + 14 = h, 0*f - 5*f + 22 = -3*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**2 + 2*o + 2. Let f(p) = -4*p**2 - 13*p - 59. Let z(i) = -f(i) - 5*w(i). Let v be z(9). What is the nearest to v in 3\/2, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1501 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 112061969 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 2. Suppose 0 = -h*r + 5*r. Suppose r = -3*f, 3 = 2*g + 5*f - 3. Solve -g*v + 13 = 2*d, -4*v + 6 + 12 = 3*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, -27, -55, -101, -171, -271, -407, -585?\nAnswer: -811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -10054 + 10054.55262. Round b to 1 dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-3 + -1*sqrt(13) + 1 + (sqrt(13) - sqrt(78)\/sqrt(6) - sqrt(13))))**2.\nAnswer: 128*sqrt(13) + 896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -31. Let q = p - 26.03. Let x = 0.43 + q. Sort 3, x, -2 in increasing order.\nAnswer: -2, x, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3 = 3*n, 3*n + 16 = 1. Let b be (-2)\/(-4) + (-66)\/g. What is the units digit of 0 + (-30)\/(b\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -349*j + 339*j = 30 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -855*m + 25. Let l(j) = 857*j - 21. Give 6*l(p) + 5*s(p).\nAnswer: 867*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*i - 2*i**5 + 2*i - 4*i**5 + 2*i**5 + i**5 + (-2*i**3 - i**3 + 4*i**3)*(7*i**2 + 11*i**2 - 5*i**2) - i**3 - 2*i**5 + i**3.\nAnswer: 8*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/11 and 89\/428?\nAnswer: 4708","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**3 + 23*k**2 + 12*k + 8. Let x be q(-11). Sort x, -0.5, 4, 6.\nAnswer: x, -0.5, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -93*m - 121. Let t(r) = -5*r. Calculate t(h(g)).\nAnswer: 465*g + 605","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Let b = 1 + t. Which is smaller: b or 0.3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v - v + 3*v - v + 2*v - 2*v + 2*v - 6*v + 2*v + (5*v - v - v)*(2 - 1 + 1) + 0 - v + 0.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 4*k + 44336 = 0, 9*k - 12 = 12*k. What are the prime factors of i?\nAnswer: 2, 5, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10142786*r**3 + 11854674*r?\nAnswer: 60856716*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -2*y - 14. Let t be s(-10). Let k = 11 - t. Let c = 3 - 0. What is the remainder when k is divided by c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3602612 to the nearest integer?\nAnswer: 1898","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*h, 2041*g - 2*h - 168 = 2037*g. Solve -28*x + g = -39 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(13) - sqrt(13)*4))**2 + 5.\nAnswer: 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 100*m + 29. Let h be u(-23). Does 27 divide h\/(-12) + (-12)\/48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 + 11*a**2 + 9*a - 13. Let x be b(-10). Let y be (x - -4) + 1 - -166. What is the greatest common factor of y and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13886.2 - 0.2\nAnswer: 13886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 545?\nAnswer: 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = m - n + 10, 5*m - 3*n = 19. Suppose 4*h - m*h = 94. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j. Let r(z) be the second derivative of 0*z**2 + 1\/12*z**4 + 0*z**3 + 0 - 35*z. Give c(r(g)).\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u = 16864*l - 16863*l - 12, -3*u = -2*l + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gp when two letters picked without replacement from {h: 3, g: 1, y: 1, p: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 2133 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 842 by 91.\nAnswer: 842\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -11608000 rounded to the nearest one hundred thousand?\nAnswer: -11600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -122*d - 94670 + 94670.\nAnswer: -122*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 340 and 160.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -14 + -4 + (-11 + 98 - 126).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -14*m**3 + 7*m**2 - 5*m + 2. Let h(s) = 422 + 417 + 3*s - 1267 + 7*s**3 + 427 - 4*s**2. Determine 7*h(y) + 4*n(y).\nAnswer: -7*y**3 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 577, 2319, 5239, 9349, 14661, 21187, 28939?\n\"Answer: 2*a**3 + 577*a**2 - 3*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aqaaqaqaaaqqaqaaqaa. What is prob of sequence qqa?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-130)\/14 + (-12)\/(-42). Let m be 86\/18 - 2\/k. Let l = m - 5. Solve l = -5*r - 2*o - 30, 3*r - 3*o + 1 = -r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 11 = 3*d, m - 4*d = 3 + 15. Let k(f) = 4*f**2 + f + 2. Is 5 a factor of k(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9709*u + 13 = -5*i - 9712*u, 5*u - 5 = 5*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of v**7\/840 - v**6\/120 + v**5\/60 - 5*v**3\/6 - v. Let p(k) be the second derivative of g(k). Factor p(r).\nAnswer: r*(r - 2)*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 568.\nAnswer: -113.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2 - 2 + 12 + i - 3 - 8. Give x(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -6*n**3 - 644*n**2 + 3146*n + 1120 = 0. Calculate n.\nAnswer: -112, -1\/3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 229728?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 - 12*r - 27. Give v(-10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 132.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -37 + 33. Put -3, 11, b in decreasing order.\nAnswer: 11, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 6 - 2 = -2*g, 0 = 2*f + g - 10. Is (3 + f*-4)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 58 - 59 - (5 + 13)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of 0 + 0*y + 2*y**2 + 1\/24*y**4 + 5\/6*y**3. Calculate f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -7. Let d(o) = -3*o**2 + 0*o**2 + o**v - o**2. Let m(w) be the first derivative of 2*w**3\/3 + 2. Determine m(d(n)).\nAnswer: 18*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*z + 2*u = -9*z - 6, 3*z = -u - 9 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**3 + z + 2. Let o be r(0). Suppose 4*p + o*c = 74, p + 5*c - 32 = -0*p. What is the remainder when p is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 j, and 1 c when three letters picked without replacement from ccjlplplplccpcpl.\nAnswer: 5\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3602514 + 497149711\/138. Let w = k - 168\/23. What is the common denominator of 27\/16 and w?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3994888*c**3 + 4352253 wrt c?\nAnswer: -11984664*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 12*j**2 + 3*j - 11. Let v be (-187)\/(-44) + 2\/(-8) + 0. Is p(v) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 4*v + 3*n - 25, 3*v - 15 = 5*n. Let h(g) = 20*g + 26. Let m be h(v). Suppose 110*z - 109*z - m = 0. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 18.14. Let y = 5.14 - t. Let v be (-10)\/(-30) + 48\/(-9). Sort y, -1\/5, 0.1, v in increasing order.\nAnswer: v, -1\/5, 0.1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 at most as big as 57?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 5 = 5*f - 23, -3*f + 16 = -2*l. Let h(t) be the third derivative of 0*t + 0 - 5\/24*t**f - 3*t**2 - 1\/6*t**3. What is h(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -402236 + 402239. Let 0 + 7\/4*p**s + 11\/4*p**2 + 5\/4*p + 1\/4*p**4 = 0. What is p?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the first derivative of 27*p**3 - p + 9. Let k be d(-1). Suppose 264 = 2*z + k. Calculate the remainder when z is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.4957*4\nAnswer: -33.9828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, -29, -146, -385, -788, -1397, -2254?\nAnswer: -3401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 495, 1693, 4025, 7869, 13603, 21605?\nAnswer: 32253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 2:22 AM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.35 - 2.55. Let s = -2.1 - c. Let t = 0 - s. Round t to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 1 = -4. Let k(a) = a**3 + 6*a**2 + 7*a + 11. Let f be k(-5). Put x, -5, f in ascending order.\nAnswer: -5, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-405)\/15)\/9)\/(3930\/20)?\nAnswer: -2\/131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the second derivative of f**5\/60 + 17*f**4\/24 + 13*f**3\/3 - 11*f**2 - 11*f. Let w(o) be the first derivative of u(o). Is w(-23) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515 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: Let v = 13 - 13. Let l be (-6)\/(-6) - (v + 0). Let b = l + 36. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, v: 6}. What is prob of picking 1 v and 2 s?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -1 + 3. Let q be (4 - -1)*w*1. Solve q*c = 7 + 3 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 14) in base 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*q**4 + 2*q**4 - 9*q**4)*(-1 - 10 - 2 - 1).\nAnswer: 224*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Let d = -66 + 593\/9. Which is the second smallest value? (a) 0.02 (b) o (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -4. Suppose 5*p = 5*r + 30, -a*r + 2*r - 17 = 3*p. Differentiate p - 3 - k**3 + 2*k**3 with respect to k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*v - 3*g, -5*v + v + 28 = 5*g. Suppose -v*r - 6*r + 624 = 0. Suppose -5*y = y - r. Solve -3*j + k = -9, -4*k - 28 + y = -5*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -65 (base 12) to base 9.\nAnswer: -85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*c + 2*c + 5*c + 3*c - 2*c - 3*c + (0*c - 2*c + c)*(2 - 1 + 1) - 3*c + 0*c + c - 2*c + 3*c - 5*c + (-c + 3*c + 0*c)*(-1 + 1 - 1).\nAnswer: -10*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a century in decades?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -864*k**3*q**4 - 2*k**3*q**2 - 2*k**2*q**2 - 6*k*q**4 + 366*q**2 wrt q.\nAnswer: -20736*k**3*q - 144*k*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2)*-6 + sqrt(18)\/(2*sqrt(9)))**2 - (sqrt(2) + (1*sqrt(12))\/sqrt(6) + 4) - (sqrt(10)\/((sqrt(60)\/sqrt(3))\/sqrt(4)) - (sqrt(98)*2 + 1)).\nAnswer: 11*sqrt(2) + 619\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4 + 2*m**3 - 1984*m - 15007 wrt m.\nAnswer: 4*m**3 + 6*m**2 - 1984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-19 - 1403 - 963 + 426)*(-k**3 - k**3 - k**3) to the form w*k + a + g*k**2 + b*k**3 and give b.\nAnswer: 5877","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 6 - 3 - -4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/(-30)*214 + (-255)\/(-425). Put 81, -5, 3, u in decreasing order.\nAnswer: 81, u, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from {m: 3, w: 5}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 - 60*a - 275 = 0. Calculate a.\nAnswer: -55, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2 - n - 1. Suppose -j + 1 = -3, 95 = 5*z - 5*j. Let w = 24 - z. Let f be o(w). Which is the smallest value? (a) -0.1 (b) f (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 + 39 = 8*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 262768 <= 262776?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -3 - (24 - 26).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, -14\/3, 18\/5, -0.4, -1.\nAnswer: -14\/3, -1, -4\/9, -0.4, 18\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.3 and 755940.\nAnswer: 755939.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - -2c28418?\nAnswer: 2c28414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31 = 2*d + 37 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 54249265 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: Solve -o - 5*h + 12 = -3, -2*o + 10 = 5*h for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -51801 + 51801 + 0*a - a. Suppose 0 = 4*v - 3*v - 4. Let q(y) = -3*y**2 - 4*y + v*y. Calculate q(k(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*q**2 - 119*q + 22*q**2 + 4*q**2.\nAnswer: 28*q**2 - 119*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.5 and -14488330.\nAnswer: -21732495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-5)*(-3)\/(-9)*(-180)\/20?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1542 + 8 + -7 + -9. Calculate the highest common divisor of y and 354.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332411 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-20) - (-148)\/10. Suppose 2*s + k = 5, -4*s = 5*v + 925. Let t = 342 + v. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 5484 + 3311 = 0. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -d**2*h - 2*d**2 - 4*d*h**2*i - 7*h*i - 7*i - 7 with respect to h.\nAnswer: -d**2 - 8*d*h*i - 7*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h**4\/3 + 8913*h**3 + 374882*h**2 + 4177684*h\/3 + 1356904 = 0.\nAnswer: -38, -2, 26781","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in seven eighths of a kilometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 + 29. Suppose 2*v - 3 - 1 = a. Let m(k) = -k + v + 0*k + 5*k + 1 + 4*k**3. Let l(r) = -r**3 - r - 1. Determine -2*l(b) - m(b).\nAnswer: -2*b**3 - 2*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1432\/40 - 37)\/((-6)\/27).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**3 + 8*s**2 + 4. Let f(v) = 2*v**2 + 1. Suppose 4 - 6 = o. Give o*z(i) + 9*f(i).\nAnswer: 2*i**3 + 2*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2.1 + -2.1. Let f be 81\/15 + -2 - (-2 - -5). What is the closest to f in 2\/9, d, -3?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -139 - -144. Let u be 1\/(r*5\/125). Suppose -3*s = 2*s. Solve j - 15 = -4*z, s*z - u*z = 5*j for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4035293 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 71 - (-1 + -16 - (-508 + 493) - -11)\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 114 - 16162365?\nAnswer: -16162251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1185009184?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/(0 + 3) + 2. Suppose 4*v + w = -2, 0 = -s*v - 4*w - 13 + 5. Suppose -39 + 24 = -3*a. Solve a*r = 3*k + 10, k + v*k + 5 = 2*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -17) + 0 + -2 + -23 + 19?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -6, 0, 74, 8, -2 in decreasing order.\nAnswer: 74, 16, 8, 0, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10311179 and 3595?\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -194, -204, -224, -254?\n\"Answer: -5*g**2 + 5*g - 194","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/7 or 1\/26646?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 3*n = 49 - 42, -h - n + 15 = 0. Put h, 15, -2 in descending order.\nAnswer: 15, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1200) - sqrt(120)\/(sqrt(10) - sqrt(40)))\/(sqrt(36)\/(sqrt(6) + sqrt(6)*4*3)).\nAnswer: -247*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15079 is divided by 1365.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 41058932 a multiple of 139?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/((-90)\/3825*-51).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/((-48)\/(-54)))\/6*(-4712)\/(-62)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13863 = 651*a - 108*a - 13287 for a.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u - 6*u - 9*u + (2 + u - 2)*(1 - 3 + 0)*(6 + 0 - 4).\nAnswer: -22*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8\/(-7 + 23) - (-56)\/16. Solve 0 = 5*p + s - 9 + 3, -y*s - 16 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of -f**3\/6 - 131*f**2\/4 + 66*f + 391. Factor r(t).\nAnswer: -(t - 1)*(t + 132)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 752\/48 - 2*1\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-16)\/(-24))\/((-2)\/(-33)). Suppose -2*b = -b - t. Is b a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7976 - 7933. Let j = -66 - -107. Is j less than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132 - 118) + (-63 - -17).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -214 - -228. What is the remainder when 23 is divided by (-24)\/(-14)*a\/4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b. Let x(n) be the second derivative of -n**7\/504 - 17*n**4\/6 - 8*n. Let p(l) be the third derivative of x(l). Determine c(p(a)).\nAnswer: -25*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(12\/(-8)))\/((-4)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 3 (b) -0.1 (c) 0.5 (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 - 5*x**2 + 2*x**2)*(x**3 - 3*x**3 + 4*x**3 + (3 - 3 - 1)*(-2 + x**3 + 2)).\nAnswer: -8*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1469*g + 2760*g - 314*g.\nAnswer: 3915*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -96.3 + 14.3. Let a = -82.1 - w. What is the closest to a in 1, 38, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -72 + 21 - -5 - -20?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -21 + 39?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((sqrt(700) - ((sqrt(700) - (-2 + sqrt(700))*3) + sqrt(700)))*5 - (-4 + sqrt(700)*1)*-1))**2.\nAnswer: -7480*sqrt(7) + 85856","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -105*m**2. Let b(w) = 4*w**2 + 55*w - 49. Give b(a(r)).\nAnswer: 44100*r**4 - 5775*r**2 - 49","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3.758311 <= -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1480*p + p**3 + 489*p + 448*p - 3*p**3 + 543*p.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91579\/12 - 7638. Calculate the common denominator of 21\/206 and g.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -111, -264, -417?\n\"Answer: -153*y + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -307545.1339 rounded to the nearest ten?\nAnswer: -307550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-14 + -1 + 27 + -10 - (-7 - -83))?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23\/3 - (17 - 10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2. Let c(f) = -6*f**2 - 23*f + 7. Let u be c(-4). Let m(l) be the third derivative of 0*l - 2*l**2 - 3\/8*l**4 + 0*l**u + 0. What is m(z(n))?\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3 - 12*w**2 + 64.\nAnswer: 2*(w - 4)**2*(w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*u + 463103 - 465455 = 0 for u.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 2 + 1)*-1. Suppose f = -0*f + 2. Let w = f - r. Is w != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 21 (b) -1 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 8*a)*(-5*a + 4*a + 0*a).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 20 = 8*x. Suppose 0 = 3*t - x*t + 8. What is the greatest common factor of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1.92, 0.089, 3, -4, 0.5 in descending order.\nAnswer: 3, 0.5, 0.089, -1.92, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 19 - (-22 + 15).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 165\/24*(-12)\/(-3). Let x = g + -27. Is x at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 840617 and 1758?\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18617 divided by 4?\nAnswer: 18617\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/2 - (2 - 2). Let o(j) = -j**g + 5 - j**3 + j**2 + 0 + 5*j + j**2. What is the tens digit of o(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*f - 7577 + 40577. Calculate the remainder when f is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -38 and -8.166722?\nAnswer: 310.335436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 28 = -31 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 26, 33?\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-148)\/106893)\/(100\/(-1350))?\nAnswer: 2\/107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -341 + 345. Let t(y) = y**3 + y**2 - y - 1. Let x(s) = -14*s**3 - 4*s**2 + 4*s + 4. Give m*t(l) + x(l).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100639899.\nAnswer: 3, 59, 189529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*q + 206, 0*z + 170 = 4*z + q. Calculate the smallest common multiple of z and 9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -2\/19, 0.3, -1\/2, -5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2742 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 208 a factor of 156000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that -2*n**2\/5 - 28286*n\/5 + 28288\/5 = 0.\nAnswer: -14144, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 2*m + 83 = -f, 0 = -3*m - 6. Let l be (-2)\/(-11) + 9254\/f. Calculate the common denominator of 2\/3 - (-965)\/l and 5\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3) + (12 - (-11 - -14))\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1912*l**5 + 954*l**5 + 1054*l**5 + 2*l**4 - 564*l wrt l?\nAnswer: 1920*l**3 + 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -140.15 - -214.8. Let a = 164 - 91. Let g = a - l. What is g rounded to 1 dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-24)\/16)\/((-3)\/(-5)))\/(35\/(-10))?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.7 - -25.3. Let c = t + 181. Let m = 210.99999891 - c. Round m to 7 decimal places.\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 16 (c) 1 (d) 0.122\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i**3 + 4*i**3 + i**3)*(94 - 29 - 17) + i - 2*i**3 - i + 0 - 4*i**3 + 0.\nAnswer: 90*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 - 12. Let u(d) = -6103*d - 6086*d - 3*d**2 - 17 + d**2 + d**2 + 12199*d. Determine u(b).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 141, 493, 1091, 1941, 3049, 4421, 6063, 7981?\nAnswer: 10181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiiiiiibvbevybhv. What is prob of sequence bbbi?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12974 is divided by 10330?\nAnswer: 2644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**3 - 8*x**2 + 3*x - 7. Let a(k) = k + 12. Let g be a(-9). Let n(b) = -b**3 + 4*b**2 - b + 3. Let d(j) = g*v(j) + 7*n(j). Factor d(r).\nAnswer: 2*r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 901975.\nAnswer: 5, 109, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -5, 51, 129, 229?\nAnswer: 351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 24*l = -63, 0 = -2*t - 89*l + 91*l + 2. Solve -3*b + u + 2 = 0, -5*b = -u - t - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000096 rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -390, -1544, -3498, -6276, -9902, -14400?\nAnswer: -19794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-1*sqrt(343) + 2 + 5) + -4 + (-4*(sqrt(7) + 0) - (0 + sqrt(252)))*-5)**2.\nAnswer: -1254*sqrt(7) + 22864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**3 + 2*a**3 + 0*a**3 + (a**2 + 2*a**2 - 4*a**2)*(0 + 0 + a) - 2*a**3 - 2 + 2 - 1514*a - 50*a**3 + 1514*a.\nAnswer: -54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 932 + -510. Let b = -421 + j. Is b equal to -24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -4*f - 65*f**2 + 18*f - 53 + 34*f - 13*f**3. Let s(c) = -3*c**3 - 16*c**2 + 12*c - 13. Let p(i) = 9*s(i) - 2*z(i). List the prime factors of p(-15).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y**2 + 37245*y + 5688540 = 0.\nAnswer: -7293, -156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4855 divided by 971.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -248080573729.96 - -0.1.\nAnswer: -248080573729.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.6985 - 5.7985. Let f = 4 - 4.1. Which is smaller: c or f?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -201*4\/(-1290) + (-3)\/5. Sort 4, z, 1 in increasing order.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 7}. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -5*i - 6*y + y, 3*y - 15 = 0. Let v be (605\/(-15))\/((-3)\/9). Let h = -606\/5 + v. Sort h, -10, i, 1\/2 in increasing order.\nAnswer: -10, h, 1\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48 and ((-9)\/108 + 107\/(-12))*-12?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 5*n**3 - 3*n - 3. Determine j(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11.48 - 8.542. Let n = a + -0.038. Let v = n - 2.9. Sort -1, 0.4, v.\nAnswer: -1, v, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62181010 divided by -41?\nAnswer: -1516610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b = 12 - 19 + 11, -16 = 5*w - 23*b + 27*b for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2492068?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -352 divided by 8\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 442\/10 + 2\/(-10). Let m be 0 - (-255)\/(-6) - 36\/(-24). Let c = z + m. Let f(a) = 4*a**2 - 4*a + 1. Determine f(c).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 11*h**2 + 2*h - 10. Let v = -173 + 186. Does 13 divide x(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 476598 is divided by 138.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33*-342456.\nAnswer: -11301048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i**(1\/3)\/i*i)**3\/(i**(-1\/2))**(-7) assuming i is positive.\nAnswer: sqrt(i)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**0\/v)*v)**(8\/3)*(v*(v\/(v*v**(-1)))\/v)\/(v*v*(v\/(v\/(v\/v**(3\/7)))*v)\/v*v))**(-22) assuming v is positive.\nAnswer: v**(-836\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-17\/2)*k*k*k\/(k*k**(-32)*k*k*k)*((k*(k\/k**(-2\/53))\/k)\/k)\/k**(-4))**(-32) assuming k is positive.\nAnswer: k**(-45008\/53)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -42274662098.24253279 + 42274663007. Let u = d - 940.757467. Let i = u - -32. Round i to 7 dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606544642 to the power of 1\/2, to the nearest integer?\nAnswer: 24628","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28.4 + 28. Sort -1, z, 0.25, 1\/7 in decreasing order.\nAnswer: 0.25, 1\/7, z, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106253842?\nAnswer: 2, 17, 3125113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13833 and 59413.\nAnswer: 15506793","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 1 + 11 = 0. Let t = s - -7. Let f(y) = -y**2 + 5*y - 4. Calculate f(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**5 + 192*q**4 + 1612*q**3 - 11520*q**2 + 20272*q - 10560 = 0 for q.\nAnswer: -33, -20, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/30*53040\/(-1224).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 30, 57, 84, 111, 138?\n\"Answer: 27*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 721820?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 110*b**3 - b**2 + 18*b + 1 wrt b?\nAnswer: 660*b - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pap when three letters picked without replacement from aaaaeaeeeabebfppe?\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*y + 48. What is the least common multiple of 22 and y?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 84465 divided by -16893\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(77)\/(sqrt(112)*-2))*2)**2.\nAnswer: sqrt(11) + 75\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(5*f**4 - 5*f**2 + 5*f**2) + 3*f**4 - f**4 - f**4 - f**2 - 6*f + 6*f + 18*f**4.\nAnswer: 14*f**4 - f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m*m\/((m*m\/(m\/(m**4\/m)*m))\/m*m)))**(-18\/13) assuming m is positive.\nAnswer: m**(-36\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1.917401um?\nAnswer: 0.000000001917401","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-12 - -9) + 6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 + 2*l**2)*(-16 - 298 - 87) to the form j*l**2 + v*l + t and give j.\nAnswer: -802","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g**2 - 23*g - 11. Let y(c) = 11*c**2 - 52*c - 23. Let k(r) = 9*a(r) - 4*y(r). Determine k(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of -1 + -2 - (319609\/(-9) + 2\/18).\nAnswer: 35509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 - -3d9?\nAnswer: 3d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -5 (b) -1278 (c) 3 (d) 6\/11 (e) 9\/5 (f) -0.13\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(-5) - 216\/(-45). Find the second derivative of 25 + 42*d**k - 51 + 28 + 24*d wrt d.\nAnswer: 840*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 17*c**2 - 2740*c - 5093. Calculate t(163).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -1.4.\nAnswer: -0.014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 81*l - 44*l - 11*l**2 + 0*l**2 - 48*l. Let s(g) = -22*g**2 - 24*g. Let d(j) = 6*s(j) - 13*z(j). Give d(-1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mrrrrzrzmmrrrmm. Give prob of sequence rmzm.\nAnswer: 8\/819","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -2*a**3 - 3*a**2 - 3*a. Let y(g) = -g**3 + g**2 - 1. Let d(v) = -x(v) + 3*y(v). Calculate d(6).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**3 + 4*h**2 - 3*h - 1. Let c be q(-4). Suppose 5*u + c - 26 = 0. Suppose u*j + 42 = 6*j. What is the highest common factor of j and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -60*a - 44*a**2 - 140*a + 23*a - 42*a + 45*a**2.\nAnswer: a**2 - 219*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*p - 791*p - 164*p)*(-p + 0*p + 3*p).\nAnswer: -1832*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36*c**2 + 33*c**2 + 30*c**2)*(-2 - 58*c + 2 + 11*c - 182*c - 88*c).\nAnswer: -8559*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670144 (base 9) in base 14?\nAnswer: a5c7c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15 - 4 - 10)*(6*z + 3*z - 3*z)*(3 - 4 - 1) to the form j + h*z and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 f when two letters picked without replacement from {n: 2, f: 2, z: 5, d: 1, c: 4}.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3423 and 625618.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 71 - 67. Suppose -874 = -6*r + b*r. List the prime factors of r.\nAnswer: 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 230592 is divided by 28388.\nAnswer: 3488","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 304 divided by 8\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.0675 (b) -1 (c) 15\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 22051815, 44103634, 66155453?\n\"Answer: 22051819*n - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*y + 2*y. Let z be 6*(2\/8 + (-19)\/(-76)). Which is the nearest to 1\/4? (a) y (b) 4\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d**6 - 215*d**3 - 608*d**2 - 2*d wrt d.\nAnswer: -120*d**3 - 1290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 11 - 6 - (-110)\/(-138). Let o = 9803\/138 - w. Let x = 67 - o. Which is the nearest to 1? (a) x (b) 0.3 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66919177*k**2*q**3 + 4*k**2*q**2 + k**2*q - k**2 + 528973*k*q**2 wrt q?\nAnswer: -401515062*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven quarters of a meter?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 5:52 AM?\nAnswer: 5:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16393*i + 32759*i + 2*i**3 + 59 - 16369*i.\nAnswer: 2*i**3 - 3*i + 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1928*q - 126 = 1930*q - 4*t, 4*q + 2*t - 68 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 + 33*t - 212. Let m be u(10). Solve 2*n + 0 = 3*w + m, w + 4*n = 8 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1704, -1709, -1722, -1749, -1796?\nAnswer: -1869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the first derivative of 11*i**5\/5 + 7*i**4\/2 + 13*i**3\/3 + 3*i**2\/2 - 139. What is the third derivative of t(k) wrt k?\nAnswer: 264*k + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4))**2 + 0 + (sqrt(2) + -1 + sqrt(2))**2 + (sqrt(200) - (sqrt(200) + sqrt(200) + -2 + 0) - sqrt(200)).\nAnswer: -24*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 5*r = 19, 4*l - 5*r + 2 - 3 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 13 - 6)*(0*b**2 - 2*b**4 - 8*b**2 + 0*b**2).\nAnswer: -2*b**4 - 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 55511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 111381, 445505, 1002377, 1781997, 2784365, 4009481, 5457345?\nAnswer: 7127957","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 24145 + -7220. What is the second derivative of 28*b**2 + 16931*b - o*b + 30*b**2 - 3 wrt b?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 83 - 117. Let b be (-153)\/n*(1 + 1). Let x(j) = -j**3 + 11*j**2 + 7*j - 17. What is the hundreds digit of x(b)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*q**2 - 3 + 3 - 12*q**2 to the form i + a*q + z*q**2 and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes after 2:05 AM?\nAnswer: 11:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4261523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wzw when three letters picked without replacement from {m: 2, w: 5, z: 2}?\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9*f + 114 = 13*f, 3*i - 5*f - 60 = 0. Solve -3*c + 2 = -4*q - 9, i = -5*c - 3*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 9, e: 2}. What is prob of picking 4 g?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -68*s + 10. Let f be g(-7). Let a be 2\/(-11) + f\/11. Let w = 14 - 3. Calculate the greatest common divisor of w and a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 253211?\nAnswer: 7, 61, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2326137 (base 10) in base 9?\nAnswer: -4334766","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 AM and 6:29 AM?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -7 - -5. Let t be 0 + v\/(-1) - 7. Let n = t - -7. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.667 - 3.637. What is the third biggest value in 0, m, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 11215, 11207, 11185, 11143, 11075, 10975, 10837, 10655?\n\"Answer: -w**3 - w**2 + 2*w + 11215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2218280 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -809, -6503, -21973, -52109, -101801, -175939?\nAnswer: -279413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 1614240 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633\/9 - 5\/(-3)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*w**4 + 2*w**3 + 2*w**2 + 5205*w - 274321963?\nAnswer: -28*w**3 + 6*w**2 + 4*w + 5205","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of 115*p + 19\/5*p**2 + 0 - 7\/10*p**3 + 1\/60*p**4. Suppose s(f) = 0. Calculate f.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 26144066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1066 + 105.6334. Round p to the nearest 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 74790 and 252?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/6*(-2)\/(-4)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k - 4. Let b(n) = 4*n**2 - n**2 + 15*n - 4*n**2 + 7 - 8*n. Calculate -3*b(p) - 5*q(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -41*n + 56. Suppose o + 8 = 3*d, -2*d = 9*o - 4*o + 6. Is 35 a factor of w(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 9 - (-1 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-60)*5*(-5)\/(-105)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*m - 57*m = -264*m - 5343 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 67*p**2 - 44*p - 5399. Calculate l(65).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 3865151?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 4, -0.22, -0.4, -2\/9?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 - 13*k + 22. What is d(7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 9*j**2 + 4*j + 1. Let b(g) = 8*g**2 + 4*g + 1. Let m(r) = 3*b(r) - 2*s(r). Let u = -17 - -20. Is m(u) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/6)\/((-1)\/6) - 1. Let y(c) = -c**2 + 2*c + 3. Let x be y(-3). Let m = -8 - x. Solve l = -m*q - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9253 is divided by 3038?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r + 1. Calculate d(-9).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -2\/3, -3\/5, 0.119 in increasing order.\nAnswer: -2\/3, -3\/5, 0.1, 0.119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in three eighths of a kilometer?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*r + 105 = 17*r. Let o = r + -24. Let y be 6 + -1 + (-4 - o). Sort 1, y, 3 in descending order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 9*b**2\/5 + 48*b\/5 - 52\/5.\nAnswer: -(b - 2)**2*(b + 13)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 273 and 1088178.\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 30.11 + -30.51. Which is the fourth smallest value? (a) 0 (b) -4 (c) 1\/2 (d) 7 (e) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -75b056 (base 13) in base 16?\nAnswer: -2a350e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/47 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 486?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:47 AM and 7:09 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = -6*t + 6*t + 7*t + t - 33, -16*c = 3*t + 220 for c.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1955 - 1955 - 38*c)*(-c**2 + 2*c**3 + c**2)*(-1 + 2*c + 1).\nAnswer: -152*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14471810 and 222.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 82054?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*g**4 - 9*g**4 + 294*g**2 - 294*g**2 + (1 + 2*g**3 - 1)*(-5*g - 12 + 12).\nAnswer: -32*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 393735, 393734, 393731, 393726?\nAnswer: 393719","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9\/10 - 73\/70. What is the closest to -0.01 in w, 3\/2, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*p - 336*p - 2 - 55*p.\nAnswer: -53*p - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -874 + 874.1. Let d = 1\/111 - -211\/1221. What is the closest to s in -5, 1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.4 (b) -5 (c) -8 (d) 1\/10 (e) -93 (f) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 375 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 17740792724771156161\/16548 - 1072080779016692. Let n = z - -2706026\/7. Let m = 4\/197 - n. Calculate the common denominator of m and 103\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 330.5*-2.\nAnswer: -661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/24 and 77\/516?\nAnswer: 1032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-30 - (-12 + -14 + 7))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 59*n**3 + 8*n**2 - 4*n + 21. What is the tens digit of m(4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of n**4\/4 - 112*n**3 + 18816*n**2 + 17*n + 19. What is r in i(r) = 0?\nAnswer: 112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 607?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2257574*s**3 + 0*s**5 - 441*s**6 + 5*s**2 + 2257574*s**3 - 2*s**5 - 115 wrt s.\nAnswer: -52920*s**3 - 120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2 + 5*i. Suppose 37 = 28*t + 37. Let d be b(t). Let u(q) = q**3 - 4*q**2 - 3*q - 6. Let l be u(5). Solve d*c = l*c + 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 88239112 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/48*3*-6.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) 0.5 (c) 4\/23 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 41, 80, 131, 194, 269?\nAnswer: 356","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1446 is divided by 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 2 = 5*k + 12, 2*b + 8 = -4*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 439\/18 + -145\/6. Let x = -208 + 213. What is the closest to r in x, -2\/7, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11486855.\nAnswer: 5, 2297371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/4 and -61\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1151 (base 6) to base 5.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.01*-0.01799274.\nAnswer: -0.0001799274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(3\/4)\/u**0*u**(-7)*u*u*u*(((u*(u\/u**(-2\/5))\/u*u*u)\/u)\/u*u*u)\/u*u assuming u is positive.\nAnswer: u**(3\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -i + 5*y, -24 = 10*i - 6*i + 2*y. Let v(k) = -3*k - 14. Let q be v(i). Sort q, -11, 0 in decreasing order.\nAnswer: 0, q, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -1. Let t be (1\/(-6))\/(1\/g). Let w = 0.82 - 0.32. What is the third smallest value in 4, t, w?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1267 divide 3144651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 + -44 + -31 - -14.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 752*a**2 - 1469*a + 4. Let m(x) = -1505*x**2 + 2933*x - 7. Let i(y) = -7*k(y) - 4*m(y). What is the second derivative of i(d) wrt d?\nAnswer: 1512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h**2 - 4*h**2 + h**2)*(-3*h + 5*h - 3*h) + (-h - 3*h**2 + h)*(5*h - 5*h + 5*h) to j*h + g + z*h**2 + i*h**3 and give i.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/(-48))\/((-1701)\/6615*(-56)\/(-96))?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1758313, 1758055, 1757797?\nAnswer: 1757539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**9))*l\/(l*l**(-1\/6)))\/((l**17\/l)\/(l\/(l\/l**(5\/8)))) assuming l is positive.\nAnswer: l**(-557\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -186*b**3 + b**2 - b - 2. Does 31 divide d(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**12*b*b\/b**(1\/6) assuming b is positive.\nAnswer: b**(83\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 5*j - 1875, -5*j - 2448 = -5*u - 553. Calculate the highest common factor of 29 and u.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + b - 5)*(2 - 3 - 4)*(4 - 4 + 2).\nAnswer: -10*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5715 by 1905.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 726?\nAnswer: -726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*k + 13*k = -40085. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 476364502 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*i - 1713 + 7483. Is 576 less than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 120 and 174096?\nAnswer: 870480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 714119496?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + (sqrt(171) - (sqrt(171) + -1*sqrt(171))) - sqrt(171) - sqrt(171))\/sqrt(9) + sqrt(19) + -1 + 5.\nAnswer: 4 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + 0*r + r)*(9*r**4 - 9*r**2 + 9*r**2) + 0*r**5 + r**5 + 2*r**5.\nAnswer: -15*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1048832906.\nAnswer: 2, 11, 47674223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9432?\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -35026 + 35050. What is the remainder when 25892 is divided by n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33167 + 62424 = 17*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 605 minutes before 11:30 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -1385*o**3 + 5708*o**2 - 14*o. Let i(x) = 20*x**3 + x**2 - 2*x. Let u(w) = -7*i(w) + j(w). Find the third derivative of u(k) wrt k.\nAnswer: -9150","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-11) - (-136)\/22. Let g(l) = l**2 - 4*l - 8. Let y be g(b). Suppose 3*s = 2*w + 16, -2*s + 0*w = y*w. Solve -c - c = -s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 25 and 725?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 14 = -4*s, -3*t - t = 4*s + 28 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of -3 - 1\/2*i**2 + 5*i. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -16*n**5 + 172*n**4 + 2460*n**3 - 13396*n**2 - 121100*n - 29400 = 0.\nAnswer: -7, -1\/4, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Suppose 2*k - 3*h - 3 = i, -k = 2*k + 4*h + 38. Let n(w) = w**2 + 4*w + 7. Is n(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -3*o - 4*g, 2581027*o - 3*g - 145 = 2581041*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3171649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1356934 a multiple of 1039?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**2 + 16*p + 14. Let x be l(-7). Solve x = -z - 1 + 2, 3*f = -3*z + 3 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10141, 16815, 27937, 43507, 63525?\nAnswer: 87991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 948771?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11157\/1960 - 3\/392. Let p(v) = -2*v**3 - v**2 - 2*v + 3. Let l be p(2). Find the common denominator of b and 3\/72*4 + 86\/l.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -w + 2*w - 2*h, -5*w + 4*h = -24. Let x(c) be the second derivative of 1\/12*c**w + 5*c + 2\/3*c**3 + 0 + 1\/2*c**2. Determine x(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22024 + -3428. What is the tens digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) 17 (c) -1\/4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -11. Suppose -3*v + 0 = -l. Suppose -2*r + 2 = -0. Which is the nearest to 0.1? (a) r (b) v (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 4*k + 10. Calculate l(-7).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(784)*-2 - (sqrt(16) - 6*sqrt(256)))\/((1*sqrt(784))\/(sqrt(14)\/(sqrt(21)\/sqrt(3)))))**2.\nAnswer: 648\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7066*v**2 + 11688*v**2 - 1440*v**2 to the form f + l*v + u*v**2 and give u.\nAnswer: 17314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 22331787.8 rounded to the nearest 100000?\nAnswer: 22300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 38348 - 17?\nAnswer: 38331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 340.\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 12*r + 6. Calculate d(3).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2070 + -2688. Sort p, -0.5, -2\/5 in descending order.\nAnswer: -2\/5, -0.5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -92, -180, 1\/7, -2?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12039 - -12039. Which is bigger: c or 1\/390?\nAnswer: 1\/390","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 345150\/17 + -20291. Which is smaller: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/15*45\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*t - 0*m - 2*m - 47, -3*t + m + 28 = 0. Suppose -t*a = -6*a - 81. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 32 = -0*i - 4*i, i - 34607 = -2*f - 34604 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -2*b + 8*h + 206, -b - 3*h + 78 = 0. List the prime factors of b.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(7) - -3*sqrt(175))*4 - (4 + 2*sqrt(5) - (sqrt(5) - sqrt(30)\/sqrt(6))*3).\nAnswer: -4 - 7*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.75 - 3. Let n = k - 0.2. Round n to one dp.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a gram in milligrams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40373 to two dps.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 2*o**2 - o - 2. Let w be v(3). Suppose w*f - 65 = -1. What is the remainder when f is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 3*f + 31. Let h(j) = j + 10. Let g(k) = 3*a(k) - 8*h(k). Let l(x) = 13*x - 6. Calculate the remainder when l(4) is divided by g(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -j**4*x**3 - 3127996*j**4*x + 5*x**3 + 2*x**2 - 6152*x - 2 wrt j.\nAnswer: -4*j**3*x**3 - 12511984*j**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3082c (base 15) to base 16\nAnswer: -25875","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 0.5, 0.46, 22\/5?\nAnswer: 0.46","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 43 divide 108021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2 + 5*h**2 + 8*h + 8*h - 11*h - 7*h. Let o(x) = -84*x**2 + 35*x + 35. What is -2*o(i) - 35*u(i)?\nAnswer: -7*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*(((-741798)\/540)\/(-57) - 16\/10).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 949569\/34*(-2)\/3. Let c = b + -8381. What is c rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 188031805?\nAnswer: 5, 13, 2892797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -a + 21. Suppose a*u - 54 = 142. Calculate the remainder when u is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -5*b - 440, d + 4*b = -0*b + 83. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 126 divided by 5072\nAnswer: 63\/2536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(12\/5))\/(c*c**(-11))*((c\/(c**(-1\/33)*c))\/c)\/(c**(-18)*c*c))**(3\/5) assuming c is positive.\nAnswer: c**(3899\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2*(sqrt(11) - (3*sqrt(11) + -5) - sqrt(11)).\nAnswer: -6*sqrt(11) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/435120 and 163\/924630.\nAnswer: 7397040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/700 at least as big as 19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 221010 (base 4) to base 8\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -257 + 314. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27747 (base 8) in base 10?\nAnswer: 12263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 87 a factor of 11072707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 16\/12*1197\/(-1824)\nAnswer: -7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 229 + 152. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15 (base 15) to base 16.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1641860 + 87?\nAnswer: -1641762","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, h: 8, c: 4}. Give prob of picking 2 j and 2 c.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bhhohhhbhbbbhhlh. What is prob of picking 1 h and 1 b?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1*-1*0\/32\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r = 12, -122*x + r - 4 = -119*x. Let c(a) be the second derivative of -9\/2*a**2 + a**4 + 0 + x*a**3 - 8*a. Differentiate c(t) wrt t.\nAnswer: 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4610 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1120 and 196.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -35599, 7, -0.102 in descending order.\nAnswer: 7, -0.102, -35599","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1118?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.6368322695783 and -1?\nAnswer: 0.3631677304217","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(7\/5)*c*((c**(1\/13)*c)\/c)\/c assuming c is positive.\nAnswer: c**(96\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w**3 + 10*w**2 - 5*w - 23. Let j(z) = 8*z**3 - 30*z**2 + 16*z + 69. Let t(f) = -4*j(f) - 11*v(f). Let k be t(-11). Which is smaller: -44 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i + 2*h + 10715, i + 8570 = 5*i - 2*h. Suppose 747 - i = -6*c. What are the prime factors of c?\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -156 + 244 = -8*v for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -43116, -172538, -388242, -690228?\nAnswer: -1078496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 101 = 54. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 969.\nAnswer: 3, 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 243518, 1947776, 6573602, 15581780, 30433094, 52588328, 83508266, 124653692?\nAnswer: 177485390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 4*c, 3*c = 2*z + 4*c. Solve 0 = -2*u - z*u - 2 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 233 + -228. Let h(r) = -8*r**4 - 24*r**3 - 16*r**2 - 5*r. Let d(v) = -12*v**4 - 36*v**3 - 24*v**2 - 8*v. Let o(q) = u*d(q) - 8*h(q). Factor o(z).\nAnswer: 4*z**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2068 + -2049. Suppose 5*z = 3*x + 28, -24 = -4*z - x + 5*x. What is the remainder when r is divided by z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4277 - 33 = 4*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 PM and 12:53 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 + 0.8. Let v = -237 + 239. Which is the closest to w? (a) v (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 f, and 1 r when four letters picked without replacement from {r: 1, a: 3, f: 3}.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 5:24 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -26356 divided by 599?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 655567*c**2 - 1311173*c**2 + 655603*c**2.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2550)\/10710)\/(820\/(-56))?\nAnswer: 2\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x - 3*x - 2065 - 602 - 2401*x**3 + 2*x wrt x?\nAnswer: -7203*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**3 - 16*p**2 - 39*p + 172. Give r(9).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26607707*g*m**3 + 2*g*m**2 - 2*g*m + 117*g - 389*m - 45 wrt m.\nAnswer: -159646242*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 640287960, 640287962, 640287964, 640287966?\n\"Answer: 2*g + 640287958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2936503 (base 10) in base 2?\nAnswer: 1011001100111010110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 114320 and 708240.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of 39*l**5\/10 + 13*l**4\/4 + 9*l + 4. Find the third derivative of j(z) wrt z.\nAnswer: 468","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -752872058557 and 0.1.\nAnswer: -752872058556.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 222*m + 11 + 10.\nAnswer: -222*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -6 - (-2)\/4*-2. Let r(k) = -2*k**2 - 17*k - 29. Let u be r(-6). What is the nearest to u in -2, j, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -220, -835, -1854, -3271, -5080, -7275, -9850?\nAnswer: -12799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - (-8 + 8))\/(2\/277). Let x = 316 - t. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -2*r**2 - 6*r - 10. Determine b(-10).\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 98\/(-12)*(9480\/(-2212))\/(20\/(-28))\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 7, y: 2, t: 1, v: 3, s: 1}. What is prob of sequence st?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1179870 by 3.\nAnswer: 393290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991663069 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(132) - sqrt(132)*-2)*-3)\/(sqrt(84)\/(sqrt(7)*1 + sqrt(7))))**2.\nAnswer: 3564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*b**4 + 6*b**4 + 7*b**4)*(3 - 3 + 5*b).\nAnswer: 90*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77625 is divided by 996?\nAnswer: 933","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.02 less than 48677\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -615*u + 1218*u = 602*u + m - 1, 2*u = -m - 5 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from {j: 2, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -19b3a2 - -3?\nAnswer: -19b39b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p - 10. Calculate a(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 85 (base 11) to base 9\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-2)\/4*2*(-235)\/235\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-8))\/((-4)\/(-224)). Let n = v + 87. Let j = 2.2 + -2. What is the third smallest value in j, n, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 72534661*c**2*l**2 - 117*l**2 - 461*l - 513 wrt c.\nAnswer: 145069322*c*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 12*c - 4. Let x(o) = -6*o + 2. Calculate -6*r(t) - 11*x(t).\nAnswer: -6*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(2800)*1 + (sqrt(196) + sqrt(196)*1)\/sqrt(7)).\nAnswer: -144*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 47.59979ug?\nAnswer: 0.00000000004759979","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 932 = -4*t + 33*v, -78*v - 104 = -4*t - 60*v - 22*v for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -133, -264, -397, -532, -669, -808?\n\"Answer: -q**2 - 128*q - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 87975?\nAnswer: 351900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the second derivative of -s**4\/12 - 3*s**3 + 7*s**2\/2 - 19*s. Let v = -32 - -19. Let b be n(v). What is the highest common divisor of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 1) + 6 - 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 732102491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-21)\/(-2))*-2. Let f = -16 + c. Let g(i) = -i**2 - 15*i - 41. Let t be g(-11). Solve -2*b = -10, -7*r + t*r - f*b - 5 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 AM and 2:49 AM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, -906, -6, 4, 2\/9, 0.4 in decreasing order.\nAnswer: 4, 0.4, 2\/9, -0.5, -6, -906","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2*y + i, 3*y - 14 = -4*i. Solve -2*f + 5*f + 2 = -y*h, 5*h = -3*f + 13 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 2*g + 2. Let s be m(1). Suppose -5*x = s*r - 145, 3*r = 2*x - 21 - 14. Which is bigger: x or 24?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 3 + 8. Let g = 23 - 21. Let x = 0.082 - -0.918. Which is the closest to g? (a) x (b) t (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 + 144?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 195 divide 691470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) -33 (c) -1401 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3083 or 6?\nAnswer: 3083","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*((-13)\/(-4) + -3)*(-12 - -94).\nAnswer: -123","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/3 (b) -1\/14 (c) -1 (d) 1 (e) 0.0089\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 1:00 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 5, -7\/8, -1\/93 in ascending order.\nAnswer: -30, -7\/8, -1\/93, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47*y**6 + 2*y**5 - 11*y**3 - 13*y**2 + 1124.\nAnswer: -5640*y**3 + 120*y**2 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 86*k**2 - 291*k**2 + 102*k**2 + 136*k + 101*k**2. Let c(n) = n. What is c(h(g))?\nAnswer: -2*g**2 + 136*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g + 4*g - 2*g)*(-3*g**3 - g**3 + 3*g**3) + (-g + 0 + 0)*(50*g + 149*g + 244*g)*(7*g - 3*g - 2*g)*(-2*g - 2 + 2).\nAnswer: 1770*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8324 a multiple of 138?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-70)\/(-5) + -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*a + 31908, 6*f + 31929 = 5*a + 3*f. Suppose 32*r = 4*r + a. Does 57 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1347905 is divided by 84031?\nAnswer: 3409","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 68 + 48.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 16*l - 51. Let a(m) = -16*m + 52. Let b(o) = 4*a(o) + 3*p(o). List the prime factors of b(-10).\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 5*t = -4 - 7, 0 = g - t - 3. Solve 7*b - 3*b + 4*r = -16, 5*b - g = r for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (15\/6 + -1)\/((-6)\/(-8)). Suppose -x = -z - 2. Let n be x\/((-48)\/15)*(2 - 6). Sort n, -5, -2, 0 in increasing order.\nAnswer: -5, -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 232 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15320546.\nAnswer: 2, 223, 34351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -280*k + 3*k - 43*k + 29*k to i + p*k and give p.\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 56931 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -237*u + 1 - 240*u + 3*u**2 + 476*u. Let v(o) = -o**2 + o + 1. What is -m(p) - 2*v(p)?\nAnswer: -p**2 - p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 74 - 51. Suppose 24 + 84 = 4*o. Let j = 35 - o. What is the remainder when t is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -46029300*y. Let n(a) = 15*a**2. Calculate n(s(v)).\nAnswer: 31780446877350000*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143417 is divided by 2601?\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -32104, -32111, -32118, -32125?\n\"Answer: -7*a - 32097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2320\/3 > 2.983?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92 - 73 = 5*p + 5*n, -2*p = -7*n + 120. Which is bigger: -14 or p?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 25*s**2 + 750*s - 27. Does 53 divide z(-49)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 1 = n, 3*y - 3*n = -5 + 17. Let t(q) = 7*q - 3. Let g be t(y). Let l(w) = 3*w**3 + 0*w**3 + 4*w**2 - 4*w**3 - 2*w - 3 + 4. What is l(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15733, 1852, -12029, -25910?\nAnswer: -39791","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -64122.3475 to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 46, 109, 188, 289, 418?\n\"Answer: q**3 + 2*q**2 + 50*q - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t**2 + 54*t + 74. Give h(-25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vjvouuvuounjnojnj. What is prob of picking 2 o and 1 j?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -5, 5, 65.5, -0.01, -13, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 31212 and 1904.\nAnswer: 873936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14341 is divided by 7170.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 9:05 AM?\nAnswer: 9:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 j, and 2 k when four letters picked without replacement from jxkxkxkkjk.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 21 (c) 4 (d) 0.05 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4274973353?\nAnswer: 7, 193, 3164303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 387579 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: What is the closest to -0.6 in 1, -2\/3, 0.1, 3\/2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 2*q. Let i(d) = 961*d**2 + 10862. Calculate n(i(h)).\nAnswer: 1922*h**2 + 21724","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3106 divide 182586210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25840 and 56848?\nAnswer: 284240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from alffjlljfpy. Give prob of picking 3 l.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 406223.\nAnswer: 37, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the first derivative of m**3\/3 - 458. Let s(c) be the first derivative of -11*c**2 + 1. Calculate g(s(o)).\nAnswer: 484*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/7)\/((-90)\/(-21))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 54388.15 weeks?\nAnswer: 380717.05","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5.02678 + -0.02678. Which is the closest to 0? (a) u (b) -50\/7 (c) 3 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31, -242, -719, -1570, -2903?\nAnswer: -4826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - -20) + (489 - 502).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 5*i + 8 = 4, 3*i = 3*m + 3. Which is the second smallest value? (a) -2.4 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1214 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -368.2 + -1831.\nAnswer: -2199.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of x**5\/15 - 7*x**4\/12 + x**3\/6 - 10*x**2. Is v(12) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11189394 divided by 621633.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101 + (-1345)\/(-538)*(1008\/15)\/(-7).\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2*2 - (-4 - -5). Suppose 2*f - 3*f - 3*s = -6, 2*s = -f + 3. Suppose -2*x + 3*x - 3 = 0. Put f, x, h in ascending order.\nAnswer: h, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 4. Suppose 4*w - 3*f - f = 24, 0 = 2*w + f. Let a be c(w). Solve 2*h - 30 = 4*v, a*h - 30 = -3*h + v for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that 2*p**4 - 194*p**3 + 4796*p**2 - 4224*p - 9216 = 0.\nAnswer: -1, 2, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -10101011100101100100?\nAnswer: -10101011100101101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 330820 and 3740?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 82 + -81.72. Let x = 0.28000436 - m. Round x to seven dps.\nAnswer: 0.0000044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(76)*4)\/(sqrt(16)\/(sqrt(64) + sqrt(4))))**2 - (4 + sqrt(2736) + 6*sqrt(190)\/sqrt(10)).\nAnswer: -18*sqrt(19) + 30396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 4. Suppose -i = -q*m + 38, 39 = 3*m + 2*i + i. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -5*c. Let m(z) be the first derivative of 1\/2*z**2 - 7 + 0*z. Calculate m(j(l)).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 830*y**4 - 687*y**2 wrt y.\nAnswer: 19920*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.06 - 10.94. Let i = 11 + s. Let t = -3 - -2.9. Is i smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 bigger than -1.26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/42)\/((-2)\/(-6))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -5*r**3 + 63*r**2 - 40*r + 42. Determine o(12).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -23059, -23064, -23069, -23074?\n\"Answer: -5*p - 23054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-1)\/(-2) + -5 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + 15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b + 174. Suppose 7*r + 10 = -277. Let n = r - b. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of -21*k**2\/2 - 66*k + 109. Let o be t(-4). What is the greatest common factor of 162 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -12014027 - 0?\nAnswer: -12014027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 196560 and 142128.\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*j*j*(j*j*j**2)\/j*j))*j)**26*((j**(-4)*j*j*j)\/j)\/j**(1\/3) assuming j is positive.\nAnswer: j**(617\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(-26) - 1\/(13\/(-2)). Is (-5 - -8 - -852) + -4 + z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1623 + -1622.75. What is the nearest to 0.1 in -0.7, f, 0.4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -8 + 0 + -3 + 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 632.71 + 7\nAnswer: 639.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 41*t + 29\/3*t**2 - 7\/3*t**3 - 1\/3*t**4 - 120.\nAnswer: -(t - 3)**2*(t + 5)*(t + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mkcc when four letters picked without replacement from kmkckmmcmckmcm?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8583 + -2819. Is t bigger than 5763?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -196383866 less than 165033?\nAnswer: 196548899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87105 is divided by 183?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 13, s: 5}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 209 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 48\/9 - 1\/3. Suppose -8310 = -4*o + l*c, 5*o - 7*c + 3*c = 10383. Let j = o - 16645\/8. What is the common denominator of j and 19\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43 divided by 58.\nAnswer: -43\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 176 and 480.\nAnswer: 5280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 15 - 14. Let z(g) = g**3 - 5*g**2 - 9*g + 21. Let t be z(6). Solve x - t = -q for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/8)\/((-1)\/10). Suppose 0*b + 5*h - r = -b, -5*b + 25 = 3*h. Determine n, given that 12\/5*n**3 + 2\/5*n + 8\/5*n**2 + 2\/5*n**b + 0 + 8\/5*n**4 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 - -5303?\nAnswer: 5304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = -4. Is (-37)\/(-7) + 4\/b a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5267 is divided by 1300?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -13 - 9 + 3*g - 16 + 42 to the form d*g + v and give d.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**2\/4 - 31*y - 120.\nAnswer: -(y + 4)*(y + 120)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l + 7 = -5*j, -16 = 4*l + 9*j - 13*j for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eo when two letters picked without replacement from {e: 2, o: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, g: 1, o: 5, z: 3, a: 1, s: 2}. Give prob of sequence zo.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*q**2 + 6956275*q - 6956270 = 0. Calculate q.\nAnswer: 1, 1391254","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 457, 836, 1177, 1462, 1673, 1792?\n\"Answer: -3*t**3 - t**2 + 403*t + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1748521883?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -29807232 divided by 11648\nAnswer: -2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(50) + 1))**2 - (sqrt(200)*1 - sqrt(200)).\nAnswer: 10*sqrt(2) + 51","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g - 2. Let j be p(2). Suppose -2*v - j*v = -124. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2198712 is divided by 21987?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10 - 13.6. Let z = -0.6 - u. What is the third biggest value in -0.5, 0, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 346*x**2 + 698*x + 350.\nAnswer: -2*(x - 175)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 6 + 63?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1386365 is divided by 26658.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*y - 20*n - 29 - 11, 4*y - 7 = 2*y - 3*n for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -l - 25*k + 4696, 18829 = 4*l - 3*k. What is the thousands digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9247, 9244, 9241?\nAnswer: 9238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 2136978.\nAnswer: -1\/712326","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34005307.\nAnswer: 7, 19, 255679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*x**3 + 126905*x**2 - 253795*x + 126895.\nAnswer: -5*(x - 25379)*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-2 + sqrt(3)*-2)**2 + (sqrt(3) - -6*sqrt(12)\/sqrt(4))**2.\nAnswer: 8*sqrt(3) + 160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -76 or 168\/3937?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -43*y**3 + 6*y**2 + 8*y + 8. Let d(a) = -a**3 + 2*a**2 + 2*a + 2. What is 4*d(u) - s(u)?\nAnswer: 39*u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/5159 - 31079\/644875. Let p = -8975 + 8975. Which is smaller: p or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129067151 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2 + (sqrt(128) + 1 - sqrt(128))*-4 + 5 + (sqrt(128) + -1 - sqrt(128)) + 0 + -4 + 1 + sqrt(128))**2.\nAnswer: -96*sqrt(2) + 164","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 16*m - 56. Let k be y(8). Suppose -28 - 12 = -k*h. Solve -3 = h*p + 3*l - 2, -22 = 5*p - 4*l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.6441 - 3.3603. Let z = -10 - y. What is z rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49 - -52.2. Let s = 22.2 - v. Let k = s - -4.6. Round k to the nearest integer.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (50\/(-35))\/((-2)\/322). Let p = n - 234. Sort -0.1, p, -1\/18, 3\/2 in decreasing order.\nAnswer: 3\/2, -1\/18, -0.1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r**3 - r**2 - 3*r - 3. Let c be (-5 - 0)\/(4\/(-4)). Let y(x) = -3*x - c*x**3 + 0 - 2 - 2*x**3 + 6*x**3. Let u(g) = -2*q(g) + 3*y(g). Factor u(j).\nAnswer: j*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 2\/5 (c) 1020 (d) 450\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-56)\/(-20)*(-750)\/(-105)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 4662829 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33058 - 18672. What are the prime factors of c?\nAnswer: 2, 7193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from krkkrkkxrkkkxkrk?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2693.453mm in micrometers?\nAnswer: 2693453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/2456 and ((-1)\/96)\/((-26)\/(-6604))?\nAnswer: 14736","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 292 and 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4898, 19606, 44116, 78428, 122542, 176458, 240176?\n\"Answer: 4901*f**2 + 5*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -69261, -69614, -69967, -70320, -70673, -71026?\nAnswer: -71379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8 - ((8 + -2 - 1) + -5)) + -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 5 = -5*u, -2*u + 24 = 2*r + 2*r. Suppose -4*j - z + 25 = -u*z, 5*j + 3*z = 44. What is the highest common factor of 63 and j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/3775 (b) 8.6 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 7, o: 2, j: 2, u: 4}. Give prob of picking 1 x and 1 l.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -56085*x**3 + 8*x - 26536 wrt x.\nAnswer: -336510*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (304*f + 7875 - 508*f - 448*f - 7876)*(-4 + 4 - 2*f).\nAnswer: 1304*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1714986 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - x + x + (0 + 2 - 5)*(-230 + 230 + 49*x).\nAnswer: -145*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 241432 less than or equal to 241698?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**3 - l**2 + 22*l + 5495. What is the tens digit of b(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 6, -q = 3*u - 2*u - 29. Let w be (16\/36)\/2 + (-6)\/u. Solve 2*z = l + 3 - 15, w = 2*z + 2*l for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1170 + -1153 + -49 + 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 PM and 4:14 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/80 and 37\/396328.\nAnswer: 3963280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -89 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from igggiig. Give prob of picking 1 g and 3 i.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 8*r**3 + 22*r**2 - 43*r + 3. What is c(2)?\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -34635.\nAnswer: -103905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -5*x**2. Let m(z) be the first derivative of -z**2\/2 + 63*z + 1558. Give m(v(p)).\nAnswer: 5*p**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 22*d**2 + 3*d**2.\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 3 v when four letters picked without replacement from {k: 2, a: 2, v: 3, s: 2, b: 6, t: 2}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 75860*c + 151694. Calculate w(-2).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v**3 + 371128 - 371129 + 4*v**2 - 4*v**2.\nAnswer: -2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*r - 94343 = -94708 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 114\/24 - 4 - (-138)\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -668\/19, -30, -1\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 972.0709 nanograms in grams?\nAnswer: 0.0000009720709","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 15\/8 (b) -6\/7 (c) -1 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 199*p - 198*p. Suppose 3*f - 258 = p*x, 4*x - 236 - 68 = -4*f. What is the highest common divisor of f and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4959 - -4958.99974345. Round i to four decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -69\/16291?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-8)\/(5\/((-15)\/6)). Suppose -3*k = -3*v - 18, -2*v - 6 = -4*k - 7*v. Let q be 3*3\/18*k. What is the greatest common divisor of q and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (25465\/9260)\/(2\/4)\nAnswer: 11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (-20 + -52 + 19).\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2513, -5029, -7545, -10061, -12577?\n\"Answer: -2516*l + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933, -2000, -3113, -4296, -5573, -6968, -8505?\nAnswer: -10208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvl when three letters picked without replacement from tfktlrv.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011111101101100111110 (base 2) in base 4?\nAnswer: -23331230332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1)\/c)**(2\/15) assuming c is positive.\nAnswer: c**(-4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-20) - (-2)\/8. Let u = 1 + -0.5. Let j be (0 - 12)*19\/(-57). Which is the closest to m? (a) j (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 7*a**2 + 5*a - 2. Let l be u(-6). Let v(o) = 7*o**3 - 4*o**2. Let k(j) = 36*j**3 - 21*j**2. What is l*k(n) - 21*v(n)?\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qq when two letters picked without replacement from {b: 6, q: 6}?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 140\/14*(-5)\/(-10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2111 + -103?\nAnswer: -2220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/13 equal to -31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 - 44 - ((-2)\/(-2) - 1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the second derivative of 3*b**2 - 56*b - 1\/2*b**3 + 0. Give g(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -3303?\nAnswer: -3240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4854 + 4805.36. Round a to the nearest integer.\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 121*-17.\nAnswer: -2057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11 + 29. Let i(g) = -g**2 - 21*g + 49. What is the lowest common multiple of i(-23) and k?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (14739886 - 14742047 + 5*a - 2*a)*(a**3 - a**3 + 2*a**3) to l*a**3 + h*a + s*a**2 + g*a**4 + x and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 6*f**2 + 6*f - 2. Suppose -5*r + 427 = 122. Let j be r\/6 - 3\/18. Let u be (-1)\/((-22)\/j - -2). Give o(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -v, 2*v = 3*r + 3*v - 18. Calculate the highest common divisor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 77\/7 + -27 - (-18 - -19)\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 + 0 + 298149*x - 298143*x.\nAnswer: 6*x + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 243539938?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -187 times -2799973\nAnswer: 523594951","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -15499543 less than -15499541?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 15 - (8 + -20 - 3)\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -38? (a) -1333 (b) 4\/3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17654820 (base 9) to base 2.\nAnswer: -100001111011010100101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a kilometer?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0078 + 0.4578. Let d = i + -0.504. What is d rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11052 - -11129. Sort -5, 4, a in decreasing order.\nAnswer: a, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/211 (b) -0.3 (c) -2\/13 (d) -3 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 89137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12*b - 4*b + 0*b - 9*b. Let y(k) = -2 - k - 5*k + k**2 - 1. What is 5*u(j) - y(j)?\nAnswer: -j**2 + j + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108107354 + 108107354 - 11*n + 33*n.\nAnswer: 22*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 12 = -7*x. Suppose -x*p = 2*p - 3*f - 125, -4*f - 75 = -3*p. Let w be ((-4)\/p)\/((-4)\/10). What is the third smallest value in 5, w, -1\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 4060*x + 727. Is h(21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 1240*m - 173439. Calculate f(140).\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g - 6. Let d(n) = -n**2 - 2*n + 7. Let l be d(-5). Let r be j(l). Are 4\/5 and r equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 254.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 15*v - 10*v. Let l = -11 - v. Solve -3*a - d - 4 = l, -4 = -2*a + 3*d for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*h + 2*h + 4*u, 65*u - 122*u = -59*u for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 58\/3 of a minute?\nAnswer: 1160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -371*i - 1105*i**2 - 375*i + 1119*i - 373*i.\nAnswer: -1105*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, 4, 18368 in descending order.\nAnswer: 18368, 4, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the second derivative of 2*w**4\/3 + 4*w**2 + 8*w. Differentiate n(b) with respect to b.\nAnswer: 16*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*c = -n + c + 4, 4*n + 26 = 7*c + 18 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**2 - 2*c**2 + 2*c**2 - 2*c**2. Let f(r) = 324*r**2 + 19. Let t(y) = -567*y**2 - 34. Let o(x) = 16*f(x) + 9*t(x). Determine o(l(n)).\nAnswer: 729*n**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 111860 to the nearest one thousand.\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1205 - 1664*v - 2232 + 1027.\nAnswer: -1664*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvvktcvvvvcckcv. Give prob of sequence kv.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -329 times -0.367?\nAnswer: 120.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -18, -0.03918, -2\/15?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 17*t**2 + 121*t - 364. What is f(25)?\nAnswer: -2339","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + 7 + 5950\/(-408) - 14\/8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51\/91 + 1\/91. Which is the closest to -114? (a) o (b) 5 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7 + 0 + (-39)\/3. Put o, -1, -3 in descending order.\nAnswer: -1, -3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*q + 4*q + 8 = 0. Suppose -5*j + q*o + 115 + 191 = 0, 3*o = -9. Suppose 5*c - j = 20. Calculate the lowest common multiple of 4 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1480 - 418. Suppose x - 4*s - 8009 = 0, -u - 39037 = -5*x + 2*s. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*w + 0*t = -298*w + 584*w - 5*t - 631, -t = 3 for w.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/16925 and 83\/6920.\nAnswer: 23424200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**3 + 4*p**2 - 2*p - 6. Let r be n(-4). Suppose 2*j + 3*j - 12 = r*l, -2*l = 5*j + 12. Let z = l + 23. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329*h**3*v**2 - 9835*h**3*v + 6035*h**2*v**2 - 419*h**2 + h + v**2 wrt h?\nAnswer: -1974*v**2 - 59010*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -231873520 by 4.\nAnswer: -57968380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of m**4\/12 - 5*m**3\/6 - m**2 - 24*m - 2. Let k(o) = o**2 - 6*o - 3. Give 3*d(f) - 2*k(f).\nAnswer: f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + 650028?\nAnswer: 650029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -1842*x - 5522. Determine v(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -6. Let y be (1 - 1)\/((-1189)\/29 + 44). Which is the closest to 2\/41? (a) -2\/9 (b) g (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 2*k**3 + 0*k**3 - 409*k + 352*k in the form u + d*k + c*k**3 + z*k**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 5 + 1 = 3*u, -u = -4*b - 14 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 3 f when four letters picked without replacement from fpppppppfppfpp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 6*q**3 - 2*q**3)*(-1 - 1 + 0) + q**3 - 5*q**3 + 0*q**3 + q**3 - 2*q**2 + 2*q**2.\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 3) + (6 - (5 + -4))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41857 is divided by 70?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 628 and 5024.\nAnswer: 5024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of 73*b**5\/20 - 293*b**3\/6 - 107*b**2. What is the derivative of x(k) wrt k?\nAnswer: 438*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/4 + 10375*b\/2 - 107640625\/4.\nAnswer: -(b - 10375)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x - 3 = -23 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4976167.22 rounded to the nearest 100?\nAnswer: -4976200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + 1. Is 14 a factor of (4\/8)\/(1\/z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 15\/14 (c) -7.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = -5*h - 35 + 5, l + 10 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1888 + 612 + 431 - 560*p**2 + 416 + 429 + 562*p**2.\nAnswer: 2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - -bd59?\nAnswer: bd5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Do 157\/1358 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -235710 rounded to the nearest one thousand?\nAnswer: -236000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 217505536 and 104192?\nAnswer: 9472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -59*l - 69*l - l**2 + 125*l + 0*l**2 - 4*l**2 - l**3. Calculate z(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 0\/((-4)\/(-26) + 30\/(-26)). Let d(l) = l + 9. Let z be d(-8). Suppose -k = -0 - z. Is k > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/15)\/((-1736)\/6510)*-5*6?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 + 0)*(-65*x - x - 169*x).\nAnswer: -705*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6 - 2*n**2 - 6)*(42*n**2 - 93*n**2 - 5*n**2) + 2*n**4 + 0*n**4 - n**4 to the form g*n**4 + v + k*n**2 + l*n + m*n**3 and give g.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (130\/52)\/((25\/10)\/(-5)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -87\/19 + -553\/95. Let g be (1233\/(-24))\/((-3)\/2). Let z = g + -29. Find the common denominator of z and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 25 = 74. Let k = 39 - w. Let f be (0 + -15)*(-4)\/5. What is the highest common factor of k and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (2 - -3 - 9) - 13.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3361 - -3598. What is the highest common factor of 24 and v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m and 2 j when four letters picked without replacement from mjmjmmmnxmmjxmmxmmj.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ztff when four letters picked without replacement from fzftftfz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41364697.\nAnswer: 11, 103, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(1\/4)*j*j*j\/(j*j\/(j**(-4)*j))*j**6\/((j*j**3\/j*j)\/j))\/((j\/(j\/j**(1\/4))*j)**(-6\/5))**42 assuming j is positive.\nAnswer: j**(259\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -28, -54, -80, -106, -132?\n\"Answer: -26*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 19. Let p(q) = 9*q**3 - 2*q**2 + 2*q - 1. Calculate p(v).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.955527 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00082881861 rounded to four dps?\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*p**3\/2 - 20157*p**2\/2 + 33868797*p\/2 - 33848643\/2.\nAnswer: 3*(p - 3359)**2*(p - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5920932.\nAnswer: 2, 3, 19, 25969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 - ((-45)\/(-35) + -3). Let z = 5\/5948 - 672299\/208180. Let p = 17\/7 + z. What is the nearest to j in -5, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(2*((-7)\/(-2))\/7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g - 81*g - 13*g)*(-2*g**4 + 0*g**4 + 0*g**4).\nAnswer: 200*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 821275.9cm in millimeters?\nAnswer: 8212759","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 - -18. Let n = k + -11. Suppose 3*o = 34 - n. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*w - 2*t = 14, 5 + 9 = 5*w - 2*t for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -899555*t**4 - t**2 + 4862*t - 15?\nAnswer: -21589320*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, -22, -36, -56, -82, -114?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:05 PM and 11:43 PM?\nAnswer: 98","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 264?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 7, h: 1, y: 10}. Give prob of picking 4 x.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 442645 to the nearest integer?\nAnswer: 665","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*r**3 - 6*r + 6*r)*(-1 + 15*r + 4 - 1).\nAnswer: -60*r**4 - 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes after 11:07 PM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*(-9)\/3. Solve -v*q = -8*q - 30 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -12099 (b) -6 (c) 5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the third derivative of m**4\/4 + m**3\/2 + m**2. Suppose 0 = 11*u - 4*u - 238. Let z be 3445\/(-1105) - ((-4)\/u + 0). Determine w(z).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2957205, 2957291, 2957377, 2957463, 2957549?\nAnswer: 2957635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 69 = -5*l. What is the derivative of -3 + l - 5*u + 21 - 8*u**2 - 10 wrt u?\nAnswer: -16*u - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 748 and 293590.\nAnswer: 587180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -26472, -52048, -77620, -103188, -128752, -154312, -179868?\nAnswer: -205420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of -2*o**3\/3 - 3. Let m(g) = g. What is m(q(b))?\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -14. Let m = 0.9 + 2.1. Which is the second biggest value? (a) w (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/359, -3, 1\/13, 2\/7, 28\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10\/(-1500))\/((-2580)\/(-21500))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1175 and 91505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z = 4*y + 210, -5*z + 12 + 453 = 5*y. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xb when two letters picked without replacement from {w: 3, b: 2, x: 10}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (0 + -13 + -5 + 51).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -44455000 rounded to the nearest 1000000?\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 473392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.4 - 0.5. Let b = -0.7 + 5.7. What is the closest to j in 2, -5, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3)\/((p*p*p**0)\/p)*p*p\/p**(1\/6)*p*p*p**(-2\/3)\/p*p*p)**(-5\/4) assuming p is positive.\nAnswer: p**(-215\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22251*g + 11112*g + 11123*g + 113 to n*g + a and give a.\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 9 = 6*t - 3*r, -4*t - 4*r = 32 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (-2 - -10) - -8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u - v - 2*v + 36, -5*u + 48 = 2*v. Let w = -5 + u. Suppose w*l = l + 4. What is the closest to l in 4, 5, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1035*z + 7035 = -29190 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 14 = b, -15 = v + 5*b - 19. Is (23928\/(-32))\/(v\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + x)*(-6*x + 8*x + 11*x)*(1 - 1 - 2) + (7 - 3 - 2)*(3*x**2 - x**2 - x**2).\nAnswer: -24*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -703?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -68*-1.9.\nAnswer: 129.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (5*sqrt(153)*4 - ((sqrt(153) - (sqrt(153)*1)**2)*1 - sqrt(153))) + -1 + -1 + -3.\nAnswer: 146 + 60*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 - 12*r**2 + 13*r - 6. Let a be 1*(8 + 3 - 0). What is the tens digit of m(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2452 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 205715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**10)**(10\/7)*(m*m\/(m*m**(-18)))**(3\/34) assuming m is positive.\nAnswer: m**(3799\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1)\/y)**49\/(y**(1\/5)*y\/((y**2*y)\/y))*((y**0)**(-1\/69))**32 assuming y is positive.\nAnswer: y**(-486\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 71 plus 5449.94454?\nAnswer: 5520.94454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3597 (base 12) to base 10.\nAnswer: -6019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 127479*z**3 - 9*z**2 + 8397 wrt z?\nAnswer: 764874","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.3 - 21.618. Let w = 0.118 + i. Let l = -2 - 2. What is the biggest value in l, w, -1\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*t + 3*t, 0 = 4*c - 3*t. Suppose -j - 4*y = -10, c*y = 2*j + 5*y - 23. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 38014119 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2511867 to the power of 1\/2, to the nearest integer?\nAnswer: 1585","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 z when two letters picked without replacement from {z: 3, l: 3, p: 1}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1251\/6191?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 - 38*w**3 - 2*w**3 - 74*w**3.\nAnswer: -114*w**3 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t + 4*t + 0*t)*(0*t + 3*t + 5*t) to z + w*t + h*t**2 and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1524511671?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 u when three letters picked without replacement from uuuuuwwwuwwuwuuw?\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xbwvbexwp. Give prob of sequence pev.\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -13*n**4 - 17*n**2 + 56*n. Let g(c) = 4*c**4 + 6*c**2 - 19*c. Let p(r) = 17*g(r) + 6*y(r). Find the second derivative of p(s) wrt s.\nAnswer: -120*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 1\/5, 1, 1657, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 246*o = 255*o - 90. Let b = -36 - -50. Calculate the smallest common multiple of b and o.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**2 - 6*u + 1. Let n be f(-5). Suppose -q + 4 = v, -n*q - 4*v = -q - 15. Suppose -3*r - z = -r + 5, -5 = -r - 2*z. Sort q, r, -2.\nAnswer: r, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11617 - -19802. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/27)\/((-17)\/(-102)) - 8\/(-2).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95, 161, 201, 215, 203, 165, 101?\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9635 and 29140.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (3\/(-15) - 36\/45) + 4906.\nAnswer: 3, 5, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -5*j + 2*a, 0 = 3*j + 4*a. Suppose 4*m + 4*k = 16, m + 6 = k + 3*k. Solve 3*b = -m*n - 5, 2*n - 3*b - 3 + 14 = j for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*y**3 + 21052443*a**3 + 2*a**2*y**2 - a**2 - 91*a*y - 2148*a - 2*y**3 + y**2 wrt a.\nAnswer: -12*y**3 + 126314658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 17*l**3\/5 + 32*l**2\/5 + 13*l\/5 - 2\/5 = 0.\nAnswer: -1, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u**4 + u**4 - u**4)*(3 - 1 - 1) - 2*u**4 + 5*u**4 + u**4 + 4*u**4 - 3*u**4 + 0*u**4.\nAnswer: 7*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4 and 99\/10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 1 (b) -5\/3 (c) 0.3 (d) -3.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 9*g**3 + 7*g + 4. Let v be 7\/(-4) + 5967\/468. Let w(m) = -19*m**3 - 13*m - 7. Calculate v*s(d) + 6*w(d).\nAnswer: -15*d**3 - d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 6*q**2 + 3*q + 4*q**2 + 54879*q**3 + q - 6*q**2 + 5. Suppose -2*a + 5 = -a. Let r be i(a). What is r rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 13.36364131 from -33104.\nAnswer: -33117.36364131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 37 divided by 4848652.\nAnswer: 37\/4848652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-12)*-537 - (0 + -1). Suppose 6*l = 3*l + n. Find the third derivative of -60*g**4 - 26*g**6 + l*g**4 - 3*g**2 wrt g.\nAnswer: -3120*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*(v\/v**(-2\/11))\/v*v\/v**1)\/(v**0)**(6\/7)*(v\/(v**(-2\/3)\/v*v))**(16\/11)\/(v**(-1))**5 assuming v is positive.\nAnswer: v**(284\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 18. Let f(j) = -j**3 + 7*j**2 + j + 1. What is the smallest common multiple of f(7) and g?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 808730090 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, h: 1, a: 1, o: 1, s: 2, k: 1}. Give prob of sequence kmo.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:18 PM and 11:26 PM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -5, -2, 170 in decreasing order.\nAnswer: 170, 2, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - d = -0*d - 94, -z + 5*d + 88 = 0. Suppose -2*p + 13 = -z. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 + -2 + -9 + 558 + -588?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.7 and 0.8448?\nAnswer: 2.28096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 71 - 68. Let p be (-2 + 6\/4)*-2. What is the remainder when h is divided by (p + 2)\/(-3) - -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/14*(-162)\/486.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*m = 89*m - 64 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/4 - 1\/4*j**2 - 3\/2*j.\nAnswer: -(j + 1)*(j + 5)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 2, q: 6, n: 3, u: 1, k: 2}. Give prob of picking 1 q and 1 k.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 46 + -26. Suppose 300 = 14*a - 9*a. Calculate the greatest common divisor of a and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 45 - 3*l.\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -7. What is the nearest to 3\/4 in 0.5, w, -5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -164*d**2 - 1109*d**2 - 195*d**2 as s + x*d + i*d**2 and give i.\nAnswer: -1468","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, l: 3, g: 3, x: 2, v: 2}. What is prob of sequence lug?\nAnswer: 9\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3076, -12033, -26868, -47581?\n\"Answer: -2939*q**2 - 140*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -589*h**2 - 373*h. Let r(v) = 1179*v**2 + 753*v. Let t(i) = 5*l(i) + 2*r(i). Find the second derivative of t(m) wrt m.\nAnswer: -1174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 13\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1390*h + 1454*h - 2872*h.\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 440 and 176?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -22*h**2 - 3*h + 345. Let u(x) = -x**2. Calculate r(u(k)).\nAnswer: 44*k**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.723 from 279993.44061.\nAnswer: 279986.71761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((120\/(-25))\/4)\/((-112)\/420)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 8*d**2 + 8*d - 8. Let z = 5 - -2. Let m be j(z). Let y be (5 - m)*(-16 + 15). Let t(l) = -l - 8. Determine t(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/3821652 and -41\/84.\nAnswer: 26751564","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*w - 11*w + 1414 - 18*w - 383.\nAnswer: -24*w + 1031","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 6*t**3 + 11*t**2 + 1. Let n(x) = 18*x**3 + 36*x**2 + 2. Determine -3*n(g) + 8*y(g).\nAnswer: -6*g**3 - 20*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2167bb (base 13) in base 4?\nAnswer: -2333310002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1470243, 1470280, 1470349, 1470462, 1470631, 1470868, 1471185?\nAnswer: 1471594","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 18113?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxxvxvxxx. What is prob of sequence vxv?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(-6))\/(z\/(z\/(z*z**(3\/2)*z)*z)))**(2\/7))**11 assuming z is positive.\nAnswer: z**(-165\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9735109\/192 + 50704. Calculate the common denominator of h and -115\/288.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -6*z**2. Let j(l) = 5*l + 2. Let g(k) = -81*k - 33. Let p(b) = 2*g(b) + 33*j(b). Calculate p(f(t)).\nAnswer: -18*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 - 9. Factor -2*v**4 - 2*v**2 + 3*v**4 + v**t + v + 0*v**5 - v**5.\nAnswer: -v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-2)\/(-32) - 5\/40. Suppose 3*k - k - 5*m = 23, 0 = -2*k - 3*m - 1. Let r = -7 + k. Put -4, g, r in descending order.\nAnswer: g, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.18 (b) 7.78 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -691, 3, -3, 1, -41 in descending order.\nAnswer: 3, 1, -3, -7, -41, -691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*y**5 + 1034411*y**4 + 108824720*y.\nAnswer: -60*y**3 + 12412932*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1319776662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 41*s**2 - 51*s + 60. Let c(v) = 20*v**2 - 30*v + 31. Let l(b) = -9*c(b) + 5*n(b). Let i(j) = -12*j**2 - 7*j - 10. Determine -13*i(a) - 6*l(a).\nAnswer: 6*a**2 + a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/((-4)\/((-10)\/5))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -3, 718 in decreasing order.\nAnswer: 718, 4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.3471 - 341.7529. What is l rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.627457 rounded to the nearest 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 - -20. Which is the closest to -1\/2? (a) u (b) 1\/3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 402 - -1796. List the prime factors of j.\nAnswer: 2, 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -55*d - 26. What is the tens digit of i(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 6*l**2 + 8. Let m be g(6). Let t(v) = v**3 - 7*v**2 + v + 1. Let z be t(7). Is m >= z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -6 + 5 + 1 + (-180)\/68 and 39\/17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**3 + 22*q**2 + 29*q - 48. Let x be l(23). Suppose 3*d - 106 = 5*m, -x - 58 = -4*d + 5*m. What is the common denominator of 71\/15 and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + u = 0. Suppose -2*l = -4*i - 20, l + i - 1 - 9 = u. Solve s - l = 6*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u - 5. Let a be g(5). Let m be (-136)\/(-10) - 9\/a. Suppose 5*x = -3 + m. Calculate the remainder when 5 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 30203 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1002934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**5\/5 - 6812*g**4\/5 - 5921228*g**3\/5 - 204889328*g**2\/5 - 78408442*g - 38613460 = 0.\nAnswer: -1685, -34, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2473 + -2470. Put 2, z, -1, -14 in ascending order.\nAnswer: -14, -1, 2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of 0*s + 0*s**3 + 1\/2*s**2 - 2 - 9\/16*s**4 + 1\/8*s**6 + 1\/10*s**5. Find n such that l(n) = 0.\nAnswer: -2, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 2.98. Let g = -3.98 - h. What is the closest to 0 in 5, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1343 - 0?\nAnswer: -1343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h = -5*o - 16*h - 14, -4*o = 2*h + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -2) + -8 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**2 - 8*b + 9. Let y be q(7). Let f be 0\/y + 6\/54. Let s = 4.88 - -0.12. What is the biggest value in s, f, -3\/4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + g + 12481 = 0, 4*g + 20286 = 4*d - 4666. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 878 + -874. Sort b, 5, 1.4 in increasing order.\nAnswer: 1.4, b, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 2280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 0*r + 3*m - 28 = 0, -2*r = -4*m + 56. What is the thousands digit of (-6 - (344\/r - -2))*357?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/5, 0.5, 0.04, 2\/3, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 - -47. Let j(x) = 4*x. Let s be j(4). Factor 8*p - 40*p + 4*p**4 - s + q*p**3 + 16*p**3 - 4*p**5 - 4*p**2.\nAnswer: -4*(p - 2)**2*(p + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*j + 8 = 0. Let u be 2*6\/j - -29. Let w = u - 16. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 32 - -13 - 1\/(-1)*0. Suppose -j - 114 = -3*s. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*t + 18 = 1. Let r be ((t + 0)\/(-2))\/1. What is the nearest to r in 0.5, -0.08, 0.3?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*a**3 - 61*a**3 - 259*a**3 - 56*a**3 + 432*a**3.\nAnswer: -6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 170 - 170. Suppose 3*q - 6 = z, c + 4*q - 1947 = -q. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(85)*-1 + sqrt(85))\/(sqrt(720)*-1 - sqrt(5)) - 2*(1 + 2*sqrt(833)).\nAnswer: -367*sqrt(17)\/13 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1023140 by 204628.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34978*o = 35528*o - 9900 for o.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10401 + -5?\nAnswer: 10363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 198*p**2 + 2108*p - 107. What is y(-11)?\nAnswer: 663","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -955, -1920, -2885, -3850?\nAnswer: -4815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 208129 rounded to the nearest 1000?\nAnswer: 208000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 42\/(-216)*6\/(-28). Let f(j) be the third derivative of 2*j**2 - k*j**4 + 0 + 0*j - 1\/60*j**5 + 1\/3*j**3. Find w, given that f(w) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 151613?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0954740981 rounded to six decimal places?\nAnswer: -0.095474","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x**3 - 7*x - 6. Let z = -19 - -18. Let i(y) = 3*y - 2 + 5 - 4 - 4*y + y**3. What is z*w(c) + 6*i(c)?\nAnswer: c**3 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -278122?\nAnswer: 278120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bbz when three letters picked without replacement from {v: 1, l: 6, z: 1, b: 10, f: 2}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 104265.63s to days.\nAnswer: 1.206778125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c + c - c**2 + (-1 + c + 1)*(-4*c + c + c) - 2*c**2 + 4*c**2 + 0*c**2 + 2*c**2 + 1 - c - 8*c + 8*c.\nAnswer: c**2 - c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -555 - -800. List the prime factors of t.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 - 4*l**4 + 5*l**4 + (0*l**2 + 4*l**2 - 3*l**2)*(2*l**2 + l**2 - l**2) - 122*l**4 - 7*l**4 - 27*l**4.\nAnswer: -152*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 495007 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/(6\/(7\/7))\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 173.98 + 4.02. Let n = h - 177. Which is the second smallest value? (a) n (b) -5 (c) 69\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*1*(-656820)\/(-426933)\nAnswer: -20\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-1\/11)*y*y**33\/y*(y\/y**(-1\/25))**(-19) assuming y is positive.\nAnswer: y**(3616\/275)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -754 - -759. What is the fourth biggest value in -0.2, -17, y, 0.1?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2 + 5*o - 3. Let l(v) = v**3 + 2*v**2 + 10*v - 5. Give -3*l(r) + 5*m(r).\nAnswer: -3*r**3 - r**2 - 5*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 51.632569 to 1 decimal place.\nAnswer: 51.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.2, 2\/7, 5, 4 in descending order.\nAnswer: 5, 4, 3, 2\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/108)\/((-3)\/(-84))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -47876 + -3?\nAnswer: -47879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2001 + -1220?\nAnswer: -10221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 7. Let k be (-1)\/(((-1)\/(-1))\/h). Let f be -2 - 2 - 0\/((-2)\/2). Which is greater: k or f?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-48)\/(-15) - 3. Suppose 4*u + 3 = -m + 21, -10 = -m - 2*u. Let r = m + -2. What is the third smallest value in r, s, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.015483 rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 24.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 8:38 AM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f + 1. Let m be t(-1). Let w = m - 3. Suppose -2*r = -4*r - 2*c + 8, -5*c + 2 = 2*r. Solve -r = 2*q - w for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 3*k = 5. Let f(u) = 33*u**2 + u + 1. Let d be f(k). Calculate the greatest common divisor of 315 and d.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j - 5. Let a(g) = g - 4. Let f(v) = 7*a(v) - 6*t(v). Give f(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -5 + (2 - 6)\/(-2). Let q be 0 - (4 - -4) - (4 + -10). Let g = 7\/10 - 11\/10. What is the nearest to g in u, q, 2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 35.3735413 and -0.3199.\nAnswer: 35.0536413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42244, 39583, 36946, 34345, 31792, 29299, 26878?\n\"Answer: 2*u**3 - 2675*u + 44917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 1843 = -1883 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 43152055019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13110 + 39565 = 11*a. Suppose -5*w - 5613 = -36688. Suppose -a + 27195 = 4*q + 2*k, -3*k = -q + w. Round q to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -18779.7 rounded to the nearest ten?\nAnswer: -18780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4583 = 38*w - 34223. Let m = 1537 - w. What are the prime factors of m?\nAnswer: 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (-64 - (44 + -40))?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n + 4*n + 60*n**2 - 67*n**2. Let c(f) = 3*f + 1. Let a(j) = 7*j + 2. Let w(b) = -a(b) + 2*c(b). Determine p(w(g)).\nAnswer: -7*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 3*k + 21, c = -3*c + k + 22. Solve c = -0*s + s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a kilogram in grams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/(a**3\/a))\/a)\/a)**15 assuming a is positive.\nAnswer: a**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8)\/52 + (-4)\/(-26). Suppose w = s + d - 407, -2*s + 3*d = 2*s - 1642. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2 - 74*z - 680 = 0. Calculate z.\nAnswer: -20, -17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/5? (a) 2\/11 (b) -5 (c) 5 (d) 0.1515\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 8*z. Let t(l) = -695*l + 2. What is t(f(k))?\nAnswer: -5560*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*x - 3*x + 4*x)*(23*x**3 - 23*x**3 - 7*x**4 - 2).\nAnswer: 91*x**5 + 26*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 12*c + 66. Let h = 11 - 26. What is the remainder when 161\/2 - (-1)\/2 is divided by i(h)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z**3 - 472*z + 204. Calculate p(-6).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -21, -47, -89, -153, -245, -371, -537, -749?\n\"Answer: -j**3 - 2*j**2 - 13*j - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -614*o**2*x - 3*o**2 - 7*o*x + 44*o + 3*x wrt o.\nAnswer: -1228*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -4*b - 6. Let j(s) be the third derivative of 0 + 0*s - 1\/4*s**4 - 10*s**2 - 3\/2*s**3. Determine 5*j(n) - 7*o(n).\nAnswer: -2*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -1062, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 31496 and 12568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -21. Calculate the greatest common divisor of 18 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/(-16)*-2)\/(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbubbbb. What is prob of picking 4 b?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21.7 - 25.7. Let r = 0.1 - -0.3. Sort r, 4, c in decreasing order.\nAnswer: 4, r, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -104632 by -638.\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1317\/4829 + 842080\/11 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -340 = -3*u - n, 0*n + 5*n - 205 = -2*u. What is the remainder when u is divided by 71?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 6*k - 48 + 48. Let y(f) = -11*f. Determine y(s(m)).\nAnswer: -66*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -3*m - 3. Let d(w) = w**2 - 10. Let y be d(-3). Let k be l(y). Let z be (-4)\/16 + 372\/1616. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 19 - 82. Let b = v - -443\/7. Suppose 3*k + 3*c = 4*c + 1, 0 = 4*k + 4*c - 12. Which is smaller: b or k?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5.723 + -5.7. Let n = -0.0313 + b. What is n rounded to 3 dps?\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + sqrt(288) + -1*sqrt(288) + 5 + 2)**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 281787 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 5 - 49\/(-21)*21. What is the greatest common factor of i and 162?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66) + sqrt(66) + (sqrt(66) - (sqrt(66) - sqrt(66)*2) - sqrt(66))*1)\/(sqrt(600) - (sqrt(600) + (sqrt(600)*1 - sqrt(600)) + sqrt(600))).\nAnswer: -3*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 20 = 5*p, 2*l = -0*l. Let v(k) = -k**3 - k**2 + 2*k - 3. Is v(p) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00240079 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/180 - 7*d**3\/6 + 7*d**2. Let s(l) be the first derivative of v(l). Let j(u) = 4*u**2. Determine s(j(i)).\nAnswer: -32*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -26\/417 and -67\/148035?\nAnswer: 148035","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6 + -5.8. Suppose 13 = -3*n - 11. Let l be 2\/n + 1\/4. Which is the nearest to l? (a) m (b) 1 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 4, u: 15}. Give prob of sequence upp.\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1587, 3517, 5447, 7377, 9307, 11237?\nAnswer: 13167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 2 = 5*u - 3*s, 0 = -u + 2*s - 2. Suppose 17*g = -43 + 77. What is the second derivative of -6063*h**2 - g*h + 19*h**5 + 6063*h**u wrt h?\nAnswer: 380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -80 + 87. Suppose -4 = -8*r + o*r. Let z = -0.4 + -2.6. What is the closest to -1 in -0.1, z, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - -13a8943?\nAnswer: 13a8947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 1373133?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, f: 5, i: 3, x: 5, g: 5}. What is prob of sequence fi?\nAnswer: 5\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**2 - 1770*f - 1767 = 0.\nAnswer: -589, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -514, 5, -5, 23\/7, 6?\nAnswer: -514","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 166*t = -4*f + 424*t - 16, 2*t = -4*f - 16 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -40408 + 40413. Let c = -13 + 22. Solve -2*f = -u*f - c for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:00 AM and 8:33 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50242772?\nAnswer: 2, 61, 205913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23.1 + 26. Let j = 0.23 - 0.33. Let p = j - n. Which is the smallest value? (a) -2\/17 (b) p (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 4 + 2 + 1 + 3 - 2 - 1 + 0 + 2 + (-1 - 3 + 2)*(-2 + 3 + 0) + 0 + 1 + 1)*(-13*d - 6 + 4*d + 6*d).\nAnswer: 18*d + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2480472023\/392 - 6327745. Let y = 6\/49 + b. Calculate the common denominator of 109\/10 and y.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1324 + -589?\nAnswer: -18b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 16*d**3 + 14*d**2 - 44*d + 14. Let m(b) = 3*b**3 + 3*b**2 - 9*b + 3. Calculate 3*f(i) - 14*m(i).\nAnswer: 6*i**3 - 6*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64236315 and 25025.\nAnswer: 715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-20)\/(-8))\/(2\/4). Let n(y) = 5 - j*y - 5. Let f(g) = -g. What is f(n(z))?\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -21 + 29. Suppose -h + f = h. Solve 4*n - c = 0, -h*n + 4*c = -6 - 6 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13 = 2*l + 3*n, 462*l - 13 = 467*l + n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -179, -268, -357, -446, -535?\nAnswer: -624","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108445*t + 108479*t = -2380 for t.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add 696.19 and 13463.\nAnswer: 14159.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -6*s**2 + 2*s + 3. Let m be x(-2). Let k(g) = g**3 + 24*g**2 - 30*g + 2. What is the units digit of k(m)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87055 divided by 17411.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.9 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -6*p**4 + 2*p**2 + 2*p - 8. Suppose 4*t - 10 = 2*t. Let x(g) = 11*g**4 - 5*g**2 - 5*g + 17. Let v(u) = t*z(u) + 2*x(u). Differentiate v(h) wrt h.\nAnswer: -32*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 526546.4mg to nanograms.\nAnswer: 526546400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -2.53.\nAnswer: -0.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 5\/2 - (-1)\/(-4)*-2. Suppose 3*t - 6 = 2*t. What is the greatest common factor of t and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 99*j + 1395. Let b be h(82). What is the highest common factor of b and 659?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2. Let l(o) be the first derivative of -8*o**2 + 15. Calculate w(l(x)).\nAnswer: -256*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 divided by 8060?\nAnswer: 7\/260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 10:37 PM?\nAnswer: 10:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-380)*4*-2.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 4*i)*(-5 + 0 + 4) - 2*i + 6 - 5 + 2.\nAnswer: -6*i + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/9))\/(v\/v**(-8)))**(-14)\/((v**5\/v*(v\/v**(2\/9))\/v)\/((v**(-6)*v)\/v**0)) assuming v is positive.\nAnswer: v**(943\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 2*b + 50. Let c be f(-4). Is c <= 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2153727 divided by 94\nAnswer: -2153727\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/17 - 8*y**2\/17 - 1374*y\/17 + 8100\/17.\nAnswer: 2*(y - 25)*(y - 6)*(y + 27)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 28\/182 + 20\/39. Let m be 2\/(-18)*12\/(-8). Which is the nearest to m? (a) 0.2 (b) 3\/7 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -68.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 2 = 3*r - f, 3*r - 8 = -f. What are the prime factors of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -2 + (5 - (3 + 0)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(14\/6 - 2). Let y(q) = 3*q**2 - 10*q + 5. Let p(z) = 13*z**2 - 41*z + 20. Let u(r) = 2*p(r) - 9*y(r). Let w be u(7). Solve w = g*j - 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**2 - a. Let u be p(0). Let b = u + 3. Suppose f + b*g + 13 = 0, -4*g - 23 = -f - 1. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -28\/115 and -119\/50?\nAnswer: 1150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*d - 7100 = 583*d for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -122313 (base 4) to base 6\nAnswer: -11543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2162840+-175\nAnswer: -2163015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 10 - 44 = 0. Suppose 0 = -3*c + 3*r + 9, -c = c + 3*r - 16. Suppose -c = 3*s - i. Solve -s*q = f - 14, -3*q = -2*f + 5*f - 6 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 7*i**3 + i**2 - i - 1. Let w be 9\/(-7) - (-12)\/42. Give d(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.044 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -225*p + 3371. Let g be f(15). Which is the fifth biggest value? (a) 2 (b) 3 (c) -0.2 (d) g (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11197, -11226, -11209, -11110, -10893, -10522, -9961, -9174?\nAnswer: -8125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -13*6\/(-2)*1830\/549 and 39.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - ((-336)\/18)\/(3\/63). Suppose -95*o + 89*o = -l. Calculate the highest common divisor of o and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**3 - 20055*g**2 - 31387608*g + 62855460 = 0.\nAnswer: -4182, -2505, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 66*x + 73*x = 55, 0 = 2*x + 2*x - 40. Factor 2\/3*p**4 - 6*p + 22*p**2 - 22\/3*p**t - 36.\nAnswer: 2*(p - 6)*(p - 3)**2*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -18*k - 149. Let t be p(-8). Sort t, -4, 26 in descending order.\nAnswer: 26, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.3, 10845, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:37 AM and 8:40 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -26, -53, -82, -113, -146, -181, -218?\n\"Answer: -m**2 - 24*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/105603 (b) -5 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(243) + sqrt(243))**2 + sqrt(243))*4 - ((-6*sqrt(441) + sqrt(441))\/sqrt(3))**2.\nAnswer: 36*sqrt(3) + 11877","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33583?\nAnswer: 11, 43, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -30723 - -6?\nAnswer: -30715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = j - 1595, -5*j + 8*j - 5*o = 4685. Suppose 3*p = -7*p + j. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*j - 3*d - 3 - 1, 4*d = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 18. Give w(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the first derivative of 178*z**3 - 5*z**2\/2 - 12*z + 11. Let r be w(-5). Suppose -7*h = r + 12537. What is h rounded to the nearest one thousand?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i**3 - 7*i**3 - 2*i**3 + (0 - i**2 + 0)*(-2 + 2 + i) to x*i**2 + n*i**3 + f + w*i and give n.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -3*k + 48. What is the remainder when ((-8)\/14)\/(4070\/(-1015) + 4) is divided by n(6)?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 7 (b) 2 (c) -3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 123?\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 305 - 274. What is the remainder when 83 is divided by t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -14. Suppose -m - 3 = 0, 0 = -4*f + 5*m - 1 + 24. Suppose 0 = 3*z + f - 11. Calculate the remainder when y is divided by z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -13966, -28907, -43850, -58795, -73742, -88691?\n\"Answer: -i**2 - 14938*i + 973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j - 3*j - 4 = 2*t, -3*t + 8 = -2*j for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -21213 - 2233011?\nAnswer: -2304224","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1635260095 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -3.376 times 0.080915\nAnswer: -0.27316904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 484 = 1152. Suppose -m = 6*o - 58. Let g = o - -45. Which is the closest to 0.1? (a) g (b) 1\/3 (c) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -10 - -14. Let k(h) = -4 - 2*h + w. Let l(f) = 1993*f + 40. Let m(b) = 685*b + 13. Let y(t) = -l(t) + 3*m(t). Determine y(k(d)).\nAnswer: -124*d - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 i, and 1 l when three letters picked without replacement from luiuuiiu.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-121)\/10 - 1\/(-10). Let z be (2 - 30\/12)*f. Which is the smallest value? (a) -4 (b) z (c) -5\/4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14607.26 centimeters to millimeters.\nAnswer: 146072.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eifkkizzkkki. What is prob of picking 1 f and 1 k?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 6 = -5*n + 28, -5*f + 38 = 4*n. Let h be 4\/f - 8\/12. Solve 0 = -h*d + 2*d + 8 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that -15*s**2 - 2*s**4 + 4*s**4 + 13*s**4 - 5*s**3 + 5*s = 0.\nAnswer: -1, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.8? (a) -1\/3 (b) 2\/147 (c) 3125\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 647, 5170, 17443, 41342, 80743?\n\"Answer: 646*m**3 - m**2 + 4*m - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14 - -9. Suppose -f + 15 = -6*f. Put u, -1, f in decreasing order.\nAnswer: -1, f, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q + 2*q - 2*q + 4. Let v be (-4 + 3)\/(2\/4). Let k(j) = j**3 + j**2 - 1. Let i be k(v). What is o(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2696, -3, -2\/11, 6, -5, -0.2 in ascending order.\nAnswer: -5, -3, -0.2, -2\/11, 6, 2696","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 3*v - 6 = 0, -2*a - 4*v - 2 = -0*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 1 - 2)*(r - r - 3*r) - 53 + 53 - 58*r to j + w*r and give w.\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/3))**8)**(3\/17) assuming h is positive.\nAnswer: h**(-8\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/((-35)\/20 + 1). Suppose 0 = 4*r - 20, m*r = 4*b + 9 - 21. Calculate the remainder when b is divided by 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 10*a**2 + a - 1. Let i be (-1 - -3)*(-2)\/4. Let y be o(i). What is the greatest common divisor of 4 and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 600155182293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(-5)*14*175\/(-420)*(-315)\/(-175).\nAnswer: 21\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0*p - 32*p**2 - 1\/105*p**5 + 3 - 2\/7*p**3 - 2\/21*p**4. Factor f(l).\nAnswer: -4*(l + 1)*(l + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 72951, 291301, 654293, 1161171, 1811179, 2603561, 3537561?\n\"Answer: -126*m**3 + 73077*m**2 + m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 72?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3180 and 3202896.\nAnswer: 16014480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 132055.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 3642400.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 19072 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3232845\/41052)\/((-35)\/(-36)).\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.15 - 20.85. Let z = -17.4 - m. Let n = z + -0.6. Put -2\/11, -1, n in decreasing order.\nAnswer: n, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9182 + 3*j**2 + 1619 + 47*j - 88.\nAnswer: 3*j**2 + 47*j - 7651","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13189902?\nAnswer: 2, 3, 11, 23, 8689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3007)\/(-310) + -1 + 2)*8. Let j be 1*86 + 1\/(-1). Let l = y - j. What is the smallest value in -6, 2, l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 343649136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**3\/3 - 20*b**2\/3 + 5*b\/3 + 20\/3.\nAnswer: -5*(b - 1)*(b + 1)*(b + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + (29 - 6) + (5 - -1 - 35 - -2)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.3, 0, 3.2139, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 2284147 = b, 3*c + 1510032 = -2*b + 139541. Let h = c - -316829. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-251923.\nAnswer: 5038.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.2 (b) -3 (c) -610 (d) -0.5 (e) 5 (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 p, and 1 n when four letters picked without replacement from {l: 3, p: 1, n: 5, b: 7}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(1080)\/sqrt(6)*-4.\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 298 - 36. Let u = 482 - 448. Calculate the remainder when o is divided by u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 2, -13.7 in decreasing order.\nAnswer: 5, 2, -13.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*k**3 - 17*k**3 - 18*k**3 + 48*k**3.\nAnswer: -k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22\/(-8)*(10 + 6). Let d = 0 - o. What is the greatest common divisor of d and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*u + 47*u = 85 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6091\/6 less than -1014?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1040868 and 3382821?\nAnswer: 13531284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000016200723 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a1 - -2?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*w = 9, -59*w = g - 61*w + 20. Let u(f) = f**2 - 23*f - 165. Give u(g).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -100 - 8 = -18*w. Let o(b) = 18*b. Let s be o(-1). Let l be (-1 - 14\/s) + w\/27. Solve 0 = 2*n + 5*k + 5, 2 = n + k - l for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**5 + 5125*c**4 + 25603*c**3 + 15355*c**2 - 25604*c - 20480 = 0. Calculate c.\nAnswer: -5120, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 304254567 to the power of 1\/2, to the nearest integer?\nAnswer: 17443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 5*b**3 - 2*b**2 + 5*b - 12. Let h be c(-5). Let z = h - -1102. What is the hundreds digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**2 - 7*j - 4. Let o be d(-6). Suppose 0 = -t + 3*i + o - 1, 0 = -4*i + 16. What is the least common multiple of t and 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (200*m + 4*m + 46*m + 292*m)*(2*m + 4 - 3 + 1).\nAnswer: 1084*m**2 + 1084*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from azaaaaazzzaaaa. What is prob of sequence aaaz?\nAnswer: 120\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 72 and 774?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 48*g**4 - 244*g**3 + 384*g**2 - 144*g - 64 = 0.\nAnswer: -1\/4, 4\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (sqrt(272)*5 - sqrt(17)))*3.\nAnswer: -54*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**2 - 26*a + 32. Let k be n(24). Let h be (k*(-3)\/(-18))\/(2\/(-3)). Sort 3, 5, h in decreasing order.\nAnswer: 5, h, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnllnn. What is prob of picking 2 n?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 20*f + 62. Let i(s) = 16*s + 146. Let k be i(-8). Does 14 divide w(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + -2. Let a be (y - (2 + -2))*0. Suppose 4*p - 18 = -z - a*p, 4*p - 20 = -2*z. What is the lowest common multiple of z and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5344 - -11052. Suppose k = -h - 4*j + j, -2*h - 5*j = 11420. What is h rounded to the nearest 100?\nAnswer: -5700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-147270)\/(-56) + 24\/32. Suppose -7902 = -3*v + w, 6*w - 4*w = -5*v + 13181. Let o = l - v. What is the common denominator of -58\/15 and o?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 3*c**3 + 56*c**2 - 8*c - 38. What are the prime factors of o(-18)?\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/918 and 187\/27180.\nAnswer: 1386180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -15, -51, -127, -261, -471, -775?\n\"Answer: -3*p**3 - 2*p**2 - 9*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2467?\nAnswer: 2467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*y - 6*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -0.231*104\nAnswer: -24.024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 132867.78 to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 18075*w + 2921589.\nAnswer: (w + 162)*(w + 72138)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-17 + 2 + 6)*(2*v**3 + 2 - 2) + v**3 - 2 + 7*v**3 - 3*v**3 as p*v**2 + q + x*v**3 + y*v and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 440807 to the nearest integer?\nAnswer: 664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -960 = 46*q + 80*q + 34*q for q.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -522\/847?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - -2 - 1)\/(-1 + 2). Let w(b) = -b + 50. Let j be w(i). Let l(g) = 53*g**2 - 105*g**2 + j*g**2. Let s(r) = -23*r**2. What is l(s(x))?\nAnswer: -1058*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4, 2*v - 14*o + 18*o = 12. Suppose 0 = -v*g + 8 + 8. Solve g*w = 1 + 7 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 - a + 7. Let c = -9 + 9. Let l be s(c). What is the third derivative of -l*r**2 + r**3 - 10*r**2 + 20*r**2 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 33\/15*5 + -4. Suppose -m + 76 = 2*v, u*m = 12*m - v - 347. Calculate the smallest common multiple of 42 and m.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-66)\/14 - (-4)\/(-14). Let t(o) = -o - 1. Let m(h) = -h**2 - 14*h - 17. Let p(l) = m(l) - 6*t(l). Let b be p(a). Solve -3*z = -b*z + 2 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 97 = -53. Round w to the nearest ten.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 22 - 19 = 0. Suppose -78 - 10 = -w*p - 5*n, 0 = -3*p - 4*n + 83. Solve -5 = 4*t - p for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - 7*c**2 + 813*c + 419. Let d be a(-32). Factor 6*x - 1 - 21\/4*x**2 + 5\/4*x**d.\nAnswer: (x - 2)**2*(5*x - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5075000 rounded to the nearest 100000?\nAnswer: 5100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.8 + 171.8. Let o = -168.000307 + a. Round o to 4 decimal places.\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4920, -4921, -4922?\n\"Answer: -g - 4919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-10\/3)*q)**(31\/3))**(-43) assuming q is positive.\nAnswer: q**(-21328\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2998 is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -355 * -4\nAnswer: 1420","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 65310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 97. Is l a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 772 - -2?\nAnswer: 774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190 = -8*t - 10. Let j = t + 27. Suppose 2*i + 25 = 4*b + 65, 0 = -4*i - j*b + 80. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 914 + -594. Is p a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 0) + 26\/1365*-14 - 3\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1.6+-28920\nAnswer: -28921.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.8? (a) 160 (b) 4 (c) -2 (d) 1546\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16\/(-40))\/(4\/(-5)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45824, -91646, -137466, -183284?\nAnswer: -229100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 60\/7 and 32473 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 + 107721.15886.\nAnswer: 107721.55886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 560*r + 617677. Calculate u(-1103).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, 94, 246, 500, 880, 1410, 2114?\nAnswer: 3016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/5, 4\/3, 4, -4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - -1 - (-17 + 16).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12281, -12635, -12999, -13379, -13781, -14211, -14675, -15179?\n\"Answer: -n**3 + n**2 - 350*n - 11931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.099 - -0.0992281. What is k rounded to five decimal places?\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f + f - 3 = -j, -2*j - 3 = -f. Let w = f + -1. Let s = w + -2. Which is greater: s or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 4, -313, 0.06, 139, -0.02?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - -57 - (-5 - -2)) + 24 + 22 + -56?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -27 (c) 0 (d) -0.04 (e) 2 (f) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (8 - 4) - -3 - 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 10 = 3*b, b - 2 = -4*v - 1. Let q = 1.2 - 1. Let g = -1.8 - q. What is the closest to v in -5, g, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-7)*a**(-1\/4))**34*(a**4\/(a\/(a**(-9)\/a)))**(-9\/4) assuming a is positive.\nAnswer: a**(-787\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2*3 + -4 + 1. Let d = 0.2 + -0.3. Let v = 4.9 - d. Which is the second smallest value? (a) v (b) 1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2767549 (base 10) in base 14?\nAnswer: -520821","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1414320 to the power of 1\/2, to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, b: 4}. Give prob of picking 1 b and 2 j.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 43145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -122 + -134?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -8a (base 12) to base 9\nAnswer: -127","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the second derivative of v**7\/2100 - v**6\/180 + 2*v**5\/75 - v**4\/15 + 2*v**3\/3 + 2*v. Let s(i) be the second derivative of b(i). Factor s(k).\nAnswer: 2*(k - 2)**2*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 - 101. Let w(v) = 6*v**2 - v - 2. Calculate w(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 - -0.6. Let u = -0.05 + -7.95. What is the third biggest value in j, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-4 - (4 + 63171\/(-12))) + (-5)\/20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxcc. What is prob of sequence xxcx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.082 + -0.918. What is the third smallest value in 0.3, -7\/3, v?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3027)\/(-6) - (-7)\/14. Let f = -370 - -719. Let b = t - f. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2221 (base 4) to base 2.\nAnswer: -10101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 113025\/2 + -56514. Let w = 151 - 90. Sort b, w, 2\/9 in increasing order.\nAnswer: b, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5002*b**4 + b**3 + 3*b**2 - 444825*b.\nAnswer: -60024*b**2 + 6*b + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrhrrhrlrlrlllrr. What is prob of picking 2 h?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3a877 (base 13) to base 16\nAnswer: 1aa2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-4*(-3 + 1 + sqrt(833) + 1)*-1)**2*-3.\nAnswer: -3360*sqrt(17) + 200160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1001\/130 + 5\/(-25))\/(3\/(-4))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ivivvi. What is prob of sequence ii?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((15\/(-39))\/1)\/((-3974)\/(-671606))?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101000011 + -100000001?\nAnswer: 11001000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1242.26039 to the nearest integer.\nAnswer: 1242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/3)*(((((o*o*o**4)\/o)\/o)\/o)\/o*o)\/o)**(-19) assuming o is positive.\nAnswer: o**(-76\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -27\/34 and -26\/51.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z**2 - 219 - 218 + 7*z**2 + 437.\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -10 + 16 - 16*w - w**3 + 7*w**2 + 8*w + 14. Let t be i(6). Calculate the highest common factor of 72 and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 480471, 480559, 480713, 480939, 481243?\nAnswer: 481631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2492445 to the nearest integer?\nAnswer: 1579","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.1, -1\/331031, -4.\nAnswer: -4, -0.1, -1\/331031, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 + 26. Is f a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 2*s = 6, 7 + 3 = 2*s. Calculate the remainder when 17 is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 AM and 9:00 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94 is divided by 53?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -49304 * 39.\nAnswer: -1922856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*s - 28 = 0, 116*u = 90*u + 3*s + 140 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*m**2 - m**2 - m**2 + 55*m.\nAnswer: -4*m**2 + 55*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, -1, 307 in ascending order.\nAnswer: -12, -1, 307","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 100 - 98. Let m(j) = j**2 - 2*j - j**2 + 18 + j**i - j. Does 12 divide m(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.5, -0.3, -6.5, -4, 6\/13, -0.1, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t + 2*r = -7*t + 21, 2*t = 5*r - 21 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -52284 - -3647847. Let i = v + -3595201.9366. Let y = -361 + i. What is y rounded to 2 dps?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 7*s = -20 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*n**4 - 49 - 66 - 3072*n + 115 + 48*n**3 - 640*n**2 + n**5.\nAnswer: n*(n - 6)*(n + 8)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -116 + 67. Let o(g) = -g**3 - 49*g**2 - 16*g + 86. What are the prime factors of o(z)?\nAnswer: 2, 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 4156061 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -0*o + 1145. Suppose 5*j = o + 166. Suppose -j - 5 = -3*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -5. Suppose 2*i = -2*n + 48, o*n - 36 = n - 5*i. What are the prime factors of n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -27 + 27.1. Which is smaller: g or 45?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**3*t)\/t)*t)\/t**13)\/((t\/t**2)\/t)**(-4) assuming t is positive.\nAnswer: t**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6\/37 - 393\/370. Let a = b + 1\/2. Let m = -4\/13 + 21\/26. What is the closest to a in 1\/3, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2140 divided by 155?\nAnswer: 428\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 392\/3 - 84*l - 1\/3*l**3 + 10*l**2 = 0.\nAnswer: 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6129808786?\nAnswer: 2, 3064904393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are 11\/16 and 2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 144 * 11.\nAnswer: 1584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (((-160)\/16)\/((-1)\/2))\/((20 + -21)*2)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qbt when three letters picked without replacement from mjhhmbhtmmhjmthhqbj.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 10\/15 - (-634)\/(-6). Let r = x - -194. Round r to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35.1 - -0.08.\nAnswer: -35.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -31548 + 31626. Solve 0 = n*y - 23 + 101 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 6*k - 3*k = -17483, -4*t - 5*k = -17475. Suppose 4*y = -y + t. What are the prime factors of y?\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1089 is divided by 84?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -3036 (base 9) in base 4?\nAnswer: -202230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 23 - 14. Suppose 172 = -2*y + 6*y. What is the remainder when y is divided by p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 933739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nbbra. What is prob of sequence bbr?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-21)\/4 + (7 + 0 - 2). What is the second smallest value in 5, 10, 0, g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0 (b) 2\/49 (c) -0.3 (d) -2 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a. Let u = 11454 + -11466. Let r(n) = 32*n. What is u*f(z) - 2*r(z)?\nAnswer: -52*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.0678 and 1291.\nAnswer: 1291.0678","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2 - 2121*k + 403188. What is a(137)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (56 + -37 - 80) + (2 + 0 - 4)?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -352, 1, 4, -3 in ascending order.\nAnswer: -352, -3, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6)\/8)\/(145\/(-72) - -2). Suppose -58*n = -s*n. Solve -5*p - b = -3*p + 6, n = -4*p - 5*b for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 0 + 3)*(-t + 4*t - t) - 6*t + 13 - 13)*(5*t + 0*t - 4*t)*(19 + 3 - 3).\nAnswer: -190*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -47657, -47647, -47627, -47591, -47533, -47447?\n\"Answer: r**3 - r**2 + 6*r - 47663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -2 - -18) + -25 + 31. Solve m*t = 11*t - 28 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*i - d = -25*i + 90, 9 = -3*d. Solve -o = 27 - i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7973209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 12637.08 months?\nAnswer: 105.309","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1777 - -1780. Solve 0 = r*m - 5*z - 29, -3*m + 6*z = 10*z + 7 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -7. Let c be -2 - (-4 + -1 - 2). Suppose 2*w - 3*d = 12, -7 = -c*w - 6*d + 2*d. Solve w*t = -t + s for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*z**2 + 9*z**2 - 16*z**2 - 6*z**3.\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 - 5*j**2 - 4*j - 2. Let h = 59 + -61. Give v(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - 8*x**2 + 6*x - 12. Let k be q(-9). Let b = k - 5. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/11537 at least as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1\/6))**3 assuming r is positive.\nAnswer: r**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100100001010110 - -10?\nAnswer: 100100001011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2*l**3 + 5395 + 2*l**2 - 10790 + 173*l**4 + 5397 to y*l + z*l**2 + r*l**4 + n*l**3 + q and give r.\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 11 = 3*t + f, -3*f - 22 = 4*t. Let q(h) = -h + 16. Let p be q(t). Solve o + 15 = p for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -6*h**2 + 4*h - 3. Let t be n(2). Let y = -15 - t. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -18*m**4 + 7338*m**3 + 596134*m**2 - 399866*m + 66780 = 0.\nAnswer: -70, 1\/3, 477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2*(sqrt(242)*5 - sqrt(242))**2 + (sqrt(8)\/(sqrt(32)\/sqrt(8)) - (-3*sqrt(128) - sqrt(128))**2).\nAnswer: sqrt(2) + 5694","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -7 + 4*z - 3*z + 0. Suppose 11 = 4*f + l, 4*f - 7*l + 4*l = 31. Let v be j(f). Is -4 at least as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23.76 rounded to the nearest integer?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -117*z**2 - 358*z - 3. Let v be r(-3). Solve 17*o + v = -o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*j + 25 = -2*j. List the prime factors of (j\/10)\/(1\/80).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 143, 142, 141, 140, 139?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-214 + 214 + 43*n**2 + (-3*n + 3*n - 4*n)*(-n + 4*n - n) + n**2 - 5 + 5 + 2*n - 2*n + n**2)*(0*n**3 - n**3 + 0*n**3).\nAnswer: -37*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -174 divided by 58?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56*l + 20*l + 24*l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (351\/(-26))\/(24\/(-16)). Solve 3*x = 4*q - d, -3*q - 5*x - 15 = -0*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -5\/41 and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 - 8*l**2 + 11*l + 7. Let j be c(6). Does 24 divide 1 + j - (-1 + -61)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence flff when four letters picked without replacement from {f: 11, l: 5}?\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 59.19 - 59.29. Suppose -2*z = -4*t - 58, 8*t = -4*z + 3*t + 90. Let g be ((-5)\/z)\/(48\/(-10)). Which is smaller: g or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4692 - -4683. What is the fourth smallest value in k, 1, -49, 1\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -25 + 30. Which is the third biggest value? (a) q (b) 1\/2 (c) -3 (d) -3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5496 - 769. List the prime factors of q.\nAnswer: 29, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000068892 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*f = 90*f + 117. Let y(k) = 6*k**2. Let a(z) = -z**2 - 3*z + 3. Let g(u) = u**2 + 2*u - 2. Let b(i) = 2*a(i) + 3*g(i). Determine f*b(l) - 6*y(l).\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -452933 + 452933 + 605*k to r*k + h and give r.\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/90 and 81\/100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -1 - (-14)\/(1 + (-23)\/24)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 126*f - 2*f**3 - 119*f - 2 + 7*f**2 + 2*f**3 + 4*f**3 - 2*f**3 in the form q*f + k*f**3 + r*f**2 + i and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 0*s - 2\/13*s**4 + 12\/13*s**2 + 2\/13*s**3.\nAnswer: -2*s**2*(s - 3)*(s + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 - r - 1. Calculate x(0).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 32116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = u + 4. Let o be t(-3). Let p(x) = -x**2 - 4*x - 2. Let l be p(-3). Let j be o*(1 - -2*l). Calculate the highest common divisor of 1 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6300) - -1*sqrt(6300))\/(sqrt(18)\/(sqrt(8)\/sqrt(4))).\nAnswer: 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -144, -273, -398, -519?\nAnswer: -636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 8*y**2 - 316*y + 55. Is o(45) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 780 and 12740?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2, -1\/5, 0.3, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + sqrt(45))*2)\/sqrt(9).\nAnswer: 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-15) + (-3636)\/4545)\/(1 + (-175)\/177).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1089724180?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -32823873 - 3*d + 32823884 + 0*d. Suppose c - 1 = 5. Determine j(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*q**3 + 25*q**3 - 61*q**3 + 16*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 362036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 88956 and 31731.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/252*-3 - 1*365\/(-1155).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-35))\/((80\/8)\/(-80))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 2*g + 0*g - 14 = 0, a - 4*g = 14. Let v(f) = -a*f + f + 3*f + 1. Give v(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41537734?\nAnswer: 2, 7, 2966981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5. Let v be 28\/(-3)*(-2 + i). What is the common denominator of (-874)\/(-70) + (-8)\/v and 5\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 + 147. Let o(q) = c*q + 21*q + 7*q + 1. Is o(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 + 121 = q. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 79361448 and -19705.\nAnswer: 79341743","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8 - 111. Is -119 at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = l + 4*l. Suppose -4*u = -3*u - l. Suppose -3 = -k + 4*k. Sort 1, u, k in descending order.\nAnswer: u, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, -1.508, -418, 1 in descending order.\nAnswer: 1, 0, -0.1, -1.508, -418","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -431 divided by -2?\nAnswer: 431\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**2 - 4. Let o(s) = 4*s**2 - 2*s + 3. Let p(d) = -13*d**2 + 7*d - 8. Let f(m) = -7*o(m) - 2*p(m). What is 4*f(j) - 5*l(j)?\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k - f = 11, 7 = 2*k - 3*f - 10 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 9:30 PM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 4*u - 5. Let c be q(-4). Let m = c + -23. Solve -z + 2*z - m = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130 a factor of 55250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*p = 35 - 35. Let k(l) be the second derivative of 0*l**4 + 1\/6*l**3 + p*l**2 + 0 + 3\/10*l**5 - l. What is the second derivative of k(v) wrt v?\nAnswer: 36*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l. Let a(v) = 10*v. Let k(z) = -3*z**2 + 4*z - 4. Let i be k(1). Let p(q) = -10*q. Let y(g) = i*a(g) - 4*p(g). Give j(y(o)).\nAnswer: -20*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-12) + (-5 - (-118)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 405702\/1998 + -2 + 144\/74. What is the greatest common factor of 1943 and y?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5, e: 3, o: 3, w: 1, j: 1, p: 5}. Give prob of picking 2 m, 1 j, and 1 w.\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9751 + -9735. Solve -2*n = 2*x + 3*x + 18, -3*n = 2*x + d for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7*(-7)\/(-70)*8\/14?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 33*(-4 + 7 - 2). Let q = -28 + a. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3.51 (b) 1\/9 (c) -1 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 40*x**2 + 8749*x**3 - 8751*x**3 - 2*x + x - x as m*x + j*x**2 + r + d*x**3 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 26. Suppose -3*b = -0*b + 2*k - 92, 104 = 3*b + 5*k. Let g = b - r. Solve -1 = -3*d + g for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 290524.\nAnswer: -5\/290524","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 7\/(-21) + (-16641)\/(-27). Calculate the highest common divisor of u and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-8)\/(-12))\/((-2)\/(-12)). Suppose 67 = 3*h + m - 2*m, 140 = 5*h + r*m. Is h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5665*b**4 - 8854*b**3 - 2*b**2 - 16491210*b.\nAnswer: -135960*b - 53124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-8)\/(-5))\/((-22)\/(-55)). Suppose 2*q - 340 = -4*v, 3*q - 95 = -t*v + 405. Let o = -48 + q. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2582 or -2688?\nAnswer: -2688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1225\/(-42))\/(-35)*(-90)\/(-350)?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -6*w**2 - 6*w + 4*w**2 + 3*w**2 + 4. Let h be g(6). Suppose -u = -2*j + 16, -5*u + 3 = 3*j - 21. Solve -2*d + 7 = h*o - d, -2*d + j = 5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + v**2 - v - 3. Let b(i) = -8*i**3 + 5*i**2 + 6*i - 29. What is -b(w) + 5*p(w)?\nAnswer: -2*w**3 - 11*w + 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.052116 rounded to 4 decimal places?\nAnswer: 0.0521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*c**2 + 4*c**2 - 8*c**3 - 5*c**4 + c**4 - 2*c + 11*c**3 to a*c**2 + f + q*c**3 + p*c + d*c**4 and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 237628 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 55\/4739?\nAnswer: 55\/4739","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3051\/2 - -1566. What is the common denominator of (-113)\/1130*138\/14 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10 + 10. Let h(n) = -n**3 + 2. Let m be h(k). Suppose 0*r = -r - m, 0 = -i + 2*r + 7. Solve 2 - i = y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8 - (-9 + 7)) + 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in j + 9 + 49*j**2 - j - 54*j**2.\nAnswer: -5*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*r + 23*r - 3*r.\nAnswer: 5*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -318.9059 - -336.905755. Let p = 45 + -27. Let c = p - o. What is c rounded to five dps?\nAnswer: 0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9099.39 years in decades?\nAnswer: 909.939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53830.63mg in kilograms?\nAnswer: 0.05383063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 6*z**2 - 7. Let w be (-5)\/(-2)*12\/15. Let n(j) = -j**3 + j**2 - 1. Let x be n(w). What is the remainder when 52 is divided by u(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -83882004 divided by 12\nAnswer: -6990167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 669 or 665?\nAnswer: 665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 255 + -245. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2281100201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1686914, -1686921, -1686928, -1686935, -1686942?\n\"Answer: -7*q - 1686907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1095582?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0002873t to milligrams.\nAnswer: 287300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 2*q - 32. Let u be (1\/(-2))\/(34\/q). Which is the biggest value? (a) 5 (b) u (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (30\/25)\/(2\/55) - 3. Suppose -4*q - s = -70. What is the remainder when 15 is divided by q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3197244?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1, 123, -313?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1972.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18998*b*c**2 - 15969*b - 2*c wrt c?\nAnswer: -37996*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 + 8*s**2 + s - 14. Let z be t(7). Calculate the greatest common divisor of 378 and z.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.7274 + 0.3274. Let y = 233\/4 + -58. What is the fourth smallest value in y, 3, -0.2, g?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -46*u. Let p(r) = -r**2. What is d(p(q))?\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n - 7*n. Is (42\/15 - n)*10 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16704 - -16711. What is the remainder when 24835 is divided by t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2340)\/24)\/13)\/(3\/6)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.003 - 0.003. Let o be -1*(4 - (-2 + 1)). Let x = 1\/24 + -11\/8. What is the nearest to -1 in a, o, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.81326 decades in months?\nAnswer: 2857.5912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-one quarters of a litre?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 77*f**2 - 190*f**2 + 33*f**2.\nAnswer: -80*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 784\/(-40) + 13 - (-14)\/4*2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24.6 - -168.6. Let r = z + -137. Let d = 0.4 + 2.6. What is the nearest to 0.3 in d, -1\/2, r?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1190149?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6574991 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -5*k**3 + 7*k**2 - 2*k + 2. Let c(u) = -5*u**3 + 9*u**2 - 3*u + 1. Calculate -3*b(y) + 2*c(y).\nAnswer: 5*y**3 - 3*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of k**9\/5040 + k**8\/1400 - k**7\/1050 - 5*k**4\/6 - 11*k. Let a(s) be the third derivative of o(s). Solve a(f) = 0.\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l**3 - 39621*l**2 + 69060582*l = 0. Calculate l.\nAnswer: -14766, 0, 1559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -98*f**3 + 8*f**2 + 11*f - 7. Is a(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1457\/30 - 242\/5. What is the closest to 0 in -5, 0, -7, r?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.1588 + -0.8412. What is the closest to d in -2\/9, -17, -0.2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 3 (c) -1\/3 (d) 63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 - 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1180 = -11*h + 56*h + 14*h for h.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 11*l**2 - 59*l - 68. Is p(42) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z**2 - 1305*z - 12141. Calculate m(-135).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 31, 6, 5, -13 in ascending order.\nAnswer: -13, 5, 6, 31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {b: 1, v: 3, f: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 10 = -2*z. Suppose 3*g + 42 = 3*j, g + z*g - 64 = -4*j. List the prime factors of j.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8686, 38305, 88852, 160327?\n\"Answer: 10464*h**2 - 1773*h - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttgthjrfggjfg. What is prob of picking 3 g and 1 h?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of -q**6\/10 + 23*q**4\/4 - 28*q**3\/3 - q**2 + 146*q. Find the second derivative of a(i) wrt i.\nAnswer: -36*i**2 + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 6. Let z = 34 + -29. What is the closest to 0.1 in 3, m, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + sqrt(11)*-3*-1 - (sqrt(44) + 5 + -2))**2.\nAnswer: 2*sqrt(11) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-26)\/169)\/(3\/(-9)*(-30)\/(-20)).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 divided by 2396236?\nAnswer: 27\/1198118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -66*n**2 - 1378*n - 2768. Calculate u(-2).\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(1100) + sqrt(1100) + (1 + sqrt(1100) - sqrt(1100)) + 2) + 2*(sqrt(176) - (1 + sqrt(176))*2)**2.\nAnswer: 52*sqrt(11) + 363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5543 - 55377\/10. Find the common denominator of -35\/4 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 3230?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7015280743 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, -0.05, 1\/5, 0.039, 2\/3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m + 5 - 2 + m + 0*m + 4*m - 3*m + (-29 - 16 + 16)*(-4 + 2*m + 4).\nAnswer: -56*m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.9 - 4.1. Let d = 6 - 2.1. Let a = -4 + d. Put x, 1, a in decreasing order.\nAnswer: 1, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes after 4:55 AM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkwwwkwwywkkwwkkwkw. Give prob of sequence wky.\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -301*z = -304*z + 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-132)\/(-77)*-4 - -6\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -175 + 251. Let w be (-118 - -2)\/(-2) - 3. Let n be 96\/5 - 11\/w. Calculate the greatest common factor of n and x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1 - -2) + 4 - (265 - 247) - 26) + -2.\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1319.2 + -1319.2. Which is the closest to h? (a) 2 (b) 0.03 (c) 7 (d) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283310368 a multiple of 88?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25)\/((-875)\/(-28)))\/(-1*54\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**6\/120 + d**5\/20 - 5*d**4\/24 + d**3\/2 - d**2. Let o be f(2). Let m be -3 - o*4\/4. Solve -8 = -4*s - m*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -56 + 50. Which is smaller: q or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20001121220 (base 3) in base 12?\nAnswer: -59043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - 14*q**2 + 15*q + 2. Let r be a(-15). Let x(l) = 11 - 4 - r*l + 3*l. What is the units digit of x(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -482 - -486. Let r(z) = -z**2 + 8. Let t be r(-7). Put f, t, -5 in ascending order.\nAnswer: t, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91 = -6*k - k. Let y = 31 + -15. Let i = y + k. Solve -7*g + i*g + 2 = -m, -3*g = m - 5 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*s + 71, -5*s = -3*r - s - 237. Let q = -73 - r. Suppose 44 = 5*c - l, -q = 2*l - 2. Solve 0 = f + 7 - c for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 1 + i**3 + 7*i**2 - i - 5*i**2 - 3 + 0*i**2. Calculate x(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = v**3 - 4*v**2 - 2*v + 1. Suppose -11*z = 42*z - 265. Give r(z).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2.5 - 2.4. Is f < 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1984039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 2, o: 1, x: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h + 3*h - 264 + 146 to p + r*h and give p.\nAnswer: -118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/(-2)*32\/(-2112)*-22.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2, -878817, -3, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/((-4)\/(-2)) - -3. What is the third derivative of s**2 - 2*s**2 + 0*s**o - s**5 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/6 - (-2)\/12. Sort h, -10, -2 in decreasing order.\nAnswer: h, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 6:37 AM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2617?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*l + 252 = -11*l + l, -f + 3*l - 184 = -2*l for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15550\/40 + 2\/8?\nAnswer: 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -9*r. Let l(c) = -21*c - 480. Let b be l(-23). Let q(f) be the second derivative of 0*f**2 - 5\/3*f**b + 4*f + 0. Calculate -5*q(w) + 6*y(w).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.57? (a) -3 (b) -4\/147 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2240*y**2 + 30*y + 80*y**2 - 30*y.\nAnswer: 2320*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-54)\/(-45)*(-10)\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -228016, -233260, -238518, -243796, -249100, -254436, -259810, -265228?\nAnswer: -270696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 583*h - 1152 = 455*h. Solve -21*g - 96 - h = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2309315 (base 13) to base 6.\nAnswer: 1023115255","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -1. Let f(k) = 11*k + 5. Suppose -13*z = 7 - 72. What is z*s(i) + f(i)?\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 - -14. What is the greatest common divisor of 91 and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - -144?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1947 is divided by 515.\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -589*h + 195*h - 34*h**2 + 2*h**3 + 85*h**2 - 11 + 199*h + 194*h to v*h**2 + u*h + g*h**3 + s and give g.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*g = 8*g + 20. Which is bigger: g or -6\/8695?\nAnswer: -6\/8695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 - -22. Which is the closest to -1? (a) 4 (b) o (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 11, j: 4, q: 4}. Give prob of picking 4 s.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 162157?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.4042731 millennia?\nAnswer: 4.042731","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2121235 (base 6) in base 16?\nAnswer: 19637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by (13\/(-2) + 3)*-2 - -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-5 - 43\/(-8)). Suppose -k*b = -18*b + 68. Calculate the highest common divisor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11*(7\/35)\/((-231)\/35)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 16*q**2 - 24*q = 0. Calculate q.\nAnswer: 0, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 12:04 AM?\nAnswer: 4:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(187)*2*-4 - sqrt(187))*6)\/(sqrt(275) - (1*sqrt(275) + sqrt(275)) - -5*(sqrt(11) + sqrt(11)*2)))**2.\nAnswer: 12393\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20208122749 + 20208119032.8882054. Let b = h - -3695.1118. Let f = -21 - b. What is f rounded to 6 dps?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -692 - -4077. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 - 127 = -43*p. Let k be (-18)\/(-30)*6\/(-9). Which is the nearest to -3? (a) p (b) 3 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 586 greater than or equal to 592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 1071*o**3 + 5*o**2 - 1374. Let n(r) = -1070*r**3 - 6*r**2 + 1373. Let c(j) = -5*n(j) - 6*z(j). What is the first derivative of c(w) wrt w?\nAnswer: -3228*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 139*s - 5573732 = -1450575. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -35152 divided by 12296.\nAnswer: -4394\/1537","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -341 (base 6) to base 11.\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900171 a multiple of 186?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 120 + -12?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*x**2 + 3*x**2 - 1183744 + 1183747.\nAnswer: 14*x**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -122*g*n + 274*g wrt n.\nAnswer: -122*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 10 times -0.3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 77338446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2101*n**2 + 2*n - 1008.\nAnswer: 4202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-56850)\/60*(-2)\/5. Suppose 2*v - 1742 - d = 3*j, -5*j + 1080 = v. What is the hundreds digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 22, 41, 58, 73?\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 186*50\/11625*(-1 - ((-351)\/114)\/3).\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -155, -157, -167, -191, -235, -305, -407?\n\"Answer: -w**3 + 2*w**2 - w - 155","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 51 = 73. Let s = 622\/5 - p. Let j = -155 - -155. Which is the third biggest value? (a) -2 (b) s (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.86 - 1.4. Let g = o - -0.16. Let k = 0.12 - g. Which is the third biggest value? (a) 2 (b) k (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113*n + 351 - 115*n + 405 to i + x*n and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h**7))*h\/(h\/h**(-1\/7)))\/((h\/h**6*h)\/(h*h*h**(-6)*h)) assuming h is positive.\nAnswer: h**(62\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 72 and 9.2?\nAnswer: 62.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/286232 and -27\/386800.\nAnswer: 14311600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2171472*l**3 - 4342949*l**3 + 2171475*l**3.\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -313344 divided by -204?\nAnswer: 1536","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 574*c**2 - 16*c + 27. Is k(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -147076, -147073, -147068, -147061, -147052?\nAnswer: -147041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 4, -6\/47, 2\/19, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1720 is divided by 41?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + -2. Suppose -x + z - 12 = -s, -4*x - 14 = -2*s. Solve 4*r - r = s for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 62 = -4*g, 3*g - 35 = 2*r + g + 23 for r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(98) + sqrt(98)*-1 + -2)**2 + (sqrt(1452) + -2*sqrt(1452))\/sqrt(6) + -3.\nAnswer: -11*sqrt(2) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 0.0705079um?\nAnswer: 0.0000000705079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 24*f - 10*f - 1 - 15*f. Let y be w(-3). Solve -5 = y*a + 3*k - 0*k, -5 = 4*a + k for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1227711 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*w**2 - 3*w**2 - 2*w**2 + 25*w**3 + 2*w**2.\nAnswer: 25*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4502*m + 2201*m = -140361 for m.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4.952 - -0.048. Which is greater: z or 2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u + 6. What is i(7)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = 21*s - 24*s - 16, 4*s = -5*i - 42 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(6) - 6*(sqrt(6) - sqrt(24)\/sqrt(4))))\/((sqrt(54)\/sqrt(2) + sqrt(27))\/sqrt(9) - sqrt(3)*1*5).\nAnswer: -4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -127*k. Let n(j) = 1996*j**2 - j + 17. What is b(n(h))?\nAnswer: -253492*h**2 + 127*h - 2159","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3348255 to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -930160 rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22153, 27236, 32319, 37402?\n\"Answer: 5083*p + 17070","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 31015690 >= 31015688?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1337? (a) -4 (b) -2\/11 (c) 33 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103867, -207707, -311547?\nAnswer: -415387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16692\/5 - -16076\/5. Do a and -124 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*y + 11*y + 23*y - 4*y to the form f + p*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-four fifths of a minute?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f**2. Let z(i) be the first derivative of 82*i**3\/3 + 1805. What is k(z(o))?\nAnswer: -13448*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*w**2 - 2*w**4 - 9*w**2 - 2*w**4 - 10*w**2 wrt w.\nAnswer: -96*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9929719318 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3983c + b01?\nAnswer: 3a640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/10*5)\/(9\/(-90)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -2*h. Suppose -2*r - d - d + 110 = 0, 277 = 5*r + 4*d. Suppose -4*g + g + r = h. What are the prime factors of g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2892913 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 193*l - 42*l - 7910 = -95*l + 20*l for l.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -65, 2, 213, 652, 1403, 2550, 4177, 6368?\n\"Answer: 14*v**3 - 12*v**2 + 5*v - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -400*t**2 + 1 - 395*t**2 - 1 + 794*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 40 = 4*b, 4*b - b - 47 = -5*a. Suppose 0 = 2*n - 5*w - b, -3*n - 2*w + 2 = -2. What is the units digit of (13 - 7) + 2\/n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2270e (base 16) to base 3.\nAnswer: -21011111211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*z**4 + 408*z**2 + 114*z**3 - 3\/2*z**5 - 1920 - 288*z = 0.\nAnswer: -4, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -20 - (-55 + 38)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1016*l - 42286*l - 5316627 + 5316627.\nAnswer: -41270*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 53224221851 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -216 - -6?\nAnswer: -210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3*(-1 - 1\/(-3)). Suppose 23 = -52*p - 237. Let f be (-6)\/(-1 + -1 + 3). Put p, f, h in descending order.\nAnswer: h, p, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9266922 to the nearest 1000.\nAnswer: 9267000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68)*-1*-1 + sqrt(68) + 2*sqrt(68)*-1)\/(-4*(sqrt(4) + (sqrt(4) + -3*(-2*sqrt(4) + sqrt(4) - sqrt(4)) - sqrt(4)))))**2*2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52 by -9933.\nAnswer: -52\/9933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 193 + 316?\nAnswer: 509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2090 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ptm when three letters picked without replacement from mppct.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 9667060 divided by 743620\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 532\/(-630) + 6\/15?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2832 by 4.\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 774 and 162?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -69364 take away 11916326?\nAnswer: -11985690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 163\/8 + 0 - (-14 - (-1265)\/88)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-6 + 3)\/((-2)\/444). Let i = 1192 - z. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2475.662 to zero decimal places.\nAnswer: -2476","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -7410 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**6)**50\/((f\/(f*f\/(f\/(f*f**(-2\/9))*f)))\/f)**(-2\/27))**48 assuming f is positive.\nAnswer: f**(1166176\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -455 - -479. Calculate the least common multiple of 28 and a.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, n: 1, d: 1, k: 1, s: 1}. Give prob of picking 1 n and 1 k.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19319 + -0.7.\nAnswer: 19318.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2673 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1019873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 255*i + 3106 = 811 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49534?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28374735?\nAnswer: 3, 5, 73, 25913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(45) + sqrt(45)*-5) + -3*sqrt(1125))\/((sqrt(495)\/sqrt(176))\/(2*sqrt(125) + sqrt(5))).\nAnswer: -836*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + -121?\nAnswer: -201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -212084, -848418, -1908974, -3393752?\n\"Answer: -212111*q**2 - q + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -550370083*b**3 - 11968*b**2 - 6175 wrt b.\nAnswer: -3302220498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -1 + 20 + -16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*d - 67*d - 1332 = 181*d. Let b(k) be the third derivative of k**6\/24 - k**4\/6 - k**3\/2 + k**2. Let l(x) = 9*x**3 - 7*x - 5. Give d*l(s) + 10*b(s).\nAnswer: -4*s**3 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -8 * -0.0617\nAnswer: 0.4936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6.37 - -1.34. Let b = s + 0.03. Let w(z) = z**2 + 8*z + 7. Let x be w(-7). Put x, b, -2\/9 in decreasing order.\nAnswer: x, -2\/9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 (base 6) in base 7?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8782 or -8776?\nAnswer: -8776","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 3*h + m - 115, -5*m = 4*h - 161. Suppose 4*g + 60 = 3*o + o, -o + h = 5*g. Let p = 3 - -2. Solve -3*s + 0 + o = p*j, 4*j + 7 = 5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -44317*0.1\nAnswer: -4431.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 12:25 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -823\/11 (b) 2\/15 (c) 4 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(2\/9)*l))\/l*l**(1\/14))\/(l**1*l*l**(3\/4)\/l) assuming l is positive.\nAnswer: l**(-731\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 624217947?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*2*sqrt(119))\/((sqrt(7)*-2 + sqrt(7))*6) + (sqrt(1700) + -1 - sqrt(1700) - sqrt(1700))**2*3 + (sqrt(1700) - (0 + 3 + sqrt(1700)))**2.\nAnswer: 61*sqrt(17) + 5112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8860 + -6437. What is the remainder when w is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/(-14))\/(-1*2\/4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2685924 is divided by 29.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k + 39. Let b be t(-24). Let r be (2 - 1) + b\/12*-12. Calculate the highest common divisor of 25 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1422*v**5 + 28*v**4 + 2*v**3 + 658658*v.\nAnswer: -28440*v**3 + 336*v**2 + 12*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -6.1, -3 in increasing order.\nAnswer: -6.1, -3, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 (base 14) in base 3?\nAnswer: 2012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 g when three letters picked without replacement from {v: 2, g: 1, k: 1, q: 2, o: 2, e: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -342*c*y**2 + 82146*c*y + 4*c - 367472*y**2 - 771 wrt c.\nAnswer: -342*y**2 + 82146*y + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 31?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 80 = 8*z - 3 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 - -1102042?\nAnswer: 1102045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m\/(m*m**8))*m\/(m*m\/(m**(-7)\/m*m))*m*m*m**(-1\/7)*m*m\/((m*m\/(m\/(((m**4\/m)\/m)\/m)))\/m) assuming m is positive.\nAnswer: m**(27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**2*q + 2*k**2 + 117010*k - 120*q - 4500 with respect to k.\nAnswer: -6*k*q + 4*k + 117010","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*d + 2 + 4)*(5 - 5 + d).\nAnswer: -3*d**2 + 4*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-37870)\/(-4200) + (-14 - -7) - 14\/8.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14086*k = -14051*k - 3020045. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/21*(24\/(-16))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -16. Let h be -2 + (a - 2) + 4. Suppose -2*v + h*v + l = 473, 0 = 4*l + 8. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x + 8. Let b be q(6). Let z be (16\/b)\/(14\/7). Factor z*u + 2\/7*u**2 + 0.\nAnswer: 2*u*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/(-12) + 26\/(-12). Let l be 5*((-8)\/5 - q) + 0. Solve -l*d = 2*d - 5*b - 22, -4*b = 8 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2 + 599567*z - 7794540.\nAnswer: (z - 13)*(z + 599580)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 356925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8156 - 2?\nAnswer: 8154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00190583 rounded to five decimal places?\nAnswer: -0.00191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 62*b + 4*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*g = 4*g + 56. Let y(i) = -i. Let w(x) = -4*x + 10. Let f(z) = -w(z) + 2*y(z). Calculate the remainder when 15 is divided by f(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:59 PM?\nAnswer: 2:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of -49*m**6\/780 - 21*m**5\/65 - 5*m**4\/13 - 8*m**3\/39 + 69*m**2\/2 + 7*m. Let r(q) be the first derivative of d(q). Factor r(z).\nAnswer: -2*(z + 2)*(7*z + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 11414.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**2 + 22*p + 88. Is s(-6) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1986?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-32130)\/150*(-20)\/6 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 - 5 = 2*o + 4*i, i - 6 = -o. Suppose -o - 2 = -2*g - d, -3*d = 4*g - 14. Suppose g*q - 2 = -5*c + 102, 57 = q + 5*c. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 293571?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(4\/9))**43 assuming h is positive.\nAnswer: h**(172\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v - 4. Let p(o) = -o + 14. Suppose 2*u = 16 + 64. Let h = u - 23. Let g be p(h). Give t(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 2*p**2 - 4*p + 4. Let l be o(2). Suppose -y - 6 = l*m + 9, -y + 15 = -2*m. Solve 4*t + y = -t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2936*m**2 + 1205*m**2 + 1401*m**2)*((4 - 4 - 2)*(-3*m**2 - m**2 + 3*m**2) + 2*m**2 - 3*m**2 + 3*m**2).\nAnswer: -1320*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**3 - 2*m**2 - 4*m + 7. Let r be p(3). Let d(s) = 0*s - r + 0*s - 3*s + 2*s. Let j = 3 - 8. Calculate d(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1057a (base 11) to base 3\nAnswer: -210000220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(272)) - ((sqrt(272) - (sqrt(272) + 0)) + sqrt(272))*2)**2 + 4*(((sqrt(85)*-3)\/sqrt(5))**2 + 2 + sqrt(1088)).\nAnswer: 272*sqrt(17) + 3168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 5*x - 35. Let i = -138 - -145. Let a be p(i). Is a not equal to -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*g**3 + 10*g**3 - 4*g**3)*(-4*g - 10*g + 4*g) - 5*g**4 - g**4 - 5 - g**2 + g**2 in the form l*g**2 + w*g**3 + f*g**4 + x + r*g and give f.\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jeej when four letters picked without replacement from ejjeeeee.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 87*p + 1691. Determine u(-13).\nAnswer: 560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12462 times -0.4?\nAnswer: -4984.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7752 + -5651. List the prime factors of b.\nAnswer: 11, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*n**2 + 102 + n**3 - 2*n + 4*n**4 - 56 - 42 - n**4 - n**4 as f*n**2 + q*n + x*n**3 + d + s*n**4 and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**2 - 8*b - 6. Let w be o(8). Let a = 6 + w. Let d(g) = -g**2 + 34. Is d(a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 71*u**2 - 1 + 58*u**2.\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -i - 15 - 1059*i**3 - 116 - 2*i**2 + 1060*i**3 to p*i + s + n*i**2 + g*i**3 and give s.\nAnswer: -131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by 8.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -31, -197, -655, -1549, -3023, -5221, -8287?\n\"Answer: -24*d**3 - 2*d**2 + 8*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -3*p + 5*f - 12, -3*f = 4*p + 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -21 - 6. Let u = h + 27.1. Let q = 5.9 + u. Which is the closest to -1? (a) -1 (b) 0.3 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 11\/15022?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43 * 1.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 126 (b) 0 (c) -4 (d) 0.5 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19.13071 centuries to years.\nAnswer: 1913.071","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 7, 0, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1756.093 + -1757. Let s = f + -3.135. Let q = 0.042 + s. Sort -1\/4, 5, -0.1, q in descending order.\nAnswer: 5, -0.1, -1\/4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + w - 18 = 5*w, -3*w - 22 = -5*n. Suppose n = 3*h - 13. Suppose -2*f + 2*t - 4*t = -22, -2*f + h*t = -1. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -51 + 63. What is the lowest common multiple of g and 69\/46*(18 + 0)\/1?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -174 - -184.6. Let z = h + -10.365. What is z rounded to two dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: 101203 (base 4) to base 7\nAnswer: 3163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1\/56 + -1\/7. Which is the closest to -0.1? (a) 0.1 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-15)\/5 - (-10 + 7). Which is the second biggest value? (a) 2\/11 (b) -0.08 (c) 1 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 115, 217, 487, 1009, 1867, 3145, 4927?\n\"Answer: 14*w**3 + 4*w + 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that -59*v**2 - 66*v**2 - 169 - 265*v + 5*v**3 + 34 = 0.\nAnswer: -1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 405*p**2 - 42*p - 10. Is q(7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 1077 = 3*h, 2*h + 4*v - 552 - 166 = 0. Calculate the remainder when h is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443086187 to the power of 1\/3, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 4\/25 (b) -6 (c) -0.03\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/((62370\/(-525))\/33).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 7*w - 157. Let k(c) = -2*c**2. What is v(k(n))?\nAnswer: -14*n**2 - 157","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.296 + 0.504. Let a = 20.1 - 21. Let n = h + a. What is the nearest to -0.1 in 1\/5, n, 5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 200957?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382*k + 8512 + 6937 - 5517 = 0 for k.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14418?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t + 2*t = -33. Let o = -129 - -92. Let h = 34 + o. Is h > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -4*s**3 - 9*s + 5. Let d = 13 - 8. Let i(x) = 2*x**3 + d*x + 2 + 7*x**3 - 7*x**3 - 5. Determine 4*g(w) + 7*i(w).\nAnswer: -2*w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -259442 + 2642. What is g rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -15029883391559 and -4.\nAnswer: -15029883391563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 3:45 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the third derivative of 11*b**5\/30 - 49*b**4\/24 + 90*b**2 + 8*b. Let m(i) = 0. What is i?\nAnswer: 0, 49\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7811978 and 25.\nAnswer: 195299450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5 - 140\/21)*(-3)\/1. Suppose -11*o = -10*o + b, 5*j + o = 35. Solve -x - j = x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.54 + 0.24. Let i = 1088909 + -1088911.299948. Let w = q - i. What is w rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6894 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -54*d + 1854*d**3 - 1389*d**3 - 87*d + 19*d wrt d?\nAnswer: 2790*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3522 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4595*a - 15485532 + 15485532 + 1363*a.\nAnswer: -3232*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 + 6 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 7:26 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 - 2002000?\nAnswer: -2001331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - -18ab5?\nAnswer: 18ab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28577*g**2 + 6 - 6 - 24282*g**2)*(0*g + 0*g + 2*g).\nAnswer: 8590*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77454 - 13901 + 64964 = 5315*p + 957 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 7*x - 2. Suppose 0 = w + 4*w + 25. Let j = 2 - w. What is the remainder when v(4) is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*-1*(39\/(-6))\/13*26\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 u when three letters picked without replacement from uhrhhsthu.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o + 5 = 3*b, 4*o - 2*b + 19 - 1 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1399 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 + 34. What is the third derivative of y**5 - 17*y + d*y + 8*y**2 - 23*y**2 wrt y?\nAnswer: 60*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(143)*1)\/((sqrt(99) + -2*sqrt(99))\/sqrt(9)).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**7\/1680 + 31*a**6\/720 + a**5\/60 - 2*a**2. Let q(s) be the third derivative of l(s). Is q(0) 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 {f: 2, i: 2}. Give prob of sequence fif.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4309\/11 - -392. Let k = s + -1\/44. Which is the closest to -0.1? (a) 0 (b) k (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n + 44*n = -14*n - 32637. Which is smaller: -474 or n?\nAnswer: -474","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1713 is divided by 78?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1243805 and 0.1.\nAnswer: -124380.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a tonne in kilograms?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 9 - 4*m + 24*m + 11.\nAnswer: 20*m - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**2)**(2\/37)\/(b\/b**(-1\/4))**(-31\/4))\/(b*b*b*b**(-3)\/b*b*b**2*b)**(-38\/5) assuming b is positive.\nAnswer: b**(96483\/2960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 - 14. Let v be 4\/u*(-4)\/8. Which is the closest to v? (a) -2 (b) 1\/3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:37 PM and 1:13 AM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -104\/43 (b) -9 (c) 0.5 (d) 0.07 (e) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 4, -5\/3, -1\/3, 7, -6\/11?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -13.71 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56 + 56. Suppose h = -2*k + i + 6, 3*i - 4 = -5*k - 0. Suppose -3*l + k*p + 58 = -192, -4*l + 4*p + 340 = 0. Is 10 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 949040287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 27*l - 13. Let o be (-7)\/1*(-3 - -2). Suppose -l*i + 13 = g, i + o = 3*g + g. Solve g*h + 16 = -h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 562, 1094, 2540, 5356, 9998?\nAnswer: 16922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1173 and 4.\nAnswer: 4692","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 0 (c) -8 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*m + 5*g, -23*m + 26*m = 5*g - 9 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3\/2 + -31\/18. Let y be (-1 - 0)*(-9)\/27. Sort y, r, 2\/11, -5 in descending order.\nAnswer: y, 2\/11, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 1794724454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 72*o**3 + 374*o**2 + 63*o - 24. Give m(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**2 - 1178*s - 189. Let c(n) = 3*n**2 + 589*n + 96. Let j(l) = 7*c(l) + 4*w(l). Solve j(q) = 0 for q.\nAnswer: -84, -1\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22010 is divided by 881?\nAnswer: 866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 7, 2 in ascending order.\nAnswer: -70, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 633064.26 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3961 = 5*l - 1211. Let i be 20\/l*10\/(-2). Let q be (-1)\/16*-22 - 1. Put -3\/7, q, i in descending order.\nAnswer: q, i, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(-2*m - 2*m**4 + 2*m) + m**4 + 2*m**3 - 7*m**3 - 9*m**3.\nAnswer: 3*m**4 - 14*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10653 and 319992?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/((a\/(a**(-2\/9)\/a)*a)\/a)*a**(-1))**(-2\/25))**48 assuming a is positive.\nAnswer: a**(128\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138 + 38 = -88*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35f287 (base 16) in base 3?\nAnswer: -20122121210021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 63 and -177.83?\nAnswer: -11203.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 252467702 to the nearest integer?\nAnswer: 15889","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1005 + -961. Is v at most 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -6*f**2 - 86. Let c(z) = 12888*z**2. Calculate l(c(q)).\nAnswer: -996603264*q**4 - 86","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -4*j - 1. Suppose -4*w + j*w + 62 = -4*f, 0 = -4*w + 12. Let k = 27 + f. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/3 - 4766*w + 1010660\/3.\nAnswer: -2*(w - 70)*(w + 7219)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -89\/5. Let k = -10 + -35. Let l = -46 - k. What is the fourth smallest value in l, 4, f, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 25, 1134.1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-307)\/(-10745)*(-14)\/(-2)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 4*z**2 - 3*z - 4. Let j be u(3). Let t(h) = 17*h + 16*h + 18*h - j*h. Let q(p) = 2*p**2 - 35. What is q(t(k))?\nAnswer: 2*k**2 - 35","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.871 + 1.75. Let l = 5.979 - q. Round l to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3928, -4328, -4760, -5230, -5744, -6308, -6928, -7610?\n\"Answer: -y**3 - 10*y**2 - 363*y - 3554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 156, 122, 62, -24, -136, -274?\n\"Answer: -13*f**2 + 5*f + 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-1 + (0 - -3 - -4)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 + 14. Suppose 3*c + 0 = r + 4, r - 2 = 0. Calculate the smallest common multiple of c and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -69571*w**2 + 3*w + 340799 wrt w?\nAnswer: -139142*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r = 4*r + c + 5, -15 = -5*c for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = -2, -s - 9*m = -5*m + 1. Let j(k) = -3*k**2 - 9*k - 9. Let t(b) = 27 + 5*b + 2*b**2 - 9 - 13. Give s*j(q) + 5*t(q).\nAnswer: q**2 - 2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -68 - -267\/4. Let z be 2\/(-34) - (-78)\/170. Which is the nearest to 3? (a) 0.2 (b) k (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 4 = 7*u. List the prime factors of u\/(-3) - (-1900)\/30.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1.1 - 1.6. Which is the nearest to 2? (a) -0.2 (b) -0.3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = -5*c - 5*m + 10, -5*m - 10 = 0. Suppose -19 = -c*r + 9. Is r a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089000 rounded to the nearest 10000?\nAnswer: 1090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 33\/2344 and -73\/20.\nAnswer: 11720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -0.1, 2.9937, 8 in descending order.\nAnswer: 8, 2.9937, -0.1, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 11*w**2 + 11*w + 10. Let a be h(-10). Suppose 5*o + 38 - 68 = a. Solve -2*i + o = 3*r + 5, -r - i = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 18, -42, -254, -696, -1446, -2582, -4182?\n\"Answer: -13*m**3 + 2*m**2 + 25*m + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide -21*2*(-5 - -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes after 7:45 PM?\nAnswer: 5:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33691.\nAnswer: 7, 4813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/36*(48\/(-15840)*22)\/(3\/15)?\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -11*f**5\/5 - 4766*f**4\/5 + 42987*f**3\/5 + 246026*f**2\/5 + 316628*f\/5 + 68952\/5 = 0. What is f?\nAnswer: -442, -2, -3\/11, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 9) + 8 - 8?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seventy-five quarters of a century?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -12*w + 2*b + 14, -5*w - 5*b - 15 = 0. Solve -w*k + 4*k = 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of n**5\/20 - n**4\/24 - 2*n**2. Let g be j(1). Suppose 3*q - 4*f - 47 = 0, -g*q - 5*f = -q - 41. Is q a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of -d**4\/12 + d**3\/3 - 21*d + 19. Let v(k) be the first derivative of t(k). Let n(y) = 3*y**2 - 5*y. Give -2*n(x) - 5*v(x).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6537 - -11090. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/34360 and -3\/27488.\nAnswer: 137440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 929 - 290. Suppose 5*f = 5*a - 1550, -3*a + 319 = 4*f - h. Is a\/(-4)*(1 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16 - 6. Suppose 4*y + 8 = 2*n, 0 = 2*n + y - u + 2. Suppose -n*l + 168 = -0*l. What are the prime factors of l?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6 and -4461.\nAnswer: -4467","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 199135 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -407\/6 + 68. Let f(t) = -t + 8. Let r be f(5). Let q be (-1)\/36 - r\/(-12). Which is the nearest to q? (a) -0.2 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 193*t - 189*t. Suppose 0 = t*h + 13 - 41. Solve -2*k - 2*b = 0, -5*k + 2*b + 15 = h*b for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1744.\nAnswer: 2, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -3*v - 3. Let f be c(-2). Suppose -5*j = -n - 40, 1 = -f*j + 4*n + 8. Suppose 11 = 2*z - 7. What is the highest common divisor of z and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3482.\nAnswer: 2, 1741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-2)\/48*-3*-10\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/27, -0.1, -1, -2, 23?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**2 + 3*h**2 - 2*h**2)*(-438 + 766 - 490)*(7*h - 20 + 20).\nAnswer: -1134*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:02 AM and 4:11 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of n*w**6 - 2*n*w**3 + 4*n + 161*w**4 + 815*w**2 wrt w.\nAnswer: 120*n*w**3 - 12*n + 3864*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -8 - 2*c - 4*c + 1 + 1. List the prime factors of m(-3).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**3 - 3*v**2 - 2*v - 3. Let u be l(-3). Let a = -3477 + 3481. Solve -2*c - 2*c - u*q = 14, -5*q = -a*c - 30 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 27171447 and 117742937.\nAnswer: 353228811","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-18))\/(1\/2). Let o be -1*(-2)\/(-2) + 7. Suppose o - 1 = 5*p. Is p smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*f**2 + 0*f**2 + 2921*f**3 + 13*f**2.\nAnswer: 2921*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 190*c + 220 = 192*c. Let v = c - 106. Factor -1\/4*o**v + 0 - 1\/4*o**5 + 1\/4*o**2 + 0*o + 1\/4*o**3.\nAnswer: -o**2*(o - 1)*(o + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1534 - 385. What are the prime factors of v?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5 - -4)*(-5)\/1. Sort -3, 1\/2, a.\nAnswer: -3, 1\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 8 = -4*k. Suppose -3*q + 27 = 5*x + 2, -79 = -5*q + x. Let y(n) = -q*n + 0*n**2 - 23*n + n**2 - 3 + 46*n - 15*n. Give y(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04179 rounded to 2 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 14) to base 9.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.7975 + 3.8. Round i to 3 decimal places.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*o + 53 = -3 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 90*j**2 - 6753*j + 222. Let a be q(75). Suppose d = -4*d + 3*f + 90, -2*d - 3*f = -36. Sort 5, a, d, -5.\nAnswer: -5, a, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.3 and 248057.\nAnswer: 74417.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) + sqrt(44)*6 - (0 + sqrt(33)\/sqrt(3)))*4 - (sqrt(66)\/(sqrt(3)*2) - sqrt(22))\/(sqrt(54)\/sqrt(3)).\nAnswer: 289*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = -2*v + 2*c + 3, 0 = -3*v - 3*c - 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (110 - 109)\/(1\/(-7))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -12*w - 11. Let l(a) = 11*a + 9. Give -6*j(b) - 7*l(b).\nAnswer: -5*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 914264100?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:12 PM and 1:23 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -82*m - 1. Let g be a(-2). Let t = -113 + g. Suppose -3*q - t = -5*q. What are the prime factors of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 93895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 299 by -209.\nAnswer: -299\/209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27 - -30. Suppose k*r = 114 + 42. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21 = -5*j - 4*y, -4*j - 7 + 28 = -y. Let x be (j - (-279)\/(-39)) + 2. What is the third smallest value in x, -27, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 + 147. Let h = 294 - q. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -99 - 3?\nAnswer: -9c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*t**5 + 2*t**5 + 5*t**5 + (0 - 1 + 3)*(-3*t**5 + 3*t**5 + t**5).\nAnswer: 4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c + 4268363*c**2 - 4268327*c**2.\nAnswer: 36*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -32*g**3 + 5*g**2 + 28*g + 82. Let n(u) = 16*u**3 - 2*u**2 - 13*u - 41. Let p(b) = -4*j(b) - 9*n(b). List the prime factors of p(-4).\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-1 - -3) + (-1 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 - 16*i**2 + 48*i - 84. Let w be b(13). Solve -10*m = w + 7 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60984150889 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**2\/9 - 1023325888*d\/9 + 130899484131373568\/9 = 0. Calculate d.\nAnswer: 255831472","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2242 (base 5) in base 7?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 o, 1 f, and 1 n when four letters picked without replacement from {o: 6, t: 4, g: 1, n: 1, f: 3}.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 3 = -n. Suppose -w - 4*q = -n, -6 = -0*w - 2*w + q. What is the least common multiple of 5 and w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5145488 - 7415488. Round p to the nearest 100000.\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 > -25\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + 8 - (4 + 10) - -11.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p - 26 = 5*j, j - 1 = 2*p - 4 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -35974.00000075 + 35974. What is o rounded to 4 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -4, -6\/11, -2, -0.4, 18, 7\/37, -3\/5?\nAnswer: 7\/37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 246 and 410?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 19*b + 11872 = 0. Let w = -337 - b. Is w a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -85 - -105.8. Let s = -28 + k. Round s to 0 decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86484109 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -362, -447, -586, -797, -1098, -1507?\n\"Answer: -3*l**3 - 9*l**2 - 37*l - 313","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (99\/(-132))\/((123\/(-6))\/(4\/3))?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g + 4*x = 12*g - 11294, -2*g = x - 4515. Suppose 0 = 12*t - 7670 + g. Is 7 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 215464111.\nAnswer: 215464111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -15 from 0.09.\nAnswer: 15.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = -y + 4*y. Let h be (-6876715)\/396330 - 4\/y. Let x = h + 3\/1201. What is the common denominator of 49 and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 - 108. Let n(w) be the third derivative of 0*w**4 + 0 + z*w - 2*w**2 + 1\/3*w**3 + 0*w**5 + 1\/70*w**7 + 0*w**6. What is the derivative of n(r) wrt r?\nAnswer: 12*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 3, -1.8, 1.2?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 456384 is divided by 65196?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**5\/2 + 19*q**4\/2 - 15*q**3\/2 - 55*q**2\/2 + 8*q + 18 = 0.\nAnswer: -1, 1, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 100633559?\nAnswer: 13, 7741043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**5\/4 + 11*r**4\/4 + 21*r**3\/2 + 16*r**2 + 8*r = 0. What is r?\nAnswer: -4, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1488073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and (-1 - (-1239)\/(-35))\/(1\/(-220))?\nAnswer: 8008","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -33*v**3 - 21*v**2 - 21*v + 21. Let g(t) = 8*t**3 + 5*t**2 + 5*t - 5. Determine -21*g(j) - 5*o(j).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(((4\/(-10))\/((-96)\/(-120)))\/(165\/(-18)))?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2\/3 - 811794436*k\/3 + 164752551580139524\/3.\nAnswer: (k - 405897218)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 278 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000015820264303 to seven decimal places.\nAnswer: 0.0000158","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 5*v + 4. Let m = 142 + -46. Let g = -101 + m. Which is the third smallest value? (a) v (b) g (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 819, 9482 in descending order.\nAnswer: 9482, 819, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1baa0c (base 16) to base 14.\nAnswer: 352a04","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -146 - 516. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*n**2 + 936*n + 940.\nAnswer: -4*(n - 235)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c + 3. Determine n(8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1057\/380 - -145\/19. Let w = -21\/4 + o. Which is the second smallest value? (a) -9 (b) w (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001514 to five decimal places.\nAnswer: 0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2201?\nAnswer: 31, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 16 and 1549552?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 218928 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1552764 (base 9) in base 3?\nAnswer: 1121202212011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -232, -467, -704, -943, -1184?\n\"Answer: -w**2 - 232*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 4*q - 132 = -0*q, c - 25 = 5*q. Calculate the lowest common multiple of 231 and c.\nAnswer: 1155","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1760 and 100100?\nAnswer: 800800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 108418781?\nAnswer: 108418777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-31)\/(279\/(-12)))\/(22\/(-3))?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 20 divided by -87\nAnswer: -20\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z - 5. Let k be 3\/(-3) - 1 - -3. Let d(l) = -2*l + 1. Let f(b) = -3*b + 1. Let v(h) = -4*d(h) + 3*f(h). Give k*i(s) - 4*v(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3461*c + 1663*c + 7006*c)*(3*c - 2*c - c - 2*c - c**2 + 1) to i*c + q + v*c**3 + g*c**2 and give g.\nAnswer: -24260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.63 - 0.07. Let y = -1.3 + n. What is the third biggest value in 0.4, 1\/2, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*u + 710, f - 4*u = 167 + 214. What is the highest common divisor of f and 146?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 54 + -36. Suppose -2*b + 38 = 2*v, 5*b - v + 5*v - 95 = 0. Differentiate -10 - b*h - h + i - 9 wrt h.\nAnswer: -20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 + 4. Let x(b) = -5*b**2 + 3*b - 1. Let k(t) = -4*t**2 + 3*t. Let u(h) = 4*k(h) - 3*x(h). Give u(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/3)\/(5*10\/(-75))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (-2)\/(-4 - 51\/(-12))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -14*r**2 + 363*r + 28. What is the lowest common multiple of l(26) and 1\/2 - (-15)\/2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*m**5 - 8443*m**2 + 328*m - 23 wrt m.\nAnswer: -60*m**3 - 16886","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 1.15, -1, -5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 13788 and 1132?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -30 in -343103, -3, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a. Let q(c) = -c**2 - 2. Let b(t) = -6*t**2 - 15. Let u(d) = -2*b(d) + 15*q(d). Give p(u(j)).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 164.8 - 165. Let q = 13 + -17. Sort g, q, 0, -7 in increasing order.\nAnswer: -7, q, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 q, and 1 t when three letters picked without replacement from {e: 1, q: 8, t: 9, j: 1, c: 1}.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l + 15. Suppose 4*c = 3*u - 10, 5*u - 5 = 5*c + 5. Let o(q) = 8*q + 6. Let b be o(u). What is the units digit of f(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160 and 7136.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -26*g + 23. Let i be 800\/30 - (-1)\/3 - 5. Let t(f) = 129*f - 118. Let y(q) = i*p(q) + 4*t(q). What is the derivative of y(z) wrt z?\nAnswer: -56","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80182828 a multiple of 3430?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -58*z**3 - 674*z**3 - 11*z**3.\nAnswer: -743*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41 - -48. Let z(x) = -x**3 + 8*x**2 - 9*x + 1. Determine z(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2*(-2)\/(-13))\/(-2).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(1872)*2 + sqrt(1872) - sqrt(1872))**2.\nAnswer: 67391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*c + 145 - 5 + 20 = 0 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*j - 170 + 190 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-1400)\/3500)\/(9\/(-45))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1574 in -1\/11, 1, -82, -3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*1*2*sqrt(132))\/(sqrt(12)*2*6 + 3*sqrt(12)*-1)*6*-2 + -3)*-3.\nAnswer: -24*sqrt(11) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -10*j - 48. What is the units digit of (j\/6)\/(2\/(-87))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 74 and 59397358?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-28)\/((-4 - -5)*-2). Let k(r) = 16 + b - 30 + 3*r. What is k(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 717 - -5?\nAnswer: 71c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 2)*((0 + 2 - 6)*(2*t + 0*t - t) - 3*t - 2*t + 3*t).\nAnswer: -36*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, 1272, -1, 3, 1, 2.\nAnswer: -58, -1, 1, 2, 3, 1272","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 42 - 50. Is -18 < t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/5 - 44\/45. Let t be (-1 + 0)*(-4 - 324). Let z = -5574\/17 + t. What is the second biggest value in z, f, 1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*z - 3*o + 9, 3*o = -z + 5*o - 7 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16 and 12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = r - 376, r + 5*i - 344 = 31. What is the least common multiple of 912 and r?\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14479368 divided by 3619842\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-37)\/(259\/123)*(-42)\/36?\nAnswer: 41\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3913, -21, 41 in decreasing order.\nAnswer: 41, -21, -3913","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 136*f - 40*f - 82*f + 223*f + 189*f. Let q(a) = 2*a**2. Give l(q(j)).\nAnswer: 852*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(1008) + -1)*-1 + sqrt(1008) + -1 + -3))**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the first derivative of -2*w**7\/105 + w**6\/15 - w**5\/10 + w**4\/12 + 2*w**3\/3 - 9. Let m(x) be the third derivative of i(x). Factor m(v).\nAnswer: -2*(2*v - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 430 minutes before 11:54 PM?\nAnswer: 4:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 0*q - q**2 + 3 - q - 24 - 16. Let n be l(0). Let g = 58 + n. Calculate the greatest common divisor of 7 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3034196 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 76608115 to the nearest integer?\nAnswer: 8753","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-76)\/(-28) + (-4)\/(-14). Suppose 0 = -n*q - q. Solve q = -2*o + 9 - 3 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 389db (base 14) to base 8\nAnswer: 417625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(68\/12 + -5) - 1999. What are the prime factors of (-5)\/(55\/b)*(-2)\/(-4)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -178, -172, -172, -178, -190, -208?\n\"Answer: -3*h**2 + 15*h - 190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 149*x - 3. Let m(s) = -745*s + 17. Calculate -11*i(a) - 2*m(a).\nAnswer: -149*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3850.324 millilitres in litres?\nAnswer: 3.850324","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**6\/20 + 2*i**3\/3 - 2. Let p(u) be the third derivative of d(u). Let n(j) = 38234*j - 38234*j + 4*j**2. Give n(p(l)).\nAnswer: 1296*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 4246?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 348000 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: Convert 0.16084l to millilitres.\nAnswer: 160.84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -3*v**2 - v + 6*v**3 + v**2 - 2 - v**3. Let x be z(2). Suppose -3*b + 2*p + x - 1 = 0, p = 0. What is the smallest common multiple of 9 and b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 3*t - 12. Give l(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2, 0, 19, -5 in increasing order.\nAnswer: -5, -2, -1, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2349 - 21?\nAnswer: -2370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5\/2 - 1589*d**4 + 56877*d**3\/2 + 4768*d**2 - 88498*d + 56880 = 0.\nAnswer: -2, 1, 18, 3160","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34 = -5*a + 3*w - 14, 2*w = 0. Solve 0*g - 8 = 2*g + 2*m, a = -4*m for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 13.2, -8, -1\/5 in descending order.\nAnswer: 13.2, 0.1, -1\/5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -106.706 rounded to the nearest integer?\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-11)\/((-616)\/(-118)) + (-342)\/(-152). Determine x, given that -81\/7*x - 6*x**2 - l*x**3 - 40\/7 = 0.\nAnswer: -40, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -188*j + 181*j + 7*v + 109 + 3, -2*v - 26 = 4*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zsfwpff. What is prob of sequence ffzp?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 120975 = -6446*g - 123973 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1002021202 + 10?\nAnswer: -1002021122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 * 0.8222.\nAnswer: -2.4666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.729 times -0.2?\nAnswer: -0.1458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-14) - (-11194073849)\/(-784). Let u = -14286850 - n. Let l = u + 8698. Find the common denominator of l and -103\/20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9638178 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(21) - (sqrt(21) + 1*sqrt(756)))*-4)\/(sqrt(336)\/sqrt(175)).\nAnswer: 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k. Suppose -5*u + 19 = -146. Let a = 35 - u. Let p(z) = 60 - 60 + 3*z**a. Give w(p(d)).\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 2*j**2. Let o(f) = -69*f. Give w(o(n)).\nAnswer: 9522*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 126, 145, 150, 135, 94?\n\"Answer: -r**3 - r**2 + 29*r + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1c1 (base 15) to base 7\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3101 and 8617?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**2 + 3*z**2 - z**2)*(-3*z + 2*z - 2*z)*(-2 + 0 + 3).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2471 + -2358. Is f >= 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of -n**5\/20 - n**4\/2 - 5*n**2. What is the second derivative of s(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.07 - -0.03. Let t be (-28)\/(-238) + (525\/(-408))\/(-5). What is the closest to 2\/5 in 2, k, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -56, -80, -20, 166, 520?\n\"Answer: 7*q**3 - 73*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34400 rounded to the nearest one thousand?\nAnswer: 34000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve i - 5*g = -144, 5*i + 301 = 14*g - 100 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.8 + 3.8. Let m = y + -2.6. Suppose -5*x + 16 = 2*s, -4*x + 3*x + 4 = 0. Which is the smallest value? (a) -5 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 97489.88 litres?\nAnswer: 97489880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5 times -0.33412\nAnswer: -1.6706","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-704)\/(-22176)*21\/(-36)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108019 + 31013 = 104*m - 105056. Suppose 3*w = -3*x + 15018, -x + 3*w + 3101 = -1897. Let f = x - m. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/202251 less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 2*k - 2*c, -2*c - 16 = 2*c. Solve -4*g + k - 6 = -3*n, -g + n = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -584?\nAnswer: -518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4337*q**2*s**3*u**2 - 223*q**2*u**2 - 12*q**2 + 2*q*s**4*u**2 + 4*s**2*u**2 wrt s.\nAnswer: 26022*q**2*u**2 + 48*q*s*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(5\/2 + -1).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 14) to base 11.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8331267*0.4\nAnswer: -3332506.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eee when three letters picked without replacement from eeeee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -4*4\/(-6)*3. Suppose 4*z - 17 = -9. Let j(o) = 12 - 1 + 7*o**z - o**3 + 6*o + 0 + 0*o**3. Give j(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*d + d. Let a be d*((-14)\/4 + 3). Let j(z) = z - 3. What is j(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -578b (base 13) to base 15.\nAnswer: -398d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 3 = 5*b + 32, b + 11 = 2*i. Let c(l) be the second derivative of -2\/15*l**3 - 1\/5*l**2 + 0 + 2*l - 1\/30*l**i. Factor c(q).\nAnswer: -2*(q + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sszszs. Give prob of picking 3 s and 1 z.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + -23 + -31 + 48 + -32.\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.08 minus 5?\nAnswer: 41.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9921 - -8799. Is j at least as big as -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(4\/56*7)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3462528 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 divided by -19856.\nAnswer: 9\/9928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-13)*((m*((m*m**(2\/59))\/m)\/m)\/m)\/m*(m**10)**(-31) assuming m is positive.\nAnswer: m**(-19173\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -57 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -763315 (base 8) to base 2\nAnswer: -111110011011001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a meter in millimeters?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 23 = 3. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.821453 decades in millennia?\nAnswer: 0.04821453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 140659?\nAnswer: 140659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 3*j. Let s be l(-1). Let d be s\/((-3)\/(-390001)) - -1. Round d to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 687*a. Let r(k) = 3. Let v(q) = 6*q - 12. Let n(o) = 4*r(o) + v(o). Give d(n(g)).\nAnswer: 4122*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((h\/(h**2*h))\/h*h)\/h)\/(h*h*h**(-3\/4)))\/(h**0)**43)**47)**(-23) assuming h is positive.\nAnswer: h**(18377\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 185498889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -4 + (-4 - -4) + -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1*2*(-23)\/184\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than -8530.806?\nAnswer: -8533.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and 14.5.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7962748?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 - 3.2. Let p = 1674 + -1670. Let u = 3.7 - 4. Which is the closest to 2? (a) p (b) v (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -4*i**2 + 126*i + 11. Let f(c) = 2*c**2 - 63*c - 6. What is 11*f(z) + 6*o(z)?\nAnswer: -2*z**2 + 63*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -13 - 1 - (-615 + 625)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -6\/181? (a) -0.5 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = 60*c - 51*c. Let j be 2 - 3\/((-9)\/(-6)). Suppose 5*p - u - 453 = -j*u, 0 = p - c*u - 99. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -322. Let p be 14\/(-35) + f\/(-10). Let c = 42 + p. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 182*c - 2495476 = 1402964. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1 + 1020\/4 + -4. Let n be c\/56*(8\/(-3))\/2. Is ((-15)\/n - 2)*986 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13214a (base 15) to base 7\nAnswer: 10543150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kqkd when four letters picked without replacement from {k: 8, q: 6, d: 3}?\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 5*h - 205 = 0, 3*c - 3*h = 21 + 78. Calculate the remainder when 145 is divided by c.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1200 - 2?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 - 13*h**2 + 30*h - 10. Let n be x(12). Suppose -t + 440 = 3*t. Let g = n - t. Round g to the nearest 10.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5 = -4*p, 4 = -p - 2*p + 4*d. Suppose -5*h + 3*o + 6 = p, 4*h - 4*o - 9 = -3*o. Calculate the highest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (3 + -8 + -10) - (17 + -6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes before 9:30 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27415978 is divided by 753?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -j**3 - j**2 + 13*j - 6. Let t(l) = l**3 - 12*l + 6. Let p(x) = -6*t(x) - 5*z(x). Let n be p(6). Solve n = 6*r - 3*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.7. Let s be 2 - 8\/9*-97. Let z = s + -88. Which is the closest to 0.1? (a) 5 (b) z (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00028453 to 4 dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43 + 76. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h + 24*h + 16*h + 109 = -2*i, 0 = 4*h - i - 2 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 - -46. Let h be (16\/(-220))\/(6\/(-15)*w). Sort -4, 0, h, 1.\nAnswer: -4, 0, h, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*-4*sqrt(189)\/sqrt(7) - ((sqrt(147) - (sqrt(147) + sqrt(147) + 1*sqrt(147) + 4)) + 3 + sqrt(147) + -2)**2.\nAnswer: -156 + 30*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2470, 2472, 2474?\nAnswer: 2476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -j**2 - 5 - 2*j**2 - 4 - 2*j + 0*j**2. Let t(p) = -7*p**2 - 5*p - 19. Let w(q) = -9*n(q) + 4*t(q). Suppose -3*x = 25 - 10. What is w(x)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*6\/20*(64\/6 + 0). Solve -z - 3*z = 2*b + 6, 0 = -4*z - 4*b - w for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2799 and 14617?\nAnswer: 131553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 3:00 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2 - -24460?\nAnswer: 24462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2 + 1 - 1 - 2 + 3 - 3 + 2 - 2 + 2 + 1 - 3 - 1 + 2 + (-4 + 6 + 0)*(1 + 1 - 1) - 2 + 1 + 0)*(4*s**3 - 52*s**3 - 32*s**3).\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 57 (base 15) to base 2\nAnswer: 1010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z. Let f be -20 + (-2 + -2)\/2. Let i(t) = -6*t. Calculate f*r(g) + 4*i(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.74 or 43417\/3?\nAnswer: 43417\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = 2*z - 44. Suppose 0 = 3*r - 1 - z. Sort -1, r, -4 in ascending order.\nAnswer: -4, -1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18 and 3365895?\nAnswer: 20195370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*p - 20 = 87*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1313833 is divided by 693?\nAnswer: 598","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -1797 and -1796 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 + -20. Let v = -3 + y. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 85657 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -4*f**2 + 925. Give i(-23).\nAnswer: -1191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4 + (-12175)\/10 + (-9)\/6. Is -10*7\/(-35) - (t - 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + 10\/2 + 987\/94.\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26801926 divided by -1?\nAnswer: 26801926","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -125, 71, -153 in decreasing order.\nAnswer: 71, 10, -125, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**2 - 2*q. Let t be o(2). Suppose -4 = -c + a, -4*c + 2*a - 4*a = -4. Let v be 0*(c + t + -1). Solve -4*b + v*b + 4 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4 - 6 = 0. Suppose -3 = y*v - 7. Suppose v*a - i = 16, a - i - 2*i = 8. What is the remainder when 29 is divided by a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*l + 21*l = 20. Solve 20 = l*d - 0*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 657530 and 10.\nAnswer: 657530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13356.\nAnswer: 2, 3, 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1676278028?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/4)\/((-14308)\/219).\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 800608 and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 1\/3, 0.4, -0.3, 136?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**3 + 4*a**2 - 2*a. Let v(x) = x**3 + x**2. Let w(m) = m - 6. Let j be w(9). Determine j*v(r) - l(r).\nAnswer: -2*r**3 - r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - f + 3*f - f)*(-5*f + 4*f - 7*f)*(-5 + 1 + 3).\nAnswer: 8*f**2 - 8*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -48 + 47.984. Let l = g + 2.016. Let x = -2 + l. Is x greater than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/6 in -2\/121, 0, 3\/2, -5?\nAnswer: -2\/121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h**2 + 3*h - 11. Let s(q) = -q**2 - 1. What is -6*s(f) + v(f)?\nAnswer: -2*f**2 + 3*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 (base 14) in base 13?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6596714 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 3*g + 1. Let v(f) = 1680*f - 6. Give 6*i(l) + v(l).\nAnswer: 1698*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00320038 rounded to 5 decimal places?\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 94 = 2*q, -3*q + i - 27 = -158. What are the prime factors of q?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*y + 12, -y - 12 = -4*i + 3. Suppose -7 = -i*h + 1. Solve h*x + 0 = 8 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y**2 + 4*y + 1. Let m be j(-2). Let o(a) = 22 - 7*a + m - 1. What are the prime factors of o(-8)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 133002890?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 5, -1 in descending order.\nAnswer: 5, 2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1211?\nAnswer: 7, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, j: 1, v: 6, p: 1, r: 3}. Give prob of sequence rk.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 q when three letters picked without replacement from {v: 13, q: 3, m: 3}?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*(l**3\/l)\/l)\/(l\/l**3))\/(((l\/(l\/((l**(-3)\/l)\/l)))\/l)\/(l**(-2\/17)\/l)))\/(l**(-3)*l*l**(2\/5))**(-37\/4) assuming l is positive.\nAnswer: l**(-503\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -1580.5372733 to the nearest 10.\nAnswer: -1580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes before 2:33 PM?\nAnswer: 3:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/5 > -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -10*h + 37. Let w be r(-6). Let p = w + -94. Solve 0 = 2*x + p*z - 7, 0*x - 4*x - 3*z - 1 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -348 by -6.\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 408\/510*(-95)\/(-2052)?\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -8*x + 80. Let y be t(10). Let s(n) = n**3 - 13*n**2 - 14*n + 5. Let d be s(14). Let c(u) = -u + 5. Let l be c(6). Put d, l, y in ascending order.\nAnswer: l, y, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -195 - -195.5. Suppose 5*z = 250 - 90. Let w be (-38)\/(-72) + (-24)\/z. What is the closest to 3\/4 in w, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 156*y - 318*y - 243 = -135*y for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of (4 + (-183)\/18)*-6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 464382\/7 - 66512. Let k = 172 + i. Let v = -429 + 428.8. What is the nearest to k in -2\/15, v, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*15\/(-25)*1\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2058385498?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -266*q**2 + 3*q + 105*q**2 - 79*q**2 + q**2 - 518 - 1414 wrt q?\nAnswer: -478","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 194 (b) -4 (c) 1\/5 (d) -1\/3 (e) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 4*q. Let r(i) = -119688315 + i**2 + 119688315 + 3*i. Give r(w(s)).\nAnswer: 16*s**2 + 12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1*(sqrt(7) - 1*sqrt(112)) - (sqrt(56)\/(-2*sqrt(8) + sqrt(8)) + -4)).\nAnswer: 20 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -1045\/5101 (b) -1 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 232, 203, 124, 1, -160, -353, -572, -811?\n\"Answer: g**3 - 31*g**2 + 57*g + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -395737482*t**2*y - 146804*t**2 - t + 6 with respect to y.\nAnswer: -395737482*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 12:02 AM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 17*r**2 - 17*r + 139. Is d(18) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 115 (base 6) to base 11.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Let j be (-2)\/(-3)*6\/4. What is the remainder when t is divided by -3*-2*j\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43142*p**2 - 14238*p**2 - 14728*p**2 - 2 - 14726*p**2 + 4*p to z*p + h*p**2 + f and give h.\nAnswer: -550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wo when two letters picked without replacement from {w: 1, o: 2, s: 1, r: 5}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 8. Let k be 0 + (-1 - d\/3). What is the units digit of k + 0 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5)*-3*-6)**2 + (sqrt(35)*-1)\/sqrt(7).\nAnswer: -sqrt(5) + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + -12 - 24 - 2 - 1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilogram in grams?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57 is divided by (-60)\/(-9)*(-6)\/(-2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + 29*c + 61. Let t be z(31). Which is smaller: 4\/2985 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/((8\/168)\/(2\/(-12))). Let l(n) = -n**3 + 5*n**2 + n + 6. Let s be l(5). Suppose 0 = -v*j + s*j - 212. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 10218, 10214, 10198, 10164, 10106, 10018, 9894, 9728?\n\"Answer: -j**3 + 3*j + 10216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 8) to base 16\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-3\/4)\/(j*j*j\/(j*j*j**(1\/3)*j))*j**6\/(j*j\/(j\/(j*j**(3\/5)))) assuming j is positive.\nAnswer: j**(179\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1966 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*o**2 + 5*o**4 + 19*o - 15*o**3 + 53*o + 80 - 32*o**2 - 12*o = 0. What is o?\nAnswer: -2, -1, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -192807881*j. Let s(n) = 5*n**2. Calculate s(b(i)).\nAnswer: 185874394878550805*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -62, -278, -642, -1154, -1814?\nAnswer: -2622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 6*c**2 - 3*c + 7. Let g(u) = 3*u**2 - u + 3. Determine 5*g(h) - 2*m(h).\nAnswer: 3*h**2 + h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 108\/(-162) - 64\/(-102). Which is greater: z or -0.38?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26095 - 58138.403.\nAnswer: -32043.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 39107.2 and 53.\nAnswer: 2072681.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 3*j - 1)*(1 - 1 + 6*j) + 22*j**2 - 47*j**2 - 85*j**2 + j + j**2 + 0*j**2 - 5*j to g*j**2 + q*j + b and give g.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 5*z + 13 = 0, 1 = -w - 0*w - 5*z. Let c(i) = w*i + i - 4*i. Let s(h) = -2*h**2. Calculate s(c(g)).\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*((-30)\/(-450))\/(((-40)\/5)\/40)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -211, 54, 951 in ascending order.\nAnswer: -211, 54, 951","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -187, 2, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 898193183 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 11:36 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add together 4 and 340898.\nAnswer: 340902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 134 + -138. Let t be z\/(-18) + (-3 - (-280)\/36). Sort t, 12, 1 in descending order.\nAnswer: 12, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 49*x + 909. Calculate c(-18).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 377?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 80.5 * 0.41877.\nAnswer: 33.710985","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -154*x**4 + 5*x**3 + 7*x - 61. Let t(j) = 78*j**4 - 2*j**3 - 3*j + 31. Let n(b) = 2*c(b) + 5*t(b). What is the second derivative of n(g) wrt g?\nAnswer: 984*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*u = -256, -3*u = -8*u - 20. What is the hundreds digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -30*s - 101. Let w be m(-27). Suppose 0 = -3*x - x - 5*j + w, 718 = 4*x + 2*j. List the prime factors of x.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006203 to six decimal places.\nAnswer: 0.000062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3005 - -3002. Let f = 8\/5 + -4\/5. Sort d, f, 10.\nAnswer: d, f, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-1232810)\/43)\/((-1)\/(-2)). What is x rounded to the nearest one thousand?\nAnswer: -57000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 129 - 124. Suppose 161 = o + m, 4*o + q*m - 422 = 222. What are the prime factors of o?\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/4*(-2 + -1). Let f(s) = -s**2 - 6*s - 1. Let p be f(-5). Suppose -6*d + p = -5*d. Which is the smallest value? (a) 1\/4 (b) q (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -1. Let q = -71 + 72. Let f(x) = -x + 5. Let i(d) = q*f(d) + 4*l(d). Give i(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1698.93735126 and 1.\nAnswer: -1697.93735126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -h - 4*v - 8, -5*h - 2*v = -6 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2959 is divided by 463.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) be the first derivative of 5*k**2\/2 + 3*k - 3. Let p(c) = c. Let m(u) = 10*u - 834. Let s be m(83). Give s*p(r) + t(r).\nAnswer: r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -p**4\/5 + 703*p**3\/5 - 72738*p**2\/5 + 282548*p\/5 - 279752\/5 = 0.\nAnswer: 2, 121, 578","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 2*m + 3*o - 18, -54 = -5*m - 3*o. Solve m*t = 15*t + 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1 + -1. Let q be 6\/4 - (3\/(-8) + 714\/560). Which is the third smallest value? (a) 0.2 (b) y (c) 10 (d) q\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**2 - 3*a + 5*a**2 + 2*a + 2*a. Let i be x(-1). Solve -i + 9 = 2*k, -3*r + k = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, -6, -11?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2537636844?\nAnswer: 2, 3, 61, 71, 157, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2640.564 rounded to the nearest ten?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 42*w - 36*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 0*a + 5*a + 5 - a - a. What is the tens digit of z(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -12 - -12.3. Let j = -5 + 8. Put j, -2\/11, y in increasing order.\nAnswer: -2\/11, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41589 < 41573?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 174 - 173.5. Which is the closest to -2? (a) 0 (b) g (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-2\/7)*u)**(-29)*(u*u*u**6*u)\/(u\/u**7))\/((u**(-1)\/u)**(-17)\/(u\/(u*u*u\/(u*u**(-1))*u*u)*u*u**(-7))) assuming u is positive.\nAnswer: u**(-667\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j**3 - 78246*j**2 + 19219749*j + 19297998 = 0. What is j?\nAnswer: -1, 249, 25834","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179 - 6 - 207 - 4*l**2.\nAnswer: -4*l**2 - 392","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 54 a factor of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 PM and 12:03 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 - 10 - 0\/(-1). Let t = 35 + r. List the prime factors of t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 1, 0.5, -16, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187534428?\nAnswer: 2, 3, 15627869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 97 + -94. Suppose u*d = z - 0*z + 748, 3*z + 750 = 3*d. What is the remainder when d is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**3 - 11 + 11 + 2*l + 2*l**2 - 116*l**3.\nAnswer: -113*l**3 + 2*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5649261?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1174?\nAnswer: 3522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a + 50 = 7*a. Let w(u) be the third derivative of 1\/42*u**4 + a*u**2 + 0 + 0*u - 1\/70*u**5 + 0*u**3. Factor w(b).\nAnswer: -2*b*(3*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 21*x**2 - 68*x + 2461. Let y(s) = -5*s**2 + 16*s - 615. Let i(h) = -2*v(h) - 9*y(h). Differentiate i(u) wrt u.\nAnswer: 6*u - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010101 - 100110011?\nAnswer: -11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3)*((-27)\/((-1215)\/(-684)) - -14). Which is the closest to -3\/19? (a) t (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 39043319, 156173304, 351389939, 624693218, 976083135?\n\"Answer: -m**3 + 39043331*m**2 - m - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s. Let b = -31 + 41. Let y(t) = t**2 - 11*t + 13. Let h be y(b). Let o(v) = 40 + h*v - 40. Determine o(g(q)).\nAnswer: 9*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3147 is divided by 869?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 941, 1927, 3311?\nAnswer: 5093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -367.699 + 375.7. Let s = 4 + 4. Let o = p - s. Round o to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3909014802 to the nearest integer?\nAnswer: 250","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 7 = -3*f - 0, 0 = -5*f - 10. Solve p = h - 0 + n, -p - 2*h = 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 AM and 3:24 PM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -190 in 4, -5, -1, 1\/3, -129\/5?\nAnswer: -129\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7871 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-69 - (-9950)\/150)*24?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = 5*g + 55, 0 = -20*g + 19*g - 5*j - 41. Let o = 56\/177 + 1\/59. Is g greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 21*g**2 - g - 1. Let l be i(2). Let o = 134 - l. List the prime factors of o.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1190\/(-357))\/(6\/9 - 1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 - -200.2. Let d = -12 - -27. What is the third smallest value in 3, d, s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -26*n. Let i(s) be the second derivative of 19*s + 1\/3*s**3 + 0 + 0*s**2. Give i(t(o)).\nAnswer: -52*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**2 - 13*n + 23. Let h be m(11). Suppose h = 10*j - 89. Calculate the remainder when j is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-26)\/12)\/((-244)\/(-2928)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4 + 2181*g**3 - 396306*g**2.\nAnswer: -3*g**2*(g - 369)*(g - 358)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/22, 1, -9.5, 2\/9.\nAnswer: -9.5, 1\/22, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.85399939223 minus 5?\nAnswer: -5.85399939223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4398 - 4396. Which is the nearest to -6? (a) 3.54 (b) t (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -439 - -732. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321?\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in seven quarters of a kilogram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27683126 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 6 - 26. Suppose -v*m - 30 = 5*q, -q - q = 3*m + 15. Let w = -2\/389 + 413\/4668. What is the nearest to -1 in w, m, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}