diff --git "a/data/dm_maths/full_data_1/1959_11255.jsonl" "b/data/dm_maths/full_data_1/1959_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1959_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let s be (-1178)\/(-8) - ((-14)\/12 - 1139\/(-804)). Do 132 and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:09 PM?\nAnswer: 11:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 + 26. Suppose 0 = 5*v - 3*y - 149, -v + 2*y - u = -47. Is 7 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6072.111164 to the nearest 100.\nAnswer: 6100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -3 (b) 27 (c) 3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-2 - 41) + (-28 - 5 - (-25 + -6)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -349986828 or -349986830?\nAnswer: -349986830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 5 (c) 0.1 (d) -3 (e) 10659 (f) -1\/2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -25, 4, -1, 3 in decreasing order.\nAnswer: 5, 4, 3, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -201?\nAnswer: 1\/67","meta":{"dup_signals":{},"source":"arithmetic__div_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 15\/27 + 1 + ((-1788112)\/(-11187))\/(-92)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fllljlolljoolola. What is prob of picking 1 l and 1 a?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c - 339 = -4*t - 338, 0 = -3*c - 2*t - 5 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 5 + w + w + w + 2*w**2 + 3*w. List the prime factors of h(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n - 12*n + 4242 = 0. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 364845157 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 58997*d + 1179847. What is l(-20)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2020 - 110?\nAnswer: 1210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 0.3, -0.106, 139, 3?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2 + 7 = 0. Let i be 1044\/o*(-2)\/4. Differentiate -i*c - 16*c**3 + 5 + 58*c - 2 wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 322 = 3*a. Let c(l) = 133 + 154 + 22 - 6*l - 6*l. What is the remainder when a is divided by c(23)?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 - 188*h - 183*h - 155*h + 526*h - 245*h**2 to v*h + k*h**2 + r and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18448)\/5765*(105\/12)\/1?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that -4\/3*k + 0 - 2\/3*k**2 + 2\/3*k**3 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-16)\/1392*(-1189)\/82)\/((-2)\/(-996))\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -235899, -235910, -235935, -235980, -236051, -236154, -236295?\nAnswer: -236480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17c031b - -30?\nAnswer: 17c034b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 46393642 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -5*l - 13. Calculate f(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-150)\/3780*(-306)\/255\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**4\/3 - 20*i**3\/3 + 32*i**2 + 256*i\/3 - 2048\/3 = 0. What is i?\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*y = -119 + 19. Factor -3\/5*q**3 - 1\/5*q**y + 0 + 1\/5*q**5 + 2\/5*q + 1\/5*q**4.\nAnswer: q*(q - 1)**2*(q + 1)*(q + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 - j. Let o(n) = -2*n**3 + 18*n**2 + 58*n + 54. Let r(y) = -o(y) - 4*x(y). Factor r(p).\nAnswer: -2*(p + 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dmv when three letters picked without replacement from {h: 1, v: 1, d: 1, m: 2, q: 4}?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g, 1 y, and 1 k when four letters picked without replacement from {p: 3, g: 6, y: 1, k: 2}?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4911 + 4*s**2 + 64*s + 1642 + 1526 + 1515 = 0.\nAnswer: -19, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -96*w + 59. Is f(-15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0423709 + 79842.\nAnswer: 79841.9576291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 197*a**2 - 5 + 3 - 191*a**2 + 2.\nAnswer: 6*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - (-51)\/9)*3\/7\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0 + 2*m - 7*m**2 + 0 + 2 + 6*m**2 - 99*m**3. Is 11 a factor of p(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00008333285 to 6 dps.\nAnswer: -0.000083","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 616 and 10549.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 0.057\nAnswer: -0.171","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.12, 0.11, 0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3*m + 5. Let n(f) = -4*f - 6. Suppose 0 = -h + 8 - 3. Let z(u) = h*n(u) + 6*k(u). Let v(b) = -4*b. Calculate v(z(w)).\nAnswer: 8*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7232.754 nanograms in kilograms?\nAnswer: 0.000000007232754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.399, 39\/5, -1\/13?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -358522, -716927, -1075332, -1433737?\n\"Answer: -358405*x - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.019 + -0.019001. Round d to 5 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of -2*w**7\/21 - 2*w**6\/15 + w**5\/5 + w**4\/3 + 5*w. Determine a so that r(a) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 526012?\nAnswer: 2, 107, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the first derivative of r**2\/2 + 11*r - 25. Calculate h(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 3, o: 3, f: 1, b: 3, m: 1, c: 3}. Give prob of sequence mb.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73966601.\nAnswer: 19, 3892979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3100410 = 93*r - 6748197. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3395 and 100.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2539?\nAnswer: 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -81*j + 76*j - 5*d + 20, 0 = -2*j - 7*d + 23 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**3 + 10*x**2 - 7*x + 44. Give d(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/45540 and -79\/27050760?\nAnswer: 27050760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -29, -40, -63, -104, -169?\n\"Answer: -w**3 - 4*w - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = -5*o + 8*p - 15, -9 = 3*o + 2*p for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f - 3*t = -4*t - 5, 3*t - 15 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/39684 and -25\/111194568.\nAnswer: 111194568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3.056 times 997\nAnswer: 3046.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26846 - -64959. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**3\/4 - 5*m**2\/4 - 9*m + 45 = 0.\nAnswer: -6, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(143) - (1*sqrt(143) - sqrt(143))))\/(2*sqrt(1331) - sqrt(1331)).\nAnswer: -6*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.878046ml to litres.\nAnswer: 0.007878046","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from {x: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11.19051 litres to millilitres.\nAnswer: 11190.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -5 (b) -278 (c) -0.4 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 162357*j**2 - 81307*j**2 - 81071*j**2.\nAnswer: -21*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 0 (c) -0.35839 (d) -54 (e) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 0.2, -0.01, -0.3 in increasing order.\nAnswer: -0.3, -0.01, 0.2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11970 and 4104.\nAnswer: 143640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 0*o = 174. What are the prime factors of o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9344 divided by -4?\nAnswer: 2336","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -l*n*q*v + 6*l*n*q - 3*l*n*v - 2*l*q*v - 3*l + n - 2*v with respect to q.\nAnswer: -l*n*v + 6*l*n - 2*l*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + -14041206.\nAnswer: -14041206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 132 and 297?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 + 3. Let y = 0.6 - 0.8. Which is the second biggest value? (a) p (b) -0.5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*a**2 + 4*a**2 + 6*a**2 + 559 - 559.\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2160829573.\nAnswer: 7, 229, 367, 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 2*x + 9, -2*x - 2 + 3 = -26*o + 17*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -215103, -213403, -211715, -210045, -208399, -206783, -205203?\n\"Answer: -l**3 + 1707*l - 216809","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 661, 1379, 2337, 3655, 5453?\n\"Answer: 20*y**3 + 578*y + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8362936 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -w**3 + w**2 + 2*w. Let p be j(2). Find the second derivative of d**3 + 4*d - d**3 + p*d**3 - 4*d**3 wrt d.\nAnswer: -24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -110 + 245. Suppose 17*t - 78317 = -78062. What is the greatest common divisor of v and t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 276958828?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -34812.261 * -0.1.\nAnswer: 3481.2261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -48816446?\nAnswer: 3\/48816446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 12:02 PM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, w: 6}. Give prob of sequence rwr.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 251692, 251698, 251704?\nAnswer: 251710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/(-2))\/(7\/(-28)). Suppose b = -1, t*v + 3 = b + 12. Solve -x = v*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tayk when four letters picked without replacement from {d: 1, a: 1, q: 1, k: 1, t: 2, y: 2}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(68) + 5 - (-5 + ((sqrt(17)*-1)**2 - sqrt(17))).\nAnswer: -7 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 33*s + 16376 - 268496. What are the prime factors of s?\nAnswer: 2, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -625662 + -1012982\nAnswer: -1638644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 208667 is divided by 1023?\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1122836*a**4 + 2530112*a**3 - 585777*a**2 + 34087*a - 586 = 0.\nAnswer: 1\/26, 293\/1661, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 257*d**2 + 164*d - 23560. Calculate a(-256).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35702 = 1052*p - 5194 for p.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -296 = -8*d - 29*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -6*(1 + sqrt(125)))**2 - ((sqrt(125)*-2 - sqrt(125))**2 + -5 - ((sqrt(125) + -3 + sqrt(125))**2*-6 + sqrt(125))).\nAnswer: 362 + 725*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -123, -869, 438 in decreasing order.\nAnswer: 438, -123, -869","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34.0000056 + 34. Round f to six decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 - 13*x - 35. What is b(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19*v - v**4 + v**2 + 2 + 20*v**3 + 48*v - 26*v to q + u*v**4 + b*v + o*v**2 + j*v**3 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 5*n - 16. Let y = n + 0. Suppose -y*j - j + 70 = 0. Does 14 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -2*sqrt(76) + 5)*3)**2.\nAnswer: -576*sqrt(19) + 3312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((144\/(-40))\/(-9))\/(((-22090)\/(-50))\/(-47))?\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, s: 1, c: 6, r: 5}. What is prob of picking 2 c?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of -m**5\/60 - m**4\/6 + 7*m**3\/6 - 3*m**2. Let u be s(-6). Suppose 2*g + 4 - 6 = 0. Put 5, g, u in descending order.\nAnswer: 5, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = q**3 - 6*q**2 + 6. Let o be j(6). Let f(s) = -s**3 - 2*s + 2. Let a(b) = 9*b**3 + 17*b - 17. Calculate o*a(w) + 51*f(w).\nAnswer: 3*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, t: 2}. Give prob of sequence otto.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*w**3 - 2*w**3 + 6*w**2 + w - 2*w**3 - 4*w**2 as l*w**2 + s + o*w**3 + j*w and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2*o**2 - o + 14. Let b(m) = -15. Let i(u) = 3*b(u) + 2*z(u). List the prime factors of i(7).\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 37695 + -376641\/10. Let k = h - 63\/2. Let p = 6.1 + -1.1. What is the closest to 2\/5 in 3\/4, k, p?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(320) + -2)*3*-5)**2*-4.\nAnswer: -291600 + 28800*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4a - -1811?\nAnswer: 1783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 13 - (1 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b so that -b**5\/4 - 9*b**4\/4 - b**3\/4 + 69*b**2\/4 + 55*b\/2 + 12 = 0.\nAnswer: -8, -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -3*g**3 + 21*g**2 + g - 4. Let j(c) = 48*c**3 - 336*c**2 - 15*c + 63. Calculate 4*j(w) + 63*z(w).\nAnswer: 3*w**3 - 21*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230904331?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -8 + 5 + 5 + -7\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((2*sqrt(2400) + sqrt(24))\/(sqrt(108)*-1) + ((sqrt(2) + sqrt(72))*4 - -1*sqrt(2)*-3))**2.\nAnswer: 644","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**2 + 9*r. Let u be h(9). Suppose -3*c + c + 34 = u. Suppose 2*z = c + 3. What is the remainder when z is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-6))\/((210\/(-14))\/(-15)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 + 59*h - 1536. Determine n(24).\nAnswer: 456","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*l - 35 = -2*l. Let m = -233\/2 + 110. Let n = l - m. Is n > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 69295456?\nAnswer: 5\/69295456","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -211a (base 12) in base 6?\nAnswer: -24434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -392549\/85 + 4619. Find the common denominator of v and 9\/4.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (4*(sqrt(91) + (sqrt(91) - sqrt(91)*3) - sqrt(91)) - sqrt(91))\/sqrt(7)*-4 + 3.\nAnswer: 6 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/2482 and 57\/803.\nAnswer: 27302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -5, 3, 70, 105, 7 in descending order.\nAnswer: 105, 70, 7, 3, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/((c\/(c**(2\/5)\/c)*c*c)\/c*c)*c)\/c**(-1\/16))**22\/(c*c*c**(2\/5)*c*c*c*c**5*(((c**(-1)*c)\/c)\/c)\/c**(-3)) assuming c is positive.\nAnswer: c**(-1809\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6 less than 75651?\nAnswer: 75652.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -45, -202, -473, -858, -1357, -1970, -2697?\n\"Answer: -57*s**2 + 14*s - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -235 divided by 429?\nAnswer: -235\/429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b9285 + -34a?\nAnswer: 1b8b37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -a - 5*t - 140, 0 = -5*t - 10. Let u = -37 - a. Let v = u - -19. Solve 3*c - v = 7 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-106*w**2 + 11*w**3 + 106*w**2)*(2*w**2 + 0*w**2 - w**2) + (0*w**2 + 4*w**2 - 5*w**2)*(3*w**3 - 5*w**3 + 0*w**3) + 4*w**5 + 3*w - 3*w.\nAnswer: 17*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*91.\nAnswer: -273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 8) in base 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 322790393?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5562 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: Factor o**3\/8 + 9*o**2\/8 - 273*o\/8 + 1127\/8.\nAnswer: (o - 7)**2*(o + 23)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjssjsj. What is prob of sequence sj?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*p**3 + 76*p**3 + 115*p**3 + 22*p**3 + 0*p**3.\nAnswer: 340*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of -5*u**4\/4 - u**2 + 9*u. Let b(l) = l**2. Calculate s(b(k)).\nAnswer: -30*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2264 is divided by 252?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1655 bigger than 0.0058?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104)*2*6 - sqrt(104) - (2*sqrt(104) + sqrt(104))*-4)*3)\/((-5*sqrt(648)*-1 - sqrt(648))*-4).\nAnswer: -23*sqrt(13)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 1 - (-8 - -6)) + 16\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wuszztssvssswvvsv. Give prob of sequence wz.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 231 * -0.1\nAnswer: -23.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in -11\/10, -0.3, -0.2, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 190725?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + 7*m + 5. Let n be r(6). Suppose -55*v - 46*v = 224*v - 26975. Is v < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - -22 - (1 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 81400 and 990.\nAnswer: 732600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) 1001 (c) -85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 83.5 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 530492768 divided by -26.\nAnswer: -20403568","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -180 - -184. Suppose 4*p + p - 2100 = -5*x, d*p + x = 1689. What are the prime factors of p?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -671 + 1346 - 675 + 110875*g.\nAnswer: 110875*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.551 and 0.2.\nAnswer: -0.1102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306*p + 3*p**2 - 154*p - 11*p**2 - 152*p.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 0 + -4 + 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 2 y when four letters picked without replacement from gygyggggyygggyyyggyy.\nAnswer: 132\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 2:33 AM?\nAnswer: 4:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 3 + 5)*(6*x - 2*x - 2*x)*(-3*x + 3*x - 5*x**2)*(0 - x + 0).\nAnswer: 30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a**1\/a)\/a)\/a*a)**(13\/3)\/(a**(1\/4))**3 assuming a is positive.\nAnswer: a**(-61\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 101110111111101001100 (base 2) to base 9\nAnswer: 2806327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/f**0)\/f)**48*(f\/(f**0*f))**(-25)*((f**(2\/9)*f)**(4\/17))**(-38) assuming f is positive.\nAnswer: f**(-1672\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.12 and 42938500.54947.\nAnswer: 42938500.66947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**8*g*g)\/(g**(-1\/4)*g))\/(g*g**(-2\/5)*g**9) assuming g is positive.\nAnswer: g**(-7\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - -4. Let q be (3 - 0) + -5*(-9 + 5). Suppose -4*x + 0*x = 4*y + 12, -4*x + q = -3*y. Solve z*o + 0*j + 14 = j, -x = j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 784422 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j**5\/7 + 564*j**4\/7 + 17938*j**3\/7 + 147552*j**2\/7 + 52119*j + 29484 = 0.\nAnswer: -63, -39, -7, -3, -4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 23712?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -34187.9934 rounded to 0 dps?\nAnswer: -34188","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -453606 or -453607?\nAnswer: -453606","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand c + 2 - 2 + (-3*c + 0*c + 2*c)*(-3 - 4 + 5) + 4*c - 6*c + 3*c + 5*c - 2*c - c - 26*c + 21 - 11 - 12 + 4 + 2*c - 4 + (1 - 2 + 3)*(-4*c + 2*c + 5*c).\nAnswer: -12*c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(252)\/sqrt(4)*3)\/sqrt(9) + ((sqrt(847)*-1 + 3)*3)**2.\nAnswer: -606*sqrt(7) + 7704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 2*q + 233. Determine g(13).\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 104521489 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + (12 - -12 - (-8 + 24))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 181*q**2 + 2*q - 2. Let o(m) = -180*m**2 - 3*m + 3. What is 2*o(r) + 3*y(r)?\nAnswer: 183*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*c - 2*c - 7*c + c**3.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -428 - 1011. List the prime factors of (-13)\/429*-6 + k\/(-11).\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the third derivative of 11*n**5\/20 + 111*n**2. Let y(u) = -5*u. Calculate c(y(l)).\nAnswer: 825*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 3 (b) 462 (c) 5 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 515868 is divided by 32.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -178 = 3*f + 44. Let m = 109 + f. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**4\/9 + 574*v**3\/9 + 30080*v**2\/9 - 563200*v\/3.\nAnswer: 2*v*(v - 33)*(v + 160)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0 + 4\/(-2 - -4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000012278 to seven dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = -11 - 29. Let x = 17 - 7. Let g be 4\/x + (-36)\/l. Solve z = g*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116*p = 3*p - 183*p + 5032 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-4332)\/(-60648))\/(1\/1022)\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 2*j - 5*j + 8. Let m = 102\/5 - 4167\/205. Which is bigger: m or j?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(468))*6 + 0.\nAnswer: -11 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1304223?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of l**5\/20 + 5*l**4\/6 - 13*l**3\/6 - 3*l**2 - 18*l + 1. Let w be m(-9). Suppose -w + 969 = 3*i. Is i a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1231 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2 + 15\/25)*-5. Let j be 2\/p*21\/3. Suppose l = d + 130999, j*l = 4*d + 5*l + 524003. Round d to the nearest 10000.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 153?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 548?\nAnswer: 548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 31767496 a multiple of 264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the second derivative of y + 0 + 0*y**3 - y**2 + 0*y**4 - 1\/165*y**5 - 1\/660*y**6. Let f(x) be the first derivative of i(x). Factor f(g).\nAnswer: -2*g**2*(g + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11101 + -10110000001111111011001?\nAnswer: -10110000001111110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 c when four letters picked without replacement from {x: 2, a: 6, w: 1, c: 4, y: 4, m: 3}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -273*f**4 - 388*f**2 - f wrt f.\nAnswer: -6552*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert d691b1 (base 14) to base 15.\nAnswer: 982505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157 + -140.7. What is b rounded to zero decimal places?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -70*((-8)\/30 - 832\/(-960)).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -563 >= -567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 3*c = -51, 4*r - 49 = 3*c + 5. Solve 20 - 5*i**3 - r*i**3 + 0*i**3 + 85*i**2 - 80*i - 5*i**3 = 0 for i.\nAnswer: 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 2*l**2 - 8. Let d(f) be the second derivative of 5*f**4\/6 - 20*f**2 - 52*f. Let s(n) = -16*c(n) + 3*d(n). Factor s(u).\nAnswer: -2*(u - 2)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i - 4*i + 0*i + 4*i.\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 7 + -3. Suppose -3*j = 5*r - 110, u*j - 3*r = r + 168. Let o be 0 - (-1)\/(1\/10). What is the greatest common factor of o and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*b**3\/4 - 23*b**2 + 59*b - 48 = 0. What is b?\nAnswer: 2, 48\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 21736093 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t + 4. Determine k(-10).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1226 and 605807058?\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p**3\/5 + 5784*p**2 - 28929*p\/5 - 57846\/5 = 0. What is p?\nAnswer: -9641, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 294056 a multiple of 100?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (2336\/4599)\/(408\/153)\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 6*k - 66. What is n(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(4\/7))\/(y\/y**(-3\/8)))\/((((y**(7\/3)*y)\/y)\/y)\/(y**(2\/7)\/y)) assuming y is positive.\nAnswer: y**(-503\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 143705551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = h**3 - 7*h**2 + 7*h - 2. Let r be z(6). Suppose 77 = -r*x + 481. List the prime factors of x.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -2*y**3\/11 - 310*y**2 + 20516*y\/11 - 27376\/11 = 0.\nAnswer: -1711, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -94*c + 16 = -78*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39022695?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnn. What is prob of sequence nn?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 33 = -4*l, -135*l + 2*y - 22 = -138*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the first derivative of -7*c**2 + 2*c + 1. Let a be i(-2). Suppose 0 = m - 2*m + a. Calculate the remainder when m is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.2 (b) -73 (c) 0 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 60 = -3*y, 2*s - 4*y = -3*s + 100. Solve -s = -2*g - 3*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve s = -b + 5, -2*b + 4*s = -28 + 42 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/8 (b) 2 (c) 1 (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 45\/112 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 8:16 PM?\nAnswer: 2:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of 0 + 1\/120*x**6 - 2*x**2 + 0*x + 1\/24*x**4 - 1\/15*x**5 - 7\/6*x**3. Is f(5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 3:52 AM?\nAnswer: 11:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 18 = 5*x - 71, -x = -4*c + 461. Find the common denominator of (-325)\/c*(-3)\/15 and -21\/10.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the second derivative of k**3 - 4*k - 1\/12*k**4 + 5*k**2 + 0. Let d be h(7). Calculate the highest common factor of 6 and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 17*a**3 - 11*a**2 + 3*a - 6. Let p(w) = -6*w**3 + 4*w**2 - w + 2. Let z = -624 - -628. Calculate z*r(t) + 11*p(t).\nAnswer: 2*t**3 + t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (6\/4)\/((-6)\/(-8)). Let p(v) = -v + 11 + 2*v**a - 8 + 4*v. Give p(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 160\/5*890\/(-1979360)?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -121011 (base 4) to base 3\nAnswer: -2012110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121 = 28*v + 9 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in -2\/207, -13\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -28*k + 50. Determine l(4).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*-2*sqrt(108)\/(sqrt(18)\/sqrt(2)))\/(sqrt(16)*-4 - sqrt(4) - sqrt(8)\/(sqrt(2) - (sqrt(2) - sqrt(50)))).\nAnswer: 5*sqrt(3)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 10 - -2) + 13. Solve -2*g + z = 2*y, 3*y + 25 = y + 5*g for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1028*j**3 + 13*j**2 - 7 + 5 - 1029*j**3 + 2*j**4 as z*j + u*j**2 + q + m*j**4 + d*j**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s**2 + 73*s - 310. Let p be q(4). Solve 2*u = -0 + p for u.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 5*c + 16, 0*n + c = -3*n + 2. Solve z - n*s + 1 = 0, 3*s = 2*s for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 170 is divided by 36.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 19 - 72*b - 31 + 12 to the form m*b + z and give m.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -14 + 8 + 13 + -11 - 24\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -37*u - 1762. Let p(j) = -44*j - 1763. Give -5*p(b) + 6*w(b).\nAnswer: -2*b - 1757","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 31879.73ns?\nAnswer: 0.00003187973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3 (b) 0.17 (c) -5\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 3 + (32 - (25 - -2))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 28 + -40. Let w = 73 + z. What is the tens digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 2. Let o(m) = -m**2 - 13*m + 16. What is the units digit of o(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -122*r - 36*r**3 + 122*r + (-4 - 2*r**3 + 4)*(1 - 2 + 0) + r**3 + 2*r**3 - 6*r**3 to the form x*r**2 + i*r**3 + p*r + d and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the second derivative of 2*a**3\/3 - a**2 - 9*a. Let j be v(2). Let z(c) = 2*c - 14. Let l be z(j). Let k(o) = 5*o + 3. Calculate k(l).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lll. Give prob of sequence ll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1308 in -0.11, 19, 0, -13, -1\/4?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 20*i - 172. Let h be m(9). Solve p - 3*s + 29 = -h*s, 5*p + s = -25 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*d - 38 = -26 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(1\/13)\/(h*h*h**(-1)*h))\/(h**(2\/3)\/(h*h\/(h*h*h\/(h\/(h*h*h**(9\/5)*h))*h*h*h))) assuming h is positive.\nAnswer: h**(-2026\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101270\/7 less than or equal to 14466?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 25*c**2 - 2*c - 3. Let g(r) = r**2 + 25*r - 2. Let a be g(-25). Does 17 divide h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -7*z - 139. Let x be k(-24). Suppose 4*j - 7 - x = 2*n, -2*n = 5*j - 54. Calculate the remainder when 55 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -35*o**3 - 8. Let k be a(-4). Let n = k + -1561. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1146 + -1096. Let a = -191 + 345. Suppose i - 3*w - c = a, -2*w = i - 229. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lldimdilldddi. Give prob of picking 2 i and 1 l.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1012102002 + 10211?\nAnswer: 1012112220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59 divided by -184872.\nAnswer: -59\/184872","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9 and -1.43.\nAnswer: 12.87","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -230 >= -232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a day in hours?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/10*(-16 + 2)*(-45)\/135?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1144 = -1685*b + 1542*b for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -0.5, 3\/44, 3, 175 in increasing order.\nAnswer: -0.5, 3\/44, 3, 5, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 397 + -77. Find the third derivative of 20*p**6 - q*p**2 + 20*p**6 + 337*p**2 wrt p.\nAnswer: 4800*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k - 25*k + 74*k**2 + 19*k + 16*k.\nAnswer: 74*k**2 + 5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 496337035 to the power of 1\/3, to the nearest integer?\nAnswer: 792","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 3*x + 3 = 0. Suppose x*t = 11*t. Is 2\/5 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.2169825 litres?\nAnswer: 216.9825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12\/9 + -2)*-3*5\/10.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 111*o = -452, 0 = 4*j + o - 4379 + 4383 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20)\/9 + 0 + (-286 - -288)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 150.179431 rounded to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 2, 0.35?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 49876 and 1606816.\nAnswer: 1348","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w - 1. Let t be o(1). Suppose t = 4*q - q - 27. Let r(z) = 9*z + q + 5 - 14. Let b(n) = n. Calculate r(b(c)).\nAnswer: 9*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 + 3*x**2 - 4*x + 2. Let i be a(-4). Solve -6 = 3*u + 3*q, i*u + 4*q = -0*u - 14 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -15*h - 3. What is r(-2)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 3 + 5)*(6 - 4 - 1) + 0 - 1 + 2)*(3*u + 3*u**2 + 617 - 2*u - 648).\nAnswer: 6*u**2 + 2*u - 62","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -55223?\nAnswer: 55222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -96700, -96699, -96696, -96691, -96684, -96675?\n\"Answer: p**2 - 2*p - 96699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -5*c**4 + 4*c**3 + 4*c**2 + 9*c. Let b(m) = 11*m**4 - 7*m**3 - 7*m**2 - 17*m. Let l(g) = 4*b(g) + 7*h(g). Find the second derivative of l(r) wrt r.\nAnswer: 108*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -24359021*m + 20679054.\nAnswer: -24359021","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 30. Let b(f) = f + 30. Let s(w) = -4*b(w) + 3*k(w). What are the prime factors of s(-15)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -18299*r - 54901. Give m(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 4, n: 6, u: 4}. What is prob of picking 1 n, 1 z, and 2 u?\nAnswer: 144\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2 - 211*t**2 + 268*t**2 - 35 wrt t.\nAnswer: 114*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*a**3*x**2 + a**3*x - 1284390*a**3 + 3*a**2*x - 3*a + 66258*x**2 wrt a.\nAnswer: -222*x**2 + 6*x - 7706340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) -2 (b) 0.7601 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 59997 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 532 a factor of 1015588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 22*v. Let q(n) = 35*n**2 - 2*n - 12. Let u(s) = 209*s**2 - 13*s - 78. Let r(g) = -13*q(g) + 2*u(g). What is r(c(x))?\nAnswer: -17908*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_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: What is the next term in 3047, 12237, 27553, 48995, 76563?\nAnswer: 110257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 104650 divided by 7475\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -308147 and -308152 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*x**3 + 0*x**3 - 59*x**3 - 18*x**3)*(3*x - 4*x + 2*x).\nAnswer: -108*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100037336 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d + 1. Suppose 16*s + 22 = 5*s. What is v(s)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 9*s**2 - 16*s - 28. Let a be i(11). Suppose a*o = 44*o - 36. Let r = -6 + 48. Calculate the highest common divisor of o and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 7*o - 2*w + 739 = 0, 2*w = 3*o - 731. Let a(i) = 4*i - 88. Let s be a(0). Let l = s + o. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 4*m**4 + 1732*m**3 + 237548*m**2 + 10772252*m + 30225264 = 0.\nAnswer: -212, -109, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4.09 - 0.09. Suppose -3*d - 2*i - 13 = 0, 3*d - 4*i + 24 = -d. What is the third smallest value in w, d, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 11 + 3*m - 30 + 0. What is the smallest common multiple of z(13) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 47 + -24. What is the remainder when p is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the third derivative of b**8\/2520 - 4*b**7\/1575 - b**6\/225 + 17*b**5\/225 - b**4\/4 + 2*b**3\/5 + 2*b**2 + 64*b. Determine j, given that x(j) = 0.\nAnswer: -3, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*f**2 + 31 + 27 + 34 - 92.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 215 a factor of 65207995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2668 and 31648?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 4:18 AM?\nAnswer: 2:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(78\/(-27)) + 3584\/364 + -10.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2304 and 360.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -115 + 214. What is the highest common divisor of b and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 25242 + -17705. Suppose s = 6*x + 2605. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/8, 31.9, 1\/4, 2, 1 in increasing order.\nAnswer: -1\/8, 1\/4, 1, 2, 31.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.9739 to the nearest integer.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2057\/2440 - 21\/488. Suppose 8\/5*y**3 + o - 6\/5*y + 0*y**4 - 2\/5*y**5 - 4\/5*y**2 = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 710\/30 - (-2)\/6. Let m(a) = -a**2 - 5*a + 3. Let n be m(-5). Suppose u = f + n*f. What is the remainder when 10 is divided by f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(3\/25)\/(m\/(m\/m**10)) assuming m is positive.\nAnswer: m**(-247\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*(-2)\/(-4)*(-5)\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 228*z**2. Let t(k) = k - 3. Let x(n) = 3*n - 3. Let q(r) = -t(r) + x(r). Determine q(u(j)).\nAnswer: 456*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8.2 + -1.2. Let m = 8701 + -8700.2. Which is the third biggest value? (a) h (b) m (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 576 a factor of 294813880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 20 = 3*h - 2*h, 3*y - 5*h = -10. Let r(v) = 4 - 3*v - 7*v**2 - v**3 - 5 - y. What is the remainder when r(-7) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 327 + c?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 308214.447 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 12 and 19430.\nAnswer: 19442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22102076 or 22102075?\nAnswer: 22102075","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (42*q - 3*q + 21*q)*(0 + 5 - 9 + (0 + 5 - 2)*(3 - 4 - 1) + 7 - 2 - 2 + 3 + 2 - 4) to y + g*q and give g.\nAnswer: -360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1309\/9 - 14381\/99. What is the third smallest value in -27\/22, 4, 1\/5, v, -0.5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 + -2 - 2) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1785, -1784, -1783?\n\"Answer: a - 1786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1252040 divided by 4?\nAnswer: -313010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.24 + 1.04. What is the nearest to s in 4, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 16 - (241 - 231).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**3 + 8*u**2 + 10*u - 4. Calculate l(4).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 497510 and 1430?\nAnswer: 5472610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3446862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9460?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 5479 in descending order.\nAnswer: 5479, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -594 + 594. Sort a, -11, 11.\nAnswer: -11, a, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 432?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2700 - 9*b + 2700)*((-2 + 0 + 4)*(0 + b + 0) + (-2 + 2 - 1)*(-2*b + 0 + 0)*(-8 + 3 + 23))*(0*b + 3*b - 5*b) to w*b + q + s*b**3 + i*b**2 and give s.\nAnswer: 684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18873 - 228*a + 18873)*(23 - 85 - 45)*(0*a + a - 2*a)*(3*a**2 - 5*a**2 + 3*a**2).\nAnswer: -24396*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 474685235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p**3 + 5*p - 6. Let a be n(1). Is a\/3 - (4064\/(-3) - 6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -180 + 255. What is the highest common factor of b and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 114 + -55. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4803.589nm to millimeters.\nAnswer: 0.004803589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 4*j**3 - j**2 - 3*j. Let l(i) = i**3 - i. Let y(t) = k(t) - 3*l(t). Suppose 0 = -0*u - 5*u. Let q be y(u). Solve -4*c - 16 = -q*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, u: 1, j: 8, k: 6, n: 4}. What is prob of sequence hn?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12265 is divided by 1750.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*i - i + i)*(2230 - 6060 - 5754 + 326 - 529)*(1 + 0 - 2) as p + j*i and give j.\nAnswer: -19574","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 3*b - 1. Let i be p(-1). Let w = 258 + -264. Let m be (-11)\/(11\/w) - 2. Sort i, m, 5, -2 in decreasing order.\nAnswer: 5, m, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -43357, -173263, -389773, -692887, -1082605, -1558927, -2121853?\nAnswer: -2771383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*t**2 - 4355722*t - 35147266.\nAnswer: -14*t - 4355722","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 7. Let y(m) = -m**3 + 3*m**2 - m + 3. Let q be y(3). Let i be s(q). Let f(c) = c**2 + 6*c - 1. What is the units digit of f(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 9 - 11 = 0, -z = -h - 15. Suppose 0 = -p + z - 3. What is the least common multiple of 8 and p?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 9, -34, -64, -4, 3 in decreasing order.\nAnswer: 9, 5, 3, -4, -34, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.04 (b) -2 (c) -0.1 (d) -0.058 (e) -1 (f) -2\/3 (g) 29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the second derivative of -t**5\/20 + t**3\/6 - 7*t**2\/2 + 8*t. What is g(0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1062325.\nAnswer: 5, 11, 3863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p - 5*p - 2*p**2 + (-8*p - 11*p + 6*p)*(-68 + 5*p + p + 65).\nAnswer: -80*p**2 + 39*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -o**2\/2 - 1150*o + 6909\/2 = 0.\nAnswer: -2303, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 3165093?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7085 + -3530. Suppose -38*i + 41*i - y = x, 5*i - 5925 = -4*y. Round i to the nearest 10.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 3283982?\nAnswer: 22987874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*w - 217 + 199 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/45)\/(10\/(-11880)*-12)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 30527 and 441.\nAnswer: 274743","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -4*d + 8*d. Let n be d\/85 + 860\/85. Calculate the greatest common factor of n and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of -b**5\/90 - b**4\/54 - 4*b. Factor i(j).\nAnswer: -2*j**2*(j + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1975, 1963, 1953, 1945?\n\"Answer: a**2 - 15*a + 1989","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 3*d - 8*d - 18*d**4 - 4*d**2 + 6*d in the form z*d + u*d**4 + b*d**3 + v + n*d**2 and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a - 1. Let s(q) = q. Determine 2*s(u) + w(u).\nAnswer: -3*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3864 and 156.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-m + 0*m + 0*m + 9 + 5*m - 9 + (1 - 3 + 1)*(1 - 1 + 2*m) + 7*m - m - 2*m)*(5*m**2 - 9*m**2 + 3*m**2 + 2*m) to g*m**2 + p*m**3 + i*m + w and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(153) + 2) + (-1 + (sqrt(153) - -2*sqrt(153) - sqrt(153)))**2.\nAnswer: 3*sqrt(17) + 623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, n: 2, k: 2, h: 4, q: 4, w: 1}. What is prob of sequence qhqh?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((sqrt(25) + (sqrt(900) - (sqrt(900) + -4*sqrt(900) + sqrt(900))))\/sqrt(5) + 0)*-4.\nAnswer: -76*sqrt(5) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12102120100210 (base 3) to base 11\nAnswer: -16a0532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + n + 3329. Is w(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/9, 243, -2\/7, -3\/4, -2, 0?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -20, 0, -4, -3, -0.13, -2\/9, 197?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -3 + 5*v + 5 + 8*v**3 - 3 - 5*v**3. What is the units digit of a(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 17 - 17.36. Let v = -28.36 - q. Let j = v - -27.9995. What is j rounded to 3 dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*r - 475, -4*r - s + 995 = 2*s. Let d = 440 - r. Suppose 0 = 4*w - 2*w + 3*h - 115, -3*h - d = -3*w. List the prime factors of w.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v**3\/9 - 4*v**2\/9 - 26*v\/3 - 16 = 0. Calculate v.\nAnswer: -3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by 32?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3101 or 3110?\nAnswer: 3101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 34725052?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 - -2. Let x be k\/44*2*-2. Let w(r) = 8*r - 6. Let l be w(x). Calculate the highest common divisor of l and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 10 + 272\/(-28) + (-69)\/21. Which is the second smallest value? (a) d (b) -2 (c) -6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 172721286.\nAnswer: 17272128.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 257461.011 milliseconds in days?\nAnswer: 0.0029798728125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 254188 and 13568?\nAnswer: 16268032","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:39 PM and 4:11 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 4*a - 10. Let m(r) = 3*r**2 - 3*r - 4. Let p be m(4). Suppose -3*k - k - p = 0. What is the units digit of c(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((48\/15)\/(-2))\/(120\/750*(-3)\/(-6))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -58, -0.24, 5\/3, 2\/13, 2, 1.7.\nAnswer: -58, -0.24, 2\/13, 5\/3, 1.7, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k**3\/5 - 3789982*k**2\/5 + 3590987100096*k\/5 + 7181989360128\/5 = 0. What is k?\nAnswer: -2, 1894992","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 6. Let i be f(0). Is i <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 27214.36 + -27214. Put 2\/49, b, -5, 1 in descending order.\nAnswer: 1, b, 2\/49, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4151918099 to the nearest integer?\nAnswer: 64435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k + 5*m - 40, -4*k - 2*m = -59 - 83. Suppose 5*r + k = 55. Is r a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:07 PM and 9:32 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -2 + (10 - 8) + -5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 71143.27ug?\nAnswer: 0.07114327","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12307 is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005571383603 rounded to seven decimal places?\nAnswer: -0.0005571","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 266588.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47764106?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -1 + (-3 - 3) + 0?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j**2 + 244652*j + 7337760 = 0. What is j?\nAnswer: -122296, -30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-5\/4)*((p*p*p\/(p\/p**(-5\/2))*p)\/p)\/p)\/(p**(-2\/37)*p\/(p\/((p**(4\/5)*p)\/p))) assuming p is positive.\nAnswer: p**(-2587\/740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6.8 or 6931?\nAnswer: 6931","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 15541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n - 6 + 2, -46 = -2*u + 5*n. Suppose -3*m + m = -378. Suppose -2*p = -99 - m. What is the greatest common factor of p and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13658313121 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**2 - 23*c + 37. Let g be j(21). Let p(z) = z**3 + 4*z**2 + 3. Determine p(g).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-86)\/(-9)*(-33 + (3 - -21)) - (0 + 0)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 195241042 a multiple of 237?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -132 smaller than -135?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4498 + 4505. Suppose 3*d - 2*b + 146 = 5*d, 2*d = 2*b + 162. Calculate the greatest common factor of d and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/81 and -16\/229.\nAnswer: 18549","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 2*i**2 - 3*i**2)*(-21 + 21 + 10*i) to d*i + c*i**2 + m*i**3 + l and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 395 - 109 = 11*n. Calculate the greatest common divisor of n and 2054.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a week in minutes?\nAnswer: 63000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) 0.5 (c) -4 (d) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - (6 + 0))*(-471)\/3. Let f = m + -945. Let b(u) = 5*u**2 + 7*u - 2. Let k(x) = 4*x**2 + 6*x - 1. Calculate f*b(o) + 4*k(o).\nAnswer: o**2 + 3*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/o**(-1\/5)))\/o*o)**38\/(o*o\/(o\/(o\/(o**(2\/3)*o)))*(o**(-16)*o)\/o) assuming o is positive.\nAnswer: o**(691\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 7044?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 3.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3 + 2 = 11*s - 16*s, 0 = -2*o for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2419956 and 1209978?\nAnswer: 2419956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1*((-59 - -53) + 1 + 8). Solve -4*h - 22 = -2*h - 4*t, 0 = -5*h - 3*t - c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6691*x + 13667 wrt x?\nAnswer: 6691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:13 AM and 2:46 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 2:21 AM?\nAnswer: 6:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**5 - 25*m**4 + 55*m**3 + 35*m**2 - 35*m - 10 = 0 for m.\nAnswer: -2, -1, -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 156413143 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**(-1)*p)\/p)\/(p\/p**0*p))\/((p\/p**(2\/9))\/(p**(-1\/4)\/p)) assuming p is positive.\nAnswer: p**(-181\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 468314 and 2426718.\nAnswer: 26693898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i - 3. Let k be b(-3). Let r(n) = 2*n - 9. Let l be r(k). Let j be (-4)\/(0\/(-3) - -1). Sort j, 2, l.\nAnswer: j, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 3*h + 9 = -9, 0 = 5*n - 5*h - 10 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*b + 18*b - 15 = 0. Suppose -4*x - 22 = -b*x. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7389301, -14778617, -22167933, -29557249, -36946565, -44335881?\nAnswer: -51725197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a = 3*q - 49, -2*q + 4*a - 31 = -69 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -683 not equal to -66?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*b - 23*b - 20 = 0. Which is smaller: -18 or b?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -149094 by 4518.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = -5*x, 3*c + 3*x - 15 = x. Let h = -0.36 - -0.26. Let g be (1\/6)\/((-2)\/(-6)). What is the closest to g in 0.2, h, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20875452 + -7004548. Round k to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (0 + 0\/(-2))*(-72)\/144. Sort -5, 1, -14, w in descending order.\nAnswer: 1, w, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (-24 + 12 + 22 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 235 by 69521.\nAnswer: 235\/69521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 36 = -0*g. Let m be 4\/6 + 5\/g. Suppose 3*t = -8 - 1. Which is the closest to 0? (a) t (b) -1 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 82*q - 141*q + 118 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o - 5 = -0. Let n(b) = -31*b - 1. Let f be n(-1). Let d be f*(3*o)\/(-6). Solve l - 4*u + 13 = 0, u = 3*l + 2 + d for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1797 + -7233\/4. Suppose -2*f + 3 = f. Find the common denominator of x and (41\/22)\/((-1)\/f).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -72*l - 1. Let p = 69 - 71. Let n be s(p). What is the highest common factor of n and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 120923 to the power of 1\/2, to the nearest integer?\nAnswer: 348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + 1*sqrt(208) + 2*sqrt(208)*3 - (2 + sqrt(208) + (sqrt(208)*-2 + 3 - sqrt(208))))**2.\nAnswer: -648*sqrt(13) + 16929","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1030 and 382910.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.363 and 21?\nAnswer: -7.623","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/6*-3*2. Let t be ((-20)\/12 + y)*-3. Let x be 2 + t - (-6 - -3). What is the greatest common factor of 2 and x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 3088117 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -2*x - 4. Let l be (66\/55)\/(2\/(-15)). Let i = -4 - l. Calculate the lowest common multiple of i and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 2*y + 2707 = 888, 4*p + 2*y = 1448. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -459*c + 225180 = -432*c. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**2 - 621*q - 8545. What is a(-140)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 - 674*a + 113569.\nAnswer: (a - 337)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 79 + -54. Suppose 2*f - j = -121. Let m = f + 85. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1086 + 936 + 7*v**2 + 150.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 211? (a) 3 (b) 2\/3 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1519, 2731, 3943?\n\"Answer: 1212*v + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s - 49. Suppose -3 + 25 = 2*f. Let x be y(f). Solve -3*b = 2*w - 9, 0 = -2*b + 4*w + x for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5657*t - 2918*t + 2918*t - 3726*t.\nAnswer: -9383*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*s + 104*s - 246*s as y*s + v and give y.\nAnswer: -228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 696 and 47995.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(4 + -2*sqrt(1125))**2.\nAnswer: -13548 + 720*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-43)\/817*-95)\/(10\/(-104))\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -8*v**3 - 10*v**2 - 2*v + 10. Let m(o) be the second derivative of o**5\/20 + o**4\/12 - o**2\/2 + 38*o. What is j(u) + 10*m(u)?\nAnswer: 2*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15151 - 15151.24601. Round b to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 45935161*k**4 + 4861*k**2 + 284*k - 4.\nAnswer: 1102443864*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -35 and -41\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4608 and 648?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3349479239?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 161800 to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (17 - 11)*(-1)\/(-2). What is the closest to -1 in 2\/5, i, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10111100021212 (base 3) in base 6?\nAnswer: -103445035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(sqrt(99)\/sqrt(9)) + ((3 + sqrt(17) + sqrt(17))*4 + sqrt(17) - sqrt(17)))**2.\nAnswer: 216*sqrt(17) + 1521","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*v**2 + 1 + 15*v + 1 - 18*v)*(-24*v - 11 + 11) to the form g*v**2 + x + f*v + b*v**3 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 29, -1, 165, 10 in decreasing order.\nAnswer: 165, 29, 10, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + -39?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 184, -13387, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 69.530417 + 0.09.\nAnswer: 69.620417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 270871497 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: -0.4 - 0.2822289\nAnswer: -0.6822289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11 + -44cb9?\nAnswer: -44ca8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d**3 + 4*d**2 - 6*d - 4. What is c(-4)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 11*k + 21. Let n be i(-5). Let r = n - -50. Let a = r - 12. Solve -a*q + h + 4*h - 23 = 0, 3*q = 5*h - 21 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, l: 1, k: 1}. Give prob of picking 1 l and 1 k.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1447668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-7) + (-5996)\/(-7). Suppose 58 = 3*c - s. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 35*u**5\/2 + 113*u**4\/2 - 7*u**3\/2 - 105*u**2\/2 - 18*u = 0?\nAnswer: -3, -4\/5, -3\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(70) + sqrt(70)*-1)\/sqrt(2))\/sqrt(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 - (67 - -3 - (6 - -15))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53884708?\nAnswer: 2, 241, 55897","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -222 + 227. Suppose y - 153 = 5*u + 200, r*u - 721 = -2*y. What is the hundreds digit of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the third derivative of 13*h**4\/24 - 48*h**2. Let w(l) = -2*l**2. Calculate a(w(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -35406*u**2. Let i(t) = 6504*t. Calculate d(i(j)).\nAnswer: -1497745178496*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (3 + -15 + 4).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 374611 (base 9) in base 7?\nAnswer: 1632211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -107.6 + -14.4. Let h = 122 + k. Which is the third biggest value? (a) 0.4 (b) -1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - d**2 - 4*d**3 - 2*d**3 + 34*d**3 as f*d + a*d**3 + r + s*d**2 and give a.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -5*c - 5*d + 44, -3*c + 26 = d. Find t, given that 7*t**3 - 9*t**3 - c*t - 7*t + 7 + 1 + 10*t**2 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22029 or -22030?\nAnswer: -22030","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 11*y - 25. Let u be m(2). Sort 11, -3\/4, u in decreasing order.\nAnswer: 11, -3\/4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 2*n**2 - 9*n + 93. Let f be w(17). What is the greatest common factor of f and 370?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the third derivative of m**6\/24 + m**5\/3 + 5*m**4\/8 - 2*m**2. Solve u(l) = 0.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 583 minutes after 9:54 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00451978 to 4 dps.\nAnswer: 0.0045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 159001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -368816 divided by 14\nAnswer: -26344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -2*a**3 - 28*a**2 - 77*a + 64. Calculate i(-8).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m**2 - 8*m + 14. Let p(i) = 8*i**2 - 24*i + 42. Let o(d) = 4*p(d) - 11*x(d). Calculate o(-10).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10926)\/9712*(-672)\/54?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d. Let v(p) = 25*p - 49*p + 21*p - 120. Calculate v(m(c)).\nAnswer: 3*c - 120","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u*(u**1*u*u)\/u*u)\/u*u**(-2)*u**(1\/7)*u\/(u**(-1\/3)*u)*(u*(u*u**(-1))\/u)**(-1\/6)*(u**(2\/3)*u)**(30\/11) assuming u is positive.\nAnswer: u**(1622\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 11*b**2 + 5. Let j be m(11). Solve -5*f + 37 = -3*c + 2*c, j*f - 3*c - 41 = 0 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 e when two letters picked without replacement from yywoewykyk?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 12:56 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -10256, -20511, -30766, -41021, -51276, -61531?\n\"Answer: -10255*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x - 4. Let k be w(-6). Find the first derivative of -3 - 3*y**3 - k*y**2 + 8*y**2 wrt y.\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 - 4*k - 1. Let h be f(-3). Suppose -3*i**2 - i**h - 17*i**3 - 2*i + 15*i**3 = 0. What is i?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, 621, 1381, 2435, 3777, 5401?\nAnswer: 7301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-2 + ((sqrt(208) + -1 - sqrt(208)) + 4)**2 + (sqrt(208)*4 + -3)**2 + 3)*-6.\nAnswer: -20081 + 576*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -17 bigger than -0.47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.4746649 days in weeks?\nAnswer: 0.4963807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 1 - 7 + h + 11 - h**2. Let i be t(0). Solve -4*v - i*f = 24, -3*v = -8*v + 2*f + 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153111?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 119650.\nAnswer: 2, 5, 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54133.\nAnswer: 54133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14 + 0 + 1 + -317 + 325.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228)*-1*6*-5)\/(sqrt(60)\/((sqrt(5) - sqrt(25)\/sqrt(5) - sqrt(5))*-4 - sqrt(5))))**2.\nAnswer: 153900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50 and 850?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 47.84 + 0.16. Let g = -15 - j. Let k = -62.9 - g. Which is smaller: -26 or k?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16937772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 433*f - 77286 = -1163*f + 78270 - 24684 for f.\nAnswer: 82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -40, -36, -22, 8, 60, 140, 254?\nAnswer: 408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 23227 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 149*v - 591. Let i be c(4). Solve 5*w + 30 = i*t, 3*w + 6*t = 2*t - 11 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 2*j**3 + 10*j**2 - 7*j - 9. Let f(b) = -b**3 - 5*b**2 + 4*b + 4. Let g(a) = 5*f(a) + 2*s(a). Let p(o) = -2*o + 6. Let x be p(6). Does 2 divide g(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*1*sqrt(1539))**2*-3.\nAnswer: -41553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 8 + 42120\/(-14820)?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -42586?\nAnswer: 9\/42586","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 39?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - -38)*18\/72. Suppose -s = -2*f + 5*d, 5*f - 2*d = f + 4. Solve f*v = 3*v - 15 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 14*r + 71. Suppose 0*u + 361 - 396 = 7*u. Calculate p(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-56)\/(-63) + 1\/9 - 2. Put v, -3, 0.5, -53 in ascending order.\nAnswer: -53, -3, v, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let b = -841.391 - -841. Let x = b + 0.335. Round x to 3 decimal places.\nAnswer: -0.056","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.2 * -64.5.\nAnswer: 77.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 - 5. Put x, -5, 2 in ascending order.\nAnswer: -5, 2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 39277608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 333104410 - 222?\nAnswer: 333104133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*b**2 - 452*b - 195.\nAnswer: (b - 65)*(7*b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of 252*h**5\/5 - 13*h**2\/2 + 11*h - 293. Find the second derivative of c(t) wrt t.\nAnswer: 3024*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64.29864mm to kilometers.\nAnswer: 0.00006429864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-108)\/(-15))\/((-2)\/(-270)). Suppose -4*h = -796 - u. Suppose 3*m - 3*l - h = 50, -4*m = -5*l - 660. Does 40 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + -13022003?\nAnswer: -13021440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48 + -21 - 18 - (0 - -1) - 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -336 or -334?\nAnswer: -334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -388*h**2\/13 - 762778*h\/13 + 58980\/13.\nAnswer: -2*(h + 1966)*(194*h - 15)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 32 + 402?\nAnswer: 434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kjjm when four letters picked without replacement from {j: 3, m: 1, k: 5}?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1, 4, 81?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -11706, -93759, -316496, -750261, -1465398, -2532251, -4021164, -6002481?\n\"Answer: -11724*u**3 + 2*u**2 + 9*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23539650?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -11*v - 5. Give x(-5).\nAnswer: 50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.2 - 0. Let r = z - -0.3. Let j = -0.6 + r. Which is the closest to -1? (a) j (b) -2\/9 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6*o**2 - 2*o - 3*o - o**2 + 4*o**2 wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 1:34 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*7\/(126\/9). What is the common denominator of -79\/126 and (55\/6)\/(35\/(-15)) + m?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*x + 3*x - 4*x - x - x + 3*x + 2 - 2 - 2*x + (2*x - 2*x + x)*(-3 + 0 + 2) + 3*x - 3*x + x - x - 4*x + x.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-4)*s\/s**7*s)\/((s**9\/s)\/s**(-1\/6)) assuming s is positive.\nAnswer: s**(-103\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -3*l - 6. Let k be a(-4). Let b be ((-8)\/k)\/((-4)\/(-786)). What is the remainder when b\/(-8) + 2\/8 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.97 in -0.15, -0.1, 11, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51548, 103606, 155664?\n\"Answer: 52058*m - 510","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 29432928 and 42?\nAnswer: 29432928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 24 - 313?\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 49 and 14?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -487, -486, -485, -484, -483?\n\"Answer: n - 488","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -9*b - 3. Suppose l + g = 7, g = -3*g + 20. Suppose 124 + l = 3*q. What is the remainder when q is divided by p(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6*9\/36)\/((-12)\/(-64)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-2)*(-6)\/(-5). Suppose c = h*c. Is (-3 - -4) + c - -412 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)*1*5)\/(-5*sqrt(9)*-2).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12338 is divided by 6164.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*d**2 + 5*d**2 - d**2 + (d - 1 + 1)*(-265*d + 129*d - 401*d) as u*d**2 + m + r*d and give u.\nAnswer: -536","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 7*s**2 + 8*s + 8. Let d(y) = y + 1. Let q be d(5). Let v(o) = -8*o**2 - 9*o - 9. Determine q*v(g) + 7*u(g).\nAnswer: g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1240.1 + -1302. Let l = y - -62. Which is greater: 3\/44 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**3 + 9*q**2 + 8*q + 25. Let b be h(10). Solve -b*y = -3*i + 8*i + 15, 0 = -2*i + 4*y for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 10 + -7. Let r(k) = t*k**2 + k + 4 - 4*k - 2*k**2. What is the units digit of r(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*l - s - 31 = 18*l, -147 = -5*l - 3*s. Solve 3*d - l = -3*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 9) in base 12?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {s: 10, b: 2}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes before 3:06 AM?\nAnswer: 11:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - v. Let s(g) = 4*g**3 - 4*g**2 - 2*g - 3. Let o(x) = s(x) - 3*u(x). Let y be o(4). Solve i - y - 4 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (606 + 1328 + 704 - 160)*(-2*w + 3 - 3 + (-3*w + 5*w - 4*w)*(0 + 4 - 2) + 0*w + 2*w + 0*w - 2*w + 3 - 3 + 2*w + 1 - 1) as p + o*w and give o.\nAnswer: -9912","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -2 - 7*u + u**2 + 18*u + 4 - 14*u. Give n(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -4 + 17*t + 0 + 0 - t**2. What is the least common multiple of 18 and z(13)?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 323 + -317. Let r(m) = -99*m**3 + 5*m - 69. Let v(i) = 100*i**3 - 6*i + 69. Let b(s) = x*r(s) + 5*v(s). What is the first derivative of b(j) wrt j?\nAnswer: -282*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (-2 + 1 - (9 - 14))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 2*r = r + 33, -q - 3*r = 21. Let p be (18\/8)\/(q\/32). Does 17 divide ((-204)\/(-8))\/((-9)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 10\/15 - 20\/(-15). Let u be (-2)\/f - 3*(8 + -9). Solve 0 = -u*j - 3*j - d + 16, d + 4 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 4 + 7*j - 3 + 4*j. Let i be m(-2). Let l = i + 30. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h + 3*j - 16, -91 = 4*h + 3*j - 99 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00036889 to 6 dps.\nAnswer: 0.000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.84 + -6. Let i = s - -0.1614. What is i rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 121\/363023706 and -89\/206?\nAnswer: 363023706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxgs when four letters picked without replacement from ssxvvsxsjssg.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-182)\/1131*(-18)\/42. Suppose 3*u = -u + 5*r + 37, 3*u = -2*r - 1. Which is greater: i or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*k**5 + 10*k**5 - 14*k**5 + (-2*k**2 + 2*k**2 + 2*k**3)*(3*k**2 - k**2 - k**2) + (-2*k**4 - 3*k**4 + 6*k**4)*(-3*k + 7*k - 2*k).\nAnswer: 12*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31137a8 (base 12) to base 4.\nAnswer: -203032112300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -139 + 76. Suppose -2*i - 495900000 = -u*i. Round i to the nearest one million.\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 183*l - 12508.\nAnswer: (l - 53)*(l + 236)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 26*z**2 + 42*z + 137. Does 15 divide h(28)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*p + 0*p - 171396 = 0. Suppose 0 = 70*q - 79*q + p. What are the prime factors of q?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-9)\/(-8))\/((-42)\/(-28)))\/(891\/2904)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -148757\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 30389\nAnswer: -3\/30389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 34\/5 of a century?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -56658*p**3 - 2376*p - 18089*p**2 - 71118*p**3 + 9951*p**2 - 17998*p**2 - 234256*p**4 - 81 = 0.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m + 85 = -41*m + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 288, 290, 280, 252, 200, 118, 0?\nAnswer: -160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 599 - 430. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*w + 90 = 22*w. Find the common denominator of -43\/16 and 7\/(-35) - 371\/w.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27578939 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 277*r + 31 wrt r.\nAnswer: 277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362008621.\nAnswer: 13, 27846817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((-56)\/(-36)) - 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 78 = 5*f + 73, -3*b + 15 = -5*f. Suppose -c = -3*k - 2*c - 1, 0 = -4*k - 4*c + 12. Put 0, -9, k, b in increasing order.\nAnswer: -9, k, 0, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.32321339 to three dps.\nAnswer: -1.323","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1238664 divided by -100?\nAnswer: -309666\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 20\/8*8\/(-110).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-4)\/10 + (-96)\/10. Does 18 divide 356\/10 - z\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 minutes after 6:49 PM?\nAnswer: 8:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = d - 3, -2*c + 0*d + d - 3 = 0. Suppose -5*g + 55 = -c*g. Calculate the least common multiple of g and 5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6400*v**2\/9 - 12640*v\/3 - 6241.\nAnswer: -(80*v + 237)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**5\/15 - k**3\/6 + 5*k**2. What is the first derivative of v(f) wrt f?\nAnswer: -8*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 162671?\nAnswer: 162671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in 2\/3, 10, 0, 0.06, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 308 + -273. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10 - 5. Suppose -v*u = -z - 14, 2*z = 2*u - 5*u + 24. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n**2 + 2*n - 4. Suppose -41*z + 46*z = 10. Let t(d) = 8*d**2 + 7*d - 14. Let y(l) = z*t(l) - 7*o(l). Let s(q) = -6*q**2 + 9*q. Calculate s(y(b)).\nAnswer: -24*b**4 + 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7\/3 - 1\/3*n**2 + 8\/3*n.\nAnswer: -(n - 7)*(n - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 84637\/8 or 10580?\nAnswer: 10580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8 - 14*c - 8 - 3*c + 2*c - c + (3*c + 0*c - 2*c)*(-1 + 3 + 2)*(-1 + 0 + 0 + (-5 + 3 + 0)*(-2 + 2 + 2)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1731?\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -2*k + 1. Let c be x(-1). What is the second derivative of -i + 3*i - 3*i - c*i - i**2 wrt i?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 35 and 14966?\nAnswer: 74830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w + 10666*w**3 - 10*w + 2*w - 32343*w**3.\nAnswer: -21677*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 22*j**2 - 15*j - 18. What is r(-1)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from biucb. Give prob of picking 1 b, 1 i, and 1 u.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 2*p - 6, 44*p + 15 = -11*f + 39*p for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 3*y - 8. Let z be (3\/6)\/(2\/20). Suppose 2*r + 9 + 2 = z*d, -4*d - 3*r + 18 = 0. Let o be l(d). Solve 5 + o = 3*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y + 1. Let m be o(-2). Let b be m\/((-28)\/10 + 3). Is -5 smaller than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/6)\/n)**19\/(n**(1\/2))**17 assuming n is positive.\nAnswer: n**(-92\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.07 - -3.93. Let h = -1 + r. Let w be 4 + 0\/(-5) + (-28)\/6. What is the second smallest value in h, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 2*x**2 + 2*x - 2. Let t be w(-3). Let m be -4 + 7 - (t - 6). Suppose -2*f + m = -0*f. Is f a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.801 + -0.401. Which is the third biggest value? (a) x (b) -45\/4 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 - 18 = 7*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + -1 + 17 + (10 - 20).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6)\/10*15 + 9 + 0. Let x(i) be the second derivative of 0*i**3 - 10*i**2 - 23*i + 0 + c*i**4 - 5\/4*i**5. What is the first derivative of x(k) wrt k?\nAnswer: -75*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0026032691 rounded to 4 decimal places?\nAnswer: 0.0026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6758 and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1182835)\/(-1100) + 2\/5. Let x = 4311\/4 - y. Calculate the common denominator of -29\/16 and x.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = -3*d + 18, -4*l + d - 28 = 3*d. Let y(g) = 9*g**2 + 6*g + 11. Let i be y(l). Round i to the nearest 10.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + (-12 + -12 - -13) - 8.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 6*m**2 + 6*m + 5. Suppose 0 = -47*y + 8*y + 195. Determine j(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 310 = 3*j. Let i = -68 + 31. Let b = i + j. What is the remainder when b is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30*-16\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of -s**6\/360 - s**5\/30 - 5*s**4\/24 + 17*s**3\/3 + 15. Let x(q) be the third derivative of m(q). Calculate x(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -4\/9, 83, 4\/5 in decreasing order.\nAnswer: 83, 4\/5, 0.4, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -47*h - 2*h**2 + 49*h - 10*h**3 - 9*h**3 + 0*h**3 + 4. Let a be t(-2). What is the greatest common factor of 48 and a?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 72948036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, 4, 809, 2 in descending order.\nAnswer: 809, 4, 2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 312 - 284. Suppose 8*z - c*z + 4100 = 0. Is z a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 1, n: 2, e: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*j**3*y**2 - 5308*j**3*y - j**3 - 7612*j**2*y**2 + 3*j**2*y wrt y?\nAnswer: -14*j**3 - 15224*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 18 - 17. What is the highest common divisor of s and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 - 12 - (-1 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - -0.1. Let g = 4 - 259. Let u = g - -254.7. Which is the closest to y? (a) 3 (b) 1\/2 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 45, -14, 7 in descending order.\nAnswer: 45, 7, 0, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of -c**7\/5040 + c**6\/180 + c**5\/20 + c**2. Let v(k) be the third derivative of d(k). What is v(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 2, 4, 7, 19 in descending order.\nAnswer: 19, 7, 4, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4432655127 to the nearest integer?\nAnswer: 1643","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 2*j - 22, 2*r - 5*j + 7 = -0*j for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93*g**3 - 8*g**2 - 36*g = 0. Calculate g.\nAnswer: -18\/31, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 18\/5*r**3 + 93\/5*r**4 - 279\/5 - 534\/5*r**2 - 3\/5*r**5 - 147*r = 0.\nAnswer: -1, 3, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/75 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74 + -141. Let u = -35 - p. Suppose -5*g - 36 + 121 = 0. What is the remainder when u is divided by g?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 180\/380*-19*(-570)\/9747.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2 + 298*g - 11385 = 0. Calculate g.\nAnswer: 45, 253","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 35913, 142452, 320019, 568614, 888237, 1278888, 1740567?\n\"Answer: 35514*n**2 - 3*n + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80*h - 18*h = 88*h - 438960. Calculate the remainder when h is divided by 779.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 733482, 1466967, 2200452, 2933937?\n\"Answer: 733485*f - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1*(-2)\/4*(-11365195 + -1). Let p = 1517402 + r. Round p to the nearest 1000000.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of 1718*i**3\/3 - 2246*i + 3080. Find the first derivative of y(b) wrt b.\nAnswer: 3436*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1006430539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -10032076790 + -3.905?\nAnswer: -10032076793.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-31)\/(-93) + (-6)\/9*-7. Solve i + 10 = -2*c + 5*c, -5*c + 10 = d*i for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2796459776.\nAnswer: 2, 11, 41, 53, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -23375 (base 8) to base 4.\nAnswer: -2123331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -23\/54, -8, -1, -3?\nAnswer: -23\/54","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -30 (b) -7836 (c) -1\/7 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 times 3.6?\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-104)\/(-48) + 2\/(-12). Suppose -t*x + 3 + 43 = 0. Is 11 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -63 + 60. Let y = 13.5 + -13. What is the smallest value in y, -0.3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 + 8*b - 8. Calculate the remainder when 38 is divided by t(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(95)\/sqrt(5)*1 + sqrt(19) - (sqrt(931)*3 - sqrt(19)).\nAnswer: -18*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - i**2 - 2*i + 284 - 285 + 3*i - 6*i**4 in the form a*i + l*i**3 + k*i**4 + n + u*i**2 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 45 - 35 - c**3 - 5*c in the form g*c + r*c**2 + p*c**3 + b and give b.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15050 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -864350.933 rounded to the nearest 1000?\nAnswer: -864000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 303140.8ng?\nAnswer: 0.0003031408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.034835 rounded to four decimal places?\nAnswer: -0.0348","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 111 = -2*j - 37, 3*i + 181 = 5*j. Calculate the remainder when 168 is divided by j.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/64*(6 - (-300)\/(-54))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0 - 0. Suppose y = -3*q + 7 + 17. Suppose -3*i + 7 = 4*a - q*i, i = -5*a + 16. Is 3 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(2299) + 2*sqrt(2299)*3)*2 - (((sqrt(2299) + 2)*-2 + sqrt(2299) + sqrt(2299))*4 + 0))**2.\nAnswer: 3696*sqrt(19) + 450748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 46, 0.011, 0, 1 in decreasing order.\nAnswer: 46, 1, 0.011, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 2*q = -33, 3*c + 41*q - 60 = 36*q for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -11*l**2 + 2*l - 4. Let d(o) = 33*o**2 - 6*o + 11. Calculate -3*d(n) - 8*h(n).\nAnswer: -11*n**2 + 2*n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 8 = -3*y. Suppose y*a - 7*a = -15. Suppose -a = -i - 0. List the prime factors of i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 25*c**2. Let k(x) = x + 1. Let h(q) = q**2 + 2*q + 2. Let o(y) = -3*h(y) + 6*k(y). Give o(d(m)).\nAnswer: -1875*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let b = r + -3. Let j be ((-20)\/15)\/(10\/(-3)). What is the closest to -1\/3 in b, j, -3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -550 - -546. Let u be (-2 - (0 - 4))*-11. Let i be (u\/v + -4)*(1 + 1). Solve 5*n - 5*z + 15 = i*n, 0 = 5*n - 3*z + 28 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 13) to base 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1623438567?\nAnswer: 3, 61, 359, 8237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -3*b**5 - 177*b**4 + 5241*b**3 - 33303*b**2 + 72522*b - 44280 = 0.\nAnswer: -82, 1, 3, 4, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 222249779 and 854.\nAnswer: 3111496906","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**12)**(11\/2))**40 assuming o is positive.\nAnswer: o**2640","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 4*d = 5, 4*l + 2*d = -0*d - 10. What is the closest to 0.2 in l, 12, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 5*d + 4345 = 2*g, 4341 = 5*g + 3*d. Suppose g*i + 792 = 869*i. What are the prime factors of i?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 220337485.\nAnswer: 5, 41, 193, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8014769 is divided by 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) -1 (c) 2\/3 (d) -22 (e) 43\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/243878 and 145\/47976?\nAnswer: 2926536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 5*y - 3. Let j(w) be the first derivative of -w**2 + 2*w + 792. What is -3*a(d) - 5*j(d)?\nAnswer: -5*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -35998*i + 3383806. Give f(94).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 148, 553, 1212, 2125, 3292, 4713, 6388?\nAnswer: 8317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**9*m*m\/m**(-6)*m*m*(m\/((m*m\/m**(2\/79))\/m))\/m**(8\/3) assuming m is positive.\nAnswer: m**(3877\/237)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pwwk when four letters picked without replacement from dpwdwkppwpwwpwww.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*u = 9*u + 217. Calculate the lowest common multiple of 60 and u.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -19118 + 20862. What is the greatest common divisor of 16 and m?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 173*j**2 + 5*j - 2*j**4 - 346*j**2 - 3 + 157*j**2 - 3*j**4 + 4*j**4 + 0*j**4 + (3*j - 4*j + 0*j)*(-2*j**3 - 5*j**2 + 5*j**2).\nAnswer: j**4 - 16*j**2 + 5*j - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 205.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o - 7*o + 4*o - 5*o. Let v(d) = d**2. Calculate m(v(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 32*i**2 + 3*i - 50. What is the hundreds digit of f(-19)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*n**3 + 7*n**2 - 7*n**2 - 2*n**3 + 3*n**2 - 3*n**2 + (-3*n**2 + 0*n**2 + 2*n**2)*(5*n + n - 5*n) - 2*n**3 - 2*n**2 + 2*n**2.\nAnswer: -9*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1018 = -116*n + 1302. Solve -2*o - 2 = -v + 13, n = -o + 3*v for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2215620 and 4510.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 2 z, and 1 j when four letters picked without replacement from ggggzzgzgzzjzz.\nAnswer: 18\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7605*f**2 - 780*f + 20.\nAnswer: 5*(39*f - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*g + 12*g - 9*g**2 + 24*g**2 to the form z*g + i + m*g**2 and give m.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/9 + (-104)\/18. Let m(p) = p**3 + 7*p**2 + 6*p + 9. What is the units digit of m(y)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-420 - -448) + -1 + -15\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 0.068\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = d**2 - 5*d + 2. Suppose 15 - 5 = 4*s + 5*m, 4*m = -8. Let h be v(s). Factor -2\/11*q**h - 2\/11*q + 0.\nAnswer: -2*q*(q + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*n - 16, -3*q + 0*q - 4*n = -10. Let t be 0 - (0\/3 + -2). Suppose -q - 18 = -t*i. Solve -i = 2*m - 2*x, -2*x = 2*m + 2*x - 12 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (r**2 + 2*r**2 - 4*r**2)*((-1 + 4 - 5)*(3 - 5 + 5) + 29 - 180 - 6) in the form k*r**2 + p*r + b and give k.\nAnswer: 163","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-3 + -5 + -4 + (sqrt(448))**2 - ((sqrt(1400)\/sqrt(8))**2 - (sqrt(7) - sqrt(49)\/(sqrt(21)\/sqrt(3)) - sqrt(7))**2)).\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*z + 4*z - 5*z)*(-34 + 17 + 18) as p*z + q and give p.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.191 + 0.009. Let w = 5.359 + -5.039. Is w smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 522 is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 5.81*-44.1\nAnswer: -256.221","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 442356266 rounded to the nearest ten thousand?\nAnswer: 442360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 20887 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*j - 34*j + 3*j**3 + (2*j**2 - 3*j + 3*j)*(-2*j + 5*j - j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 65741513\/646 - 101767. Calculate the common denominator of -63\/10 and p.\nAnswer: 3230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -44, -2\/51, -2\/9, 94?\nAnswer: 94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 182 + -181.8. Let l be ((-15)\/(-10))\/((-84)\/(-32)). Put 3\/2, 2.6, l, g in decreasing order.\nAnswer: 2.6, 3\/2, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*x - 33*f - 537 + 1011, 2*f - 48 = 5*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2 + sqrt(425)*-1 - (sqrt(425)*1 + -1))**2 + -2.\nAnswer: 120*sqrt(17) + 10204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -115, -60, 31, 158, 321?\nAnswer: 520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 4*m**5 + 23*m**4 + 19*m**3 + 11*m**2 - 11*m. Let z(o) = -o**5 - 6*o**4 - 5*o**3 - 3*o**2 + 3*o. Let p(x) = 6*c(x) + 22*z(x). Solve p(s) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 85080 and 8400?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -76325, -152647, -228969, -305291?\nAnswer: -381613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14628 = 178*i - 1926 for i.\nAnswer: 93","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 26*l - 11. Calculate the remainder when d(3) is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14 - 9. Solve -m*v = 32 + 3 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (0 + 48 - (-1427 + 1400))\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/304 and -73\/12.\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3*a**3 - 40*a**2 - 44*a - 44. What is the remainder when h(-14) is divided by 140?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1824513553 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.58339 to one decimal place.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 954 and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 51071616 and 45364?\nAnswer: 4124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of i**3 + i**2 - 7526784*i + 423657088 wrt i.\nAnswer: 3*i**2 + 2*i - 7526784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-21))\/((15\/(-2))\/5)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14915763 or -14915762?\nAnswer: -14915763","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16430 divided by -106.\nAnswer: 155","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/30)\/(18\/(-27)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49 + -69. Let o = 20 + m. Let t be 5 - (-1216)\/(-180) - 24\/54. Which is greater: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -30472100 to the nearest one hundred thousand.\nAnswer: -30500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*d = -4 - 17 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/((3 - 1)\/2). Suppose -3*x + 2 - 8 = i. Let y = -12.1 - -12. Which is the closest to -1? (a) -0.3 (b) x (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 1229?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c**2 + 6844*c**3 - 6380*c**3 - c**2 + 3*c**2.\nAnswer: 464*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d. Let a(t) = -t**2 + t + 1. Let x(b) = -5*b**2 + 8*b + 8. Let r(l) = 24*a(l) - 3*x(l). Determine w(r(s)).\nAnswer: 18*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36194728 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 865152.\nAnswer: 2, 3, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 528749 is divided by 105729.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 2. Let q = 28.24 - 25.24. Which is the second smallest value? (a) s (b) q (c) -1\/6 (d) 9\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 7*j + 8. Is 13 a factor of x(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.5697 + -271.\nAnswer: -268.4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -34223021 (base 6) to base 14.\nAnswer: -1d2cbb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y + 943. Let o(d) = d - 940. Let j(x) = -4*o(x) - 5*w(x). Let i(s) = s. Calculate i(j(z)).\nAnswer: z - 955","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1f78bf4 + 4?\nAnswer: 1f78bf8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**2 + 4*d + d**2 - 4*d. Let f(v) = -15*v + 43*v - 18*v - 17*v. Calculate f(q(z)).\nAnswer: 21*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3295752\/455 - 36222\/5. Let j = -1389\/182 - v. What is the common denominator of 4 - 1\/(12\/119) and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -24154226 - -4?\nAnswer: -24154222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 + -7. Suppose l*v - 72 = 6*v. Let z = -16 - v. Calculate the remainder when 6 is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:45 AM and 2:56 AM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -46423455 (base 7) in base 9?\nAnswer: -7587536","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 15*f**2 - 12*f + 20. What is the units digit of x(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -166*f + 732*f - 233*f - 217*f - 187*f.\nAnswer: -71*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9963 divided by -3321.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*c**2 - 51*c - 416*c**4 + 13*c**2 - 19*c - 20*c**2 wrt c?\nAnswer: -4992*c**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 277 divided by -3\nAnswer: -277\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -57768*b**3 + 1666*b - 7.\nAnswer: -346608*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 times -70065\nAnswer: -28026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 4574790?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/(-18) - 2080\/(-36). Calculate the highest common divisor of 174 and n.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 55\/6 of a hour?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/20 and 107\/6960.\nAnswer: 6960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 13) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -6125?\nAnswer: 6121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/9 (b) -5 (c) -4.1 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -5*r - 7*r**2 + 9*r + 5 + r**3 + 3*r. What is the tens digit of z(6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 4*u = -28257, 73*v = 72*v - u + 28297. What is the thousands digit of v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1619, 13006, 43927, 104150, 203443, 351574, 558311, 833422?\n\"Answer: 1628*i**3 - i**2 - 6*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*f**2 + 22*f + 363.\nAnswer: (f + 33)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -325*t**4 - 4*t**3 + 3589*t.\nAnswer: -3900*t**2 - 24*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13.4 - 14. Let z be -4 + 21\/((-105)\/(-10)). Let k be (-9)\/4 + (-5 - -8). What is the smallest value in -4, x, z, k?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14507?\nAnswer: 89, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -193\/5 + 38. Let c = -0.2 + -0.8. Let a = c + 1. What is the nearest to a in k, 0.5, 2\/3?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 615 - 2*j + 53843*j**3 - 25355*j**3 - 26532*j**3 wrt j?\nAnswer: 11736*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -1. Let o(n) be the first derivative of -n**4 + 2*n**3 + 6*n - 2803. What is 6*l(f) + o(f)?\nAnswer: -4*f**3 + 6*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -13 - 0\/(0 - -2). Let h = 37 + m. What is the remainder when 45 is divided by h?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -1833*c - 78. Let z(u) = 10*u + 1. Determine -l(a) - 78*z(a).\nAnswer: 1053*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 818 - 457. Let w = k + -361.000153. What is w rounded to five dps?\nAnswer: -0.00015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 176*n - 2435 - 1613 = 0. What is the highest common divisor of 736 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1776799?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -ba468a (base 12) to base 5\nAnswer: -1223434034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26943 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 28, 82, 190, 370, 640?\nAnswer: 1018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/7 + (-3576)\/(-28). Let x be (-6)\/14 - j\/28. Let b(p) = -3*p - 2. What is the units digit of b(x)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(2\/3)\/(s*s\/s**(7\/2)))\/(s**0)**(-1\/57) assuming s is positive.\nAnswer: s**(13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-56)\/(-10) + 8\/20. Let t = b + -4. What is the least common multiple of t and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -31\/832 in 0.3, 1\/2, -1, 1, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 357910 to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12237, -10902, -9565, -8226, -6885, -5542, -4197?\nAnswer: -2850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.066036 millennia to decades.\nAnswer: 406.6036","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4848 + 7371. Are l and -1\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(240)\/sqrt(3))**2 + -1*sqrt(25)\/sqrt(5) + sqrt(15)\/sqrt(27).\nAnswer: -2*sqrt(5)\/3 + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3044.\nAnswer: 2, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16 + -17)\/((-1496)\/66 - -23)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -f + 89, 5*d - 4*f - 166 - 50 = 0. What is the closest to d in 0.4, 4, -9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 35 and 315?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 221 - -1?\nAnswer: 222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -234 + 236. What is the third derivative of -5*k**2 - 85*k**4 + 12 + 4*k**p + 199*k**4 + 23 wrt k?\nAnswer: 2736*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5893733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -3058.80772 to the nearest one hundred.\nAnswer: -3100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-12)\/35 - (-5)\/(-4 + 39). Which is the third smallest value? (a) -2\/15 (b) 0.8 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(2\/5)\/g)\/g**8)\/((g*((g\/g**(6\/7))\/g)\/g)\/(g\/(g*g**10*g*g*g*g))) assuming g is positive.\nAnswer: g**(-761\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/83 (b) 0 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -532, -941, -1342, -1735, -2120, -2497, -2866?\nAnswer: -3227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 544 + 568. What is the thousands digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -8698 + -102?\nAnswer: -8800","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/25*-10*(-21)\/(-12). Which is bigger: -55\/7 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the second derivative of -h**5\/80 + 29*h**4\/24 - 109*h**3\/24 - 21*h**2 + 7*h + 27. Find q such that a(q) = 0.\nAnswer: -1, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**3 + 4*s**2 + 18. Let m be u(5). List the prime factors of 133 + 1 + m + -4.\nAnswer: 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390379448 divided by 6?\nAnswer: -195189724\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-76)\/(-20) + 144\/4500*-25 - 146.\nAnswer: -143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b**3 + 12*b**2 + 47*b + 125. Let z be p(-8). Put z, 0, -33, 22 in ascending order.\nAnswer: -33, 0, z, 22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32791645?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(27\/(-18))\/((-27)\/(-4)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 309488261?\nAnswer: 29, 641, 16649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/7 (b) 1\/5 (c) 1\/9 (d) -3\/10 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 62*k + 70*k = 127*k + 35, 0 = -19*u + 6*k - 81 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(-9) - (-2 + 5974\/(-18)).\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/12)\/((-6)\/4)*6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 22?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120200 + -11?\nAnswer: -120211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4808817, -9617817, -14426817, -19235817?\n\"Answer: -4809000*k + 183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/33, 0.3, -0.21.\nAnswer: -0.21, 2\/33, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -408*o + 111*o + 121*o - 409*o.\nAnswer: -585*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2043, 1990, 1901, 1758, 1543, 1238, 825, 286?\n\"Answer: -3*j**3 - 32*j + 2078","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z + 5*w = 40, 7*z - 3*z - 1633 + 1656 = w for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 160\/12*(-1173)\/(-34). Calculate the greatest common factor of h and 200.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - (-8 + 15 + -2)) + -4 - 1\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/19? (a) -3 (b) 1\/3 (c) -1\/3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9680729887 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4859 and 26402?\nAnswer: 2983426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 1 - (-6170 - -6182 - (67 + 0 + -1)).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5143403 (base 7) to base 15\nAnswer: c273e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*k - k - 2*n + 18, n = k + 3. Let c be 1 + 10\/2 + k. Solve c*h - 4*h = -2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*x + 2*x + 5*x)*(1 + 0 - 7*x + 6*x)*(-5*x + 7*x**2 - 5*x - 10*x**2) to c*x**3 + s*x + b*x**2 + o + p*x**4 and give b.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 2080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-808)\/(-40) - 2\/10. Let g = j - 13. Calculate the remainder when g is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 206831 is divided by 32?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - y - 16 = 0, -j - 3*y + 0 + 1 = 0. Let z(l) = -2*l**3 - 8*l**2 + 9*l + 2. Let u be z(-5). Calculate the greatest common factor of u and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/((-3)\/1)*(-10)\/(-60)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 175656531?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -49 - -53. Suppose -t*c - 79 = -2219. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -187514\/1031721 + 32\/4281. Let z = -24089\/1446 + f. What is the common denominator of -85\/8 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 34*h**4 - 31214*h**3 + 18*h**2 - 67151912*h wrt h.\nAnswer: 408*h**2 - 187284*h + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 7*f - 6 = v, 0 = -2*f - 4*v + 12. Sort 4, 0, f in decreasing order.\nAnswer: 4, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -2*b**3 - 28*b**2 - 23*b - 5. Let d(i) = -i**3 - i - 1. Let v(o) = -d(o) + m(o). What are the prime factors of v(-28)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 - 46 - 21 - 12 - b.\nAnswer: -b - 95","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -2*j - 5. What is the remainder when (-223)\/(-5) - 4\/j is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 279 - 274. Let n = 22 + -12. Solve -n = -j - 3*h, l*h = 2*j + 2*h + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (0 + 2 - (-9 - -2))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 34*d**2 + 24*d - 45. What is the remainder when i(-33) is divided by 34?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 10620 and 4068.\nAnswer: 1200060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 16806 and 8.\nAnswer: 67224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 7:32 AM?\nAnswer: 10:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7832537917?\nAnswer: 67, 116903551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4830 is divided by 407.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.05 and -83.2?\nAnswer: 83.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-222)\/9)\/(6\/(-9)). Let r = x - 20. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 135*s**2 + 18*s + 46. Is x(-11) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(6\/(-1)*15\/(-10))\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1131 - 25464?\nAnswer: -24333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191638 is divided by 31820?\nAnswer: 718","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*u**2 - 5*u**2 - u**2)*(-1 + 1 - 3*u**2) - 2*u**4 - 2*u**4 + 5*u**4 + u**4 + 5*u**4 + 0*u**4 + u**4 + u**4 + 0*u**4.\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 7800096 (b) -1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -274*y - 430*y + 1947 = 27689 + 10866 for y.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -8285746, -16571497, -24857248?\n\"Answer: -8285751*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -50292, -100456, -150356, -199860, -248836, -297152, -344676?\n\"Answer: 22*d**3 - 50318*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5373 + -5352. Solve 17*m = -j*m + 152 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 1)*((3*o + o - 2*o)*(16 + 5 + 0) - 2*o + 0*o + o + (0*o - o + 0*o)*(-2 + 2 + 2) - 2 + 2 + 4*o).\nAnswer: -43*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -2*c + 5. Let g be ((-60)\/48)\/(1\/4). What are the prime factors of u(g)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001689834 rounded to six decimal places?\nAnswer: -0.000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 85, 138, 219, 322, 441?\n\"Answer: -d**3 + 20*d**2 + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 24099254 to the power of 1\/4, to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30377300 by 1518865.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1889, -3662, -5333, -6902, -8369, -9734?\nAnswer: -10997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.077574 to four decimal places.\nAnswer: -0.0776","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -74 - 574?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 349 and -50162.\nAnswer: -17506538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 2 a when four letters picked without replacement from {a: 4, e: 4, u: 3, w: 3}.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1732, 1746, 1764, 1786?\n\"Answer: 2*q**2 + 8*q + 1722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 110575229827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-18) + (-20)\/36?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 59 = 4*g - 29. Let x(j) = 4*j - 85. Let r be x(g). Suppose -4*a = s + s - 504, 983 = 4*s + r*a. What are the prime factors of s?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.0051 + -49.4051. Let m = -49 - n. Let a = -2 + 1.9. What is the closest to -2\/7 in a, -4, m?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77970 divided by -6?\nAnswer: -12995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 65 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11\/6 - 1\/3. Let i(p) = -p**3 - 4*p**2 - p - 4. Let l be i(-4). What is the closest to l in 4, k, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 152d (base 15) to base 6.\nAnswer: 33011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -12, 3, 7, 2\/395?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and -13490159.762928?\nAnswer: 13490163.762928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -94*u - 208*u - 3020 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*f + 25 = 1, 0 = 2*u + 2*f. Suppose 10 = -u*p + p. Sort p, 2, -3\/2 in decreasing order.\nAnswer: 2, -3\/2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 139714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -98*i - 8. Let n be (-2)\/(2\/(-8)*-4). Let r be b(n). Find the second derivative of -93*a**4 - 95*a**4 + r*a**4 - 9*a**5 - 19*a wrt a.\nAnswer: -180*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 868.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 - 48*u + 155. Calculate i(45).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 24*z**5 - 1 - 25*z**5 - 2 + z**5 - z**5 - z**5 + (2*z**5 + 0 + 0)*(-3 - 1 + 6).\nAnswer: 2*z**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/3604227 and 157\/132?\nAnswer: 14416908","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Work out -4757 - -2.\nAnswer: -4755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**4*u + 55*h**2*t**2*u + h**2*t*u + h - 24*t**2 - 2*t*u wrt h?\nAnswer: 12*h**2*u + 110*t**2*u + 2*t*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4*u**3 + 329271*u**2 + 4*u + 14799358?\nAnswer: -12*u**2 + 658542*u + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -154 - -149. Let m(n) = 5*n**3 + 2*n**2 + 4*n. Let i(y) = -6*y**3 - 2*y**2 - 5*y. What is h*m(w) - 4*i(w)?\nAnswer: -w**3 - 2*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q = -2*p - 3, 5*p = -83*q + 79*q + 3 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 16\/7, -1, -4\/9, -0.3, -0.7, 2\/15?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 2*i + 4 = 0, 4*o - 2*o - 19 = 5*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 17078 divided by -3314\nAnswer: -8539\/1657","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 0*t + 4*t - 114 = -0*t, 4*y + 39990 - 40090 = -t for y.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25 + -5. Solve 3*n = -n - h for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/15, 3\/5, 3\/8, 5\/3?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 5 = 15. Suppose 0 = -t - 3*t + m + 51, -3*m = -3*t + 27. What is the greatest common factor of t and w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*b**2 - 3*b**2 + 2*b**2 + (-2 - b + 2)*(-7*b - 8*b - 2*b).\nAnswer: 19*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6.04 - 7.04. Which is the third biggest value? (a) h (b) 3 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 3737?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 19, 47, 87, 139, 203?\nAnswer: 279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36551*m**2 - 72713*m**2 + 36223*m**2.\nAnswer: 61*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i. Let y(w) = 72*w**2 + 3*w + 33711. What is f(y(r))?\nAnswer: -216*r**2 - 9*r - 101133","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -26744, -26865, -26986?\n\"Answer: -121*y - 26623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6829743 divided by -183.\nAnswer: -37321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2500020*t**2 + 449612?\nAnswer: -5000040*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/2834216 and 1\/484.\nAnswer: 31176376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 0.19 * 3\nAnswer: 0.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in twenty-five halves of a kilometer?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/2*(-598830)\/25 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027 + 516 + 495 + 355*b - 31*b.\nAnswer: 324*b - 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (819\/(-9828))\/(23\/14076)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 74471?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/480*(-50)\/5?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - o - 1 = 0, -f + 0*f - 2*o = 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 221221202100 (base 3) to base 10\nAnswer: 510849","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 101\/(-11) + 7*80\/112 + 4.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 142143*m. Let j(w) = -26*w. Give t(j(a)).\nAnswer: -3695718*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 1226*h + 1329546 - 1329546 as m*h + r and give m.\nAnswer: 1226","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 664 + -665. Let o = 0.6 + -1. What is the closest to 0 in m, o, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the first derivative of -5*g**3\/3 + 5*g**2\/2 - g + 13. Let i(j) = 10*j**2 - 13*j + 3. Let w(n) = -2*i(n) - 5*r(n). Determine w(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n*n\/(n**7\/n)*n)**19 assuming n is positive.\nAnswer: n**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12559, 12771, 12987, 13207, 13431, 13659, 13891?\nAnswer: 14127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -19 + 19.045. Let y = x - 61.045. Let m = -54.6 - y. What is m rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j - 13*j + 23*j)*(j**2 - j**2 + 3*j**2) + (-j**3 - 2*j**3 + 2*j**3)*(-1 - 2 + 1).\nAnswer: 17*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**3 - 7*s + 7*s)*(4 + 3*s**2 - 4).\nAnswer: 6*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14089 is divided by 73?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 3*b + 12, -4*m + 23*b = 28*b + 20. Solve m = -13*h - 13 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1180771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 2*q**2 - 24*q + 690. Let h(z) = -8*z**2 + 92*z - 2761. Give -6*h(g) - 23*x(g).\nAnswer: 2*g**2 + 696","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 98908 and -13083381.95.\nAnswer: -12984473.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(3) + -5 + 3.\nAnswer: -2 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 (base 11) in base 9?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-1*sqrt(180) + -4 + -1 + 5*(sqrt(5) + 2 - sqrt(5)) + (sqrt(55)*-1)\/sqrt(11))**2.\nAnswer: -810 + 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 235017930?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**2\/12 + 273*l\/4 - 815\/3 = 0. Calculate l.\nAnswer: 4, 815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11598 or -57984\/5?\nAnswer: -57984\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 2\/17*j**3 + 16\/17*j**2 - 14\/17*j = 0.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -d**2 - 595*d - 594 = 0.\nAnswer: -594, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the third derivative of -65*b**6\/4 - 823*b**5\/30 + 1152*b**2. What is the third derivative of u(k) wrt k?\nAnswer: -11700","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 471959*b**2 - 235905*b**2 - 235955*b**2 - 5.\nAnswer: 99*b**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -81 - 42. Let z = 179 + u. List the prime factors of z.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*b + 25 + 7 - 11*b + 6 - 1 to the form t*b + h and give h.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77 - 209 = 20*g - 72 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**2 - 4*t - 3. Let j be w(3). Let d(m) = -7*m**2 + 6*m + 20. Let o(r) = -r**2 + r + 1. Let h(q) = j*o(q) + d(q). Differentiate h(u) wrt u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-6)*(0 + (-4)\/3). What is the common denominator of 71\/10 and (-8 + -5)*j\/16?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5.0449 - 0.0249. Let y = 0.02 - c. What is the closest to -1\/4 in 0.1, -3, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(648)*1)\/(sqrt(9) + sqrt(108)\/sqrt(300)).\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -10 + -11122?\nAnswer: -11132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 80 and 2128.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -14*n**3 + n**2 + 3*n + 2. Let z(w) = -w**3 + w**2 + w + 1. Calculate -p(q) + 2*z(q).\nAnswer: 12*q**3 + q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u - 4*u + 61 - 60. Let f be y(1). Let l(q) = -16*q - 2. Let t be l(f). Calculate the highest common factor of 240 and t.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7)\/21)\/((-2)\/(-6))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 30 + -57. Let x be 36\/s*33\/2. Is 22 a factor of (x\/1)\/((-3)\/9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 29 * 5414.\nAnswer: 157006","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.2, -2\/29, -371, 1\/85?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3512697 is divided by 585441?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) 4\/5 (c) -2150 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316207, -632423, -948641, -1264861?\nAnswer: -1581083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:56 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2456391332.\nAnswer: 2, 239, 1039, 2473","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2283*d. Let h(a) = 2*a**2. Calculate h(m(f)).\nAnswer: 10424178*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2960666 + 3529334. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13454690629 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5a - -18334?\nAnswer: 18285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198744 = -4963*t - 127800 + 162317 for t.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -993 - 30 = 92*u + 265 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: cbd (base 16) to base 10\nAnswer: 3261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14 (b) 15 (c) 4 (d) 0.02\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0. Which is the third biggest value? (a) 3 (b) 0.07 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28 (base 15) in base 9?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**3 - 34*g**2 - g - 31. Calculate the remainder when 3 is divided by i(-34).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that -3*o**3 + 834*o**2 + 207564*o - 4938120 = 0.\nAnswer: -174, 22, 430","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 - 9*i + 4. Let z(m) = -m. Let q(u) = o(u) - 5*z(u). Is q(6) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -109 and -162624.\nAnswer: 17726016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 82, 284, -1, 5 in ascending order.\nAnswer: -1, 5, 82, 284","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31620?\nAnswer: 2, 3, 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2606, -5233, -7860, -10487, -13114?\n\"Answer: -2627*a + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 298808.4 millilitres in litres?\nAnswer: 298.8084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1807437?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 4 - 6)*(-3 + 0 + 1) + 3 - 1 - 3 + 7 - 1 - 4)*((-4*n + n + 6*n)*(0*n**4 + 3*n**4 - 5*n**4) + n**5 + n**5 - 4*n**5).\nAnswer: 8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 23379*z**3 + 1893693*z**2 - 1917564*z + 492 = 0.\nAnswer: -82, 2\/7793, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i\/((i*i**8)\/i))\/(i\/i**0))\/(((i\/i**30)\/i)\/i*i\/((i**(-28)\/i)\/i*i)))**(1\/4) assuming i is positive.\nAnswer: i**(-7\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 245 and 7.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*d + 298*d - 41*d - 64*d - 81*d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 128621?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -416170 (base 9) in base 2?\nAnswer: -111100010111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22, -76, -166, -292?\n\"Answer: -18*p**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of w**5\/30 + w**2. Let i(q) = -31 - 30 + 61 + 12*q. Calculate a(i(y)).\nAnswer: 288*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -2*g + 12, 219*m + g + 19 = 216*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -18394593, -18394548, -18394501, -18394452?\n\"Answer: f**2 + 42*f - 18394636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3515 + 4?\nAnswer: 3521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 2*y**2 - 13509*y - 749036. Determine i(-55).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -10 + 14. Let m(b) = -b - 6. Let h be m(-6). Solve -p - 4*d = -9, h = -2*p - j*d + 6 - 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(54)\/sqrt(2)*-1)\/sqrt(9).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -13 - -6 - 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lfao when four letters picked without replacement from {o: 2, f: 2, a: 3, l: 4}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:00 PM and 9:32 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 53\/4 and 115\/85462.\nAnswer: 170924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-one halves of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 179\/300 and 79\/199754.\nAnswer: 29963100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 615 is divided by 385.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -9*o**3 - 17*o**2 + 4*o + 3. Let r(z) = 2*z**2 + 2*z**3 - 1 + 12348*z - 12348*z. Let g(v) = -f(v) - 5*r(v). Give g(6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -m - 112, -62 = -n - 3*m + 5*m. Let q = -246 - n. Let w be q\/((-1)\/(459 + 1)). What is w rounded to the nearest 10000?\nAnswer: 140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1273423 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -23d (base 15) in base 8?\nAnswer: -774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111 and 2294.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 + 2*o**2 + 4*o - 2. Let w(b) = -b - 3. Let u be w(3). Let j be 0 - (0 + u + 3). Let k be l(j). Let c(v) = v**3 - v**2 + v. Calculate c(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 9}. Give prob of sequence vvv.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -893*x**4 + 65*x**2 + 9. Let q(j) = 1339*j**4 - 95*j**2 - 13. Let m(w) = -7*a(w) - 5*q(w). Find the third derivative of m(s) wrt s.\nAnswer: -10656*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q - 264*r - 90 = -259*r, 5*q = 2*r + 81 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 51\/8 and -63\/9152?\nAnswer: 9152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/5)\/(-6))\/((-176)\/(-880)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -316, -301, -286, -271?\nAnswer: -256","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1140 divided by -6.\nAnswer: -190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987758 is divided by 633?\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fmdddpffmddpdmfpp. What is prob of picking 1 f and 2 p?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 149605, 149606, 149607, 149608, 149609?\n\"Answer: o + 149604","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 66 + 170 = 0. Suppose 0 = c - w - 194. Suppose -2*s = -4*b + 218, -4*b + c = 5*s - 0*s. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 4*b**2 + 7*b**3 + 0*b**3 - 6*b**2. Let z be g(3). Let j = 277 - z. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**3)**(1\/7)\/(b**6\/b**(3\/7)))**(-4\/3))**21 assuming b is positive.\nAnswer: b**164","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1010011 (base 2) to base 11\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + t. Let g(r) = -2*r**2 + 5*r - 2. Calculate -4*a(l) + g(l).\nAnswer: 2*l**2 + l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2. Let o(f) be the third derivative of -f**2 + 0*f**3 + 0*f + 0 - 1\/12*f**4. Give n(o(s)).\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 5 - c**3 - 11.\nAnswer: -c**3 - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = 194*u - 173*u + 30, -2*u = -4*m - 10 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -4*q**2 + 4399*q - 4396*q + 5*q**2. Let f be h(4). Solve 5*y = 5*i - 30, -4*y + f = 4*i - 9*y for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1105, 1109, 1115, 1123?\nAnswer: 1133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**3*m*m)\/m)\/m*m)**(1\/2)\/(m**(3\/7))**(-5\/3) assuming m is positive.\nAnswer: m**(26\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -606*b**3 + 1810*b**3 - 4 - 607*b**3 - 596*b**3 + 4.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*b - 5*b - 2*b**4 - 1022*b**3 + 1026*b**3 as n*b**2 + j*b**4 + o*b**3 + z + p*b and give o.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 105875033.\nAnswer: 11, 9625003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 245687747182329?\nAnswer: -245687747182328.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 44 + -43.962. Let m = -7.562 - x. Let d = m - -2.5. What is d rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1175324 + 3?\nAnswer: -1175321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y\/(y*y\/y**(-2\/3)))\/y)**(-3\/19)*y\/(y\/(y*y**(-1\/3)*y))*y**(-6))\/((y\/(y**(1\/5)\/y*y))\/y**(-1\/2)*(y*y*y**1)**26) assuming y is positive.\nAnswer: y**(-47521\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -268*i**3 - 552*i**2 - 300*i - 16 = 0.\nAnswer: -1, -4\/67","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 545*u - 545*u - 2*u**2. Let d(v) be the third derivative of -6*v**2 + 0*v**3 + 0*v**4 + 0 - 1\/10*v**5 + 0*v. Determine m(d(p)).\nAnswer: -72*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 20 = 3*v. Let n be 1\/5 - (-16)\/v. List the prime factors of -2 + (-33)\/n + -2.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 536639 and -8909?\nAnswer: 545548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/f**(-3\/2)))**(-5))**(-3\/10) assuming f is positive.\nAnswer: f**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12475582*m**5 - 2*m**4 + 2446*m + 2913?\nAnswer: -249511640*m**3 - 24*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3641137 millennia to decades.\nAnswer: 36.41137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sssg when four letters picked without replacement from ssggssssssggsgssgsg.\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2199?\nAnswer: 3, 733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*d - 24 = 14*d for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*t + 572 = 59*t + 57*t. Calculate the remainder when 6861 is divided by t.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21565, 21438, 21229, 20944, 20589, 20170, 19693, 19164?\nAnswer: 18589","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j - 3. Let w be u(-1). Let r = -0.579 + -0.041. Let a = 0.12 + r. Put a, 24, w in decreasing order.\nAnswer: 24, a, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*v - 43*v**2 + 6*v - 11*v)*(-12*v**2 + 245 - 245)*(-1 + 2 - 3).\nAnswer: -1032*v**4 + 48*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8483280 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (4 + -2)\/((-8)\/4). Let m = 100 - 103. Which is the closest to -3? (a) 2\/5 (b) m (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:17 PM and 2:34 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1027*f**3 + 2549*f**3 + 1144*f**3 - f**2 + f**2 + 2*f**3 + (4 - 4 - 2)*(-2 - 2*f**3 + 2).\nAnswer: 4726*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79005885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 133978234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11904 divided by 744?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34561 is divided by 326?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(150))\/sqrt(2) + -3)**2 + (-5 + -3 + 2 + sqrt(3))*-2.\nAnswer: 28*sqrt(3) + 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - q = -4*g + 64, 3*q - 83 = -5*g. Let c = 99 + -81. Are c and g non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r + 43*r = 102*r - 31*r - 980 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of -r**8\/20160 - r**7\/2520 - r**5\/15 + r**2. Let l(q) be the third derivative of b(q). Factor l(z).\nAnswer: -z*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lii when three letters picked without replacement from {e: 2, l: 5, i: 2}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2229*z + 2174*z + 110 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -46 + 86 + 44*i**3 - 4*i**3 wrt i.\nAnswer: 120*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 46, 0, 147 in decreasing order.\nAnswer: 147, 46, 0, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*q + 54867 + 425150 = -98575. Does 144 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 68698.63 days?\nAnswer: 5935561632000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75714, 151440, 227166?\nAnswer: 302892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/13))**(-36\/11) assuming c is positive.\nAnswer: c**(-72\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z**(-1\/5)*z**(-12)*z**(-22)*z*z**(-11))**6 assuming z is positive.\nAnswer: z**(-1296\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*a = -1495 - 377. Let o = a + -145. What are the prime factors of o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41969066?\nAnswer: 2, 23, 79, 11549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(33))\/sqrt(11) - sqrt(3) - (2*(0 + sqrt(3)) + sqrt(3) + sqrt(3)))**2*1.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y**4 + 15*y**3 - 15*y**2 + 15*y - 21. Let m(c) = -c**4 - c**3 + c**2 - c + 1. Let t(q) = -15*m(q) - r(q). Differentiate t(w) with respect to w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -38 - (2 - 0 - 2). Let q be p\/(-9) + (-6)\/27. Let i = 21 + q. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 8:26 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 593690 rounded to the nearest one hundred thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 1\/483328?\nAnswer: 1\/483328","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 17637\/268 + -4292\/67. Find f, given that 0 - l*f**3 + 1\/4*f**4 + 0*f + 3*f**2 = 0.\nAnswer: 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9473749 a multiple of 191?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = t. Let u(a) = 98*a**2 + 137*a**2 - 143*a**2 - 1 + 160*a**2. Is u(t) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**3\/3 - 1. Suppose -2*f - 12 = 3*j, 3*f + 20 = 5*f - 5*j. Let p be c(f). Solve p = 4*b - 2 - 14 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -26, -40, -54?\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**4 + 35*d**6 - 270*d**6 + 6*d**2 + 210*d**2 - 5*d**4 wrt d.\nAnswer: -28200*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**3 - 11*b**2 - 23936*b + 287063. Determine n(12).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.11 + 0.11. Suppose 17 = -4*o + 3*m, 0 = 2*o - 4*m + 2 + 4. Put y, -2\/9, o in increasing order.\nAnswer: o, y, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2*-5*(-58)\/(-116).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 335901.8 micrometers?\nAnswer: 0.3359018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v - v = 34. Solve v*y - z + 8 = z, -2*y + 5*z - 14 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2393814 - 10.\nAnswer: -2393824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3501, -3507, -3517, -3531, -3549?\nAnswer: -3571","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 + -7. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -273 + 400 = 133*y + 11991 - 293 for y.\nAnswer: -87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*w**4 - 155*w**3 + 140*w**2 + 300*w.\nAnswer: 5*w*(w - 30)*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes before 1:29 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 8) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2826.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.13343 - -0.16343. What is the second smallest value in s, 10, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -15*n + 18. Let r(q) = -5*q + 6. Let d(j) = 6*o(j) - 17*r(j). Find the first derivative of d(w) wrt w.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 160 and 44?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 8*p**2 + 12*p - 3. Suppose v = -1 - 0. Let y(x) = -x + 1. Let i(h) = v*s(h) - 3*y(h). What is the second derivative of i(j) wrt j?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s - 638 = -3*p - s, -2*s = -3*p + 628. Let h = -206 + p. Put -3, 70, h in descending order.\nAnswer: 70, h, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that l**3\/4 + l**2\/4 - 25*l\/4 - 25\/4 = 0.\nAnswer: -5, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 0)*(-21 + 3 - 5)*(z**4 + 0*z**3 + 0*z**3).\nAnswer: 46*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -4 - 2*b + 7 + 8*b**2 - 5*b**2 - 5. Let m be r(-1). Let j = 1 + -5. Sort m, -10, j in descending order.\nAnswer: m, j, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 40*t - 44*t. Let y = -0.2 + 1.2. Let j = 35.99 + -35.99. What is the nearest to y in j, t, 4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-78)\/(-8))\/(-9*1) and -89*(-2)\/(-36) - -1.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 4*y - 8, -2*y - s + 16 = 3*s. Suppose y = f - 27 + 2. Is f at most 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 3. Let k(z) = -5. Let u(x) = -11. Let q(m) = -7*k(m) + 3*u(m). Let l(r) = -2*d(r) - 3*q(r). Let h(t) = -2*t**2. What is h(l(p))?\nAnswer: -8*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the second derivative of -121*f**4\/6 - 721*f**2\/2 + 332*f. Find the first derivative of m(j) wrt j.\nAnswer: -484*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 526262.\nAnswer: 2, 11, 19, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 882.3627 micrometers in meters?\nAnswer: 0.0008823627","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -87 + -11. Let z = -41 - n. What is the least common multiple of z and 24?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -3*u. Let t(r) = 29*r**2 - 3*r - 1. Let i be t(-1). Let q(b) = -8*b - 9*b + i*b. Calculate p(q(z)).\nAnswer: -42*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 187 - 279 + 2*x**2 + 761 + 861 in the form b + f*x + w*x**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13715, -13720, -13735, -13766, -13819, -13900, -14015?\nAnswer: -14170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 35 (base 10) to base 7\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 410497697?\nAnswer: 29, 14155093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -109 - -551. Let k = g + -442.24. What is the closest to -3\/5 in -3\/5, 3, k?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 4*u**2 + 10*u + 11. Let s(y) = -6*y**3 + y. Let v be s(1). Let r be w(v). Let d = 64 - r. Sort d, 1\/7, -0.2 in decreasing order.\nAnswer: d, 1\/7, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -9*h**2 + 1405*h + 2838. Determine y(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0857 or -2482?\nAnswer: -2482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 + 10. Does 3 divide (-6)\/9 + (-80)\/b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4 (b) -5\/4 (c) -7 (d) -128\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -3*h - h, 2*k + 5*h - 1970 = 0. What is the hundreds digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24 + -18 - (1 + 6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i = -3*i - z - 1365, -297 = -i + 5*z. Suppose -87 = 5*x - i. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 42162153 and 38329230.\nAnswer: 421621530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s - 31. Let g be w(12). Suppose 0 + 15 = g*v. Which is bigger: v or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-28)\/(-70)*(268 - -2). Suppose 41*g - 29*g + m = 0. Which is the third smallest value? (a) -1\/4 (b) -0.2 (c) g (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 176*n**2 - 3186*n + 190*n**2 + 3186*n.\nAnswer: 366*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1606 and 1498544.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let o(t) = t - 4. Let m be o(5). Let b(q) = 2 - m - 1 + 3*q. Calculate b(r(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x**4 - 4*x**3 + 2*x**2 + 6*x + 3. Let z(w) = -9*w**4 - 39*w**3 + 21*w**2 + 60*w + 30. Let p(g) = -21*c(g) + 2*z(g). Factor p(a).\nAnswer: 3*(a - 1)*(a + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3034 (base 11) to base 14\nAnswer: 167c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7 + -700105?\nAnswer: -700087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (41\/((-779)\/38))\/(4 + -22 + 0).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87099131 divided by -1.\nAnswer: -87099131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1460929 to the power of 1\/2, to the nearest integer?\nAnswer: 1209","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 21.5. Sort 9, o, -2\/3 in descending order.\nAnswer: 9, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1997*f = 49928 - 26772 + 56724 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 56*b + 1140. Suppose 2*t = -241 + 2325. Suppose -347 + t = 5*s. What is the remainder when s is divided by d(-20)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n + 2. Let o be y(2). Let c(s) = -8*s + 16 + 25 + 22*s - 11 + 7*s**2. Let w be c(-2). What is the greatest common factor of w and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 67925606?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12.796 - -0.204. Let p = g - 8. Let v be ((-4)\/(-10))\/(155\/(-25)). Which is the third biggest value? (a) v (b) 3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 7*g - 222. Let j = -29 - g. Suppose 0 = -5*n - r + 151, n + 10*r = j*r + 23. Which is bigger: n or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = b - 3. Calculate the remainder when b is divided by 261\/609 + (-46)\/(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13 and 11117?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 46\/2541 + 89525\/60984. Calculate the common denominator of v and -107\/54.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (15\/12)\/((-2)\/(-8)). Suppose -3 = -x*c + 2. Let v = c - 4. Put v, 0, 5 in increasing order.\nAnswer: v, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -374 or 392\/359?\nAnswer: -374","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -3*b + 1, 2*i + 8*b + 5 = 11 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 5*m**3 - 7*m**2 - 8*m - 6. Let l be (45\/20)\/(-2 + 292\/144). Let o be (l\/2)\/9*(3 - 1). Let u be d(o). Round u to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -23*s - 1. Let b = -70 + 72. Suppose 0 = 4*w - 2*w + 4*i - 2, 2*w + b*i = 10. Calculate the remainder when k(-1) is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 2\/159 (b) -44 (c) 2.5 (d) 4 (e) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 298?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + 5*q**2 + q - 3. Let d be u(5). Suppose -d*g + 1 = -1. Which is the closest to 1? (a) g (b) -1 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 5891744678 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -2, 4, -13 in descending order.\nAnswer: 5, 4, -2, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 242 is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 3*n - 5*i = 762, -5*i - 10 = 0. Is n at least as big as -184?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 divided by 20\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 288 - 284. Suppose -5*c + w + 108 = 0, m*c - 71 - 19 = 2*w. What is the remainder when 59 is divided by c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 676*f + 131 - 489*f - 186*f. Let o(x) = -5*x**2. Calculate d(o(j)).\nAnswer: -5*j**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of 7 - 1\/4*k**4 + 8*k + k**2 - 7\/3*k**3. Give n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128269063 a multiple of 131?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 6*n = -5*x, 3*n = 15. Suppose 103 = x*j - 45. What is the remainder when j is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790 = 324*b - 1802 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 9, w: 3, s: 1, o: 1}. What is prob of picking 2 w?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 5*z - 2. Let j be d(-6). Let x(q) = -j*q + 3*q + q + 2*q + 1. Is x(7) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2 + (-2 + sqrt(176) + 2)**2 + 2)*-4.\nAnswer: -696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-76)\/(-6)*(-8 + (-152)\/(-16)). Solve 638 = j*i + 505 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 325 = 32*a + 229. Let d = 2\/71 + 108\/1207. What is the second biggest value in d, -0.3, a, -7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 - 44*k + 136. Is q(-35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3923 - -3959. What is the remainder when v is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-34)*f)\/f)\/f**(-41) assuming f is positive.\nAnswer: f**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 38 = 2*v + 2*v, -2*v = -5*r + 34. Let z be (-1)\/((r\/(-2))\/9). Let b be ((-4)\/10)\/(z\/30). Put 8, 3, b in ascending order.\nAnswer: b, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 4637\nAnswer: 13\/4637","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5845?\nAnswer: 5, 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttttbttttttttttttt. What is prob of picking 2 t?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 373374 + 373373 + 1113*b - 746747 - 1139*b.\nAnswer: -26*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 3*a = -25, 579*s + 15 = 576*s + a for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*t**6 + 38*t**3 + 103*t**2 wrt t.\nAnswer: 360*t**3 + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4477, 17897, 40259, 71563, 111809?\nAnswer: 160997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the third derivative of 3*j**5\/20 - 233*j**3\/3 - 4063*j**2 - 1. Let b(m) = 2*m**2. Calculate b(u(x)).\nAnswer: 162*x**4 - 16776*x**2 + 434312","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/69 - -179\/2139. Suppose -2*i + 1 = -1. Is n at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the third derivative of -r**6\/30 - r**5\/60 + r**3\/2 - 167*r**2. Let q(p) = -p**3 + 1. What is -m(g) + 6*q(g)?\nAnswer: -2*g**3 + g**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + (72 - 107 - 43) - (-1 + 2).\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*p**3 + 4 - 4)*(-2*p + 3*p - 3*p)*(-3127 - 2861 + 5092) as k*p**3 + h*p**4 + n + z*p**2 + b*p and give h.\nAnswer: 3584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 117715000 to the nearest 1000000.\nAnswer: 118000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 183*j + 835. Calculate the remainder when k(-3) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*u - 272 = -6*u + 4*u for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 100*f**3 - f**2 + 13*f - 7. Is 54 a factor of l(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*f + 6*f - 4*y - 65 = -16*f, 34*y - 85 = 5*f for f.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= 11\/439?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -631 take away 2018523188234?\nAnswer: -2018523188865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ioppoooofdpii. What is prob of picking 3 o and 1 d?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 - 7*r. Let h be w(-6). Suppose 0 = 3*k - 4*k + 42. Calculate the highest common factor of k and h.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1582a3 (base 14) to base 12\nAnswer: 3034b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 + (-5 - -1))*-1. Let n be (f\/(-3))\/(3\/(-27)). Find the common denominator of (496\/28 + n)\/(18\/21) and 121\/24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903099 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 6 = 14. Suppose -3*k + 21 = 5*i - 26, 0 = 2*k - h*i + 2. Does 3 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(270)*-2 - sqrt(270))\/sqrt(6) + (0 + sqrt(45) + -2)*1.\nAnswer: -12*sqrt(5) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 176*h**2 - 876*h - 17. What is m(4)?\nAnswer: -705","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 148 divide 149480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s**4 - 2680*s**3 + 451052*s**2 - 1334456*s + 886080 = 0 for s.\nAnswer: 1, 2, 312, 355","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 0*f + 9 = 0. Let d(c) = -3*c - 1 - 2 + 2*c + 13*c. Let o be d(f). Calculate the greatest common divisor of 33 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 - -6. Let u = -2 - -2. Suppose u = -q*l + 194 - 34. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 4 = -1, u = -2*b + 1122. Calculate the highest common factor of u and 120.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 2*d + (6 - 1 - 4)*(-d + 2 - 2) + 4 + 2*d - 4 + (12*d + 3*d + 12*d)*(2 - 4 + 1).\nAnswer: -28*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 1, -2, 21?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11.4 - 0.4. Let l = 13 - f. Which is smaller: l or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 6*r + 7 = -2*r, -r = -5*b + 2. Suppose 2*v + 9 = 5*v. Let f(m) = 2 + 2*m + 9*m**v - 1 - 9 - m**2 + 7. What is f(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8279.523 rounded to zero decimal places?\nAnswer: 8280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 209012?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 21020001002100 (base 3) in base 13?\nAnswer: a454ac","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/s**(3\/2)))\/s**(-3)*(s\/(s\/(s\/((s**(-1)\/s*s)\/s))))**2 assuming s is positive.\nAnswer: s**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 50 - 66 = 0. Suppose -4*d + n*y = -8, 3*d - 4*d + 12 = 4*y. Solve d = -o - 3*q, 6 = -4*o - 3*q + 17 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 6 - 1 + 11*w + 0 as u*w + r and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 138*i + 140*i + 134568 = 0, -4*i = -20. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes before 2:55 AM?\nAnswer: 9:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12562729 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12.65 or 1\/2?\nAnswer: -12.65","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -7 - 18. Suppose p - 2 = -z. Let q = -3 - 1. Is z > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/45)*t*t**(-13) assuming t is positive.\nAnswer: t**(-538\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 457810798 a multiple of 1010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/7)*t*t*t**(-4))**(3\/7) assuming t is positive.\nAnswer: t**(-48\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 850 and 136.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992181 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*m**4 - m**4 + 7*m + 0*m**3 + 0*m**3 wrt m?\nAnswer: -48*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k - 23*k**2 + 0*k + 60*k**2 as o*k + y + f*k**2 and give f.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by 6\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h + 2. Let u be o(4). What is the tens digit of 2\/(-4) + 69\/u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.009 - -6.009. Is -3\/5 bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.214 + -3.914. Suppose 0*s = 3*s - 12. Let z = 2.41 - 2.71. Put -2\/7, s, z, i in descending order.\nAnswer: s, i, -2\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15663314631 + 4?\nAnswer: -15663314624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(242) + 2 + -5 - ((sqrt(2) - ((sqrt(14)*3 + sqrt(14))\/sqrt(7) - sqrt(2))) + -1)) + 1)**2.\nAnswer: 26*sqrt(2) + 339","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1540071373.\nAnswer: 1540071373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86 is divided by 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 704?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/54340 and -43\/1170.\nAnswer: 489060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -z**3 + 2*z**2 - 17*z - 10. Let t(s) = -s**3 + 3*s**2 - 18*s - 13. What is 4*b(h) - 3*t(h)?\nAnswer: -h**3 - h**2 - 14*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 893294 to the power of 1\/2, to the nearest integer?\nAnswer: 945","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/6 - t**2\/2 - 4*t. Let d be q(3). Let k(u) = d + 8*u**2 - 4*u**2 - 2. Let m(c) = 2*c**2. Determine k(m(w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428 - 10\/8*(-21 - -17) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/10, -2\/3, -1\/5, 3528, -1, -1\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 13811954, 13811948, 13811940, 13811930?\n\"Answer: -q**2 - 3*q + 13811958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iisbiiijppjbbiisiij. What is prob of sequence sbbs?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n. Let l(g) = g - 1. Let c(a) = 3*l(a) + y(a). Let z(t) = -9*t + 4. Determine 7*c(x) + 6*z(x).\nAnswer: 2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 963.\nAnswer: 3, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17668 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-16)*6)\/(102\/272).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -304*v - 14 = 3*k - 306*v, 14 = 2*v for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 13) to base 5.\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + 1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + 2*o - o + 4*o - 3*o - 3*o + 2*o + 0*o + 0*o + 1 - 1 - 2*o + (0*o - 2*o + 3*o)*(-6 + 1 + 3).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 532*i - 126*i + 145*i + 393*i + 446*i in the form x*i + k and give x.\nAnswer: 1390","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3009390.529 to the nearest 100.\nAnswer: 3009400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3)\/(s*s*s*s\/(s\/((s\/(s**0\/s))\/s*s*s*s))*s*s))**12)**(1\/67) assuming s is positive.\nAnswer: s**(-100\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0\/((-5)\/2*(-8)\/(-10)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*c - 7*c + p + 40 = 0, -2*p = -5*c + 11 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -407, -767, -1119, -1481, -1871, -2307, -2807?\n\"Answer: -3*w**3 + 22*w**2 - 405*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -7232\/37 and -195 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/45*3*-2)\/(2\/(-40)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 5*k - 65. Let d(v) = 2*v**2 - 18*v + 30. Let p be d(8). Let j be w(p). Solve -5 = -4*n + 4*a - 17, n - 5 = j*a for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -32*i**4\/3 - 1395568*i**3\/3 + 697800*i**2 - 1046708*i\/3 + 174452\/3.\nAnswer: -4*(i + 43613)*(2*i - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*c - 12*c - 15*c - 15*c - 19 in the form m + t*c and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-6)*153\/85*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*j - j - 2820 + 2820 - 23*j**2.\nAnswer: -23*j**2 + 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 e when four letters picked without replacement from sehlr.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -45, 197, 501, 867, 1295, 1785?\n\"Answer: 31*n**2 + 149*n - 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/3)\/((-1)\/198). Let v be (s\/(-10))\/(7\/525). What is v rounded to the nearest 100?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*u - 46*u + u**2 - 716 + 11*u + 2*u**3 + 12*u in the form z*u**3 + o + v*u + c*u**2 and give o.\nAnswer: -716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 20. Suppose -2*h = h - 2*b - 22, c = 5*h + b. Suppose 0 = h*t - 67 + 19. Does 3 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -10279, -10264, -10247, -10228?\n\"Answer: d**2 + 12*d - 10292","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 11*t + 5 = -2*t. Let q = 5 - -3. What is the remainder when q is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 19 = -3. Suppose 1710 - 442 = q*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that v**3\/3 + 31616*v**2\/3 - 63236*v\/3 = 0.\nAnswer: -31618, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 31522 to the power of 1\/2, to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -14628*a + 2852466. Give p(195).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, 3, -4, -24004, 0.5, -3, -0.11?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 5}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1052168855445 + 1.\nAnswer: -1052168855444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 358*y**3 - 31*y**2 - 45*y**2 + 642*y**3 - 349*y**3.\nAnswer: 651*y**3 - 76*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 885607 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -204 + 206. Let u(h) = 76*h + 2 - 39*h - 39*h + h**t. Determine u(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, u: 4, s: 1}. Give prob of sequence ru.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.24 and 373441.\nAnswer: 373441.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1497472*b**3*k**3 + 14*b**3 - 580*k**3 + 85534*k + 1 wrt b.\nAnswer: -4492416*b**2*k**3 + 42*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8 + 4*i - i + 0*i + 6. Is 30 a factor of r(6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -2*y**2 + 2*y - 24. Let n(g) = 3*g - 2. Suppose 3*c - 24 = -c. Calculate c*n(d) + 5*h(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-70))\/(22\/(-110))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*w - 56522*a = -56527*a + 489, -2*a + 30 = -3*w for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -258 + 615. Suppose -71*c + 3927 = 116*c. Calculate the greatest common factor of c and h.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 21*o**3 - 2*o**2 - 7*o - 5. What is r(-1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v - 2*o + 16 = -2, -20 = 4*v - 4*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 1 = -2*f + 3*u, -f + 4*u - 7 = 0. What is the least common multiple of (20\/16)\/(f\/16) and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 69700, 69895, 70090?\nAnswer: 70285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 513.4*-0.2.\nAnswer: -102.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 7*u - 11. Let z be b(-5). Let x = 25 - 21. Suppose 2*q = -5*y - 25, x*y = -5*q - 32 + 12. Sort q, -3, 16, z.\nAnswer: -3, z, q, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -2*h**3\/3 - 14*h**2 - 697*h. Let d(z) = 5*z + 27. What is -5*d(u) - 6*x(u)?\nAnswer: -u + 33","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 + 13. Factor -y**i + 1\/4 - 1\/2*y - 7\/4*y**2.\nAnswer: -(y + 1)**2*(4*y - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 3 (c) 3\/16 (d) 1\/143 (e) 14.5 (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 236 + -43cc?\nAnswer: -4196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1 - (35\/(-4))\/5. What is the third smallest value in 3, -3, v?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -2 - 13\/(0 - -1). Let k be (75\/(-6))\/((-1)\/(-2)). Let w = m - k. 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: List the prime factors of 32679345.\nAnswer: 3, 5, 197, 11059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-1) + (-4 - -4). Differentiate -13 - 4*l**2 + 4*l**2 + 2*l**r wrt l.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -79\/4 + 20. Let h(p) = p**3 - 7*p**2 - 23*p. Let m be h(9). Let o = m - -45. What is the nearest to t in o, 4\/3, -0.5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -173.05 - -155. Let m = d + 14.2. Let l = -0.15 + m. Which is the smallest value? (a) -2\/3 (b) 1\/5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54351 is divided by 2857?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -63. Let o be x\/5 - (7 + -5). Find h, given that -o*h**5 - 12\/5*h**3 + 0 + 0*h + 0*h**2 - 36\/5*h**4 = 0.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the second derivative of -s**8\/840 + s**6\/180 - s**3\/3 + 5*s. Let g(w) be the second derivative of h(w). What is the third derivative of g(r) wrt r?\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1226 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 17039.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 39\nAnswer: -3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 - -6.7. Let r(b) be the first derivative of b**3\/3 + 11*b**2\/2 + 3*b + 3. Let k be r(-11). What is the second biggest value in 1\/5, k, u?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 3*x + 47 = -2*x, 1 = -j + 3*x. Calculate the remainder when 83 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 5:52 PM?\nAnswer: 1:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 9*q + 1. Let d be (1 + -1)\/((2\/(-2))\/(-1)). Suppose 9 = 3*j - 3*n, -3*j + n + 9 - 8 = d. What is h(j)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148*o**3 - 68*o**3 - 95*o**3.\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/30 and 94\/45.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1882?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d*d\/(d**9\/d)))**(-5))**34 assuming d is positive.\nAnswer: d**(-1190)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -95*c - c**2 - 88*c + 177*c + 9*c**2.\nAnswer: 8*c**2 - 6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921073221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*r + 47 + 63 = 0. Is r at most 11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ss when two letters picked without replacement from ffsyjfjjffsfafjjj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31.1289 + -166181.1289. Let u = w - -166154.99956. Let n = u + -5. Round n to 4 decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kdqttfi. What is prob of picking 1 d and 1 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -533*s - 1984. Calculate o(-4).\nAnswer: 148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 8 = -24. Let o be ((-4)\/(-3))\/(2\/27). Let z be 2 - 5\/o*d. Which is bigger: 0 or z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -12*t - 17. What is the tens digit of h(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 2*m**2 - 2. Let d(g) = -2*g**2 - 89. Give k(d(f)).\nAnswer: 8*f**4 + 712*f**2 + 15840","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -140 = -5*a - 5*s, 5*s - 76 = -3*a + 18. Suppose 31*q = 30*q + 5. Suppose -q*r + 2*g = -106, g + 0*g = r - a. Is 9 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*m - 153 - 197. What is the smallest common multiple of (-64)\/(-5) + 56\/m and 26?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/448386 and 71\/2690316.\nAnswer: 2690316","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138939064?\nAnswer: 2, 11, 1578853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 137801610?\nAnswer: 2, 3, 5, 1531129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00606874 to 4 decimal places.\nAnswer: -0.0061","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 408 + 192 + 201)*(0 - 1 + 0).\nAnswer: -k + 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*k - 2. Suppose 3*m = h - 7, 2 = -k*m - 4. Let o = h + 4. Solve x = 2*x + o for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3567 (base 10) in base 6?\nAnswer: -24303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-9)\/54 - 10\/(-6). Let x = -0.7 - -0.2. Which is the second biggest value? (a) x (b) u (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(360))\/sqrt(8))**2 + 0 + ((sqrt(180) - (sqrt(180) + -5 + -1*sqrt(180))) + 4)**2.\nAnswer: 108*sqrt(5) + 306","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -6818931 * 9\nAnswer: -61370379","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 255093173 by -3.\nAnswer: -255093173\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/1475, 3, -26\/7, -5 in decreasing order.\nAnswer: 3, 1\/1475, -26\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61927758?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -12*o**3*p**2 + 3012*o**3 + 18*o*p**2 + 2*p**2 + 13 wrt o?\nAnswer: -72*o*p**2 + 18072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 235667619.\nAnswer: 3, 11, 2380481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 51*z + 6135 - z**2 - 6135 - 15*z**3 wrt z.\nAnswer: -90*z - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 302307?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058 times 1.355763?\nAnswer: 0.078634254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1117410 by -714.\nAnswer: -1565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**6\/120 - 5*v**4\/24 + 2*v**3\/3 - 21*v**2\/2 - 21. Let x(n) be the second derivative of g(n). Calculate x(3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2775299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51 - 5*y + 56 + 49 - 208 + 53.\nAnswer: -5*y + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2713*f + 1. Let u(b) = -21693*b - 8. Give 23*l(j) + 3*u(j).\nAnswer: -2680*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 16401.\nAnswer: 2\/16401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1341*u**2. Let s(a) = 38*a - 3. Let y(f) = 13*f - 1. Let z(k) = 2*s(k) - 6*y(k). Give p(z(n)).\nAnswer: 5364*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16255 - 14079 = 1046*o for o.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k = -3*c + 1044 - 1047, 4*k + 3*c + 21 = 0 for k.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/365539 in -4, -2\/11, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -3*p. Let u = -51.919 - 0.081. Let q = u + 50. Which is the biggest value? (a) -4 (b) p (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 55219104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2308 - -14585. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -642 divided by 49?\nAnswer: -642\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -421, -102, 5 in increasing order.\nAnswer: -421, -102, -5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - w - 24 = 0. Let i be w + -4 + (4 - 7). Solve -6 = -i*z - 1 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1374 + 36271. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/((c\/(c**(-3\/2)*c)*c*c)\/c))**(-16\/3)\/(((c**10\/c)\/c)\/c*c*c**(2\/3)\/c) assuming c is positive.\nAnswer: c**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -466823*w**4\/6 + 8402815*w**3\/3 - 33611268*w**2 + 134445168*w - 576.\nAnswer: -(w - 12)**3*(466823*w - 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3316238, -6632477, -9948716, -13264955, -16581194?\n\"Answer: -3316239*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 746805*q**2 + 747276*q**2 - 1494515*q**2.\nAnswer: -434*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 362.585391 rounded to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 101*v**8\/840 + v**4\/12 - 21*v**3\/2 + 89*v. Let o(x) be the second derivative of r(x). Differentiate o(n) with respect to n.\nAnswer: 808*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 7. Let q(o) = 740*o + 129492. Let u be q(-175). Sort 1, d, -3, u in decreasing order.\nAnswer: d, 1, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113453 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 j when four letters picked without replacement from aajavvavaajav.\nAnswer: 21\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 79*w**2 - 135*w + 2993. Is i(30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5, -30*t - 2*y = -29*t - 473. Suppose -f + t - 6107 = 2*u, 4*u + 12 = 0. What is f rounded to the nearest one hundred?\nAnswer: -5600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5735757309.\nAnswer: 3, 18401, 103903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 14*n**2\/11 - 6514698*n\/11 - 2792016\/11.\nAnswer: 2*(n - 465336)*(7*n + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -41*a + c = -36*a + 34, -2*c = a - 2 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = 45 + 3 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6342 is divided by 2102.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -3*z**3 + 6*z - 4. Let d(h) = -3*h**3 + 6*h - 3. Let l(v) = -4*d(v) + 3*j(v). Find the second derivative of l(t) wrt t.\nAnswer: 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -28. Let c = x - 15. Let l = -160 - -161. What is the nearest to l in 4, c, -5\/3?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -778 + 778.2. What is the third smallest value in 9, 3\/2, n, -0.2?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = -4*p + 5*u, -14 = -3*p + u. Sort -6, 17, p, -8.\nAnswer: -8, -6, p, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or 30?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-40)\/18)\/((-150)\/675).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*l - 8 = -13*l. Solve 0 = -l*d - t - 2 - 2, -2*t = -5*d - 28 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -2*n - 53 - 17, 5*k = 3*n + 115. Is -29 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -4, 23406, -4\/9, 2\/17 in ascending order.\nAnswer: -13, -4, -4\/9, 2\/17, 23406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15057 - -15503. Calculate the remainder when r is divided by 91.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/25, 2, -1.2 in increasing order.\nAnswer: -1.2, 2\/25, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of -3 - (-1 + 0) - -65?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 i when three letters picked without replacement from {d: 2, f: 8, i: 8}.\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 49, 0.04, 420, -0.3 in decreasing order.\nAnswer: 420, 49, 0.04, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 323463 to the power of 1\/2, to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 41*v**3 + 10*v**2 + 9*v + 172. Let n(g) = 33*g**3 + 9*g**2 + 8*g + 173. Give 4*a(k) - 5*n(k).\nAnswer: -k**3 - 5*k**2 - 4*k - 177","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -49 * -1.19117\nAnswer: 58.36733","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -111110?\nAnswer: -111101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3355 - -2900. Let s = 76 + -75. Which is smaller: s or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/((sqrt(160) - (1*sqrt(160) - sqrt(160)) - sqrt(160)) + sqrt(160) + sqrt(160) + sqrt(10)) + sqrt(20)\/(sqrt(16)\/(3*sqrt(4))))**2.\nAnswer: 3920\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 6951?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 3*z = -75, -20*t + 23*t = 5*z + 73. Let v be (2 - 0)\/(2\/52). What is the highest common divisor of t and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -341*p - 8. Let r(i) = 34103*i + 804. Determine -804*n(o) - 8*r(o).\nAnswer: 1340*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 7, w: 1, j: 1, q: 3}. What is prob of picking 1 j and 1 u?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -9*z. What is n(-3)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 280069257511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 4*t. Let i(q) = -323*q + 25. Let k(g) = 808*g - 60. Let o(d) = 12*i(d) + 5*k(d). Calculate f(o(n)).\nAnswer: 656*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10977 - -14?\nAnswer: 10991","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.02489 - -0.37511. Suppose 5*k - 9 = 2*k. What is the nearest to -1\/16 in h, k, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 24 - -19 - (1 + -1) - 11\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 706538.3mg in nanograms?\nAnswer: 706538300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, c: 1, j: 2, h: 1, e: 2, b: 2}. Give prob of picking 3 b and 1 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142 (base 16) to base 6.\nAnswer: -32242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3146*g - 4732*g - 7983*g - 6 + 4 + 763*g**3 wrt g.\nAnswer: 4578*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-10)\/15)\/(2\/36). Let n = -12 - z. Suppose -4*d + o + 21 = n, -3*o = -d - 3*d + 15. Solve v = d*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -687\/5 + 18539\/135. Is u smaller than -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z**3 + 5*z**2 - 3*z + 8. Let j(l) = -6*l**3 - 6*l**2 + 4*l - 11. Let d(h) = 4*i(h) + 3*j(h). Let o(b) = 2*b**3 + 3*b**2. Give 5*d(r) - 4*o(r).\nAnswer: 2*r**3 - 2*r**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 1362 divide 6323766?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 193114549 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135215, -270430, -405645?\nAnswer: -540860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9551701?\nAnswer: 29, 71, 4639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 - 37. Let i = m + -12. What is the nearest to -0.1 in -3, 3, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*r - 16*r - 7*r - 14 = 4*x, -80 = 2*r + 14*r + 20*r + 136 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 0.04 (b) 6 (c) 4 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 53, 367, 1161, 2675, 5149, 8823, 13937, 20731?\nAnswer: 29445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**3 + 2*p**2 + 2*p + 3. Let k be t(3). Let y = 3 - k. Suppose -4*a + a - 21 = -o, y*o = 5*a + 55. Solve 0 = 5*j - o for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 8 - 2. Suppose -4*b - 22 = -5*p, -4*p + 3*b + 11 + 6 = 0. Suppose -p = -2*q + 4. Solve 6 = -q*f + o*f - m, -m = -4*f - 19 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lidi when four letters picked without replacement from {a: 3, i: 3, x: 3, d: 2, l: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -14138 equal to -14137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*w + m + 10, -11 = 3*w - 2*m. Let i be 2 + (1 + -6)\/(w + 4). Let l(j) = -4*j**3 + 4*j**2 + j - 6. List the prime factors of l(i).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -3*j + 37. Let o be f(11). Solve 0*m - o*m = 5*x - 25, 3*m - 15 = -3*x for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 4 (b) 83 (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 53. Solve 2*l - 6 = -4*g, 11 = 5*g - a*l - 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488975269 to the power of 1\/2, to the nearest integer?\nAnswer: 22113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 43\/9 - 5 - 6*72\/243. Put 4, -38, k, 3 in descending order.\nAnswer: 4, 3, k, -38","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-2)\/(-4)*-1)\/(7\/70). Let q be (p\/(-3 + -2))\/((-1)\/1141). Calculate the common denominator of -25\/26 and (-16)\/72 + (q\/(-198))\/(-7).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 54 - 26. Let s be 204\/28 + (-8)\/d. Let l(o) = 4*o + 4. What are the prime factors of l(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 983760.19 to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 s when three letters picked without replacement from {s: 7, v: 4}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.17824197 - 0.2?\nAnswer: -0.02175803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 63 (b) 62 (c) 3\/5 (d) 2\/5 (e) -2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**3 - 12*w**2 + 12*w - 6. Let v = -1 + 26. What is the lowest common multiple of u(-7) and v?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x\/x**13)\/x*x*x)\/x**(-1\/16))**(1\/23)\/(x**(-2\/11)*x**(3\/7)*(x\/x**(-2\/3))**(1\/28)) assuming x is positive.\nAnswer: x**(-62765\/85008)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 500707.9154 rounded to the nearest 10000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 14*a - 54. Let g be k(5). Let l(n) = 3*n - 2. Suppose -4*x + w + w = 2, 3*x + 3 = 3*w. Let f(p) = 12*p + x - 6 - 2*p. Calculate g*l(q) - 5*f(q).\nAnswer: -2*q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 38 = 4*x, 3*z - x - 24 = -4*x. Suppose -z*n = -7*n + 2. Let r(i) = 5*i**2 - n*i**3 + 11*i - 12*i - 3*i**2. Determine r(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 30\/11, -16, -39 in descending order.\nAnswer: 30\/11, -0.2, -16, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8128218 millennia in months?\nAnswer: 9753.8616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-1 - (0 - 8)) - -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/8 and 32\/131?\nAnswer: 1048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h - 10. Let v be p(-8). What is the tens digit of (v - -8)*(-1 - -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((n**2 + 2*n**2 - 7*n**2)*(0*n**2 - 3*n**2 + 2*n**2) + n**3 - n**4 - n**3)*(1 - 2 + 6)*(-2*n - 3 + 3).\nAnswer: -30*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 833044?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -21422201 (base 5) in base 4?\nAnswer: -231121012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 2*i + 2*i + 384 = 0, -f = 5*i - 90. What is the greatest common divisor of f and 20?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13027 + 16856 - 12178)*(0*o + 0*o - 2*o**3)*(3 - 4 + 2).\nAnswer: 16698*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17225?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes after 8:27 PM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00071084 rounded to four dps?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2251 * -797\nAnswer: 1794047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7067665?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -11*c**2 - 2*c + 1569. Let r(a) = -332*a. Give r(v(y)).\nAnswer: 3652*y**2 + 664*y - 520908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3077000 rounded to the nearest 100000?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -156606.8543 rounded to the nearest ten?\nAnswer: -156610","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 6 + 70*w - 72*w - 1. Calculate d(6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q - q**6 + 6*q**2 - 4*q + q wrt q.\nAnswer: -120*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 32\/17 and 333.7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 63\/6*(-24)\/(-7). Suppose 0*a + 4*t - 24 = -5*a, 0 = -5*a - t + u. What is the remainder when 11 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**2 + 2*v + 5. Let r be j(4). Let u = 17 - 121\/7. Which is the closest to -1? (a) 1\/4 (b) r (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -541.2 rounded to the nearest ten?\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -80.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*u**3*y**4 + 97*u**3*y**2 + 3*u**3 + 2*u - 211*y**5 + 1 wrt y?\nAnswer: -1584*u**3*y - 12660*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/12)\/((-4)\/(-592)). Differentiate 29*f**2 - p*f**2 + 44 - 4*f + 3*f with respect to f.\nAnswer: -16*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 - -13. Let y(k) = k**2 - 4*k - 2. Let d be y(5). Let p(c) = -5*c**3 + 3*c**2 + 3*c - 3. Let q(r) = 9*r**3 - 5*r**2 - 5*r + 5. Give d*q(z) + t*p(z).\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 16 + 12. Let p(u) = 2*u**2 + 10*u + 9. Is p(v) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385724 a multiple of 699?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, n: 8}. What is prob of sequence dddn?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 (base 12) in base 14?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = 2*s - 26, -5*u - 29*s = -27*s + 16. Let l(z) = z**3 - 4*z - 3. Let y be l(-2). Sort u, 3, 5, y in decreasing order.\nAnswer: 5, 3, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88 + -15. Suppose 5*y - v = -2*a, 5*y = -0*y + 5*a + 45. Suppose -3*n - y + 52 = 0. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.15 - 11.55. Which is the second smallest value? (a) 10 (b) t (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 25 + 5. Let i(g) = 2*g**3 - 6*g**2 - 5*g. Let z be i(a). Is z\/(-6)*(-8)\/5 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 29 in 0.4, -2\/11, -2, -1.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-534 + 534 + 366*f)*(-f + 0*f + 3*f + (-5*f + 3*f + 4*f)*(-3 + 6 - 1) - 2*f + 0*f + f) as v*f + k + b*f**2 and give b.\nAnswer: 1830","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(77)*2*1 - (-2*sqrt(77)*-5 - sqrt(77)))\/(-2*(sqrt(132)*4)\/sqrt(12)*-6))**2.\nAnswer: 343\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 4*q + 2. Let s be (-1 + 1)*(1 - 0). Let f = 9 - s. Let v be (-7)\/(-14)*(f + -1). Determine b(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 24 = 3*a, -33*q = -36*q - 3*a + 132. What is the greatest common factor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 949854 - 511854. Round z to the nearest 10000.\nAnswer: 440000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(110)\/(-6*-1*sqrt(10)) + -2.\nAnswer: -2 + sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 506781 and 198.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.00761 + 4.22339. What is q rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 - 3*g + 10. Let t be a(-11). Is (6\/4)\/(t\/(-36868)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6872 + -633. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxpp when four letters picked without replacement from {x: 3, p: 9}?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(152) - sqrt(152))*1)\/(sqrt(128)*-2))**2 - (sqrt(114)*2*-2 + sqrt(114))\/(sqrt(30)\/sqrt(80)).\nAnswer: 19\/64 + 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3*v - 10 + 28, 5*r = 2*v + 23. Let x = -1 - -3. Let g be 1 - (x + 0) - -5. Solve 0 = g*l, r*b + 0 - 3 = 4*l for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 190 = -6*p - 5*v, -4*v = -5*p + 541. Does 21 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3+-17437\nAnswer: -17435.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqmmjmjmmmqmjqj. What is prob of sequence qm?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 6, q: 3, z: 2, x: 2, a: 2}. What is prob of picking 2 x?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10028776*g**3 + 10028789*g**3 - 11*g - 20057569*g**3.\nAnswer: -4*g**3 - 11*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 18130127 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 242*c**2 - 242*c**2 + 2*c**3.\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*u**3 + 10614*u**2 + 53145*u.\nAnswer: -3*u*(u - 3543)*(u + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**5 - j**4 + j**4 + (3*j**4 + 0*j**4 - 4*j**4)*(3*j - 5*j + 0*j) - 11*j**5 - 18*j**5 - 19*j**5.\nAnswer: -47*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3\/2 - 882*l**2 + 1767*l\/2.\nAnswer: -3*l*(l - 1)*(l + 589)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2 - 128710*q + 128712.\nAnswer: -2*(q - 1)*(q + 64356)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 425\/10 - 1\/(-2). Suppose -5*u = 57 + b. Let t be (u*11)\/((-2)\/(-9000)). What is t rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 73788088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -17622 - -17622. Let x = 0.15 + 0.04. Let i = -1.09 + x. What is the second biggest value in s, -5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2\/7 or 175416.6?\nAnswer: 175416.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*t - 17*t + 21*t + (-2*t + 1 - 1)*(0 - 5 + 0) in the form b + m*t and give m.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -62\nAnswer: -18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27416, -54824, -82226, -109622, -137012?\nAnswer: -164396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the third derivative of 23*x**2 + 0*x**3 - 1\/15*x**5 + 0*x - 1\/6*x**4 + 0. Factor z(k).\nAnswer: -4*k*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -642.5 - -645. What is the nearest to 5 in -2, 5, l?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110 + -78 + -26 - 75.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 + q**2 - q - 15. Let o be u(0). What are the prime factors of (-244)\/(-10) + (-9)\/o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 3*v + v)*(-1 + 1 + 2)*(-106 - 125 + 433).\nAnswer: 404*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*u**2 + u**2 + u**2 + (4*u + u + 6*u)*(-6*u + u + u).\nAnswer: -39*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 take away 6135.35?\nAnswer: -6135.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -19892*j - 2283. Is y(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60648990?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = -6*n + 106. Which is the third smallest value? (a) n (b) -2\/25 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 228122073.\nAnswer: 3, 23, 41, 26879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (16 - 8) + -9 + 15 + -102.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -1534*h**2 - 49*h - 16. Let m = 70 + -78. Let f be b(m). Round f to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 80.1 (c) 73 (d) 92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2165 + 2167. What is the third biggest value in o, -25\/8, 5?\nAnswer: -25\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 AM and 9:09 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/38)\/((-25)\/(-100)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*x**3 - 8*x**2 + 323*x**3 - 19*x**2 - 29*x**3.\nAnswer: 281*x**3 - 27*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -7*u. Suppose t - 10 = -u*t - 2*n, 0 = 5*t - 5*n - 35. What is the units digit of (-1)\/8*-6*t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (91\/14)\/(-13)*(-1 - 7). Solve -u*m + m = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/1)\/((-2)\/(-4) + -1). Let w = 0.6 - -2.4. Let n = 0 - w. Sort a, 0, n in increasing order.\nAnswer: a, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 - 7*z + 6. Let m be x(7). Suppose -2*s - d + 2 = 0, -3*s - m*d = -5*d - 5. What is the greatest common divisor of 15 and s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 343?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the third derivative of -t**6\/108 - t**5\/90 + t**4\/9 - 4*t**3\/27 - t**2. Factor r(p).\nAnswer: -2*(p - 1)*(p + 2)*(5*p - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6204 = 189*p - 267*p + 172*p for p.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 + -100?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 + -5.8. Let l = 252 + -255. Sort w, l, 0.3.\nAnswer: l, w, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(204) + (5*sqrt(204) - sqrt(204) - sqrt(204))*-2 + sqrt(204))\/sqrt(12) + 4*sqrt(136)\/sqrt(8)*-5)**2.\nAnswer: -144*sqrt(17) + 9801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 21*k**2 - 229*k - 1670. Give f(-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1563410136 a multiple of 5624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9813*i**2*n**2*x - 33*i**2*n*x - 2*i**2*x + 35*i*n**2*x + 573*i*n**2 + 32*n**2*x wrt i?\nAnswer: 19626*n**2*x - 66*n*x - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mpk when three letters picked without replacement from kpkmkmmmmkk?\nAnswer: 5\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1737 - -1750. Suppose 3*z = -0*z + 15. Suppose v = -3*i - 2*v + 150, z = -5*v. Calculate the remainder when i is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of u**6\/90 + u**5\/20 + u**4\/36 - u**3\/6 - u**2\/3 - 9*u - 4. Factor d(s).\nAnswer: (s - 1)*(s + 1)**2*(s + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 2*j, 2*n + 2 = -4*j - 0*j. Solve -4 = h - n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27305137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f - 9 + 2*f - f - 4*f. Let n be p(-15). Suppose -r - 4*w = -n - 20, 0 = 5*r + 5*w - 145. Is 5 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.39 - 0.09. Which is the third biggest value? (a) -0.05 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1311311003 (base 4) to base 5\nAnswer: -110421002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1200)\/49500*(-1 + -21).\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55143*v**3 - 55264*v**3 - 2*v**2 + 2*v**2 + v**2.\nAnswer: -121*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234 + 234. Sort l, -271, -3 in descending order.\nAnswer: l, -3, -271","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence di when two letters picked without replacement from {b: 6, i: 1, d: 1, s: 8}?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 12) to base 15\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52\/7 + -128\/21. Let c(w) be the first derivative of 20\/3*w**3 - 29\/6*w**4 + 4 - 13\/3*w**2 + y*w**5 + 4\/3*w. Solve c(s) = 0 for s.\nAnswer: 2\/5, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8691*b**3 + 17383*b**3 - 8693*b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 7468920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 170715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 30 - 4. What is the units digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 5*n**2 - 2 + 9*n**2. Let c(w) = w**2 - 7*w - 11. Let s be c(9). Suppose 0 = h + 4*l + 22, -s - 11 = 4*h + 2*l. Calculate a(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -4, -26582 in increasing order.\nAnswer: -26582, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -16*(956\/(-16) + 4) a multiple of 48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 18\/90 - (1 - (-49)\/(-5)). Solve 5*t - 56 = -a*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 160596 = -2*n + 6*n, 0 = 3*n - b - 120445. Suppose 0 = -243*o + 239*o + n. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8341.008km in millimeters?\nAnswer: 8341008000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 189 and 50484?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -7134 (base 8) in base 4?\nAnswer: -321130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49319 and 447.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 9*k - 40. Is c(10) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.8093 - -0.0607. Let y = s + 0.13. Which is the nearest to 0? (a) y (b) 4 (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-25)\/(-5)*(-4)\/(-1). Suppose 0 = -7*k + 3*k + w. Put 2, -2, k in increasing order.\nAnswer: -2, 2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k - 18*k + 0*k)*(2 - 2 + 4*k)*(0 + 5 + 1).\nAnswer: -624*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 9422.19 to the nearest 100.\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277936?\nAnswer: 2, 29, 599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.2, 2, 3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 14. Suppose -4*j + h = 2*h - 190, 4*j - 196 = -r*h. Suppose 0 = -2*q - j + 149. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 4*o = -36, -3*w + 4*o + 16 = -15. Calculate the greatest common divisor of w and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 16262 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vovovvvoovvooovv. Give prob of picking 2 v and 1 o.\nAnswer: 9\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 143 - 186 + 43 + 2068*j**2.\nAnswer: 2068*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**3*f*y + a**2*f*y + 10*a**2*y + 110*a**2 - a*f*y - 2*a*f + 2060*a - 3*y wrt a.\nAnswer: 12*a*f*y + 2*f*y + 20*y + 220","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*t - 27*t - 4 = 0, 2*t - 36000 = -4*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -30? (a) -2 (b) 3 (c) -6 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 57108 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16 + 4 - 11)*(11*p - 10 + 10)*(10 - 2 + 52) + p + p - p.\nAnswer: -15179*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.23 - -0.23. Let t = n + 0.5. Put -4, 0, t in ascending order.\nAnswer: -4, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*b**2 - b**2 - b**2)*(1 - 2 + 3) + (-4*b - 3*b + 13*b)*(-6 + 6 - 6*b) to r + g*b + s*b**2 and give s.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**3\/3 + 12*z**2 + 1840*z\/3 - 624.\nAnswer: -4*(z - 26)*(z - 1)*(z + 18)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -382*v - 368*v + 733*v. Let s(m) = -46*m. What is r(s(o))?\nAnswer: 782*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -4, -0.0497, 0, 0.02, -0.2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 501017.2 nanograms?\nAnswer: 0.5010172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 2.905164.\nAnswer: -0.5810328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -978*i**3 - 4*i**2 + 996*i**3 + i - 25 + 2*i - 3*i in the form q*i + l*i**2 + v + n*i**3 and give v.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 37, 63, 137, 283, 525, 887, 1393, 2067?\n\"Answer: 4*u**3 - 2*u + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/2950 and -89\/35400.\nAnswer: 35400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in one quarter of a millennium?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -3) + -5 - -2. Let i be (u\/(-4))\/(5\/40). Let c be 1*(12\/i - 7). Put -2, c, -5 in descending order.\nAnswer: -2, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 11 and 0.07?\nAnswer: 0.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 PM and 1:35 AM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2*p - 5)*(-5 - 4 + 0) to m + t*p and give t.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-48)\/128*1\/(-3).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4939218 and 33.\nAnswer: 54331398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10588, 10410, 10114, 9700, 9168, 8518?\n\"Answer: -59*v**2 - v + 10648","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate r**3 + 11*r**2 - 753*r - 1194390 wrt r.\nAnswer: 3*r**2 + 22*r - 753","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.5 (b) 173 (c) 0.4 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes before 12:14 PM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 + -5. Let l(o) = o**2 - 4*o + 1. Let r be l(w). Let u(q) be the second derivative of 5*q**3\/6 - q**2\/2 + 5*q. What is u(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7.2, 3, -0.4, -0.05, 2\/3?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -592 divided by 12?\nAnswer: -148\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-1)\/b)\/b)\/b)\/b*b**(-16))**(-8\/13) assuming b is positive.\nAnswer: b**(168\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 20972, 83883, 188734, 335525, 524256, 754927?\n\"Answer: 20970*j**2 + j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 679874?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26 or 8\/7?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 7:26 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = 31252*f**2 - 6*f + 4. Suppose -4*r - 45 = 163. Let k be (-112)\/r + (-6)\/39. Let v be d(k). What is v rounded to the nearest 10000?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18528, -36769, -54988, -73185, -91360?\nAnswer: -109513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10011000 (base 2) to base 3.\nAnswer: 12122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-2\/3))\/q*q**(2\/3)*(q*q**(-9))\/q*q*((((q**(-3\/7)*q*q)\/q)\/q)\/q)\/q assuming q is positive.\nAnswer: q**(-73\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10079 + -10078.035. Sort 4, -2\/7, z in decreasing order.\nAnswer: 4, z, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -9) + -6 + 1 + -8\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - s + 2 = 4*s, 4*n + 2*s = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**4 + 131740*g**3 - 395244*g**2 + 395252*g - 131752.\nAnswer: 4*(g - 1)**3*(g + 32938)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -2*l, 0 = 6*h - 11*h + 2*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 2\/3*i**4 - 4*i**2 - 4*i + i**5 - 10\/3*i**3 + 0. Find x such that s(x) = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.09 + -4.09. Let g be 2 - (-17)\/((-476)\/48). Which is the nearest to g? (a) -0.3 (b) k (c) 1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135*l = 82*l + 45050. List the prime factors of l.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 92223787.\nAnswer: 9161, 10067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -bce9 (base 16) to base 15.\nAnswer: -e4e1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 5*q - 1424 + 1315 = 0, -36 = 3*z - 2*q for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004993416 rounded to five dps?\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 154 = 116. Let j = 989\/11 - t. Which is the closest to 0? (a) j (b) -1\/5 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**3\/3 + 33*z**2\/2 + 236*z - 248. What is the least common multiple of o(-10) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 + 28*j**2 - 6*j - 5. Determine c(28).\nAnswer: -173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -15*n**3 + 2*n**2 - 113*n + 229. Calculate u(2).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 3 - 7 = 0. Which is the closest to 0.1? (a) -2\/9 (b) n (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 5 - 3)*(4 - 2 + 0)*(-3*v**2 + 2*v**2 + 4*v**2) - 102*v + 19*v**2 + 102*v.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((16\/(-3))\/2).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -31 - 41805*m + 2*m**3 - 3*m**3 + 2*m**2 + 41804*m - 3*m**4 as q*m**4 + l*m**3 + f + b*m + k*m**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 95432?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 757 = -613 for r.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 33 = 3*w, 2*t = -2*w + t - 27. Let r be -2*(-3)\/w*-6. Suppose -5*f - r*z + 173 = 0, -169 = -5*f - 2*z - 2*z. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55050 is divided by 77.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -1217*t + 97362. What is l(80)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the first derivative of 7*a**6\/120 - a**5\/60 - a**4\/24 + a**3\/3 - 2*a**2 + 2. Let d(b) be the second derivative of f(b). Is d(2) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 4*v + 496 = 0, 2*v = 3*u - 0*v - 298. Does 25 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 234 = 2*u, -4*v + 201 = 3*u + 23. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v - 75 + 35*v + 77 - 9*v - 7*v - 117*v**2.\nAnswer: -117*v**2 + 7*v + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a minute in milliseconds?\nAnswer: 36000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -135352 + 1?\nAnswer: -135351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.78 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 139.06 - 11.42. Round y to zero dps.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**5*a)\/a**(-1\/3))**(-16) assuming a is positive.\nAnswer: a**(-352\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2 = -6. Let j be 1 + 2 - (1 - s). Calculate the greatest common divisor of j and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (17*60\/(-1360))\/((-21)\/(-8)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/14*-7*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 17*g**2 - 12*g - 44. What is the remainder when n(-9) is divided by 235?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124613751.\nAnswer: 3, 313, 132709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h - 3. Let t(w) = -4*w + 4. Let a(f) = 5*t(f) + 7*u(f). Let d be a(4). Let b = d - 3. Let q(z) = z**3 - z**2 + z + 6. Give q(b).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose 2*h + 31 = b*h. Calculate the remainder when 185 is divided by h.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3*h**4)*(-27 - 369 + 390 + 465 + 444).\nAnswer: -2709*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 1327 = 4*o - 4903, 6224 = 4*o + 8*w. Calculate the highest common factor of o and 1482.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -235450 or -235444?\nAnswer: -235444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 363948.8 years in decades?\nAnswer: 36394.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -2\/5, -3\/2, 233\/6, -2, 21 in ascending order.\nAnswer: -2, -3\/2, -2\/5, 1\/2, 21, 233\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 3*w + 2*m, -4*m + 3 + 1 = -3*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, b: 8, j: 2, p: 2}. What is prob of picking 1 j and 1 p?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**3 - 3*r**3 + 5*r**3)*(-r - 4*r + 4*r) - 3*r**4 + 3*r**4 - 8*r**4 + (18 - 19 + 31)*(-2*r**4 - 2*r**4 - 3*r**4).\nAnswer: -217*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 90.5 - -20.5. Let n = 79.5 - c. Let t = 35 + n. What is t rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*g + 403*g**3 + 281*g**2 - g - 281*g**2.\nAnswer: 403*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-25)\/(-5) + -4)*1. Let v be 15\/5*i - -755. Suppose -3*n = -v - 1801. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -48*r - 1351. Calculate x(-26).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*a**2*d*y + 4*a**2*d + 11863837*a**2*y - 35129534*a*d + 2*a*y wrt y.\nAnswer: 3*a**2*d + 11863837*a**2 + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 171785 is divided by 944?\nAnswer: 921","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228271086 to the nearest integer?\nAnswer: 611","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a + 7 - 2 = 21*a - 13 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3030 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 1927*y - 2. Let k(j) = 2028*j - 1. Determine 4*k(p) - 5*q(p).\nAnswer: -1523*p + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-9)\/27*27\/9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 6*(-1*sqrt(304))**2 + (1*sqrt(133)*-2)\/(sqrt(70)\/(sqrt(10)*-2) + sqrt(7)).\nAnswer: -4*sqrt(19) + 1819","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -79727 divided by 318.\nAnswer: -79727\/318","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -663 = -3*y + 3*v, 2*y = 4*v + 202 + 248. Let h = -3173 - -3204. What is the greatest common factor of y and h?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, -3, -748 in decreasing order.\nAnswer: 2, -1, -3, -748","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 4*c**2 + 6*c - 7. Let z be o(5). Let n = -0.35 + 0.3. What is the second biggest value in n, 1\/2, z?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) be the first derivative of -h**4\/4 + 37*h**3\/3 - 54*h - 16. What is the first derivative of y(g) wrt g?\nAnswer: -3*g**2 + 74*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - (-3)\/(-6))*-2. Let l(z) = -3*z**2 + z**3 - 2*z**2 - 8*z - z**2 + 2*z - 5. Let c be l(x). Solve c*k + 2 = -0*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((2*-1)\/(10 + -18))\/(87\/(-116)).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y. Let u(f) = -f**2 + 4*f - 1. Let s(x) = 5*a(x) + u(x). Let v(j) = 65*j + 65*j - 167*j + 53*j - 5. Let l(o) = -4*s(o) - v(o). Factor l(p).\nAnswer: (2*p - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/9)\/(2\/9). Factor -4 + 4422*k**3 - 90*k**2 + 100*k - 36 - 4*k**4 - k**4 - 4387*k**h.\nAnswer: -5*(k - 2)**3*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 459 = -5*w, -3*t - 196 + 7 = -2*w. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*k - 17299*k**2 - 5*k + 17298*k**2 + 3*k.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 55389388, 55389390, 55389394, 55389400, 55389408?\nAnswer: 55389418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 10689, 10666, 10643, 10620, 10597, 10574?\n\"Answer: -23*u + 10712","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from qqwqqwqwqqwqwq.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w - 1. Let c be d(3). Suppose m + 1 + 1 = c*n, n = -2*m - 4. Suppose -4*x = -n*x - 76. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -4. Suppose 0*r + 3*r - v - 631 = 0, -409 = -2*r + c*v. Suppose 5*p = r + 173. What is the highest common factor of p and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o + 31. Let t = 5946.1 + -5946. Which is the nearest to t? (a) -2 (b) -2\/17 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**4 - 46680*i**3 - 272983964*i**2 - 7073933880*i - 45929349362.\nAnswer: -2*(i + 13)**2*(i + 11657)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107159 is divided by 36?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 2, -4, -2 in decreasing order.\nAnswer: 5, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a decade in months?\nAnswer: 1752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = n - 134 - 12, 3*c - 2*n = 104. Let i(s) = -64*s + 30*s + c*s. Let k(l) = 2*l - 2*l + 7*l**2. Determine k(i(v)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*z + 3*z - 3*z**3)*(4*z - z - z)*(2*z + 1 - 2 + 3).\nAnswer: -12*z**5 - 12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(152) - (-1*sqrt(152) - sqrt(152)))*4)\/(sqrt(392)*2 + sqrt(8)).\nAnswer: -1 + 4*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 48335972 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 7*r - 1. Determine y(7).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1220*c**3 + 14*c - 15*c - 15*c + 1204*c**3.\nAnswer: -16*c**3 - 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2*((t\/(t*t**(-20)*t))\/t*t)\/t*t*t*t*(t*t**(6\/13))\/(t**(-16)*t))**(-15\/2) assuming t is positive.\nAnswer: t**(-7695\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (98\/21)\/(-1)*3\/(-2). Which is bigger: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 403 - 493. Find the common denominator of (-455)\/i + (-2 - 14\/(-6)) and -121\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 367298 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -149, -291, -433, -575?\n\"Answer: -142*j - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-10480)\/42432 - (-8)\/52 and -7\/15.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 8. Let u be s(-2). Suppose -8*i + 3*n + 557 = -3*i, -4*n = u*i - 202. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 691920 and -2?\nAnswer: -1383840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-y + y + 2*y**2 + (-1 + 1 + 1)*(-3*y + 3*y + 2*y**2))*(0*y**2 - 3*y**2 + 5*y**2) as o*y**4 + z*y + l + d*y**3 + j*y**2 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = -144 - 120 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 35*l - 111*l + 76 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000008883944 to six decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -274.36 + 31138.36. Let u = i + -30868.9972. Let q = -5 - u. What is q rounded to 3 decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, 2\/17, 448, 46, 81?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence swh when three letters picked without replacement from sswsshjsj?\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2373320 is divided by 1669.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.5 + -82.5. Let g = -86.0047 - y. What is g rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 770 = 2*p + 4*v, -1490 = 3*p - 7*p + 2*v. Is 25 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/6 + (-1)\/6. Suppose -3*h + 0*h + 24 = o. Calculate the least common multiple of 9 and ((-30)\/h)\/(6\/(-16)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (22 - 26 - (3 - 13)) + 13?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 95643 and 15687.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1043 = 4*a - 5*n, -3*a - 9*n + 12*n = -783. Let l = -262 + a. Solve -9*y - 48 + 12 = l for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n**3\/17 - 144*n**2\/17 + 8184*n\/17 + 143264\/17 = 0 for n.\nAnswer: -22, 148\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) + (sqrt(44) - (-6*sqrt(1100) - sqrt(44))))\/sqrt(4).\nAnswer: 33*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + -8\/3. Suppose -3 - 5 = -j + 3*k, -32 = 5*j + 3*k. Which is the nearest to d? (a) -2\/3 (b) 2\/5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes after 12:29 AM?\nAnswer: 1:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the second derivative of -v + 0 + 0*v**4 + 0*v**3 + 0*v**5 + 1\/45*v**6 - 1\/63*v**7 + 0*v**2. Solve z(n) = 0 for n.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 18\/5, -4, 0.4, -5, -16?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20\/19 in 6, -2, 1\/8, 5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 318 is divided by 103.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 440494761337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -66 - -66.3. Which is the closest to f? (a) 0.3 (b) -0.2 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13 + (2 - 19))*2\/(-20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8767356.3 minutes in days?\nAnswer: 6088.441875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 726 and 1122.\nAnswer: 12342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/(-4752)*22*156*32\/72?\nAnswer: 52\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2213208988?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -902 * -1\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 + 11*p**2 + 8*p - 4. Let f be y(-10). Let q be (22\/(-8))\/((-4)\/f). Let k be (2 + -3)*-1*q. What is the highest common divisor of 77 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 12*(1 + 0\/1). Let d be 3*(-1)\/(a\/104). Let w = d + 24. What is the closest to -0.1 in 2, w, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -40 + 45. Suppose -l*g = -4*h - 1571, 327 = g + 2*h - 6*h. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 4096.186308665.\nAnswer: 4102.186308665","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6 - -6. Let p = -6 - x. Let n be 9\/6*(-8)\/p. Solve 3*r = n*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2.1, -2\/13, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33\/5 of a centimeter?\nAnswer: 66000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.79681l?\nAnswer: 1796.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 681, 4073, 13313, 31335, 61073, 105461?\n\"Answer: 489*t**3 - 10*t**2 - t + 203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.8 times -1.3?\nAnswer: 29.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 + -3.2. Let f = -0.51 + 0.47. What is the nearest to d in -1\/4, 2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 390 and 234?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6826541923.\nAnswer: 6826541923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fii when three letters picked without replacement from ffii?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 579601 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*f = -66 + 180. Let s(d) = 62*d - 197. Let z be s(f). What is the second smallest value in z, 1, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 14810\/31 + -103639\/217. Solve 2\/7*j + 3\/7*j**3 + 0 - 5\/7*j**2 + 1\/7*j**4 - u*j**5 = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -95 + 31. Let v = r - -43. What is the units digit of 14\/v - (-82)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/24*3)\/(-4*15\/2560)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -8317 <= -1141?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16 - -35. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10026.481 rounded to the nearest 100?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7\/197, 0, 1\/4, -1, 0.01, 15, 1\/41?\nAnswer: 15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of 97*g**8\/56 - 5*g**4\/6 - 2*g**3\/3 + 2*g + 10. What is the third derivative of y(p) wrt p?\nAnswer: 11640*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - b - 143852 = -41884. What are the prime factors of b?\nAnswer: 2, 6373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**4 - 4*w**3 - 2*w**2 - 2*w + 3. Let v = -7 + 10. Let i(l) = 3*l**4 + 11*l**3 + 5*l**2 + 5*l - 8. Let m(t) = v*i(t) + 8*x(t). Factor m(n).\nAnswer: n*(n - 1)*(n + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40.8 - -42. Let f = 7.4 - t. Let j = 6.1999865 - f. What is j rounded to six decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 10 = -5*f, -f = h - 2*h - 2. Which is the nearest to h? (a) 9\/5 (b) -1\/3 (c) 2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(1\/5)*u)\/u*u)\/(u\/u**(-10)*u))**(-41))**(-8) assuming u is positive.\nAnswer: u**(-17712\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/4)\/i*i)**(-4\/39)\/(i**(3\/7)\/i*i*i*(i\/(((((i\/(i**(3\/4)\/i))\/i)\/i)\/i)\/i)*i)\/i) assuming i is positive.\nAnswer: i**(-5627\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the first derivative of -258 - 360*y + 215\/2*y**4 - 16*y**5 + 1005\/2*y**2 + 5\/6*y**6 - 1000\/3*y**3. Solve r(b) = 0 for b.\nAnswer: 1, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**3 + 5*s**2 + 7*s - 3. Let h be l(6). Suppose h - 28 = -5*y. Calculate the common denominator of 143\/18 and y\/((-3)\/1*2).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) be the first derivative of -r**5\/40 - 7*r**4\/16 + 29*r**2\/2 + 2*r - 34. Let t(x) be the second derivative of c(x). Factor t(p).\nAnswer: -3*p*(p + 7)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -88599 or -88578?\nAnswer: -88599","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1030 divided by 515.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28626245?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 17224a3?\nAnswer: 17224a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1147 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 55, 131, 247, 391, 551?\n\"Answer: -2*w**3 + 32*w**2 - 6*w + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - 6) + 1 + -50 + 10 + -12 + 6?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.12 + -647936.11?\nAnswer: -647935.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - (1*1*sqrt(152) - sqrt(152)) - 1*1*sqrt(152))\/(4*((-2*sqrt(96) - sqrt(96))\/sqrt(12) - (sqrt(24)*2)\/sqrt(3))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.3378 at most 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 625278656?\nAnswer: 2, 9769979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 plus -1.034?\nAnswer: 1.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9, 14, 25, 42, 65, 94, 129?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -3*k. Let w(o) = -o**2 + 3. Let x(u) = 6 + 4 + 15*u**2 - 19*u**2. Let z(a) = -10*w(a) + 3*x(a). What is z(i(y))?\nAnswer: -18*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 12071709487 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3016 + 3271. What is the greatest common divisor of 165 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*h + 69 = 43 + 86. Let 1\/2*u**3 + 3\/2*u**4 + 0 + 1\/2*u**5 - u - 3\/2*u**h = 0. What is u?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/132*-58)\/(3\/54).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, o: 3, p: 1}. Give prob of picking 1 p and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - -20. Suppose 52 = 253*j - 240*j. What is the third biggest value in a, -4\/7, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 165403330?\nAnswer: 2, 5, 61, 263, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11486, -11707, -11928, -12149, -12370?\nAnswer: -12591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9484 + -18969\/2. Let f = 3.6 + -4. Which is the biggest value? (a) f (b) y (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -74*p**2 + 782*p + 781. Give t(-1).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**5\/20 - 3*o**4\/2 + 17*o**3\/6 + 10*o**2 + 35*o. What is the remainder when (44\/(-3))\/(5 + (-47)\/9) is divided by m(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 + d - 2. Let y be h(-2). Suppose -2*z = -y*z - 96. Let a be 1\/4 - (-6)\/z. Is a less than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**4 + 9*t**3 + 15*t**2 - 9*t - 12 = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*f**3 - 88*f**3 - f**2 + 23*f**3 + 11*f**3.\nAnswer: -33*f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + c = -7 - 18, 13 = 2*s - c. What is the closest to -3 in s, -2, -2\/3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56 = 5*w - 2*x, -5*x - 1596 + 1715 = -2*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - b**2 - b + b)*(-b - 1 + 0 + 3).\nAnswer: b**3 - 2*b**2 - 6*b + 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 - 15. Let c be 48\/(-168) + (-60)\/p. Solve -5*o + q = 15, -q + 3*q + 26 = -c*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 22?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-7) + (-75)\/(-42). Let h be 1*(-2 + (-118)\/2). Let z = h + 307\/5. Sort 1, l, z.\nAnswer: z, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3470 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*v + 9 = 1, 0 = -3*c - 2*v - 7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -294*y - 2795. Give k(-10).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -58. Let w be (z\/45)\/(3\/5). What is the nearest to w in 1\/5, 3, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d**2 - 3*d - 11. What is the tens digit of p(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -430*h + 28723080 + 12115079 = 12830539. List the prime factors of h.\nAnswer: 2, 29, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2*z = -20, -3*z - 30 = -h + z. Let n = 17 - 10. Calculate the greatest common factor of n and h.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - 6, h - 2*a = -6*a - 33. Let g be 1 + h\/9 - -2. Let k be (-6)\/(-80) - (-8)\/(-40). What is the second biggest value in g, 3, k?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 342287 and 3663.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 183 (c) 2\/3 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, 65 in ascending order.\nAnswer: -6, 1, 65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 5*r - 2*c + 7, -3*r = 4*c - 12. Suppose 2*n + 124 = 5*n - 5*z, r = 4*n - 4*z - 160. What are the prime factors of n?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*b - 16*b + 18*b.\nAnswer: 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -2*k**2 + 3*k + 1. Let w be d(-3). Which is smaller: w or -25?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -8 + -6 + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 35*c. Let o be n(-9). Let y = o - -3483\/11. Find the common denominator of 73\/8 and y.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 393 divided by -3.\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1.15403 or 2\/5?\nAnswer: -1.15403","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z - 8. Let v be d(-11). Solve 0 = v*m - 8*m + 15 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 1654 - 1662 = 2*t, -2*f = 5*t + 20 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -1\/911?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 + 70 + -9 + -38 + 20 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -1. Suppose -2*p + 121 = j, 5*j - 2*p - 331 = m*j. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2926843 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2334 + 3271. Suppose -3*d + f - 351 = a, -4*d = 3*a - 1738. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**2 - 12*p + 16. Let s be m(11). Let y(v) be the first derivative of -v**3\/3 + 3*v**2 - 2*v + 1. What is the units digit of y(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor w**2\/4 + 5229*w\/4 + 1307.\nAnswer: (w + 1)*(w + 5228)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 9*y**2 + y + 2. Let d(o) = 17*o**2 + 3*o + 5. Suppose 0 = -4*i - 11 + 19. Let s(x) = i*d(x) - 5*t(x). What is the second derivative of s(l) wrt l?\nAnswer: -22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9 + -6. Suppose 0 = -2*a + d*a - 14. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 690*c - 693*c + 567915 = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbjbttjtbjjbb. What is prob of picking 4 b?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 24 = -4*i, 2 = 4*i - 2. What is the tens digit of a\/6 + (-175)\/(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*d + 7*d - 117. Let a = d - 27. Is a < 35\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 263 - 518. Let h = f + 472. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 322 = 306. Suppose -p*s + 3*h + 72 = 0, 2*s - 3*h - 38 = -2*h. Does 21 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 + -24 + -73 - 61?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 4*h**4 - 6*h**3 - 2*h**2 + 15*h - 11. Let p(m) = 7*m**4 - 11*m**3 - 4*m**2 + 29*m - 21. Let r(v) = -3*p(v) + 5*x(v). Factor r(l).\nAnswer: -(l - 2)**2*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + -5)*2*(-5)\/25. Suppose u - r*u + 56 = 0. Calculate the greatest common factor of 8 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b + 100*z - 101*z + 16351, -3*b + z = -9817. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 10*h**2 + 5*h. Let b(w) be the third derivative of -29*w**5\/60 - 7*w**4\/12 + 91*w**2. Give -6*b(r) - 17*p(r).\nAnswer: 4*r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0108682867 rounded to 6 decimal places?\nAnswer: -0.010868","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 40 + (8 - 14 - 12).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(-2*f**5 - 3*f**2 + 3*f**2) - 2*f**5 - 2 + 28 - f - 415*f**4 + 416*f**4.\nAnswer: -6*f**5 + f**4 - f + 26","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-2)\/1)\/(0 - -1). Let c be (-1 + 0)*21\/(-7). Let o be (c\/d)\/((-3)\/8). What is the biggest value in 0.1, o, 1\/3?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*u**3 - 1632 + 3168 - 9*u**3 - 1591.\nAnswer: -6*u**3 - 55","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 437 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*c + 7*c**3 + 8*c)*(923 - 19*c - 923)*(1 - 1 - 1) + 2*c**4 + 2*c**4 + 2*c**4 in the form z*c**2 + j + s*c**3 + o*c + x*c**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u**2 - 42*u + 80. Let j be s(2). Suppose 12*p - 16 = j*p. Let a(i) = 5*i - 7. What is a(p)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-12)\/(-24) + 33\/(-6)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 516.2 - 515.529325. Let k = -0.67 + u. What is k rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 29*r**2 - 9*r - 3. Is y(-20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2563?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 13 = -3*x - 25, -20 = 4*y. Let h be ((-4)\/(-82))\/(10970\/89954). Which is the closest to h? (a) 0 (b) -1 (c) 0.4 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 3*j. Suppose j*q + 6 = -3*q, 4*v = 3*q + 66. Let m = 1193 - 1168. What is the remainder when m is divided by v?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(13)*2*3 - sqrt(13) - (sqrt(13) - (sqrt(1872) + 2)**2)).\nAnswer: 156*sqrt(13) + 5628","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 169854684 to the power of 1\/3, to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 947 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7293225 to the nearest integer?\nAnswer: 2701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -0.1286*0.5\nAnswer: -0.0643","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(240)\/(sqrt(18)\/(sqrt(3)*1 - sqrt(3) - sqrt(3)))*6)\/((-1*2*sqrt(80))\/(sqrt(1000) - (sqrt(1000)*-1 + sqrt(1000)))).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10.7, -0.2, -2, -58, -35 in decreasing order.\nAnswer: -0.2, -2, -10.7, -35, -58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lu when two letters picked without replacement from {u: 1, d: 2, l: 1, w: 1, k: 1, b: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1053 + 1051 + 12\/5)\/(6\/250)?\nAnswer: 50\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-12)*(-36)\/(-21)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes before 6:16 PM?\nAnswer: 3:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -88, -80, -74, -70, -68, -68, -70?\n\"Answer: -q**2 + 11*q - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2126 and 0.045.\nAnswer: -95.67","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(272))*-5.\nAnswer: -20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -923*m**3 + 27*m**2 - 9*m + 1036. Let x(v) = 461*v**3 - 12*v**2 + 4*v - 519. Let s(o) = -4*u(o) - 9*x(o). What is the first derivative of s(p) wrt p?\nAnswer: -1371*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**2*j**3 + 4*d**2*j - 2*d*j - j**4 + 10*j wrt j.\nAnswer: 36*d**2*j - 12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*q - 513*q + 2102*q.\nAnswer: 1971*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -546 + -5?\nAnswer: -554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 + 16*q + 89. Let u(c) = -c**3 - 6*c**2 - 3*c + 7. What is the remainder when u(-6) is divided by t(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = -f - 5*f. Let v = -42 - f. Calculate the greatest common factor of 1 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 5*a**2 - a + 3. Let k be 2\/(-4)*(-5 - 1) + -1. Suppose -j + k = u - 1, -4*u + 6 = 2*j. Let x be ((-4)\/(-6) + u)*(-27)\/6. Calculate t(x).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65086*-15\nAnswer: 976290","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 12*o**3 - 7667*o**2 - 636*o - 2073. Determine c(639).\nAnswer: -156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -607274*f + 607274*f - 2*f**2.\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s\/(s*s**(-7))))\/s*s\/(s\/(s*s**17\/s)))\/(s**(7\/5)*s**16*s*s) assuming s is positive.\nAnswer: s**(-42\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414906 is divided by 138139?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 + s**4\/12 - s**3\/6 + s**2\/2 + 1653*s - 6. Let y be 1\/1*2 - 0. What is g(y)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2 = 2. Let c be 14*1\/2 + q. Let z = -11 + c. What is the third smallest value in -0.4, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**4 - u**4 + u**4 + 3*u**4 - u**4 - u**4 + 0*u**3 + u**4 + 0*u**3 + (-u - 3*u + 2*u)*(-2 + 2 + 2*u**3).\nAnswer: -4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -331 (base 5) in base 9?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1349, 2049, 2751, 3455, 4161, 4869?\n\"Answer: k**2 + 697*k + 651","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3211)\/(-19)*(-32)\/208.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that c**5\/10 - 77*c**4\/10 + 437*c**3\/10 - 787*c**2\/10 + 213*c\/5 = 0.\nAnswer: 0, 1, 2, 3, 71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 8690 - -154?\nAnswer: 8844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - 19*s**2 - 42*s + 75. Let m be h(21). Suppose -76*q = -m*q - 4607. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -113*c**2 + 1. Let x be a(-1). Let v be (x\/(-12))\/(2\/(-6)). Let m be v\/(-5) + (-12)\/(-30). Solve 0 = 3*q + m, 0 = 5*p - 3*p + 3*q - 2 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/7 - 856*v\/7 - 8360\/7.\nAnswer: -2*(v + 10)*(v + 418)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3265347 divided by 8\nAnswer: -3265347\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 47451350*s**4 + 4555669*s**2 wrt s?\nAnswer: 1138832400*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 4\/7, 0.4, 11\/3, -1.01, -2?\nAnswer: -1.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 999872*a**3 + 70*a**2 + 3495*a wrt a.\nAnswer: 5999232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -141\/93100 and 31\/3920?\nAnswer: 372400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 4*f + 1400. Let m(i) = 11*i + 4205. Determine -8*k(s) + 3*m(s).\nAnswer: s + 1415","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41364090 is divided by 319.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-17)\/(-34))\/(11\/198)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 * 6.8\nAnswer: -13.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times -0.22?\nAnswer: -4.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c - 17. Suppose 2*p = -j - 7, -3*j = -0*p + 5*p + 24. Give w(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 1\/20 of a millisecond?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*g**2 + 7*g**2 - 4*g**2 + 11*g**2 to v*g**2 + k*g + w and give v.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -3*s. Let f(r) = -r + 5*r - 7*r. Determine a(f(i)).\nAnswer: 9*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w + 2499 - 2489 - 10*w)*(2 + 3 + 0)*(1 + 4 - 2).\nAnswer: -120*w + 150","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63444.\nAnswer: 2, 3, 17, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2662) - 5*(sqrt(2662)*1 - sqrt(2662))) + sqrt(2662))\/(sqrt(12)\/((sqrt(18)*2)\/sqrt(3))).\nAnswer: 44*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.16, 0, 73, -2, 2\/7 in ascending order.\nAnswer: -2, 0, 2\/7, 11.16, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 232 and 856.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1364 and 4?\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -k**4\/4 - k**3\/2 - 3*k**2. What is the first derivative of j(c) wrt c?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -526, -2112, -4754, -8452?\n\"Answer: -528*h**2 - 2*h + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 17*k**3 - 19*k + 9. Let u(f) = -2*f - 4 + 6*f - 8*f**3 - 2*f + 7*f. Let z(x) = 9*u(x) + 4*w(x). What is the second derivative of z(g) wrt g?\nAnswer: -24*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((420\/24)\/(-35))\/((-21)\/(-3))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17734351 - 1?\nAnswer: 17734350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/15197418 and 31\/1098.\nAnswer: 15197418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145528 minus -307?\nAnswer: 307.145528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.598 - 0.9084\nAnswer: -1.5064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -459 = 104*b - 53*b for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 24\/14*539\/(-154)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + 3 + (-6)\/(-1). Suppose g + n - 290 = 4*g, -296 = 3*g - 4*n. Let c be g\/(-10)*820\/123. Calculate the highest common factor of c and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 20\/110 - (84\/(-22) + -2). Suppose 0 = -i*f + 152 + 124. Let k = 629 - 447. Calculate the remainder when k is divided by f.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 33903 - 170168\/5. Let w = 131 + t. Let u = -1566 - -1563. Which is the smallest value? (a) w (b) u (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 5*u - 1. Let g(k) be the first derivative of -k**2\/2 + 19. Give g(r(t)).\nAnswer: -5*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 7. Let t = 9.05 - 9.176. Is h != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 1751087.1 months?\nAnswer: 1459.23925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*m = -9*m - 2304. Suppose 3*s + 138 = -0*s. Let q = -28 - s. Calculate the greatest common factor of q and m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 751055185 times -0.2\nAnswer: -150211037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9 + -6. What is the nearest to 0 in 2, 1, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81043174.\nAnswer: 2, 739, 54833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 1, -49 in decreasing order.\nAnswer: 1, -15, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/9, 0.503248, -3?\nAnswer: 0.503248","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 935073?\nAnswer: 3, 107, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39726135?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1289? (a) -3 (b) 0.2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k = -3955*a + 3953*a - 8, -6*k - a - 31 = 0 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 178569145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/17 and 0.3209 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3337, 4322, 5307, 6292?\nAnswer: 7277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -100 + 155. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15032 - -32010. What are the prime factors of o?\nAnswer: 2, 13, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.01*238643.\nAnswer: -2386.43","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 363?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 34594559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 727*a - 3 = 730*a + 21 + 17, 5*z - 2*a = 59 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 179338?\nAnswer: 2, 89669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 45*r**3 - 2*r**2 + 18*r + 24. Let d(w) = -w**2 - 3*w - 4. What is -6*d(i) - h(i)?\nAnswer: -45*i**3 + 8*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (149*(-2)\/60)\/((708\/(-5))\/6) and 71\/36?\nAnswer: 2124","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714.3226 milliseconds in nanoseconds?\nAnswer: 714322600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*p - 16 + 6, -3*f = -4*p - 7 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*c - p + 6*p - 25 = -0*c - 2*c, 45 = -2*c + 9*p for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most 35723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3021 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 486 - 448. Let q be (-97)\/388*(1 - -1 - g). Calculate the highest common factor of q and 468.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o = -3*p - 3, -2*p - 5*o + 6*o + 1 = 0. Let l = 17 + 3. What is the least common multiple of l and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 13*j + 9. Let q be 1 + (j - 4\/(-2)). Suppose 0 = -q*o + 3*o + 3. Solve -h - o = -u + 1, -4 = -2*h for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000007605379 rounded to 7 decimal places?\nAnswer: -0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(-2*sqrt(176) - sqrt(176))*-3 - ((4 + -2 + sqrt(162))*1)**2.\nAnswer: -166 - 143*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 3, -10, -39, -90, -169, -282, -435?\nAnswer: -634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7831 = 4*p + 5*s - 33303, 19103 = 3*p + 4*s. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -13 in ascending order.\nAnswer: -13, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 3*f**3 + 12*f**2 - 9. Determine o(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 184681?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of -2*w**2 + 0*w + 1\/24*w**4 + 0 - 8\/3*w**3. Suppose s + 3*z = -0*s - 12, -3*z = -3*s + 12. What is x(s)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jajddi. What is prob of picking 1 j and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*m**2 + 4*m**3 - 6*m**2 - m**3.\nAnswer: 3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add together 1682253.5627 and 2.\nAnswer: 1682255.5627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1 + 1. Suppose f*b - 2*b + 3*y = 15, b = 2*y - 10. Suppose 0 = -79*x - 35*x - 62*x - 352. Sort b, x, -64 in decreasing order.\nAnswer: b, x, -64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3256 by -13.\nAnswer: -3256\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14297922 to the power of 1\/2, to the nearest integer?\nAnswer: 3781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -315 and 16570.\nAnswer: -5219550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + 3 = -n - 1, -2*n + 3*q + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 t when four letters picked without replacement from {t: 5, k: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 146.0636 + -146. Let c = 0.063602012 - o. Round c to seven decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 0, -14\/3, 11, 0.013?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13364, -13349, -13326, -13289, -13232, -13149, -13034?\n\"Answer: n**3 - 2*n**2 + 14*n - 13377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 546 and 43758?\nAnswer: 306306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839*c**3 + 71*c**3 - 28*c**3.\nAnswer: -796*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 3*l - 6 = -3*y, -4*y - 2*l = 4. Is y at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39791 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*u = 6*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -10*y**2 - 1. What is h(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z - 11. Let p(m) = 3*m + 12. Let a(h) = 5*h**3 + 4*h**2 - 12*h + 8. Let i be a(1). What is i*k(v) + 4*p(v)?\nAnswer: 2*v - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -84 - -94. Let k = -3259\/6 + 544. Sort o, k, 0.2 in increasing order.\nAnswer: 0.2, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-3*(-5)\/(-15))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 9*k. Calculate the remainder when a(-8) is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 427\/2186957 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-8) - (-145)\/(-2). Let r = -50 - t. Is r a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -14*j + 4. Let m be s(-5). Suppose -7*v + 2*l = -2*v - 354, -2*l = -v + m. Is v a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a08 + -42?\nAnswer: 3976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/11, 5, 1, -2\/17?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -11*l + 503. Let n = 20920 - 20875. What is f(n)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5008260 divided by -12\nAnswer: -417355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/13)\/(i*i**(-14)\/i))\/(i\/i**(3\/8)*i)**(-2\/49) assuming i is positive.\nAnswer: i**(36233\/2548)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -120 + 422. Let b = 304 - l. Solve -2*x = -4*v - 12, 2*v + 5 - 3 = b*x for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.48888162395 - 0.119.\nAnswer: 1.36988162395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -78d84b7 + 4?\nAnswer: -78d84b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 8*l**2 - 16*l - 8. Suppose -4*f + 1 = 29. What is the tens digit of w(f)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1\/3, -2, 4663, 0.1, -4?\nAnswer: 4663","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 + o - 1. Let v be p(-10). Let w(x) = v + x - 189. Let a(u) = u**2. Give a(w(b)).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59066 divided by 3.\nAnswer: 59066\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74283581?\nAnswer: 53, 101, 13877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-2) - -3)\/((-3)\/(-522)). Let d = -1309\/5 + f. What is the biggest value in 3, -6, d?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13 + 63123?\nAnswer: 63110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 9*w**2 - 11*w - 5. Suppose 90*j - 445 - 455 = 0. Determine b(j).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**0*u)**(6\/31)\/(u**(3\/7)\/((u\/(u*u\/((u\/(u\/u**(-1\/2)*u))\/u)))\/u*u)) assuming u is positive.\nAnswer: u**(-1621\/434)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 + 7*f - 119. Let z be v(8). Let y = 0.764 - 0.774. What is the nearest to z in 1\/2, 3\/4, -0.08, y?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 12950 = 30*o. Let c = o + -251. Is 7 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8354456, -8354484, -8354528, -8354588, -8354664?\nAnswer: -8354756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 5*z - 8*z = -30, 4*z + 60 = 4*x. Calculate the remainder when 193 is divided by x.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 11*u**2 - 2. Let o be m(2). Suppose 4*n = -5*h - 87, o = 2*n - 4*n - 4*h. Let p = 137\/6 + n. Sort 1\/6, p, 1 in increasing order.\nAnswer: p, 1\/6, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9772\/3 or 3257?\nAnswer: 3257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange l**4 + 14*l**2 + 159*l**3 - 2*l**2 - 2 - 13*l**2 to q + y*l + r*l**4 + u*l**2 + m*l**3 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -98, -111, -124?\nAnswer: -137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -2967 - -30677?\nAnswer: 27710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**0*((w**1*w)\/w)\/w)\/(w**(-5)\/(w*w**0\/w))*(w*w**4*w*w**(-6))\/(w**(-1))**47 assuming w is positive.\nAnswer: w**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 77546 or 77545?\nAnswer: 77546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -286 - 1069?\nAnswer: -1300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 + -120 + -23 + 6 - -37?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-18)\/15)\/(14\/(-35)). Suppose -2*b + 0*b = -r - 15, -o*r - 66 = b. Let s be (0 + 2)\/((r\/(-24))\/(-7)). Is -13 at most as big as s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*p + 2*p, 3*p = -2*v + 149. 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 3? (a) -0.1 (b) -0.165 (c) -1 (d) 2\/3 (e) 34\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-18)\/(-6))\/54)\/(23\/(-46))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/6*(4 + -4 + -3). Find l such that -20*l**3 + 21*l**3 + 4*l**2 - 2*l**j - 3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 29*x - 7. Let a(v) = -31*v + 6. Let s(i) = 7*a(i) + 6*d(i). Let b(n) = -2*n. Give s(b(u)).\nAnswer: 86*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -390151, -390142, -390129, -390112, -390091, -390066?\nAnswer: -390037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 18, -s + 117 = 3*l - 6*s. Calculate the remainder when 833 is divided by l.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 2035121?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:12 PM and 9:11 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a\/((((a**(2\/7)*a)\/a)\/a*a)\/a)))**(-6)*(a*a**(2\/11))\/a**5)\/(a\/(a**1\/a)*a*a\/a**(-1\/6))**(-2\/33) assuming a is positive.\nAnswer: a**(457\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooc when three letters picked without replacement from {v: 4, o: 3, c: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-108)\/270 - (-5)\/((-50)\/316)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sls when three letters picked without replacement from {w: 6, s: 7, l: 2}.\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 2*c. Suppose 4*k - 2721 = -2817. What is the remainder when ((-21)\/(-9))\/((-4)\/(-12)) - k is divided by u(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.07 - 0.47. Which is the biggest value? (a) -3\/8 (b) -5 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t - 14. Give f(8).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -191*d**4 - d**3 + 91*d + 32135.\nAnswer: -764*d**3 - 3*d**2 + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7623.4 - -7623. Put -0.7, 6, 5\/2, x in descending order.\nAnswer: 6, 5\/2, x, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, v: 1, z: 1}. What is prob of picking 1 z and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 449 and 50855087.\nAnswer: 449","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 + 14*z - 8. Let s be y(13). Suppose -s*u = u - 906. Suppose k = -4*k + 5, 2*d + 5*k - u = 0. List the prime factors of d.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*g - m + 9, -17 = 2*g + 5*m. Differentiate -3*u**g + 70*u**4 - 1 + 32*u**4 + 6 wrt u.\nAnswer: 396*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-42)\/(-9))\/(935\/465 - 2)?\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/7 + 101028*q\/7.\nAnswer: 3*q*(q + 33676)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j. Let l(v) = 3165*v + 502. Calculate n(l(f)).\nAnswer: 3165*f + 502","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.5, -2\/9, -20953, -0.2, 72?\nAnswer: -20953","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-147)\/28)\/(15\/20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 496568118 to the nearest integer?\nAnswer: 22284","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 1 + 2043?\nAnswer: 2044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*(5\/2 + 0). Let h(c) = -c**2 + 5*c + 10. Calculate the lowest common multiple of (22\/6 - 1)*3 and h(o).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4274, -4277, -4282, -4289?\nAnswer: -4298","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagzzahzagzgzazgza. Give prob of sequence az.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/5*(6 + 195\/30). Solve 5*s + 10 = p*z, 4*s + s + 40 = -5*z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -1\/2*r**2 + 0*r + 3. Let w(f) = -6*f**2. Determine m(w(o)).\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*(m\/((m**(-1\/4)*m)\/m*m))\/m)**(-16)*((m**(-2\/5)*m)\/m)\/m**0 assuming m is positive.\nAnswer: m**(-102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386\/(-10) + (-8 + 452\/60)\/(6\/18).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -116 divided by 2\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -42874 - -515011\/12. Let s = q + -153\/4. Calculate the common denominator of -121\/24 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -5\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u = -12. Suppose b = 2*l - 13, 0 = -u*l + 3*l - 5*b - 13. What is x in -2\/7*x**l + 2\/7 + 4\/7*x**3 + 0*x**2 - 4\/7*x = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2136 times -0.48?\nAnswer: -1025.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -150*w**5 - 1518*w**5 - 1176*w**5 + (2*w**5 + w**5 - 2*w**5)*(2 + 2 - 3).\nAnswer: -2843*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6210, 6222, 6248, 6294, 6366?\nAnswer: 6470","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -4*0.139\nAnswer: -0.556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from mwbbb?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2, 3581, 0.2, 2\/7, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*k - 995 = 2*k + 243*k. Put 0.9, 18, k in decreasing order.\nAnswer: 18, 0.9, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 78026?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirty-one fifths of a kilometer?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -53, -3\/4, -3\/2?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 24 + 21. What is the closest to 1\/3 in 0.02, l, 2?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c = -9 + 3. Suppose c = -6*a + 13. Suppose 5*t - 32 = -a*n, n = -5*t + t + 16. Calculate the remainder when 30 is divided by n.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*0.052856.\nAnswer: 0.26428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26.18 - -0.82. Let k = 316706 - 316732.99986. Let v = k + c. Round v to five decimal places.\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 0.3, 162.3, -1\/31, 7?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 25\/2 of a microsecond?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -11 by -78.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -54*c**4 - 14*c**3 + 18*c - 14. Let o(b) = -18*b**4 - 5*b**3 + 6*b - 5. Let v(k) = 14*o(k) - 5*y(k). What is the second derivative of v(w) wrt w?\nAnswer: 216*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -z**6\/540 + z**5\/180 + z**3\/2 - 3*z**2. Let t(h) be the first derivative of y(h). Factor t(w).\nAnswer: -2*w*(w - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -344 + -113232120?\nAnswer: -113233014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7703 + 7659.69. Let d = 43 + j. Let s = -0.3 - d. Round s to 3 dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 740.72 and -15.7.\nAnswer: 725.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*d - 2*d + 2*t, 4*d = 2*t - 16. Let w be (d\/18)\/(2\/(-3)). What is the second biggest value in 0.4, 4, w?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13180\/13 - -172381194\/170027. Let k = 1765673\/52316 + d. Suppose -125\/4*y**3 + 225\/4*y**2 - k*y + 27\/4 = 0. What is y?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 56*k**2\/5 - 1012*k\/5 + 72\/5.\nAnswer: 4*(k - 18)*(14*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-192)\/342 - 28\/(-42). Let a = 32.5 + -55. Let o = -22 - a. Put -1, w, o in decreasing order.\nAnswer: o, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*k + 209 = 170 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 48*k**3 + 6*k.\nAnswer: 48*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**3 + 1265*u**2 + 399423*u - 400689 = 0.\nAnswer: -633, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o + 2*m - 6 = 0, o + 12 = 5*o - 2*m. Let u(b) = -b**3 + 15*b**2 + b - 12. Calculate the least common multiple of o and u(15).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27.4 - 28. Let o = -0.7 - -0.8. Put d, o, -3, -1\/5 in ascending order.\nAnswer: -3, d, -1\/5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * -658\nAnswer: 65.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2286, 2270, 2254, 2238?\nAnswer: 2222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + b + 4 = 0, -b = -208*v + 210*v + 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -9*o**2 - 1246*o - 16. Let t(a) = -10*a**2 - 1246*a - 20. Give 4*t(h) - 5*y(h).\nAnswer: 5*h**2 + 1246*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110010101010 (base 2) in base 13?\nAnswer: -5287","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 59001, 59988, 60975?\n\"Answer: 987*g + 58014","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221111 + 11?\nAnswer: 1221122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -2. Let p(u) = -u**3 + 4*u**2 + 17*u. Let h be p(5). What is the tens digit of ((-3)\/6)\/(q\/h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 64713, 64711, 64709?\nAnswer: 64707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 0*b**2 + 4*b**2 - b**3 - 3*b + 3*b**2. Let c = 1017 - 1001. Calculate the smallest common multiple of j(6) and c.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 181 is divided by 20.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 3099975 - 3099975.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10 and 43559359.\nAnswer: 43559349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 + -0.04. Let z = -0.87 + o. Is z smaller than -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 5, -4, 13\/229, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -186932 + 187002.4324. Let d = 0.0324 - l. What is d rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of -s**4\/4 - 6*s. Let z(c) = c**2 - 6*c + 3. Let k be z(6). Let n(y) = 2*y - y - k*y. Calculate n(b(v)).\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(91)*-2*-4)\/((sqrt(2688)*5 + sqrt(2688))\/sqrt(6)).\nAnswer: 5*sqrt(13)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3090547.\nAnswer: 331, 9337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -1. Let m = a - -3. Let h(n) = 3*n + 7. Let o(g) = -g - 3. Suppose 4*q - 9 = 31. What is m*h(w) + q*o(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*x**3 + 3 - 1081*x**2 - 36*x**3 - 6 + 1115*x**2 to m*x + h + u*x**3 + q*x**2 and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, 131.978, 21?\nAnswer: 131.978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 831424812 divided by -277141604\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -73*t + 620. Let h be a(8). Which is smaller: 1.67 or h?\nAnswer: 1.67","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, v: 1, n: 1, r: 1, x: 2, c: 1}. What is prob of picking 1 c, 1 r, and 1 x?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1 + -1)*-38. Suppose 5*t - 3*x - 74 = 0, 0 = t + t + 2*x - 36. Suppose i - m = t. Calculate the greatest common divisor of 36 and i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 12:14 PM?\nAnswer: 7:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:03 AM and 8:06 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-70)\/(-21))\/(-2)*-3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4223025 divided by -18769?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000265901412 to 7 decimal places.\nAnswer: -0.0000027","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i**3 - 8*i**2 + i + 8. Let l be s(-8). Suppose l*x + 18 = -2*x. Let b be (-120)\/4*3\/x. Solve 9 = -4*y + 3*d - b, 5*d - 29 = 4*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s - 3. Suppose -3*q - 9 = j, -5*j = q - 6*q + 5. Let h be o(q). Which is the smallest value? (a) -0.4 (b) 6\/11 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2920166.\nAnswer: 2, 691, 2113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s**(-1)*s**(3\/11))\/((s\/s**(-2))\/((s*s**7)\/s)) assuming s is positive.\nAnswer: s**(58\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u - 3*u + 0*u)*(-3*u**3 - 4 + 4).\nAnswer: 12*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*m - 26 - 26. What is the highest common divisor of m and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 138, 136, 134, 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 685\/21 (b) -1428 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51.83 times -8.231\nAnswer: 426.61273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/20 + 7*f**4\/6 + 9*f**2 - 790*f. Determine d(-14).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the third derivative of o**6\/60 - 52*o**5\/15 - 31*o**2 + 5. Determine n, given that l(n) = 0.\nAnswer: 0, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6412263 and 582933?\nAnswer: 6412263","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ozzwonwwozzcw. What is prob of sequence oz?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 29 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = m - 4*m. Suppose -m = -4*x + 76. Calculate the highest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -c**3 - 546899*c**6 + 546892*c**6 + c**2 + 213*c**5 + c**3 + 30*c wrt c.\nAnswer: -840*c**3 + 12780*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/284 and 43\/142.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 2 + (-2 + 0 + 4)*(-11 - 24 - 13))*(1 + s - 1)*(0*s + 4*s - s)*(-3 - 4 - 2).\nAnswer: 2538*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l - 2*c - 397, -710*c + 362 = 3*l - 705*c. Sort -3, 0, l, 1, 2.\nAnswer: -3, 0, 1, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -74993\/12 + 6240. Let k = -838 - -3423\/4. Find the common denominator of k and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 200727.\nAnswer: 3, 22303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 14 - 16 + 7 + 0*a**2 + 4*a**2 + 5*a. Let s(q) = -3 + 0 - 6*q + 3*q - 2*q**2. Determine -3*b(t) - 5*s(t).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 2. Let n be v(0). Suppose -n*w - 4 = -z + 1, -25 = w + 4*z. Suppose 0*m - 15 = 5*m. Which is the closest to 0? (a) m (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -24671.9 and 1004765.9.\nAnswer: 980094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -0.186 * 127.9222\nAnswer: -23.7935292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88941461, 88941459, 88941457, 88941455, 88941453?\nAnswer: 88941451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let j(t) = 8*t**2 + 3*t**2 - 15*t**2 + 5*t**2. Give j(a(d)).\nAnswer: 9*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - 3 - (-14 + 4)) + -27.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 - 3*t**4 + 0*t + 12 + 0*t**4 + t to the form x + d*t**2 + m*t + j*t**3 + o*t**4 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add together -7.2 and 0.007.\nAnswer: -7.193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + n + 41. Let g(t) = -3*t - 35*t**2 + 2*t - 3*t + 34*t**2. Let a be g(-4). Is v(a) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j, 1 f, and 1 c when three letters picked without replacement from jjfnjjjcnjgng.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -106 + -12. Let a = y - -117.9. What is the nearest to -10 in a, 4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of k**4*x - 476*k**4 - 2*k**3 + k**2*x + 245*k**2 wrt k.\nAnswer: 24*k*x - 11424*k - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 21 = -3*b, 9 + 11 = 2*b + 5*f. Suppose 3*j - 3 = 0, b*n + 2*j - 780 = 7*j. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36323 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2705943*l**6 + 2*l**2 + 286*l + 57?\nAnswer: 324713160*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -13*x**2 - 6*x. Let d(u) = u**2 - u. Determine 6*d(t) - v(t).\nAnswer: 19*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 2*k + 4. Suppose 0 = 2*z + 9 - 3. Let d(x) = x**3 + 4*x**2 + 2*x + 4. Let f be d(z). Let c(t) = -6*t - 13. Determine f*i(a) + 2*c(a).\nAnswer: 2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3775362749 to the nearest integer?\nAnswer: 1557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10 - 3. Suppose 443 = 5*q - 3*c, -q - 4*c = -77 - a. Suppose 0 = -2*u + 2*i + 80, -i = 3*u - 20 - q. What is the common denominator of 16\/11 and u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 24882 and 9048?\nAnswer: 99528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.139 in -2\/9, -1\/11, 2, 1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (135\/135)\/(((-3)\/(-3))\/((-5)\/5)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**3 + 2*y**2 - 2*y + 1. Let b be g(1). Let t = 424 + 504. Let p = t + -88159\/95. Which is smaller: p or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -158495, -158484, -158473?\n\"Answer: 11*u - 158506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 37\/2 of a kilogram?\nAnswer: 18500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 6*i**2 - 37)*(6 - 2*i + 6 - 10)*(-13*i + 22*i - 33*i) to u*i**2 + y*i**4 + t + f*i + l*i**3 and give l.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 1)*(-r**4 + 11970*r - r**3 - 12 - 11968*r - 23).\nAnswer: r**4 + r**3 - 2*r + 35","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 62*s - 18 + 29 - 11 in the form t + n*s and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 11307945 to the nearest integer?\nAnswer: 3363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 515 by 5.\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 11\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22080378 divided by 6?\nAnswer: 3680063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22614 + 22730. What is the remainder when 2191 is divided by d?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 54 = 112. Let p = d + 109. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 3988*h. Let f(d) = d. Determine f(l(u)).\nAnswer: 3988*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/6)\/(-4 - 10236\/(-2556)). Find the third derivative of -9*b + 3*b + 152*b**3 + z*b**3 + b - 11*b**2 wrt b.\nAnswer: 1338","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ivvgv. What is prob of picking 1 g and 3 v?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**(1\/2)\/(k*k*k**(2\/9)*k)*(k*k\/k**(-2\/5)*k)\/(((k**(-15)\/k)\/k)\/k) assuming k is positive.\nAnswer: k**(1681\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2257 + 2256. Are d and 4\/6477 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19384283101 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 60 + -52 + (4 - 32).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i + 8. Let u be c(6). Suppose 0 = 4*k + j - 3*j - 150, -u*k - 2*j = -72. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 53, 75, 105, 143, 189?\nAnswer: 243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -60. What is the remainder when k is divided by 16?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-5 - -3) + 2)*1. Let q(c) = -c + 24. Let b be q(f). Suppose j = -3*n + 2*n + b, 0 = -5*j - 2*n + 105. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 78418355\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2305 (b) 3\/2 (c) 5 (d) -0.06 (e) -4 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*j + 31 + 260 + 31 for j.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3845*l**3*r**4 + l**3 - 8*l**2*r**4 - l*r**2 + 367*r**2 - 39 wrt r.\nAnswer: -92280*l**3*r - 192*l**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + ((-4 - 1) + -1 - -4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.9 - 0.1. Let b = w - 3. Let o = 136\/189 - 4\/27. Sort b, 0.4, o in increasing order.\nAnswer: b, 0.4, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*r - 48 - 37. Let v = -9 + 42. What is the remainder when v is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*r**5 - 2279*r**3 + 21*r - 4665?\nAnswer: -340*r**3 - 13674*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-6*(112\/126)\/(2\/((-48)\/(-20))))?\nAnswer: -5\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 42 + -44. Which is smaller: 1 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -528848388 divided by 1493922?\nAnswer: -354","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 >= -4503\/75094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10203443 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 59) + (1 - -3 - (0 + -15 + 11))?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -114ba8c (base 14) in base 3?\nAnswer: -120112022101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*z**2\/5 + 30420812*z\/5 - 115678225342418\/5 = 0. What is z?\nAnswer: 7605203","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -437*o - 5126 = 11480 for o.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of -h**3\/2 + 5*h**2\/2 - 14*h. Let t be x(2). Which is bigger: t or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17219, 34434, 51649?\nAnswer: 68864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = 4*i + 6993*m - 6997*m, 5*m + 26 = i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*g + 9*g - 2*g)*(3*g + g - 2*g) + (-g - 1 + 1)*(10*g - 21*g - 10*g).\nAnswer: 23*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 62dac (base 16) to base 12\nAnswer: 1763a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2*z = u + 11, u + z - 13 = 0. Solve -3*r + 3*y = -u, -5 = -3*r + y - 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*i = 251 - 35 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*v - 56 = -49*v. Is 55 at most as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**2. Let v(z) = 9*z + 8260. Determine v(b(l)).\nAnswer: -18*l**2 + 8260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/7 in -4, -0.2, 3, 0.7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -953 + 953.782. Let c = -1 - -1.8. Let d = f - c. What is d rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90)\/(sqrt(40)\/sqrt(100)))\/((sqrt(12) - sqrt(108))\/sqrt(4) - sqrt(144)\/sqrt(12)).\nAnswer: -5*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -1308, -4542, -10874, -21336, -36960, -58778?\nAnswer: -87822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 14\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*v + 212 = 254 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 121 - 107 = 0. Solve 0 = f*g - 11*g + 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.220923 years in centuries?\nAnswer: 0.04220923","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) 3 (b) -1 (c) 0.2 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71 + 77. Suppose -6*x + 9*x = -i. Put 3, 5, -4, x in decreasing order.\nAnswer: 5, 3, x, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.09562 + -22.09576. Let z = f + 21. Round z to 5 decimal places.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-115561.\nAnswer: -462244","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + (-38)\/(-6))\/(1\/(-3)). Let h be (24\/r)\/(1\/(-2)). Find the third derivative of -6*b + 9*b + 25*b**4 - h*b + 5*b**2 wrt b.\nAnswer: 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -32087119, -32087116, -32087111, -32087104, -32087095, -32087084?\n\"Answer: x**2 - 32087120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000010579 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-12)\/(-8))\/(3\/32). Let t be (0 - b\/72) + (-29)\/(-9). Suppose -5*y + t = -12, -4*f + 3*y + 755 = 0. Does 27 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8.2*-0.05.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8370397*k**2 - 2050117?\nAnswer: 16740794*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - k**2 + 14*k - 15*k - 6*k**3. Let n(b) = -7*b**3 - 4*b**2 - b. Let m be 2\/((-4)\/(-2))*5. Determine m*q(r) - 4*n(r).\nAnswer: -2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334 (base 9) in base 13?\nAnswer: -5c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-2*(-6 + 7)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**5 + 208*s**4 - 444*s**3 - 632*s**2 + 880*s + 864 = 0. Calculate s.\nAnswer: -54, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*w + 121*w = -1508764 + 1489245 for w.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20022020 (base 3) to base 15.\nAnswer: -1566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 33129.36 seconds?\nAnswer: 33129360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4284\/918*3\/(-10).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143 = -36*n + 683. Solve -70 + n = -11*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 79*d - 144. Calculate the least common multiple of 232 and t(2).\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 28 + -44. Let t = r - -15.944. Let o = t - -0.0560143. What is o rounded to six decimal places?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.05229 and -352.\nAnswer: 18.40608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010 + -10111?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*o**2 + 12*o**2 - 6*o**2 + (11*o**2 + 34*o**2 - 2*o**2)*(-1 + 3 - 3) in the form d*o**2 + q + m*o and give d.\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 299*r**2 + 92*r + 184. Let u(a) = 4*a**2 + a + 2. Let o(t) = -k(t) + 92*u(t). Let s(h) = -h - 40. Determine o(s(b)).\nAnswer: 69*b**2 + 5520*b + 110400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32 - -36. Suppose d = o - 3. Calculate the remainder when 13 is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 PM and 3:56 PM?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 2ad72 (base 14) in base 16?\nAnswer: 1a1a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 4*t - t + 2172 = 0, 4*t - 4 = 0. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) 3 (c) -5 (d) 0.18 (e) 2 (f) 13789 (g) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/15 and 19\/21?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 90*v + 14*v**2 - 90*v.\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m - 8*m + 0*m)*(-m - 3 + 3) + 4*m**2 - 3*m**2 + m**2 + (m + m - 3*m)*(m + 2 - 2).\nAnswer: 9*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 229264 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of q**6\/12 + 379*q**5\/10 - 381*q**4\/4 + q**3\/3 + 761*q**2\/4 - 381*q\/2 + 8291. Factor g(j).\nAnswer: (j - 1)**3*(j + 1)*(j + 381)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u**4 - 4*u**4 + 2*u**4)*((u + 3*u - 2*u)*(-5 + 7 + 2) - 3*u + u + u).\nAnswer: 7*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 2*f + 5*o + 16 = 0, -4*f + 4*o + 32 = 0. Suppose f*a + 1104 = -y - y, -a + y = 276. Is a\/(-8) - (-6)\/(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 3*i - 18, -z + 31*i + 11 = 29*i. Solve z*n = -p + 13, -3 - 4 = p - 2*n for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5036 (base 8) to base 12.\nAnswer: -15ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is g in 0 + 4\/3*g**3 - 16\/3*g**2 + 0*g = 0?\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 6*n - 23. Which is the second biggest value? (a) n (b) -0.1 (c) -2\/17 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -25.7 in 27, -4, 1.9, -3\/5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:06 PM and 7:33 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*a**2 - 26*a**3 + 95*a**2 + 2 - 31*a**2 - 30*a**2 to the form i*a + o*a**2 + j*a**3 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 151\/35 - 13\/5. What is the third smallest value in 1, 3, -3, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (5 - (-208)\/(-40))\/((-6)\/(-10)). Which is the closest to 0? (a) 0.1 (b) -9 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246953 is divided by 263?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 3:06 AM?\nAnswer: 7:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 126*q - 4984 = -230*q. Solve 2*g = -2*l - 0*g + q, -4*g + 23 = 3*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -86420*v**4 + 6959*v - 2 wrt v?\nAnswer: -1037040*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614 = -69*q + 145 for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(540\/75)*-4*57\/(-190).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**3 + 4*r**2 - 3*r + 5. Let l(v) = 2*v**3 + 7*v**2 - 5*v + 9. Let o be (6\/(-4))\/(9\/2 - 4). Give o*l(y) + 5*m(y).\nAnswer: -y**3 - y**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes before 6:26 AM?\nAnswer: 7:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4332.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 95, -3, 0, 3, -5.\nAnswer: -6, -5, -3, 0, 3, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - q + 8 = 0, -5*o - 5*q + 7 = 27 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(0 + 1 + 2)*(2*f**2 - f**2 + f**2)*(-2 - 2 + 3).\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1027 (b) -0.3 (c) -3 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zyw when three letters picked without replacement from {z: 2, y: 10, w: 3}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -93439, -93437, -93435?\n\"Answer: 2*w - 93441","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -112 - -115. Suppose 3 = j + n, 2*j + d*j = n + 21. Solve 1 = j*c + 2*o - 1, -c + 5*o = 5 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**3\/6 - o**2 - 8*o\/3 = 0.\nAnswer: -2, 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -8. Let y(v) = 0 - v + d - 7. Give y(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(8) + sqrt(8)*2 + 3 + 4 + 1*sqrt(648))**2.\nAnswer: 480*sqrt(2) + 1252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**2 - 18*h + 4. Let m(a) = a**2 + 2*a - 1. Let x(v) = 4*m(v) - s(v). What are the prime factors of x(-8)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 219358 and 134.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/(-30) - ((-726)\/(-10) - 3). Let y = n + 65. Let v(s) = -s**2. Let q(k) = k**4 + 3*k**3 - k**2. Let p(d) = y*q(d) + 12*v(d). Factor p(a).\nAnswer: -4*a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3 + 5 - o**3 + 4*o**2 - 3 - 3*o. Let k = -49 + 57. Let z be (-36)\/6 - (-1 - k). Give t(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 73197151 + 0*w**3 - 73196983 + w**3.\nAnswer: w**3 + 168","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the second derivative of -21*x**5\/40 - 19*x**4\/48 + 7*x**3\/8 + 5*x**2\/4 + 12*x - 11. Solve p(n) = 0.\nAnswer: -2\/3, -1\/2, 5\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131 is divided by 225\/18 - 1\/2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qoau when four letters picked without replacement from aauaaokaaaqaoqokoou?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 4*a - 13, -2*v = 2*v - 12. Calculate the remainder when 47 is divided by 224\/(-14)*(-1)\/a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -2*r**2\/11 + 11604792*r\/11 - 34814358\/11 = 0.\nAnswer: 3, 5802393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, -5, -64 in decreasing order.\nAnswer: -5, -56, -64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -2225920 divided by 4\nAnswer: -556480","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 19644928 and 39406.\nAnswer: 2074","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 - 13*o + 4. Let a be f(11). Which is bigger: -17 or a?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 43012962?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 32 = -4*u, 2*u + 0 = -2. Suppose 0 = -2*t + f + 3. Calculate the remainder when t is divided by (4\/(-6))\/(4\/(-18)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 103302 and 1350?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 - (1 + -1) - -2. Let t(x) = -4*x**2 - 3. Let b be t(a). Let g = -25 - b. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -78.832 + -0.168. Let i = s + 78. Which is the smallest value? (a) 1 (b) -5 (c) 2\/243 (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1292 - 759. What is the highest common factor of 287 and o?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-6\/13)*p\/(p\/(p\/p**14))*p assuming p is positive.\nAnswer: p**(-162\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes after 3:43 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1627 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 606410545.\nAnswer: 5, 13, 113, 82561","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-9)\/8*750\/(-3375)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98755 is divided by 262.\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/40 and 31\/224?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 3*r - 3 + 42, 0 = s + 6*r + 1. What is the remainder when (-2)\/(104\/54 - 2) is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of a**5\/10 - a**4 - a**3\/6 - 13*a**2 + 197*a. List the prime factors of g(11).\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**1\/d**(-5\/2))\/(d**(-2\/11)*d**(-1\/2)))**(3\/2) assuming d is positive.\nAnswer: d**(69\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(448)\/(sqrt(8) - (-4*sqrt(40))\/sqrt(5)))\/((sqrt(32)*-4 + sqrt(8))*2))**2.\nAnswer: 1\/700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o + 0*o - 2*o)*(-1 - 1 + 4) + (-o + 2*o + 2*o)*(-5 + 5 + 5) - 5*o - 2*o - 10*o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Solve -493 = 49*h + 338 - 292 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2\/19 + -11\/76. Let o = -7872 + 7875. What is the second biggest value in 5, o, m, 2\/7?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 80, 63, 4 in ascending order.\nAnswer: 4, 63, 80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28, 53, 94, 151, 224, 313, 418?\n\"Answer: 8*w**2 + w + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/21 and ((3\/1)\/(-3))\/(2310\/20).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.09545 to three decimal places.\nAnswer: -0.095","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5 + (-64)\/(-10) + 6\/10 and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -103 - -111. Solve -4*d = 4*r + h, -5*d = -r - 0*d + 22 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11\/2 + -6. Let j be ((-60)\/(-210))\/((-15)\/(-35)). Which is the biggest value? (a) 3 (b) l (c) j (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 12:23 PM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 c, and 1 h when three letters picked without replacement from {h: 2, c: 1, g: 4, u: 1}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 23 (b) -262 (c) 0.2 (d) -2 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.07 - 0. Let o(v) = v**3 - 5*v**2 - 2. Let m(j) = j - 1. Let x be m(6). Let k be o(x). Which is the third smallest value? (a) k (b) -0.2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -312 divided by 6?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -1.06, 21, -3, -1.1, -0.022?\nAnswer: -1.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - x + 64 - 14, -r = -4*x + 2. Let v = r + 60. Calculate the remainder when 83 is divided by v.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117898 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2 + (-7)\/5)*5. Let z be p\/(4 + 43\/(-10)). Is z at most -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ili when three letters picked without replacement from lizkzpspi.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -92*l**2 - 65*l + 4. Let h(c) = -277*c**2 - 184*c + 11. What is -4*h(q) + 11*o(q)?\nAnswer: 96*q**2 + 21*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 139556.\nAnswer: 2, 139, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -80583 (base 11) in base 7?\nAnswer: -1000340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/165 and 43\/1287.\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 7935452?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/58 and 69\/356.\nAnswer: 10324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -332001 - 11?\nAnswer: -332012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/(-1*sqrt(7)))**2*-5 - (2 + (3 + sqrt(343) - sqrt(343)) + sqrt(343)).\nAnswer: -40 - 7*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/6)\/(3\/18). Let g = a - -1. Suppose -4*h = -5*h - 5*o + 106, 288 = g*h + 5*o. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -114.1, -4, -14, 0.2, 2\/5 in increasing order.\nAnswer: -114.1, -14, -4, 0.2, 0.3, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the second derivative of o**5\/20 + 7*o**4\/12 + 3*o**3\/2 + 7*o**2\/2 + 19*o. Let l be f(-3). What is the highest common factor of 40 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -35. Let y(p) = p**3 - 5*p**2 + 5*p - 3. What is y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - f - 3, 28 = 4*x + 47485536*f - 47485540*f for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2 + (-1)\/(-2). What is the tens digit of (-2)\/(1*r\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -9002 + 9002.4. Which is the closest to 3? (a) 39 (b) 3\/7 (c) u (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5060?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.031 - 64?\nAnswer: -63.969","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6941 is divided by 751.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 1 (c) -55\/6 (d) 1\/6 (e) 9\/10 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 6*g - 1 + g - 5. Suppose 14 - 38 = -4*s. What is the remainder when z(s) is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -12 + 18. What is the greatest common divisor of 4 and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 13*w**2 + 4*w + 8. Let n be c(6). Suppose -366 + 11 = -5*h + 4*q, 4*h - n = 4*q. Is -2 + (-6)\/(-3) + h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.9263*0.2.\nAnswer: 1.98526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 99\/32 and 27\/(-240) + (-1 - 0).\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -116*r + 5705. Calculate g(50).\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = 3*j - 0 + 3, -2*j + 170 - 177 = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -334197? (a) 4\/7 (b) -2\/11 (c) 0 (d) 1 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 - 8241*i**3 + 2*i**2 + 548*i**4 + 8241*i**3)*(-i + 4*i + 4*i).\nAnswer: 3836*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -12952600 to the nearest 1000000.\nAnswer: -13000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 96*l**2 + 198 - 198 + (0 - 1 + 3)*(-l - 3*l**2 + l) - 3*l**2 - 2*l**2 + 3*l**2 + (-2*l + l + 0*l)*(-l - 3 + 3) - l**2 + 2*l**2 + 4*l**2.\nAnswer: 94*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 2*j + 2*j**2)*((-2 + 2 - 1)*(0*j + 0*j - 2*j**2) - 3*j**2 + 11 - 11)*(3 + 2 - 1)*(87 + 10 - 13).\nAnswer: -672*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1074321413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 1. Suppose -55 + x = -m - 5*w, 0 = -m + 5*w - 15. What is the remainder when 18 is divided by m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 10 = -2. Let j(p) = 1324*p - 1. Let c be j(i). Let o be 4 + -2 + c*34. Round o to the nearest 10000.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -82*m + 590413 = -23*m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439 - (23 + (-8)\/1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n - 2*n + 3*n + (-5 - 1 + 4)*(n + 1 - 1) - 2*n + n - n + n + 5*n - 4*n + 4*n - 3*n - 3*n + n - n - 2*n)*(27 + n**2 - 2515*n + 2515*n).\nAnswer: -7*n**3 - 189*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = u - 13*o + 39*o - 326 + 12, 3*u - 8*u - 3*o + 46 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t + 10. Let x be r(-4). Let j be 0 - 0\/(1 - x). Solve 0 = -2*s - 4, 5*s = -l - j*l - 13 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 32 - ((12 - -2) + -7 + -7)\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1529, -12415, -41855, -99125, -193501?\nAnswer: -334259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -39137*x**2. Let u(f) = -3*f. Calculate z(u(c)).\nAnswer: -352233*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -105, -359, -781, -1371, -2129, -3055?\n\"Answer: -84*h**2 - 2*h - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 minutes before 3:23 PM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90809238 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 + 12*z - 18. Give n(12).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -46 + 13*x + 46. Let n(b) = -6*b + 4*b - 3*b + 4*b. Give n(s(v)).\nAnswer: -13*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 139, 1048, 3501, 8272, 16135, 27864, 44233?\nAnswer: 66016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(76)*2*6 - (-2*((sqrt(76) - sqrt(76)*-2) + sqrt(76)) - sqrt(76))))**2.\nAnswer: 336*sqrt(19) + 33532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + -9. Let w = -14.9949 + g. What is w rounded to three decimal places?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 3*a + 27. Suppose 5*s - m - 276 = 0, 0 = -3*s + 5*m + 121 + a. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 7)\/(-6)*-33. Sort -2, 2, 4, r.\nAnswer: r, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z**3 + 10*z**2 + 18*z + 54. Give u(-6).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, p: 3, l: 2, x: 1}. Give prob of sequence lxe.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/4 - 7*i**2\/4 + 3*i\/2.\nAnswer: i*(i - 2)*(i - 1)*(i + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4\/7 - 2574*y**3\/7 - 6*y**2\/7 + 7718*y\/7 + 5148\/7 = 0. What is y?\nAnswer: -1, 2, 1287","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:12 AM and 9:43 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.01 - -0.01. Let h = 7 + x. Let r = 3 + -3.1. Which is the third smallest value? (a) r (b) h (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(7\/4)*((o\/(o**(2\/41)*o))\/o*o*o)\/o)\/(o**5)**12 assuming o is positive.\nAnswer: o**(-9561\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1273*n + 1150. What is the tens digit of p(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -564 - -572. What is the second smallest value in -2, h, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 - 4*z**2 - 4*z - 5. Let u be h(5). Let o(y) = u - 3*y**2 + y**3 - 10*y**2 - 4 + y. What is the smallest common multiple of 10 and o(13)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**2 + 7*y + 2. Let v be p(-6). Let w be (-14)\/8 + 1\/v. Which is the nearest to -1? (a) w (b) -1 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 5678*k**2 + 9*k + 2. Let a be y(9). Let f = a - 791297. Let t = 741296 + f. Round t to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -391314.70336?\nAnswer: -391315.00336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-18 - -24 - (1 - 4 - 2)) + 42.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 257938 is divided by 44?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 - 4*n + 2. Let f be r(4). What is the third derivative of -3*o**f + 13*o**6 - 35*o**6 + 21*o**6 wrt o?\nAnswer: -120*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -276 (base 8) to base 4\nAnswer: -2332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**2\/3 - 2310396*s + 34655990\/3 = 0?\nAnswer: -3465599, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*l + 1199 = 107 for l.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -39\/170 + 1\/34. Is k != -33.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -2*h. Let i be t(2). Let w be (-4)\/(i\/(-1)) + 1. Solve w = -5*b - 4*o + 3, 3*o - 1 = -4*b + 1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 2, n: 1, u: 1, w: 5}. What is prob of picking 1 z and 1 f?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**5\/4 + 25*c**4\/12 - 20*c**3\/3 + 10*c**2 - 10*c. Determine a, given that f(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7463 = -17*u - 0*u. List the prime factors of u.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 730768, 1461535, 2192302, 2923069, 3653836, 4384603?\n\"Answer: 730767*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292 + 289. Let h be (-315)\/(-104) + l + (-1)\/(-8). Let n = 0.3 - -0.2. What is the second biggest value in 5, n, -5, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 656 - 425. Calculate the greatest common factor of o and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 - 6*b. Let p(l) = 1 - 1 + 5*l**2 + 1 + 3*l + l**3 - l**2. Let x be p(-2). Suppose -x = 2*u + 7. Determine q(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32721 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/19287 and -5\/102861.\nAnswer: 220431123","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 4*y - 32 = 0, -5*i + 3*i + 5*y = -77. Let v = i - 13. Let z = -188 + 201. What is the highest common divisor of v and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5678 (base 11) in base 12?\nAnswer: -43a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 432 divided by 3.\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15275 = 140*w - 187*w. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24623.4011 - -24621. Let f = m - -2.4. What is f rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3 - -856?\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*x - 34*x - 45*x + 121*x.\nAnswer: -x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -282 - -287. Solve -b + d*b - 3*y - 26 = 0, b - y = 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*h**3 + 16*h**3 + 6*h**3.\nAnswer: -4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -118, 0.06, 0.3 in descending order.\nAnswer: 2, 0.3, 0.06, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28911 is divided by 278?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 561 by -187.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a milligram in micrograms?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4\/(-8) + 2\/(-4). Let h = x + 2. Let k be ((-2)\/6)\/((-2)\/4). What is the nearest to h in 0.1, k, 4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4b68 (base 15) in base 11?\nAnswer: 11092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 40 = 0, -1717*p + 131220 = 2*v - 1720*p. What are the prime factors of v?\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109587869 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-22)\/(-5))\/(7\/385). Let d(y) = -6*y - 60. Let z be d(-11). Suppose 41 = -6*g + 8*g - h, -z = -2*h. Calculate the greatest common factor of g and a.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -77*z - 131. Calculate l(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36516?\nAnswer: 2, 3, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 7, l: 7}. What is prob of sequence dldl?\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (24*i - 24*i - 21*i**3)*((0 - 1 + 2)*(1 - 1 + 1) - 2 - 14 - 13) to n*i**3 + p*i + f + d*i**2 and give n.\nAnswer: 588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3596 - -9217. What is the hundreds digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 141546 is divided by 95?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vdv. Give prob of picking 2 v.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 49, 50?\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r*r**(-2\/9)))\/r)**35\/(r*(r**(1\/5)*r)\/r*r**(-5)*r) assuming r is positive.\nAnswer: r**(-1099\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2204013 (base 5) to base 3\nAnswer: -1221010201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/g**(-1\/2)*g))\/g**13)\/((g\/(g*g**2))\/g)**(-6) assuming g is positive.\nAnswer: g**(-65\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 PM and 3:18 AM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -6793\nAnswer: -1\/6793","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18\/(-25)*5\/(-3)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*h - 50 = -34*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 p when three letters picked without replacement from enennyiyiipeyiryn.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 18 - -16. Suppose 38*v = m*v + 16. Let s = 3 - v. Is s equal to -1\/30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + -303111?\nAnswer: -303123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 114 and 600365.\nAnswer: 68441610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.92 - -2196116.\nAnswer: 2196115.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 48612?\nAnswer: -48612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, 0.4, 349?\nAnswer: 349","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2311 + -110?\nAnswer: -2421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 8 = 6*t, 12 = 4*x - 2*t. Is 14 a factor of -5 + x - (0 - 15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -6*u + 2*u + 28, 2*d - 49 = 5*u. What is the units digit of 249*((-4)\/d)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*b = 8*b - 4976 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.15609 + -1.8572. What is v rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from woww.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of h**4\/9 - 2*h**3\/9 - 4*h**2\/3 - 74*h. Let c(d) = 0. What is d?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 5*f - 10 = -f, -3 = -o + 5*f. Let v be o - -2 - 115\/(-46). What is the nearest to 1\/3 in v, -0.07, -2\/19?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 599 times 0.2\nAnswer: 119.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5468353.\nAnswer: 11, 43, 1051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 3*x**2 - 5*x - 7. Let p be v(-4). Suppose 0 = -u + 173 + p. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(-7*c**2 + 3*c**2 + 2*c**2) - 7517*c**2 + 164*c**2 - 598*c**2.\nAnswer: -7955*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 59985327?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q**(-6\/7)\/q))\/q)**(-30)*q*q**(10\/7)*q*q**(1\/3) assuming q is positive.\nAnswer: q**(-1091\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14672494?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(51\/42 + -1). Sort 3, s, 0.6, 0.24 in descending order.\nAnswer: 3, 0.6, 0.24, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sdcshplpc. What is prob of picking 1 d, 2 s, and 1 c?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 0.25 (b) -3 (c) 5 (d) 1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9944 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: What are the prime factors of 7869?\nAnswer: 3, 43, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/13)*s)\/(s\/s**(1\/5)*s*s)*s*(s\/s**(-1\/9))\/s*s*s\/((s*s\/(s**(-3)\/s))\/s) assuming s is positive.\nAnswer: s**(-2203\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 73 - 61. Is -1 - f\/(-2) - -355 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -116441 by 5.\nAnswer: -116441\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((6\/(-15))\/(-1))\/((-193338)\/(-14010))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1*(-2)\/(-4)*0. Suppose 6*p = 3*p + 9. Suppose -p*f + f + 50 = i. What are the prime factors of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (119 - 20*x - 119)*((x**3 + 0*x**3 + x**3)*(-4 - x + 4) + 7*x**4 + 7*x**4 - 5*x**4 + 2*x**4 + x**2 - x**2).\nAnswer: -180*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 53*t - 101*t - 3*t**2 + 47*t - t**2 + 3 - 2*t**3. What is y(-3)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116903 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5594452497?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*12\/(-8)*(-15)\/18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -72? (a) 2\/5 (b) 0.04 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 342*y + 456. Let g(n) = n + 2. Calculate 228*g(c) - l(c).\nAnswer: -114*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyayyygxygyyyyogxyy. What is prob of sequence ya?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 14.817 to 1 decimal place.\nAnswer: 14.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21\/(420\/95936) + (-5)\/(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 435745 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(1088) - (3 + sqrt(1088)))*2)**2*3.\nAnswer: 2700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.79 times 2?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6141970047?\nAnswer: 3, 193, 941, 11273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -352*i**2 + 6*i + 17. Let l be t(16). Let j be (-6)\/4 + 2 + l\/(-2). What is j rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617435577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = s - 10, 2*i = -5*s + 8 + 18. Let p(d) = -d**3 - d**2 + 2*d - 2. What is the remainder when p(-3) is divided by s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 164008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m - 1. Let z(p) = p**2 + 7*p + 2. Let i(b) = 3*u(b) + z(b). Calculate i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9*-1715.\nAnswer: -15435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-118 - -148) + 23 + -38.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000191854254 to six decimal places.\nAnswer: 0.000192","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 14*s**3 - 6*s**2 - 2*s - 5. Let t be n(3). Let a = -313 + t. Solve -4*i - 3*v = -a*v, 0 = -4*v for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 - 3*j**2 + 11*j + 319. Determine w(0).\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 22091393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) 722 (c) 4\/7 (d) -1\/7 (e) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -2*g - 13, -76 = 5*g - 3*z - 48 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.472474 millennia in years?\nAnswer: 5472.474","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of a**5\/20 + 13*a**4\/24 - 10*a**3\/3 + 45*a**2. What is the units digit of i(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-20))\/(19\/(1064\/42)). Which is the second biggest value? (a) 0.4 (b) r (c) 0.5 (d) 16\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1816?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**4\/4 + 759*u**3\/4 - 38*u**2.\nAnswer: u**2*(u + 152)*(5*u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0.011, -4.\nAnswer: -4, 0.011, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 15*x + 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*z**3 + z**3 + 25*z**3 + (2*z**3 + 0*z**3 - z**3)*(-2 + 1 + 0) + (4 + 5*z**2 - 4)*(6*z - 4*z - 3*z) + 3*z**3 + 3*z**3 - 4*z**3.\nAnswer: 62*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 + 41. Suppose 5*j - 35 = -5*t, 2*t - 6*j + 3*j = -6. Let c(z) = 2*z**3 + 2*z**2 - 4*z - 4. Calculate the remainder when c(t) is divided by o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-2\/3)*d\/d**7*((d**(-2\/7)*d)\/d)**(1\/72) assuming d is positive.\nAnswer: d**(-1681\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 + 2. Suppose 450 = r*v + 3*v. Does 18 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 22 - 2 = 0. Suppose -3*y - j = -8. Let w = 47\/15 + -131\/45. Put 0.3, y, -1\/8, w in descending order.\nAnswer: 0.3, w, -1\/8, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -30, -39, -4, 2 in decreasing order.\nAnswer: 4, 2, -4, -5, -30, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19653901 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1385 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*t + t + 13*t + (1 - 2 + 2)*(-t + t + t))*(0 - 1 + 2) to b*t + z and give b.\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-2\/9)\/(r\/r**(-7))*(((r**(-1)*r)\/r)\/r)**49 assuming r is positive.\nAnswer: r**(-956\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -851*y**2 - 1381 wrt y.\nAnswer: -1702*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(0 - -1)*-2. Suppose 3*t - 27 = -4*i, 3*i - v = -0*t + t. Let j = -2 + 2. Solve j - 10 = t*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 204 + -27. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 r when two letters picked without replacement from zrtztrtzrrzzzzrtxt.\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 81727 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -5*j**5 + 690*j**4 - 1415*j**3 - 80250*j**2 - 281540*j - 264600 = 0.\nAnswer: -7, -2, 14, 135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**3 - 1006*a**2 + 1960*a + 48192 = 0 for a.\nAnswer: -6, 8, 1004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c + 21. Let o be 63\/(-9) + (0 - (-3)\/1). Let i(x) = -2*x - 10. Determine o*t(z) - 9*i(z).\nAnswer: -2*z + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -4*v - 26, -5 = 2*v - v. List the prime factors of g + 10\/(-6) + (-430)\/(-6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, w: 3, l: 5}. Give prob of sequence wl.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 4*k + 73 = -61, 3*k - 213 = -4*b. Let n = b - 37. Suppose -4*z = -2*y + n, 3*y - 18 = 3*z - 0*z. Solve p - 15 = -y*p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*a = 24556 + 4066 + 7010. Which is smaller: 1053 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*g - 14 + 1580 = 0. Which is greater: g or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = f**3 + 7*f**2 - f - 5. Suppose 3*b = -9*j + 4*j - 31, -4*j - 43 = 5*b. What is the smallest common multiple of 14 and r(b)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-62 - -54).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**2 + 2*x + 1. Let j be p(-1). Let t = 53220991\/287 + -185439. Is t at most as big as j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 13315 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 3*f**2 + 12*f - 2. Let w be q(-6). Suppose w = -11*x - 21. Sort -2, x, -1 in ascending order.\nAnswer: x, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -121 + 126. Suppose -3 = -4*p + 5, a*z = -4*p + 18. Suppose -2*f = -5*d + 12 - 20, 4 = z*f - 3*d. Is 1\/74 <= f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1334*g**3 + 5925*g**3 + 940*g**3.\nAnswer: 5531*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -139 - -92. Let c = -3.236 - 43.664. Let o = c - i. What is the closest to o in -1, -2, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (39 - -1)*(-2)\/(-5). Suppose 4*y = -g, l - 17 = 5*y + 12. List the prime factors of l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 85*h**2 + 25*h - 152. Is u(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -2*r**2\/3 + 6682*r\/3 - 66220 = 0.\nAnswer: 30, 3311","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 60*d**2 + 2*d + 2*d - 5*d - 1. Let v = 16 + -17. Let r be o(v). What is the highest common divisor of r and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 352*k + 55967. Give o(-159).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) 303 (c) -12 (d) 0 (e) -3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 33 = q, -2*c = 3*q + 9 + 2. What is the second smallest value in 4, 0.16, c?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1 + 16*c + 0.\nAnswer: 16*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 100305523?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 113 + 91 - 5*n - 191 - 2*n**3 + n**2 + 7*n to the form i*n**3 + h*n + j + m*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/17 and 5\/28509.\nAnswer: 28509","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27 and 45.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 7*y. Suppose y = -p - p + 8. Let x(t) = 2*t**2 + 11*t + 7. Let a be x(-7). Calculate the highest common divisor of p and a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 398 and -15257.3616372.\nAnswer: -14859.3616372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 8*h + 5. Let y(a) = -2*a - 1. Let t = 1 - -11. Let b = t + -14. What is b*o(w) - 9*y(w)?\nAnswer: 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -3 + 23*(4 - 3). Suppose -k = -3*y - 2*y. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 3*x**3 - 18*x**2 - 18*x + 1. Let h(m) = -4*m**3 + 17*m**2 + 21*m - 1. Give 6*d(r) + 5*h(r).\nAnswer: -2*r**3 - 23*r**2 - 3*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 + -1. Let p = -51 - -53. Suppose r*k = 3*g - 151, 0*k = p*g + k - 86. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 123294787 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(10\/17))**16*(r*r*r**47)\/r*(r**(-3\/11)*r)\/r assuming r is positive.\nAnswer: r**(10685\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -3*d**2 - 4*d - 6. Let i(n) = n + 1. Give -4*i(p) - l(p).\nAnswer: 3*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 614833323.\nAnswer: 3, 13, 31, 39119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(432) + (sqrt(432) + sqrt(432)*-1)*2 + 1 + 4*sqrt(135)\/(sqrt(5)*2))**2.\nAnswer: 36*sqrt(3) + 973","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 8:30 AM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6204.4 + 6204. What is the second smallest value in 0.96, d, 5?\nAnswer: 0.96","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 18*k**2 + k + 23. What is r(-18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 47.8 - 47. Let v be 33\/(-12)*4\/(-22). Sort v, -1\/2, u, 0.\nAnswer: -1\/2, 0, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8627 - 8618. Suppose -3*z = 2*m, 0*z = -5*m - 4*z. Let x = 2 + m. Solve 12 = -2*g - x*w, -w = 2*g + 1 + c for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a, 1 i, and 1 j when four letters picked without replacement from {j: 1, a: 5, i: 1, n: 9, o: 1}.\nAnswer: 1\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**3 + 22*w**2 - 22*w + 328. Let z(i) = -4*i**3 - 20*i**2 + 20*i - 327. What is 10*x(k) + 11*z(k)?\nAnswer: -4*k**3 - 317","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -114*y - 3991. Let s be x(-35). Let z = 0.9 + 4.1. What is the second biggest value in z, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/31 + 489\/217. Factor 32\/7 - n*g + 2\/7*g**2.\nAnswer: 2*(g - 4)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2781*u - 7323*u - 8231*u - 5156*u.\nAnswer: -17929*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 35537 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21 + -34 - -13) + 16 + 9.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -419 (b) 641 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = m - 1, -2*m - 19 = -o - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18587 - -28775. What are the prime factors of r?\nAnswer: 2, 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13357 + 26854 - 60*t**2 - 13417.\nAnswer: -60*t**2 + 80","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -131\/55 - -11\/5. Suppose 10 = 3*y + i, 0 = 8*y - 4*y - 2*i - 10. Suppose -3*x - 17 = 2*m, 11 = y*m + 5*x + 39. Which is bigger: m or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1*4\/3 - -2. Let h = -3.98 - 0.92. Let k = h - -5.3. What is the nearest to w in k, -1, -3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -68*y - 897. Let p be s(-15). Is p smaller than 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*n + 126*n - 107*n = -752 - 388 for n.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times -1.5111?\nAnswer: -9.0666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 11*p**2 + 2*p. Let u(q) = -44*q**2 - 9*q - 1. Let b(v) = 9*o(v) + 2*u(v). What is the derivative of b(y) wrt y?\nAnswer: 22*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 312 = -3*d. What is d rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 280 + 544 = 0. Let o = 110 + n. Let z be 2\/(-4)*(2 + -2). Which is the third biggest value? (a) -4 (b) z (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -338, -344, -354, -368?\n\"Answer: -2*u**2 - 336","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 7879393534+-197\nAnswer: 7879393337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o**2. Let z(f) = 2*f**2 + 13*f + 13. Let c(n) = -n**2 - 6*n - 6. Let p(v) = -13*c(v) - 6*z(v). What is h(p(i))?\nAnswer: 2*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -80 - -85. Suppose -34 = -w*p - 19. Suppose -22 + 3 = -p*n - 4*y, -y + 6 = n. Solve 23 + 2 = -n*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4c454 (base 16) to base 2\nAnswer: 1001100010001010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1014 + 1014 - 95*k)*(4*k + 3*k**2 - 4*k)*((-2*k + 2*k + 2*k)*(-6 + 9 + 1) + 4*k + 0*k - 6*k) as f + c*k + u*k**3 + p*k**4 + s*k**2 and give p.\nAnswer: -1710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4 + 10 = 0. Let q(z) = z**3 + 4*z**2 + 3*z + 2. Let t be q(g). Let r(v) = 19*v - 1. Is r(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d**2 + 197*d + 0*d**2 - 196*d - d**2 + 4*d**3 + 1 - 3*d**2. Let g(t) = -t**3 + t**2 - t - 1. What is 3*g(s) + 3*q(s)?\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -434\/323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 8*s**3 + 11*s**2 + 12*s - 421. Let y(i) = i**3 + 2*i**2 + 2*i + 1. Determine v(d) - 6*y(d).\nAnswer: 2*d**3 - d**2 - 427","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(2\/3)*t*t)\/t)**(-1\/41))**(-44)*(t*t\/t**(-1\/5)*t**8\/t*t)**(2\/77) assuming t is positive.\nAnswer: t**(97246\/47355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 2\/7, -5\/17, 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**4 + c**4 + 0*c**4 + (1 - 4*c - 1)*(-3*c + 3*c + c**3) - 3*c**4 + 7*c**4 - 2*c**4 + 4*c**4 + 2*c**4 - 5*c**4 + 3*c**4 + c**4 - 6*c**4.\nAnswer: c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 60178171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**2 - 2*c + 1. Let v(w) = 2*w**2 + w. Let b(a) = -2*r(a) - 3*v(a). Let k(z) = -4*z**2 + 3*z - 5. Determine 5*b(s) - 2*k(s).\nAnswer: -2*s**2 - s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*b + 2*r - 13, -3*b - 3*r = 2*b + 9 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 87 - 80. Let u = 5 - 0. Solve -3*h = -u*r - c, -h + r + 2*r = -1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w + 38 + 40. Let h = 44 + w. Suppose -h*y + 4112 = -483. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 446200 to the power of 1\/3, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2 in -676, 0, 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**5\/19 - 7960*a**4\/19 - 7962*a**3\/19.\nAnswer: 2*a**3*(a - 3981)*(a + 1)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 15*u + 7. Let y(q) = -15*q - 5. Let b(a) = -3*w(a) - 4*y(a). Let c(h) = -h. Determine c(b(o)).\nAnswer: -15*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - 4. Factor 1 + 1 + y*z**2 - 3*z**2 - 3*z.\nAnswer: (z - 2)*(z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 19*z**2 + 30*z - 136. What is the tens digit of h(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/(-4))\/((-3)\/(-18)). Suppose -52 = -5*b + q. Let x(i) = -i + 11. Let a be x(b). Which is bigger: a or 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**4 + 6*t**4 + 0*t**4 + (5 - 2 + 0)*(4*t**4 - 2*t**4 - t**4) + t**4 + 0 + 0 + 2*t + 4*t**4 - 2*t as v*t**4 + n*t + w*t**3 + c + u*t**2 and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Do 11057 and -0.4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -728, 3, 1, 0.2, 4\/3?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 71 - 1 - (-15 - -8). Calculate the highest common factor of 363 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 579.0000409 - 579. Round f to five dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.09 + -0.29. Let u be 1*2 + (-4 - 3). What is the third smallest value in 0, u, x?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15007 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 4*g**3\/3 + 7*g**2\/2 - 8*g + 14. Is t(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(26)\/sqrt(2) - (-2 + -1*sqrt(13)))**2.\nAnswer: 16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 105 and 1715.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -7*d - 27. Let z(v) = -3*v - 13. Let r(l) = -2*b(l) + 5*z(l). Let x be r(-10). Let t be 1 + 2 - 78\/27. Is t at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bcvbotatbtov. Give prob of sequence va.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 19*n**2 + 9*n + 180. Let j be d(-19). Solve 0 = -6*r + 5*r + o + 1, -r + 3*o = -j for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 8316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 7, e: 9}. What is prob of picking 3 y?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56287111 and 59416.\nAnswer: 1061","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 5, u: 2, n: 4, z: 1, e: 2}. What is prob of sequence ue?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 7*m = 3*m - 58748, -5*m - 44069 = -3*s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3275003 or -3274989?\nAnswer: -3274989","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + -1.03. Let c = 24 + -37. Is k greater than or equal to c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*d - 16 + 16)*(-2*d + d + 0*d) + (-2 - d + 2)*(-6*d + 3*d + d) + (-5*d + 3*d - 34*d)*(d + 0*d + d).\nAnswer: -75*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14 + 9*o + 18*o**2 + 0*o**2 + o**3 + 8*o. Does 7 divide j(-17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 593 is divided by 341.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 36\/(-70) + 4\/(-14). Suppose 2*f - 3*f = 2. Let q = -0.02 + -0.38. Which is the biggest value? (a) f (b) z (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3234 is divided by 1073.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 215, -8, -515, -1402, -2765, -4700, -7303?\nAnswer: -10670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1956 - 1.1956. Which is smaller: -104.8 or q?\nAnswer: -104.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2239069 and 707?\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/288098 and -139\/864294.\nAnswer: 864294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5459\/14 + 384. Let j = 4273810\/193 - 22144. Let x = 23559\/1930 + j. What is the common denominator of b and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5777*c*d**3 - 3135*c*d**2 - 3*c*d - 2*c - 2501003*d wrt d?\nAnswer: -34662*c*d - 6270*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**2*p*w**2 + 24*g**2*p*w - 12559*g**2*w**2 + g*p*w**2 + 73*g*p*w + 270*w**2 wrt g?\nAnswer: 4*p*w**2 + 48*p*w - 25118*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:43 PM and 10:13 AM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 84 = 4*r. Let c = r + 25. Suppose 0*m = -c*m. Is m greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23219 - 10292 = -3*o + a, -3*a = -5*o + 55861. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28189, 47446, 66705, 85966, 105229, 124494, 143761?\nAnswer: 163030","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (t - 4*t + t)*(2*t + 2 - 2) - 4 + 2*t**2 + 4 + 5*t**2 - 5*t**2 + t**2 + (0 + 0 + 2*t)*(5*t - 5*t - 2*t) to the form k + o*t + n*t**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2529.\nAnswer: 10116","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 4\/5, -9\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 112669, 118023, 123377, 128731?\nAnswer: 134085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 132\/924*((-13626)\/900 - -15)?\nAnswer: -1\/50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31998 is divided by 4569.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -471013\/183 + 2574. Find the common denominator of 74\/33 and i.\nAnswer: 2013","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the third derivative of v**5\/20 - 241*v**2. Let h(n) be the third derivative of n**5\/60 + n**2. Determine h(f(u)).\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do -21 and 162 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 72 + -5. Calculate the remainder when q is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4289 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 72 * 35\nAnswer: 2520","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = y**2 + 15*y + 5. Determine v(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -240 (base 5) to base 8\nAnswer: -106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-101*s**2 - 6*s + 105*s**2 + 5*s)*(-3 + 36 + 41).\nAnswer: 296*s**2 - 74*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 + 21*u**2 - 8*u**2.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 2*s - 96 = 0. Let b be s\/(-16) + 58\/(-4). Let z(w) = -w**2 - 16*w - 19. What are the prime factors of z(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/2*(-13 - 174\/(-15)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -78*g**3 - 11*g**3 + 1027 - 56*g**3 - 7*g**3 wrt g.\nAnswer: -456*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/57)\/(2\/(-12)).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, l: 4, j: 6}. Give prob of sequence wwlw.\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12019 + 12019 + 6288*v.\nAnswer: 6288*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -3379*o + 5. Let a(r) = -3246*r. Calculate a(w(u)).\nAnswer: 10968234*u - 16230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 29473 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-9 - -4 - -3) - -12\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m = -25*w + 375 + 11, 0*w + 110 = -w - m for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 38*r**3 + 190*r**2 - 2*r - 16. What is c(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(2) - sqrt(96)\/sqrt(12) - (sqrt(2) + sqrt(14)\/sqrt(63) - sqrt(2))) + 4 + (sqrt(2)*-1*4*-6 - sqrt(14)\/(sqrt(21)\/(sqrt(3) + sqrt(27)))).\nAnswer: 7 + 56*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = x + 32, 27 = -5*r - x - 50. Let v = 3 - 4. Which is greater: v or r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (((-3)\/(-30))\/((-4)\/(-104)))\/((-48)\/240). Let o(y) = y**3 + 13*y**2 - 3*y - 27. Give o(j).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 109722 is divided by 54850.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 649 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*x - 3*x - 2*x)*(x - 2*x - 2*x) as z + b*x + c*x**2 and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 16 + 13)*((0*x - 2*x + 4*x)*(-2 + 0 + 3) + 0 + 0 - x + 3*x + 4*x - 2*x - 5*x - 3*x + 5*x + 0 + 0 + 4*x) to the form h*x + l and give h.\nAnswer: 182","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1827261892?\nAnswer: 2, 31, 14735983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 2*g + 4 + 16, g = -4*i - 18. Let h = 106.2 + -106. Let a = -23153 + 23154. Put h, 0.5, a, g in decreasing order.\nAnswer: a, 0.5, h, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 + 75*n**2 - 2*n - 129. Give h(-75).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -994 + 205 = 90*s - 339 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.73, 1, 1\/5, 4\/5, -13 in descending order.\nAnswer: 1, 4\/5, 1\/5, -0.73, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + b + 14 - 47 = 0, -2*u + 105*b - 59 = 3*u + 102*b for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29 + 464b?\nAnswer: 4676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) 0 (c) 53 (d) -36\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**2 + 592 + 2*j**2 - 721 + 8547*j**4 - 2255 wrt j?\nAnswer: 34188*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(1 + -4 + -2 + -5*(sqrt(252) + 1) + 5) + 0.\nAnswer: 25 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/4 of a litre?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 370\/3 - 124. Let g = 10.6 - 11. Which is the third smallest value? (a) 1\/4 (b) -2\/9 (c) z (d) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hkhkhhhh. Give prob of sequence hkhk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 at most 2466\/793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1263787 decades to months.\nAnswer: 15.165444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4093, -16262, -36497, -64780, -101093, -145418, -197737?\n\"Answer: 3*z**3 - 4051*z**2 - 37*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (406 - 343 - 690)*(0*x**4 + 2*x**4 - 6*x**4) + 0*x**4 + 4*x**4 - 2*x**4.\nAnswer: 2510*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of 0*u**3 + 2*u**2 + 0*u**5 + u + 0 + 2\/15*u**6 + 0*u**4. What is the first derivative of t(h) wrt h?\nAnswer: 16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7082.\nAnswer: 2, 3541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3374541 divided by -729.\nAnswer: 4629","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1100)*-3*-3 + sqrt(1100) + -2 - (sqrt(132)\/(sqrt(24)\/sqrt(2)) - 4*sqrt(1584)))**2.\nAnswer: -588*sqrt(11) + 237703","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.9 + 8.1. Let v be (-6)\/4 - (-7)\/(-2). Which is the smallest value? (a) q (b) -1\/4 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-42)\/(-56))\/3*2*-2*-8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a + a - 4*a)*(-6 + 5 + 0) - 37*a - 11*a + 27*a.\nAnswer: -20*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 3*u**3\/8 + 144*u**2 + 48231*u\/8 - 6677547\/4 = 0.\nAnswer: -233, 82","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 135148 and 28928?\nAnswer: 452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t\/t**(-2))\/t*t*t))**(10\/9)\/(t\/t**(-2)*t)**28)\/((t\/(t*t*t\/(t\/(t\/t**(4\/7)))*t*t))\/t**(3\/7)*(t*t**2)\/t*t**(-1\/2)\/t) assuming t is positive.\nAnswer: t**(-4703\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -438, -2261, -7558, -18177, -35966, -62773, -100446?\n\"Answer: -308*j**3 + 111*j**2 - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4268306?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t + 22. Let h(p) = p + 2. Let c(q) = 5*q + 43. Let j(v) = -3*c(v) + 6*h(v). Let m be j(-13). Give o(m).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**4\/a)**(2\/181)\/(a**(2\/7))**3 assuming a is positive.\nAnswer: a**(-1044\/1267)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4914)\/(-130))\/21)\/(3\/20).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cbckscjjknjs. What is prob of sequence sjsk?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8938 is divided by 93?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the third derivative of -o**6\/720 + o**5\/120 - o**4\/8 + 3*o**2. Let n(j) be the second derivative of k(j). Differentiate n(t) with respect to t.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 1839*u + 5. Let q(g) = 928*g + 2. Calculate -3*c(v) + 7*q(v).\nAnswer: 979*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -289008\/109 or -2650?\nAnswer: -289008\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 + 6 = 6*b. Suppose -3*j = -2*p + 5*p + 3, -25 = -3*j + b*p. Suppose -3*y + 0*v = 2*v - 972, -j*v + 643 = 2*y. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/3, -2\/9, -8\/6339 in descending order.\nAnswer: -8\/6339, -2\/9, -1\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -14*u**5\/5 - 236*u**4 + 2254*u**3 - 1420*u**2 - 2976*u\/5 = 0.\nAnswer: -93, -2\/7, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-38 - 49) + -31 - (-43 + 24)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + -1 + sqrt(125) + sqrt(125) + -5 + (sqrt(125) - -1*(1 + sqrt(125))) + (sqrt(125)*2 + 5 - (sqrt(125) - (sqrt(125) + sqrt(125) + -2 + 2))))**2.\nAnswer: 1750*sqrt(5) + 30750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/8 + (-4)\/8*-1. Let p = 0 + 0. Factor -3\/4*f**4 + 3\/4*f**5 + p - 3\/2*f**3 + o*f**2 + 0*f.\nAnswer: 3*f**3*(f - 2)*(f + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -85 - 5 - -122 - (0 - -2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4316, 4321, 4314, 4289, 4240, 4161, 4046?\n\"Answer: -y**3 + 12*y + 4305","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/((-9177)\/14)*3.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 - 36.48620015\nAnswer: -34.78620015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -193 - 3?\nAnswer: -196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 6503823654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z + 480. Let s(b) = b + 480. Calculate -4*q(g) + 5*s(g).\nAnswer: g + 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/14*40\/(-12). Suppose -31 = -n + i*k, -n + k = 3*n - 29. Solve n*z = 3*z - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 13) to base 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s = -f - 0*s + 8, -s - 4 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3479 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*r + 62 + 1014 - 75.\nAnswer: 3*r + 1001","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -4640*p. Let r(m) = -3*m**2 - 38*m + 1. Calculate b(r(i)).\nAnswer: 13920*i**2 + 176320*i - 4640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2\/3, 0.5 in increasing order.\nAnswer: -3, 0.5, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the second derivative of -a**7\/189 + 4*a**6\/135 - a**5\/15 + 2*a**4\/27 - a**3\/27 + 9*a. Solve t(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -516*t = -497*t + 95 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137435 divided by -27487.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -153, -169, -195, -231, -277?\nAnswer: -333","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-208)\/(-156)*9\/(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 921042?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 47 + -43. Let r be (-6 + v)*(-1)\/14. Put -0.2, -8, r in descending order.\nAnswer: r, -0.2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111301 (base 6) to base 11.\nAnswer: -7073","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = -3*n + 4. Let y(v) = -v**2 - v + 1. Let b be y(n). Let z(p) = -6*p**3 - p**2 + p + 1. Determine z(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8847, -8868, -8929, -9024, -9147, -9292, -9453, -9624?\nAnswer: -9799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02602 rounded to three decimal places?\nAnswer: 0.026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 9*z**3 + 55*z**2 - 14*z + 5. What is u(-6)?\nAnswer: 125","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 2*i - 58. Give w(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 8646?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 481 and 13?\nAnswer: 481","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l + 30*f + 7 = 25*f, 5*l + 11 = -3*f for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 p, and 1 g when three letters picked without replacement from apgev?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -4401*i**3 + i. Suppose 2*b = 1 - 3. Let t be f(b). What is t rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52.9829886 - -154.\nAnswer: 101.0170114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, l: 2}. What is prob of picking 2 p?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0 - 2 - (-16 + 24)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 4.759090742?\nAnswer: 4.859090742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 17088288813.736 - -1\nAnswer: 17088288814.736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16 - -16.04. Let q = m - 0.04. Is q less than -0.4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 274 - 271. Which is the smallest value? (a) -1\/4 (b) u (c) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwnqwddan. What is prob of picking 1 d, 1 q, and 1 w?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 5*f**3 - f**2 + f - 2. Determine q(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -209, -367, -523, -677?\n\"Answer: t**2 - 161*t - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.2 + -0.6. What is the nearest to -1 in s, 5\/3, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 15 = -3*q. Suppose 17 = -5*j - 4*p, -q*j + 5*p + 11 = -j. Which is the closest to -1? (a) 2\/13 (b) 1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10455 - -10455.000004609. What is r rounded to 7 dps?\nAnswer: 0.0000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31469 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -123140444 (base 6) in base 13?\nAnswer: -65a043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 minutes before 4:18 PM?\nAnswer: 3:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6408*f**3 - 3709*f**3 - 2758*f**3.\nAnswer: -59*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 279, 266, 253, 240, 227, 214?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = s**2 + s**2 - 3*s + 16*s - 8*s - 2. Calculate t(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 22*a**2*s**3 + 41*a**2 - 2*a - 670*s**3 wrt s.\nAnswer: 66*a**2*s**2 - 2010*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2.6? (a) 1 (b) -1\/5 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 2*d - 135 = 0. Suppose -5*x = -3*x - 4. What is the lowest common multiple of x and d\/12 + (-3)\/(-4)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3538725.\nAnswer: 3, 5, 29, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0018219 rounded to four decimal places?\nAnswer: -0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 52211 and 8967359.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 6*g**2 + 2*g + 1. Let x(h) = 13*h**2 - 15*h + 57*h - 15*h + h**3 + 2 - 22*h. Give -5*j(f) + 2*x(f).\nAnswer: 2*f**3 - 4*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*r**3 - 28*r**2 + 3*r - 13 wrt r?\nAnswer: -30*r - 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.98966167 to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -224.4 + -71.6. Let z = k - -299.46. What is z rounded to one decimal place?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-1 - (8 - 3 - 11))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n**3 + 20*n - 2. Let f(d) = -d**3 + 2*d**2 + 24*d - 2. What is 5*f(g) - 6*u(g)?\nAnswer: g**3 + 10*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 25\/111204 and 5\/6.\nAnswer: 111204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 78 a factor of 227682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14766182, 14766171, 14766162, 14766155?\nAnswer: 14766150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 236082 is divided by 4373.\nAnswer: 4313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*f + 35*f**2 + 7*f**2 + 6*f + 6*f + 3*f to o*f + d + p*f**2 and give p.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.1848 rounded to 1 decimal place?\nAnswer: -3.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1203 a factor of 31781285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 371574 divided by -189?\nAnswer: -1966","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) be the second derivative of -73*r**4\/12 - 62*r - 1. Let u(k) = 2 - 2*k - 4 + 2. Give h(u(v)).\nAnswer: -292*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stt when three letters picked without replacement from {s: 1, n: 3, a: 4, t: 2}?\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044355339 rounded to 3 decimal places?\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*o**3\/4 - 627*o**2\/4 - 309*o\/2 = 0.\nAnswer: -206\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.2? (a) 0.15 (b) 1\/3 (c) 0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-5)*(-40047)\/(-373772)?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 888874 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*k = -0*k - 10*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 18*n**2 - 63*n - 14. Let x be m(-10). Let z = x + 177. Is z > -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5267369530 - 43501.\nAnswer: -5267413031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1334, 2259, 2770, 2867?\n\"Answer: -207*d**2 + 1546*d - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381866 = 6*h + 92072. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**2 - 2*y. Let u be j(3). Let m be (-1 + u)\/(10\/15). Suppose -q + m*q = 92. Calculate the remainder when q is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4182\/7 + 598. Which is the closest to m? (a) 7 (b) -5 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 + -51 + 30 + 66 + -153?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -2\/4977365?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-12 - (13 - 12))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -3, -882, -5\/4, -1.\nAnswer: -882, -3, -5\/4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmmmmmmtmtmmmmtmmtmm. What is prob of picking 1 m and 1 t?\nAnswer: 15\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3603\/13 - 277. Let s = -10 + 10. What is the second biggest value in s, 5, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:07 PM and 10:25 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 + (-6 - 17 - -4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2000 and 33864?\nAnswer: 8466000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 70 is divided by 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1100010011100 (base 2) to base 3\nAnswer: 22122100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-8\/3)*x**(-18\/11))\/(x**(-10\/9)*x)**(3\/46) assuming x is positive.\nAnswer: x**(-6521\/1518)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14 + -23 - 11\/(-2)*2. Solve -b*m = -5*a, -81*m + a = -76*m - 23 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = x + 2*p - 2, -3*x + 3*p + 9 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 - 8*y - 22. Let p be k(-3). Let o(m) = -2*m + 10. Suppose d + 4*d = 25. Let f be o(d). Solve f*r + 5*r = p for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 1 + 6 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1\/2 - 68\/(-8). Let n be (3\/2)\/(f\/12). Factor -43*y - 4 + 29*y - 121*y**n - 30*y.\nAnswer: -(11*y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + o - 4)*(2 + 2 - 5)*(1 + 2 - 5)*(3 - 10 + 1).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -0.19 (b) -0.1 (c) 2\/5 (d) 0.3 (e) 0.0034 (f) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -8 - ((-20 - -11) + 20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 17820 and 474030.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 6*a**2 - 5*a - 25. Let k be r(-3). Let v = 41 + k. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6578, -2, 27 in increasing order.\nAnswer: -6578, -2, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79 - -81. Let f(a) be the third derivative of -a**u - 1\/144*a**4 + 0 + 1\/720*a**6 + 0*a**3 + 0*a + 0*a**5. Determine h so that f(h) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -341, -719, -1161, -1667, -2237, -2871?\n\"Answer: -32*q**2 - 282*q - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -887*x**4*y**3 + 3*x**4 + y**3 + 96*y - 16 wrt x?\nAnswer: -3548*x**3*y**3 + 12*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.2. Let v = s + -4.2. Which is the biggest value? (a) 1\/4 (b) -3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*m - 24 = -4*u - 34*m, 3*u + 3*m - 18 = 0. Let i(b) = -b**3 + 5*b**2 + 6*b - 2. Give i(u).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {v: 7, d: 6}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*c - 667 = -72 + 190 + 83 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3570152 (base 10) to base 14.\nAnswer: -68d10c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -14 * 3835\nAnswer: -53690","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2\/11 + 518803992*i\/11 - 33644697764392008\/11.\nAnswer: -2*(i - 129700998)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -18.3 - -21.05. Let m = -2.25 - q. What is the closest to -53 in -2, m, 4\/5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 19be (base 15) to base 11.\nAnswer: 4212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 5358?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1546.042 minus -8?\nAnswer: -1538.042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -330 - -395. What is the remainder when 316 is divided by w?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39*s - 86 = -8. Let k(b) = -2*b**2 + 9*b + 16*b**s - 13*b**2 + 15. Determine k(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/(-54)*(-4)\/(-16).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*l = -6314 + 35330. What are the prime factors of l?\nAnswer: 2, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 3*u - 2*j + 26, 53 = 5*u + 2*j. Suppose 11*v = 7*v + t - u, -3*t = 4*v + 5. Sort -5, v, 0.9 in decreasing order.\nAnswer: 0.9, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1282, 2156, 3018, 3862, 4682, 5472, 6226, 6938?\n\"Answer: -x**3 + 881*x + 402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16771\/20 + 1669\/2. What is the common denominator of 103\/20 and i?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3512, 3508, 3502, 3494, 3484, 3472?\nAnswer: 3458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 2*i**5\/3 + 854*i**4\/3 + 25700*i**3 - 325640*i**2\/3 - 308432*i\/3 + 429632 = 0.\nAnswer: -294, -137, -2, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjjljjjljl?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 1\/4 of a millennium?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**3 + 8*s**2 + 21*s - 10. Let i be j(10). Solve 7*b - 20 + 48 = i for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -13*z**3 + z**2 + z - 1. Let d be q(1). Let c = d + 22. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**14*v*v**(2\/49)*v*v\/v**(4\/7)*v*v**(-1\/8)\/v)**(-2\/47))**(1\/11) assuming v is positive.\nAnswer: v**(-6407\/101332)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 440779, 440959, 441139, 441319?\nAnswer: 441499","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**3 - 2. Let m(p) = p**3 + 1. Let r = 2111 + -2117. Give r*m(c) - 2*g(c).\nAnswer: -8*c**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**2 + 6*n - 14*n - 6 + 4*n = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (((-g - 2*g + g)*(-1 - 4 + 4) - 5*g - g + 5*g)*(-1 + 1 - 4) + (1 + 4 - 4)*(3*g - g - 5*g) + 2*g + 2*g - 3*g)*(-21 + 2 + 6 + (1 + 0 + 0)*(1 - 1 + 1)).\nAnswer: 72*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 + -13. Suppose 2*n - 8 = 0, -2*b - w = -n + 6*n. Calculate the remainder when 77 is divided by (56\/b)\/((-2)\/25).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.007405387667 to 6 decimal places.\nAnswer: -0.007405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the third derivative of -g**6\/120 - g**5\/20 - g**4\/8 + 2*g**3\/3 - 48*g**2. Let d = 6 - -1. Calculate the remainder when h(-4) is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11734*n + 145*n**3 + 25 + 11734*n + 5*n**2 wrt n.\nAnswer: 870","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a centimeter in micrometers?\nAnswer: 17500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 0.2072?\nAnswer: -0.1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x - 2*x + 4*x)*(-1 - 2 + 1)*(3 - 1 - 5).\nAnswer: 24*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:24 AM and 3:15 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 13271 (base 8) in base 6?\nAnswer: 42533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 8, -38, -2\/3, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*w**3 + 220*w**3 + 124*w**3.\nAnswer: 337*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 280 = -40. Is p a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**24)**23)**(-35) assuming s is positive.\nAnswer: s**(-19320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -32112 (base 9) to base 3\nAnswer: -1002010102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 562 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is (2 - 3)\/(-1) + 125056\/16 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16 + 8. Let s = r - -15. Let k = -0.15 + 0.05. What is the closest to 1\/3 in k, -0.4, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 19*i**3 - 4*i**2 - 13*i + 26. Give j(2).\nAnswer: 136","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1428?\nAnswer: 2, 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -3*w + 55, 0 = 2*s + s - 2*w - 176. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133 + 52 = 5*o. List the prime factors of o.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*f + 3*j + 14, 3*f = 4*j - 11 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -334822*p*w**2*x**3 + 34*p*w*x**2 + w**2*x**3 - 29*w*x**2 - x**3 + 11516*x wrt p?\nAnswer: -334822*w**2*x**3 + 34*w*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*l + 20*l = -177. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 208*b - 657 - 433*b + 232*b as n*b + u and give u.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6146*l**2 - 2050*l**2 - 2043*l**2 - 2049*l**2.\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h = 20*h - 1392. Suppose 0 = -53*o + h*o + 30. Solve 0*s - o*s + 18 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*f - 3*f - 2508. What is the remainder when (-1)\/(-2) + f\/8 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5542 or -220?\nAnswer: 5542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/8)\/((-2)\/12). Let r be ((-4)\/3)\/((-2)\/i) + 266. Suppose a + 3*a - r = 0. What is the remainder when a is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169092 divided by -4.\nAnswer: 42273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qjjqkjjqjktqj. Give prob of picking 2 j and 1 t.\nAnswer: 15\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**6\/t)\/t)**(9\/4) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 6*q**2 + 3*q - 4 + 3*q. Let y be l(-4). What is y rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 7:50 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 6, 22, 36, 42, 34, 6?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - f + f + 2*f - 2*f + f**2 + (-5*f - 2*f + 4*f)*(f + 5*f - 4*f) - 559 + 559 - 38*f - f**2.\nAnswer: -8*f**2 - 38*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8059 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1086, 1469, 1852?\n\"Answer: 383*o + 703","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2, 60, 5, 4, 145 in decreasing order.\nAnswer: 145, 60, 29, 5, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.2 - 5.2. Let q = -5.000066 - f. What is q rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l = -71*l + 322 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12784 + 4920. Calculate the highest common factor of 8 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 - ((-5 - -8 - 7) + 113) - 18?\nAnswer: -135","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-2\/57)*q)**(11\/5)\/(q*q**(-4))**(2\/19) assuming q is positive.\nAnswer: q**(1366\/285)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*r + 17 = -35 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 9116*l - 335722 - 202122 for l.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -4142234 times 3\nAnswer: -12426702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001344639 to four decimal places.\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -8*w + 3. Let q(z) = -55*z + 22. Let s(l) = 4*l**2 - l + 22. Let c be s(0). What is c*a(h) - 3*q(h)?\nAnswer: -11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.3 - 0.8. Suppose -2*s = 3 + 9. Let o be (-27)\/s + (-1)\/2. Which is the second smallest value? (a) 0.4 (b) o (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1110987986 to the nearest integer?\nAnswer: 1036","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3276 and 17550?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*u + 25. Let a be (-10)\/4*(u - -3). Suppose 3*j + 10 - 25 = 0. Calculate the greatest common factor of a and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c**2\/5 + 10*c + 168\/5 = 0.\nAnswer: -3, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-42))\/((-1)\/(-45)))\/((-786)\/22008).\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n + 17*o = 71, 0 = -n - 9370*o + 9367*o + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 702 minutes after 7:47 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 18 and 15606.\nAnswer: 15606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97220*x - 97223*x + 127 = -m, -3*x + 3*m = -129 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.2336102 to four dps.\nAnswer: -0.2336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 14041032023?\nAnswer: -14041032023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -101*r - 103*r - 108 = -213*r for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 + 1063. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 44\/10 - 21\/(-35). Suppose -4*m + 5*m + f = 114, -2*m + b*f + 200 = 0. What is the greatest common factor of m and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 0.2064086?\nAnswer: -0.2064086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 554055 and 3333360.\nAnswer: 645","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**(4\/11))\/((o\/o**(-1))\/o))\/(o\/(((o\/(o\/((o*o**0)\/o)))\/o*o)\/o))**(-1\/10))**(-46) assuming o is positive.\nAnswer: o**(414\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 123934, 3 in ascending order.\nAnswer: -4, 3, 123934","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(1440) - sqrt(1440)*-1*1))\/(((2*sqrt(280))\/sqrt(7))\/(-2*sqrt(968))))**2.\nAnswer: 1254528","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -78 - -17. Let q = -64 - w. Sort -3\/2, q, 1\/3.\nAnswer: q, -3\/2, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5821, 5818, 5807, 5782, 5737?\nAnswer: 5666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/850 and -173\/60.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usjkkkkokquu. Give prob of sequence uqoj.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 2*q**3 - 21*q**2 + 2*q - 5. Give b(10).\nAnswer: -85","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1191720.3 + 38\nAnswer: 1191758.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 7770, 31064, 69880, 124218?\n\"Answer: 7761*u**2 + 11*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 154902424 to the power of 1\/2, to the nearest integer?\nAnswer: 12446","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*j**4 - 56\/5 - 54\/5*j**2 + 104\/5*j + 4\/5*j**3.\nAnswer: 2*(j - 2)**2*(j - 1)*(j + 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 200 is divided by 79.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 11*j**2 - 43249*j + 40896090.\nAnswer: (j - 2349)*(11*j - 17410)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 - -10) + 15 + -32.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) be the first derivative of -23*j**5\/5 + 3*j - 16. What is the first derivative of b(w) wrt w?\nAnswer: -92*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/(-12) + 2)*-3. Which is the second biggest value? (a) 5 (b) t (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -15 + -1543e7?\nAnswer: -1543fc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 5*o + 19*f - 16*f, 0 = -3*o - f. Which is the nearest to 0.6? (a) 8 (b) o (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 + j**2 - 4)*((-14 + 9 - 24)*(3 - 1 - 4) + 2 - 1 + 8).\nAnswer: 67*j**2 + 134","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x**3 + 2*x**3 + 0*x**3 - 17*x**3 + 3*x**3.\nAnswer: -18*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -q - 2*q - 3*b - 9, -3*b + 3 = -q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 526813 is divided by 586?\nAnswer: 585","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1265, 2529, 3793, 5057, 6321?\nAnswer: 7585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 46735.09 nanometers?\nAnswer: 0.004673509","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seven thirds of a day in minutes?\nAnswer: 3360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m + 227 = -601. Suppose -2*o + 8 = 12, 3*v - 316 = 2*o. Let y = v - m. Solve -5*b + y = -b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3*q**3 + 3*q**2 + 352*q - 2091. What is m(6)?\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, r: 1, x: 1, q: 1, c: 3}. What is prob of picking 1 c, 1 q, and 1 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 263, -226, 2, -107\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-2)\/3)\/2 + (-884263)\/(-42402). Let h = v - 4\/191. Find the common denominator of h and 53\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three eighths of a micrometer?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 153265 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 10, s: 4, o: 4, w: 2}. What is prob of sequence soso?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c - 9 + 3 - 7 + 0*c. Let y be d(-16). Find the first derivative of 10*o**2 - 19 + 22 + y*o**2 wrt o.\nAnswer: 26*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*a - 34 = 0, -r + 1 + 28 = 3*a. What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/28)\/(144555\/(-16760))?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*y + 50641 + 117043. Is y a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*u - 0*u - 4, 5*u = 5*s + 300. Let g = 82 + s. Suppose g*b = 18*b + 2245. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 3, t: 2, a: 3, e: 3, o: 2}. Give prob of sequence toep.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 60 = -2*d, -5*d = -0*t + 4*t - 186. Suppose 2*m - 7*m + g + 85 = 0, 2*m - g = d. Does 17 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85786640 rounded to the nearest one million?\nAnswer: 86000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200022200020112 (base 3) to base 8.\nAnswer: 45110774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/5? (a) 1.873 (b) -2\/11 (c) -1 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 4*o = 0. Suppose -4*p + 22 - 2 = o. Calculate the remainder when 140\/(-15)*6\/(-4) is divided by p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1642 bigger than 1580?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 12) to base 14.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -4. Let z = 498 + -3492\/7. What is the nearest to 4\/5 in z, r, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 219301169?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 7:44 PM?\nAnswer: 8:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294629, -294601, -294573, -294545, -294517?\nAnswer: -294489","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 4, v: 1, d: 2, m: 3, e: 1, g: 1}. Give prob of picking 1 m, 1 g, and 2 x.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(931) + 5)**2 + -3*sqrt(2736)).\nAnswer: 68*sqrt(19) + 1912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 36563613 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00463743 rounded to 4 decimal places?\nAnswer: 0.0046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 54\/135*-10*1\/62.\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -236 + 238. Solve 14 = -k*g + 22 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17157 + 17155. Put w, 5, -1, -6, -19 in increasing order.\nAnswer: -19, -6, w, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 5) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 24*d + 2. Let z(j) = 145*j - 7. Let n(q) = -4499*q + 220. Let r(g) = -6*n(g) - 187*z(g). What is -22*h(y) - 4*r(y)?\nAnswer: -44*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 6*g + 1. Let z be p(-4). Let j(v) = 11*v + 8. Calculate the remainder when j(z) is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -2\/11, 15.715, -3.3, -2\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 0*j + 3*j + 35 = 0, 2*d - 5*j = 70. Let h = -28 + d. Solve 3*w - 3*i - 11 = w, -4*w + i + h = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -47171\/7 + 6741. Factor -f*k**2 + 2\/7*k**5 - 4\/7 - 2*k + 4\/7*k**4 - 4\/7*k**3.\nAnswer: 2*(k - 2)*(k + 1)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 930022 to the power of 1\/2, to the nearest integer?\nAnswer: 964","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, x: 8, e: 2, p: 5}. Give prob of picking 2 p.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (307*d**4 + 195*d**4 - 143*d**4)*(-2*d + 5 - 5) + 2*d**5 - d**5 + d**5.\nAnswer: -716*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 596977, 597693, 599643, 603445, 609717, 619077, 632143, 649533?\nAnswer: 671865","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -2*f - 3*k - 1, -4*f - 5*k + 41 = 0. Determine b so that -225*b**3 - f*b**2 + 231*b**3 - 9*b**4 + 13*b**2 - 6*b = 0.\nAnswer: -1, 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 716 and 6?\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -224*r - 1\/6*r**2 + 1345\/6.\nAnswer: -(r - 1)*(r + 1345)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112071 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**5\/7 - 226*m**4\/7 + 1250*m**3\/7 + 132386*m**2\/7 + 260108*m\/7 + 129200\/7 = 0.\nAnswer: -19, -1, 34, 100","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(228) - -3*sqrt(228)*1)\/((3*sqrt(72) + sqrt(72))\/sqrt(6)))**2*-1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -513*l + 550*l - 199 = 2*j - 2, -3*j + 3*l - 33 = 0 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:27 PM and 3:26 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -26, -36, -58, -98, -162, -256, -386, -558?\n\"Answer: -w**3 - 3*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 1 = 16. Suppose 4*v = 3*v + 9. Let g(r) = r**2 - 8*r - 6. Let s be g(v). Solve 0 = -s*k - 2*b - 14, 0*b - j*b = k + 9 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*p - 29*s + 26*s - 21, 5*s = -3*p - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -213*z + 214*z - 102. Let u = -101 + z. Solve 3*d - 21 = -5*g + 7, -4*d = -g + u for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -79*q = 246 + 70. Sort 12, 13, -1, q in decreasing order.\nAnswer: 13, 12, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186043 is divided by 816.\nAnswer: 811","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 388, 9, -32 in ascending order.\nAnswer: -32, 9, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -431 + 431 + 3*h**2 - 3*h to the form n + i*h**2 + w*h and give i.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 - -11101100100010011101?\nAnswer: 11101100100010010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 17*f + 21. Let a(c) = -2*c**2 - 69*c + 263. Let k be a(-38). What is n(k)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4932 and 0.3?\nAnswer: -1479.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 273*l**2 - 2044 + 2044 + (-6*l + 4*l + l)*(0*l + 0*l - 4*l) - 3*l**2 + 0 + 0 - 2*l**2 - 2 + 2 in the form a*l + j + h*l**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-18)*u*u**(-1\/63)\/u*u)\/((u*u**(-23)*u)\/(u\/((u\/u**(-13))\/u*u))) assuming u is positive.\nAnswer: u**(-568\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 144531523 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*6\/1)\/((-30)\/220*-11).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11107632 divided by -8\nAnswer: 1388454","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -95440360 to the nearest one million.\nAnswer: -95000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 16 = p + p, -5*h = -2*p + 20. Let o = -155 + 157. Put o, -1, h, 3 in ascending order.\nAnswer: h, -1, o, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + 19 = 7 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of i**6\/36 - 13*i**5\/120 + i**4\/8 - 5*i**3\/3 - 7. Let z(j) be the third derivative of v(j). Let z(r) = 0. Calculate r.\nAnswer: 3\/10, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-3 + 1 + 3)*(943*v + 557*v + 306*v + 1250*v).\nAnswer: -6112*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 69443?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-1\/10)\/a)\/(a*(a**(-6\/11)*a)\/a*a)*a*a\/(a**1*a*a)*a*a**0*a)\/(a**16\/(a**(-1)*a*a))**(-1\/10) assuming a is positive.\nAnswer: a**(-3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/1)\/(-11 - -10). Let p(w) = 2*w**2 - 7*w + 11. Let m(q) = q**2 - 3*q + 5. Let x(l) = d*p(l) - 9*m(l). Determine x(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 16. Let t be (-2036)\/(-32)*g - 1\/(-4). Let m = t - -191. What is m rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2, -5, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*g + 21 - 10, -4*g + 13 = -y. Let p be y + -26497 - (-2 - -4). What is p rounded to the nearest 1000?\nAnswer: -27000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000001417474956 rounded to seven dps?\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(22) - sqrt(66)\/sqrt(3))*-4 - sqrt(176)\/sqrt(128))\/(-2*sqrt(55)\/sqrt(5) + (sqrt(55) + sqrt(880))\/sqrt(5)).\nAnswer: sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.73 + -29.73. Which is bigger: -0.067 or c?\nAnswer: -0.067","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = 88*l + 33. Let k(j) = -43*j - 13. Give 5*k(n) + 2*y(n).\nAnswer: -39*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 78*f - 73*f = 52185, 4*a - 2*f = 52206. Is 50 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -56 and -56 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6*((-30)\/(-12))\/(-5)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c + 0*c - 31810*c**3 + 31761*c**3.\nAnswer: -49*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 104160 divided by 1085.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-13)\/(-20) - (-7)\/(-28). Put 0.2, 0.3, m in increasing order.\nAnswer: 0.2, 0.3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -48*v**4 - 8*v - 2*v**3 - 3*v**2 + 98*v**4 - 49*v**4 as m*v**4 + c*v**3 + g + a*v + t*v**2 and give t.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 11:31 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 527? (a) -0.2 (b) 0.4 (c) -1 (d) -3\/4 (e) -43.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1080 = 7*p - 37*p. What is the lowest common multiple of 207 and p?\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -36276, -12.\nAnswer: -36276, -12, 0.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 6*a**2 + 66*a + 15. List the prime factors of g(12).\nAnswer: 3, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138012 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 17*a**3 - 9*a**2 + 177. Let s(b) = 26*b**3 - 14*b**2 + 265. Let r(f) = -8*d(f) + 5*s(f). Find the first derivative of r(v) wrt v.\nAnswer: -18*v**2 + 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-156)\/1248)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -5*q**3 + 366370*q**2 - 6730724320*q + 709346199680 = 0.\nAnswer: 106, 36584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 228645713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 37 + 12 = -5*l, 0 = -2*t for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -3*l**2 - 67839*l + 1561884 = 0.\nAnswer: -22636, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -j - 5*c - 18, 11995 = 7*j + c + 12019 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 12 = 4*n - 6, -n - 3*c = -8. Suppose n*f - 2 = 3. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*g - 3*z - 6, 3*g - 10 = -0*z + 5*z. Suppose -4*c = -9 + 13. Let s be c\/((189\/6)\/(-7)). Which is greater: s or g?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1447147079 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -94\/12705 and -137\/1120460.\nAnswer: 23529660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b**2 - 4*b + 4*b + 3*b)*(-297 + 297 - 23*b**2) to s*b**3 + h + k*b + t*b**4 + p*b**2 and give s.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95681847?\nAnswer: 3, 2423, 13163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 20 + -10. Let n(k) = 3*k**2 - 3*k + 3. Let w(l) = 7*l**2 - 5*l + 6. Let a(y) = -15*n(y) + 6*w(y). What is the smallest common multiple of r and a(4)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5178*g**2 - 451*g + 5176*g**2 - 4 + 4 + 451*g.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - d. Let b(f) = 32*f**2 + 5*f. Give -b(p) - 5*r(p).\nAnswer: -37*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 42 - 88 + 41 + 5*g**2 + 36*g. Let t be a(-7). Which is greater: -10 or t?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (45\/(-60))\/((-36)\/480).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-33 - -32)) + -5 - (-111 - 5).\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -14*f - 6*f - 21*f - 164 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5286001 - -4.\nAnswer: 5286005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v + 70 = -2*v. Is 9 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -2*x**2 + x + 8. Let a be t(0). Calculate the common denominator of (-69)\/2 + a + -2 + -4 and -23\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -3, 0.3, 1\/7, 34?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -70*l**2 - 80*l**2 + 150*l**2 - 3*l**3.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence whwz when four letters picked without replacement from {w: 7, i: 4, y: 3, h: 4, z: 1}.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 376638, 377930, 379236, 380562, 381914, 383298, 384720, 386186?\n\"Answer: v**3 + v**2 + 1282*v + 375354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4*(sqrt(384) + (sqrt(384)*-2 - sqrt(384)) + sqrt(384) + sqrt(384))\/sqrt(8) + (sqrt(336) + ((sqrt(336) + sqrt(336)*-3)*5 - sqrt(336)))\/sqrt(7).\nAnswer: -40*sqrt(3) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52321527 is divided by 2702.\nAnswer: 2701","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 2*i + 4. Let c(u) = -u - 2. Let p(r) = 9*c(r) + 4*m(r). Let f be p(-7). Factor 0*z**3 + 0 + z**2 - z**4 - 1\/2*z**f + 1\/2*z.\nAnswer: -z*(z - 1)*(z + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54 is divided by 25?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 23168 > -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 21950677 + -6906520\nAnswer: 15044157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 2934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1356*k + 4734 - 10914 = -4393*k + 9005 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10100011 + -100100101111001?\nAnswer: -100100011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = d**3 + 6*d**2 + d + 6. Let h be i(-6). Let r be (87 - 1) + (h - 0). Let q = r + -51. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13101032022 (base 4) to base 11.\nAnswer: 1091735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/2*22*(-3700)\/2035\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -115, -214, -299, -364, -403, -410, -379?\n\"Answer: g**3 + g**2 - 109*g - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 17*m + 0*m + 29*m - 10*m. Let z(h) = 4*h. Let y(v) = 3*t(v) - 28*z(v). Let p(r) = -2*r**2. Calculate y(p(a)).\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -784 - -809. What is the remainder when 128 is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 22*z + 64*z - 9*z to c*z + m and give c.\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6507102.\nAnswer: 2, 3, 7, 22133","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254584 (base 12) to base 11.\nAnswer: 386676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27\/64, 2077 in descending order.\nAnswer: 2077, 0, -27\/64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106903?\nAnswer: 106903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -60.68 - -61. Let r = 0.02 - g. Which is the nearest to -0.01? (a) -5 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2737, -2741, -2747, -2755, -2765, -2777, -2791?\n\"Answer: -h**2 - h - 2735","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + m = 10. Let o(z) be the third derivative of 7*z**4\/24 + z**3\/3 + 8*z**2 - 4. Is o(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11372, 44417, 97438, 168755, 256688, 359557?\nAnswer: 475682","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*v - 9408 + 1946 - 8814 = 297*v for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 52 in 0.3, -66, 3, 2\/9, 4\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ze when two letters picked without replacement from {a: 2, e: 1, p: 1, z: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 152, 145, 118, 59, -44?\n\"Answer: -2*o**3 + 2*o**2 + o + 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9320 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 874 is divided by 172.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1045699957 to the nearest integer?\nAnswer: 1015","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9201.81 - -9247. Let g = -45 + y. Let t = g - 0.92. What is t rounded to 1 decimal place?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n - 5. Give g(-7).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5.49*394.\nAnswer: -2163.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/10 - 1\/2. Let k(y) = y**3 + 3*y**2 - y - 1. Let c be k(-2). Let a be (2\/(-10))\/(c\/(-10)). What is the closest to q in 5, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*o**4 + 3*o**4 - 3*o**4 + (-4 + 2 + 4)*(o**4 + o**4 + 6*o**4) to p*o**2 + b*o**4 + d + x*o**3 + g*o and give b.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 53, 355, 1183, 2813, 5521, 9583?\n\"Answer: 46*r**3 - 13*r**2 + 19*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35*(-4)\/(-4 + 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 547 minutes after 11:05 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 94113 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 675709 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 72*j**3 + j**2. What is the units digit of c(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 - 4*v**5 + v**5 + (2*v**2 - 2*v**3 - 2*v**2)*(-3*v**2 - v**2 + 3*v**2) - 49*v**3 + 49*v**3 + 3*v**5 + 2.\nAnswer: -2*v**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: 5876969160+0.2\nAnswer: 5876969160.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 7 = 2*z, -v = -2*z - 5 + 16. Suppose 0 = m + z*w - 240, -8*w - 1229 = -5*m - 4*w. Calculate the highest common divisor of 105 and m.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 38, 56, 70, 80?\n\"Answer: -2*g**2 + 24*g + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - (-51 + -40 - -51).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/20 - (-14)\/10. Suppose g = 2*a - 2. Suppose -2*n + a = -n. Solve -2*s = n*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 66\/1 - (19 + -11 + -12). Let d be ((0 - 2)\/4)\/(14\/(-1400)). What is the greatest common divisor of d and p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/12 - 92\/(-21). Suppose 2*q + 3*q = 4*x - 1265, -2*q + 2*x = 504. Let y = 262 + q. Which is smaller: y or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3178*i**2*n*y + 30*i**2*n - 10*i*n**2 - 3*i*n - 2*n**2*y wrt y.\nAnswer: -3178*i**2*n - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3209 is divided by 319?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ucuqqcuuuccuvuu. Give prob of sequence uu.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -2*j**2 - 62*j - 101. Let h be d(-29). Suppose h = 8*b - 17. Solve 0 = m - b*m + 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49*i - 109 = 6*i + 166. Which is the fifth smallest value? (a) 1 (b) 0.3 (c) -0.1 (d) i (e) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80868528 a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*g = -44*g - 8. What is the tens digit of (-2306)\/g + -9 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*f**3 - 5*f**4 + 8*f**3 + (f + f + f)*(-f**3 + f**3 - f**3) as c*f**3 + y*f + g*f**2 + x*f**4 + s and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 81008 to the power of 1\/2, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11001100101010011 (base 2) to base 4.\nAnswer: -121211103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aaapppaaaaa. Give prob of picking 3 a.\nAnswer: 56\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 185*t. Let d(i) = i. Determine z(d(g)).\nAnswer: 185*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 146058 is divided by 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 42 - 29. Let u be ((-6279)\/14)\/((-36)\/8 - -4). What is the highest common divisor of l and u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -294638.\nAnswer: 147319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -14 - -10. Let h be 1\/2 + 25\/10. Put s, 0, h in decreasing order.\nAnswer: h, 0, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 2 = -8. Suppose -l*c - 11 = 4*m - 7*c, -m + c - 2 = 0. Solve -3 = z - m for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3 = -0*v. Let n be 2\/(v\/120*2). What is the highest common divisor of 20 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 867468 and 26395812?\nAnswer: 184770684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -52290*t*x**3 - 15*t*x**2 + 572281*t*x + 24*x**3 - 2*x**2 - 61 wrt x.\nAnswer: -313740*t*x - 30*t + 144*x - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 + 209 = -3*f. Let h = 182 + f. Let t = 163 - h. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -43203 - -144303?\nAnswer: 101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -25\/2. Let t = s + 1\/6. Let 4\/3*n**2 - 4\/3*n**4 + t*n**5 + 0*n**3 - 2\/3*n + 0 = 0. Calculate n.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32553 = 44*o - 41*o. Suppose -29*m + o = -9420. What are the prime factors of m?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -87.548 and -4.1.\nAnswer: 358.9468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*o - 26*o + 5*a - 5 = -46*o, 2*o + a - 24 = -11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(5) - ((sqrt(80))**2 + 5) - sqrt(5)) + -2.\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7544 is divided by 77?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 5:02 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*110598\nAnswer: -7741.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.03 in -0.1, -0.5, 0, -28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 3*p = -3286, -753 - 1719 = -3*l - p. Calculate the greatest common factor of l and 1534.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-4)\/80*-5 - 14\/(-8). Suppose -79 = -j*s + 3*o, -2*s + 147 = 2*s + 5*o. Calculate the greatest common factor of 418 and s.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*k = -339*k - 1590. Let w(v) = v + 1. Let u(x) = 53*x**2 - 159*x - 159. Determine k*w(y) - u(y).\nAnswer: -53*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10008)\/7784*(-3)\/((-9)\/(-14))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -x - 5*j, 3*x - 2*x - 6 = j. Suppose -2*m - 469 + 2459 = 0. Suppose x*u - 4*u - m = 0. List the prime factors of u.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 - (-4329)\/396)\/(-6 - (-282)\/48).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*y - 11*y - 6*y**2 - 8*y.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/586 and 27\/44.\nAnswer: 12892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c9 - f5d00?\nAnswer: -f5c37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -59091 in -3\/2, 1.6, -0.03?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 9\/12)*4. Let g be 1 + 2 + -2 + l. Suppose g*o - 5 = 3. Calculate the remainder when 4 is divided by o.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -244*c + 4 = 3*q - 245*c, -2*q + 2*c = -4 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12 - 2) + (20 - (7 - -14))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**3 + 3*b**2 + 2*b + 4. Let m be h(4). Let q be -5*2\/(-10) + m. Is (q\/6 + 1)*614 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -266 (b) -4 (c) 820\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ftttjetltfettfjcjj. What is prob of picking 1 f, 1 j, 1 l, and 1 t?\nAnswer: 7\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, n: 1, y: 1, x: 2}. Give prob of sequence na.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 234*v*x**2 + 82*v - 4*x**3 + 6 with respect to x.\nAnswer: 468*v*x - 12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 + 67 + 16)*(0*z - 2*z + 0*z).\nAnswer: -144*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l**2 + 2*l**2 - 4*l**2)*(-1 + 1 + 3*l)*(l**2 - l**2 - 2*l**2).\nAnswer: -18*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and (-15240)\/(-381) - (-1 - -6*1)?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1318900)\/(-19184) + -10*2\/(-16).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/18 - (-393655)\/(-22401) - -18.\nAnswer: -1\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121200 (base 3) to base 14.\nAnswer: -242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acfqycfasqqayy. Give prob of picking 1 f and 1 s.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 3, 25, 104?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.31462 rounded to 2 dps?\nAnswer: -7.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*q + 23329 - 24231 for q.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 158 = 2*m + 37*l - 127, -4*m - 2*l + 156 = -54 for m.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -7139*r + 7138*r + 2*m, -4*r + 3*m = 24 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/(-90))\/4*25\/5\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(252) + -1 - -4*(sqrt(252) - (0 + sqrt(252))**2))*5 + -2.\nAnswer: -5072 + 150*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5*r**4 - 16810*r**3 + 14179100*r**2 - 84470520*r = 0.\nAnswer: 0, 6, 1678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76)*2*-1 - sqrt(133)\/(1*sqrt(7)*-2))**2.\nAnswer: 931\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -86*v**4 - 9*v**2 + 0*v**3 - 4*v**3 + 1 + 7*v**2 to the form c + f*v**3 + a*v**2 + z*v + g*v**4 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216*b - 25 - 62 + 231*b - 10*b.\nAnswer: 5*b - 87","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -121011 (base 5) in base 2?\nAnswer: -1000110011010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 4397 = 4*x - 160, 0 = 8*q - 2*x - 6788. Which is smaller: q or 866?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three tenths of a milligram?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 7, m: 1}. What is prob of sequence ff?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 7, o: 3, n: 5, i: 1}. Give prob of sequence nni.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-6)\/(-4) + (60 - -1). What is the greatest common factor of 145 and o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 1)*(10*d - 17*d + 2*d) + 0*d + 0*d - 2*d + 5*d - 2*d - d + (-3 + 2 + 2)*(3 + 2*d - 3).\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 87672 a multiple of 78?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -21175 or -21173?\nAnswer: -21175","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -74. Is 2\/8 - ((-5313)\/c - 2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37*a - 39*a = 2*d - 8, -2*a - 5*d + 14 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d + 17. Let j(n) = -16*n - 33. Let q(w) = -4*j(w) - 9*t(w). Calculate the smallest common multiple of 21 and q(-4).\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*1*6)\/(sqrt(6)*-1*-2 - sqrt(6)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m - 2*m)*(-2*m**3 + 1 - 1) + (-4*m + 4*m + m**2)*(3*m**3 + m**3 - 6*m**3 + (m + 5*m - 5*m)*(5*m**2 - 7*m**2 - 9*m**2)).\nAnswer: -17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 1) + (2 - (-2 + 3))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = f + 1. Suppose 4*g - 2*g = -2*y + 10, 4*y + 36 = 3*g. Let h be (0*f\/g)\/(-4). Do -1 and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2025771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1936227847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 - 64. Let x(q) = j*q**2 - 10*q**2 + 3*q**2 - 8*q + 6. Determine x(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(27) + (sqrt(108)\/sqrt(4) + sqrt(27))*1 - (0 + sqrt(75) + sqrt(75) - sqrt(3) - (-1*sqrt(6))\/sqrt(2))))**2.\nAnswer: 8*sqrt(3) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -58, -6, -1 in increasing order.\nAnswer: -58, -6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/27? (a) -5 (b) -0.1 (c) 1 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18.81 - 22.71. What is the closest to b in 2\/5, -12, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28613385?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1340544 - 33?\nAnswer: 1340511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*l - 3*d - 144, -1586572 = -4*l + 3*d - 1586476 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 - 1b5?\nAnswer: -1ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-66)\/(-8))\/(39\/884).\nAnswer: 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1280594836 divided by -1?\nAnswer: -1280594836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 15. Which is the closest to 1\/2? (a) 0.11 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -48083611720*f**3 + 24041805860*f**3 + 24041805862*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 3*j + 14 = 0. Suppose -5 - 10 = 3*q. Sort j, -4, q in decreasing order.\nAnswer: j, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c - 2. Let w(v) = 2. Let x(q) = -q**2 - 16*q - 43. Let k(a) = -4*a - 5*a + 4*a - 1 - 7*a. Let o be k(1). Let b be x(o). Give b*w(d) - 3*s(d).\nAnswer: -3*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*r + 6*r + 24 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, m: 1, j: 11}. Give prob of sequence vmj.\nAnswer: 11\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -1 - ((42 - 102) + 39)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416238.\nAnswer: 2, 3, 173, 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 3 m when four letters picked without replacement from {m: 1, i: 1, c: 2, h: 3, a: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:18 AM and 12:14 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 98 + -64. Suppose 0 = 9*a + c - 61. Solve -a + 8 = -f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 36 = -22*a, -1299*a - 5*u = -1318*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 512 is divided by 770\/66 + ((-4)\/2)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37 - -40. Is 23 a factor of (1\/a)\/(7\/966)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 45 = 153. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -41, -64, -87, -110, -133?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5*(-2)\/(-25))\/((-69)\/(-15))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 35447912 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -470*r + 425*r = 617*r + 11254 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the second derivative of 7\/6*w**4 + 9 + 0*w**2 - 77\/20*w**5 + 2*w + 0*w**3. Find the third derivative of x(k) wrt k.\nAnswer: -462","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = 0, -2*k - 294 = -5*h - 4*k. What are the prime factors of ((-54)\/5)\/((-18)\/h)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.57 + 0.57. Let t be 2\/(-6) + (-7)\/(-12). Which is the nearest to x? (a) t (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**6\/120 + b**5\/15 - b**4\/12 + b**3\/6 + 2*b**2. Let q be r(3). Suppose 9*f + 29565 - 29574 = 0. Sort q, -3, f, 2.\nAnswer: -3, f, 2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-54 + (8 + 7 - 3))\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -18290716 and -4?\nAnswer: 73162864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.849703 to two decimal places.\nAnswer: -19.85","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of -426 and -0.4.\nAnswer: 170.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-32)\/(-4))\/8*4\/4*25.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5350?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 0.4, -1, 1\/11, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1535844168 to the power of 1\/4, to the nearest integer?\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 + 11*m**2 + 10*m + 2. Let t be h(-10). Let c(u) = -2*u + 2. Let x be c(-1). Let r be (t - 2) + x + 1. Sort -3, -2, r in decreasing order.\nAnswer: r, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + p + 11 = 5*p, -2*t - p - 11 = 0. Let v(n) = -7 + 2*n**3 + 4*n + 0*n**3 - 3*n**3 + 2 - 3*n**2. Is v(t) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m + 2*m + 2*m**3 - m + m - m**3 - m**3 + 3*m**3 + 0*m**3 + (-3*m**2 + 3*m**2 - m**2)*(-3*m + m + 0*m) - 2*m**2 + m**3 + 2*m**2.\nAnswer: 6*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 9*h - 8. Let i be c(10). Let q = 147 - i. Suppose -2*z + 97 = -q. Is z a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -216, -264, -344, -456?\nAnswer: -600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1958.1 - 12?\nAnswer: -1970.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/6)\/(4*4\/24).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10 + 8789\/(-1100) - 15\/10 and -7\/544?\nAnswer: 13600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 177*d**3.\nAnswer: 177*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/890774 and 131\/1644.\nAnswer: 5344644","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20 + 37 + 13 + -41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5553\/10 - 549. Calculate the common denominator of 10\/65 - -865*3\/117 and s.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 3*b = 4*b - 1, -27 = -2*t + 3*b. Is t less than 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -247*j**3*r**3 + 2*j**3*r - j**3 - 788*j**2*r**3 - 3*r**3 wrt j?\nAnswer: -1482*r**3 + 12*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2633029141 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 128 and 57344?\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 29*a + 148. Let o be 3\/2*3 - (135\/(-18))\/5. Calculate q(o).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 9*i**2 + 2*i - 1. Let l be 10\/(-5) - (0 + -6). Suppose -9 = -3*a - 2*f, -2 = l*a - f - f. What is the smallest common multiple of a and w(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -27 in 3, -9, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 5:59 AM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 4\/(-10) - 508\/280 and 59\/(-14) - (-18)\/(-63)*14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 15 + 90*m + 15 + 38 - 17.\nAnswer: 90*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 9*y**3 - 3*y**2 + 13*y - 7. Let x(b) = b + b - 4*b**3 - 8*b + 0*b**3 + 4 + 2*b**2. Let m(u) = 3*q(u) + 7*x(u). What is m(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8234 + -5227. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cci when three letters picked without replacement from dcbdbbibcdbbbdbbci.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 >= -7\/33144?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the first derivative of -c**4\/4 - c**3\/3 - 1. Suppose 20 = -7*z - 15. Let d(s) = s**3 + s**2. Give z*b(u) - 4*d(u).\nAnswer: u**3 + u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 9 - 4. Suppose 3*v + n - 44 = 1, 3*n + a = v. Let j be 62\/v + 9\/(-21). Let c(g) = -3*g + 5. Calculate c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, 1.6, 13, 0.3, -3\/4 in decreasing order.\nAnswer: 13, 1.6, 0.3, 0.06, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of y**7\/21 - y**5\/30 - y**4\/2 - 2*y**2 + 14. What is the second derivative of b(q) wrt q?\nAnswer: 120*q**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002355 rounded to four dps?\nAnswer: 0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0, -89, 86 in decreasing order.\nAnswer: 86, 4, 0, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357 + -355. Let j(x) be the third derivative of 0*x + 1\/6*x**4 + 0 - 4*x**r + 0*x**3. Let b(i) = 3*i**2. What is j(b(k))?\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -26\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (257*f - 38*f + 42*f + 7*f + 273*f)*(-4*f - 2*f + 5*f)*(14*f + 137*f + 7*f) to the form q*f + r + c*f**3 + b*f**2 and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -70*f**3*y**3*z + 268*f**3*y**3 - f**3*y*z**2 - 118*f**3 + 4*f**2*z + 6158256*f*y**3*z**2 wrt z.\nAnswer: -2*f**3*y + 12316512*f*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -394 + 722. What are the prime factors of v?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m**2 - 260556*m - 260560 = 0. What is m?\nAnswer: -1, 65140","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 180305, 362280, 544257, 726236, 908217, 1090200, 1272185?\nAnswer: 1454172","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = 4*i + 6*o, -1272 + 1263 = i - 2*o for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-81)\/(-6)*(-2)\/(-3). Suppose 2*w + z = 1 + h, -12 = -3*z. Suppose 3*m + w*s - 12 = 12, 4*m - 8 = 4*s. Put -3, m, -6 in ascending order.\nAnswer: -6, -3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.4*34404690\nAnswer: 13761876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b - 5. Calculate a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -8*h**2 - 8154*h. Let c(a) = 8*a. What is v(c(o))?\nAnswer: -512*o**2 - 65232*o","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Does -24883 = -25504?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*j - 6*l + 15, 0 = j + 2*l - 10. Find c such that 0*c**4 + 0 + 0*c + j*c**2 + 2\/13*c**5 + 0*c**3 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*o + 26*o + 35 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i + 3*v + 29, 4*v = -2*i + 3*i - 28. Let d = i - -13. Suppose 4*x + 5*u - 27 = -0*x, -5*u = -5*x + d. Solve 4*k + x = -12 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1678\/158677?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 6*f - 2. Let w be x(-7). Suppose -4*g - 3 = 5*c - 7, g = 4*c - 20. Solve -5*d + c = -5*h - 3*d, -2*d = w*h - 4 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1186, -22, 2, 0, -1, -7 in descending order.\nAnswer: 1186, 2, 0, -1, -4, -7, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -2*w**3\/13 + 196*w**2\/13 - 4600*w\/13 - 10000\/13 = 0.\nAnswer: -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 134 - 132. Solve -s - 6 = a*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 5*y - 6 = 36, q - y = 12. Let l be ((-6)\/3)\/(-1 + 3\/q). Let m(v) = 44*v**2 - 2*v - 1. Is m(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*q, -4*t + 0*q + 3*q + 776 = 0. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 440528478.\nAnswer: 2, 3, 13, 5647801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 1.2*26.7\nAnswer: 32.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/351*9*15?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -9. Suppose h - 2*z - 2 = 0, -4*h + 3*z - 25 = 6*z. Let t = h - -9. What is the remainder when i is divided by t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**2 - 18*b + 27.\nAnswer: 3*(b - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 1344.\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 43 + -65. Let t = -31 - -66. Let b = t + j. Calculate the remainder when 25 is divided by b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*v**5 - 40860*v**4 + 2383820*v**3 - 23741010*v**2 - 317841975*v - 672185250 = 0. What is v?\nAnswer: -8230, -5, -3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.29 + 0.11. What is the nearest to 0.1 in -0.5, h, 1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 11. Which is the closest to 0.1? (a) -0.4 (b) -1\/6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2219, -4441, -6675, -8927, -11203, -13509?\nAnswer: -15851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10 - 3. Let y = 190 + -164. What is the remainder when y is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2703\/(-16218))\/((-2)\/(-18))*(-2)\/(-72)*-1.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 3*h - 168 + 57 = 0, 213 = 4*s - 3*h. Let i be 9\/4*680\/s. Let m be (3\/(i\/(-8)))\/(8\/(-2400)). What is the greatest common divisor of 30 and m?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1013a9 (base 12) to base 3.\nAnswer: 110202110210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 81, 10, -808 in descending order.\nAnswer: 81, 10, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 173*o**2 + 3855*o - 5742. What is c(-28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 84261 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.3, 2\/19, 1\/3, 22\/7, 5\/2, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes before 2:12 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 14) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:08 AM and 1:16 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of 1\/220*n**6 - 1\/165*n**5 + 0*n**4 + 0 + 7*n**2 + 0*n**3 + n + 1\/231*n**7. Suppose z(g) = 0. Calculate g.\nAnswer: -1, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 63. Let d = -52 - f. Suppose -d*j - 4*q + 4190 = -2*j, 0 = -4*j + 2*q + 8400. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (244\/3)\/((-2)\/(-6)). Determine m, given that m**2 + d - 244 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 1)*(-21 + 2*h + 21 - 3*h + 8*h + 2*h + (0 - 2 + 1)*(-7*h - 37 + 37)).\nAnswer: 32*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/21 (b) 1 (c) 0.04 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -38, -63, -90, -119, -150?\n\"Answer: -y**2 - 22*y - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76*l**2\/9 + 1070*l\/9 - 1232\/3 = 0. Calculate l.\nAnswer: 231\/38, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*r**2 + 11 + 7*r**2 - 12 to x + g*r**2 + j*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**2 + 15*r - 16. Is v(11) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09493 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*z = -5*b - 8*z - 8, -2*b + z - 2 = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -47663*r**6 - 5369*r**2 + r wrt r.\nAnswer: -5719560*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(-16)*79360\/54560?\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and -0.086?\nAnswer: 3.914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8519 is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17556 divided by -4.\nAnswer: 4389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-119))\/(((-640)\/7820)\/(-32))\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3382 - 0.48.\nAnswer: 3381.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 937 is divided by 151?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**2 + 2*w - 6. Let c be f(0). Let i(d) = -2*d. Let p(v) = 2*v. Let q(s) = c*i(s) - 5*p(s). Let z(o) = -2*o. Calculate z(q(b)).\nAnswer: -4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = 2*j + 22, -l - 29*j + 28*j = 9 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j - 45 = 5*j. Let s = -1331 - -1367. Calculate the highest common divisor of j and s.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:59 AM and 3:37 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 6*i + 4. Let s be (-3)\/(-3) - (126 + 2\/2). Let j = 130 + s. Calculate b(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 3)*(1297*s - 58 + 33*s**2 + 58 - 1295*s).\nAnswer: 66*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m = 3*o - 1, 0 = -o - 0*m + 5*m + 27. Suppose 3*n = o*n. Suppose -5*c + 4*y = -n*c - 55, y = -c + 20. Is c a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 5*h + 35, -5*g + g = -h - 25. Suppose -5*l = -l + 4*t - 44, -4*l - g*t + 49 = 0. What are the prime factors of l?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -14, -54, -132, -260, -450, -714, -1064?\nAnswer: -1512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2, 3\/4, -3\/4, 4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 93673112 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/2 and -203\/2340.\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-20) + (-15)\/((-1950)\/3263). Solve 25*c - 50 + b = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 59*t**3 + 15*t**2 - 45*t + 3. What is the smallest common multiple of x(3) and 171?\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.51 rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4*4\/168*-3. Sort -1, -297, 1, k in ascending order.\nAnswer: -297, -1, k, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m - 867*m**3 + 900*m**3 + m.\nAnswer: 33*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**4\/4 - 11*h**3\/2 + 3*h**2\/4 + 360*h - 675.\nAnswer: -(h - 6)*(h - 2)*(h + 15)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -3631\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1.83015l?\nAnswer: 1830.15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 8) to base 13\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -359*z - 25786 = 176*z + 138*z - 1558 for z.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + 12)\/(6\/3). Suppose j*r + 17 - 185 = 0. Suppose -r*p = -30*p + 168. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -7641.98259 + -0.01741. Let m = -7642.0049915 - z. Let k = m + 0.005. What is k rounded to 5 dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.1 and 1111187624.16.\nAnswer: 1111187624.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u + 3. Let k(n) = n + 3. Let a(i) = 6*k(i) - 7*p(i). Let m be a(-7). Suppose 357 = m*d + 3*d. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p**5\/3 + 54*p**4 + 3862*p**3\/3 + 7834*p**2 + 13320*p = 0. What is p?\nAnswer: -37, -36, -5, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 186, 206, 262, 372, 554, 826?\n\"Answer: 3*j**3 - j + 184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(2\/15)\/c**(-5\/3)*c*c**(-6\/7)*((c**7\/c)\/c)\/c*(c**(-15)*c**(-1\/3))**(-37) assuming c is positive.\nAnswer: c**(60194\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of 11*f**7\/630 - 31*f**6\/360 - f**5\/30 - 117*f**2. Determine h so that g(h) = 0.\nAnswer: -2\/11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f + 2*p - 4, 4*f + 7*p = 2*p + 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 10101100010011 (base 2) in base 11?\nAnswer: 8315","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 116957?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3\/(6\/(-4)))\/2. Let q be (0 - w)*(1 + 3). Suppose 0 = q*b - 23 - 5. What are the prime factors of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1540, -1501, -1460, -1417, -1372, -1325?\nAnswer: -1276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -172, -330, -488, -646?\n\"Answer: -158*g - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c. Let m(g) be the second derivative of g**3\/3 - 8*g. Determine m(b(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 - 3*t**2 - 7*t + 8. What is x(4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17 - 118 + u**2 + 27 - 6*u**2 - 92 to the form c + d*u**2 + h*u and give d.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -15. Let b(a) = -a + 18 - 31 - o*a**2 + 17 + a**3. Determine b(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 94 - 93. Put -0.5, t, -4, -1\/4 in descending order.\nAnswer: t, -1\/4, -0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -5*n**2 - 6*n - 5. Let g = 142 - 233. Let r be 3\/(-2) - (g\/14 + 6). Let q be p(r). Which is the second biggest value? (a) -8 (b) q (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of (-60505)\/(-2) + ((-148)\/(-8) - 18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -71372.8 to the nearest ten thousand.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.05022 + -1.018. What is g rounded to three decimal places?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 855?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**4 - 24595979*v**3*x - 11*v**2 + 3*v*x + 861*v + 71*x wrt v?\nAnswer: 24*v - 147575874*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13271031.68994 + 13272097.7. Let j = 1066 - v. Let d = j + 0.01. Round d to five dps.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 691 + -671. Calculate the remainder when 296 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/(r\/(r*r**(1\/5))))*r*r**(-1\/3)*r*(r\/((r*r**(1\/12))\/r))\/(r\/(r**(-2\/5)*r)) assuming r is positive.\nAnswer: r**(119\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-51)\/119 - (-272)\/14. Let d = z - 25. Let g(i) = 3*i + 9. Calculate g(d).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 293 != 4697\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127 + 125 - 254 + 29*k**2.\nAnswer: 29*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.23*277155\nAnswer: 63745.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 14, 11, 4, -7?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21\/16 + -115\/112. Let k = -12 + 8. Let r = -0.06 - 0.24. Which is the biggest value? (a) k (b) r (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-300)\/4810 - (15\/13 + -1). Let m be (319\/(-2442))\/(14\/(-212)). Let c = m + s. Calculate the common denominator of -97\/24 and c.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67684650 a multiple of 1275?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -5*x + 29*x**2 - 6*x + 2*x + 8*x. Let r(h) = -15*h**2 + h. Let i(v) = 10*r(v) + 4*s(v). Find the second derivative of i(d) wrt d.\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9454.716g in milligrams?\nAnswer: 9454716","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 2*u**3 + 9*u**2 + 4*u - 12. Let s be y(-7). Let p = s - -360. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of -3*x**5\/10 + 7*x**4\/12 - x**3\/6 - 2*x**2 - 181*x. Let v(r) = -r**3 + r**2 - r - 1. Determine -4*v(q) + w(q).\nAnswer: -2*q**3 + 3*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(209)\/(sqrt(1331)*-1))**2 + 3 + 4.\nAnswer: 987\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - -5 - (-15 - (-32 + 8))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11001001 (base 2) to base 4.\nAnswer: 3021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -167 - -169. Solve x*d + 22 = 14 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooyy when four letters picked without replacement from oyoopoyoxyoyop.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 48640727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -170 - -175. What is the lowest common multiple of x and 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4)*(4 + -1))\/(-6)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(330)\/(sqrt(22)\/sqrt(2)))\/(-1*sqrt(10)*1) + -4.\nAnswer: -4 - sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4\/487 in 0.2, 4, -204.59?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + v - 2. Is 10 a factor of k(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 149 - (3*-3)\/3. Suppose 3*q = -q + p. What is the remainder when q is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, y: 1, h: 3}. Give prob of sequence yhyh.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 343 is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 3*a**3 - 9*a**2 - 7*a + 20. Calculate w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19475, -19476, -19477?\nAnswer: -19478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(13) - (1*sqrt(156))\/sqrt(12)) - ((sqrt(39)*-2 + sqrt(39))\/sqrt(3) + sqrt(156)\/(sqrt(36)\/sqrt(3))))*6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7762.69999936302 + 7762.7. Round r to seven decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -624.97601 + -0.02399. Which is the third biggest value? (a) 3\/4 (b) h (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 439?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*(z*z**(2\/9)*z)\/z*z)\/z)**(-22) assuming z is positive.\nAnswer: z**(-440\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - l = -3*y - 78, 4*y - l = -104. Let v = y + 28. Calculate the least common multiple of 11 and v.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8a10 (base 11) to base 14\nAnswer: -447b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7342*j**5 + 1117*j + 1.\nAnswer: -146840*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/986 or -1?\nAnswer: -1\/986","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -858 + -72. Let t = 930.00000523 + i. What is t rounded to seven decimal places?\nAnswer: 0.0000052","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -1613988 = -1613988?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from wbbyywwvywywavbb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (-2)\/(-8) + 2150\/200.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*g**5\/2 + 1731*g**4\/4 - 56775*g**3\/4 + 74445*g**2\/4 + 214281*g\/4 + 20331 = 0. What is g?\nAnswer: -1, -1\/2, 3, 36, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8256.66021 - 11.\nAnswer: -8267.66021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.11425 + 842.03425. Let u = f + -858. Let o = u - -15. What is o rounded to 1 decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173626 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -12\/7 (c) 0.0891323\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.48 + 0.43. Let p = -1.65 - b. Let w = p - -1.59984. What is w rounded to 4 decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x - 2*b + 18 = -4, b = 4*x - 54. Let u = 75 + x. Suppose -2*j + 8 = -3*g + 34, 0 = g + j - 7. Calculate the greatest common factor of u and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -988*o**2 - 42*o + 70*o - 20 - 4 - 40*o wrt o?\nAnswer: -1976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11\/3 smaller than -707.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -235 - -445. Calculate the smallest common multiple of 7 and n.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 + 2)*(2*d - 3*d + 3*d) - 2*d - 2*d + 2*d + 1 - 1 - 3*d)*(2*d**2 - d + d) - 4*d**3 - d**3 + 0*d**3.\nAnswer: -7*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/547521 and 41\/1807.\nAnswer: 547521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -4\/5 (c) -0.193 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of -k**4\/12 + 2*k. Give y(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2 - 1002*v - 20160.\nAnswer: -2*(v + 21)*(v + 480)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64987 is divided by 1658.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-8)\/12)*2\/(-18)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.362 minus 5967.6?\nAnswer: -5978.962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 934 times -193953\nAnswer: -181152102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 2*a**2 + a**2 - 2*a**2 - 4 - 1. Calculate c(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -4, -7\/4, -1\/2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15\/(-75))\/(8\/40*(-7)\/350).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -118390 divided by 11839.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-560)\/(-525)*(-54)\/228*1\/(2\/(-5))\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 396 and 132.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110000011010010000010 (base 2) in base 13?\nAnswer: 9bc77c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27403?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(3) + 1)*-5*3.\nAnswer: -45 - 15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13509922448137\/2001123879756 - -20\/292049603. Let w = h - 2\/1713. Determine y so that 12*y**5 - 21\/4*y**3 + 69\/4*y**2 - 18*y**4 + 3\/4 - w*y = 0.\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 3*y = -84. Let v(i) = -i**2 - 32*i - 13. What is the tens digit of v(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 0 + 3*sqrt(32) + (-2 + sqrt(2))*-5 + (sqrt(4)*3)\/sqrt(2).\nAnswer: 7 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = r + 12 - 0, -6 = 5*r - 2*v. Let p be (11\/22)\/(r\/(-716)). Suppose 2*u + 4*t - 70 + 8 = 0, 2*t = -5*u + p. What are the prime factors of u?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -3*z**5\/160 + 9*z**4\/32 - 15*z**3\/16 + 21*z**2\/16 + z + 142. Solve i(d) = 0.\nAnswer: 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202211110 (base 3) to base 8\nAnswer: -104065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:20 AM and 3:54 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, d: 2, b: 3, r: 1, q: 4}. Give prob of picking 1 b, 1 r, and 2 y.\nAnswer: 9\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 14) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 53435 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23\/10? (a) -17\/3 (b) 0.2 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*q**2 + 5 - 6 + 1.\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5631? (a) 281 (b) 3\/4 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fg when two letters picked without replacement from {g: 1, f: 1, m: 2, t: 9}?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1159, 3, -6, -2 in decreasing order.\nAnswer: 1159, 3, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -75, 15, -4, 68, 60, -1.\nAnswer: -75, -4, -1, 15, 60, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 - 39*a**2 - 87*a + 193. Let b be p(41). Put 0, b, -2 in ascending order.\nAnswer: b, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-three thirds of a century?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42255*c - 3*p + 121 - 43 = -42266*c, 4*c + 8 = -4*p for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z**3 - 798*z**2 - 44134*z + 315. Determine k(313).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + sqrt(245) + 1 + 4 + sqrt(245))**2 - sqrt(245) - sqrt(245).\nAnswer: 196*sqrt(5) + 2230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/35*80\/(-576).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2523 = 2*d - 7*d, -3*d + 1521 = 3*b. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 8:47 PM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5283042?\nAnswer: 2, 3, 233, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*m + 28*m + 263 - 15*m + 268 - 531.\nAnswer: -3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 2*j + 3. Let i be l(3). Suppose i = 4*p + 9 - 49. Calculate the least common multiple of p and 7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 4*m + 26 = 2*u, -2*u = -4*m - 20 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3841989?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 301 + 4?\nAnswer: 305","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 920 and 1725.\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -181718 in -5, -2\/3, -4, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 198340117?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 89*(-28)\/(-4984) + 23\/(-58)?\nAnswer: 3\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 17 and -0.006?\nAnswer: -0.102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -15.1 * 89.\nAnswer: -1343.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/4*4*24\/(-48).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11780 and 1116?\nAnswer: 106020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 21 + -71700?\nAnswer: -71668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 23 + -1443238?\nAnswer: -1443215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -89 + 88.9. Let l = 2 - -1. Let p be (18\/16 + -1)*(-148 - -145). Which is the nearest to k? (a) l (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12183933?\nAnswer: 3, 79, 101, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 9*w**2 - w + 6. Suppose 5*k + f = 44, k + f + 28 = 5*k. Let o be (-74)\/k + 2\/8. What is the tens digit of d(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -16.73245? (a) 2 (b) -1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtlmmmqlqlltqmlqmtm. What is prob of picking 2 l?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -3*g**5 + 891*g**4 + 6636*g**3 - 77172*g**2 + 171792*g - 102144 = 0.\nAnswer: -14, 1, 2, 4, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1781 divided by 4?\nAnswer: -1781\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -281*l - 312 = -229*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*c*n*r**2 - 8*c*n*r - 255*c*r**2 + 2*c*r + 47*n**2*r**2 + 38*n**2*r - n**2 - 4*r + 6 wrt r.\nAnswer: -4*c*n - 510*c + 94*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -5860.513 to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 67 and 38257?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/184438 and 125\/36.\nAnswer: 3319884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2012 and 177636.\nAnswer: 89350908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(400))\/sqrt(10) + (sqrt(40) - (sqrt(5760) + -3*sqrt(5760))))\/(2*(sqrt(128)\/sqrt(4)*4)\/sqrt(4)).\nAnswer: 23*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 3*p**2 + 119*p - 1322. Let t be a(9). Let i(j) = -j**3 - 9*j**2 + j - 22. Calculate i(t).\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14549659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -15, -2\/19, -2\/169, 2\/9, 21, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:47 PM and 12:20 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5286\/11 or -482?\nAnswer: -482","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/11 - (-12894)\/231. Let j = 8 + z. Suppose 0 = 68*n - j*n - 8. Solve 0 = k - 1 + n for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 4*w = -14 + 2, -3*w - 7 = 4*q. Suppose q*f + 265 = 7*f. Let t = -4383 - -4390. What is the remainder when f is divided by t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in thirty-three fifths of a century?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425)*1*-2 - (3 + sqrt(425) + 0))**2 - (-3*(sqrt(102) + 2*sqrt(102) + sqrt(102)))\/(sqrt(726) + 1*sqrt(726))) + 2.\nAnswer: 996*sqrt(17)\/11 + 3836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -2*k**4 + 6*k**3 - k. Let f(g) = 2068*g**4 + 36*g**3 - 6*g - 1106. Let n(m) = f(m) - 6*t(m). What is the first derivative of n(z) wrt z?\nAnswer: 8320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 22978.13389 - 22978. Let j = f - 0.131. What is j rounded to three decimal places?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -618296159 at least -618296159?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 0*i**2 - 4*i**2 + 3*i**2 + 58000. Let p be m(0). Round p to the nearest 10000.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 352293 and 1878896?\nAnswer: 5636688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*x**4 - 50*x**2 - 34*x - 1.\nAnswer: -24*x**2 - 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, z: 4, h: 8, k: 2}. What is prob of picking 2 a and 1 h?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52.31198 decades in centuries?\nAnswer: 5.231198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5949 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 185 + -197. Let v(t) = -t - 8. Calculate v(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4721254 is divided by 3777.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*d**2 + 11*d**2 + 2*d**2.\nAnswer: 13*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -2, 1\/5, 1\/1743, -4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1384 divided by 14\nAnswer: 692\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 11) to base 12.\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f. Let h be ((-1)\/(-3))\/((-5)\/(-345)). Let d = h + -28. Let j = 2 + 1. Let x(z) = -7*z. Determine d*b(a) + j*x(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 4, e: 5, c: 3}. Give prob of picking 1 c and 1 l.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206608 a multiple of 221?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6\/40)\/(270\/360). Which is the closest to -0.1? (a) 5 (b) 3 (c) o (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 3. Suppose 3*n - 8 = n. Suppose 10*c + 3*o = 5*c - 25, -4*c = n*o + 20. Let u be a(c). Solve 2*p - 3*m + 2*m - u = 0, m + 8 = -4*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2165 - -2165.5. Put 1, -1\/332, z in descending order.\nAnswer: 1, z, -1\/332","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 73 = l - 19, 4*y + 484 = 5*l. Suppose -n = 2*n - l. Suppose w = -3*g + 22, 2*w - n = w - g. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -87 + 92. Suppose -o*y = -3*i + 1, -2*i + 0*i = -5*y + 1. Factor 2\/9*m**i + 4\/9 - 2\/3*m.\nAnswer: 2*(m - 2)*(m - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-351)\/1326*17)\/((-3)\/(-28))?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 16*z**2 - 34*z - 38. Let i be o(18). Let m be 20160\/400 + i\/5. Solve 55 - m = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14333922 a multiple of 92?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/21)\/((-70)\/98)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -149679, -598694, -1347053, -2394756, -3741803, -5388194, -7333929?\n\"Answer: -149672*q**2 + q - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6073 - 6072.5. Which is the third smallest value? (a) i (b) 1\/4 (c) -5 (d) 129 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c - 28378973 + 28378825 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13078 is divided by 874?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433492 is divided by 108367?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -6*k**2 + 9*k + 1. Let c(v) = 5*v**2 - 8*v. Let j(t) = 4*a(t) + 5*c(t). Let n be j(3). What is the units digit of n*(-10)\/(-2) - -2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 15 = 2*m, -d = 5*m + 8 - 52. Let u(h) = -2*h + 70. Let p be u(29). Which is smaller: m or p?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.01 + 1.01. What is the third biggest value in -2, f, -1\/12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 238, -0.074?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -176 divided by 9?\nAnswer: -176\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -262*a**2 + 27*a.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 12:35 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258265919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v + 1115 + 1080 - 168 + 83 + 1031 to the form j + r*v and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 505016 is divided by 126232.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 11. Let y be n(13). Sort -3\/8, y, -9 in descending order.\nAnswer: y, -3\/8, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2, -24, -76, -160, -282, -448, -664, -936?\nAnswer: -1270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -64, -226, -540, -1042, -1768, -2754?\nAnswer: -4036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 268 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v**2 + 316*v - 336. Determine u(44).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/84 - 1\/3)*(3 - -1). Suppose 2*q - 2*z - 28 = 0, -4*q - 3*z - 8 = -64. Which is greater: m or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 53536?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 204, 199, 192, 183, 172, 159?\n\"Answer: -b**2 - 2*b + 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -390*s - 7. Let h = 52 + -58. Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 984 and 96.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {n: 4, w: 6}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 11:38 PM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of r**4\/2 + r**2 + r + 4. Let a(t) = -t + 0*t**3 - 1 - 149*t**2 + 150*t**2 - 2*t**3 + t**3 + 0*t. Give a(q) + k(q).\nAnswer: q**3 + q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a**3 + 5109*a**2 + 207987*a + 2044539 = 0. What is a?\nAnswer: -23, -17, 1743","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -3, 1944, 10, 0.1, 0.2.\nAnswer: -3, -0.3, 0.1, 0.2, 10, 1944","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2998381 to the nearest integer?\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1488 and 432.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 3, 4, -9 in increasing order.\nAnswer: -13, -9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*q**2 + 0*q**2 + 3*q**2 - 45*q.\nAnswer: -3*q**2 - 45*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 - 6.00000196. Round k to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1038257?\nAnswer: 11, 37, 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1492 a factor of 1013780389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*s - 19*s - 2*o + 3656, 0 = s + 5*o - 1236. Does 38 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-40)\/15)\/((-4)\/6). Suppose -5*x - 12 = -i*y - 3, 0 = -y + 3*x - 3. Let c(j) = -j + 10. Calculate the least common multiple of 4 and c(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of 0*g + 0*g**2 - 2 + 0*g**3 + 5\/2*g**4. Calculate k(1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 6*m**3 + 85*m**2 + 15*m + 9. Determine t(-14).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -67 - -70. Let t(r) be the first derivative of -2\/33*r**w - 2\/11*r - 2\/11*r**2 - 4. Determine l so that t(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 2*g**2 + 12*g - 3. Let a be i(-7). Suppose 504 = a*u - 4*u. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*b - 16*b - 2 + 1 + 45*b + 5 as q*b + s and give q.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 58 - 66. List the prime factors of -8 - j - (-261 + 7).\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 1:30 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4 + 13482266?\nAnswer: 13482262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + a)*(-135*a - 124*a + 144*a).\nAnswer: -115*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -66, -83, -74, -27, 70?\n\"Answer: 2*m**3 + m**2 - 34*m - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 minutes before 1:53 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 3*j**3 - 4*j**2 - 3*j - 2. Let z(l) = 4*l**3 - 4*l**2 - 4*l - 2. Let d(f) = -3*u(f) + 2*z(f). Give d(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 2, c: 2}. Give prob of picking 1 z and 1 c.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 46938865 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 77132286 and 1818?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 3*q. Let u be m(4). Suppose y + u*s - 21 = 0, 5*s + 2 = 7. What is the remainder when -1 + (464\/(-8)*-1 - 8) is divided by y?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 93.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41157?\nAnswer: 3, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) -11.1 (c) 2\/11 (d) 0.1 (e) 0.26 (f) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -9*c**3 + c + 1. What is the hundreds digit of f(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*2*(-2 + sqrt(5)*-3)*-4*5*5.\nAnswer: -600*sqrt(5) - 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -3, -37, 3 in increasing order.\nAnswer: -37, -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/7 - (-12)\/(-42)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -556, -2276, -5124, -9082, -14132?\n\"Answer: 3*l**3 - 582*l**2 + 5*l + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:49 AM and 6:16 AM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 take away 0.1?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 22 = 5*w + 7, 3*w = s + 17 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00007778641 to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 5*w - 23*w - 9*w + 6*w - 9*w to r + c*w and give c.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -117400*c**2*q*w**3 - 3*c*q*w + 17*c*w**3 + 7*q + 13*w**2 wrt c?\nAnswer: -234800*q*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 814 and 1036?\nAnswer: 11396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 8*v**2 - 10*v - 8. What is the units digit of c(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 30*h**2 - 48*h - 206. List the prime factors of q(-10).\nAnswer: 2, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 4*k + 5*s - 12, -4*s = 8 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1.7, -0.4, -0.3, -565.71, 2\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -1 - (3 - (-1 + 1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*j - 2*u + 53, -2*j - 2514*u = -2324*u + 50 + 942 for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -553676 divided by -3?\nAnswer: 553676\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 322550 + 5?\nAnswer: 322555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 109*z**2 - 9*z - 76. Let t(j) = -127*j**2 + 10*j + 89. Let d(x) = 7*s(x) + 6*t(x). Let i = 9 - 4. Give d(i).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/2 + 9\/18. Suppose 0 = -c*f + f + 4. Let a be f\/(-16) + (-43200004)\/16. Round a to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 14 = -7*p - 2*f, 0 = -3*p + f. Solve 5*i = -3*x + 15 - p, -24 = -4*i + x for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 99?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 18*k - 30. Suppose 5*j + 23 = k*j + 5*a, -5*j - 5*a = -15. Let m = -169 + 2199\/13. Does m = j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3678 is divided by 1703?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -126.72 - -6.62. Let w = -120 - d. Which is the nearest to w? (a) 3 (b) -0.1 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 + -13. Suppose -5*l - m = 3. What are the prime factors of (-9)\/l*8 - -3?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/130*(-2)\/(1\/1).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 1200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/87013 not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*x, 5*o - 10 = -3*x + 373. Let v = -10921 - -10959. Calculate the highest common divisor of o and v.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/40, -195, -2\/33, -4 in descending order.\nAnswer: 3\/40, -2\/33, -4, -195","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5557 + 3246. Which is the third biggest value? (a) -1 (b) k (c) 0.5 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 780911 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 62 - 311\/5. Which is the third smallest value? (a) v (b) -0.5 (c) 0.4 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 - 6*n - 4. Let x be y(-4). Let v(w) = -x*w + w + 4*w. Let a(j) = -13*j. Give a(v(q)).\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a gram in milligrams?\nAnswer: 8400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -18*o + 10 + o**2 - 4*o + 3 + 0*o. What is the least common multiple of d(23) and 76?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.051594 take away 49225420?\nAnswer: -49225420.051594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*u + 7630 = -17*u - 180695. What are the prime factors of u?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 135540 and 53212.\nAnswer: 7183620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 7*h + 2*h - 1519 = 0, 1163 = -3*b + h. Let r = -1212 - b. Is -826 less than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + (-24 - -46 - 8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 65.6 - 65. Let k = 8 - 8.6. Let m = k + i. Which is the third biggest value? (a) 3 (b) m (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = -t - 25, -4*t - 3*g - 43 + 18 = 0. Let l(a) = -a**2 - 3*a + 13 - a - 5*a. What is the units digit of l(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312*b = -1376 - 496 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -150 + -1031040502?\nAnswer: -1031041052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 divided by -30.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 608, 2509, 5674, 10103?\nAnswer: 15796","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, m: 2}. What is prob of picking 1 g and 1 m?\nAnswer: 10\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 461 or 24369?\nAnswer: 24369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 538835.\nAnswer: 5, 11, 97, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/3, -535, 1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 123? (a) 0.2 (b) 2\/7 (c) 0 (d) -75\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 135308 and 128.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = u + u + 1426, 0 = -4*j + 5*u + 5683. Are 1413 and j unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*i**4\/i)\/(i\/(i**(-1)\/i)*i))\/(i**(-5\/4)*i**(-1))*((i**(-1))**(-8))**42 assuming i is positive.\nAnswer: i**(1353\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a kilometer in meters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -g**5\/20 + 7*g**4\/12 - 7*g**3\/6 + 9*g**2\/2 - 8*g. Let q(i) = i**3 + 6*i**2 - i. Let a be q(-6). What is y(a)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587535.4ml in litres?\nAnswer: 587.5354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -119\/30330 and 89\/36?\nAnswer: 60660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 + (12 - 27) + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36*(4 - (-28)\/(-8)) and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rsrqsqqqqssqqq. Give prob of sequence srqs.\nAnswer: 8\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -17024 greater than -17022?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.13 > -703270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 42 + 1. Let a = -29 - -44. Calculate the remainder when g is divided by a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (-999)\/126)\/(24 - 50278\/2093).\nAnswer: 13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 94511 by 5.\nAnswer: 94511\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22400928 - l - 22400928 - 2*l**2 - 16*l**3 + 2*l**2.\nAnswer: -16*l**3 - l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 8 = 3*r. Suppose 29 = r*t - 7. Calculate the highest common divisor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f + 6. Let w be p(4). Let o(i) = -i**3 + 3*i**2 + i - 2. Let h be o(w). Solve -3*x = z - 2*z + 12, -x - h*z = 17 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 362039.2 centuries?\nAnswer: 36203.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 101\/21 - 29\/7. Suppose 2*v = 5*d - 3*d + 12, 14 = 4*v + d. What is the nearest to o in v, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -93081, -93076, -93061, -93030, -92977, -92896?\n\"Answer: u**3 - u**2 + u - 93082","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 12366, 12271, 12046, 11625, 10942?\n\"Answer: -11*f**3 + f**2 - 21*f + 12397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.76736 millennia to centuries.\nAnswer: 87.6736","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 - 0.40000098. What is p rounded to seven dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21195460 rounded to the nearest 10000?\nAnswer: 21200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254849611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(2\/(118\/2 - 1)). What is the greatest common factor of p and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 7453, 7453, 7461, 7483, 7525, 7593, 7693?\n\"Answer: w**3 - 2*w**2 - w + 7455","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 1 + 9*h**2)*(-h + h + h + 1)*(6 - 2 - 2) to r + q*h**2 + m*h**3 + d*h and give q.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170660472?\nAnswer: 2, 3, 7110853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2463 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 5029*o**2 - 69*o - 26. Let h(k) = -2515*k**2 + 32*k + 12. What is -6*a(b) - 13*h(b)?\nAnswer: 2521*b**2 - 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 3*c + 4 = 0, 0 = -4*r + 3*c + 20. Let k be (-92)\/(-1610) - (-20926)\/70. Let b = -294 + k. Solve 17 = -b*t + r for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -g**5\/30 - 5*g**4\/24 - g**3\/6 + 3*g**2. Let h be v(-5). Is 13 a factor of 3\/6*h\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.3 + 15. Let c = -0.5 - f. What is the closest to 0.2 in -1, 0.3, c?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:19 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60, 118, 176?\nAnswer: 234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1095.\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 670, 1332, 1994?\n\"Answer: 662*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwziyiyyiiw. Give prob of sequence ywz.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 12 - 4)*(5985 - 5985 + 126*b**2)*(2 + 5 - 6).\nAnswer: 1764*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -4) + 1 + -57 + 61?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 4*f - 40. Let j be 127\/9 + 20\/(-180). What is the units digit of x(j)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 144 and 8704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 79711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-5)\/q**(-2\/11))**33\/(q**(-3)*q\/(q\/(q\/(((q*q\/((q*q**(-11))\/q))\/q)\/q))))**(1\/30) assuming q is positive.\nAnswer: q**(-4757\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*t**3 - 174169 + 87085 + 87084.\nAnswer: -196*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.03, 0.3, -37, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2073*b**2 + 3*b - 1. Let d be q(-1). Suppose 26*l + 3*h = 25*l + 694, 4*h = 3*l - d. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -92300 smaller than -92300?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*b**2 + b**2 - 2*b**2 - b + 4*b - 12*b**2 - b + (-84*b + 165*b - 1217*b)*(b - 3*b + 0*b) to a + d*b**2 + w*b and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 31 + (-25 + 19 - 15)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749680107 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15731732 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 77711 smaller than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.101322725+-0.927\nAnswer: -0.825677275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 4*c + 70 = 0. Let k be (c\/(-4) + 2)*-10. Suppose -k*f = -2*r - 72, -24 = -2*f + r - 5*r. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 + 3*z - 1. Let b be (2 - 1) + (3 - -1). Suppose j = -2*t - b, -t = -4*j - 4*t - 15. Let f be g(j). Is f > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54590994103 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (51\/(-340))\/(1119\/(-34316))\nAnswer: 23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.4 - 4. Let t = -14.4 + 11. Let g = t + p. What is the smallest value in 2, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 164.623537 rounded to two decimal places?\nAnswer: 164.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32186971 rounded to 4 decimal places?\nAnswer: -0.3219","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -24*d**3 + 6*d**2 + 6*d - 4. Let u(i) = 71*i**3 - 17*i**2 - 17*i + 13. Let b(p) = -17*h(p) - 6*u(p). Find the first derivative of b(m) wrt m.\nAnswer: -54*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to -4\/5867573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 31303320110 (base 4) to base 11\nAnswer: 2053048","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37842071?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Simplify c*(c**(-1\/7)\/c)\/c*c**16 assuming c is positive.\nAnswer: c**(104\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 45*i**2 - 128*i + 59. What is the tens digit of p(-45)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(((t**(-1\/7)*t)\/t)\/t*t))\/t*t**(-1\/15)\/t*t)**48 assuming t is positive.\nAnswer: t**(1808\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (23\/368)\/(6\/(-844)). Let b = t + 121\/8. Calculate the common denominator of b and -97\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*x + 5*x. Let t = -23 + 10. Let w = t + 15. What is the biggest value in w, 0.4, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.2206 to 1 dp.\nAnswer: -2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(-3)*10\/((-70)\/(-21)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78) + (sqrt(78) - 2*sqrt(78)) + sqrt(78))\/sqrt(2))\/sqrt(3) - 2*(sqrt(1300) - (sqrt(1300) + -1)))**2.\nAnswer: -8*sqrt(13) + 56","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -585, -4722, -15973, -37896, -74049, -127990, -203277?\nAnswer: -303468","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/x**(-10)*x*x\/((x**(-3)*x*x)\/x)*(x*x*x\/x**(-2))**(-47) assuming x is positive.\nAnswer: x**(-220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -200 - -200.05. What is the second biggest value in -2, 1, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1006046.\nAnswer: 2, 53, 9491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 39 = -160. Let u = d + -67. Suppose 0 = 4*a - 30 - u. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13150840*5.\nAnswer: 65754200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1844463?\nAnswer: 3, 19, 32359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 28830 divided by 2\nAnswer: 14415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2871 in 2\/13, 0.2, 2\/15, -1.98, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 82 = 4*y - 2*a, -4*y + 4*a = 80. Let i(k) = -12*k**2 + 21. Let w(h) = 3*h**2 - 5. Give y*w(l) - 5*i(l).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4 = 7 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 68+-48\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 94. Let q(j) = -4*j**2 - j - 3. Let d be q(-4). Let c = p - d. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3)*-1 + -2 - sqrt(27)\/(2*sqrt(9) - sqrt(9)))**2.\nAnswer: 8*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 877, 1374, 1879, 2392, 2913, 3442?\n\"Answer: 4*z**2 + 485*z + 388","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1403 + 2643\/2. Let h = 83 + k. Factor 9\/2*o + 3\/2 - h*o**2 - 9\/2*o**3.\nAnswer: -3*(o - 1)*(o + 1)*(3*o + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24700 and 2850.\nAnswer: 74100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 0)\/((-8)\/16). Let b be 15*(q + (-56)\/(-12)). Suppose 2*x - b = -3*a, -13 - 59 = -4*x - 4*a. Does 7 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63154295?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 274083, 548176, 822269?\nAnswer: 1096362","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70 - 169 = 11*h for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.4341 - -2.1247. What is u rounded to 2 dps?\nAnswer: 1.69","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1462 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m. Let j(d) = 3*d. Let g(c) = 4*j(c) - 3*t(c). Let r(v) be the second derivative of 1\/4*v**4 + 0*v**3 + 2 - 3*v + 0*v**2. What is g(r(a))?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -22 - -34. Let j(v) = 6*v + 13*v**3 + 9 - 16*v**3 + v**2 + x*v - 8*v. What is the remainder when j(-3) is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**0)**(27\/5)\/((g\/(g*g**(-5)))\/(g\/g**(-1))))\/(((g\/(g*g\/(g\/(g\/(g*g**(-1\/3)))*g)))\/g)\/(((g\/g**(-5))\/g)\/g))**22 assuming g is positive.\nAnswer: g**(277\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(28) - sqrt(56)\/sqrt(2)))**2*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -396 = -5*o + 684. What is the highest common divisor of o and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - -1)*(-4)\/8. Suppose -2*c + 2*q - 10 = n, 0*q - 5 = -q. Let t = 7\/16 + -67\/80. What is the closest to t in c, 2\/9, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 142, -128, -834, -2186, -4394, -7668?\nAnswer: -12218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**3 + 106896*n**2 - 106900*n.\nAnswer: 4*n*(n - 1)*(n + 26725)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4416 * 73360\nAnswer: 323957760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -6244684.57 to the nearest one thousand.\nAnswer: -6245000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -3*u - 18. Let t(g) = g**2 - g - 7. Let v be t(-6). Let c = v + -13. Calculate the least common multiple of u and c.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 42935319 and 3735?\nAnswer: 747","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a microsecond in nanoseconds?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*b**3\/5 + 513*b**2 + 146205*b + 13889475.\nAnswer: 3*(b + 285)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-5))\/((-70)\/1050)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20 - 20. Let a = 3 - -4. Suppose -a = -r - k. What is the remainder when 13 is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -2. Let n = 1118 + -1117.9483. Let j = n - -1.9483. Which is the second smallest value? (a) 63 (b) j (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.45 - 20.55. Let o = -20.7 - p. Which is the nearest to -1? (a) 0.4 (b) 2\/13 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 192 is divided by -9 + (-1 - (3 - 47)).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 606 + -604. Suppose 2*m = 3*m. Factor -6*k**p - 1 + 17 + 2*k**2 - 12*k + m*k.\nAnswer: -4*(k - 1)*(k + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 - 18 = 3*t. Let c = 13 + t. Factor -2*j**4 - j**c + 8*j**4 + 2*j**5 + 8*j**2 + 12*j**3.\nAnswer: j**2*(j + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/5, -2, 2\/9, 67, -0.3 in ascending order.\nAnswer: -2, -0.3, -1\/5, 2\/9, 67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6535, -6430, -6185, -5746, -5059, -4070, -2725, -970?\nAnswer: 1249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.497 rounded to one decimal place?\nAnswer: 18.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gxg when three letters picked without replacement from {g: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 = -2*m + 6*v, -80*m + 77*m - 125 = 4*v for m.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssvvvmvmmmlvbsvlm. What is prob of picking 1 b, 1 v, and 2 m?\nAnswer: 3\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*c - 17*c = 12 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and -1.127742.\nAnswer: -1.127742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111 (base 2) to base 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 9 and 288?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, b: 5, r: 2, v: 2, h: 2, f: 2}. Give prob of picking 2 v, 1 h, and 1 b.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4344.0761 rounded to the nearest 10?\nAnswer: 4340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q**3 - 59*q**2 - 72*q - 810. Determine p(-58).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 120*y**3 + 186*y**2 + 87*y + 12 = 0. Calculate y.\nAnswer: -4\/5, -1\/2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 450 a factor of 385149150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u + 6*u + 0*u)*(-3*u**2 + 3*u**2 + u**3) + 2*u**4 - 4*u**4 + u**4.\nAnswer: 4*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrryyhrtyyhrrrr. What is prob of sequence thhr?\nAnswer: 2\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 1)*(2*j + 4*j - 4*j) + j + 0*j - 2*j.\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from llollllllllllllloo. Give prob of sequence llo.\nAnswer: 35\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 44 = -2*d, -4*n + n - 3*d + 39 = 0. Suppose -m = 2*c - 248, 3*c - 1254 = 3*m - 8*m. Let p = -90 + m. What is the highest common factor of p and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -262 = -3*f - 5*y - 229, 20 = 2*f + 3*y. Which is the closest to f? (a) -0.275 (b) -1\/5 (c) 4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 374837*v - 188938*v - 17*v**2 - 7*v**2 - 185899*v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 699310819?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jhj. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6107\/1650 - 1\/825. Calculate the common denominator of -127\/30 and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q + 10. Suppose 3*l = 3*c - 5*c - 10, -2*l = q*c + 10. Suppose l = -6*w + w + 1255. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4663 - -5?\nAnswer: 5001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 10. Let q(r) = -r**2 - r + 1. Let t be q(0). Let v = 3 + t. Solve -8 = 4*z - v, -5 = w*n + z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 602048972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*k = 5*t - 30*k + 7, 18 = 9*k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -72345865.3000039 + 72345860. Let i = 5.3 + l. What is i rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the second derivative of -133*t**4\/6 - 3*t + 35. Let a(c) = -c**2. What is a(p(z))?\nAnswer: -70756*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1.688545189206 and -22.\nAnswer: -20.311454810794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -132*x = -113*x - 59356. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -161, 10, 0.5, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 79321.5423 nanoseconds in weeks?\nAnswer: 0.00000000013115334375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of 349*j**3\/6 - 19806*j + 2. Let n(p) be the third derivative of -p**5\/30 + p**2. Give n(a(t)).\nAnswer: -243602*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 75 - -103. Let m = -186.9 + i. What is m rounded to 0 decimal places?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -68.1 - -75. Let q = 0.381 + 6.819. Let d = o - q. Is d < -1.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -170598, 8.7, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(2*g + 0 + 0) + 2*g - g + g - 2 + 2 + 2*g - 1369*g - 176*g - 2399*g.\nAnswer: -3936*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 19. Let r(g) = -g - 19. Let x(s) = -4*a(s) - 3*r(s). Let y be x(-15). Let t = -25 - y. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b**3 + 25*b**3 + 80*b**3 - 12*b**3.\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*k = -4*k + 19580 - 78308. What is the tens digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129608.\nAnswer: 2, 17, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (18\/(-36))\/((-1)\/28). Suppose y*w - 12 = 16. Solve -2*b - 1 = w*m + 15, 3*m - 11 = 4*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - (-2 + -5)) + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**3*(k*(k*k**(1\/4)*k)\/k*k)\/k)**(-1\/32)\/((k*k**(1\/3))\/k*k*k**(-8)*(k*k**1\/k)**(-25)) assuming k is positive.\nAnswer: k**(12085\/384)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the third derivative of v**6\/120 - v**5\/20 - v**4\/8 - 2*v**3\/3 - 5*v**2. Let a = -11\/36 - 577\/36. Calculate the common denominator of d(5) and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -6*y - 16. Give j(-5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 175*g - 173*g + 10 = 5*n, g - 2*n = -6 for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of -u**5\/20 + 5*u**4\/6 - 7*u**3\/2 + 3425*u. Let n(v) = 0. Calculate v.\nAnswer: 0, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*b = -2*t - 85 + 93, 4 = -2*b for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1304*y**3 + 3*y**2 + 7*y + 5. List the prime factors of f(-1).\nAnswer: 3, 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2736) + 2 - sqrt(2736)) - -3*sqrt(2736)*-3) + 2.\nAnswer: -108*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - 1. Let x = -0.23 - z. Let a = x - 0.3700068. Round a to 6 dps.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccc when three letters picked without replacement from ddddkdcddcdccdcddc?\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 4*n - 9*n + 7*n + 2*n.\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 30, 51, 72, 93?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*z + z - 5. Suppose 2*n - a = -0*n + z, 4*n + 5*a = -25. Suppose n = -5*f - 2 + 22. Are f and 0.02 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8209851851 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 204 by -11.\nAnswer: -204\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y + 22 - 10. Suppose -y*n - 5 = 10. Put -1, n, 0 in increasing order.\nAnswer: n, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 358*l**2 + 5*l**3 - l - 4*l**3 + 0*l**2 + 570*l**2 - 2*l in the form p*l + t*l**2 + z*l**3 + i and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 + f**2 - 1. Let t(c) = -22*c**3 - 6*c**2 - c + 4. Let v(x) = t(x) + 6*z(x). Let y be v(-2). Suppose y = 4*g - 136. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4915 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 500243 and 753.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 196 + -140. Suppose -2*r + 4*d + 44 = 0, 2*d + i = 3*r - 26. What is the least common multiple of 10 and r?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 2*h + 2*h + 6, 3*h + 21 = -5*r. Let m be ((r + 2)*-1)\/(18\/9). Suppose -14 = -2*j + m. What is the lowest common multiple of 12 and j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -162, 325, 1196, 2445, 4066, 6053?\nAnswer: 8400","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1103547 is divided by 220690.\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = a - 2*n, 0*n + 8 = -5*a + n. Is a > 6\/133?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 6*n**2 + 5*n + 5. Let r(a) = -a**2 - a - 1. Suppose -5*x + 5 = 0, 2*d - d + 5*x = -10. Give d*r(g) - 3*v(g).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 720 and 2205?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12647 rounded to two decimal places?\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 5*i + 68. Let d be a(11). Factor -1\/2*b + b**4 + 1\/2*b**5 - b**d + 0 + 0*b**3.\nAnswer: b*(b - 1)*(b + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(-2*(-3 + sqrt(432))*-3 + (-5 + 1*sqrt(432) + sqrt(432))*5).\nAnswer: -258 + 1152*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -26, -271, -936, -2231, -4366, -7551, -11996?\n\"Answer: -35*a**3 + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 14777 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1273?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 12285 divided by -3\nAnswer: -4095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/s**(-20))\/(s*(s*(s*s**(1\/28))\/s*s*s*s)\/s*s)*s**(-15)*s\/(s**25\/s) assuming s is positive.\nAnswer: s**(-617\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -15289.03+-407028\nAnswer: -422317.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l + 1 + 2 - 12. Let t be p(-10). Suppose -55 = -4*h + a, 4*a = -3*h - t + 47. Does 7 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -589\/1126829 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.03 - -5.03. Which is the nearest to 0.07? (a) -1 (b) 1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-10 + 5370\/630)*(-1 - (1 - -1)). What is the nearest to 3 in 5, m, -1, -2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1 (b) 0.2 (c) -1\/9 (d) 77\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1100)*-3 + sqrt(1100)) + -5.\nAnswer: -5 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**2. Let r(n) = -2*n. Let i = -60 - -74. Let t = 19 - i. Let z(h) = -h. Let p(q) = t*z(q) - r(q). Calculate p(d(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 16 = 41*l - 29*l, -4*z + 25 = -3*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h + 4. Let j be z(-6). Let w = j + -33. Solve -5*o - 19 = 2*p - 5, 3*p = o + w for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8169.955 litres?\nAnswer: 8169955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7899, -30488, -67769, -119742, -186407, -267764?\nAnswer: -363813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 84702.\nAnswer: 847020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, 63, 1539 in decreasing order.\nAnswer: 1539, 63, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*x - 240 - 40*x + 240.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 12, 2*a - 2*g + 12 = -2*a. Calculate the remainder when 52 + 7 - (2 - a) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 35ee - -1a8?\nAnswer: 37a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -586 - -531.6. Let s = i + 12.4. Which is the third biggest value? (a) s (b) 4 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 474 and 1044222?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of 5*s**5\/12 + 19*s**2. Let h(t) = -2*t**2. Give h(g(n)).\nAnswer: -1250*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 49*y - 5. Let i(q) = 78*q - 8. Let l(d) = -5*i(d) + 8*n(d). Let j(c) = 1796*c. Determine l(j(k)).\nAnswer: 3592*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 14843 at most 15272?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 39168 and 1049223.\nAnswer: 805803264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 46354109179 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 - 24*s - 88. What is b(-20)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -10*z**3 + z**2 + 3*z + 1. Calculate j(-2).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -11*f**2 + 26*f + 6. What is r(3)?\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 w when three letters picked without replacement from wwwwwwwwww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 9 + 8 - 3*s - 5 + s. Let n be r(6). Solve 15 + 7 = -g + 5*y, -4*g + 5*y - 28 = n for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1706158 is divided by 37911?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -12*x**2 + 143*x + 1026. Give u(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -134 - -242. Suppose 0 = -0*m - 4*m - i. Let s = m + 52. Calculate the remainder when s is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 19 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-32)*0*(-1)\/(-3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -844*d*x**5 + 29*d*x - 3*d + 2*x**6 - 4*x**2 wrt x?\nAnswer: -50640*d*x**2 + 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 490530 - 5390996\/11. Let u = 981 + -542. Let a = s - u. Is 1 smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = -3 + 1. Suppose -5*d - 8 = q*y, 4*y - 6 = d - 0. What are the prime factors of (0 + -15)\/(-3) + d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5\/4, 1\/5, 2\/7, 35\/3, -1\/124, -1?\nAnswer: -1\/124","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 0*k + 0*k**5 - 1\/3*k**3 + 0*k**2 + 2\/3*k**6 - 2 + 0*k**4. What is the third derivative of a(d) wrt d?\nAnswer: 240*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + x - 1)*(-2*x + 2*x + 3*x)*(-1 + 1 - 2)*(6 + 3 + 2).\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -4*k + 15. Let v be k*2\/4*2. Solve -2*q**2 + 2*q**4 - 2*q**v - q + q**5 + 2*q**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 - (-21 + (23 - 22))) + -1 + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 1, x: 2}. What is prob of sequence xqx?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-h + 0 + 0)*(1 - 2 + 3) - 4 - 2*h + 4)*(2*h + h**3 - 2*h).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 plus -1.94?\nAnswer: -6.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4 - 14*m**2 + 292*m**4 - 629*m**4 + 296*m**4 wrt m?\nAnswer: -984*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 44, 68, 104, 152, 212?\nAnswer: 284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -15*k**3 + 3*k**2 + 18*k - 2. Calculate j(4).\nAnswer: -842","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 10 + 24)*(-3*x - x - 5*x) to the form d + h*x and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 5*s**3 + s - 7. Let m(l) = 9*l**3 + 3*l - 14. Let v(q) = -3*m(q) + 5*x(q). Let h be v(3). Round h to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2694500 rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18*f**4 - 8*f**4 + 98*f - 18*f**4 - 2*f**3 + 45*f**4 - 16*f**4 wrt f?\nAnswer: -180*f**2 - 12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 711967.7 litres?\nAnswer: 711967700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**2 - 190*r + 840.\nAnswer: -5*(r - 4)*(r + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1308 + 2565\/2. Let x = -50 - v. What is the common denominator of 4\/22 + 738\/(-308) and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 400203 is divided by 918.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 622357927?\nAnswer: 622357927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 5*x**2 + 65*x + 34. Calculate y(-12).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 48.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9019 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 610954?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 957 = 0. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4315 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o**2 + 1 - o**2 + 0 + (-3*o**2 - o**2 + 0*o**2)*(-4 + 3 + 3) - 2*o**2 + 4*o**2 - o**2 + 2*o**2 + o + o - o in the form i + v*o**2 + x*o and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 255807\/475 (b) 0.4 (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28 - 30 + 17127*y + 58.\nAnswer: 17127*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a kilogram in grams?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15918.2 days to minutes.\nAnswer: 22922208","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 90496118?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 38*m. Let h(i) = 1548*i. Give h(n(u)).\nAnswer: 58824*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4.3 - -4. Let l = x + 0.7. Let w = 0.53 - 0.83. Which is the second smallest value? (a) w (b) l (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(312)\/(sqrt(48)\/sqrt(8) + sqrt(6)))\/sqrt(4) - sqrt(91)\/(5*sqrt(7)*5))**2.\nAnswer: 20631\/2500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -1 + 0 - (0 + -15). Let o(s) = s**3 + 4*s**2 - 2*s - 4. Let n be o(-4). Let l = n + 9. Solve 3*q + x = -3*t - q, 3*q + l = -t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r + 2367. Let o(q) = 48*q - 4730. What is -6*o(j) - 13*v(j)?\nAnswer: -2*j - 2391","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 96290324?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 880, 1601, 2508?\nAnswer: 3601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 5*b - 20, -2*r + 6*r = -b + 4. Let g(t) = -3 + 1 - t + r. What are the prime factors of g(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (215\/86)\/((-1)\/(-234)*-15).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the third derivative of t**4\/24 - 4*t**2. Determine j(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 38 - b?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 112 and 1680?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.6 - -1.6000085. What is y rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17283*j**4 - 9036.\nAnswer: -69132*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29 - -33. Let i be (-288002)\/(-3) - (x + 30\/(-9)). What is i rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -6*b**2. Let d(r) = -15235928 + 15235928 - 633*r**2. Calculate d(a(o)).\nAnswer: -22788*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16264277 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 747325 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: Simplify 2 + (sqrt(72) + 3 + sqrt(72) - (sqrt(2) - (3 + sqrt(4)\/sqrt(2))**2)).\nAnswer: 16 + 17*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(3 + (sqrt(51) - (sqrt(357) - sqrt(357)*4)\/sqrt(7))\/sqrt(3)).\nAnswer: -24*sqrt(17) - 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -3*i**2. Let n(k) = -20*k. Let j(p) = -14*p - 5. Let w(f) = 7*f + 2. Let d(q) = -2*j(q) - 5*w(q). Let u(v) = -16*d(v) + 5*n(v). Calculate u(b(m)).\nAnswer: -36*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 + 1. Sort 5, 2\/5, c.\nAnswer: c, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 14 + 3\/4. What is the common denominator of v and -26\/7?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 29.37791 to the nearest ten.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 75345 is divided by 1749?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 172 + -425. Let p = 106604 - 744451\/7. Let j = p + d. Put j, -0.06, 0.5 in descending order.\nAnswer: j, 0.5, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1397)\/(-110) - 4) + -18*6\/12?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w. Suppose -4*k - 5*v + 7 = 0, -v + 6 = 3*k + 2*v. Give g(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18919*j**3*s**3 + 23198*j**2*s**3 wrt j?\nAnswer: 113514*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 - 311 = 5*x. List the prime factors of (x\/(-25))\/((-4)\/(-40)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 284 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uctr when four letters picked without replacement from trfcttfttfurcttffu.\nAnswer: 7\/9180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -399*m + 405*m = -2*b + 2, -5*b - 5*m + 25 = 0 for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*x + 3*l - 0, 65 = -5*x - 5*l. Let q be x\/84 - 1\/3. Let f(j) = j**2 + 5*j - 7. Let y be f(-6). What is the nearest to y in q, 4, -4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -72403 and -5.\nAnswer: 362015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*j = 918 - 889. Which is smaller: -4\/4587 or j?\nAnswer: -4\/4587","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/6)\/(((-2)\/(-6))\/(-1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 31*h = -1820. Let q = -20 - h. Is q a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 445 is divided by 77?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**3 - 1264*l**2 + 101092*l - 197160 = 0.\nAnswer: 2, 155, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 32*z. Let i(s) = -3*s**2 - 5 + 14*s**2 - 2 - 10*s**2. Calculate i(u(x)).\nAnswer: 1024*x**2 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.127 + 0.049. Let s = 0.077 - n. What is s rounded to 2 dps?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by 4730101.\nAnswer: -2\/4730101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8399259?\nAnswer: 3, 11, 37, 2293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -152, 5, 0, -4, 3 in decreasing order.\nAnswer: 5, 3, 1, 0, -4, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.12 - -1.72. Which is the nearest to -2\/3? (a) 2\/19 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -3*y**3 + 14*y**2 - 2*y - 2. Let x(i) = i**2 - 1. Calculate p(a) - 2*x(a).\nAnswer: -3*a**3 + 12*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + 1 + (-24)\/(-8). Solve 0 = a - f for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -m - 623*b + 622*b, -5*m = -3*b + 23 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-1001)\/63)\/((-442)\/39) and 95\/54.\nAnswer: 918","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 2 w when four letters picked without replacement from {l: 4, k: 10, w: 2, b: 1}.\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/x**(4\/3))\/x)**(-18))**(-1\/15) assuming x is positive.\nAnswer: x**(4\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:39 PM and 7:32 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -109.5206606 rounded to the nearest ten?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**3 + 15*t - 8. Let f(s) = -5*s**3 + 30*s - 15. Let v(u) = -2*f(u) + 5*h(u). Factor v(q).\nAnswer: -5*(q - 1)**2*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 51209.6 + -55701. Round r to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7648 - -3663. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15 + 0 + 0 - 2 + g to w*g + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 9449.139l?\nAnswer: 9449139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123223303131 + 2121?\nAnswer: -123223301010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 2:20 PM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 6 + 113*o - 55*o - 2 - 2*o**2 - 56*o in the form k*o + y*o**2 + b and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.3 (b) -1 (c) -2 (d) -26 (e) -0.051522\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31233122020011 - 10?\nAnswer: 31233122020001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -76\/31725 and 8\/116325.\nAnswer: 348975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 9:55 PM?\nAnswer: 9:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 45.64339 centuries in decades?\nAnswer: 456.4339","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42 in -3\/8, 0.5, -0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 7*d - 330 = 0. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3317.037 - 3322. Let y = -0.037 + h. What is the fourth biggest value in y, -1\/4, 0.4, -0.4?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37 + 167. Let j = -56 - -80. Find the common denominator of z\/j*(-21)\/63 and 49\/20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m = 5*m - 265. Suppose 4*q + 49 = m. Let g(n) = 4*n**2 + n. Let l be g(q). Solve -4*i - 4 = -2*i - 3*b, -5*b = -l*i - 5 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 130 is divided by 23.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/10)\/((-2)\/10). Suppose 4*y + m = 22, -v*y - 4*m + 22 = -6*m. Calculate the greatest common factor of 9 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/((-48)\/36) - (-637)\/(-780).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*q + 58*q = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 22\/(-14) - ((-46 - -63) + (-1276)\/77)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 9 + 2 + -10\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -9.45 and -0.2.\nAnswer: 1.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1485)\/22*6\/(-9). Calculate the highest common divisor of 5 and t.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 39549085?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 706 and 142.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -45*i**2 - 54*i - 54. Let l(h) = -4*h**2 - 5*h - 5. What is 54*l(c) - 5*w(c)?\nAnswer: 9*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 30\/(-4)*(-10)\/(-800)*-8. Let c(h) be the second derivative of -10*h + 17\/24*h**3 - i*h**2 + 0 - 5\/48*h**4. Factor c(m).\nAnswer: -(m - 3)*(5*m - 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccccccccccac. What is prob of sequence ca?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v**3 + 50092*v**2 - 50088*v = 0. What is v?\nAnswer: 0, 1, 12522","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -472*t**2 - 17*t - 16. Let h be v(-1). Let w = h + 806. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 740556?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 p when two letters picked without replacement from {s: 2, p: 1, e: 3, k: 2, a: 1, r: 8}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -u**3 - 10*u**2 + u - 8. What is the hundreds digit of d(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 78.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*p - 12*p - 12. Let b be (-5)\/(-10) + p\/(-2). What is the third derivative of 4*x**2 + 3*x**b - 4*x**2 + 4*x**2 - 4*x**3 wrt x?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -5*v + 519, 0 = -4*y - 0*v - v + 523. Suppose -2*i + 2*c + 60 = 0, c + c = 3*i - 93. Calculate the remainder when y is divided by i.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152245.\nAnswer: 5, 30449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 491882\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*r**3 + 435*r**2 - 4920*r + 8140.\nAnswer: -5*(r - 74)*(r - 11)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4885*z**2 + 37*z**3 - 4885*z**2 - 85 wrt z?\nAnswer: 111*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 79*o + 260879 - 626807. What are the prime factors of o?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 994385671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 240 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*l - 3*l + 2*l + l**2)*(16*l + 8*l + 17*l) + 2*l**3 - l**3 - 2*l**3.\nAnswer: 40*l**3 + 123*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 85 divided by -4156.\nAnswer: -85\/4156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 4 + 5 + sqrt(5).\nAnswer: sqrt(5) + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -865 - -1496. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-20)\/(-9) - 6\/27. Suppose q*w = -z - z + 42, 5*w - 97 = -3*z. What are the prime factors of w?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43 - (69 - (36 - 19) - 26)\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0)**33*y**3*y*y**(-9)*y assuming y is positive.\nAnswer: y**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((-4 + -2*sqrt(405) - (sqrt(405) + 0 + 1))*4 + ((sqrt(405) + 1 + sqrt(405))*-5 - (-4 + sqrt(405)*3)))**2.\nAnswer: 9450*sqrt(5) + 253562","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1010803?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 + 2*t - 5. Determine j(-3).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**4 + 4*a**4 - 2*a**4 + (1 - 1 - a)*(-3*a**3 - 3*a**3 + a**3) + (1 + 2*a**2 - 1)*(2*a**2 + a - a).\nAnswer: 11*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**2 - 42*y + 354. Let b be v(7). Solve 0 = b*i - 13*i - 10 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y**3 + 50*y**2 - 97 - 128 + 0*y**3 - 2*y**4 + 226 to the form u*y**4 + n*y**2 + q + s*y**3 + z*y and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m**3 - 223*m**2 + 87*m - 258. Calculate the smallest common multiple of 176 and r(74).\nAnswer: 704","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 2)*(f**5 + f**2 - 2*f**2 + 154*f - 108*f).\nAnswer: -f**5 + f**2 - 46*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the third derivative of j**6\/24 + 121*j**5\/6 + 17995*j**4\/6 - 74420*j**3\/3 - 2*j**2 + 72. Factor k(c).\nAnswer: 5*(c - 2)*(c + 122)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**3 - 14*z**2 + 12*z + 13. Let w be d(13). Suppose -5*s - j = -5*j, w = 2*s - j. Solve 0 = -s*y - 3*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -13*q**2 + 2*q - 4. Give d(3).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 364011?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -18\/25, 0, 4, -0.6, 443?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 plus 209?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 689 + -669 - (3 + 2 + -2)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5\/4 (b) 20 (c) -41 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.62 (b) -4 (c) -7\/5 (d) -0.3 (e) -132\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2891\/3 - 941. Find the common denominator of -55\/28 and p.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3792376663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {n: 5, r: 4, w: 7, y: 2}.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282331.\nAnswer: 7, 53, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 358234, 2865761, 9671902, 22925965, 44777258?\n\"Answer: 358218*x**3 - x**2 + 4*x + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1014*n - 2417 = 807*n + 5485 - 657 for n.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8262226*f**2 + 10257615*f wrt f.\nAnswer: -16524452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + 22 - 10 = 0. Let j(m) = m**3 + 4*m**2 - 2*m - 5. Let y be j(p). Solve 10*c + y = 5*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -1\/2, -1798.5, 5, 14, 1\/3, 0?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14531, -14535, -14541, -14549, -14559, -14571, -14585?\nAnswer: -14601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (66 + -121 - -55).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (662 - 69*t - 662 + (2*t - 5*t + 2*t)*(-3 - 1 + 3))*(3*t**4 + 3*t**4 - 7*t**4).\nAnswer: 68*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 13451 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*a**5 + 27*a**4 - 291*a**3 + 693*a**2 - 432*a = 0. What is a?\nAnswer: -16, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (7*i + i - 3*i)*(1 - 8 + 1)*(1 - 1 - i) in the form v + k*i**2 + g*i and give k.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 3*x**3\/5 - 8*x**2\/5 - 3361*x\/5 + 1122 = 0.\nAnswer: -33, 5\/3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 4 - 4 + c to the form j + s*c and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 2*v - 7 = 0, -220*u - 3*v = -224*u + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 10*r - 17. Calculate the least common multiple of 1*(-1)\/(2\/(-4)) and i(7).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 279*m + 3*m + 57*m - 2*m - m + 4*m + (-m - 5*m + 4*m)*(-2 + 5 - 4).\nAnswer: 337*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 502404 is divided by 19?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-8))\/(6\/(-4)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/12)\/(6\/9)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 138947?\nAnswer: 19, 71, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -18 (b) -5 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 1464348*x**2 + 11714928*x + 23429952.\nAnswer: -3*(x - 488124)*(x + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -85413 by 213.\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 106 and -454.\nAnswer: -48124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -37 + 48. Suppose h*b = 454 - 102. Let r = -1 + 0.8. Put r, b, 0.2, -0.4 in increasing order.\nAnswer: -0.4, r, 0.2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 4, w: 5}. What is prob of picking 2 w and 1 m?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-441 + 1361 + 19626169*g**4 - 19626175*g**4)*(-1 + 2 + 1) to h + m*g**4 + u*g**3 + l*g + d*g**2 and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/215485164 or -1?\nAnswer: -1\/215485164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 0)\/(-3 + 4). Let b(i) = 5*i**2 + 2*i + 1. Let y be b(h). Let n(l) be the first derivative of l**3\/3 - 2*l**2 + 2*l - 4. Calculate n(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) 5 (c) 1 (d) 3\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1076 by -1.\nAnswer: -1076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.1017487 decades?\nAnswer: 0.01017487","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42669*p - 42669*p - 3*p**2.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4714367?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*f + 853 + 1370. Calculate the lowest common multiple of 52 and f.\nAnswer: 988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5985 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: Let b = 30 - 28. Suppose -20 = -3*d - b*d. Let i be (d + -4 - -14)\/22. Does i = 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 853 is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 14*x**3 + 44*x**3.\nAnswer: 59*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 1 - 3*u**2 + u**2 + 3*u**2 + 0*u - u. Suppose 3*c = -0 + 12. Let y be v(c). Solve 0*o + 15 = 5*o + f, 3*f = o + y for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 80*p + 180.\nAnswer: -5*(p - 18)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 83.67725 millilitres?\nAnswer: 0.08367725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/4)\/((-12)\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 - 94977*u - 39 + 21.\nAnswer: -94977*u - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2293, -4574, -6855, -9136, -11417, -13698?\nAnswer: -15979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -1507800.547 to the nearest 10000.\nAnswer: -1510000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57494 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 60*t + 180*t - 57*t - 69*t**2 - 63*t to the form o*t + v + b*t**2 and give b.\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -115848 divided by -18.\nAnswer: 6436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 714*s**3 - 2639*s**2 wrt s.\nAnswer: 4284","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - 9*q + 12. Suppose u + 2*b + 1 + 2 = 0, -15 = 2*u + b. Let k be l(u). Is 4 a factor of 2\/(-3) - (-164)\/k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55816*k = -55801*k - 1455. What is the remainder when k is divided by 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 241 + 209. Let t = -1 - -4. Suppose -129 = t*x - i. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the first derivative of 19*x**4 - 24*x**3 - 92. What is the third derivative of k(a) wrt a?\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 887290118 divided by 1010581\nAnswer: 878","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence el when two letters picked without replacement from {u: 1, l: 4, z: 7, e: 6}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 6 - -57c04ae?\nAnswer: 57c04b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, -169, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6037 - -6038. Is m greater than 2\/575?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -36.4536 to the nearest integer.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 2 = -0*d. Suppose 3*j + n - 54 = 14, 5*j + 2*n - 115 = 0. Suppose d*z = -z + j. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*l = -8*l - 20, -l = 4*s - 21 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2\/(-12))\/(-1 - 0). Let h = -0.037 + -23.963. Let b = -25 - h. Is b equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46382?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-303)*(12 - (-742)\/(-56))\/(220\/(-1056))?\nAnswer: 2\/101","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.011 * 21112.8\nAnswer: -232.2408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p - 6 - 40 = 5*j, 0 = -j - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1138511076?\nAnswer: 2, 3, 61, 1555343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1747111 and 317309?\nAnswer: 3823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -45873 or -43553?\nAnswer: -45873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 298 * 11.9319\nAnswer: 3555.7062","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 - 2)*(-2 - 3 + 3)*(-302 - 27 - 74)*(-2*h + 0*h + 4*h) to s + t*h and give t.\nAnswer: -3224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20112113 + -2444?\nAnswer: -20120112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -2*c + 5*c. Let y(n) = -59*n + 1. Let a be y(c). Let v = -53 + 93. What is the greatest common divisor of a and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16205.8104ms in days?\nAnswer: 0.00018756725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = 2*f + 418, -166 = -2*p + 2*f + 44. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/4*-14 + (-4)\/2. Suppose 0 = -8*d + 11*d - 3*f - 15, 4*d - 3*f = o. Suppose 8\/3 + 4*t**3 + 26\/3*t**2 + 8*t + 2\/3*t**d = 0. Calculate t.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -18*h**2 + 3*h. Let p(n) be the third derivative of -n**5\/60 - 244*n**2. Determine p(j(u)).\nAnswer: -324*u**4 + 108*u**3 - 9*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gcccbzzzzgzczbzgczbz. Give prob of picking 1 b and 3 c.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -67778 - -1?\nAnswer: -67777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 2*k + 8 = 0. Let w be 0 - (-2 + 3 - k). Suppose -3*x + x + 42 = 4*i, 3*i = w*x + 27. Calculate the remainder when 28 is divided by i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 5:57 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55 - 43. Let m(o) = 3*o**2 - 38*o + 24. Let y be m(g). Solve -2*u = y, 3*u - 2*u = -4*r + 4 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 20 = -3*l. Suppose l*z - 49 + 9 = 0. Solve q + z = -q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2.68009 and 0.3.\nAnswer: 2.98009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 54\/72 - 610\/(-8) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wndddnkylkwl. What is prob of sequence yw?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 35*f + 37*f - 174 = 0, -3*k - 4*f = -264. Solve k*v = 32*v + 156 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 514 minutes before 10:20 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1081370475\/70688 + 1214\/2209. Let c = 15296 - j. Calculate the common denominator of c and 151\/12.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -473100 by -150.\nAnswer: 3154","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000464 to three dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 5 (b) 0.7 (c) 1904 (d) 2 (e) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -12 - -38?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 243220082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 + -2 + 4 - 13. Let a = 0.05591 - -0.24409. Sort x, a, 16 in descending order.\nAnswer: 16, a, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 26 and 37193?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m + 20. Is o(9) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of 289*y**5\/15 - 136*y**4\/3 + 128*y**3\/3 + 491*y**2. Determine z, given that r(z) = 0.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16*a*h*w - 243*a*h*x + 34*a*w*x + 2*h*w - h*x - 15*h + 9*w*x + 175*x - 3 with respect to a.\nAnswer: -16*h*w - 243*h*x + 34*w*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.5 or -254?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550257 to the power of 1\/5, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2. Let y(t) = -11*t**2 - 5*t - 5. Let n(a) = 9*a**2 + 3*a + 3. Let j(f) = -5*n(f) - 3*y(f). Determine q(j(u)).\nAnswer: -288*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*m = 4*m + 156. Let h(w) = -w**2 - 4*w + 1. Let t be h(-3). Calculate the remainder when 87\/m + 3\/t is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 168087030 to the nearest integer?\nAnswer: 12965","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 129446, 258889, 388352, 517835, 647338, 776861?\n\"Answer: 10*q**2 + 129413*q + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkwkwkdkkdkdwkhkzwwk. Give prob of sequence dk.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 72847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -66 - -104. Let t = j + -43. Which is the third biggest value? (a) t (b) -3\/7 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.22 - -6.\nAnswer: 4.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/i**(1\/40))**(2\/65)*(i*(((i\/(i**(-7\/6)*i))\/i)\/i)\/i)\/(i\/(i**(-38)*i)))**(-1\/10) assuming i is positive.\nAnswer: i**(11641\/3000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes after 8:38 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/5, -0.3, 1\/40, -678\/943?\nAnswer: -678\/943","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, d: 2, m: 4, i: 2}. What is prob of picking 1 d and 1 s?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7135 - 6960. Solve 4*o + x = -5*m + 178, 2*o = 3*m + 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (56\/210)\/((-6)\/15). What is the closest to -2 in k, 1, -1, 2\/37?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -441335 + 441334 + 0*c + 0*c - 10*c**2 in the form m + u*c**2 + l*c and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-10)*((-42)\/(-56))\/(-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15938, 15978, 16016, 16052, 16086, 16118?\nAnswer: 16148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 44806 and 44807 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3104 is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/4 - (-115)\/(-20). Let x be (-4)\/a + (-16)\/6. Let v(h) = h. What is v(x)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34330996 and 16100.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 678611 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -255*g + 327 = -183 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/22 - (-204)\/33. Suppose -13 = -5*y - 33. Let c = y + g. Solve 0*a = -c*a + 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 27\/(-1)*1940\/(-873). Calculate the highest common factor of 640 and z.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10 and 198?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 172 - 176. Suppose 7663 = 2*q + n, c*n = 3*q - 0*n - 11477. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 481800309 and 4731?\nAnswer: 4731","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*a + 2*a**2 - 19*a - 52*a - 8 + 132*a to the form n*a + w + z*a**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 33689*h**3 - 12043*h**2 wrt h.\nAnswer: 202134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l**2 + 4*l**2 + 4*l**2)*(3*l + 8*l + 6*l) + 60*l**3 - 4*l**3 - 3*l**3.\nAnswer: 121*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (sqrt(5) - sqrt(35)\/(sqrt(14)\/sqrt(2))) + sqrt(605)*1 + 0)**2.\nAnswer: -110*sqrt(5) + 630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**3 + 2*h**2 - 11*h + 1. What is the remainder when j(5) is divided by 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*c*s - 46806*c - 11777*s wrt s?\nAnswer: 2*c - 11777","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of 23*s**8\/20160 - s**5\/6 + 25*s**2. Let p(c) be the third derivative of m(c). Let l(v) = -3*v. Determine p(l(n)).\nAnswer: 207*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 141\/46480 and 89\/6640.\nAnswer: 46480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-1\/5)\/v)**(-16)*(v\/v**(-2\/3))**(3\/2) assuming v is positive.\nAnswer: v**(217\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((0 + (sqrt(6292)*2)**2 - ((sqrt(6292)*1 + sqrt(6292))*6 - sqrt(6292))) + 5).\nAnswer: -125865 + 1210*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26)\/(-42) - (-2)\/(-7). Let t = -33.78 - -1.18. Let n = 33 + t. What is the closest to -2 in -0.3, c, n?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:05 AM and 2:17 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 299*i - 316*i + 153 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -5*o**2 - 6*o + 1. Let u(k) = 16*k**2 + 17*k - 3. Determine 11*m(r) + 4*u(r).\nAnswer: 9*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2 - 101*v - 854. Calculate u(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -83 - -20. Let r = c - -66. What is the closest to -1 in r, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -37 * 530\nAnswer: -19610","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 320 or -30\/3647?\nAnswer: 320","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 12) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 117386*q**2 + 169155*q + 1?\nAnswer: 234772","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83648 is divided by 962?\nAnswer: 916","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a century?\nAnswer: 3300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-4)\/(-10) - (-18)\/5. Suppose -2 + 23 = 3*m. Let t = m + y. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-312)\/195 + 82\/(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 18, -1, -3.51 in ascending order.\nAnswer: -3.51, -1, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -13 + (3 - 6) + -4?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) -3 (b) -0.1 (c) 41 (d) 3 (e) 2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -2546313*n - 5092642. Determine z(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s + 86. Calculate q(-98).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 763?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 33653 at least 33653?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 6\/29, -0.71, -4478?\nAnswer: 6\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 31 = -g, g = 2*z - 3*g + 34. Let q be -3*3\/z*10. Suppose -2*b - 5*s = q, 2*s - 11 = b + 6*s. What is the greatest common divisor of b and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 229513?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (82 - 0) + 5379 + -5501?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the second derivative of 3*t**5\/10 - t**4\/6 + t**3 - 2*t**2 + 3961*t. Let g(n) = -5*n**3 + n**2 - 5*n + 3. Give 3*a(d) + 4*g(d).\nAnswer: -2*d**3 - 2*d**2 - 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 3*k + 2020, -5*c + 19*k = 23*k + 2494. Let o = c + 2009\/4. What is the nearest to o in -1, 3, -1\/3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92685*y + 45 = -92730*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/170101 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*f**5 + 20*f**4 - 116*f**3 - 420*f**2.\nAnswer: 4*f**2*(f - 5)*(f + 3)*(f + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -92 + 42 - 7260*s + 50 to the form t + q*s and give q.\nAnswer: -7260","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) 1 (b) 0.007 (c) 0.05361\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 589, 596, 615, 652, 713, 804, 931?\n\"Answer: o**3 + 588","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 316.8486 nanometers to meters.\nAnswer: 0.0000003168486","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = 9*a + 42, a + 777*i = 781*i - 9 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:48 AM and 1:16 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 14 + -5?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eee when three letters picked without replacement from keoeooeke?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -368\/7 - -2005\/42. Let b = m + 37\/6. Suppose 0 - 8\/3*d**2 - 4*d**3 - b*d**4 + 0*d = 0. Calculate d.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnnnnnnnnnnnnnnnnfn. Give prob of sequence nf.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33\/10 of a century in months?\nAnswer: 3960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 x when three letters picked without replacement from {a: 3, j: 6, x: 8}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 24, 38, 56, 78?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6509*b - 15 = -6504*b - q, -b = -4*q + 22 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 365 is divided by (-22 - -24)\/(1 - 29\/31)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.444 to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 660 = 21*x + 28*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20987, -41965, -62943, -83921, -104899, -125877?\nAnswer: -146855","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 334 a factor of 230975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -226015.7822 rounded to the nearest 100?\nAnswer: -226000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -14, -89, -35.6, 3, -0.4 in ascending order.\nAnswer: -89, -35.6, -14, -0.4, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 2*n**2 - 11*n + 19. Let j be y(6). Suppose 5 = -2*b + j. Let p = b + -9. What is the smallest common multiple of p and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5 - 50179?\nAnswer: -50174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12270 - -12272. Which is the nearest to 0.55? (a) -2 (b) t (c) -1\/8 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*d - 18 = -38*d. Suppose -2*r + 528 = d*r. Let y be r\/15 + (-8)\/20. Let x(w) = -3*w**2 - 4*w - 4. Let s(p) = 3*p**2 + 3*p + 3. Give y*s(j) + 3*x(j).\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -w**6\/3 - 25*w**4\/12 - 1533*w**2\/2 + 2*w - 198. What is the derivative of d(n) wrt n?\nAnswer: -40*n**3 - 50*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2 and -3853.2.\nAnswer: -7706.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**2\/3 + 44*h\/3 + 38.\nAnswer: 2*(h + 3)*(h + 19)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 70906, 567238, 1914454, 4538002, 8863330, 15315886, 24321118, 36304474?\n\"Answer: 70908*d**3 - 6*d**2 - 6*d + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2)*(-3 + 258\/78). Let b = -0.71 + -0.29. Put 1\/6, b, 0.03, i in decreasing order.\nAnswer: 1\/6, i, 0.03, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) -17 (c) 24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17500 + -17499.7. What is the closest to 2\/7 in 0, 77, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 6\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 3 r when four letters picked without replacement from aarirarahee?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 + 5*p**2 + 3*p + 3. Let v = 2 + -6. Let u be z(v). Suppose 0 = -c - 2 + u. Solve -c*l = -0*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0667732 rounded to 4 dps?\nAnswer: 1.0668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -7750 divided by -1550\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**2 - 2*d + 88. Suppose 6*s - 7*s + 3*p + 12 = 0, -p = 4. Is y(s) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4b (base 13) to base 9.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 12103333032?\nAnswer: 12103333030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 1, x: 4, a: 3, d: 2, w: 1, m: 7}. What is prob of picking 1 t, 1 m, and 2 a?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(0*f + 0*f - 3*f) - 2*f - f + 5*f + 6*f - 3*f - f - 1 + 1 - f + (f - f - 2*f)*(-6 + 2 + 2) + 3 - 3 + 2*f - 2*f + f + 0*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**3 + 4*h**2 + 4*h - 1. Suppose -113 = -8*t + 39. Suppose 0 = -y + 4*s + 11, -2*y - s = -6*s - t. Suppose -y*z + 3 = -8*z. What is n(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 163339 or 163337?\nAnswer: 163339","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -156 (base 7) to base 3\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 304 and 606726772?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 86?\nAnswer: 3\/86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**3 + 22*j**2 - 34*j + 50. Calculate w(-24).\nAnswer: -286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, u: 3}. What is prob of picking 2 o and 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-11))**(-14) assuming h is positive.\nAnswer: h**(-168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - -0.09. Let b = -1.3 + 1.44. Let d = b - i. Is 0.1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((8 - 23) + -10).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -534 + 894. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*f + 25*f - 53*f + 5220 = 29*f for f.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -212262 (base 7) in base 2?\nAnswer: -1000111111101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -134b + 18591?\nAnswer: 17242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13238 - -13307.39. Round j to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10243?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 59 - 179\/3. What is the third smallest value in u, 6, -4, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 3*v**2 - 4. Let a(d) = -7*d**2 + 9. Let t(h) = -2*a(h) - 5*l(h). What is the remainder when 2 is divided by t(0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 - 4*i**2 + 4*i - 14. Suppose 32 = 5*q + 4*x, 2*x - 197 = -q - 187. Calculate h(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25 + -12. Let k = 0 + 3. Suppose 15 = 4*i - 3*x, 2*x + 2*x + q = k*i. Calculate the greatest common factor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - -a5b?\nAnswer: a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 269*x + 83 - 83 to w + t*x and give t.\nAnswer: 269","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -26.7 - -28. Let d = c - 1.192. What is d rounded to 2 dps?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by 2654.\nAnswer: 3\/1327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 36270, 72541, 108810, 145077, 181342, 217605, 253866?\n\"Answer: -n**2 + 36274*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 8*z - 23 + 6*z + z - 3*z + 3*z + (1 - 2 + 3)*(-2*z + 2 - 2) - 2*z + 2*z - 2*z as d + v*z and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -77522, -77541, -77560, -77579, -77598, -77617?\n\"Answer: -19*v - 77503","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.00499956 - 0.005. What is x rounded to 7 decimal places?\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 8\/(-12)*15. Let y = 15 - z. Suppose 4*j + 5*u = -0*u + 5, -3*j - 2*u = -2. Sort -5, j, y in descending order.\nAnswer: y, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3 = 15. Suppose 2*n = 54 + 14. Suppose 0 = -12*u + n - 10. Solve -2*a + 5*q + 15 = 0, u*a + 30 = o*q - 7*q for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/6 + (-767)\/(-39) + -16?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v + 60 = -v. Let u be 3\/v*0*-1. Suppose u*d = -5*d - 25. Let r(k) = -7*k**2 + 5*k - 5. Let m(z) = 3*z**2 - 2*z + 2. Determine d*m(w) - 2*r(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*i - 3*i + 18. Suppose 0 = -i*x - 29 + 35. What is the remainder when 50 is divided by x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547 = -62*t + 437 - 798 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.008 in 0.1, -2\/25, 0.3?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 78*q - 63. Let h be f(-38). What is the highest common divisor of h and 689?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 5:27 AM?\nAnswer: 4:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 135.7358cm?\nAnswer: 1357358","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.54 + 0.14. Let c be (65\/78)\/((-5)\/(-4)). What is the nearest to c in y, -5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 5*w + 2*p, -7801*p + 43 = -5*w - 7800*p for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 + -20. Let v = 33 + -65\/2. Sort 2, v, z in decreasing order.\nAnswer: 2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 287081109083 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((1\/1)\/2)\/((-11)\/(-44))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 11*t**3 - t**2 - 4*t + 5. Let q(i) = -6*i**3 + i**2 + 2*i - 3. Suppose 82*a - 77*a + 25 = 0. Calculate a*q(f) - 3*u(f).\nAnswer: -3*f**3 - 2*f**2 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dllv when four letters picked without replacement from vddlddldllllvvlvlv?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.5 - 7.5. Let u be ((-6)\/34)\/(3\/2). What is the closest to 1 in u, k, -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*r + 687 - 732 = 0, -o - 10 = -3*r for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the second derivative of -u**3\/2 - u**2\/2 - 11*u. Give i(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 64 + 81. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 13 - 18 = -5*r, 3*r = 2*x + 1. Let j be 17*((4 - x) + 2). Suppose -59 - j = -3*v. What is the remainder when v is divided by 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-21)\/(-6) + -2)\/6. Sort 15, 2, n, 5 in decreasing order.\nAnswer: 15, 5, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*k + 3*k - 5*k + 4*k - 6*k + k - k + 2*k - 2*k + (-1 + 2 - 3)*(0*k - 3*k + 5*k) + 2*k + 0*k + 0*k + (-4 + 2 + 0)*(0*k + k - 2*k) as t + s*k and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 165 = 33. Suppose 3*b + o = 14*b. Suppose -v = -a - 2205, 7786 = b*v + 3*a - 1020. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344 times 0.631\nAnswer: -217.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3622 + 8134. What are the prime factors of m?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 9*s**2 - 8*s - 155. Let l(y) = y + 2*y + y**2 + y - 3*y - 2*y. Let d(p) = -3*l(p) + w(p). Differentiate d(i) with respect to i.\nAnswer: 12*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (20 - 28)*(-6)\/144?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes after 5:03 PM?\nAnswer: 1:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k**5 + 21*k**4 - 9*k**3 - 69*k**2 - 42*k = 0.\nAnswer: -7, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1030 = 49*k - 44*k + 5*q, 2*k = -5*q + 406. Calculate the remainder when k is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**2 + 7*j - 1. Let x be g(-7). Let h = x + 3. Let w be 38\/8 - h\/(-8). Which is smaller: 6 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 1545108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/311? (a) -5 (b) 0.5 (c) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2821 + 36675\/13. Which is the second smallest value? (a) 1 (b) s (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(162) + (sqrt(162) - sqrt(162)*2))*-2*-1)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1920\/(-32)*10*5\/1375\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 36124 divided by -2\nAnswer: -18062","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((49\/(-196))\/(1\/(-17348)))\/((-1)\/(-5))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 429 - -2?\nAnswer: 431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/3, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**2 + 421681 - 843663 + 56*o + 421982 - 56*o.\nAnswer: 4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z - 3. Let s be m(-7). What are the prime factors of 6\/s*(-28)\/(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 317243564*h**3 + 1127919*h**2 - 6*h?\nAnswer: 1903461384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q + 4. Let p be w(-4). Suppose -r + 0 - 1 = -b, 4*r + 4*b = p. What is the second derivative of 236*n**2 + 6*n - r + 2 - 226*n**2 wrt n?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4987753, -4987718, -4987661, -4987582?\nAnswer: -4987481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -254660.1469 - -254328.1. Let s = 332 + k. Let d = s - -0.046691. What is d rounded to 5 dps?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1 + -24)\/(-11 + 10). Suppose 51 = 3*d + 2*z, -3*d + 2*z + 16 + i = 0. Let b = d + -15. Solve b = 3*c - 2 - 7 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2.37 and -0.04.\nAnswer: 0.0948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -504205 (base 7) to base 12.\nAnswer: -4159a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 82 divide 23320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, b: 1, x: 1, e: 1, k: 1}. Give prob of picking 1 e and 1 i.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.08 - 3.72. Let u = g - 0.2. What is the biggest value in -0.5, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4361950 and 1725?\nAnswer: 13085850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -48, -0.2, -0.039?\nAnswer: -0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1111 by 8.\nAnswer: -1111\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 8443 = y + 8442, 2*d = 5*y - 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (192\/(-3))\/(-8) - -888. Suppose 7*d = g + 3913. List the prime factors of d.\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 - -20. Let h = -111839 + 111872. What is the remainder when h is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**4 + 2*x**4 + 4*x**4)*(7*x - 6*x - 8*x) + 0*x**5 + 3*x**5 - 5*x**5.\nAnswer: -23*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 478 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3217*h - 1696*h - 1547*h.\nAnswer: -26*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -283, -4, -1103, 3 in ascending order.\nAnswer: -1103, -283, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4703357 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 4*m - 2*m + 10, 13 = 2*z + 5*m. Suppose d - 3 - 4 = 4*g, 5*d = -3*g - 11. Let f be z + (d - -1 - 2). Solve f*s = 3*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 7*a**2 - 2*a - 47. Let n(f) = -9*f. Calculate i(n(l)).\nAnswer: 567*l**2 + 18*l - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.69 + -1.09. Let m = -35039\/2364 - 56\/591. Let l = m - -44\/3. Which is the nearest to -1? (a) -3 (b) l (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -188*v**2 + 223*v + 127*v**2 - 423*v + 217*v + 899*v**2 to z + i*v + p*v**2 and give p.\nAnswer: 838","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ikxikkiixiixxjhxkkj. What is prob of picking 1 h, 1 i, and 1 j?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/(-8) - (-30)\/8. Let g = 1 + c. Let b(x) = x**2 - 6*x + 5. Calculate b(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.0206 in -4\/7, -0.3, 4, -2, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -4*d - 4*g + 499, 602 = 5*d - g. Let s = -17 + d. Suppose 0*h = -4*x + h + s, 0 = 4*x + h - 96. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10.775*-2.64\nAnswer: 28.446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 + -6 - -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (-2585)\/25 - (-4)\/(-10). Let o = p - -9. Is 25 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38*f + 75*f - 13 + 13 - 36*f.\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3*1 - -2)\/1. Let j = -1 + s. Let y be (-10)\/(-8) + j\/8. Solve 3*g = 4*x - y, 3*g - 10 = -2*g - 5*x for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14 less than -34.823?\nAnswer: -34.683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.34? (a) 1\/4 (b) 159 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 t when two letters picked without replacement from {g: 3, e: 2, n: 5, t: 1, a: 2, l: 6}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the second derivative of -38*w**6\/15 + w**4\/6 + 178*w**3\/3 + 69*w + 2. Find the second derivative of y(a) wrt a.\nAnswer: -912*a**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -p**4 + 0*p**2 + p**2 + 3*p**4 + 1 + 0 to n*p**4 + x*p**3 + m*p**2 + v*p + u and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-2)\/42*-3). Let z = m - 4. Let f = 8 + 2. Calculate the remainder when f is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*u**2 - 62*u**3 + 4*u - u**2 + 59*u**3 - 3*u to z + g*u**3 + n*u + w*u**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 4*v**2 - 2*v**2 + 12*v**2 - 3*v**2. Let m(d) = d**2. Give m(s(w)).\nAnswer: 121*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 287085029?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-110*v + 57*v - 107*v - 67*v - 40*v)*(5*v**2 - 52 + 52) as f*v + g*v**3 + r + y*v**2 and give g.\nAnswer: -1335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x**2 + 185 + 5*x - 185)*(6*x + 6*x - 24*x).\nAnswer: -24*x**3 - 60*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -2*m - 43586, 0*m + 2*m + 4*h = -43568. What is m rounded to the nearest 1000?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 88166?\nAnswer: 2, 13, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.36 - 67.64. Round a to 0 dps.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a micrometer in nanometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of -f**5\/60 + 5*f**4\/8 - 43*f**3\/6 + 13*f**2. Let i be m(13). Is i != 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyxyxxyxyycc. What is prob of picking 2 x?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1672397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 55003 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -4*r**2 + 122*r - 50. Determine t(30).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 + 11*q + 3. Suppose -15 = 3*z - 3*h, 2*z + 5*h = 3*z + 1. Let b be z\/33 + (-423)\/33. List the prime factors of g(b).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hf when two letters picked without replacement from fffhffhhhfofff.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 - 6*g**2 - 6*g - 5. Suppose -48 + 16 = -8*h. Suppose -h*i - 11 = 2*t + 3, -3*t + 5*i = 10. Determine b(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 450 is divided by 370.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.985 - -0.015. Let p = 8.45 - w. Let c = p - 0.75. What is the smallest value in c, 2\/9, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00054356776 rounded to seven decimal places?\nAnswer: -0.0005436","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (6\/(-12) + 0)\/(2\/(-11516)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2212 and 282120692?\nAnswer: 2212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -580, 4, 95 in descending order.\nAnswer: 95, 4, -580","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*z - 65 = -595 - 485 for z.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + -100?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(-2 + sqrt(392))**2.\nAnswer: -56*sqrt(2) + 391","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4665, -9331, -13997, -18663?\n\"Answer: -4666*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1296\/(-9828) + 8\/(-52).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 1337*u - 8059. Determine b(6).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 10 + 9 = s, 0 = -4*s - 5*w + 61. Let f = 3 - s. Which is smaller: -5 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 - 30?\nAnswer: -2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 y, 1 j, and 1 f when four letters picked without replacement from juyymfuyy.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6 = -8. Let i be t - (15063\/(-21) + 4\/14). Let s = i - -496. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -79, -170, -295?\nAnswer: -454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n + 5. Let p be q(4). Suppose -v + 3*c + 83 = -17, 60 = v + 5*c. What is the highest common divisor of p and v?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the second derivative of y**5\/20 - 5*y**4\/6 - 13*y**3\/6 + 13*y**2\/2 + 636*y. Determine r(11).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*j**4 - 33*j**3*o + 51*j**3 - 11*j**2*o - 15211*o wrt j?\nAnswer: 120*j - 198*o + 306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 822006.9 hours in nanoseconds?\nAnswer: 2959224840000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109 - 63 = 9500*g - 9543*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433071.\nAnswer: 3, 48119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 128329.\nAnswer: 181, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.02720557 - -22.32883557. Let x = 22.3 - v. What is x rounded to four decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - 1)*(-4*w + 2*w - 5*w) - 10 - 2*w - 4*w + 4*w)*(0 + 3 - 1) to k + s*w and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 140143.\nAnswer: 140143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -7*l. Suppose 2*g = 4*h - 0*g - 38, g = 3. Suppose 11*m + 3*m - 28 = 0. Let y(f) = -m*f + 11 - h. Give u(y(q)).\nAnswer: 14*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1330892 by -4.\nAnswer: -332723","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qi when two letters picked without replacement from {i: 7, v: 2, q: 3}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 140\/150*(-4)\/28*6*-40.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 8:24 PM?\nAnswer: 171","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -22483*i - 2000984. What is u(-89)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of 0*a**4 - a + 0*a**2 + 0*a**3 + 0 + 1\/15*a**5 + 2\/45*a**6. Factor s(n).\nAnswer: 4*n**3*(n + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 104 by 26.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b - 3*b + 5*b)*(b**4 + b**4 + 2*b**4) - 3*b**5 - 3*b**2 + 3*b**2.\nAnswer: b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -12.5 - -10.4. Which is the nearest to 0? (a) w (b) -5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -658*f**2*s*w - f**2*s + 13*f**2*w - 6*f**2 + 13345*f*s*w + 7*f*s + f + 9*s*w wrt f?\nAnswer: -1316*s*w - 2*s + 26*w - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m = 51 + 27. Let p be 1\/(-3)*(m - -3 - 5). Which is the second smallest value? (a) 3 (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2717*l**3 - 2*l**2 + 4*l - 3. Let g be w(3). Suppose 9*b = 34263 + g. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 1 = -2. Calculate the remainder when 75\/2 - s\/2 is divided by -3*1\/(-3) - -12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = f - 2 - 4. Suppose 2*n = 3*n - f. Suppose -n*d - 3*x = -3*d - 63, -d = 4*x - 6. Is 13 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w = -68*w + 5*v + 70, -6*w - 110 = 5*v for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -n - 42*j + 44*j, -n = 2*j + 5 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 7 + 8\/6*-3. Let k be m + (-3)\/(-3)*28\/(-4). What is the third biggest value in 0.1, k, 1, -16\/7?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 6 = -6*d. Let q be (-9)\/d + (-1)\/(-2). Let k be (3 - 51\/12)*q. Solve -z - k = 4*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, x: 7}. What is prob of picking 4 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h**5 - 63420*h**4 + 5348452*h**3 - 112402164*h**2 - 5348448*h + 112465584 = 0. Calculate h.\nAnswer: -15939, -1, 1, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3.5 (b) 3 (c) -2\/33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qpq. What is prob of picking 1 p and 2 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/34551 + -4146026\/1623897. Let l = k + -2189\/376. Calculate the common denominator of -47\/18 and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*5*sqrt(1440))\/(4*(sqrt(288) + sqrt(288)*4 + sqrt(288))).\nAnswer: -5*sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*n**2 - 48*n**2 - 39*n**2 + 119*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7af99 + 2?\nAnswer: -7af97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -22 + 17 - 9\/(-1). Let r be ((l + -2)*-9)\/((-26)\/39). Solve 4*h = -4 - 0, 5*j - 2*h - r = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-90321)\/3036*(-11)\/((-231)\/(-24))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 5*r = 4*g + 254, 4*r = 2*g + 140. Find the common denominator of g\/(-27) + (-60)\/45 and -87\/10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13.7 - -82.7. Let t = n + -52.7. What is t rounded to zero dps?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 16 = 0, 3*p + 5*p - 3*p - 44 = 30*g + 256 for p.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 43*t**3 - 49*t**2 + 2*t + 11. Let j(w) = -7*w**3 - 8*w**2 - 1. Calculate a(n) + 6*j(n).\nAnswer: n**3 - 97*n**2 + 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4378051 * 0.3.\nAnswer: -0.13134153","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*g - 5 + 111 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 9:49 AM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3613?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -828646 + 41024*f + 1657288 - 828642 to y*f + z and give y.\nAnswer: 41024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 50436?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 31 - 86. Let v = f + 77. Calculate the smallest common multiple of 8 and v.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 7952872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -55565, -111138, -166711, -222284, -277857?\n\"Answer: -55573*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out -33 * -4.167718.\nAnswer: 137.534694","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o*v**5 - 400*o*v**3 - 11*o*v**2 - 6*o*v + v + 440 wrt v.\nAnswer: -20*o*v**3 - 2400*o*v - 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -11. Suppose 5*o + v*o - 16 = 0. Put 5, o, -6 in descending order.\nAnswer: 5, o, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 at most as big as -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 7*b. Let q(f) = 2*f - 3*f + 1 + b. What is q(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -y - 1. Suppose 3*u = v - 9, -2*v + 11 - 2 = -3*u. Let l be 9\/24*-4*4\/u. Calculate i(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25682 divided by 6\nAnswer: 12841\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**5\/3 + 188*f**4\/3 + 4789*f**3\/6 + 3775*f**2\/6 - 3778*f\/3 + 1106\/3 = 0.\nAnswer: -79, -14, -2, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 111366\/59 less than or equal to 1888?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-44)\/p)**(4\/9) assuming p is positive.\nAnswer: p**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3108 divided by 518\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 5625011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 28\/29 (b) -1579 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 29 and 2142991.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -44840 - -1a?\nAnswer: -44823","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 2*p - 804 = 0, 5*p - 231 = 5*u - 1241. Let c be 18\/15*u\/15. What is the highest common divisor of c and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 10 (b) 4 (c) -0.015\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*f = 82*f - 520 - 845 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -7*w**5\/4 - 38*w**4 - 707*w**3\/4 + 1099*w**2\/2 + 3510*w = 0.\nAnswer: -13, -54\/7, -5, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -251820 - -251823. Factor o*u**3 + 0 + 9\/5*u**2 + 3\/5*u**4 - 3\/5*u**5 + 0*u.\nAnswer: -3*u**2*(u - 3)*(u + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9719 and 14690429382.\nAnswer: 14690439101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*c**3 + 2344*c**2 - 1171*c**2 - 1173*c**2.\nAnswer: 15*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - 14 - (-68 - -26).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dqm when three letters picked without replacement from qsdddqdsm?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(143)*1*-3 - sqrt(143)) + (sqrt(143) - (sqrt(143) - (sqrt(143)*-1 - sqrt(143))*1)))\/(sqrt(121)\/(sqrt(99)*-3)).\nAnswer: 54*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1222 - 1564. What is the second smallest value in 0, -1\/2, f?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6741?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**2 + 137*l - 3047. Let x be n(109). Solve 2*r - 7 = -5*z, x*z + 17*r = 20*r + 27 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*n - 514 = -468*n + 67 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-54)\/(-4)*(-6)\/(-9). What is the units digit of 7\/b + 4\/18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 3 = 3*r. Let y = 2 - r. Suppose -4*z + 3*t = -8, 0 = y*z + 5*t - 53 + 18. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 divided by 8880995.\nAnswer: 36\/8880995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/4 - 27*k\/4 - 81\/2.\nAnswer: -(k + 9)*(k + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 291 by 2.\nAnswer: 291\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 137 + -135. Suppose -4*l - 8 = 0, -2*s + i*l + 20 = 4. Let u(w) = 0*w**2 + 7*w - w**2 + 2*w**2 - 2*w**2. Calculate u(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 2*u**3\/3 + 1. Let v(n) = -4*n + 6. Let w(o) = o - 3. Let z(i) = -2*v(i) - 4*w(i). Calculate d(z(t)).\nAnswer: 32*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.8 - 9. Let g = 3.8 - s. What is g rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.706 * 58.\nAnswer: 40.948","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 2.9\nAnswer: 11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1393249585 and 4030.\nAnswer: 2015","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 798 and 22?\nAnswer: 8778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -59*k - 2. Let f be g(5). Let l = f + 4453\/15. Let q = 1 + -2. Which is the third biggest value? (a) 0 (b) q (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 317321 + -215706. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**3 + 5*w**2 + 55*w - 246. Give b(5).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7281978?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -193.18 + 0.4.\nAnswer: -192.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 15*k + 27. Let h be s(-13). Suppose -13 = -2*y - h. Suppose 0 = 7*t - y*t + 1. What is the third biggest value in 4, t, -1\/4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 2*k - 147. Let v(m) be the third derivative of m**4\/12 - 3*m**2 + 50. What is b(v(s))?\nAnswer: 4*s - 147","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 308 + 294. Does 5 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - 977?\nAnswer: -977.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.2. Let g = 0 - -0.4. Let v = g + -1.4. Which is greater: v or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = 63*h + 1706. What is the tens digit of k(36)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q**2 - 57*q**2 - 27131*q + 27131*q.\nAnswer: -74*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 3*d**2 - 27*d - 202. Let x be (39\/12)\/(4*1\/32). What is the units digit of t(x)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 47988443171.733 + -0.4.\nAnswer: 47988443171.333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-45)\/2))\/(7\/35).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = m + 10*m - 33 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 - 19*t**2 + 2*t + 63. Let b be s(-19). Suppose u + 2*u - 15 = 0. Is 2*u\/b + 1266\/10 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 11*c = -156. Suppose c = 3*v, -2*m - 2*v - v = -1492. Round m to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 2*l**2 + 3*l + 14. Let t(g) = -3*g**2 - 5*g - 29. Calculate 3*t(s) + 5*v(s).\nAnswer: s**2 - 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 0, -9, 2 in increasing order.\nAnswer: -9, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (6\/(-12))\/((1526\/(-8393))\/(5\/(-22)))\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 301*m. Let q(d) = d + 2457. Give s(q(p)).\nAnswer: 301*p + 739557","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.092 rounded to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:25 AM and 9:39 AM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 6 = -2*v. Let s(g) = g**2 - 46*g + 255. Let y be s(9). List the prime factors of v\/15 + y\/(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 39513 and 79781103.\nAnswer: 79820616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {j: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22026970715\/1272 + -17316791. Let c = z - 40\/159. What is the common denominator of -15\/68 and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 90, 111, 138, 171, 210, 255?\nAnswer: 306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9\/2 (b) 0.9 (c) -11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -91 + 94. Let a(c) = -2*c**2 - c**3 + 1 + 3*c**2 - 3*c**2. Let n(u) = 2*u**3 + 3*u**2 - 1. What is j*n(x) + 5*a(x)?\nAnswer: x**3 - x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.034 + 52.514. Let b = z + -48. Let s = -0.18 + b. What is s rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = 2*p - 184, 0 = 26*y - 31*y - 4*p + 233. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 50973.621 and 0.2?\nAnswer: 10194.7242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 240 + 25. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (2 - -4) + -4 + 1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 414\/(-23)*(-5)\/30.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 1\/5, -164, -4406\/9?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2276165555 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: Let m(t) = 4*t**2 + 1. Suppose -4*j - 1 = 3*c, 0 = 5*c - 2*j - j - 8. Let l be m(c). Calculate the highest common divisor of l and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 0 + 450\/64 - 7 and -61\/88?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5920.8234 rounded to the nearest integer?\nAnswer: 5921","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 6. Let k(y) = 2*y**2 + y + 5. Let u(f) = 2*i(f) + 3*k(f). Let n be u(-2). Solve -n = -3*p - 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(19) + 0)*-1.\nAnswer: -sqrt(19) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 9, t: 3, y: 4}. What is prob of sequence ty?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 155\/35 + 16\/28. Put 1, y, 3 in decreasing order.\nAnswer: y, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + 29 + -32 - 38?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 9. Let v be (-252)\/27 - 1\/o. Let j = v + 16. List the prime factors of j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*f + 19613 = 1405. Suppose -3*z - c = -f, -c = -2*z + 2*c + 777. What is the tens digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8\/3, 0, -3, -3\/8, 5, 35 in decreasing order.\nAnswer: 35, 5, 8\/3, 0, -3\/8, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 5*c**2 - 8*c - 2. Let v be s(-6). Let d = v + -7. Let w = 11 - 6. Solve -d*x = 0, -3*x + 25 = -w*y + x for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 841?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3 = -7. Let y(j) = 19*j**3 + j**2 - j + 1. Calculate the smallest common multiple of y(x) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**3 - 18*h**3 + 7*h**3 - h**3 + 2*h**3 + 0*h**3 + (2*h + 3*h - 3*h)*(h + 2*h**2 - h) + 4*h**3 - 3*h**3 + 2*h**3)*(0*h - h + 0*h).\nAnswer: 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8924879 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g - g**2 - 4 - g - 3*g. What is m(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - -5 - 0 - (-10 + 2 - -2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Let a = 28 + -85\/3. Is t at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 180, 5, 1?\nAnswer: 180","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 5:06 PM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 7, 0.5, -0.13, 0, 15\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 546?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 120 - 120. Suppose -f + 5*f - 5*x - 1197 = 0, -5*x - 25 = m. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1692800 rounded to the nearest one hundred thousand?\nAnswer: 1700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 10*g**2 - 19*g. Let a(o) = 3*o**2 - 6*o. Let h(u) = 7*a(u) - 2*b(u). What is the second derivative of h(d) wrt d?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 + 24*q - 9. Let t be h(7). Find u, given that -t*u**2 + 2*u**4 + 7*u**4 + 116*u**2 - 21*u**3 = 0.\nAnswer: 0, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 7*h**2 + 2*h + 1. Let t be i(-1). Suppose 0 = 2*r - 8 - t. Solve 2*f - r*f - 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.3*-2.\nAnswer: -6.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 157434.4 millilitres to litres.\nAnswer: 157.4344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 + 18. Let h = 46 + -43. What is the greatest common divisor of r and h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes before 3:31 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a5 (base 11) to base 12.\nAnswer: -844","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 220265259?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1482*l - 10 = -1477*l - 5*d, -6*d + d = -2*l - 7 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/1836 and -6 - (7 - 16) - ((-1946)\/189)\/(-2).\nAnswer: 1836","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 27150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6314)\/231 - 14)*3\/28.\nAnswer: -31\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**2 + 5909490*f - 153643360.\nAnswer: -5*(f - 1181872)*(f - 26)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/(-56) + 423\/63. Let y be -7 + 7 + b - -407. What is the greatest common factor of 18 and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-4*65\/416)\/((-1)\/(-4)).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 2\/7, -64, 3\/10, -4.4?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 898787486.\nAnswer: 2, 41, 47, 101, 2309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 2584267 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 162431?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 984, 983, 982, 981, 980?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1064 or -1?\nAnswer: -1\/1064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**2 + 6*i - 7. Let f = -18 + 17. Let d(t) = -6*t**2 - t - 2. Let n be d(f). Let a be x(n). Solve 3*v + 6 = -3*k + 3, -k - 5 = a for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (2 - 1) + 2\/(-3). Let m(x) be the second derivative of k*x**3 + 2*x + 1\/2*x**2 + 0. What is the first derivative of m(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 74518997.\nAnswer: 7, 10645571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 + -21. Let d = 1 - x. Let v(u) = 5*u - 8. Let t be v(d). What is the highest common factor of t and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3458 - 3466. Let f(i) = i**3 + 7*i**2 - 14*i - 18. Calculate f(s).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-11))\/(24\/16). Let m = 12.9 + -12. Which is the closest to -1\/2? (a) -0.5 (b) n (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 0) + -1 - (14 + (-1 - 17))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -335*h**5 + 3075*h**2 - 16692*h**4 - 340*h**5 + 16692*h**4 - 9509*h**2 + 5*h**6 wrt h.\nAnswer: 600*h**3 - 40500*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -129.65999 + -0.428.\nAnswer: -130.08799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**4 - 60*d**3 - 192*d**2 + 256*d.\nAnswer: -4*d*(d - 1)*(d + 8)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*f**5\/4 + 87*f**4\/4 + 2451*f**3\/2 + 27849*f**2\/2 + 155805*f\/4 - 216489\/4 = 0. What is f?\nAnswer: -13, -7, 1, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -13*h**2 + 8*h - 24. Let i(z) = -8*z**2 + 5*z - 15. Let k(t) = 8*i(t) - 5*n(t). Let a(y) = 8 + 13 - 3 - 2*y + 0*y. Give a(k(m)).\nAnswer: -2*m**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 6*l**2 - 7*l + 4. Let b be p(4). Suppose 0*n = -2*n + b. Suppose v - 88 = -5*g, 0 = n*g - 2*g + v - 37. List the prime factors of g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.0904 + 3.\nAnswer: 2.9096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 151783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*z + 2*z = -259961. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 + 3*v - 4. Let f be j(-5). Suppose f = 4*z + 3. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 16*q**2 - 270182*q + 1. Calculate u(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 154556168 to the power of 1\/2, to the nearest integer?\nAnswer: 12432","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 87722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put together -47 and -102.885583.\nAnswer: -149.885583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 203*a**2 - 335*a - 1326. Give b(-4).\nAnswer: 3262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -410 + -43?\nAnswer: -453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 482046.54*3\nAnswer: 1446139.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 159723175 to the power of 1\/2, to the nearest integer?\nAnswer: 12638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209365)\/(-589680) - 12\/64 - 35\/245?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.2, 0.5, -1, -2\/7, -9\/14?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 428902?\nAnswer: 2, 214451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**3 - 4*q**2 + 5*q + 4. Let g be s(-5). Let o = 13 - 10. Suppose -2*p = -o - 5. Solve 0 = -4*k - 4*a - 4, 16 + g = -4*k + p*a for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*g - 2, 4*t - 2*g - 3*g = 4. Let v(n) be the second derivative of 2*n**4\/3 + 33*n. What is the units digit of v(t)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 526 is divided by 150.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ywyvvvvvivvyvviv. What is prob of sequence vy?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 29 + (-16 - -10).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l + 176. Let n be a(-11). Solve 2*w = -2*o + 2, 0*o - o - 2*w + 1 = n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 182913 and 478141.\nAnswer: 3209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 5*m - 42 = 3*m, 4*z = 4*m + 92. Let t be (-4)\/z + 0\/(-1). Let c = -3 + 4. Sort t, c, 0.2 in descending order.\nAnswer: c, 0.2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 5*g**2 - 150*g + 35. Let a be d(30). Let h be (6 + 0)*(-6)\/(-9). Suppose a = h*x - 13. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h**3 + 6*h**2 - 4*h + 62. Let o be i(6). What is the highest common divisor of 38 and o?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 612 = 292*y - 161*y - 702, -5*y - 2*t + 42 = 0 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.34 minus -52710?\nAnswer: 52706.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w = -w + 826. Let l(p) = 119*p**2 - w*p**2 + 0 + p - 1. Let h(z) = 3*z**2 + 3*z - 1. Determine -h(b) + 4*l(b).\nAnswer: b**2 + b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*o = -8 + 44, -48 = -4*h + o. Solve -7*f + 4*f - h = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3 - 32*i**2 + 72*i.\nAnswer: -2*i*(i - 2)*(i + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h**3 + 3*h**2 - h - 4. Let u(s) be the first derivative of -s**4\/4 - s**3\/3 + s - 8. Calculate c(d) + 4*u(d).\nAnswer: d**3 - d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-70)*(4 + -9)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*i*u**4 + i*u**3 + 109001*i*u**2 + 2*i + 23998*u**4 + 3*u**3 + 2*u**2 + 3*u - 6 wrt u.\nAnswer: -144*i*u + 6*i + 575952*u + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 50 and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -92 (b) 130 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/100)\/((-5)\/((-25)\/(-2)))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 37 and -393.1.\nAnswer: -356.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-10214)*1\/18. Let s = m + 3814877\/1195038. Let r = 18988 - 228005\/12. Calculate the common denominator of r and s.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3145951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 1 - 1)*(s**2 - 3*s**2 + 0*s**2) + 3*s**3 - 2*s**3 - 2*s**3 + (2*s + 2*s - 2*s)*(-2*s**2 + 2*s - 2*s) + s**3 + 4*s**2 - 4*s**2 + 0 - 6*s**3 + 0.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1114 (base 6) to base 7\nAnswer: -523","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 11:26 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 66391 (base 13) in base 9?\nAnswer: 312007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-39594)\/8)\/((-17)\/((-748)\/(-3))) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 120802 divided by 1.\nAnswer: 120802","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1472094 or -5888381\/4?\nAnswer: -5888381\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 77 = 4*i, k - i - 12 = 13. Suppose -13*q = -127 + 49. Let j be 3*(69\/(-6))\/(q\/(-4)). Are k and j equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2183, 4638, 7107, 9590, 12087, 14598?\n\"Answer: 7*f**2 + 2434*f - 258","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -8 - (25 + (17 - 32))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((85\/51)\/((-875)\/(-1680)))\/((12\/(-110))\/3).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -757 + 6*k + 757.\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*p**4\/4 - 57*p**3\/4 + 123*p**2\/4 - 63*p\/4 = 0. Calculate p.\nAnswer: -21, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.530863 hours to milliseconds.\nAnswer: 12711106.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/5 of a centimeter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes after 12:44 PM?\nAnswer: 6:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -79*l - 70*l + 300*l - 73*l - 80*l. Let b(i) = -5*i**2 + 10*i**2 + 10*i**2. What is s(b(n))?\nAnswer: -30*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-4)\/(-6)*(-435)\/(-10). Let s = b + -57\/2. Let g = 2 + -2. What is the nearest to 2\/5 in g, 1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -34454 + -12?\nAnswer: -34466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 172919245 to the nearest integer?\nAnswer: 557","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 3. Let k(f) = f**2 - 5*f + 3. Let m be k(3). Let l(v) = 11*v - 7. Let h = -3478 - -3485. What is h*a(t) + m*l(t)?\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.618544l in millilitres?\nAnswer: 3618.544","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.4 and 0.08292.\nAnswer: -0.31708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 32\/17955 and 4\/7156863.\nAnswer: 35784315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 18. Let z = -0.117 - -24.117. Let f = z + -23.2. Sort f, q, 2\/11 in descending order.\nAnswer: f, 2\/11, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2916146 a multiple of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 7*n**2 + 2*n + 1. Suppose -5 = 3*m + 2*m. Is l(m) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j**2 + 5*j - 1. List the prime factors of c(5).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 - 0.8. Which is the nearest to 0? (a) 0.1 (b) -4 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes after 10:37 PM?\nAnswer: 9:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5486 - -4291. List the prime factors of w.\nAnswer: 3, 3259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u**(-6)*u)\/(u\/((u\/u**(3\/5))\/u)*u*u))\/((u\/((u**(5\/4)\/u*u)\/u))\/u**(-6)))**26 assuming u is positive.\nAnswer: u**(-3991\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76))**2*-2*6*4.\nAnswer: -3648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1999862, -3999719, -5999580, -7999445, -9999314, -11999187, -13999064?\n\"Answer: -2*g**2 - 1999851*g - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 45768?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (9 - (1 - -7))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, 0, -625 in increasing order.\nAnswer: -625, -1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 132 + -177. Let h be (7 + 999\/b)*10\/(-2). Calculate the greatest common factor of 190 and h.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 1a6?\nAnswer: 1aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 27327431 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 210.1888 millilitres in litres?\nAnswer: 0.2101888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 2:01 PM?\nAnswer: 6:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -136*x + 273*x - 7 = -5*y + 134*x, 43*y + 27 = -4*x for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 3745774636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2210 + 22022020110?\nAnswer: 22022100020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/990939? (a) -0.3 (b) 0.11 (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + -3 + 4 + -7 + 2. Let v be (-4)\/(-16) - (-125)\/(-20). Put 4, 3, i, v in descending order.\nAnswer: 4, 3, i, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the first derivative of -h**4\/4 + 13*h**3\/3 - h**2\/2 + 36*h + 34. Let w be u(13). Suppose -w*n = -29*n + 1128. What are the prime factors of n?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s - 36. Let x be l(19). Suppose 0 = -p + x*h + 20, -6*p - 4*h = -5*p + 4. Round p to zero dps.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 185*a + 2355. What is y(-12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 620 and 855.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*a = -10*a + 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 69.61593 decades in months?\nAnswer: 8353.9116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 370 and 592?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-9)*-6*6. Let s be -10*2\/i + 12. Solve -2*z = -5*r + s + 6, 3*r - 6 = 3*z for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170*y**5 - 27*y**4 + 5*y**2 - 83435*y?\nAnswer: 3400*y**3 - 324*y**2 + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 - -23. Let g(a) = 11*a - 6. Let p be g(6). Let r = p - b. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-111) - 1542\/222. List the prime factors of (15 - 1)\/((-7)\/1274*p).\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 485, 2, 0 in descending order.\nAnswer: 485, 8, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 42 + 80 - 42 = 0. Solve 5*a - 5 = -s*g, 3*g - 17 = a - 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*t - 8*t. Let l be 21\/2 + (-3)\/t. Let x be 198\/l + (-5)\/(-25). Calculate the highest common factor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 37 = 31. Which is smaller: x or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**2 - 6*r**2 - 2 + 8*r**2 + 0*r**2 - r**2 - r**2 + (0*r - r + 0*r)*(r + 4 - 4) + 2 - 2*r**2 - 2 as a + j*r + h*r**2 and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 2 - 4)*(-4 + 1 + 20 - 3*g) - 15*g - 21*g - 8*g - 3*g + 2*g + 0*g to the form i*g + a and give i.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 278*y - 936 - 1010 = 0 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - 3*u + 31. Suppose -14*s + 426 = -8*s. Suppose -s*y + 69*y = 0. Calculate the remainder when k(y) is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 377 divide 5899679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:42 AM and 4:32 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 38 - 36. Solve p*j + 12 = 6*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1714, 1704, 1680, 1636, 1566, 1464, 1324, 1140?\nAnswer: 906","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 22 = 2*h, 0 = -36*r + 22*r + 16*r - 2 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -355 - 269. Are -208 and o equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/58 + (-891)\/(-957). Sort -33, 15, a in descending order.\nAnswer: 15, a, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2535.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 13599967?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3*-40\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -52 - -49. Which is greater: -2 or k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 696 is divided by 233?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 2*k**2 + 57*k + 25. Let u(b) = -3*b**3 - 25*b**2 - 20*b + 28. Let n be u(-7). Calculate q(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-3 + (3 - 11)) - -17.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -593*w - 14234. Calculate u(-24).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51877 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19 and 227?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2387, -7855, -16405, -28037?\nAnswer: -42751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19\/4 of a micrometer in nanometers?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/4*0\/6. Suppose r = -7*s + 2*s + 35. Solve 0 = -5*m - 5*w + 15, 2*w - s = -m + 3*w for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) - (sqrt(243) + -4) - (sqrt(3) - (-4 + sqrt(3)*-2)))*-5)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lug. What is prob of picking 1 g and 1 u?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 13) to base 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence syss when four letters picked without replacement from {s: 1, u: 2, y: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by 3800?\nAnswer: 1\/760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 5*g - 6. Let n(s) = 14*s - 17. Let k(l) = 11*a(l) - 4*n(l). Let h be (-16)\/6*(-18)\/8. Determine k(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6*d - 8. Let f(s) = s**3 - 2*s**2 + 2*s - 1. Let o be f(1). Suppose o = -2*a + 5*x + 3, 2*a + x = 3*a - 3. Solve d*u = a + 6 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -2*j**2 + 88*j - 727. Determine w(11).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 530 - 505. Calculate the remainder when z is divided by 12.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*x**4 + x**4 - 2*x**4)*(-2 + 22 + 10) in the form n*x**4 + j*x + u + l*x**2 + s*x**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b - 17 = -5*d, 90*b = 96*b - 4*d - 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 2*m. Let y(x) be the third derivative of 0*x + 0*x**3 + 7\/24*x**4 + 0 - x**2. Calculate q(y(s)).\nAnswer: 14*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v**2 + 26*v + 18. Calculate l(14).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) be the second derivative of -r**6\/120 + r**5\/60 + r**4\/24 + 4*r**3\/3 - 3*r**2\/2 + 4*r. Let m(b) be the first derivative of p(b). Calculate m(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 14262290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 + 2*f - 6. Let c be a(4). Let g = c - -20. Let m = -5 + 7. Solve 0 = -m*o - o - g for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 817\/38 + (-6)\/(-4). Solve 0 = -4*c - l, 6*m + 30 = m - 2*c for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257340 != 1029359\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(304) + 1)*5)**2.\nAnswer: -600*sqrt(19) + 7825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1158, -0.235, -11\/2.\nAnswer: -11\/2, -0.235, 1158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w. Let c(l) = l + 10345637. What is o(c(i))?\nAnswer: -i - 10345637","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 264 is divided by 90.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -348*(3 - (3 - -1)). Suppose 2*x = 4*n - m, -n + 42 = -2*x - 51. What is the greatest common factor of n and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 4*m + m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -9*c**2. Let l(w) = 3*w + 1100. Calculate l(d(u)).\nAnswer: -27*u**2 + 1100","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Let j be 0 - ((-6)\/(-3) - x). Let l be 3 + j - (-4)\/(-5). Is -1 bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/110 and -71\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*y - 8 - 10. What is the second derivative of 34*g - y*g**5 - 30*g + 3*g**5 wrt g?\nAnswer: -60*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - v - 5*v - 53 = 10*v, 2*v = 3*f - 3*v for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z - 13. Let y be i(0). Let w be 3*y\/((-195)\/20). Solve w = 2*l + 14 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 32.9894 (b) 0.2 (c) 4 (d) 58\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346747304 to the power of 1\/2, to the nearest integer?\nAnswer: 65930","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjyeyekdedkjjdjlle. Give prob of sequence yjej.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 10457652 plus -0.1?\nAnswer: 10457651.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2131703?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3319 is divided by 25?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755 is divided by 431.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 3*v, -5*c - 23 = -5*v + 62. Let t = c - -14. Suppose t*m = 2*n + 6, n + 3*m = 5*m - 8. What is the least common multiple of n and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(0 - -2) - (-36 - (-77 - -41)). Sort 1, -4, g, -6 in descending order.\nAnswer: 1, g, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.43 (b) -2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000002543 to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from addaaaaa.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2192 and 11234.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wuh when three letters picked without replacement from {w: 1, l: 1, x: 2, h: 1, u: 1, e: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2928, -2930, -2932, -2934, -2936, -2938?\nAnswer: -2940","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -3 + 1145*z - 20*z**2 + 14*z**2 - 1146*z. Let c(u) = -7*u**2 - u - 2. What is -4*c(g) + 3*p(g)?\nAnswer: 10*g**2 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 6 = -4*z - 0*z, -2*z - 2*u = -4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -70 + 4 + 2 + (4 - (2 - 2))\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825395 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 23703 divided by 74?\nAnswer: 23703\/74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(5) + -3 + (sqrt(180) + 0)**2 + sqrt(180))*5.\nAnswer: 25*sqrt(5) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1292 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 -11, -38, -99, -206, -371, -606, -923?\n\"Answer: -2*l**3 - 5*l**2 + 2*l - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*n + 99*r - 103*r + 77, -n = 2*r - 13 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 37271291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 2*h = -8, 7*v - 10*v = 2*h - 3. Solve 0 = -v*q - m + 8 + 16, -2*q - 3*m = -20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3*(sqrt(468) + 4 + sqrt(468))*-4)**2.\nAnswer: 13824*sqrt(13) + 271874","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4234642 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*y - 7543, 4*b - 5037 = -4*y + 1007. What is the thousands digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**3 - g**2 - 15*g + 14. Let p be d(4). Suppose a - 12 = -2*a. Suppose 368 = 4*y - a*i, i - 26 = -p*y + 149. What are the prime factors of y?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 127. Let r = g + 26. Let b = r + 45. Put -4\/7, b, -1 in decreasing order.\nAnswer: b, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32*25.\nAnswer: -800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 271 = -59*g + 507 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*p**2 + 23*p**2 - 15*p**2 + 17*p**2 - 17*p**2 - 11*p**2.\nAnswer: -14*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -5*q + 320, 0 = -0*q + 5*q - 4*p - 320. Let n(m) = -2*m**3 + m**2 - m + 2. Let s be n(-2). Let f = q - s. Does 24 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = 4*w + 8, 4*r + 20*w - 31 = 23*w for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7476 is divided by 487?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862169?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7 (b) 1\/5 (c) 4 (d) 1\/9 (e) -5 (f) -18 (g) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-129)\/12 - (-3)\/(-12). Let j = l + 11. Suppose 83 = 4*n + 5*q, -n + q - 4*q + 26 = j. Solve 2*k - 10 = -0*m + 3*m, -5*m - n = -3*k for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10385\/9 - 1157. What is the common denominator of x and 1*-2*1 + (-168)\/(-21)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from isidsssjsiziwzizs. What is prob of picking 1 w, 1 i, and 1 d?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 997 to the power of 1\/2, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(1*sqrt(190)\/(2*sqrt(10)))**2.\nAnswer: 95\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 171, 29, -113, -255, -397, -539?\nAnswer: -681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -290319282.000193 - -290319559. Let c = t + -277. What is c rounded to five dps?\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53 - 11 = -2*i. Calculate the highest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z**2 - 2 - 2 + 4*z**2 + 2*z**2 - z**2 - 4*z**2 + (-3 + 5 - 4)*(z**2 + z**2 - 3*z**2) to the form y + t*z**2 + g*z and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 36 + 1 - 19*l - 28*l + 39*l to i*l + s and give s.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes before 6:20 AM?\nAnswer: 6:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4a6b9 (base 12) in base 6?\nAnswer: 2100353","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 - 4*m**2 - 4*m - 17. Determine v(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -29961, -25992, -22023, -18054, -14085?\n\"Answer: 3969*z - 33930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -750, -5905, -19820, -46851, -91354, -157685, -250200?\n\"Answer: -726*c**3 - 24*c**2 - c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 2*w + 3 + (0 + 1 - 2)*(2*w + 0 + 0) - w - 2*w - w + (-2*w + 1 - 1)*(-2 - 3 + 6) - 4 + w + 4 - 6 to the form q*w + b and give b.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 189078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 - 7*i**2 - 2*i - 10. Let g be c(-7). Sort -1\/17, g, -0.4 in ascending order.\nAnswer: -0.4, -1\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2001\/9625 + -93\/154. Find the common denominator of m and -9\/400.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*k - 2*w + 300 = -157*k, 0 = 4*k + 3*w - 292. Calculate the remainder when ((-1)\/1 - -2) + 164 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 714 is divided by 348.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2\/12603 + 186247\/16804. Calculate the common denominator of 5\/10 - (-29)\/(-12) and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 479398711, 479398708, 479398705, 479398702, 479398699?\n\"Answer: -3*h + 479398714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 32004333021 - -10?\nAnswer: 32004333031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -253 + 100?\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 29891?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*x**2 - 8*x**2 + 7*x**2)*(5*x - 3*x - 3*x)*((2 - x - 4 + 1)*(-2 + 1 - 1)*(8 + 7 - 2) - x + 2*x - 6*x).\nAnswer: -210*x**4 - 260*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - 29) + (3 - 10 - -16) + 35.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7840857 to the nearest integer?\nAnswer: 2800","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3999492 and 4284.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 38740.22 millilitres?\nAnswer: 38.74022","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 118144947?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19219 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:35 PM and 6:32 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -14 + (-3 - -5) + (-144)\/72. Let z(t) = -2*t**2 - 23*t + 15. Give z(w).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d1 + -8911?\nAnswer: -8a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-2)\/(-4) + 0)*34. Suppose t + 3 = u. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9 (base 12) to base 8.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/3)*h*h**(-2\/7)*(h*h**2)**17)**(-9) assuming h is positive.\nAnswer: h**(-3237\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4, 14, 30, 52, 80?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0013281653 rounded to five decimal places?\nAnswer: -0.00133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -n - 3*s - 9, -3*s + 18 = -4*n. Let w be (-75998)\/2 + 3\/n. Round w to the nearest 10000.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 3 + 0 + (-2 + 2 - 1)*(3 - 2 - 2))*(-56*f + 28*f + 30*f) + (2 - 1 - 3)*(f - f - f) - 2 + 2 - f.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 2*c**2 - c + 3. Let i = -204 + 231. What is the remainder when s(-4) is divided by i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:22 AM and 11:46 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 15\/6 + (-3)\/(-6). Let w(r) = r**2 - 3*r + 3. What is the units digit of w(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:12 AM and 6:13 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 4*z + 4 = 0, 0*o + 16 = 4*o + 4*z. Let t(k) = -6*k - 5. Let f(u) = -7*u - 6. Determine o*f(d) - 3*t(d).\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 143510082 to the nearest integer?\nAnswer: 524","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -26 - d?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 56\/(-128)*-4*(-10)\/5\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3 + 0)*1\/(-3)*27 is divided by 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 1:46 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 134040?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 265*v**3 - 311*v**2 wrt v?\nAnswer: 1590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38 - 32. Sort -5, 3, l, 4.\nAnswer: -5, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 319?\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 + 13*p**2 - 4*p + 7. Let g(x) = -x**3 - 4*x**2 + x - 2. Determine -7*g(s) - 2*t(s).\nAnswer: 3*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2979)\/(-63) + (-4)\/14 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 1310*z + 189. Let c(d) = 437*d + 62. Let t(h) = -17*c(h) + 6*u(h). Is t(27) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.7873 to 1 dp.\nAnswer: -9.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000109 to six dps.\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -22492528, -22492549, -22492570, -22492591?\n\"Answer: -21*m - 22492507","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/15 (b) 1075\/57 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 228.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ifjijyhiff. Give prob of sequence ih.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**3 - 7*m**2 + 2*m - 1. Let o be (-6)\/(-7)*14\/3. Suppose 17 = o*l + 53. Is n(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201600 = 34*p - 154*p. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mzzm when four letters picked without replacement from zzkhzkmmh?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5 - 3. Let u(z) = -5*z**2 - z. Let r be u(m). Let n = r + 42. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -6 and -1985778.\nAnswer: -1985784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 w when two letters picked without replacement from {w: 3, t: 2, g: 3, m: 1, i: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txdtxd. What is prob of picking 1 x and 1 t?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1873 + 645?\nAnswer: -122c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 903, 1058, 1313, 1662, 2099, 2618?\nAnswer: 3213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31 (base 6) to base 11.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4 - 33*d**3 + 31*d**2 + 33*d - 32.\nAnswer: (d - 32)*(d - 1)**2*(d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -295.66335 rounded to 0 decimal places?\nAnswer: -296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -20*k - 18. Let l(x) = -20*x**2 + x. Calculate p(l(g)).\nAnswer: 400*g**2 - 20*g - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 = -s + 5*o, -5*o + 95 - 11 = 2*s. Let m(x) = x**3 + 7*x**2 - x - 5. Let w be m(-7). Suppose w*i = -i + s. Is i a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -14 + (98 - 56 - -76) - 2?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*u**2 - 26*u - 7*u**2 - 2*u**2)*(-4*u + 2*u + 1 + 0) to t*u**2 + m*u**3 + f*u + r and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -59*b**2 - 14*b**2 + 17*b**2 - 81*b**2.\nAnswer: -137*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.16 + 0.16. Let y = z + 9.2. Which is the smallest value? (a) y (b) 1\/4 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of 13*k**3\/6 + 2*k. Let z(l) = 3*l**2 - 903*l + 903*l. Determine z(n(q)).\nAnswer: 507*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 23*i - 61. Determine a(10).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 4*o**2 - 11*o - 22. Suppose 4*d + 7*s = 4*s + 1, 0 = 5*d + 5*s - 5. Let u be c(d). Suppose -772 = -5*x - 4*m + 814, 4*m = u. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 180.1854344 and 0.01652.\nAnswer: 180.2019544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.5, -3, -9, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-2\/7)\/h**(2\/7))\/(h**(2\/3)*h*h\/h**(-2\/7)))\/((h*h\/h**(-2\/3)*h*h)**(-2\/85)*h\/(h\/h**(-1))*h**(1\/3)) assuming h is positive.\nAnswer: h**(-4904\/1785)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ltii when four letters picked without replacement from iiloooolootl.\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 15780170?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 43*n - 1. Suppose 31*x + 2858 = 5028. Calculate the least common multiple of s(1) and x.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -40*v - 25 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1579*a**2 - 215*a - 15. Is i(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (645\/(-25) + -4)\/(-1). Let l = c - 29. What is the smallest value in -4, 8, l?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(((sqrt(18)*3 + sqrt(18))\/sqrt(9) + 0)*5 - (-4*sqrt(30)\/sqrt(3))\/sqrt(320)).\nAnswer: -123*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -12*i + 4*i**2 - 56 + 56 = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/225*20)\/(84\/(-378))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 3:17 AM?\nAnswer: 1:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 109 + -106. Find the second derivative of -w**3 + 43*w**k - 36*w - 5*w**3 wrt w.\nAnswer: 222*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -488357 to the nearest 10000.\nAnswer: -490000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/3 - 2) + 4. Let x(m) = -12*m**2 - 147*m - 31. Let z be x(-12). Which is the second smallest value? (a) l (b) z (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 512?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = -18*u - 132. What is the lowest common multiple of u and 2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = 2*z - 1524, 1908 = 3*f + 2*f + 4*z. Suppose -3*p - 62 = 3*g - f, -2*g + 197 = 5*p. Let y = 213 - g. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11242322621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 5*b**2. Let m = 83 + -3. Let s(g) = -3*g**2 - 39*g - 41*g + m*g. Calculate s(l(t)).\nAnswer: -75*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-32)\/(-3) - 2\/3. Let b = 104 + -34. Calculate the greatest common factor of b and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -5 - -34f51?\nAnswer: 34f4c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d + 2*d + 0*d)*(-2012 + 1922 + 1246 - 1 - 1 + 6 + (4 + 0 - 2)*(3 - 1 - 3) - 2 - 4 + 4) - d + 0 - 1 + 2*d.\nAnswer: 2313*d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 11:21 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13512220121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 6*r**2 + 7. Let v be l(-6). Is (v - -2)*4 + -1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 20 - 20 = 0. Solve o = -5*g + 3*g - 6 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 38 = 4. Let z(w) = 44 - 23*w + 0 + 42 + 69 - 6. Calculate the remainder when x is divided by z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111 - 159 = 12*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 4*i**2 + 20*i - 20. Let h be z(-6). Let s(c) = -c**2 + 4*c. Determine s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 13824547 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 257 - 156. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 8*a**2 + 6*a + 1. Let c be f(-6). Suppose -2*o = -3*d + 64, -o - o = 2*d + 44. Let y = c + o. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 4:59 PM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.6 + -0.4. Let a = 1274 - 1274.1. What is the third smallest value in g, a, 5, -2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**2 - 4330*t + 937445.\nAnswer: 5*(t - 433)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1680731 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 5 = 2, a + 1 = 2*h - a - 3*a + 2*a for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 122, -201, -1.\nAnswer: -201, -1, 122","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1010110111001101001110 - -101?\nAnswer: -1010110111001101001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c**2\/5 - 886*c\/5 - 10344\/5 = 0. What is c?\nAnswer: -431, -12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -15 + 11?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*g - 24*t + 23*t, -3*t = -27*g + 21 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.068 * -1.52505\nAnswer: 0.1037034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -640 divided by 4.\nAnswer: -160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-5))**(-11\/4)*(g*(g\/((g*(g**(-9\/2)*g)\/g*g)\/g))\/g*g*g)\/((g\/g**0)\/g) assuming g is positive.\nAnswer: g**(81\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -281.9 - -281.9. What is the nearest to g in -0.02, -5, 9, -4?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 6*l**2 + 28*l + 26. Suppose 0 = -4*i + 4, 34 = 4*g + 8*i - 10*i. Let r be w(g). Calculate the highest common divisor of r and 595.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32 - 32 - 35)*(-z - 3*z + 3*z) as h*z + j and give h.\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -497*d + 26 + 6*d**2 - 15 - 15.\nAnswer: 6*d**2 - 497*d - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*b = -4*y, 5*y = -5*b. Solve -6*r + 0 + 18 = b for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 156.7 - 156.7. Which is the nearest to 3? (a) -4 (b) y (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**2 - 51*w - 392. Let v be o(-40). Solve -50 = 2*f - v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -6*w**2 - 4*w - 6. Let c(x) = 3*x - 5. Let k be c(3). Let p(l) = -5*l**2 - 3*l - 5. What is k*p(a) - 3*j(a)?\nAnswer: -2*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*w + 4*k = 25, -3*w = 8*k + 141 - 134 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 3*x = 1929, 3*x = -r + 873 - 226. What is the remainder when r is divided by 212?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of -k**3\/3 - 13*k**2\/2 - 11*k - 13. Calculate the remainder when s(-8) is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100394057 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2004\/17 - -118. Let b = h - -9\/68. Is 0 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -91\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxy when three letters picked without replacement from yxyyyyyyyyyyyyyyyyyx?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:34 PM and 4:58 AM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 9904*h + 4 = -9909*h, -2*n - 8 = h for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = v - 54, 0*v = -4*k + 5*v - 13346 + 13300 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57 - 207 = 3*k. Let r = -5 - -3. What is the least common multiple of r\/(-9) - k\/9 and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 864 - -4336. Round x to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -936, -1875, -2814, -3753?\nAnswer: -4692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1 + 1. Let b = 20 - 43. Let k = b - -27. Calculate the remainder when k is divided by v.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -90930 or -89950?\nAnswer: -89950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 111\/20 and ((-2)\/60)\/(0 - 4\/(-738))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 777436733 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -356724*k**2 + 46638901.\nAnswer: -713448*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 473361630 + -0.04?\nAnswer: 473361629.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 19403369.1 seconds?\nAnswer: 224.57603125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.0854 + -14156.58563\nAnswer: -14156.50023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:47 AM and 11:56 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 17, u: 3}. Give prob of picking 1 k and 1 u.\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 9:58 PM?\nAnswer: 9:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1624 = -5*s + 4376. Suppose -2*i - 248 + s = k, 2860 = 3*k + 4*i. Suppose -2*j + k = -0*j + 2*x, -4*j = 5*x - 1909. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the first derivative of i**6\/2 + 6*i**5\/5 - 4*i**3\/3 - 55*i**2\/2 + 757. What is the third derivative of z(r) wrt r?\nAnswer: 180*r**2 + 144*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -5, -4, 8, 5, 231 in increasing order.\nAnswer: -5, -4, 1, 5, 8, 231","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add -115933 and -0.1.\nAnswer: -115933.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208) + -2 + -2 + 0 + 0)**2 + (3*(4 + 2 + sqrt(13) + -2))**2 + 3.\nAnswer: 40*sqrt(13) + 488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7453268 by -1.\nAnswer: -7453268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 133 + -85. Calculate the highest common factor of 156 and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1804630*m - 1804622*m + 4*g + 92 = 0, 3*m - 5*g + 67 = 0 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 - 7*k**2 - 3*k - 19. Let c be b(-7). Suppose -i = 4*v - 0*v - 17, -3*i - 4*v + 27 = 0. Suppose u - c = i. Solve -5*g - u - 13 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3091576.55 to the nearest 10000.\nAnswer: 3090000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*c + 2415 - 7563 = 0 for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(224) + sqrt(56))\/((sqrt(24)\/sqrt(3))\/sqrt(4)))\/((sqrt(100) + sqrt(100)*1)*3*-2).\nAnswer: -11*sqrt(7)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*-1 + 1 - (2*-3*sqrt(11))**2.\nAnswer: -395 - sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 4*f - 52 = 4*q, -q = -5*f - 61. Suppose -4*b + q = -64. What is the highest common factor of 30 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -18*u**3 + 5*u**2 + 14*u - 9. Let x(v) = -20*v**3 + 5*v**2 + 16*v - 10. What is -8*w(m) + 7*x(m)?\nAnswer: 4*m**3 - 5*m**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521829.\nAnswer: 3, 7, 11, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 4796 - 3643 - 1260*w - 156*w**2 + 4139 - 4*w**3 = 0.\nAnswer: -21, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 147 divide 45662398?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*l - 4664 = 7136. Calculate the highest common factor of l and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 215531847 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + -16. Let w = p - -74. Suppose -w = -5*j - t - t, 5*t = 0. Is 12 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 576 and 72?\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-2) - (12\/8)\/1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 a and 1 x when four letters picked without replacement from {x: 6, o: 6, a: 3}.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - 17 - (-541 - -501).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2))**(-17))**(1\/25)\/((y\/y**1)**(-2\/49))**(-3\/34) assuming y is positive.\nAnswer: y**(-17\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -12 - 19 - 5*g**4 - 9*g**4 - 8*g**4 wrt g?\nAnswer: -88*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 351*u**5\/2 - 159*u**4 - 97*u**3\/2 + 26*u**2 + 6*u = 0.\nAnswer: -1\/3, -2\/9, 0, 6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 206, 0, -82, 1 in descending order.\nAnswer: 206, 2, 1, 0, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 48\/5 of a micrometer?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence glg when three letters picked without replacement from lgg?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/36036 and 52\/77.\nAnswer: 36036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 21 by 230.\nAnswer: 21\/230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + k = 22, -q = -8791*k + 8787*k - 11 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*o = 556, 0 - 2 = o. Let y be -4*(w\/(-16))\/(-1). Let m = y - -167. What is the tens digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-99)\/66)\/(6\/(-404)). What is the highest common divisor of 1717 and g?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3\/17 - -285\/119. Let z = -29 + 49. Suppose d = 6*d - z. Is d smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (232\/(-32) + 6)*-4. Solve 0*w - w - i - b = 0, -4*w + 5*i = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1177660856?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 22\/3 + -3 - 0?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 215.1 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 + 3)*(300*z + 379*z - 766*z).\nAnswer: -174*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5.29 - -6.99. Let g be 1\/(-2) + (-2)\/(-2). What is the third biggest value in g, j, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 1 - 11. Let n(w) = -2*w**2 + 3*w**2 - 4*w**i + 0*w**2. Let u(l) = 10*l + 11. Let b(o) = 2*o + 2. Let h(k) = 11*b(k) - 2*u(k). Calculate h(n(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -34 - -32. Let d be f + (57 - 2) + 3. Calculate the greatest common factor of 21 and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2*l + 40. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -11. Suppose -u = 2*a + n, 6*u - 4*a = 3*u + 38. Suppose 11*v - 7*v = 48. Calculate the greatest common divisor of u and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194682674?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/(-4) - (-47)\/(-2). Let t be ((-20)\/80)\/(2\/r). Suppose -54 = -t*u - 0*u. Calculate the remainder when 51 is divided by u.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 26\/22 - 18\/99. Let v(k) = 2*k**3 + k**2 - 2*k + 1. Let o be v(h). Suppose -107 = -0*d - d + o*y, 483 = 5*d + 3*y. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 56 divided by -7.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*16*(-187)\/34*22\/121?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -179*i + 2787. Give g(11).\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 31063, 15, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -37524? (a) -8\/3 (b) 0.1 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/18 - (-99)\/81. Do h and 3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, -34, 14, 0.\nAnswer: -34, -2, 0, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 14\/3*q**3 + 0*q + 91 + 139\/2*q**2. Find the second derivative of c(t) wrt t.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.5355543 and 0.02?\nAnswer: 3.5555543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -11 + -22?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 472000 = 5*m - 13*m. What is m rounded to the nearest one thousand?\nAnswer: -59000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/13 (b) -1\/5 (c) -1\/2 (d) 1.4 (e) -2\/5 (f) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31983, 31926, 31869, 31812, 31755?\nAnswer: 31698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t**3 - 4*t**3 + 9*t**3.\nAnswer: 10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(95)\/sqrt(5)*-3)**2.\nAnswer: -6*sqrt(19) + 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -31*v + 27. Let p(u) = -38*u + 19. Let f(w) = -4*b(w) + 3*p(w). Calculate f(21).\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 1233\nAnswer: 2\/1233","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -217 - -5?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 26928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kekekkcckkcke. Give prob of sequence eeec.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 29*d - 1054 = 31*d for d.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*j - 48*j + 29*j - 8*j + 26*j - 3.\nAnswer: -26*j - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/600 and -107\/1800.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Calculate the remainder when g is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 104 (b) 2 (c) 15 (d) -1\/4 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 45 = 435. Let w be (2\/(-5))\/(3\/y). What is the units digit of (0 + w\/10)*10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -321, 2, 0, -5 in ascending order.\nAnswer: -321, -5, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssy when three letters picked without replacement from {t: 2, s: 2, f: 3, y: 4}.\nAnswer: 4\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 450992 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 28*l**4 - 28*l**4 - 3*l**5 + (-548 + 548 + 259*l**4)*(0*l - 2*l + 0*l).\nAnswer: -521*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1041 - -2002. What are the prime factors of n?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14958 + -9042. Let c = -63 - -80. Let y be (1\/(-2))\/(c\/j). Round y to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of p**3\/6 + 18*p. Let x(c) = c**2. Determine v(x(h)).\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-780)\/(-182) + 2\/(-7). Solve -f + 12 = 5*r, 4*r - r + 2 = h*f for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 243 + 222*a - 199*a - 145 - 98.\nAnswer: 23*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*f*t**2 + 2*f*t - 165507*f - 517*t wrt t?\nAnswer: -30*f*t + 2*f - 517","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(91)\/(sqrt(7) + sqrt(84)\/(sqrt(48)\/sqrt(4))) + 5 + -1 + -3*(sqrt(1300) + 1 + sqrt(1300) - sqrt(1300))**2.\nAnswer: -3904 - 119*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3\/13 + 86*f**2\/13 - 80*f + 2400\/13.\nAnswer: -2*(f - 20)**2*(f - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are -21 and -13024\/613 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 69633 - -1?\nAnswer: 69634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-12)*((-100965)\/20)\/127?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1700909 and 161.\nAnswer: 39120907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 979.\nAnswer: 11, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 357314 divided by 9403?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r - 5 = 16. Let n(d) be the third derivative of 1\/2*d**4 + r*d**2 + 0*d + 1\/15*d**5 + 0 + 2\/105*d**7 - 4\/3*d**3 - 1\/10*d**6. Factor n(z).\nAnswer: 4*(z - 2)*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7150.55 take away 21?\nAnswer: 7129.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 - 7*j + 6. Let b be u(6). Let c(l) = l + l + b*l. Let y(o) = 4*o**2 + 2*o - 2*o. What is c(y(i))?\nAnswer: 8*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 229373 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -23 - -13. Let a = 19 + n. Let y(d) = 14*d**2 + 19 - a - 10. Let j(v) = -v**2. What is y(j(i))?\nAnswer: 14*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/4 - 5) + 9. Suppose 6*t = -h*v + 3*t + 370, t + 148 = 2*v. Which is the biggest value? (a) -0.3 (b) v (c) 1 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 2*n**2 + 6*n + 1. Let z(a) = -8*a**2 - 12*a + 33. What is 3*x(h) + z(h)?\nAnswer: -2*h**2 + 6*h + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:14 AM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 + 3*u**2 - 4*u**2 + 25*u**2 + 26*u**2 + 16*u**2 - 3*u**2 + u**2 + u**2 + 2*u**2 - 3*u**2 + 0*u**2 + (-u - 3*u + 2*u)*(0*u + 4*u - 2*u).\nAnswer: 59*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3 - -8) + -16 + (53 - 14) + -6.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 9:25 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26361 - 60*u**2 + 13099 + 13262.\nAnswer: -60*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 AM and 10:06 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 - (2\/(66\/(-291)) + ((-330)\/11)\/(-15)).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5509.1277 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 15 = l, 6*j = j + 5*l + 15. Let v(u) = -u**2 + 2*u + 6. Let k be v(j). Let y(m) = 2 - m - 1 + 0*m. Give y(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159*u + 29681*u**2 - 29677*u**2 - 159*u.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(80) - (sqrt(5) + (sqrt(500) - -2*sqrt(500))))**2.\nAnswer: 3645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 5038433?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the third derivative of q**5\/60 + q**4\/6 + q**3 - 9*q**2. What is the least common multiple of 46 and y(-4)?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 175334, 353947, 532560, 711173, 889786, 1068399?\n\"Answer: 178613*l - 3279","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 w when two letters picked without replacement from {q: 2, o: 5, w: 1, t: 1, s: 6}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (16\/6)\/((-1)\/(-3)). Suppose 5*g + 149 = -126. Let a = i - g. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 258 + -248. Let j(n) = n**2 - 9*n - 6. Calculate j(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14648 and 1556.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 735 - 7331\/10. Calculate the common denominator of j and (581\/14)\/(3 - -4).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/(m*m\/(m*m\/((m**(-7)\/m)\/m)))*(m\/m**(-2\/3))\/m*(m*m**(1\/6)\/m*m)\/m**(-4)*(m**(-1\/11)*m\/(m**(-7\/3)*m))**(9\/7) assuming m is positive.\nAnswer: m**(8647\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -577 + 583. What is the greatest common divisor of 166 and n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40685 is divided by 13561.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017091 to four dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*m**2 + 8 + 15 - 4*m**4 + 5*m**2 - 21 + m**3 in the form c + l*m**3 + f*m + x*m**2 + y*m**4 and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f - 18. Calculate the greatest common factor of 6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681 = -4*v - 3*v - 3*w - 561, -3*w = 5*v - 84 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmrymmhm. Give prob of sequence mymm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3880 divided by 45390?\nAnswer: 388\/4539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -25.82925 + 18.9724. Let t = 17.75764 + h. Let r = t - 10.9. Round r to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14453 + 1939 = 2049*i for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -655 + 655.0000578. What is g rounded to 5 dps?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45.38156 days to minutes.\nAnswer: 65349.4464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -199*x**2 + 70*x**2 + 17*x**2.\nAnswer: -112*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 AM and 11:16 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 PM and 4:07 AM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 466686?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 82.6 - 503.6. Let d = 426 + v. Is d < -5.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74.8405 rounded to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2034 - -2066)*15\/(-40)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 136, 7, 24, 4, 3.4, -3\/4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.0532328 + 12.9471172. Let b = -1.6 - -14.6. Let a = d - b. What is a rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u - 5*i - 2 = 0, 106*u = 104*u + 3*i + 14. Solve -8*q + 13*q + 12 = c, 9 = c - u*q for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -12*i**3 + 38*i**2 - 13. Let w(d) = -6*d**3 + 19*d**2 - 6. Let l(f) = -6*n(f) + 13*w(f). What is the third derivative of l(h) wrt h?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.42 + 0.439. Let r = m + 5.181. Let b = 1.7 - r. Round b to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 - z**2 + 2*z + 1. Let b(k) = -2*k**3 - 2*k**2 + 5*k + 2. Suppose 15*i = 71*i + 112. Calculate i*b(w) + 5*o(w).\nAnswer: -w**3 - w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14654*770.\nAnswer: 11283580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/21, 32, 0, -10 in ascending order.\nAnswer: -10, 0, 1\/21, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 23207257 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(3 + -2 - 0). Suppose -t - t = -w + 8, 5*w = -s*t + 40. Suppose -p - o = -9, -3*o + w - 21 = -5*p. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 + 677*b**2 - 24295*b + 8281. Give w(639).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14 + -1)*((-371)\/21 + 9). What is the highest common factor of u and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**2 + 27*s - 27. Let w(p) = -11*p**2 + 41*p - 40. Let k(t) = 8*o(t) - 5*w(t). Let u be k(9). Let v(f) = -f**2 + 5*f - 2. Give v(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444*r - 450*r = -6468. Is r a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - 0)\/(2 - 3). Let z be -6 - (-1 + i + -2). Which is the nearest to -1\/3? (a) z (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -74867 or -74862?\nAnswer: -74862","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36352 = 1497*l + 7061 for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 - 3*i - 2. Let x be c(-3). Suppose -4*t = t - x. Calculate the remainder when t is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5 + 37*q**4 - 4*q**4 + 4*q**4 + 3*q**4 wrt q?\nAnswer: 160*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*i + 9 = -a - 24*i, -2*a - 6 = -4*i for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30649730 is divided by 2759?\nAnswer: 2758","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 286 - (0 + (1 - -3))\/(-2). What is the highest common divisor of l and 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -321610 (b) -1 (c) -3 (d) -132\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 974, 978, 984, 992?\nAnswer: 1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*v + 11, 3*v - 10 - 6 = 5*l. Let r(m) = -90*m + 54. Calculate the remainder when r(l) is divided by 23.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*t + 185*t - 642 - 396. Let v(l) = -10*l + 1. Let u be v(-2). Calculate the greatest common divisor of u and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 748 and 493.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 + -7. Suppose i + 3*v = -3, -i + 2*v + l = -6. What is the units digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10577679 or 10577680?\nAnswer: 10577680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve h + 9 = 36*o - 40*o, 4*h - o + 2 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2013962145 by -5.\nAnswer: -402792429","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 39 = 2*f, -137*f + 139*f = 4*v - 48 for f.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/30*(1\/(-3) - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 - (2 + (-5 - 0)). What are the prime factors of w\/(-25) - (-234)\/10?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 14. What is the second derivative of 3*h**2 + 5*h**3 - 3*h**3 + 25*h + 4*h**2 - 1 + h**w wrt h?\nAnswer: 12*h + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 543066, 1086135, 1629204, 2172273, 2715342?\n\"Answer: 543069*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 1345326760 divided by -33633169\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 670*o - 73028. Let m be f(109). Let n be ((-21)\/9 + 2)*-3. Determine a, given that 1\/4*a**3 + m*a - 5\/4*a**2 - n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9293963 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -2*v + 5. Let b(i) = -4*i + 10. Let t(w) = -6*b(w) + 11*j(w). Let k(h) = 7 + 4 - 4*h + 0*h. Give 6*k(x) + 13*t(x).\nAnswer: 2*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 18960 + -18959.60107. What is p rounded to three decimal places?\nAnswer: 0.399","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5 = -5*q, 21*j + 10 = 23*j - 2*q. Suppose n - 2*z - z = 15, -4*n = j*z - 26. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4584)\/(-6)*(-3)\/(-12) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 times -9119?\nAnswer: 15502.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15639450 and 5248?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - d + 17. Let g be l(-5). Let i(k) = -2*k - 4. What is i(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 2*s**3 + 450*s**2 + 1776*s + 1768 = 0?\nAnswer: -221, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 62458147*q**4 + 11805408*q.\nAnswer: 749497764*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 264 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1980)\/(-95700)*10*(-40)\/(-48)?\nAnswer: 5\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/202 (b) 100 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 812 is divided by 257.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -4*p. Let c be (-222)\/(-18) + 2\/(-6). Suppose -q - 2*q + c = 0. Let h(k) = 0*k + 2*k - q*k. Determine h(u(o)).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 542 = -3*j - 661. Let k = j + 401. Solve 21*q - 18*q + 15 = k for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 11718098.\nAnswer: -11718098","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l**2 - 14*l - 14. Let i be (0 + (-22)\/(-4))*2. Let v(y) = -6*y**2 + 5*y + 5. Let n be (0 - -2)\/((-1)\/(-2)). Determine i*v(w) + n*a(w).\nAnswer: 2*w**2 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 96327?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209446468 divided by -1170092.\nAnswer: -179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 4*h + 173. Let b(f) = 4*f + 157. Let g(l) = -11*b(l) + 10*c(l). Let o(t) = t. Let v(p) = -p**2 - 5*p + 2. Let z be v(-4). Calculate z*o(n) + g(n).\nAnswer: 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 6*o**2 - 1 - 15*o - o**4 + 3\/20*o**5 - 1\/2*o**3. Factor i(q).\nAnswer: 3*(q - 4)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 304\/380*(14\/4 - 1). What is the second derivative of -89*m**3 - 3*m - 8 + m**2 - 6*m**2 - 3*m**2 + 8*m**q wrt m?\nAnswer: -534*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j + 11 + 3*j - 8. Let p(n) = -n**2 + 3*n - 1. What is the least common multiple of t(6) and p(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 * 0.141.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n**3 + n + 2. Let z(j) = 21*j**3 + 2*j + 4. Let t(w) = 5*s(w) - 3*z(w). Let x be t(-1). Solve 4 = -4*h - x for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 0.3, -1, 8 in decreasing order.\nAnswer: 8, 0.3, 1\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b + 1. Let r(l) = -5*l - 8. Calculate -c(z) + r(z).\nAnswer: -4*z - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 2. Suppose o + 0*o + 21 = 0. Let w be (o\/6 + 3)*-8. What is the nearest to 1 in a, w, 3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 1 + 1a78?\nAnswer: 1a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 = -303*j + 306*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -106.8113 or -0.17?\nAnswer: -106.8113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in -1\/3, 1.9, 80, 0.06?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -2326080 divided by -80\nAnswer: 29076","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 1 = 4*z. Let b(n) be the second derivative of n**6\/120 + n**5\/120 - n**4\/24 + 2*n**3\/3 - n. Let o(t) be the second derivative of b(t). Give o(z).\nAnswer: 3","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: In base 11, what is -5194a89 + -11?\nAnswer: -5194a9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -4) + -10 + (-3 + 1 - -5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 7013 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 2, r: 2, k: 2, b: 2, c: 3, w: 1}. Give prob of picking 1 k and 1 q.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 82020 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 7*r**2 + 5*r + 22. Let z be w(21). Suppose -z = -6*j + 2360. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 44, 1\/4, -0.3, -322, 0, 0.3, -63\/2?\nAnswer: -63\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-6)\/(-4))\/(12\/32). Let i(r) = 2*r + 2. Let z(c) = c**3 + 13*c**2 - 14*c + 1. What is the least common multiple of z(-14) and i(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*p - 16*p + k - 7 = -33*p, -p = -5*k - 2 + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**2 + 6760*h + 2856100.\nAnswer: 4*(h + 845)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 30116.\nAnswer: -3\/30116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 bigger than 684564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 42901.78l to millilitres.\nAnswer: 42901780","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in 1149, 13\/3, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2188264056 a multiple of 773?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 67 minutes before 10:42 PM?\nAnswer: 9:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/37, 0.09, -2\/3, 2\/7, -4 in increasing order.\nAnswer: -4, -2\/3, -9\/37, 0.09, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes after 8:57 AM?\nAnswer: 5:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*t + 21*t**3 - 23*t**3 + 10*t**4 - 123*t**2 + 21*t + 2 + 0 - 1 as s + z*t**4 + g*t + d*t**3 + a*t**2 and give a.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 + 19*j + 120. Suppose -2*f + 49 = -1 + 2. Calculate q(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 77910 - 77920. Let s = -21 + 37. Put g, -2, s in ascending order.\nAnswer: g, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c = 3*u - 33, 2*u = 2*c - 677 + 695 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 1 - k)*(-37*k**2 + 7*k**2 - 98*k**2) in the form f*k**3 + j*k + v + y*k**2 and give f.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**5\/5 - 17544*m**4\/5 + 280536*m**3\/5 - 1542656*m**2\/5 + 673104*m - 2524032\/5 = 0. What is m?\nAnswer: 2, 6, 17528","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71189?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 88\/5 + (-2)\/(-5). Let h = s - 16. Let l(z) = z**3 + 5*z**2 + 3*z + 4. Let q be l(-4). What is the highest common factor of h and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -p**4 - 827*p**3 - 4203 wrt p?\nAnswer: -4*p**3 - 2481*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.5318 bigger than 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-642)\/(-36) - 2\/(-12). Let d = b - 15. Suppose 312 = d*l + 4*p, -l + 4*p + 23 = -97. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 324945209?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*v - 15570 = -15794 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 5 = -30*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38593 is divided by 5530.\nAnswer: 5413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:11 AM and 7:41 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**7\/14 + 7*b**6\/6 + 11*b**5\/4 + 5*b**4\/3 + 7*b**2 + 42*b. Let d(l) = 0. Calculate l.\nAnswer: -8, -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3337.25667 rounded to 1 decimal place?\nAnswer: -3337.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = x + 20. Solve -4*o = -5*f + 11, -o = -x*f - 2 + 13 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*a + x + 5 = -25*a, -5*x = 64*a + 25 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14 - 18. Which is the smallest value? (a) -0.2 (b) -5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*i - 2 + 3*i + 6*i.\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 12 = 0, 4*y + y - 14 = m. Suppose -12 = 3*j, -4*c - 2*j - 3 = m. Solve -c = -v + 5*w - 3, -4*w = -4 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 106542 and 16.8.\nAnswer: 1789905.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) 2\/11 (c) -2\/7 (d) -0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**11*r*r**(2\/9)*r)\/(((r*r**0)\/r)\/r**(-9)) assuming r is positive.\nAnswer: r**(38\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 6*d**3 - 4*d**2 - d. Let a(o) = 19*o**3 - 13*o**2 - 4*o. Determine -2*a(q) + 7*g(q).\nAnswer: 4*q**3 - 2*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 52 and 3968080.\nAnswer: 51585040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**3 - 5*s**2 + 7*s + 2. Let p be c(4). Suppose 23*k - 99 = p*k. Solve m + 3*j + 7 = 0, -3*m - k = 2*m + 3*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8974 to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x**5\/2 - 22*x**4 - 481*x**3\/2 + 65*x**2 + 682*x - 484 = 0. Calculate x.\nAnswer: -22, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 99*h**3 - 81*h**2. Let s(z) = 5*z**3 - 4*z**2. Give 4*b(w) - 81*s(w).\nAnswer: -9*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:14 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7*s**2 + 9*s**2 + 24*s**2 + s - 2*s**2 - s + (3*s - 3*s + 2*s)*(2*s - s + s))*(-90 + 18 + 359 + 323 + 705) to the form v*s + t*s**2 + o and give t.\nAnswer: 36820","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 18. Suppose 3*d + 0 = w. Do 3 and d have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2074\/32275?\nAnswer: -2074\/32275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 7*u**3 - 941*u**2 - 63*u + 8469.\nAnswer: (u - 3)*(u + 3)*(7*u - 941)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 24*y + 0*y**2 + 1\/3*y**3 + 37. Differentiate q(t) with respect to t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2143507 at most 2143516?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: What is 12 + -17 + 17 + (-12 - -9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 102031451177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -11065624 times -0.2?\nAnswer: 2213124.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -2926.27052 less than 81?\nAnswer: 3007.27052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the third derivative of -r**4\/12 - 3*r**2. Let h be z(-2). What is the derivative of h*f + 2*f**2 + 1 - 4*f wrt f?\nAnswer: 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -6878958\nAnswer: -1375791.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 9*a - 2. Suppose 15 = 2*s + s. Calculate the smallest common multiple of f(1) and s.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4040 less than 917415\/227?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -q**4\/12 - 5*q**3\/6 - 3*q**2 + 7*q. Determine r(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18 take away 873.88546402?\nAnswer: -855.88546402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.56 and -155.\nAnswer: -154.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i + 7. Suppose 9*k = 14*k + 35. Calculate r(k).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 161 = s, -4*s = -2*z - 8*s + 170. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g**(-3\/7)*g)\/g)\/g**(-3\/10) assuming g is positive.\nAnswer: g**(61\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 198002?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -52*u + 56*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 70347.\nAnswer: 5\/70347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 46788 to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 565769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5681 - 5680. Let v = -0.04 - 0.26. Which is the closest to -0.1? (a) 5 (b) v (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 513923460.\nAnswer: 2, 3, 5, 97, 227, 389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-88 + 91)\/(3\/13). Suppose r + u*r = 4382. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 + 17 = -4*v. Let o(y) = v*y**2 - 36*y + y**2 + 36*y. Let z(w) be the first derivative of -5*w**2\/2 + 2. What is z(o(k))?\nAnswer: -15*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -349.\nAnswer: 1745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 4*b - 92732, -37554 = -2*w - 2*b + 8828. What are the prime factors of w?\nAnswer: 3, 59, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 6:43 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 19. Let v(w) = 3*w**2 - 4*w + 5. Let a be v(2). Let o = k - a. Which is bigger: 14 or o?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = -20*x - 3744. Let t = x - -351. What is the remainder when t is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0215028l to millilitres.\nAnswer: 21.5028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by -300\nAnswer: 1\/150","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in -1, 2\/7, -7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + u - 1. Let g = -66 - -67. Let l(x) = -2 + 2*x + 6 + 5*x**3 - 7*x. Determine g*l(w) + 6*p(w).\nAnswer: -w**3 + w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 4, 3.711, 0.02, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -6*l**2 - 25. Let p(d) = 4*d - 1. Determine p(n(y)).\nAnswer: -24*y**2 - 101","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**3 - 76*r**2 - 476*r - 980.\nAnswer: -4*(r + 5)*(r + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 14532, 11\/12, -2\/15?\nAnswer: 11\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/y**(-3)*y)\/(y\/y**4)*y\/(y*y**(-1))*y*y**2 assuming y is positive.\nAnswer: y**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36930 and 10.\nAnswer: 36930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the third derivative of -a**6\/180 - a**3\/6 - 5*a**2. Let s(k) be the first derivative of w(k). Let p(z) = 2*z. Give p(s(q)).\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23884874 and 1378.\nAnswer: 1378","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*h**2 - 39851 - 39872 + 119591 - 39868.\nAnswer: 48*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 279 and 3330981?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64*d**3 - 3*d**2 - 11*d + 24 wrt d?\nAnswer: 384*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759230373 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 6*d**2 - 5*d - 3. Let w be k(4). Let x = 42 - 40. Find the third derivative of 9*p**x - 16 - 9*p**6 + w + 7 wrt p.\nAnswer: -1080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1540\/(-672) + (-3)\/8?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 641462583 to the power of 1\/2, to the nearest integer?\nAnswer: 25327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 14387429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 50983390 and 30?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -2. Let j(p) = -3*p**2 - 2*p + 2. Let a(u) = -12*u**2 - 9*u + 9. Let w(y) = v*j(y) - 2*a(y). Let l(k) = -2*k. Determine w(l(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825211 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-8)\/(-16)*1*-2)\/4.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ttqgqgoqott. What is prob of picking 2 q?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 63, 389, 979, 1833, 2951, 4333?\nAnswer: 5979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of -s**5\/60 - 7*s**4\/2 - 41*s**3\/6 + 125*s**2\/3 + 2*s + 4326. Factor l(q).\nAnswer: -(q - 1)*(q + 2)*(q + 125)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13676879 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39.4 - 39.46. Which is the second smallest value? (a) -4 (b) v (c) -3\/7 (d) 0.2 (e) 33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from viyvpvvipipv. What is prob of sequence pp?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 423, -4, -5 in descending order.\nAnswer: 423, 4, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -17 times 500774?\nAnswer: -8513158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/((-1 + 7)\/6) + 1. Sort l, -5, 16.\nAnswer: -5, l, 16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-999)\/6)\/((-2)\/8). Suppose 3*n = -3*q + f, 0 = 2*n - 3*q - 689 + 225. Is 2\/(-7) + n\/7 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 + 84*s + 2. Let f be i(0). Let j be 4\/(-14) + 23\/7. Suppose -f*w - 42 = -2*o - 0*w, -w - 55 = -j*o. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 a factor of 15378120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-2))\/((-24)\/(-144))*((-3036)\/36)\/23?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.08 - -0.2. Let r = -13.3 - -8.4. Let f = r + 5.9. Are u and f equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0331 - -0.0356. Let g = w + -0.0025. Which is greater: 81 or g?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88801447533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7009640 and 66230?\nAnswer: 1790","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = 3*k - 12. Let s be (1\/k)\/((-5)\/40)*-3. Is 14*(s - 135\/(-2)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15920 and 2840?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 3*t**2 - 10732*t + 53644. What is d(5)?\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 6:50 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27.1 + 27.1149. Let w = 0.1149 - s. Which is the closest to w? (a) 1\/7 (b) 0.3 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**3\/2 + 186792*b**2 - 5814834942*b - 23262328536.\nAnswer: -3*(b - 62266)**2*(b + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6777 is divided by 6410?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1722399797?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -3*w**3 - 6*w**2 - w - 4. Let z(r) = 6*r**3 + 10*r**2 + 3*r + 6. Calculate -7*x(q) - 4*z(q).\nAnswer: -3*q**3 + 2*q**2 - 5*q + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 172*-89433\nAnswer: -15382476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(-2)\/(-16)*1. Which is the nearest to d? (a) -1\/3 (b) -1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*n + 34*n**4 - 91*n**4 + 55*n**4 - 1 + 4*n**2 in the form g*n**2 + t*n**4 + k*n**3 + b*n + a and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.4+1472253\nAnswer: 1472253.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of -93*y**5\/20 - 34*y**2 + 49*y. What is the first derivative of u(i) wrt i?\nAnswer: -279*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 749?\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 348*a - 347*a = 36, -3*b + 40 = 4*a for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 920.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15249\/(-1196)*(20\/3 + -4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33640 + -33641.7. What is the nearest to 2 in -0.2, 1.5, -3, k?\nAnswer: 1.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 5, 2*o - 6 = u - 38. Suppose -3*l + u = -3*z + 7, -4*l = -2*z - 44. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l - 9. Let r be o(-12). Suppose a = r*a - 30. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 31, -13, -4 in descending order.\nAnswer: 31, -3, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 264 or 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*a - 6 = -149*a. Suppose -15 = -4*k - 3. Solve -k = -2*b - i, b - 3*i - a*i - 7 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 38951, -50, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 81\/4 of a litre?\nAnswer: 20250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -5 (b) -12 (c) 1 (d) 1\/3 (e) -207 (f) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2853563 is divided by 807.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 7 = 2*q, -3*q + 0*v = 4*v - 38. Sort -5, q, -1.\nAnswer: -5, -1, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -8.77 * -0.98.\nAnswer: 8.5946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 q when three letters picked without replacement from {x: 4, n: 2, t: 4, q: 2, r: 1, y: 6}?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/((-3)\/(-30)) - (2 - 20\/5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 121742206921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p + 37. Let u be (0 - 0)\/(0 - -2). What are the prime factors of h(u)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 = 3*c - 4*y, -282*c + 285*c = -2*y + 15 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1620, 1590, 1562, 1536, 1512?\n\"Answer: k**2 - 33*k + 1652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -2198678\nAnswer: -8794712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 202623\/21 - (-115)\/345*12\/14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.1874 times 7?\nAnswer: -1856.3118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5880707\/22 bigger than 267305?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kssssk. Give prob of sequence kks.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -18, -62, -134, -234, -362, -518?\n\"Answer: -14*u**2 - 2*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(4*-1*sqrt(128) + 1)**2.\nAnswer: -192*sqrt(2) + 6147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*k - 3*d + 13, -4*k + 5*k = -4*d + 6 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7790480 rounded to the nearest 10000?\nAnswer: -7790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*t**3 - 29*t - 8*t - 86*t + 6*t**4 + 11*t**3 - t**3 wrt t?\nAnswer: 72*t**2 + 78*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 143\/22 + (-3 - 10\/(-4)). Let j(c) = 29*c - 174. Let k be j(b). Solve k = -o - 7*o + 16 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:46 AM and 1:19 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-2) - 1)*2. Let i(g) = 0 + 4 - 1. Let h(s) = -s**2 - 1. Calculate j*i(x) + 2*h(x).\nAnswer: -2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*t + 81*x - 171*x + 86*x = -1090, 15 = 5*x for t.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + z + 2. Let u be s(2). Let q = 420\/11 + -3989\/99. What is the common denominator of q and (-2)\/4*(-249)\/u?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138254.\nAnswer: 2, 3, 13, 14593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*w**4\/11 + 2986*w**3\/11 - 9152*w**2 + 216344*w\/11 - 53664\/11 = 0.\nAnswer: 2\/7, 2, 39, 172","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 647401 to the nearest integer?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**3 + a + 15 + 105*a**3 + 157*a**3.\nAnswer: 268*a**3 + a + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 51251 + -17391. Suppose 3*l + m = 13*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -0.15, 3, 2\/7, -232?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 5*f**3 - 2 + 2*f**2 + 2*f - f - 2*f**3 - 4*f**3. Let c be v(1). Suppose c = 6*t - 50 - 166. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 24 and (-12)\/6*(-7 + -1)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 44.1 in 0.02, 8\/3, 2\/3, -1\/4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -26 + 30. Suppose w + 3 = -0*u - 2*u, -w - 3*u = 3. Let m = -3 - w. Solve m = 4*s + 8, 2*s - p*s = -2*h + 2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j. Let y(x) be the second derivative of 0*x**2 + 0 - 6*x - 1\/3*x**3. What is y(t(f))?\nAnswer: 6*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 4*w - 4*w + 2*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.086 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, 1058, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (3 - 1) + (-1 - -4). Let g = -5.26 + 5.56. Let u = 83\/5 - 17. Which is the second smallest value? (a) d (b) g (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456.8035817 rounded to 1 decimal place?\nAnswer: 456.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4572 - 4572. Let t(h) be the third derivative of h**6\/120 - h**4\/24 - h**3\/3 - 6*h**2. Calculate t(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -173\/3 in 76, 6, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/56 and -73\/104.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 10\/2)*((-63)\/105 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35 + -8 - 5 - (20 + -12) - 93?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 10 - 5 + 3993*z - 4005*z. Give h(-14).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 1368979?\nAnswer: -3\/1368979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*d**2 - 13*d**2 - 7*d**2 + 22*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1011111010 (base 2) to base 8\nAnswer: 1372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -6, -5, 751, -3 in ascending order.\nAnswer: -30, -6, -5, -3, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 41881?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(3\/22))**(-1\/3)\/(g**(-16)*g)**(-48))**(-7) assuming g is positive.\nAnswer: g**(110887\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 9 = -5*x, -3*x + 3 = 3*c - 0. Suppose -5*r + 238 = -64 - 258. Calculate the lowest common multiple of c and r.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -123, 4, -3, 4\/7, -2, -2\/9?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 4*n + 9. What is the tens digit of x(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 910 and 2501590?\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -623 + 627. Let b(r) = -4*r - 6. Let z(t) = -3*t - 5. Determine l*b(v) - 5*z(v).\nAnswer: -v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001473747 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -6\/86969 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17291 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 + 10*q + 56. Let r be s(14). Suppose r = -5*i - 107 + 247. Calculate the greatest common factor of i and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 38 = -2*y, 3*a + y = 6*a + 37. Let w = 7 + a. Let j = w - -8. Is 2 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -322180 divided by -219.\nAnswer: 322180\/219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 2*c + 4*p + 25 = 0, c - 5 = -5*p. What is the second derivative of -2*v**2 + 2*v**2 - 5*v**4 + c*v wrt v?\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 405*u - 409*u - 20 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 7:21 AM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-4)*88\/33. Round k to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83060.3 litres to millilitres.\nAnswer: 83060300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n**2 - 8*n - 16. What is the units digit of u(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o - 59. What is x(-10)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*24*((-124614)\/(-1380))\/129*15\/(-12)?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1090, -3852, -11356, -25978, -50094, -86080?\n\"Answer: -396*u**3 + 5*u**2 - 5*u - 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q**(1\/2)\/q**(2\/9))**(2\/25))**(3\/10))**(23\/3) assuming q is positive.\nAnswer: q**(23\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 9) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -103, 37, 163, 275, 373, 457?\n\"Answer: -7*i**2 + 161*i - 257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of -2*f**3 + 2*f**2 + 2*f + 1. What is j in x(j) = 0?\nAnswer: -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2*r = r - 4, 0 = 5*y + 5*r - 40. Suppose 0 = y*p - 52 - 58. List the prime factors of p.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -50.03 + 50. Which is smaller: i or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 AM and 8:26 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -6291725, -6291717, -6291697, -6291659, -6291597, -6291505?\n\"Answer: b**3 + b - 6291727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.5281 rounded to zero decimal places?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 - 143*d**2 + 2246*d + 2743. Give f(-157).\nAnswer: -4793","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**7*m**6)**20 assuming m is positive.\nAnswer: m**260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b**2 + 10*b - 6. Let i be y(-12). Suppose 2 = -5*p - 3. What is the units digit of ((-6)\/(-4) + p)*i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32281234 to the power of 1\/3, to the nearest integer?\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 3*y**3 - 1759*y**2 - 28292*y - 1200. Determine m(602).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37.32 + 52.32. Which is the closest to d? (a) -3 (b) -0.3 (c) 11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -229743704 to the nearest one million.\nAnswer: -230000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-195 - -202) + (1 - 2) + -1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, q: 12, g: 3, o: 4}. What is prob of sequence go?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 - 9*m - 8. Let x be p(-7). Let l be -5 - (3 + (1 - x)). Is (1 + 126)*l\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 10*q - 7. Let i(s) = s**2 - 11*s + 7. Let d be i(12). Suppose -16 = -4*t, -2*t + 5 = -4*x - d. What is the units digit of u(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5*n**2 + 337*n + 1565. Give u(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*k**3*t - k**3 - 2*t - 1583 wrt k.\nAnswer: -9*k**2*t - 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*j - 13*j - 460 + 1522 + 486 + 33*j**2.\nAnswer: 33*j**2 - j + 1548","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -76945 + 22083304\/287. Let y = -1\/41 + a. Suppose 9*s - 28 = -1. Is y bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -228171785.7 rounded to the nearest one hundred thousand?\nAnswer: -228200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15967.\nAnswer: 7, 2281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 34701227.8 minus -0.1?\nAnswer: 34701227.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 451812358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjjj when four letters picked without replacement from {j: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-5)\/(-70)*48)\/(70\/9065*407)?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 620 = -514. Does 51 divide (1*-2 - 9)\/((-6)\/q)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 0.4, -57?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*c + 15 = -9 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36705 + 36705 + 31209*t**2.\nAnswer: 31209*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2680, -5379, -8096, -10831?\n\"Answer: -9*j**2 - 2672*j + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.316, -0.3 in decreasing order.\nAnswer: 1\/2, -0.3, -0.316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 + 12*c + 3. Let p(r) be the third derivative of r**5\/10 + 11*r**4\/24 + r**3\/3 - r**2. Let f(j) = -5*m(j) + 6*p(j). Calculate f(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 956*f + 949*f + 954*f + 44*f**3 - 2851*f + 1 to the form u*f**2 + k + z*f + d*f**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2\/6443 + -19339\/32215. Which is the second smallest value? (a) 0.039 (b) p (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y - 2. Let r(q) = q + 7. Let m be r(7). Suppose 2*t = 5*s - 23, -m = -3*s + t - 1. Suppose -2*k - 35 = -s*x - 10, -x + 5*k = -30. Calculate j(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 24 = -9*t. Suppose -s + t*s - 70 = 0. Let r be (12\/(-8))\/(1\/(-84)). Calculate the highest common factor of s and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lllp when four letters picked without replacement from {p: 1, l: 5, v: 12}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -162*n + 1. Let c(t) = -3*t**2. Determine i(c(a)).\nAnswer: 486*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29193*u - 29707*u = 12336 for u.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 3*k + 31. Suppose 4*n - 5*i = -0*n + 20, 0 = 4*n + 4*i - k. Is 5 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8225706?\nAnswer: 2, 3, 53, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 115 + -104. Suppose 0 = -f*o + 27 + 94. Suppose 5*i + 1194 = o*i. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 373 divide 2739312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39 - -24. Let l(g) = -3*g + 2 - 2132*g**2 + g + 2133*g**2. Let x(t) = 2*t**2 - 5*t + 5. Calculate m*l(y) + 6*x(y).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(3\/4)\/k*k*k\/((k\/k**(1\/3)*k)\/k)*k)\/(k**(1\/4))**(-3\/16) assuming k is positive.\nAnswer: k**(409\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 269 = 1676. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**2 + 4*i - 1. Let u be s(-3). Let g be 10\/100 - (-1)\/(-2). What is the third biggest value in g, u, -3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 5*x = -55, -3*j + 4*x = -x - 5. Suppose -4*o + 71 = -3*s, -5*s + 0*s = -15. Calculate the smallest common multiple of o and j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*b - 5*b + 9 + 109*b**3 - 54*b**3 - 59*b**3.\nAnswer: -4*b**3 - 3*b + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 44*m - 31. Is x(16) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 5 = -4*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 12*f**2 - 11*f - 5. What is c(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 4 = -4*w, -63*w + 5*x = -58*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2. Let c = -6 + 11. Let w(t) = 4*t**2 + 5*t - c*t. Let y(p) = 5*k(p) - w(p). Solve y(n) = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 + -47*(-1 + 0). Let s = -27 + l. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12.8 take away -192.480091667?\nAnswer: 205.280091667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 2.06. Let b = s + -0.46. Let r = 13\/20 + 1\/60. What is the closest to r in b, -0.1, -2\/3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 1400?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 154*d**3*g - 5*d**3*v - 701*d*g**3*v - 2*d*g**3 + 12 with respect to v.\nAnswer: -5*d**3 - 701*d*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 90696130 >= 90696127?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(25)\/(-1*sqrt(5)*1)*-1.\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 551390 by -2.\nAnswer: -275695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1 (b) -5 (c) 16 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 2*u**3\/5 + 2922*u**2\/5 - 923148*u\/5 - 7571168\/5 = 0.\nAnswer: -1727, -8, 274","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 4*k**2 - 5*k - 1. Let v be z(5). Let d = 12 + v. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17*-0.24.\nAnswer: 0.0408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 14\/13 (b) -6\/11 (c) -0.3 (d) -4 (e) 2\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.713+3418\nAnswer: 3417.287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 6*m + 34 = -5*s, 2*m = -3*s + 28. Let b = 472 - 445. Calculate the remainder when b is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 6\/5 of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 86*k - 371. What is m(4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.5 - 8. Let h(v) = 2*v + 3. Let m be h(-3). Let z be (-1)\/(-5) - ((-122)\/(-35) + m). Which is the nearest to -1? (a) n (b) z (c) -15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28687909 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 196893 by -2.\nAnswer: -196893\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.7, -2\/29, 0.1162 in descending order.\nAnswer: 3, 0.1162, -2\/29, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert -242 (base 12) to base 14.\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tuctcutttutcutc. What is prob of picking 4 c?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98.1 - -93.1. Put -124, s, -1, -3, 2 in decreasing order.\nAnswer: 2, -1, -3, s, -124","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) be the first derivative of -35*d**4\/4 - 15*d**3 + 30*d**2 + 20*d + 98. Solve m(k) = 0 for k.\nAnswer: -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9686.432 kilograms to tonnes.\nAnswer: 9.686432","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 2*s. Let g(i) = 12684*i**2. Determine c(g(l)).\nAnswer: 25368*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**2\/3 + 1134752*z\/3 + 29506256\/3 = 0. What is z?\nAnswer: -26, 283714","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/2)\/((-1)\/5). Suppose 2*z - 23 - f = 0. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -28109?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the first derivative of f**5\/510 - 2*f**4\/51 + 4*f**3\/17 - 54*f**2 - 131. Let p(c) be the second derivative of t(c). What is a in p(a) = 0?\nAnswer: 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 2*v - 2038. Let d(u) = -148085*u. Determine d(i(y)).\nAnswer: -296170*y + 301797230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1045*x**2 + 1116?\nAnswer: -2090*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -9*l**2 - 3*l. Suppose 2*x + 19 - 7 = 0. Let y(r) = -2*r - 8*r - 19*r**2 + 3*r. Let c(k) = x*y(k) + 13*j(k). Determine v, given that c(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.7? (a) -1\/3 (b) -0.7 (c) -4 (d) -0.12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9778 - -9930. Calculate the smallest common multiple of v and 3.\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s**3 + 8\/7 - 34\/7*s + 19\/7*s**2 = 0. What is s?\nAnswer: -4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*a + 3 - 15, 0 = -5*g - 2*a - 23 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5337701 and 398902.\nAnswer: 5736603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (217\/(-372) - 2\/(-8)) + 398091\/9 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72\/3402*96\/(-64).\nAnswer: -2\/63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 8459 = -0*i + 8478, -5*j - 3*i + 72 = -0*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 s when two letters picked without replacement from {e: 6, y: 2, s: 3, b: 4}?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 23 + -16. Suppose -4*y = -i - 0*y + x, 0 = -5*i - 4*y + 11. Solve -3*b - 15 = p - 3, b + i = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -3, 8, 5, -5 in decreasing order.\nAnswer: 8, 5, -3, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1060 in 0.6, 5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -45*u + 720. Let i be l(16). Which is the closest to 4? (a) -7\/4 (b) 2\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*s - 8, -80*h = -78*h - s - 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4824, -2889, -238, 3135, 7236, 12071, 17646, 23967?\nAnswer: 31040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6.4 + 6. What is the third smallest value in f, 1, 5\/3?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 6:54 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 4:08 AM?\nAnswer: 5:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 6612937543 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 154*y - 907. Calculate v(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 6:52 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 2*t, n - 4*n = 2*t - 257. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -32749 greater than -166?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 13683205 to the power of 1\/5, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 4, n: 1, l: 2, c: 2, m: 1}. What is prob of picking 1 n and 1 l?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 + 45*o - 24. Is n(9) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100921437.\nAnswer: 3, 107, 181, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5830 by 11.\nAnswer: -530","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 975 and 134225.\nAnswer: 402675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -5*g**2 + 2*g + 1. Let j be (-120)\/(-10) - 0 - 13. Calculate q(j).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 19*a**2 + 5*a + 23. Let k be -5*((-108)\/20 + 4). Suppose -k = o - 1. Is r(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3\/4 (b) -1 (c) 4 (d) 29 (e) -3 (f) 3.55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/15))**(-2\/3)\/((m*m**(-2\/7))\/((m*m**(-1\/20)\/m)\/m)))**22 assuming m is positive.\nAnswer: m**(-5137\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12\/395, 0.13, -0.5?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) - (sqrt(1088) + -2*sqrt(1088))**2 - sqrt(1088)) + -1 + sqrt(272).\nAnswer: -1089 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggkgk. What is prob of sequence kk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -68*g**3 + 129*g + 197*g**3 - 2*g - 56*g**3 - 54*g**3 as w*g**2 + t*g**3 + n + s*g and give s.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4752787083?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 26*h**3 - h + 1. Let s be o(1). Suppose -2*x - 2*n = -14, -x - x - 5*n + s = 0. Solve 3*l + x*k - 2 = 1, -4*k - 20 = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 5, 4\/7, 1.35, 198 in descending order.\nAnswer: 198, 5, 1.35, 4\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 132810?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2508 by 38.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -114 bigger than -1484\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*m + 1457*m + 1242*m - 3928*m.\nAnswer: 9*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qx when two letters picked without replacement from xiuxiinqonno?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 842 or 847?\nAnswer: 842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 142 is divided by 17?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 7:44 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 2*o. Let b(g) be the first derivative of -13*g**3\/3 - 2*g - 14. Determine d(b(v)).\nAnswer: -26*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -512007 (base 11) in base 5?\nAnswer: -202310230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 41426.\nAnswer: -16570.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f + 53 = 23 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58199 is divided by 87?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 15*b**2 + 273*b - 7. Let u(s) = 13*s**2 + 272*s - 6. Determine 6*o(v) - 7*u(v).\nAnswer: -v**2 - 266*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*x**5 + 73*x + x**3 - 72*x - x**5 + (5*x + x - 5*x)*(x**4 - 2*x**4 + 2*x**4).\nAnswer: 5*x**5 + x**3 + x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/(-44) - (687\/209 + -3).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(9\/4))**(22\/3)*u\/(u**(1\/21)\/u)*u**(-27) assuming u is positive.\nAnswer: u**(-359\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 9 (b) 0 (c) -3 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -a + 2*l + 3, a = -l - 1. Suppose u = a*u - 8. Calculate the least common multiple of u and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d + 9*d + 5*q + 5 = 0, 4*q - 24 = 3*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -5831.777 + 5536.776968. Let f = 295 + r. What is f rounded to six decimal places?\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (42\/(-28))\/(((-9)\/(-16))\/1). Is v greater than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eja when three letters picked without replacement from {v: 9, a: 1, e: 2, q: 6, j: 1}?\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*m - 5*f + 5, -5*m + 42 = 4*f + 11. Suppose 5*r + 5*x - 75 = 0, -m*r = -7*r + x + 65. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12709.0872 and -1.357.\nAnswer: -12710.4442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - ((-612)\/130 - (-2)\/5). Is r greater than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2185272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -54135 + 54151. Let t be 0\/1 + (367 - -1). What is the highest common divisor of t and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 579.4*43\nAnswer: 24914.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/306*(-3)\/2*32\/12?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -4*m + 10, 18 = 5*m + h - 5*h. Let f be (68625\/m)\/((-9)\/(-480)). Suppose -4*c + f = -3*c. Round c to the nearest 100000.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*w + 5290 = 752*w - 12422 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-38)\/6)\/((-77)\/60060*380).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 4:55 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -677\/45 > -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/13*-2*(-9)\/(-144).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6742951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 12 - 61?\nAnswer: -4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 1 n when three letters picked without replacement from {o: 2, a: 7, n: 4, c: 2, r: 2}?\nAnswer: 2\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 53*z - 420. Is 4 a factor of p(56)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = -0*y. Find f such that 3*f**5 + 34 - 34 - 6*f**y + 3*f**4 = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 7:57 AM?\nAnswer: 8:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1315.4*-0.13622\nAnswer: 179.183788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13.8 + 0.8. Let o = 1094.6016 - 1081.6. Let i = x + o. Round i to 4 dps.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**2 + 7*i + 1. Let z = 9 - 2. Let d be g(z). Let j(p) = -p**2 + 3 + 0*p - 3 + p + d. Let o(k) = -7*k**2 + 6*k + 6. What is -6*j(v) + o(v)?\nAnswer: -v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -133*c**3*d*t**3 + 3732*c**3*d*t + c**2*d*t**3 - c**2*t - 6*c*d - 8497*d*t**2 wrt c.\nAnswer: -798*d*t**3 + 22392*d*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -7, -55, -145, -283, -475, -727, -1045, -1435?\n\"Answer: -y**3 - 15*y**2 + 4*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 11, -1, -23, -61, -121?\n\"Answer: -d**3 + d**2 - 8*d + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -43b?\nAnswer: -439","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add -816.99 and -42.15.\nAnswer: -859.14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/24)\/w*w*w\/(w**(1\/5)\/w)*w)\/((w**12\/w*w*w)\/w)**(3\/17) assuming w is positive.\nAnswer: w**(1307\/2040)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 107 a factor of 1640952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 3*i**3 + 4*i - 5. Suppose 12*z - 17*z = 4*a - 25, 3*a + 10 = 2*z. Let w(f) = -4*f**3 - 5*f + 6. What is z*w(d) + 6*v(d)?\nAnswer: -2*d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -3776, -3, 0, -1, 5 in ascending order.\nAnswer: -3776, -3, -1, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of -4*m**6\/15 + m**5\/60 - m**4\/8 - m**3\/3 - 5*m**2. Let f be j(-2). Calculate the remainder when f\/7 + 8\/28 is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3397 and 26144.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 95\/(-76)*(-2)\/(-5). Let o = 1927\/6 - 321. Put -4\/7, o, 3, v in decreasing order.\nAnswer: 3, o, v, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 5 + (2\/2 - 1680\/336)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*1.2.\nAnswer: 50.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1550317 (base 10) to base 2.\nAnswer: 101111010011111101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11219\/3 - 3741. Let g = 24.6 + -28. Let q = 3 + g. Put 2, q, 0.2, v in increasing order.\nAnswer: v, q, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -66 + 0 + 1 + (-42 - -73 - -17) + -62?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33 + 2. Suppose -3*u + 70 = -b. Suppose -4*t - u = -5*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -3*d**2. Let u(g) = -9221690*g**2. Calculate u(b(o)).\nAnswer: -82995210*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1 - -7 - (13 - 11) - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 26*y - 52*y + 2*y**2 + 26*y. Let j(b) = 3*b. Let d = -14 - -21. Let l(z) = 2*z. Let u(i) = d*l(i) - 6*j(i). Give u(r(o)).\nAnswer: -8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-6 + 1 - (520 + -509))*30\/8\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 97.25332t to grams.\nAnswer: 97253320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 292?\nAnswer: 2628","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3132 and 12528.\nAnswer: 12528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/(50\/(-4))*-10. Suppose c = -l*c - 60. Is 15 a factor of (-182)\/c - 2\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*k + 81 = 95 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.3 and 5179662.45117.\nAnswer: 5179662.15117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**3 + 144*p**2 + 1020*p - 539. What is i(-26)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(9\/(-6))\/(-3). Suppose 5*p - 2*p - x + 4 = 0, b = -2*p + 2*x - 4. Is -1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -146 + n + n**2 + 152 - 8*n. Determine f(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 250\/770 + (24\/28 - 1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n - 0*n + 20 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -7*s - 0*s + 11 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i*i**(-18))*i**(-3))\/(i*i**13*i*i)**(6\/13) assuming i is positive.\nAnswer: i**(99\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19315141 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 5071 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-141)\/(-9) - (-5 - -11)) + -7)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -643*w - 89*w = 176*w + 36320 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in 669471, 2, -0.03, -0.2, -2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 538981 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 7, 26134, -0.2, -3\/2 in descending order.\nAnswer: 26134, 7, -0.2, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.4 - -14. Let r = -8 + t. Let v be 1 + 1 + (-20)\/9. What is the third biggest value in r, v, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*h - 3*h. Let v(c) = h - 5*c + c - 1. What is the tens digit of v(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25844 and 1491?\nAnswer: 497","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 222 - 229. Let t(s) = -2*s**2 + 9*s. Let a(b) = -b**2 + 4*b. What is l*a(q) + 3*t(q)?\nAnswer: q**2 - q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -86*t**3 - 7*t**2 - 7*t. Let k(n) = -29*n**3 - 2*n**2 - 2*n. Give -7*k(a) + 2*q(a).\nAnswer: 31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -31, 0.1, -2\/3, 1 in ascending order.\nAnswer: -31, -2\/3, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -b**3\/6 - 194*b**2 - 75272*b - 1281. Let q(z) = 0. Calculate z.\nAnswer: -388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.08 + -0.08. Let k(a) = a - 4. Let l be k(3). Let g = 0.8 - 0.4. What is the second smallest value in p, g, l?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-160)\/8)*-10)\/((-1)\/10)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5*d + 2. Suppose -69*y - 62 = -7*y. Calculate v(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -1.7, -10\/3, 37 in descending order.\nAnswer: 37, 0.5, -1.7, -10\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -225\/7 + 26. Let m be (8\/6 - 0)*3*-15. Find the common denominator of (-3)\/(-4) + 159\/m and s.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -34714 + 34719. Solve x*r = -7*b + 5*b + 4, 3*b = -5*r + 6 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 11*c**3 + 4*c - 7. Let j = -40 - -69. Let m = j + -23. Let x(b) = -b + m*b**3 + 3 - 11 + 4 + 3*b. Calculate -4*r(o) + 7*x(o).\nAnswer: -2*o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from ihyiryq.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 8:08 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -7\/9 (b) -1 (c) -4 (d) 26 (e) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -426*v**3 + 64*v**2 + 449*v**3 - 25 - 64*v**2.\nAnswer: 23*v**3 - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -20, -57, -94?\n\"Answer: -37*h + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-34)\/(-51) + 28\/3)*(-1000)\/2. Is -5000 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4c1 (base 15) to base 14.\nAnswer: 573","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1 (b) 4 (c) -2 (d) 5 (e) -0.064\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2472577, -9890240, -22253011, -39560890?\nAnswer: -61813877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 17\/16563?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -17.031933 or 0.2?\nAnswer: -17.031933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -33, 0, -1\/9443?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 6*x**3 - 3*x**2 - 3*x - 1. Let v be y(-1). Let j(u) be the second derivative of u**5\/20 + 7*u**4\/12 + u**3\/6 + 3*u**2\/2 + 3*u + 6. Calculate j(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -3*m + 106*m**2 - 2 - 11*m - 1. What is the units digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -2*w. Let s = 10 + -5. Suppose s*f + 2*y + w*y - 28 = 0, 0 = f + y - 5. What is the highest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3\/3 + (-140)\/(-2). Let y = -75 + n. Let d be 4\/(-2) - (y - 0). Solve 0*q = q - d for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 6:38 AM?\nAnswer: 11:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*y - 21054 + 42107 - 21053.\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 102*j + 41. What are the prime factors of s(9)?\nAnswer: 7, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d**2 + 327*d - 1277. Let v be p(4). Let y be (-1)\/((-109)\/(-55) - 2). Calculate the greatest common factor of v and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/5)\/(-2)*(-2)\/(-27)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -179*o**2 + 2*o + 1. Let c be u(3). What is the common denominator of -65\/6 and c\/(-160) + (-4)\/10?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2217 - 84*n + 2217)*(10 + 1 + 29).\nAnswer: -3360*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (72\/(-14))\/((-9)\/84). Suppose n = 5*n - 8. Suppose n*q - 6*l - c = -2*l, 2*q - 48 = l. Is 6 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*k**2 - 4*k**2 + 2*k**2 + (-2*k**2 - k**2 + 2*k**2)*(-2 + 1 + 2) + 2*k**2 + 0*k**2 - 3*k**2 - 2*k**2 + 0*k**2 + 0*k**2)*(3 + 0 - 2)*(3 - 5 + 0).\nAnswer: 16*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/36)*l*l)**(-3\/16) assuming l is positive.\nAnswer: l**(-73\/192)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 156, 203, 226, 219, 176?\nAnswer: 91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 11651 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 10, j: 1, o: 4, h: 2, p: 1}. Give prob of picking 1 h and 1 p.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 692 minutes after 9:59 AM?\nAnswer: 9:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -15984 divided by -3996\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g + 5. Suppose -64 = -11*b - 3738. Let y = 364 + b. Calculate the smallest common multiple of l(-3) and y.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -126 divided by -6422.\nAnswer: 63\/3211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (12\/14)\/((-28)\/588). Let h(t) = t**2 + 21*t + 43. Let v be h(p). Is -132\/13 <= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -3*u**2. Let m be ((-1 - -1)\/(-3))\/1. Let y(j) = -2*j + m*j + 3*j. Calculate y(a(l)).\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/2, -16, -2\/7 in decreasing order.\nAnswer: 0, -2\/7, -5\/2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t\/(t*t\/t**(-1\/3)))*(t\/(t\/((t\/(t**10\/t*t))\/t)))\/t)**(-2\/13)*((t**(3\/2)*t*t)**(-35))**(-20) assuming t is positive.\nAnswer: t**(95608\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19570*y - 1287258 = 4242*y + 624754 - 348556 for y.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1488\/7 - 213. Let y = 22 - 26.05. Let p = y - -0.05. Which is the second smallest value? (a) d (b) 0.4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 27266724 - -6?\nAnswer: 27266732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 9170, 39, -25 in ascending order.\nAnswer: -25, 39, 9170","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in years?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 9332 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7704 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*y**2\/5 - 96*y\/5 - 94\/5 = 0. Calculate y.\nAnswer: -47, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*3\/(-6)*(-26)\/39.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 + 20. What is the smallest common multiple of 4 and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 3. Let y(a) be the third derivative of a**5\/20 - a**3\/6 - 266*a**2 + 2. What is y(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3375826179.\nAnswer: 3, 11, 137, 769, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 + 11*l**2 - 4*l - 22. Suppose 0 = 2*y - 4*n - 16, -2*y = 3*n - 1 - 22. Does 12 divide u(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3674*o**3 + 257*o - 1911525.\nAnswer: 11022*o**2 + 257","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 641 - 581. What is the greatest common factor of 288 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*y**2 - 96\/5 + 1\/5*y**4 + 12\/5*y**3 - 182\/5*y = 0 for y.\nAnswer: -16, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -j**3 + 4*j**2 - 7*j + 13. Let l be h(3). Put -3, -4, l, -5 in decreasing order.\nAnswer: l, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 281*p - 115. Let x be a(21). Suppose -2*b - 20*b = -x. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 623835 (base 13) to base 10\nAnswer: 2292867","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 232*m**3 + 0.\nAnswer: -232*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*-217.41243\nAnswer: -17.3929944","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 916*u**2 + u - 888*u**2 + 1762*u**2.\nAnswer: -42*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r. Let a be x(1). Let p = 0 - 5. Let h = p - -2. Sort -5, h, a in descending order.\nAnswer: a, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 257 - 232 - (37 + 6)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-47*h**3 - 45*h**3 + 39*h**3)*(0*h**2 - 2*h**2 + h**2) + (-1 + 1 + 2*h)*(-5*h**4 + 3*h**4 + h**4).\nAnswer: 51*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**3 + 4522989*v**2 - 407087235*v + 9159599475.\nAnswer: 3*(v - 45)**2*(v + 1507753)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60 and 447?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -171*h**2 + 100*h**2 + 95*h**2.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 12:18 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 337*i = 320*i + 4692. Calculate the greatest common factor of i and 483.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*2\/6*(-69)\/23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 36803892859 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/19)\/q*q**(3\/8)*q*q**(10\/13)*q*q*q*q**(12\/7)*q assuming q is positive.\nAnswer: q**(110155\/13832)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, g: 2}. What is prob of sequence nn?\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 6 = 6. Let l = 4 + -2. Suppose -4*f = i + i - 10, -l*f = 0. Solve 4 + p = i*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g**3 - 4*g**2 - 12*g - 20. Let l be b(-2). Put -4, l, -3, 2, -20 in increasing order.\nAnswer: -20, -4, -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 617348960?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24145212042 + -5?\nAnswer: -24145212051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -356431*d**6 + 667*d**5 - 611620*d**2 - 526 wrt d?\nAnswer: -42771720*d**3 + 40020*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 31236.18 hours to microseconds.\nAnswer: 112450248000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-12)\/28)\/3) + 3. Let x(r) = r - 10. Let i be x(f). Solve i = 3*b - 2*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59930251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13288 = -1759*p + 27757 + 29506 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 3*h = 3*x + 23, 3*x = 3*h - 99. Let n = h - 9. Suppose n = c - 13. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40.3 - -40. Which is the smallest value? (a) z (b) -1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.25 + 10.25. Let d = i - 7.5. Let y = d + -3. What is the nearest to 0 in 0.4, y, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 135 = 4*n + n. Suppose 0 = 22*v - 30*v + 72. What is the greatest common divisor of v and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -268891, -1075522, -2419911, -4302064, -6721987, -9679686, -13175167, -17208436?\n\"Answer: -f**3 - 268873*f**2 - 5*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/4 of a meter?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-32)\/96 - ((-3836)\/6 - -1). Let d = v + -325. What are the prime factors of d?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33133.\nAnswer: 17, 1949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is (149014\/3)\/(12 - 374\/33) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 13*m**3 - 19*m**2 - 2*m + 125. Let b(h) = -7*h**3 + 10*h**2 + h - 72. Calculate 7*b(j) + 4*s(j).\nAnswer: 3*j**3 - 6*j**2 - j - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, -2, -236361 in descending order.\nAnswer: 120, -2, -236361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-1))\/(6\/(-18))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 + 2. Let b(g) = -g. Let y(d) = -4*d. Let j(m) = 3*b(m) - y(m). Let l(v) = -8*v - 4. Let p(k) = c*j(k) + l(k). Differentiate p(r) wrt r.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -50*a - 396. Let q be u(-8). What is the smallest value in 1\/5, 13, q?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/((-320)\/(-2880)*(-9)\/(-17))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 21552 - -153125?\nAnswer: 215121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*w + 5 = -33. Let i(q) = -3*q + 6. Let x be i(4). Let b = 8 + x. What is the highest common factor of w and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -116*g**3 - 138*g**3 + 127*g**3 + 7*g - 7*g + 128*g**3.\nAnswer: g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 2*p + 2. Let n be z(-3). Let m = -9 - n. Let t be 2\/m - (-3750002)\/5. Round t to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 2*g + 4*g. Factor g - 2\/3*u**2 + 2*u.\nAnswer: -2*u*(u - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:25 PM?\nAnswer: 1:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.7 + 23.7. Let n = 0.4 - 0. Sort -5, n, m in increasing order.\nAnswer: -5, n, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-16)\/(-5) - 66\/55. Suppose 4*p + 1510 = 5*b - p, z*b - 574 = -4*p. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 540961 to the nearest integer?\nAnswer: 736","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6309.7547 + 2.\nAnswer: 6311.7547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 5) + 10 + (-1 - -13 - 4 - 11).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220 = 16*x - 300 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-6)*1*-1. Suppose -3*g + 0*g = 3. Suppose 0 - 5 = -5*z. Which is the closest to g? (a) z (b) 2 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -64865 divided by 5\nAnswer: -12973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16383?\nAnswer: 3, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.1 + 0.6. Let f = 168 + -175. Let h(o) = 6*o + 40. Let i be h(f). Which is the third smallest value? (a) q (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15.3 + -17.3. Which is the nearest to -8? (a) t (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = -5*v - 30. What is the units digit of ((-8)\/(-4) - v)\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 485 and 43535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 61.97 to the nearest integer.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 7260 to the nearest 100.\nAnswer: 7300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (11*i**3 - i**3 - 4*i**3)*(-3*i + 13*i - 5*i).\nAnswer: 30*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10000 (base 2) to base 15\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 49225759\/7 or 7032251?\nAnswer: 7032251","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9106, 12656, 18580, 26884, 37574, 50656, 66136, 84020?\n\"Answer: s**3 + 1181*s**2 + 7924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18974.08197 - -18974. Round r to 2 decimal places.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1552 and 39.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11731973?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 208*j - 209*j + 5*r, -213 = -4*j - 3*r. Solve 0 = 14*c - j - 44 for c.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 551 + -551.0000005856. What is u rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-6))\/((-20)\/(-60))*-3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/((-27)\/6*-1). Let o be -4*3\/(-1 + -5). Let a be o\/18*-29 + 3. Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 8*b - 7*b - v, 3*b + 9 = -2*v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -248355 (base 13) to base 16.\nAnswer: -d59e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2\/2 + 78055*b\/2 + 3019940.\nAnswer: -5*(b - 15688)*(b + 77)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of 40*q**3\/3 + 55*q**2 - 1613. Find the second derivative of p(s) wrt s.\nAnswer: 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001049912 to six dps.\nAnswer: -0.00105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p - 3579 = -4*c - 3581, -p + 22 = 4*c + 8*p for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -60324.144 to the nearest one hundred.\nAnswer: -60300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/5 - 38\/(-5). Suppose k*u = 19 + 16. Suppose u*g + 13 + 22 = 0. Which is bigger: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5788614 millilitres to litres.\nAnswer: 0.0005788614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 261, -4 in increasing order.\nAnswer: -4, 4, 261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 5*g**2 + 4. Let r(j) = 7*j**2 + 32*j - 96. Let a(w) = 2*w**2 + 10*w - 31. Let i(h) = 16*a(h) - 5*r(h). Calculate m(i(q)).\nAnswer: 45*q**4 + 480*q**2 + 1284","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 12.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 129330142?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 12 = 0, 2*d + 0*d + q = 7. Suppose -3*a + 22 = -d. Calculate the lowest common multiple of a and 9.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10235077253 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b**3 + b**2 + 2*b + 1. Let t(r) = -6*r**3 - 3*r**2 + 3*r - 14. Determine 3*k(c) + t(c).\nAnswer: 3*c**3 + 9*c - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 r when two letters picked without replacement from {r: 9, p: 4, n: 1, v: 2}?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1072 - -1064. Let r(n) = 41*n + 11. Let h(s) = 27*s + 7. What is x*h(t) + 5*r(t)?\nAnswer: -11*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 20*g - 204. Calculate b(9).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 12 + 0)*(-k + 0*k + 4*k + (1 + 2 - 1)*(3 - 3 + 2*k))*(-8*k - 14 + 14) to the form p*k**2 + u + s*k and give p.\nAnswer: 784","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -9*c + 5. Calculate y(-1).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/((2 - 1)\/((-1)\/(-1))). Find the first derivative of 0*z**2 - 6 + 10 + 0*z**y + 11*z**4 wrt z.\nAnswer: 44*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.2. Let z(d) = -d**2 - d + 3. Let p be z(-3). Let u = 539287 + -539291. Which is the second biggest value? (a) q (b) p (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 103942 to the power of 1\/2, to the nearest integer?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/4 - 103*u - 8400.\nAnswer: -(u + 112)*(u + 300)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56 - -60. List the prime factors of ((-12)\/(-15))\/(m\/1160).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 4, -2, -20, 157 in ascending order.\nAnswer: -20, -2, 4, 10, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*d**5 + 20366*d**4 - 3*d**3 - 9*d**2 + 52728 wrt d.\nAnswer: 600*d**2 + 488784*d - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**2 - 6*b - 31. Let f be (-2)\/(-8) + 218\/(-8). Calculate the remainder when 2 - 1*4 - f is divided by s(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8591.81l in millilitres?\nAnswer: 8591810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29734.\nAnswer: 2, 14867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**5 - 1029975*l**4 + 88416915066*l**3 - 2209801845156*l**2 + 1944556249800*l + 4242776040000 = 0. Calculate l.\nAnswer: -1, 2, 24, 171650","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -66*k**2 + 435 + 346*k**2 - 112 wrt k?\nAnswer: 560*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -62028.89 less than -14?\nAnswer: 62014.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12609 is divided by 64.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 1773228.\nAnswer: 19505508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1200 = -3*f - 2*l, -21*f - 780 = -23*f + 2*l. Calculate the greatest common divisor of 1716 and f.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3038860 by 39985.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the second derivative of -u**7\/168 + 3*u**6\/40 + u**5\/5 + u**4\/4 - 10*u. Let h(n) be the third derivative of w(n). Find p, given that h(p) = 0.\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 6*f**3 + 222*f**2 + 11*f + 621. Determine u(-37).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*l + 30*l - 154*l + 25*l + 40*l + 36*l.\nAnswer: 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1631 is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4321 and 261?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-42))\/((-15)\/36*(-37)\/(-185)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7456 - 7454. Solve 0 = i + 5*g + 20, t*i = -2*i - g - 4 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.186 and -0.20174977.\nAnswer: -0.38774977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 2*w**2 - 6*w + 246. Calculate x(12).\nAnswer: 462","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 20793?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-6 - 11 - 115*r + 114*r) to the form z*r + i and give i.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*w + 4*g + 22, 0 = 3*w + 5*g + 23. Which is the closest to w? (a) -5\/4 (b) 2\/23 (c) -4 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -443 + 533. Calculate the remainder when 285 is divided by r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-420)\/10*(25\/5)\/15\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hdbdbbxmmmddcbb. Give prob of sequence bbh.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000663.\nAnswer: 3, 37, 9011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 7. Solve p*t - 2 + 12 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 157*b**2 + 157*b**2 - 308*b**2.\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 4. Let o = 5 + f. Let z(q) = q**3 + 14*q**2 - 33*q - 21. Let k be z(-16). Put o, 0.1, k in decreasing order.\nAnswer: o, 0.1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*i + 3*i + 2*i + (6 + 3*i - 6)*(1 + 2 - 1) + 5*i - i - 5*i + 0*i - i - i + (1 + 1 + 0)*(-i + 0*i - i) + 4*i + 2*i - 4*i.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 202 + -198. Find the common denominator of 59\/72 and ((-3)\/((-2160)\/410))\/(3\/l).\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-4)\/(-3))\/(((-8)\/(-12))\/1). Let k(g) be the first derivative of 0*g**4 + 0*g**h + 0*g**3 - 2\/5*g**5 + g + 1. What is the derivative of k(p) wrt p?\nAnswer: -8*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirty-four fifths of a decade?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10923833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 609 + -607. What is the common denominator of 26\/3 and (32\/(-1200))\/(t\/(-14))?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 100933 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10 - -16. Suppose -5*v = m + t, -4*v - 37 + 13 = -4*m. Is 1 + (v - 2 - -148) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8187? (a) -21 (b) -0.2 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*l + 16105 = 17125 for l.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes after 4:44 PM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-247)\/(-676) + 1\/(-4))*(-1 - -3).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2450 + 5005 = 15*i. Let u = 981 - i. Is 22 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -6, 1, -5 in decreasing order.\nAnswer: 1, 0.5, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 + 4 + (1 - -2))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w + 2*w - w)*(w**2 + w**2 - w**2) - 154*w**3 - 1 + 2*w + 156*w**3 + 4*w**2 - 6*w**2.\nAnswer: 4*w**3 - 2*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (13 - -1 - 2) + 0. What is the remainder when 28 is divided by (s\/(-8))\/(3\/(-20))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70347 and 543444?\nAnswer: 537","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91829 is divided by 271?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + v + 107800000 = 0. Round v to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*m - 4*u + 18, -4*u - 9 = -7*u for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -136502300 or 1\/3?\nAnswer: -136502300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 72*a + 1. Let w(q) = -2*q - 7. Let s(j) = -j - 3. Let c(y) = 9*s(y) - 4*w(y). Let o be c(-1). Is n(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -13. Let f(v) = -8*v**2 - 4*v - 2. Let y be f(p). What is the remainder when 39 is divided by y\/(-3) + (-8)\/12?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000200604 to six decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 2182*o + 194211. Calculate z(-89).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 + 5085*r**2 - 50478*r - 121320.\nAnswer: -3*(r - 1685)*(r - 12)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 259403 or 259402?\nAnswer: 259402","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7*m - 2*m**5 + 3 - m**4 + 4 - 7 - m**2 wrt m.\nAnswer: -120*m**2 - 24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17518 - 11118. What is the thousands digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/14*((-2 - -5) + 4). Is s\/(5*(-3)\/(-3075)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23730, -23742, -23764, -23802, -23862, -23950, -24072, -24234?\nAnswer: -24442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**(-2\/21))**11\/(o**(-8\/5))**(-6\/5) assuming o is positive.\nAnswer: o**(4217\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -7162, -7464, -7788, -8140, -8526, -8952?\n\"Answer: -b**3 - 5*b**2 - 280*b - 6876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -312768, -625538, -938308, -1251078?\n\"Answer: -312770*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 - -67. Suppose -5*f - 94 = i. List the prime factors of (2 - 2) + 1 - f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x + 28. Let u(s) = -13*s - 224. What is u(z) - 6*w(z)?\nAnswer: -7*z - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -24492 divided by -12\nAnswer: 2041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**2 - 4*f + 5. Let i be z(-4). Let b(n) = i + 3 - 4 - n. Let t be b(4). Solve t*y = -y + 5 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 3, 10907 in decreasing order.\nAnswer: 10907, 3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(468) + (sqrt(208) - (sqrt(208) + 2 + sqrt(208))))**2.\nAnswer: 64*sqrt(13) + 3332","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a - 3 - 3 = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1426582*c*n*s + 3*c*n + 871*n*s - 3*n + 9*s + 137 wrt c.\nAnswer: 1426582*n*s + 3*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**2 + r - 12. Let k be g(4). Suppose k + 55 = 5*l. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = l + 7, -123*d - 4*l + 12 = -121*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 119 or 1566\/13?\nAnswer: 119","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + u**2 + 5)*(-2 + 0 + 4)*(3 - 1 - 1).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -307316 rounded to the nearest 1000?\nAnswer: -307000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779957901 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 141915906?\nAnswer: 2, 3, 11, 716747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5 or -33664\/6623?\nAnswer: -33664\/6623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((21\/(-105))\/((-12)\/100))\/((-4)\/(-3))?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, 8\/5, -0.78, 1\/13, 38, -6?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2507 is divided by 72?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 2\/21*v**3 + 1\/28*v**4 - 7 - 1\/2*v**2 + 4\/7*v. Suppose d(u) = 0. Calculate u.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 7*f**4\/4 - 157*f**3\/6 + f**2 + 8. Let p be v(5). Calculate the greatest common factor of p and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -7a1 - -1?\nAnswer: -7a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {g: 9, t: 1, o: 1, a: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 37 times -1\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 34465235 and 4865.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 - -5*(-96)\/(-34)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/349 or 62?\nAnswer: -2\/349","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 1, -1.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**5\/6 + 69674*u**4\/3 - 1618108975*u**3\/2 - 1618201875*u**2.\nAnswer: -u**2*(u - 69675)**2*(u + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/(-96))\/((-5)\/((-500)\/(-3))).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121)\/(sqrt(11)*-2) + sqrt(11) + -2 + (-2*sqrt(11))**2)*4 + ((sqrt(99)*1 - sqrt(99))*3)\/(sqrt(90)\/(sqrt(30)\/sqrt(3))).\nAnswer: 2*sqrt(11) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - x + 302004 = -0*m, -2*x + 181208 = 3*m. Round m to the nearest one thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 6, -2, -82, 8\/3.\nAnswer: -82, -2, 8\/3, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) - ((sqrt(3) - sqrt(75)) + -2) - (2 + sqrt(300)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15135.7 - -15135.767827. What is g rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 22991\/903 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -52 times -2?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18 + -14 - 18) + 13 - -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 304 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001128 to 7 decimal places.\nAnswer: 0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -90037*w - 2521045. What is n(-28)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**4\/c))*c*c**(-2)*c**(-4\/3)\/(c\/(c\/c**(-1\/3)))*((c\/(c**(-2)*c))\/c*c\/c**2)**(-2\/9) assuming c is positive.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-748)\/(-13243) - (-22)\/451?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -40\/7*m - 250\/7 + 2\/7*m**2 = 0.\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/1 - 4\/2. Let v = 3 - b. Suppose -m + 20 = u, m - v = -0*m. What is the remainder when u is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2669249 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 1 + 4 - 4*r - 2*r**2 + r**2. Let a be p(-4). Suppose 96 = 15*c - 9*c. Let g(z) = 6*z. Let v(j) = -2*j. Calculate a*g(d) + c*v(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1359)\/(-4832))\/((-3)\/8).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 + 0*f**3 + 4*f + 6*f**3.\nAnswer: -2*f**3 + 4*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*3*(-4)\/(36\/15). Let v be (-2 - -1)*-2*(-5)\/q. Let g(h) = 6*h**3 + h**2 - h - 1. Let d be g(-1). Sort 0, v, d.\nAnswer: d, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11358*o + 4084*o + 8154*o - 1982064 for o.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1814128163.\nAnswer: 9059, 200257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - 53*f**3 + 28*f**3.\nAnswer: -19*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.05 - 0.45. Which is the second biggest value? (a) -2 (b) d (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73, -118, -187, -274, -373?\nAnswer: -478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 75437761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7221\/(-630) + (-145)\/174 - (-14)\/441*3.\nAnswer: -61\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) -0.1 (c) -0.08 (d) 9 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 52*n**2 - 27*n - 12. What are the prime factors of f(-9)?\nAnswer: 3, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m + k - 40 = 0, 4*m - 32 = -k + 4*k. Let r be (-19)\/4 + (-2)\/m. What is the units digit of (-3)\/r + 64\/10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.4 (b) 1\/267 (c) -4 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 - 49*o**2 + 230*o - 120. What is the tens digit of i(44)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**3 + 7*n**2 + 8. Calculate g(-7).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = 6*z - 22. Suppose 0 = -5*t - 1 + z. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**2\/((k**(-3)*k)\/k*k)*k**2\/k*k**3 assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + 21*r**2 + 27*r - 17. Does 12 divide h(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 129?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -4 - 8 - (136 + -183)\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 3*a**4 - 4*a**3 + 5*a**2 + 4*a + 2. Let q(h) = -20*h**4 + 25*h**3 - 31*h**2 - 22*h - 11. Let v(u) = -39*o(u) - 6*q(u). Determine r so that v(r) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1040847 is divided by 216.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o**2 + 4272575*o - 8545146 = 0. What is o?\nAnswer: 2, 4272573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3864 + 3886. Let x = -2 + -3. What is the second biggest value in 2, g, x?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -10*n**2 - 20*n + 1. Let a = 82 - 84. Calculate the remainder when 5 is divided by l(a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5182366 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Round -29.31 to the nearest integer.\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 14 - ((-16)\/(-9600)*46)\/((-3)\/(-312)).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4\/9, 2.3, -7, 1?\nAnswer: 2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.11 + -16.49. Let z = u + 20.6. Put -0.4, -0.9, z, 0.05 in descending order.\nAnswer: z, 0.05, -0.4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -112846478, -2\/11 in ascending order.\nAnswer: -112846478, -3, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2057) + sqrt(2057) + -6*(0 + sqrt(2057)) + ((-1 + sqrt(2057))**2 + sqrt(2057))*3 + 3.\nAnswer: -77*sqrt(17) + 6177","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -76188*g**3 + 2*g**2 - 2*g + 7. Let s be z(-6). Let q = s + -263209313\/16. Let y = q + -6119. Find the common denominator of -53\/16 and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/12*-2*(-476)\/4522?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 + 69. What are the prime factors of o?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 355 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -2*q. Let y(k) = k - 1. Let p(w) = d(w) + 3*y(w). Let j be p(8). Let t(n) = n**3 - 6*n**2 + 5*n + 3. Calculate t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -311 + 150. Let c = -341 - -629. Let a = c + z. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/((-2)\/((-4)\/(-3))). Let q(o) = -o**2 + 13*o - 23. Let t be q(11). Put -2, k, t in decreasing order.\nAnswer: k, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -271 - -383. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 h when two letters picked without replacement from hbvhlvvnnnnbnnvh.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35502693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(153)*-2 - (1 + sqrt(153))*-5)**2.\nAnswer: 270*sqrt(17) + 12418","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4267, 4302, 4337, 4372?\n\"Answer: 35*f + 4232","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 13*p - 12*p**2 - 3*p**2 + 0*p - p**3 + 20. Let y(o) = 12*o + 596. Let d be y(-51). Let i be m(d). What is the highest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0*(-1)\/2*1. Suppose -37 = -5*p + 4*s - 2*s, 0 = 2*p - 2*s - 16. What is the remainder when -1 + (v - -2) + 11 is divided by p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -2\/9, 119, -7\/6, 0.5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 77391818?\nAnswer: -3\/77391818","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the first derivative of p**6\/15 - 2*p**5\/25 - 12*p**4\/5 + 176*p**3\/15 - 112*p**2\/5 + 96*p\/5 - 5666. Factor v(w).\nAnswer: 2*(w - 2)**3*(w - 1)*(w + 6)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 + 11*k + 2. Let j be x(11). Suppose -3*r + 21 = 2*f, r + f + j*f = 14. Suppose -4 = r*o - 114. Does 13 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -103 - -518\/5. Let n = 0.7728 + -0.8728. Let b be (-1 - 32\/(-18)) + -1. What is the nearest to b in r, n, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.039*-0.07.\nAnswer: -0.00273","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 - 181779?\nAnswer: -181775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 581 or -3?\nAnswer: 581","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 787902 and 393951.\nAnswer: 787902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -59*t - 3. Let i(l) = -314*l - 16. Let n(g) = 3*i(g) - 16*p(g). Let c(x) = 9*x**2 - 5*x. What is n(c(d))?\nAnswer: 18*d**2 - 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -3, 3, -3388, -12 in ascending order.\nAnswer: -3388, -12, -3, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 - 4. Determine o(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w = -9*w - 9 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/(-8)*(-180)\/27. Let w(l) = -2*l**2 + 0*l**2 - v*l**2 + 5*l**2. Let n(j) be the third derivative of j**4\/24 + 26*j**3\/3 - 10*j**2. Determine w(n(z)).\nAnswer: -2*z**2 - 208*z - 5408","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 12\/(-90) - (-167)\/15. Solve 3*u + z - o = 4, 2*u - 10 = -z for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 7 = 1. Let d be (-46)\/6 + (-4)\/12. Is 26 a factor of t\/d - 206\/(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 - 5*g + 12. Let y be r(4). Let i(c) = -3*c - 7. Let j be i(-7). Is 830\/j - y\/(-28) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 1594.622 micrograms?\nAnswer: 0.000001594622","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**3 + i**2 - 2*i + 40. Is 8 a factor of o(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(1\/5))\/l)\/(l*l**(-1\/4))*(l**2\/l)**(-20) assuming l is positive.\nAnswer: l**(-419\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose 23 = 5*n - f, -n - o*f - 5 = -0. What is the second derivative of -2*l**n + 0*l - 2*l - 3*l**4 + 3*l**4 wrt l?\nAnswer: -24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -9 (b) 2\/7 (c) -0.152 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3387 is divided by 80.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36193 and 1071?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -472, -1905, -4294, -7639, -11940?\nAnswer: -17197","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 5*z + 0*z = 2, -3*n + 94 = -5*z. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3\/8)\/a*a)\/a**(-4)*(a\/(((a*a*(a*a*(a\/(a**3*a))\/a*a)\/a*a*a)\/a)\/a))\/(a**(4\/5)*a) assuming a is positive.\nAnswer: a**(113\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -630 = -58*h + 1139 + 261. Solve 2*n + 9 - h = -5*k, -3*k - 16*n = -60 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -107\/2464 and 43\/1441664?\nAnswer: 15858304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36.92798 + -0.87098. Let u = -0.057 + y. Which is the third smallest value? (a) 0 (b) -1 (c) 2 (d) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88702.52l to millilitres.\nAnswer: 88702520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t + 0*t)*(0*t + 5*t - 3*t)*(-4 - 3 + 3)*(3 - 4 + 0) + 3*t**2 + 5 - 5.\nAnswer: 11*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11760)\/448)\/(110\/(-88))?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159328*q - 41*q**2 + 159328*q - 45*q**3.\nAnswer: -45*q**3 - 41*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -m**2 + 9*m + 16. Let q(k) = 2*k**2. Calculate q(p(s)).\nAnswer: 8*s**2 - 72*s + 162","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 101773?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-5*(sqrt(80) + 1) + (sqrt(80) + 0 + -1 - (sqrt(80) + (sqrt(80) - sqrt(80)*1) + sqrt(80) + 0 + sqrt(80))))**2.\nAnswer: 4416*sqrt(5) + 42896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 68 + 12. Let l = h + 26. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96.16068ml to litres.\nAnswer: 0.09616068","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -412876*d**2. Let j(w) = -30*w - 6. Determine j(x(l)).\nAnswer: 12386280*l**2 - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 12*k + 6*k. Is (-6 - -5) + 666\/(k - -2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 67 - 65. Suppose -3*x = w*i + 22 - 78, -56 = -2*i - 4*x. Do i and 136\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 8*z - 3*z + 8, -4*r = 5*z - 43. Calculate the greatest common divisor of r and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -11*s + 7. Let i(r) = 11. Let v(l) = 7. Let t(a) = -5*i(a) + 8*v(a). Let h(x) = -2*o(x) - 22*t(x). List the prime factors of h(6).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6467, 27960, 63759, 113864?\nAnswer: 178275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 43*p - 32. Let x be t(10). Suppose 2*o - 2942 = -x. Let r = o + -581. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 - 7*g**2 + 4*g - 7. What is the remainder when 72 is divided by c(-8)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 174\/(-783) + (-568)\/36 + 0.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose 0*h + 3*h - 39 = 2*c, 5*c + 15 = l. Is 5 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(q - q**5 - q) + 10*q**3 - 10*q**3 - 5*q**5 - 2*q**5 - 25 + 28 - q**5.\nAnswer: -10*q**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 5\/(130\/(-74))?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -4*x, 4*a - 112*x + 227*x + 28 = 119*x for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 65 a factor of 1125899899?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 213738*-1.69\nAnswer: -361217.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157354 is divided by 423?\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z = 33*c - 58*c + 30*c + 40, -3*z = -5*c - 5*z - 19 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of 0*x + 0*x**3 + 0*x**4 + 0*x**7 - 1\/20*x**5 - 3*x**2 + 0*x**6 + 1\/168*x**8 + 0. Find the third derivative of y(a) wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/32886 and -125\/1392.\nAnswer: 263088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a hour in minutes?\nAnswer: 1280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 556 a factor of 203808472?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/5, -24, -700.6?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1\/29, -2\/17, -2\/25 in decreasing order.\nAnswer: 1\/29, -2\/25, -2\/17, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u**2 - 16*u + 8. Let i be y(-3). Let c(j) = 4*j**3 + j**2 - 4*j + 2. Let r(f) = 21*f**3 + 6*f**2 - 21*f + 11. Calculate i*c(l) - 2*r(l).\nAnswer: 2*l**3 - l**2 - 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 172656 (base 10) to base 9\nAnswer: 282750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 11117 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*m**3*z - 1193*m*z**2 - 6143*m*z - 18330354*z**2 wrt m?\nAnswer: 6*m**2*z - 1193*z**2 - 6143*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the third derivative of h**4\/4 + h**3\/6 + 7*h**2 - 2*h. Let y(f) = -f. What is l(d) - 2*y(d)?\nAnswer: 8*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let 90*p**5 - 3255*p**4 + 6775*p**3 - 4975*p**2 + 1535*p - 170 = 0. Calculate p.\nAnswer: 1\/3, 1\/2, 1, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 447468640*r**5 + 497533625*r wrt r?\nAnswer: 8949372800*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2739336843?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(343)*-6)**2.\nAnswer: 1778112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 i when four letters picked without replacement from rqqqqqqqlqilliqlrrq?\nAnswer: 15\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3178 = 1109*x + 941*x + 19372 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -233136994.2727 + 0.03?\nAnswer: -233136994.2427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12 - -6 - 2607\/30. Let o = 93 + q. What is the third biggest value in 2\/3, o, 0.3, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in twenty-eight thirds of a hour?\nAnswer: 33600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.029 from -1.0877.\nAnswer: -1.0587","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:51 PM and 6:03 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - g**2 + 570*g**4 - g**2 - 569*g**4 - 3*g**3 + g to the form j*g**4 + d + z*g + o*g**2 + x*g**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -w**3\/4 - 143327*w**2\/2 - 72761729*w\/4 - 1154836400 = 0. What is w?\nAnswer: -286400, -127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = 3*g - g + 14, 2*v - 5*g = 23. Let y = 11 - v. Suppose 29*o - 93 - 226 = 0. Calculate the remainder when o is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -30013012031133?\nAnswer: 30013012031200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5536 to the power of 1\/2, to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4120395 and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8886806.\nAnswer: 2, 4443403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000150499 rounded to four dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -381376*k**2 - 381219*k**2 + 762593*k**2.\nAnswer: -2*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2 - -2 - 2 - 30\/(-10). What is the hundreds digit of (199*p\/(-5))\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 944221\nAnswer: 2\/944221","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 6}. Give prob of picking 1 n and 2 l.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -4, -11, -1, 2\/7 in descending order.\nAnswer: 3, 2\/7, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) - (sqrt(1600) - (sqrt(1600) + sqrt(1600)*-2)))\/sqrt(5).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -507 + 492. Let m be 7 + (-132)\/20 + (-54)\/d. Solve -2*i = -5*y + 10 + 16, -m*y + 1 = 5*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4128471*f**3*s**3 + 2*f**2*s**2 + 17*f**2 - 2*f*s**2 + 28551*s**3 - s wrt f?\nAnswer: -24770826*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + q + 302 = 0, -10 = q + 4*q. Suppose -2*w - p - 7 = 26, -5*w - l = p. Which is greater: -13 or w?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n**2 + 0*n**2 + 3*n**2)*(0*n**2 - 3*n**2 + 2*n**2)*(-3 + 5 - 1).\nAnswer: -4*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 21*k**2*q - k*q**2 + 42*q**2 - 5*q with respect to k.\nAnswer: 42*k*q - q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (33\/63)\/((-264)\/(-144))*1*(-2)\/58.\nAnswer: -2\/203","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + t - 58 = 0, q = -3*q + 5*t + 223. Let i = 32 - 30. Calculate the remainder when q is divided by (i\/6)\/(19\/855).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -78*w**2 + 1. Calculate p(-1).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**2 - 6244*b - 118275. What is t(-19)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27333873*v**5 + 415613298*v**2.\nAnswer: 1640032380*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 1 - 2*t - 1)*(16 + 21 - 4) in the form j*t + d and give d.\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -853, -1680, -2471, -3220, -3921, -4568, -5155, -5676?\nAnswer: -6125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 8\/3 (b) -10 (c) -0.06 (d) -4 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104 + 111. Let a be (4\/78)\/(1\/(-3)). Put a, -3, h in decreasing order.\nAnswer: h, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -12907093\/402 + 96322\/3. What is the common denominator of 3\/(60\/(-13)) - 1 and s?\nAnswer: 4020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9541 is divided by 805.\nAnswer: 686","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6326.\nAnswer: 2, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1722947539 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 11\/2 of a second?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5590 in 1\/27, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -53, -130, -231, -368, -553, -798, -1115, -1516?\n\"Answer: -2*y**3 - 63*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 255 and 1121565?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 816*m**3 - 2238*m**2 + 5*m + 3. Let y(n) = 2*n**3 + 3*n**2 + 2*n + 1. Let s(w) = -o(w) + 3*y(w). Find the third derivative of s(b) wrt b.\nAnswer: -4860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 8, w: 3}. Give prob of picking 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14687172*t + 14687172*t + 6485*t**2.\nAnswer: 6485*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -f - 0*f, -17 = -5*q - 3*f. Let h = 6 - q. Is (-9)\/6 - (-41)\/h a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -6*b + 5*b. Let z = b + -27. Solve -z*y = -6*y + 12 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6 - 4. Let l = -137 - -957\/7. Let n(o) = o**3 + 2*o**2 - 3*o - 2. Let x be n(0). Which is the nearest to x? (a) -0.3 (b) l (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1104)\/(-4968))\/(((-6)\/(108\/6))\/78).\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = -3*a - m, 3*a - 13 - 3 = 2*m for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 157\/84 - 4783\/252. What is the second smallest value in 0, -2\/17, 5, 2\/5, b?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 728*q - 242 = 750*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -85*v**2\/2 - 16*v + 16. Differentiate p(a) wrt a.\nAnswer: -85","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.99053 + -0.02347. Let t = d + 0.014. Sort 11.8, 0.4, t in decreasing order.\nAnswer: 11.8, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4081499+14904\nAnswer: -4066595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 78941 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 6:38 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**3 - 272*z**2 + 102*z + 133. Let a be r(54). Is a < -190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 y, and 1 x when three letters picked without replacement from xfwoywlx.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 282289 and 24690.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*c - 5 = 58*c - 110*c, -10*b = 6*c - 2*c + 100 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 672323930, 672323929, 672323928, 672323927?\nAnswer: 672323926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123485 and 1408.\nAnswer: 173866880","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -387 - -390. Suppose -3*j = j. Suppose -5*m - 2*w + 378 = j, -m - 2*m = -g*w - 210. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 1013*k + 34612. Determine q(34).\nAnswer: 1326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -91*q**3 + 1963*q**2 + 58576245*q.\nAnswer: -546*q + 3926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzvv when four letters picked without replacement from vzmvzmzvzvzvvmvm?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 14794*s**2 + 312*s - 941. Is q(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 85, 174, 261, 346?\n\"Answer: -x**2 + 92*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -303 + 75. Let a be 3\/((-3)\/q*6). Let l(w) = 1676*w + 5446. Let i be l(-3). What is the highest common divisor of a and i?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25802388.\nAnswer: 2, 3, 97, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*a**5 - 170*a**4 - 85*a**3 + 170*a**2 + 40*a = 0.\nAnswer: -1, -2\/9, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l - 4*m - 8 = -31, -3*l = -3*m - 9 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1027930145 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.125 in -0.18, 8\/41, 3, 58\/9?\nAnswer: 8\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 208, -1492 in descending order.\nAnswer: 208, -4, -1492","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-11 + 17)*(0 + (-3)\/(-6)). Suppose 0 = -3*x + s*j + 180, 3*j - 226 = -3*x - x. What are the prime factors of x?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 42*g - 39*g + 7, 0 = -5*g + 3*l + 27. Suppose 2*b = b - o + 209, g*b - 627 = -2*o. Calculate the highest common divisor of 76 and b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.7357 != 262.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 92719 to the power of 1\/2, to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the third derivative of -a**8\/1680 + a**4\/24 - a**3\/2 - 2*a**2. Let b(k) be the first derivative of l(k). Differentiate b(m) wrt m.\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**2 + 16*i + 14. Let j be l(-10). Let k = j - -10. Suppose -12 = 2*w - k. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10469512, 10469515, 10469520, 10469527?\n\"Answer: d**2 + 10469511","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 93\/160 and -79\/43792?\nAnswer: 437920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2094*t**2 - 262*t**2 - 5258*t**2 + 897*t**2.\nAnswer: -6717*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 31*w - 71 - 14*w + 75 as t*w + l and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5, 13, 63, 157, 307, 525, 823?\n\"Answer: 2*x**3 + 4*x**2 - 8*x - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 + 20. Does 12 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (4 + sqrt(5))*-5.\nAnswer: -18 - 5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 43 = 10. Let d(i) = 4*i - 39. Let o be d(y). Suppose 24 = o*g - 21. What is the greatest common factor of g and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4346 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*t - 30*t + 3685 = 0. Suppose -p = -5*c + 2*p + 739, 5*c - 4*p - t = 0. Suppose -146*h = -c*h + 12. Solve 0*y - h = -y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16080*v**3 - 3050*v + 3050*v - 16072*v**3.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -168 - -380. Let l(u) = -u**2 + 79*u + 432. What is the lowest common multiple of l(84) and y?\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -29 or -22.04174?\nAnswer: -22.04174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 4*b - 23. Let z = b - 2. Suppose z*f - 6 = 9. Is f a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 168659.2021 to the nearest one thousand.\nAnswer: 169000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 21*d - 92482. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35 + 31)\/((-108)\/1161).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 132.5045 kilograms to nanograms.\nAnswer: 132504500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 0*i**2 + 4*i**2 - 6 + 6. Let l(a) be the third derivative of a**6\/120 - a**3 + 2*a**2. Let u(p) be the first derivative of l(p). Calculate u(z(o)).\nAnswer: 48*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -219\/5 - -44. Let p be 9\/6*(-12)\/9. What is the second biggest value in p, 2\/5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.21348 + 0.21348. Let b = 4 + 0. What is the third biggest value in -3, l, b, -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = l + 5*c, 5*l - 3*c + c - 78 = 0. Suppose 2 = 4*j - l. Let s(q) = -14*q - 2 + 5*q**2 + 10*q + 0*q**3 - q**3 - 1. Determine s(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -527*c**4 - 5*c**3 + 250. Let s(q) = q**4 - q**3 - 1. Let v(o) = -p(o) + 5*s(o). Find the first derivative of v(n) wrt n.\nAnswer: 2128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -5517*g + 628932. What is b(114)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z - 8 + 2. Let i = 2 - z. Suppose 0 = -f + 5*o + 2 + 52, -51 = -4*f + 5*o. Put -4, i, 5, f in increasing order.\nAnswer: -4, f, i, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2 = 3*o. Suppose 3*l - o*b = -40, 4*l + 2*b + 10 = -62. Let i be l\/(-10) + 10\/25. Put i, -4, 1 in ascending order.\nAnswer: -4, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 9875539 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1074*u**3 + 1105*u**3 - 2210*u**3.\nAnswer: -31*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 121713 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 n when four letters picked without replacement from {n: 3, q: 4}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes before 5:11 PM?\nAnswer: 7:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-20)*(l*l*l**(-12))\/l)**36 assuming l is positive.\nAnswer: l**(-1116)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 702 times 0.2\nAnswer: 140.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + -16)*(-3)\/(-2). Let a(o) = -1 - 5 - 30*o + 23*o**2 - 15 + o**3 - 5. Is a(c) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1034960 rounded to the nearest 100000?\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19 + 14. Calculate the remainder when k is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - 17. Let k = j - -24. Calculate the remainder when 23 is divided by 11 - (-4 - 2\/(k\/(-4))).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-240)\/(-3480) + (-22790)\/(-58) and 30?\nAnswer: 3930","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 3 - 1132?\nAnswer: -1124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20413976888407 - 3.\nAnswer: -20413976888410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*r - 38*r = 0. Let j = -0.1 - 0.3. What is the nearest to j in r, -5\/4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, -6\/7, 3, 0.3, 15608 in decreasing order.\nAnswer: 15608, 5, 3, 0.3, -6\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/4 + 3061*u**2\/4 - 10667*u\/2 - 33594 = 0.\nAnswer: -4, 11, 3054","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l = -v + 28, v + 5*l = -28 + 59 for v.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*h**5\/9 - 778*h**4\/3 + 6671*h**3\/9 + 430*h**2\/3 = 0. Calculate h.\nAnswer: -215, -2\/11, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 405 - 2?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -49\/9 (b) 1\/6 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 178731151*f - 308254427 wrt f?\nAnswer: 178731151","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -179, -435, -789, -1241, -1791?\nAnswer: -2439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2084, -2088, -2092, -2096?\nAnswer: -2100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 16) to base 10.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 257 (base 11) to base 5\nAnswer: 2204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8557 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1267 + -1 - (24\/4)\/(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1055 in -4, -0.5, 1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.1, -17, 2, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -1884 divided by 1884\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 + 13*z**2 - 12*z + 2. Let j be l(12). Suppose -a + 5*c - 4 = -5, -2*a = 3*c - j. Find the first derivative of 3*v + 3 - a - 3*v + 2*v**3 wrt v.\nAnswer: 6*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38750 + 38129 = 69*l for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 72*g**2 - 49*g - 1415. Let f(d) = 430*d**2 - 287*d - 8491. Let t(u) = 4*f(u) - 23*p(u). What is the first derivative of t(v) wrt v?\nAnswer: 128*v - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-36)*(-298 - -262).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**3 - 2*a**2 + a + 2. Let g(j) = -1708*j**3 + 2440*j**2 - 1220*j - 2440. Calculate g(i) + 1220*z(i).\nAnswer: -488*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1277.\nAnswer: 1277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1a13 - -3?\nAnswer: 1a16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 149 - 100. Does 11 divide 2\/7 + (-161)\/t - -63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (5 + -9 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-713)\/1240 - (2 - 19\/8). What is the closest to u in -5, 2\/5, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -11, 8286 in decreasing order.\nAnswer: 8286, 0, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -3801 + 28342?\nAnswer: 24441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 - -1. Suppose 6*p - 30 = a*p. Let g = 33 - p. Is 15 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/160 and -101\/63360?\nAnswer: 63360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(3078)*1 - 3*(1*sqrt(3078) - sqrt(3078) - sqrt(3078)))\/((sqrt(24)*1)\/sqrt(12) - -6*sqrt(98)).\nAnswer: 9*sqrt(19)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(4*(sqrt(704) - sqrt(704)*-3) + 2)**2.\nAnswer: 2048*sqrt(11) + 720912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of 4*l**2 + 14*l + 114. Let z(f) = -3*f - 5. Give -4*s(g) - 11*z(g).\nAnswer: g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*s - s + 2. Suppose -4*z + 9*z = -5*n + 95, -53 = -s*n + z. Is 14 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 21*r**2. Let n(p) be the second derivative of 77*p**4\/12 - 23*p + 8. Calculate n(j(i)).\nAnswer: 33957*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -2*g. Let d(u) = 3*u. Let p(m) = -8*b(m) - 5*d(m). Suppose 3*r = -0*r. Let o(t) = 0*t + 4*t - t + r*t. Calculate p(o(x)).\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 55. Suppose 2*t + 6 = 0, -5*t + g = -f + 18. Put -2, -5, 4, f in increasing order.\nAnswer: -5, -2, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a - 11. Let s be f(-11). Let n(o) = o - s + 11. Let g(q) = -10*q + 2*q - 41*q - 11*q. What is n(g(x))?\nAnswer: -60*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-18 - -27 - 11) + (9 - 1) - 14?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 438 = -480652*z + 480608*z + p, 2*z + 12 = 4*p for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**3 - 29*v**2 - 10*v + 61. Let m be b(-14). Determine l, given that -4\/5*l**3 + 0 + 2\/5*l + 2\/5*l**m + 0*l**2 + 0*l**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8227231 divided by -3.\nAnswer: -8227231\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 4*h**2 + 79*h + 52. Let i be l(-19). Let q = -1.56 - -0.16. Which is the nearest to 0? (a) 3\/5 (b) q (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**2 - 12*z + 16. Let s = -1 - 0. Let x(j) = 115 - j - j**2 - 59 - 55. Let q(a) = s*y(a) + 12*x(a). Differentiate q(o) with respect to o.\nAnswer: 12*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = 2*j - 4, 2*j - t - 32 = 2*t. Calculate the remainder when j is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 4 = 5*k, 3*k + 2*i + 4 = 4*i for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/4*4\/30.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 7 = 5*u - 4, 0 = -u + 1. Calculate the least common multiple of -1 - ((9 - b)*-1 + 3) and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*t + 62 = 5*s, -5*s + 4*t = -89. Suppose a - 2*v - 59 = -6, 0 = -6*a - 4*v + 318. What is the remainder when a is divided by s?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7332 divided by 3666\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -3*j + 1. Let i(b) = -17*b + 4. Let x(o) = 3*h(o) - i(o). Let l(s) = -2. Let r(w) = -w - 3. Let g(c) = 3*l(c) - 2*r(c). Determine x(g(y)).\nAnswer: 16*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 308 + -146. Let x be 0 + 0 + (n - -3). What are the prime factors of ((-16)\/20)\/((-6)\/x)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q - 1284. Let j(y) = -19. Give -f(v) + 7*j(v).\nAnswer: -v + 1151","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {e: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 108\/(3 - 7)*-1. Calculate the greatest common factor of c and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/3))**(-40) assuming j is positive.\nAnswer: j**(80\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1069, -2466, -3835, -5164, -6441?\nAnswer: -7654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 + 10. Let r(p) = p**3 + 3*p**2 + p. Is r(f) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uz when two letters picked without replacement from uzvuvxqvv.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:25 AM and 2:11 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 3 = 0, -2*r + 3*r = z + 98. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c - 2 - 5 + 1. Suppose 5*v = -u - 10, 3*u = 4*v - 1 + 47. Let d be l(u). Let z(s) = 5*s - 6. Let f(g) = 6*g - 7. Give d*z(h) - 3*f(h).\nAnswer: 2*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24 + -13. Let o = 18 - r. What is the lowest common multiple of 2 and o?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 16829584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 + m + 1. Let g(q) = 3*q**3 + 2*q**2 - 13*q - 4. Let h(j) = 3*j - 2. Let c be h(2). Let o(b) = c*r(b) + g(b). Suppose o(z) = 0. Calculate z.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -22*r**2 + 21*r**2 + 2*r**3 + 15 - 10 + r in the form x*r + o + q*r**2 + p*r**3 and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00009550838 rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1448157761?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 562539714.\nAnswer: 2, 3, 11, 8523329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1827\/42 + (-72)\/48.\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/1)\/((-1)\/2). Let l = 15 - 11. Is l smaller than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**3)\/(z\/(z**(2\/7)*z)))**(12\/7)\/(z\/z**(1\/7)*z*z**(-4\/9)\/z*z**(-1\/2)*z*z*z**(-6)) assuming z is positive.\nAnswer: z**(10085\/882)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 - -9. Suppose 0 = 9*t - g - 15. Suppose 2*q = t*q - 210. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15.22 - 15.2199999992. Round b to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**2 - 3. Suppose 5*q = 5, 2*q + 1 = -3*s + 6. Let h(v) = 1. Determine s*o(p) + 3*h(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -41.1 + 41. Sort g, 0, -0.08 in decreasing order.\nAnswer: 0, -0.08, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1584.276 from 0.04012727.\nAnswer: -1584.23587273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 27*a**2 + 16*a - 25. Let q(u) = -5*u**2 - 3*u + 5. Let g(c) = 11*q(c) + 2*z(c). What is g(5)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(288) - 4*sqrt(288)*2)*-1 + (-4 + sqrt(288)*1 - (sqrt(288)*-2 + 0)))**2.\nAnswer: -960*sqrt(2) + 28816","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/7, -34, -4, 59.6, 0.09?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-4*((sqrt(102) - (sqrt(102) - (sqrt(102) + -2*sqrt(102)))) + sqrt(102)))\/(sqrt(42)\/(-3*sqrt(7)*2 - sqrt(7))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(208) - (2 + (sqrt(208) - -1*sqrt(208)) + sqrt(208) + sqrt(208)))*-2*-5)**2.\nAnswer: 4800*sqrt(13) + 187600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - 3*p - 133. Let h be t(9). What is the nearest to 1491 in 1, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yvq when three letters picked without replacement from vxqymvi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -7*z - 3. Let v(t) = -t - 1. Let r(n) = q(n) - 6*v(n). Let j be r(3). Solve j = -5*c + 3*c + 4 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (5*(1 + sqrt(7)) - (sqrt(14)*-1)\/sqrt(2)))**2.\nAnswer: 120*sqrt(7) + 352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -12399 and 14163.5192.\nAnswer: 1764.5192","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m**2 + 1234130*m + 112264425 = 0.\nAnswer: -246735, -91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 13087 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 24460368 to the power of 1\/8, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000040694 to seven decimal places.\nAnswer: -0.0000041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 265, 468, 671, 874?\n\"Answer: 203*a + 62","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 613946846.\nAnswer: 2, 37, 8296579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = z**3 - 12*z**2 - 12*z - 8. Let h be c(13). Suppose h*i - 40 - 35 = 0. Suppose 0 = -2*k + 3*k - 28. What is the remainder when k is divided by i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5\/7 (b) 2 (c) -0.2 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.074 - -0.026. Which is the closest to o? (a) -1\/5 (b) 3\/8 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10100110010 (base 2) to base 5\nAnswer: 20310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2\/13 - 40*h\/13 + 168\/13 = 0. Calculate h.\nAnswer: 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ntnt when four letters picked without replacement from mmntnttvmnm?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/5 - 2\/5. Suppose 0 = -5*y - 0*y + 20. What is the second derivative of 2*a**s - a + 4 - y wrt a?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 7957754, 7957767, 7957786, 7957811, 7957842, 7957879, 7957922?\n\"Answer: 3*g**2 + 4*g + 7957747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + (-14)\/(-1 + 3). Let k(c) = c**3 + 4*c**2 - 5*c + 5. Let v be k(n). Let o = 3 - -6. Solve -v*b - o = -24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 26367\nAnswer: 5273.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (24 - 156) + 63 - -2?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41363?\nAnswer: 7, 19, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.931 plus 1?\nAnswer: -21.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 34 = 4*m - 228, 2*m - 2*n = 126. Calculate the remainder when m is divided by 59.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of a**4\/12 + 4*a**3\/3 + 3*a**2\/2 + a. What is the remainder when 45 is divided by y(-9)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 15*r = 14*r - 286, -109 = -2*y - 5*r. Calculate the remainder when 96 is divided by y.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 349*b**6 + 26*b + 3*b**2 + b**2 - 9*b + 7*b**2 - 14*b**2 wrt b?\nAnswer: 41880*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 - 4*x + 6. Suppose -3*n + 11 = u, 5*n = 4*u - u + 37. Give s(n).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55 + -59. Let j(p) = 16*p**3 + 6*p**2 - 4. Let l(o) = 16*o**3 + 7*o**2 - 3. Let t(g) = s*l(g) + 3*j(g). What is the third derivative of t(y) wrt y?\nAnswer: -96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-4\/9)\/q**10)\/(q**4*q**(-8)) assuming q is positive.\nAnswer: q**(-58\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27.7 + 28. What is m rounded to 0 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -619134 by 16.\nAnswer: -309567\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 2\/3 (c) 3009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c = 16*c + 2*t - 19, 1 = 2*c + 3*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1159 times -0.055?\nAnswer: -63.745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 238 divide 1131120419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 1635871650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(2\/5)\/p*p*p*p)**(3\/37)*p\/p**(1\/3)*p\/(p\/p**3)*p*p assuming p is positive.\nAnswer: p**(3298\/555)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 5 - 1. Suppose -5*n - 73 = 5*i - 13, 5*i - n = -42. Let q be -21*2\/(i + v). Calculate the highest common divisor of q and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**2 + 3*t**2 - 11*t**2 + 7*t**2.\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(2\/11)*x**(-3\/4)*x\/(x**(-1)*x)*x\/(x**(5\/2)*x)*x assuming x is positive.\nAnswer: x**(-47\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.51 + -190.49. Let i = -196 - k. What is the biggest value in -13, i, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 3*b**2 - b - 1. Let v be u(-2). Suppose 5 = 2*o + v*n, 2*o - n - 2 + 3 = 0. Let -4\/5*k**2 + 2\/5*k**3 + 2\/5*k + o = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12843 divided by -280.\nAnswer: 12843\/280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12 - -16 - (0 + 0)) + 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Is -4 not equal to -34\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, 0.141, -2, 9, -3?\nAnswer: 0.141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/h**(-4\/7))\/h**3*(h\/h**(-1\/4))**23 assuming h is positive.\nAnswer: h**(765\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(3\/5)*d)**(3\/13)*(d\/(d**4*d))\/d*(d\/(d\/(d*d**14\/d)))\/d assuming d is positive.\nAnswer: d**(544\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -373 - -84582.\nAnswer: 84209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4825316 or -4825313?\nAnswer: -4825316","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/52 and -0.2 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-24)\/(-10))\/((-3)\/(-30)). Let t(d) = 2*d + 24. Let a be t(-11). Suppose -4*q = a*q - 72. Calculate the greatest common divisor of w and q.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(55)*2*-1)\/(sqrt(539)*2).\nAnswer: -sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is d in d**2 + 29363*d - 1028930 = 0?\nAnswer: -29398, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((0 - -10) + -2)\/(4 - 2). Suppose 3 - 12 = -3*c, -u*l + 5*c = -2237. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2088, -17293, -58554, -138897, -271348, -468933, -744678?\nAnswer: -1111609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 185 - 135. What is the remainder when 449 is divided by o?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, 12\/589, -449.5?\nAnswer: 12\/589","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 371 minutes before 10:31 PM?\nAnswer: 4:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -101 + 70. Let p = v - -33. Sort p, 6, -1\/5 in descending order.\nAnswer: 6, p, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 24*z - 25. Calculate x(15).\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7)\/2*344984\/(-10409)?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2500\/104 - 48\/1248. Solve -z + s = 3*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 380679709 is divided by 183?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 4*g - 12, 3*g + 22 = 2*y - 4. Solve -y*m + 9 - 69 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(72)*-3 - (-4 + -3*sqrt(72)) - (-4 + sqrt(10)\/(sqrt(5) + (sqrt(120)\/sqrt(2))\/sqrt(12)) + -1))**2.\nAnswer: -11*sqrt(2) + 243\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*p - 16 = 4*p. Let v(u) be the first derivative of -1 - 1\/4*u**p + 0*u**3 + 0*u**2 - u. Differentiate v(o) wrt o.\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -29, -46, -41, -2, 83, 226, 439, 734?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19739256?\nAnswer: 2, 3, 29, 79, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -121 <= -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/8)\/(2\/30*3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.9 and 18.6?\nAnswer: -35.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 5770.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -i**3 + 33*i - 10*i**2 + 108*i - 144*i + 64 as n*i**2 + h*i**3 + s*i + f and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -111110111101000110000 (base 2) in base 13?\nAnswer: -572c64","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*h*i**2*r**2 + 3*h*i**2*r - 7*i**2*r**2 + 23*i**2*r + 17*r**2 - 1 wrt r.\nAnswer: 4*h*i**2 - 14*i**2 + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: ((-27)\/(-180))\/((-4)\/32) + 1\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + b - 31 = -5*g, 0 = 4*b - 2*g - 2. Suppose -b*n + 6 = -6. Is 4 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = p - 12, -2 = 3*p + 5*z - 14. List the prime factors of 19416\/60 - (p\/(-15))\/(-1).\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -z - r + 5, -80 = -5*z + 4*r. Let x = z + 36. Does 13 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21*(-182)\/28665*-1*(-6)\/(-38)\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h**2 + 3*h - 39. Let j(k) = k**2 + k - 9. Let w(u) = -9*j(u) + 2*q(u). Suppose 4*o - 10 = -22. Let d(i) = -i + 1. What is o*d(t) + w(t)?\nAnswer: -5*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*o**2\/3 + 240438*o + 288524\/3.\nAnswer: 2*(o + 72131)*(5*o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) - (-5 + sqrt(147) + -1)) + (sqrt(147) - (-2 + 0 + sqrt(147)))**2 + -1.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -31, -289, -535, -763, -967, -1141?\nAnswer: -1279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1139.628 - -1143. Let q = y - 3.6. Round q to two decimal places.\nAnswer: -0.23","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v + 6. Let k be i(-6). Let x(p) = 2*p + 17. Let g be x(-9). Sort g, -5, k in ascending order.\nAnswer: -5, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -3*k - 13. Let t(f) = 1. Let v(n) = -r(n) + 4*t(n). Let m be v(5). Suppose g - m = -23. What is the least common multiple of 33 and g?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 2, -541 in descending order.\nAnswer: 2, -2, -541","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (11\/22)\/((-9)\/6)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-27)*(25 + (-246)\/10 + 393\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - (-3 + -4 + 5 - -6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*l**4\/9 + 92*l**3\/3 + 616*l**2\/3 - 784*l\/9.\nAnswer: 2*l*(l + 14)**2*(5*l - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 140 = -580. Is t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.9+-1952315.7\nAnswer: -1952318.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3323.62 + 3318. What is the third biggest value in m, -2\/3, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -78361\/12 - -6538. What is the common denominator of p and -109\/30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5783*a**2 - 140*a - 5786*a**2 + 140*a.\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70 = -3*s - 11*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/25 of a litre?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of 1\/20*b**5 + 115*b**2 + 2*b + 0*b**4 - 1\/6*b**3 + 0. Calculate q(-3).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 9116.69\nAnswer: -27350.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 12 = -16*f. Suppose 0 = 2*b - 4*r - 4, -f*b = -b - 3*r - 9. Suppose b*z = -3*g + g + 16, 0 = 3*g + 6. List the prime factors of z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**27*x)**9)**(-45))**(-45) assuming x is positive.\nAnswer: x**510300","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 22 and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3567 = -4*y + k + 969, y - 3*k = 1123. Is y a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 90031 - 53740. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 374*i = 379*i - 35 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a + 4 - 6 - 4. Suppose 4*f - f - 42 = 3*i, 2*f - 32 = 4*i. Suppose f*b + 20 = 17*b. Determine s(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 + -48. Suppose 7*w = g*w - 21. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-343)\/42 - -8 - 29\/6. Which is the second biggest value? (a) w (b) 43 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -19*t**2 - 3188*t - 2537. What is y(-167)?\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 - 2 + 3*x**2 + 0*x**2 + (1 + 1 + 0)*(72*x**2 + 60*x**2 - 44*x**2) + 5*x - 5*x - 44*x**2 to the form t*x**2 + g*x + p and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3393021s in minutes?\nAnswer: 0.005655035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0\/((-1)\/(3 + -2)). Let r = 7 + -1. Let y = r - f. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5 + (-188)\/(-8) + 1\/(-2). Let m = f - 12. Suppose -6*y + 80 = -4*y. Calculate the greatest common factor of m and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 + 12. Let s(p) = -5*p**3 - 2*p**2 + p + 1. Let i be s(-4). Let u = -3137\/11 + i. Which is the smallest value? (a) 0.5 (b) v (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 178 = 5*l, -1504*l = -1499*l - 2*t - 142. Solve -l*g - 10*g + 252 = 0 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22488 is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.2692 + -0.1308. What is the third smallest value in w, 2\/9, -2.9, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2676 to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000418518867 to seven dps.\nAnswer: -0.0000419","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -8*q**2 - 10 + 27 + 7*q**2 + 87*q - 77*q - 13. Give k(7).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582417201 a multiple of 253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1021*q - 4059*q + 1011*q + 32 + 1017*q + 1009*q.\nAnswer: -q + 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/18*9\/(-2)*-18*1\/(-270)\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1, 1446, 6131, 15676, 31701, 55826, 89671?\nAnswer: 134856","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*y - 87*y = 160 for y.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -40 (base 14) in base 7?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l\/(l*l*l**(1\/16)*l*l))\/l)\/l**(-3)*(l*l**(7\/4)*l)\/l**(-11))**(18\/11) assuming l is positive.\nAnswer: l**(1971\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*h + 59*h = 195 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/5 of a minute?\nAnswer: 12000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3 = -5*o - 92, -5*l + 248 = -2*o. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the second derivative of 0*g**4 - 17\/6*g**3 + 0 + 19\/20*g**5 - 15*g + 0*g**2. What is the second derivative of k(w) wrt w?\nAnswer: 114*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102220 less than 102222?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 5*q - 56 = 0. Let g be 12\/21*2\/((-32)\/q). Solve -x = o - g + 3, 3*o + 5*x = -3 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12 + -7. Let w = 3.0489 - 0.0489. Sort m, w, 2.\nAnswer: 2, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.03 and -19420.77.\nAnswer: -19420.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 19*a**2 - 21*a**2 + 0 to r*a**2 + c + x*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7684 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 518\/8029 - (-161)\/(-93).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2211\/185 + -50\/37. Calculate the common denominator of v and 9 + ((-24)\/(-40) - 440\/45).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13 or 5?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2 (b) 0.1 (c) -2.29 (d) -6 (e) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (7 - 11)) + 0.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 896 or 898?\nAnswer: 896","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 6*x - 56*x + 24 = -46*x, -2*b - 4*x = -14 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 - -6. Let a = g + 7. What is the common denominator of a + (34\/(-28) - 3) and -15\/14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/19875971 or 1?\nAnswer: -10\/19875971","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*b - 4*b - 23*b + 220 = 0 for b.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/3))**(1\/71)\/(f*f**(1\/8))**(1\/48) assuming f is positive.\nAnswer: f**(-383\/27264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*t = 4*m - 27, 3*m - 12 = -t. Find the first derivative of 6 + 0 - 3 - 3*y**t + 13*y**3 wrt y.\nAnswer: 30*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -x**2 - 72*x - 335 = 0?\nAnswer: -67, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -56*(9\/6)\/(-3). Let o be (-1)\/((-15)\/10) + (-176)\/120. Sort -2\/9, o, 1\/3, c in increasing order.\nAnswer: o, -2\/9, 1\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13.5 + 4.7. Let j = -9 - b. Sort 0, 5, j in ascending order.\nAnswer: j, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**4\/5 - 9612*p**3\/5 + 212162*p**2\/5 - 1303092*p\/5 + 2259504\/5 = 0.\nAnswer: -4828, 3, 6, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1660 + 2821. Is v a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -142*x**3\/7 - 372*x**2\/7 - 318*x\/7 - 88\/7 = 0. Calculate x.\nAnswer: -1, -44\/71","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 - v**2 - 3*v**2 - v**3)*(-68 + 42 - 447).\nAnswer: 473*v**3 + 946*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f + 25. Calculate c(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/107 and 37\/749.\nAnswer: 749","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/30 and 87\/430?\nAnswer: 1290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 6*t = -2. Suppose -4*o + o - 640 = 2*m, -t*o = 2*m + 426. Is 6 + -4 - (o - -1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26b84 (base 12) in base 8?\nAnswer: -150424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396 - 10*c - 2*c - 21*c - 397 + 788.\nAnswer: -33*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((468\/143)\/6*2\/(-4))\/1.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-10))\/(127\/3810).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 - -1. Suppose -g + 2 = -k. Sort -4, -3, k in descending order.\nAnswer: k, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4 + 11. Let c(y) = y**3 - 6*y**2 - 5*y - 7. Let s be c(b). Suppose -3*r = -m - 11, -6*m = -m - 3*r + s. Which is smaller: m or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 101221 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y + 7. Let d be b(5). Let k(o) be the first derivative of o**2\/2 + 31. What is k(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**2 + 4. Let z(u) = 2*u**2 - u - 5. Let v(b) = -3*q(b) - 2*z(b). Let o be v(0). Which is bigger: -16\/7 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let x = -71 - -69. Let f(u) = -10*u**3 - 2*u**2 + 2*u + 6. Is f(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 540.94 + -541. Let y = -12 + 7. Let m = -3.3 + 2.3. What is the closest to m in 5, y, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one eighths of a day in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -395.744 - 8\nAnswer: -403.744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + 30 = -5*y. What is the third derivative of -20*l**4 + 2*l**4 + 10*l**4 + y*l**2 wrt l?\nAnswer: -192*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3920249.\nAnswer: 29, 135181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/(-1)*66\/(-4). Let f = 56 + a. What is the remainder when 65 is divided by f?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Suppose 0 = x*d + 3*d - 455000. Round d to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1803143483 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24) + sqrt(24) + (sqrt(72) + sqrt(72)*2)\/sqrt(3))\/(sqrt(12) - (-2*sqrt(300) + sqrt(300))).\nAnswer: 5*sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 102 and 2410566.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -1. Let d be -6*(1\/o - -2). Let k = 14 + d. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59616919 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 130920713?\nAnswer: 7, 11, 1700269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*4*((sqrt(112) - (sqrt(112) + (sqrt(112)*-2 - sqrt(112))**2)) + sqrt(7) + sqrt(28)\/sqrt(4) + -3).\nAnswer: -4044 + 8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-162)\/243 + 19\/6. Sort h, -1, 0.02, -1\/4 in increasing order.\nAnswer: -1, -1\/4, 0.02, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1555 and -3?\nAnswer: 1558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1034 (base 5) to base 6\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f**2 - 17*f + 477. Is 12 a factor of m(0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -7*s**5 - 2 + 2 + (-2*s**2 + 5*s**2 - s**2)*(0*s**3 - s**3 - s**3) + (-354*s**3 + 37*s**3 - 133*s**3)*(-2*s**2 - 3*s**2 + 3*s**2).\nAnswer: 889*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xa when two letters picked without replacement from {a: 1, u: 4, p: 6, x: 3}.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 44312?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -483, -1816, -4027, -7110, -11059, -15868, -21531, -28042?\nAnswer: -35395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20371 is divided by 37?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -262*i**2 - i. Let r(f) = 2*f**2. Determine d(r(k)).\nAnswer: -1048*k**4 - 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g + 4*g = -6. Suppose -4*t = -2 - g, 2*l - 25 = -t. Calculate the least common multiple of 20 and l.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 3)*(2*b - 2*b - b**5 + (-2 + 0 + 1)*(0*b**2 + 0*b**2 - b**5) - b**5 + 0*b**5 + 3*b**5).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the third derivative of n**6\/60 + n**5\/30 - n**4\/12 - n**3\/3 + 45*n**2. Solve v(q) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1173*u - 266*u - 927*u.\nAnswer: -2366*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 183.022 * 6\nAnswer: 1098.132","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -14*d - 11. Let k(n) = -n. Let g(q) = -4*k(q) - z(q). Is g(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010111101222 (base 3) in base 16?\nAnswer: 928c7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292231 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -153 = -3*p + 3*m + 108, -4*p - 2*m = -348. Suppose 5*t = 2*g - 189, g - p = -0*g - 5*t. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*k - 2009 = 5*k. Suppose 0 = 5*l - 5*g - 192 - 103, k = 5*l - 3*g. What are the prime factors of l?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 512993, 1026020, 1539085, 2052188?\nAnswer: 2565329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times 940.3?\nAnswer: 470.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 23 + 83)*(-5*o**5 + 3*o**5 + 5*o**5 + (-5 + 2 + 1)*(-o + o - 2*o**5) + o**5 + 3*o**5 - 5*o**5).\nAnswer: 540*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66013.86 nanograms to grams.\nAnswer: 0.00006601386","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**4 + 221*q**3 - 3818*q**2 - 4040*q.\nAnswer: -q*(q - 202)*(q - 20)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -20 - -13. Let a(i) = i**2 + 9*i + 16. Let s be a(t). Let 27\/7*c**s + 15\/7*c**4 + 3\/7*c - 39\/7*c**3 - 6\/7 = 0. What is c?\nAnswer: -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 4*s + p + 51, 4*s = -p + 61. Let t(o) = 5*o - 1. Let g(b) = -26*b + 6. Let a be 2 + 7 - (-1 + 2). Let x = a - 5. Calculate s*t(y) + x*g(y).\nAnswer: 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -750907, 3, -2.\nAnswer: -750907, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.1 (b) 22 (c) 210\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (1 + -8) - (-45977 + 45865)?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5751013 + 111?\nAnswer: -5750802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - -1) + (1 - (0 - -3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.014046168232 to five decimal places.\nAnswer: -0.01405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4731037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 732 + -632. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000078024 rounded to 6 decimal places?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4379 or 4233?\nAnswer: 4379","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (535\/(-428))\/(3\/84)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -11*o + 4. What is the tens digit of v(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02432117 rounded to 4 dps?\nAnswer: -0.0243","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 99\/(-21) + 12\/(-42). Let v be 1\/1 - (-50)\/(-80). Put m, 0.1, v in decreasing order.\nAnswer: v, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 6*s - 2*i + 14, -5*i - 31 = -4*s. Let q = -651 + 646. Sort -6\/7, s, q.\nAnswer: q, -6\/7, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**3 - 18*x**2 + 23*x - 25. Give w(-19).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -aa230a (base 11) to base 6\nAnswer: -101415535","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 2*h - 9. Solve 4*a - 3*a = h for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 34*l - 34*l - 6*l**3 - l**3 + l - l + (-2 + 5 - 4)*(l**3 + 2*l**3 - l**3) + 4*l**3 - 3*l**3 - 3*l**3 + 0*l**3 + 5*l - 4*l - l**3.\nAnswer: -12*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:26 PM and 2:48 AM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 8628 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -792*(3\/(-2)*-2 - 4). What is the highest common divisor of 33 and x?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 835?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 20 = 0. Let z be (-513)\/(-7) + 2\/(-7). Suppose 13 - z = -f*u. Is u a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 39 = -3*l, 184067 - 184049 = -t - 6*l for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 12*v - 14. Determine f(5).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -129567.9832 + 114394?\nAnswer: -15173.9832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/8*((-385)\/(-33) + -5). Calculate the greatest common divisor of d and 335.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -12, 4, -3.7, 2\/7, -2\/9 in descending order.\nAnswer: 4, 2\/7, -2\/9, -3\/5, -3.7, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g - 12 = 3*j, 4*j + 3*g + 8 = -8 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 19*b - 6704 = 0. Is b a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of -c**5\/10 - 3*c**4\/2 - 10*c**3\/3 - 5*c**2 - 21*c + 4. What is the tens digit of z(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31532 to the nearest integer?\nAnswer: 178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3 + 24*l.\nAnswer: 24*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -46 (b) 0.4 (c) 25\/12 (d) -72\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -14*g + 134. Let p be o(9). Let w(h) = -h**3 + 7*h**2 + 12*h - 30. Let c be w(p). Solve 0 = 4*z - 5*y - 0 + 7, -3*z - c*y = -12 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(3 + sqrt(272))**2 + -4*sqrt(272) + 4 + 0.\nAnswer: 32*sqrt(17) + 566","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11146 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 642, 645, 648?\n\"Answer: 3*j + 639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -188283 (base 16) in base 12?\nAnswer: -655683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 312 and 259416?\nAnswer: 3372408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/9 + (17122 - 4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-399)\/(-28) + -14 - 198\/(-8). What is the greatest common divisor of s and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/(q*q*q*q\/(((q*q**(-2\/21))\/q*q)\/q*q)))\/q)\/q**5 assuming q is positive.\nAnswer: q**(-170\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/4 of a minute?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -39, -113, -237, -411, -635?\n\"Answer: -25*l**2 + l - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -123*q. Let c(z) be the first derivative of 3*z**3 - 930. Calculate c(j(d)).\nAnswer: 136161*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -68, -222, -462, -788, -1200, -1698?\nAnswer: -2282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1227301, 2454600, 3681897, 4909192, 6136485, 7363776?\n\"Answer: -f**2 + 1227302*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (85 - 85) + (-10 - 1) - -14\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 129\/31970 and -103\/131100.\nAnswer: 18222900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + 3*g + 9. Let p(v) = -v**2 - 9*v - 14. Let b be p(-8). Calculate the remainder when h(b) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 30 and 2390?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1 - 0.5. What is the third smallest value in 2\/13, -1\/6, j?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*n - 1140 = 12188. Let p = -383 - n. Put 2\/17, -12, p in ascending order.\nAnswer: -12, 2\/17, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 23 = -d + 2*d, 4*f = -2*d - 56. Let l(n) = -2*n**2 - 3*n. Let i be l(3). Let j = d - i. Calculate the smallest common multiple of j and 8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3024)*2*-6)\/(sqrt(7) + 1*(sqrt(7) + sqrt(28)\/sqrt(4)) + sqrt(7) + sqrt(7) - sqrt(35)\/(sqrt(20)\/sqrt(4))).\nAnswer: -36*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide ((-15)\/2 - 2)\/(1\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*(-2 + sqrt(1100)))**2 + 5).\nAnswer: -9941 + 360*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fqf when three letters picked without replacement from {f: 2, q: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-5)\/l*l)*l**2*l**(-2\/11)*l**2)**(-45))**5 assuming l is positive.\nAnswer: l**(-24300\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 123 (base 10) to base 13.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the first derivative of l**2\/2 - 11. Let o(d) = -16*d. Calculate q(o(c)).\nAnswer: -16*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -5*t, 5*u = t - 2*t + 8772. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1287)\/(-36) - (-1)\/4. Suppose t = -3*t + a. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 217210143 and 0.2.\nAnswer: 217210143.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 10. Let x = -39 + 31.5. Let u = x - v. Which is the second biggest value? (a) 3 (b) u (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2. Let b(x) = 78*x + 18. Let j(k) = 22*k + 5. Let m(f) = 5*b(f) - 18*j(f). Give t(m(z)).\nAnswer: 180*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, 1, -1\/11, -0.5, 0.5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 102 and 204?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 37\/(-45) + (-93)\/(-155). Let x be (2 + 1)\/(-3)*5. Sort x, 15, n in increasing order.\nAnswer: x, n, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -624*p**2 + 6*p. Let g(d) = -624*d**2 + 7*d. Calculate -5*g(r) + 6*l(r).\nAnswer: -624*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1772)\/6*(-1 - -23410). Let o = -2313458 - x. Round o to the nearest one million.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64861 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -3 + (-3 - 0) - (-102)\/24?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -36344000 by -154.\nAnswer: 236000","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 3*k + 2. Let j = 9 - 5. Suppose -4*r - j*f = -4, 6*r - 4*r = 4*f + 14. Calculate i(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**3 + 164*q**2 - 1385*q - 1550.\nAnswer: -(q - 155)*(q - 10)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zlzx when four letters picked without replacement from {x: 4, z: 11, l: 3}?\nAnswer: 11\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 4*d**2 - 9*d - 10. Let h be k(-5). Let i be 18\/45*h\/(-18). Let a be 0 + -2 - 60\/(-18). What is the nearest to -0.1 in i, a, 0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*d - 12. What is the first derivative of 6 - 4 + 0*c**4 + c**d - 5 wrt c?\nAnswer: 4*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*p + 69 + 16*p - 216 + 147.\nAnswer: 21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 227578 - 12480203\nAnswer: -12252625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 26870491 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00108279 to four decimal places.\nAnswer: 0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 2*w - 73 = -3*w, w = 4*h - 102. Let c be 3 - -2 - (-25 + 25). Suppose 6*l + 3165 = c*s + 3*l, 5*l = h. What is s rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = 55*h + 1656. What is a(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away 0.3788514?\nAnswer: -0.2788514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 0.1 (b) -36 (c) -5 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 2 = 3*r + 5, z + 23 = -5*r. Suppose -81*i + 92*i = 0. Suppose -5*q - 720 = -o - 4*o, i = z*o - q - 285. What are the prime factors of o?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283869450 less than 283869451?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14780 - -5.8032.\nAnswer: -14774.1968","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8115665*k + 8115665*k + 181*k**3 - 180*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 10aa6c23 - 1?\nAnswer: 10aa6c22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the first derivative of 4*c**2 - 84 - 27 + 52. Let z(m) = -11*m. Let g(y) = 7*y. Let o(q) = -8*g(q) - 5*z(q). Determine o(d(b)).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 472, -714, -790 in descending order.\nAnswer: 472, -714, -790","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (4 - (8 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6218?\nAnswer: 2, 3109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 3, -1\/3, -2\/5, 5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6103 and 70723?\nAnswer: 1202291","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 - 30. Let p(z) = -180346*z**2. What is s(p(g))?\nAnswer: -65049359432*g**4 - 30","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**3 + g**2 - g + 49. List the prime factors of k(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15590?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0) + 3 + 1. Let d(x) = 5*x**2 - 6. Let l(k) = k**2 - 1. Calculate g*l(f) - d(f).\nAnswer: -f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.72 - 0.08. Let n = -1.2 + j. Let k = -4\/11 - -9\/55. Put k, 2\/9, n in descending order.\nAnswer: 2\/9, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**4*l**3*r + 439*a**4*r + 21*a**2*l**2*r + a**2*l**2 - 4*a*l**3*r - a*l**2*r wrt a.\nAnswer: -24*a*l**3*r + 10536*a*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -493878022 - 352.\nAnswer: -493878374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 381*k**3*x**4 - 2029*k**3*x**2 + 12457300*k**3 wrt x.\nAnswer: 1524*k**3*x**3 - 4058*k**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -19.89 (b) 0.013 (c) -3\/4 (d) 0 (e) -0.1 (f) -8\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/10)\/(2\/5). Solve -3 = -3*g + d for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 2*m - 12158, 3*j = 14*m - 13*m + 7294. What is the highest common divisor of j and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1182600 and 1626440?\nAnswer: 2920","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.03 (b) -36680 (c) 3\/5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) 4 (b) 2\/11 (c) 0.12 (d) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*k**2 + 119*k**3 + 103*k**2 - 80*k**2.\nAnswer: 119*k**3 - k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes after 4:08 AM?\nAnswer: 1:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 + 163876908*h**2 - 327753804*h + 163876900.\nAnswer: -4*(h - 40969225)*(h - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - 1021111012?\nAnswer: -1021111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1002 = 133*o - 86*o - 297 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -63700 to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.1 - 1.4. Put 1, x, -1, 5 in descending order.\nAnswer: 5, 1, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (l**4 - l**4 - l**4)*(-2*l + 5*l - 2*l) + l**5 - l**5 - 2*l**5 - 3*l**2 + 3*l**2 + 2*l**5 + 4*l**5 + 6*l**5 - 15*l**5.\nAnswer: -6*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 204*o - 2275 = 3437. Solve 20*a + 16 = o*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqh when three letters picked without replacement from hqqhq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14999 - -14998. Which is the second biggest value? (a) d (b) -16452 (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -2. List the prime factors of o - 6*3\/(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1033457 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115 = -42*s - 11 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3515 + -1356?\nAnswer: 2148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3070 is divided by 41.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u\/(u**(-2\/5)\/u)*u)**(-2\/9))**(-31))**(-2\/21))**(-2\/53) assuming u is positive.\nAnswer: u**(4216\/50085)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xzzyxsxzeyzxxzez. Give prob of sequence yxxy.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1438, 3.\nAnswer: -1438, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1 and 2545?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 257 - 266. Let m be (u*(-5)\/(-50))\/(12\/(-128)). Is m < 10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -308, -882, -1998, -3836, -6576, -10398, -15482?\n\"Answer: -30*x**3 - x**2 + x - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 427 is divided by 86?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -29. Let r be (-3)\/j*24\/(-105). Which is bigger: -1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -k**2 - 5*k - 3. Let t be p(-4). Suppose 2*h = -h + 3. Let i be (-2 - t\/h) + 3. Which is the nearest to i? (a) -3 (b) -0.2 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -11033?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of -19*q**6\/30 - 25*q**5\/12 - 101*q**2. Find the third derivative of r(u) wrt u.\nAnswer: -456","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145023 (base 7) in base 2?\nAnswer: 110110111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 180571001 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33 and 168.\nAnswer: 1848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p**2 - 2*p + 2*p - 2 + 2 + 11*p**2 + (2*p + 2 - 2)*(2*p - 2*p - p) + 4*p**2 - 2*p**2 - p**2 + 97 + 101 + 74*p**2 - 196.\nAnswer: 82*p**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2 - 49556*o + 495760.\nAnswer: -2*(o - 10)*(o + 24788)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*x + 3*x. Let m = x + 5. Solve -q - q - 2 = m for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(4131) - 3*(sqrt(4131)*-1 - sqrt(4131) - sqrt(4131)))\/(sqrt(6)\/(-3*sqrt(32))) + 1.\nAnswer: -1080*sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -5, -888, 1, 13.\nAnswer: -888, -5, 1, 13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 + 8*p - 22. Calculate k(-5).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -852*s + 420*s + 429*s. Let o(v) = v - 6. Let a be o(8). Let g(q) = -q**a - 4*q**2 + q**2. Give g(c(r)).\nAnswer: -36*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 + v**3 - 4*v**3)*(97 - 65 + 80)*(-3*v + 2 - 2).\nAnswer: 1680*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 673088?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -236.5? (a) 12 (b) -0.05 (c) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is z in -4*z**3\/3 + 12*z**2 - 80*z\/3 + 16 = 0?\nAnswer: 1, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -51, -83, -139, -231, -371, -571, -843?\nAnswer: -1199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6228036722.\nAnswer: 2, 54499, 57139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(108) + 3 + 2*sqrt(108) + (-2 + sqrt(108) + 1 - sqrt(108)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 11*q**4 + 11785*q**3 - 328711*q**2 wrt q.\nAnswer: 264*q + 70710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8510, 16989, 25456, 33905, 42330, 50725, 59084?\nAnswer: 67401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(1\/4)\/a**31*((a\/((a*(a**(-26)\/a)\/a)\/a))\/a)\/(a*a*a**21) assuming a is positive.\nAnswer: a**(-103\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -3554*p - 120795. Determine c(-34).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 384*z - 452*z = -14892. Calculate the remainder when z is divided by 50.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.202029783 - -6407.941960783. Let m = -6401 + f. Let z = 0.26 + m. What is z rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times -536?\nAnswer: -2680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.14312594 rounded to four dps?\nAnswer: 0.1431","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 689 minutes after 1:26 AM?\nAnswer: 12:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -57 - 24. Suppose 5*x = 3*z - 25, -2*z - p = 4*x - 3*z. Let g(s) = -s + 2. What is the units digit of g(x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4343*p + 7821 = 4364*p - 8806*p for p.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 20, 19, 16, 11, 4, -5, -16?\n\"Answer: -f**2 + 2*f + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 69*z = -5*n + 70*z + 10, -z - 6 = -n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*-42.\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i - 5*i + 2*i)*(-2*i**2 + 2*i**2 - i**4) + (2*i + 3*i + 7*i)*(5*i**2 + 5*i**4 - 5*i**2) + (0*i**5 - 3*i**5 + 2*i**5)*(-4 - 5 + 2).\nAnswer: 68*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2.909 + -2.9. Round o to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8794527 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 3 = -3*b, 0 = -5*j + 3*b + 4 - 7. Suppose j*o - 2*o + 20 = 0. Suppose 15 = 13*c - o*c. Let f(d) = -2*d + 2. Determine f(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 2*w = 0. Suppose w = 4*l - 7 - 5. Suppose -15 = -8*q + l*q. Solve -r - 1 = h, 0*r + q*h = 2*r - 13 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -23. Let o be (x\/12)\/(5\/(-60)). Suppose -3*b - 3*u = -5*u + o, 3*u - 6 = 3*b. Which is smaller: 15 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1854187, 7416731, 16687635, 29666899, 46354523, 66750507?\nAnswer: 90854851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, 7, 47, 125, 253, 443, 707, 1057?\nAnswer: 1505","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f + 5*t + 100, 5*t + 68 = -0*f + 3*f. Solve 7*w + f = 3*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -16*y - 603*y + 19960 + 2943 for y.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o + 4*i + 12, -o + 2*i = -i - 9 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(637) + 1*sqrt(637) - -4*(sqrt(13) - (sqrt(13) - sqrt(26)\/sqrt(2))))*2 - (-1 + ((0 + sqrt(1872))**2 - -5*(sqrt(13) + 2))).\nAnswer: -1881 - 77*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x. Let m(v) = -551*v. Give m(l(y)).\nAnswer: 5510*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + -50. Let w be (p\/9)\/(2\/9). Calculate the greatest common factor of w and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2411*u + 318*u - 206752 = -169*u - 794*u for u.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-1*sqrt(240)*3)\/((sqrt(420)\/sqrt(63))\/sqrt(12)).\nAnswer: 108*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/6*27*(-6 + 5). Let g(j) = -6*j - 5*j**2 + 3*j**2 - 1 + 13*j - m*j. Determine g(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2*l + 24. Let o be h(11). Solve -o*j + 4*j + 8 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 7) to base 9\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.122452 + -0.433318. Round r to one dp.\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18422233\/1053 - 17495. Which is greater: r or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 638461 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -2690*l**3 + 7*l - 2. Let g(p) = 4035*p**3 - 10*p + 3. Let v(m) = 5*g(m) + 7*k(m). Is v(1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 469472 is divided by 324.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18534 and 14.\nAnswer: 129738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, z: 11, p: 1, k: 4, m: 1}. Give prob of picking 1 k and 1 d.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 + 6*f + 5. Let d be q(7). Suppose -35 = -8*u + 5. Which is the second biggest value? (a) 1 (b) d (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 49, 122, 195, 268, 341?\n\"Answer: 73*k - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = v - 11. Let x be (30\/25)\/(v\/(-10)). Is -2 < x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34176513 to the nearest integer?\nAnswer: 5846","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15339 + 21701. What is the hundreds digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 + -52 + 1 + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10606*y**3 - 3 + 2*y**4 - 5305*y**3 + 3 - 5313*y**3 - 8*y + 18*y**2 = 0.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -267 to the nearest ten.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-2)*(-11)\/935*-17\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -30331 (base 4) in base 13?\nAnswer: -4ba","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 3 (b) 9182 (c) -2 (d) -3 (e) 0.4 (f) -59\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/(11\/4))\/2)\/(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 16 = -0*q. Is q at most -2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1722.982 milligrams?\nAnswer: 1.722982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/5, -3\/7, 0.2, 0?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 5. Is l a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 26*z + 58. Let x(a) = 9*a + 19. Let l(g) = 6*b(g) - 17*x(g). What is l(-10)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - (-1 + 7 + (-4 - -2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -814296910315 and 9.6.\nAnswer: -814296910305.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65988 and 10199?\nAnswer: 14319396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -423, -883, -1355, -1845, -2359, -2903, -3483, -4105?\nAnswer: -4775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 + -105?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -9. Suppose 2*b + 2*b - 22 = -5*i, -2*i = c*b - 16. Solve -5*w = -5*j + 10, 5*j - b*w - w - 6 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 5*u + 9. Let x(j) = -2*j - 1. Suppose 21 = 36*c - 15. Let a(i) = c*s(i) + 2*x(i). What is a(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 70962249 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309884 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - (5 - 0)) + 3. What is the smallest value in -0.07, u, 4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence beh when three letters picked without replacement from buutuuhuuueheu.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 841481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-1) - (-1 + 2). Suppose -k*y - y = -16. Suppose -11 - 9 = -4*a. Solve -a*x = -y*z - 45, 5*x = -4*z + x for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 175 divide 362775?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (68\/16)\/((-18)\/4). Let s = l - -65\/126. Which is the biggest value? (a) s (b) -4 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -15 in -2\/59, -0.5, 374?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 0*p - 40 = 0. Calculate the greatest common factor of 8 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 58182*a + 1163644. Determine i(-20).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 5\/(-88) + (4 - (-126)\/(-33)). What is the nearest to 1\/4 in c, 0, 0.1?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -6*k + 2*k + 296, 3*x - 440 = -5*k. Let n = 54 - 51. Suppose 56 = n*z + 8. What is the least common multiple of x and z?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 504 = 9*x. Let c be (-2)\/((-16)\/(-4)) + (-75)\/x. Put 2\/3, c, 3 in descending order.\nAnswer: 3, 2\/3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2365*i + 2369*i + 16 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 489 + 326 = -52*z - 485 for z.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -2*(4 - 207\/2)?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 490 + -143. Suppose c + 5*u = 404, -41*c + 2043 = -36*c + 2*u. Suppose 0 = -3*f + 4*m + c, -4*m + s + 356 = 5*f. What are the prime factors of f?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 211716941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -399 + 302. Which is greater: k or -94?\nAnswer: -94","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 8, o: 2, h: 1, m: 5}?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 2, k: 1, m: 11}. What is prob of picking 2 b?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 + 14*v + 58. What is the units digit of x(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**2)**2\/(u**(-2\/11))**(-9\/10))**(1\/46) assuming u is positive.\nAnswer: u**(211\/2530)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 274440, 551688, 828936?\nAnswer: 1106184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4)\/14*(-280)\/16 - -326 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/5? (a) 0 (b) -3\/22 (c) -0.1 (d) -3\/4 (e) -35\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -0.055, 3\/8, -0.428 in descending order.\nAnswer: 3\/8, -0.055, -0.4, -0.428","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4671 by -14376.\nAnswer: 1557\/4792","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1709*a = -3*u - 1706*a + 24, -6*a = 18 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*m + 24 = 4*h, -5*h = -2*m - 30. Suppose 523 = -h*t - 17. Let k = -84 - t. Solve 4*i + 4*w - k - 14 = 0, -2*w = 3*i - 11 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 2*u**2 - 10*u - 30. Calculate h(13).\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2041 - 328599\/161. Find the common denominator of y and -85\/22.\nAnswer: 3542","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (35082322\/1254)\/(8\/6 + -1)?\nAnswer: 17, 4937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/7 (b) -1.18 (c) -0.1 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1664*c**3 - 1691*c**3 + 2*c**2 - 2*c**2.\nAnswer: -27*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6421 + 13200. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 172 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1936.6 + 1934. Sort 1, -0.4, -2, i.\nAnswer: i, -2, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 - -58 - (1 + 0) - 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/6 and 59\/119?\nAnswer: 714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1848128735 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = n + 5*f - 7, 4*n + 3*f - 17 = 0. Suppose u = n*u - 139. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o**7\/o))\/o**(4\/3))**(-41)*(o\/(o\/(o**(-1\/4)*o)*o)*o)**(-30\/7)\/(o**(1\/8)\/o**(4\/5)) assuming o is positive.\nAnswer: o**(215987\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 596*f + 853*f = 3051*f + 8464*f - 664356 for f.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**7\/140 + 101*q**4\/12 - 11*q - 2. Let r(x) be the third derivative of o(x). Let v(b) = -b. What is r(v(g))?\nAnswer: -18*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.203 + 0.043. What is f rounded to one decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5494, 70622, 247400, 591652, 1159202?\nAnswer: 2005874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10 or 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4591946?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.9 take away 131.3863455?\nAnswer: -142.2863455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 14 - 20. Let i = -5704 - -5707. Sort -0.5, z, i in descending order.\nAnswer: i, -0.5, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 317473 is divided by 2103.\nAnswer: 2023","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microsecond in nanoseconds?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 - -16. Suppose u*n = n. Suppose -4*o + 4 = n, 3*y = -4*o + 7*o + 9. Solve 0 = -2*b - 4*f + 16, 0 = -4*b + b - y*f + 16 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 14046.97 days?\nAnswer: 2006.71","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((1*sqrt(10)*5 + sqrt(10) + sqrt(40)*-4)\/(-5*sqrt(10)\/sqrt(2)*3)*2)**2.\nAnswer: -1093\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 10 = -0*w + g, -5*g = 4*w - 43. Let a(p) = 2*p**2 - 10*p + 1. Let b be a(5). Sort b, w, -3 in ascending order.\nAnswer: -3, b, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5221\/220 - -91\/44. Which is greater: j or 25?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wr when two letters picked without replacement from {r: 5, w: 8}.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 633191 at most as big as 24061259\/38?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 166660 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 132785 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1221 + -3455244?\nAnswer: -3500505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes after 3:01 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor d**4\/3 + 6*d**3 + 56*d**2\/3.\nAnswer: d**2*(d + 4)*(d + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54 - 18 = -9*k. Suppose o = -4*o. Suppose o = k*f - 7*f - 16. What is the lowest common multiple of 2 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(1300) - (-4*(sqrt(13)*2)**2 + sqrt(13))) + 2)*-2.\nAnswer: -420 - 18*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 AM and 2:22 PM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 12:01 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-42)*2214\/(-3075))\/((-40)\/(-10))\nAnswer: -3\/70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s - 10. Let y = -4 + -6. Let t be a(y). Solve -5*g + 4*i = -20, 0 = -5*g - i - 5 - t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 475103797?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 6*x - 11. Determine y(-7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 3*s**3 - s**2 + 13*s - 10. Let p be x(8). Let h be p\/(-15) - (9\/15 + -1). What is h rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ctmcvtttmttctecime. What is prob of picking 1 t and 1 e?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -79, 3 in decreasing order.\nAnswer: 3, -5, -79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10.6 + 10. Let c = -0.2 - q. Let f be (-60)\/75 - (-2)\/(-10). What is the smallest value in 3\/7, c, 1\/6, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 5*d + 18 = 0, -3*u - d + 14 = 4*d for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 3*k. Let i(t) = 2*t**2 - 144. Give a(i(m)).\nAnswer: 6*m**2 - 432","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4*k + 16 = 0, f - 14 = -0*f + 2*k. Suppose 0 = 3*c + c - f. Let s = c - -1. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 3*t = y + 13, -5*y - 5*t = -35. Let b(g) = 2*g**2 + g + 14. Is b(y) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g. Suppose 2*b = 3*r + 16, 4*r + r - 2*b = -20. Let q(k) = k**2 - 9*k + 9. Let c(i) = 2*i - 2. Let n(a) = r*q(a) - 9*c(a). Give n(y(u)).\nAnswer: -8*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = -2*a + 4*b, 4*a + 2*b + 132 + 110 = 0. Let u be 57\/5 + a\/(-105). Suppose 5*o = -m + 1052, 196 = o - m - u. What are the prime factors of o?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006387025 to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 422 - 417 = 0. What is the second derivative of 118*u**5 + 4 + 137*u - 400*u**b - 1 - 3 wrt u?\nAnswer: -5640*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -77695, -155419, -233143, -310867, -388591?\n\"Answer: -77724*x + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, 27090, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 12:51 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 452718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -2*u**2\/3 + 5212*u\/3 - 5210\/3 = 0.\nAnswer: 1, 2605","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - d - 3*d = -8, 3*d + 8 = 5*z. Let i(t) = -35*t + 23. Let y(b) = 17*b - 12. Let q(m) = 3*i(m) + 7*y(m). What are the prime factors of q(z)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes before 8:49 AM?\nAnswer: 3:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3963, 16303, 36863, 65637, 102619?\n\"Answer: -p**3 + 4116*p**2 - p - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -131*q**6\/30 + 40*q**4\/3 + 29*q - 1. What is the third derivative of s(b) wrt b?\nAnswer: -3144*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.03198 and 32.\nAnswer: -1.02336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + i**2 + 3*i**2)*(-4*i**3 - i**2 + i**3 + 0*i**3).\nAnswer: -6*i**5 - 2*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a week in minutes?\nAnswer: 9072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 69868272 to the power of 1\/5, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -7\/6*b**3 + 2*b + 3*b**2 - 1\/12*b**4 + 0. Let p(u) = 8*u + 583. Let f be p(-74). What is s(f)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 12*l**2 + 12*l + 12. Calculate a(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 66.49.\nAnswer: 265.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -45, -81, -109, -129?\n\"Answer: 4*h**2 - 48*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 2*p + 33 - 83, 0 = 4*p - 5*c - 101. Solve -p = -21*g - 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2539660 rounded to the nearest 10000?\nAnswer: -2540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/4)*p*p*p*p**(1\/4)\/p*(p\/(p\/((p**(-2\/7)\/p)\/p)*p))**(-7)*((p**(3\/7)*p)\/p**(-5))**(3\/26) assuming p is positive.\nAnswer: p**(2388\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -3. What are the prime factors of r?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = -2*w - 8, -4*w + 6*y - 2*y = -16. Let t(f) = 2 - 4 + f + w. List the prime factors of t(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-196)\/(-36) + 20\/(-45)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 3}. Give prob of sequence np.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -2*o**2 - 21*o - 42. Let f(r) = r**2 + 11*r + 24. What is -3*a(m) - 5*f(m)?\nAnswer: m**2 + 8*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1691881017 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0*w = 0. Suppose o**2 + 8 - 7 + 2*o + w*o = 0. Calculate o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 5*k = -g, -2*k + 3 = -3*g. Let q be (-25)\/30 - (g - -2). Which is the second smallest value? (a) -5 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f = -0*f + 336. Let n be 6*3 + (19 - f). Solve -s - 5*x + n = 0, -3*s - 17 = -x - 0*x for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 19, 33, 47?\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-5)*g**(5\/3))\/(g**0)**(6\/17))**(2\/19) assuming g is positive.\nAnswer: g**(-20\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1\/d)**(-3\/8)\/((d\/(d**(3\/2)\/d))\/d**(-4)) assuming d is positive.\nAnswer: d**(-9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-16)\/3 - -2 - ((-4690)\/201 - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 16, 46, -0.3, 11, -620 in decreasing order.\nAnswer: 46, 16, 11, -0.3, -620","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 90.47942 rounded to two decimal places?\nAnswer: 90.48","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 20 = 0, 0 = -454*x + 449*x - 5*k + 30 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 5, 2\/5, -0.5, 0.5 in descending order.\nAnswer: 5, 0.5, 2\/5, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -348 = 9*x - 375. Solve -4*n + 8 = -4*m, -x*n + 7 = -2*m - 4*n for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4345*y**3 - 4278*y**2?\nAnswer: 26070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:12 PM and 5:20 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**5 + 2*b**2 + b**4 + 0*b**2 - 2*b**2 - b**2 + b**3.\nAnswer: -b**2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 11*w - 10. Let q be b(-12). Solve -q*x = c - 3, -3 + 7 = -2*c + x for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -247451 divided by 4.\nAnswer: -247451\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 22*b - 16. Let d(a) = -31*a + 11. Let p(q) = 50*q - 19. Let t(x) = -3*d(x) - 2*p(x). Let r be (1*-2)\/(2\/10). Calculate r*t(h) - 3*l(h).\nAnswer: 4*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 203 + -198. Put 3, y, 13 in decreasing order.\nAnswer: 13, y, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1724896 > 1724910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -32 - -36. Let r be (-10)\/(-1)*4\/10. Suppose t - 5*s = -3 + 9, -t + r*s = -8. Solve -3*i + t = -g, -i + 16 = j*g + 3*i for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 3*w**3 + 2078*w**2 + 20464*w - 161. Calculate n(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**2 - t + 1. Let q(c) = -2*c**3 - c**2 - 5*c + 2. Give q(v) - 2*y(v).\nAnswer: -2*v**3 + v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:46 PM and 7:36 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 0\/(-1) - 1572*23\/(-69)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -94681964*u**5 + 345365*u**2 - 58 wrt u?\nAnswer: -5680917840*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 c, 1 w, and 1 b when four letters picked without replacement from {a: 1, w: 1, x: 2, b: 1, y: 1, c: 1}.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -5, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 9*f**2 - 6*f - 8. Let g be s(7). Let l = -46 + g. Suppose 4*t + l*w - 7*w - 304 = 0, -20 = 5*w. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(51) + sqrt(561)\/(1*sqrt(11)))\/(1*sqrt(12)).\nAnswer: sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4665484 to the power of 1\/3, to the nearest integer?\nAnswer: 167","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 44 + 304*z**2 - 86 + 42 - 65*z**2 as w*z + f*z**2 + k and give f.\nAnswer: 239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i**2 + 3249*i + 35797. Give a(-11).\nAnswer: -789","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from byybbhlysbbbbvbhsbh. What is prob of picking 1 l and 3 y?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (1872\/468)\/((4\/(-6))\/(469\/(-231) + 2))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by 3.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100 (base 2) to base 10.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 638 = 5*z + 5*a, -a = -5*z - 653. Does -129 = z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1669318*q**2 - 1668581*q**2 + 2 - 2 in the form t*q**2 + f + m*q and give t.\nAnswer: 737","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3454579772?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + 3 + 3 - (-4 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and -21.5.\nAnswer: -21.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -96266 divided by -758?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -3.93 * 0.04\nAnswer: -0.1572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -2*h + 29. What is the second derivative of -11*i - 9*i**3 + 14*i**3 - h*i**3 wrt i?\nAnswer: -30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4 = -3*h, 2*h + 9 = 2*x + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oede when four letters picked without replacement from {o: 1, e: 1, d: 1, m: 1, g: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-1\/2))**(-1\/12)\/(d**(-2\/5)\/d)**(-13)*(d**7\/d**(3\/8))**(-1\/42) assuming d is positive.\nAnswer: d**(-10257\/560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1708556 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x**(-1))\/x*x*x*x*x**6*x\/(x**(-7)\/x)*x*x*x**(3\/8) assuming x is positive.\nAnswer: x**(155\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 1425 = -h + 1446, -5*k + 630 = 20*h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29 = 3*m - 17 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -2*d**2 + 26*d - 25. Let r be n(12). Let o be r*1\/3*(0 - -303). Which is bigger: o or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11093.55 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4214 - 32?\nAnswer: -4246","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5a8aba9a + 4?\nAnswer: -5a8aba96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**3 - 55*a**2 - 56*a + 83. Give o(-54).\nAnswer: 191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = -4*n - 16. Let l = 17 + n. Suppose -5*m - 4*w = -88, l*w = 5*m + 4*w - 115. What is the units digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ep when two letters picked without replacement from eemeepmpepmeeeepppp?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26 and 91.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 - 36151*l + 505921. Calculate r(14).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 119562647063 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -880 = -17*s + 6*s. What is the tens digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 PM and 3:53 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 168584.6 weeks in hours?\nAnswer: 28322212.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.111 greater than -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (0 + 47 + -23 - 12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -83 + 144. Let d = a + -59. Let g be 3\/1 - (d + 1). Solve 2*s + 2*t = g, 9*t = 3*s + 4*t for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 7680533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 891 + (-4 - -1 - -4)*-1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = -13 + 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**3 - 6*u**2 - u + 3. Let d be o(-2). Suppose -d*f = -15*f - 30. What is the remainder when ((-36)\/(-8) + f)*(-284)\/(-6) is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1\/(-2)*(-10 + -2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14890 - 14845. Suppose 3*a = -a + 528. What is the remainder when a is divided by q?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3232 = -163*z - 11382 for z.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5841, -5939, -6073, -6243, -6449, -6691?\n\"Answer: -18*j**2 - 44*j - 5779","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 635 + -611. Solve -330 - g = -59*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/17, -15, -0.4, -491, 0.1 in ascending order.\nAnswer: -491, -15, -0.4, 0.1, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0709723 and 5?\nAnswer: 0.3548615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -54 + 70. Suppose -a = 3*c - 5*a + 100, 5*c - 3*a = -174. Find the common denominator of -19\/22 and 2 - (-1 - c\/z).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 p when three letters picked without replacement from {p: 8, f: 3}.\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 277705 and 220?\nAnswer: 12219020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14 - -9) + (-4)\/46. Let t = -2343\/230 - k. What is the common denominator of t and ((-5)\/(-2))\/(16\/22)?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6\/((-3)\/((-9)\/6)) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + 2*i + 3*i)*(5*i**2 - 5*i**2 - 20*i**3) + (-17 + 4*i + 17)*(-4*i**3 + 0*i**3 + 5*i**3) to the form n*i + v*i**2 + c + m*i**3 + r*i**4 and give r.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 11bb54 + -29?\nAnswer: 11bb27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.4 (b) 5 (c) 13 (d) -277 (e) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, -91470\/19, -4\/3 in descending order.\nAnswer: 5\/3, -4\/3, -91470\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**2 + 24 - 2*d**2 + 3.\nAnswer: -7*d**2 + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 344284341 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -1728487*v**2. Let r(g) = 9*g. What is r(f(u))?\nAnswer: -15556383*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/11)*m*m)**21 assuming m is positive.\nAnswer: m**(504\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38, -12, 60, 202, 438?\n\"Answer: 4*o**3 - o**2 + o - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12 - -2) + 11)*(-52 - -65).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 7*a - 8. Let t be z(-4). Let f be -1 + (2 - 6\/(-3)). Suppose -f*w = -5*w + 8. Calculate the greatest common divisor of t and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - 9*s + 1. Let v(p) = -14*p**2 - 45*p + 10. Let c(g) = -v(g) + 5*w(g). Let d(l) = 66*l**2 - 18. Calculate -18*c(z) + 5*d(z).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h. Let i = -4 - -9. Let r(n) be the third derivative of -2*n**2 + 0*n**4 + 0*n**3 + 0 - 1\/20*n**i + 0*n. Give p(r(t)).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is fifteen quarters of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*o**3 - 360*o**2 - 2000*o + 36480 = 0. What is o?\nAnswer: -12, 8, 76","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -188 - 80ad0?\nAnswer: -80c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 206 + -162. Let r = q + -28. Solve -5*z + 21 = k, -5*z + z - k = -r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(1\/7)))*l)\/(l\/l**(-2\/29))*l**(-9)\/(l*l\/(l*(l\/(((l*l\/(l*l*l\/(l**(-3\/11)*l)*l))\/l)\/l))\/l)) assuming l is positive.\nAnswer: l**(-13262\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 122, 132, 144, 158, 174?\nAnswer: 192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -14123, -28213, -42287, -56345, -70387, -84413?\n\"Answer: 8*a**2 - 14114*a - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5488 and 3773?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (16*u + 3*u + 12*u)*(-u**3 - 2*u**3 + 2*u**3) in the form r*u + d*u**2 + c*u**3 + j + g*u**4 and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 18*s - 96. Let z be r(4). What is the remainder when (-9)\/(-6) - 3\/(z\/332) is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 6563 and -587743.637?\nAnswer: 594306.637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 118 + -115. Suppose 6*x - 2*x - 2*o = 406, -a*x + 305 = -o. Let m = 101 - x. Is m bigger than 1\/178?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 55475510 + -55476069.02062. Let w = -559 - k. Round w to 3 decimal places.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w - w)*(-2 - 9 - 6)*(2*w**4 - 3*w**4 + 3*w**4).\nAnswer: 34*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8\/5 or -2004?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -185*c - 6. Let q(a) = -62*a - 2. Calculate -17*q(n) + 6*w(n).\nAnswer: -56*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i**2 - 15*i - 20. Let p be y(-8). Let g be (3 + 44\/(-16))\/((-1)\/p). Are g and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*p - 7*p + p**2 + (-9*p + 5*p - 10*p)*(-p + 3*p - 3*p))*(0*p + 0*p - p) + 395*p**2 - 395*p**2 - 109*p**3.\nAnswer: -124*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3883502 and 9030?\nAnswer: 602","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 1144 + -1112. What is the closest to 0 in -1, -5, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - -4. Let r(a) = a**2 + a - 16. What is r(g)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w - 2. Let q be m(5). Suppose 3*x + 6*r - 30 = q*r, -3*x = 2*r - 25. Calculate the remainder when x is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2436.3, 2, 3, -1\/52 in increasing order.\nAnswer: -2436.3, -1\/52, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + ((-2)\/(-3) - ((-5896680)\/18 + -5)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and 2.1.\nAnswer: 0.042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18 = 4091*d - 4093*d - 2*o, -4*o = 5*d + 45 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1\/3 (b) -0.4 (c) -2418.455\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*u - 21*u + 24 = 0. Suppose u*a = -9*a + 169. Let h = -101 - -192. Calculate the greatest common factor of h and a.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 184 = 4*a, -d - 4*d + 177 = -3*a. Let k = -799\/148 + -41\/222. What is the common denominator of k and (30\/75)\/(d\/25)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + ((5 - 2) + 1 - 6) + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -349, -793, -1489, -2563, -4141, -6349?\nAnswer: -9313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -6 - 57\/28. Which is greater: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 2*z + 5. Let l be w(-4). Sort -10, l, 1 in ascending order.\nAnswer: -10, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/7, 3\/11, 17 in decreasing order.\nAnswer: 17, 3\/7, 3\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 2) + (-2 - 0) + 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6514274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of u**4\/24 + 2*u**3 - 8*u**2. Let q be x(-8). Suppose 24 = q*c - c. Solve -3*o + c = -o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*h**2 - 35*h**2 + 82*h**2 - 125*h**2.\nAnswer: -109*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p - p + 22*q - 19*q - 21, -19*p + 4*q - 52 - 13 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 94*l - 115*l + 3402. What is the units digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -1127078555 and -171.\nAnswer: -1127078726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 16 and 4631344824?\nAnswer: 4631344808","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117835*f**2*z**3 - 69*f*l*z**2 - 36*l*z**3 + 1908*l wrt f.\nAnswer: 235670*f*z**3 - 69*l*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2402 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38671492?\nAnswer: 2, 9667873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/21, 2\/11, -1\/2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*h = 6*h - 21243 + 257973. What is the remainder when h is divided by 132?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -275, 94\/7, 0.4, -0.484?\nAnswer: -0.484","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -579551 by -13.\nAnswer: 579551\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q - 2*s - 15, q = 5*q + 2*s - 10 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f - 11. Let y be j(8). Let a = 10 - y. Let s be (-5)\/1*(-8)\/10. Solve 10 = -o + 5*l, s*o + 2 + 13 = -a*l for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4*4*(4 + -5). Let y be (-348)\/u + 2\/8. Suppose f + y = -f. Let s(m) = -m - 6. Let z(q) = 2*q + 11. What is f*s(c) - 6*z(c)?\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 49, 10, -29, -68, -107, -146?\n\"Answer: -39*p + 88","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 129 = -r + 3*r, -4*n + 172 = -4*r. Suppose 4*a - 7 = -n. What is the units digit of (-283)\/(-3) + 12\/a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-6 - -6) + -10 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 13*h - 48. Let r be p(-16). What is the nearest to -1 in 1\/5, r, -3, 0.7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 8 = -30. Let z be 3\/(-2)*((-200)\/(-30))\/10. Let p(b) = -b**2 + b + 1. Let l(u) = -2*u**3 + u**2 - 2*u - 2. Calculate q*p(k) + z*l(k).\nAnswer: 2*k**3 + k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 5*j + 41 = 0, 0 = 3*v - 3*j + 2*j - 59. Calculate the remainder when 103 is divided by v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 8:24 PM?\nAnswer: 11:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/(11\/((-99)\/6))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -5 (c) -0.3 (d) -3 (e) 6\/86869 (f) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -22*b + 18*b - h - 2, 2*b + 2*h = 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.6 + -3. Let v = m - -1.4. Sort -1, v, -0.2.\nAnswer: -1, -0.2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 2*j**2\/15 - 74*j\/5 + 856\/15 = 0.\nAnswer: 4, 107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1850507039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 288, 1243, 2824, 5037, 7888, 11383?\n\"Answer: q**3 + 307*q**2 + 27*q - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -20*u**3 + u**2 + 2*u - 2. Determine q(1).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 45.83 smaller than -42226?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 10, 2 = -4*z + 4*y + 30. Suppose 0*h - z*h = -3*h. Solve h = -b - b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 7*b**2 + 7*b + 6. Let j(x) = -3*x**2 - 4*x - 3. Let n(i) = 11*j(i) + 6*l(i). Let k be n(2). Calculate the greatest common divisor of 14 and k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 945\/(-90)*4\/6.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 57932 + 52765 + 52763 - 8*r - 163460.\nAnswer: -8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(81)\/sqrt(3) + 4 + sqrt(12)\/sqrt(4) + 2 + 4)**2.\nAnswer: 80*sqrt(3) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -307618, -615248, -922878, -1230508?\nAnswer: -1538138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 603881 is divided by 201242.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 0*m + 4*m + 4 - 6*m - 3*m. Calculate q(3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5 - -12. Let x be 2\/((-1)\/(4 + -2)). Let o = x + b. Let h(s) = s + 3. What is h(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l - 1. Let o(c) = -6*c - 1. Let q(w) = o(w) - 2*p(w). Let x be ((-1)\/1)\/((-3)\/(-6)). What is q(x)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3, 4890, 1 in descending order.\nAnswer: 4890, 5, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-12)\/9)\/(1\/12). Let p be 5\/(-40) - 162\/q. List the prime factors of ((-78)\/p)\/((-8)\/40).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = o**3 - 16*o**2 + 14*o + 20. Suppose v + 1 = 5*i - 2, 0 = i - 2*v + 3. Let p be (-39 - -24)\/(i - (3 + -1)). What is a(p)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-1\/11)*(a\/(a*a**(-1)))\/a)**29\/((a**(-1\/4))**(5\/2))**(-41) assuming a is positive.\nAnswer: a**(-2487\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 4*y**2 - 3. Let o be x(4). Let a be o*(16\/(-12) - 0). Suppose 0 = r + 5, 2*k - 61 = r + a*r. Is 6 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 129*j*m*u**3 - 2*j*m*u**2 + j*m + 108*j - 2*m wrt u?\nAnswer: 387*j*m*u**2 - 4*j*m*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -748 + 750. Suppose -5*b - 18 = -d, 2*d + 0*d + 2*b = -12. Let g = d - 7. Sort g, f, -2\/11 in decreasing order.\nAnswer: f, -2\/11, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 5*a + 2*p, 2*p = 5*a - 1 - 9. Let x(y) = y + 1. Let i be x(-1). Suppose i = -0*o - a*o + 30. Is o a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 5*o)*(2*o**2 - 15*o + 15*o).\nAnswer: -2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 61943, 2955, -5 in decreasing order.\nAnswer: 61943, 2955, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = -2*k + 60. Let f = -8 + k. Suppose -82 = -2*l - 3*v, f = 3*l - v - 49. Is l a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51 - 12*z + 17*z - 9*z - z in the form n*z + v and give v.\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -9*d**3 + 571*d**2 + 279*d + 2658. What is j(64)?\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 137 (b) -1 (c) -1\/5 (d) 186\/5 (e) 0.04 (f) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 10486.\nAnswer: -6\/5243","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 948 - 555. What is the highest common divisor of x and 3799?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.9 - -74.9. Let w = k + -79. Which is the smallest value? (a) 0.5 (b) w (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(121)\/((2*sqrt(99) + sqrt(99))\/sqrt(9) + sqrt(11) + sqrt(11)))**2 + -4*(1 + sqrt(11)*-2 - -1*-1*sqrt(11)).\nAnswer: -31\/5 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = w - 45, w + 27889*r - 108 = 27901*r for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 + -7. Let i = -4162.86 - -4163. What is the nearest to -3 in i, c, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 72760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (0 - -2) + 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67133782?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the first derivative of 325*a**2\/2 - 51*a + 55. Is p(14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 24, 76, 200, 432, 808, 1364, 2136?\n\"Answer: 6*o**3 + 10*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 372.1.\nAnswer: 186.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8012*b**4*p - b**3*p**3 - 3*b*p**3 - 3*b*p**2 - 2*b*p + 2 wrt b.\nAnswer: -96144*b**2*p - 6*b*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3538587 to the power of 1\/2, to the nearest integer?\nAnswer: 1881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 u when two letters picked without replacement from {o: 3, r: 1, g: 6, k: 2, u: 2}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -637891345749 minus -0.124?\nAnswer: -637891345748.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5119377 to the power of 1\/6, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7 - 3. Calculate the remainder when (7\/14)\/(1\/30) is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 2*p + 19. What is i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - s + 20, 0*s + 2*s - 8 = -2*y. Solve 3*d + 1 = 4*d + 5*r, 3*r - 19 = y*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lll when three letters picked without replacement from {l: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 5*g - 24 - 2, -22 = -5*g + c. Suppose -23 - 1 = -4*a. Suppose -1 = o - a. Solve 0 = f - o*f - k - 12, -3*k = 4*f + g for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 123*d**2 + d - 5. Let m be r(3). Let f = m + -725. Let h be 4\/26 + f\/572 + 3. Which is smaller: 3 or h?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1685 or 1686?\nAnswer: 1686","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -180*34\/(-4080)*24?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 248 or 251?\nAnswer: 248","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 1612140000 to the nearest 1000000.\nAnswer: 1612000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (5 - -5) - 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -9 - -8.996. Let n = -2.304 - q. Let l = -1.7 + n. What is the closest to -1\/3 in -1\/6, 2, l?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 4*q - 12. What is the units digit of m(14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 5.5. Let o = -1 - 1. Let p be 1*3*o\/2. What is the third smallest value in w, p, 0.3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -2*c - 7. Let n be t(-6). Let k(d) = n*d + 5 - 4*d + 0*d. Let l be k(4). Calculate the highest common divisor of 99 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 19*q + 251. Let c be d(-13). Suppose -2*w - 17988 = -4*n, -2*w = -c*n - 4*w + 18004. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + 3 + 3 - 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 3*u**2 - 31*u. Let c(y) = y**2 - 10*y. Let o(m) = 21*c(m) - 6*r(m). Factor o(a).\nAnswer: 3*a*(a - 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-84)\/(-20) - 3)\/((-9)\/30). Let i(m) = -5*m**2 + 1 + 2 - 1. Let n(r) = 6*r**2 - 2. Determine v*n(c) - 5*i(c).\nAnswer: c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 301 is divided by 170\/(-45)*(0 + -27).\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - 2 - -6) + 1\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 906*b - 901*b - 40 = 0 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1126, -3301, -5478, -7657, -9838, -12021?\n\"Answer: -a**2 - 2172*a + 1047","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r - 47*r + 90168 = 16*r. Calculate the greatest common divisor of r and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 584806*f - 1 - 25801*f - 28956*f.\nAnswer: 530049*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 34*f + 7. Is n(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8414 is divided by 99.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/7 + 2*r**2 + 600*r - 12672\/7.\nAnswer: -2*(r - 48)*(r - 3)*(r + 44)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 120 and 82848.\nAnswer: 414240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of 0*l**3 + 2*l - 79 + 2*l**2 + 11\/10*l**6 - 1\/5*l**5 + 0*l**4. What is the derivative of f(t) wrt t?\nAnswer: 132*t**3 - 12*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes before 2:34 AM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 29.1 + -29. Let f be (-2 - (-20)\/6)*(-6)\/(-10). Which is the closest to r? (a) f (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.3 and 0.26.\nAnswer: -0.078","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.33? (a) 2\/11 (b) 2\/7 (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 71*a. Let w(p) = 20090*p. Give w(o(z)).\nAnswer: 1426390*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*d - 5*d + 225. Let m = -1 - d. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 674026787.\nAnswer: 7, 29, 227, 14627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 61039296*h**4 - 25495014?\nAnswer: 244157184*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11272700*i**2 + 22545390*i**2 - 11272693*i**2 + 12*i - 12*i.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 6*b = -5*o + 16, -3*b = -3*o - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -221123103022 (base 4) to base 6.\nAnswer: -1024432254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-seven quarters of a meter?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 109\/82410 and -121\/46740?\nAnswer: 3131580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-6) + (-12)\/9. Suppose 9*n - 4*n - 79 = 4*f, 0 = 5*n - 15. Which is smaller: m or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the second derivative of 19*p**4\/6 - 11*p**3\/2 + p**2 + 2*p + 3. Find the second derivative of v(m) wrt m.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -707, -2817, -6331, -11249, -17571, -25297, -34427?\nAnswer: -44961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -42, -69, -98?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 912288 divided by 19006.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/41631861 and -145\/238578?\nAnswer: 83263722","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/5 of a microsecond in nanoseconds?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of k**4\/12 - 4*k**3\/3 + 7*k**2\/2 + 12*k. Let p be g(7). Suppose -2*f = v - 3*v, p = 3*v. Solve f = d - 0*d - 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by 32.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i**2 + 25. Let f(m) = -78*m + 15. Let c(r) = 109*r - 21. Let b(p) = 5*c(p) + 7*f(p). Calculate x(b(k)).\nAnswer: 2*k**2 + 25","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*d**2*r**2 + 231*d**2*r - 23*d - 9*r**2 wrt d?\nAnswer: -4*r**2 + 462*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 381, 383, 385, 387, 389?\n\"Answer: 2*m + 379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 314185 = 86*u - 55*u. List the prime factors of u.\nAnswer: 5, 2027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2615690?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**3 - 18*q**2 + 14*q + 25. Let a be k(17). Let l be (-262)\/4 - (-39)\/a. Let h = 67 + l. Solve -3*o + 0*o - 3 = h for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**3 - 3*q**2 + 2*q - 2. Let x be b(3). Calculate the highest common factor of x and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 2 - 2)*(4*s**2 + 0*s**2 + 0*s**2) + 23*s - 28*s**2 - 23*s + (3*s + 2*s - 6*s)*(-s - s + 3*s).\nAnswer: -5*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-5)\/(-20) - 14\/(-8). Suppose -r*o = 0, o = 5*h - 3*o + 25. What is the second smallest value in 1, -3, h?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9.23 + 0.23. Let g = x + 8.8. Which is the closest to -0.3? (a) g (b) 5 (c) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in 8, -1\/6, -0.3, 0.2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2\/3)\/(3\/(-9)). Suppose -f = 2*f - 15. Put o, -1, f in increasing order.\nAnswer: o, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 30 (b) -4 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5676.289nm?\nAnswer: 0.000005676289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a + 0*a - a)*(a + 0 + 0) + 4 + a**2 - 4 + (-3*a + 3*a + 2*a)*(0*a - a - a) - 2*a + 4*a**2 + 2*a.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - (5 + -16)) + 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (53*j - j**2 - 53*j)*(-j - 9 + 9) in the form r*j**2 + p*j**3 + m + i*j and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u - 53. Give h(-10).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 15 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 14*j**2 + 47*j + 877. Let c be p(-11). Calculate the greatest common factor of 234 and c.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/2 - ((-74784)\/760)\/(-82)?\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/9 + 114\/(-27). Let l = -4 + 52. What is the units digit of (l\/30)\/(o\/(-10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -260 - 24*w**3 + 260 + (1 - 1 + 1)*(-6248*w**2 + 6248*w**2 - 72*w**3) to h + i*w + a*w**2 + u*w**3 and give u.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 - 8*u**3 - 4 - 2*u**2 - 6*u**4 = 0 for u.\nAnswer: -1, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -82, 1\/4, -5\/3, 0.5?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24049 + 24049.012633. Round q to four decimal places.\nAnswer: 0.0126","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(720)*-1 + sqrt(720))\/((sqrt(48)\/sqrt(3))\/sqrt(4)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -77\/1092688?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i - 117. Let v(j) = 81*j. Determine p(v(f)).\nAnswer: -81*f - 117","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 16 = -2*l, 3*l + 48 = 4*o + o. Suppose 2*k - o = 5*k. Are -31\/6 and k equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**(-2\/5)*(y\/(y*y*(y**(-1\/5)*y)\/y))\/y*y)**(-24) assuming y is positive.\nAnswer: y**(24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 4, 162, 3, 66 in ascending order.\nAnswer: -4, 1, 3, 4, 66, 162","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -5 times -1192859\nAnswer: 5964295","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 18 = 13*i. Let l be ((-63)\/i + -3)*-2. Let u = -14 - l. What is the highest common factor of u and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 AM and 3:35 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 281, 563, 845, 1127, 1409, 1691?\n\"Answer: 282*n - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -57 divided by 26?\nAnswer: -57\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25905103*f**3 - 33*f - 71101?\nAnswer: 155430618*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26388759 divided by -8796253?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 377, 636, 895, 1154?\nAnswer: 1413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence enx when three letters picked without replacement from eeeeppeeexxne.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qmmq when four letters picked without replacement from {q: 1, r: 9, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 10920a?\nAnswer: -109212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 35\/(-14)*1*(-6)\/(-20)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 96*c**2 + 4*c - 24. Let x be i(3). Solve -848*a + 4 = -x*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*i - 6 = 5*i + 4*j, -i = 11*j + 36 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-22)*n**(-1\/14)*(n**(8\/3)\/n)\/(n*n*n**(-11)) assuming n is positive.\nAnswer: n**(-479\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*v**2\/17 + 8365116*v\/17 + 8746895711682\/17.\nAnswer: 2*(v + 2091279)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 173cc (base 14) to base 15\nAnswer: 1247c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/2, 2, -1\/6, 1\/3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*h*o**3*y**2 - 2762*h*o*y**5 - 79*h*o + 2*h*y**2 + o**3*y**4 + 6*o**2*y**2 wrt y?\nAnswer: -165720*h*o*y**2 + 24*o**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10806939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 167 a factor of 219296885?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y = x + 9*y + 10, -x = 3*y - 20 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -621, -1230, -1839, -2448, -3057?\nAnswer: -3666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3525.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4326*t = -4329*t - 21 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 - 11*m**2 - 3*m - 4. Let p(f) = -f**2 + f. Let n(a) = -d(a) + 4*p(a). Let z be n(8). Let l(r) = r - 16. Let q be l(13). Are z and q unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/(-560))\/((-3)\/(-4))*(-264)\/18.\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -93981067789 and 0.2?\nAnswer: 93981067789.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-8) - (2 + 15\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-7)*h**(-2\/21))**(1\/18)*h**(5\/6)*h**7*(h\/(h\/h**1*h)*h)**(-39) assuming h is positive.\nAnswer: h**(-5965\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1302736 - -315?\nAnswer: 1303051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-24413.\nAnswer: -122065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -117*y + 209*y + 243*y = -154*y + 6846 for y.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - ((-3822)\/(-325) + -22))\/3?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = 2*a - 103. Does 6 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 2203\/9?\nAnswer: 2203\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 9*s + 8*d - 30678 = 0, 5*s - 4*d = 153610. What are the prime factors of s?\nAnswer: 2, 15359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4, -456, -1784, -4426, -8820?\n\"Answer: -73*l**3 + 59*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 30\/9*(-37)\/(-370)*-45\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 361*f + 1093. Calculate o(-3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 809 is divided by 175?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8 or 33?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 1748?\nAnswer: 1\/437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 598 in 220.4, -1\/2, 0.5, -3\/2, -3\/5?\nAnswer: 220.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 57 + 103. Suppose 2376 = 76*v + 780. Let c = l + v. Is -11 <= c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 10:46 PM?\nAnswer: 11:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -76040.3 to the nearest 1000.\nAnswer: -76000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -30 - -22 - -8.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*a + r = 180, -4*a + 70 = r - 10 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*g = -6*g - 12. Suppose -k + 3*k - g = 0. Is 8 greater than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-7))**(12\/7)\/(t**(-2\/5))**(1\/10) assuming t is positive.\nAnswer: t**(-299\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 94\/36045 and 127\/13350.\nAnswer: 360450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -809 = 51*x - 5552. Calculate the remainder when 180 is divided by x.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(171) - (sqrt(171) - -1*sqrt(171))*6)*1)**2 - (1 + (5*(sqrt(2736) + 0) - (sqrt(2736) - sqrt(2736)*-2)*4)**2).\nAnswer: 610811","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 212 and 954?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2220012022 (base 3) to base 4.\nAnswer: -31322231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 - -1. Suppose -3*f - 6 = -3*v - 0*v, v - 4*f - 2 = 0. Let s be (v\/(-3) - -1)\/((-10)\/12). Which is the closest to 0? (a) l (b) 2 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(1539)*2*-2 + sqrt(1539))**2 - (sqrt(1539) + 2 + 3)**2 - ((6*(sqrt(1539) + -4*sqrt(1539)))**2 - (4 + (sqrt(1539) + -2)**2))).\nAnswer: -484802 - 126*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - 9 - (0 + -4).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the third derivative of 0 + 5\/7*q**3 + 0*q - 19*q**2 + 1\/420*q**6 - 29\/84*q**4 + 13\/210*q**5. Determine o so that r(o) = 0.\nAnswer: -15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -3*j - 2. Let p(v) = -2*v**2 - 2*v - 2. Let n(y) = 2*p(y) - 3*t(y). Let u(d) = -d**2 + d + 1. Calculate n(x) - 5*u(x).\nAnswer: x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**3 - 10*j**2 - 10*j + 20. Let p be q(-9). Let o = -21 + p. Solve -2*r = o, -3*r = -2*y + 9 + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-5 - (-24)\/(-6)) + 14. Suppose -2*x - 10 = -6, w - 605 = -c*x. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(12)\/(-2*sqrt(2)))\/(sqrt(50) - -2*sqrt(50) - sqrt(2)).\nAnswer: -sqrt(3)\/28","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 12, 159.\nAnswer: -4, 3, 12, 159","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the third derivative of s**7\/210 - 3*s**5\/20 + 43*s**4\/3 - 2*s**2 - s. Find the second derivative of y(b) wrt b.\nAnswer: 12*b**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 32138 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 206550 rounded to the nearest 10000?\nAnswer: 210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3974 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(104)\/(sqrt(8) + sqrt(32)\/(sqrt(24)\/sqrt(6)) - sqrt(8)) - (sqrt(117) - -1*sqrt(117)*5)\/sqrt(9).\nAnswer: -5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of d**6\/360 + d**5\/30 + d**4\/6 - d**3\/3 - 2*d**2. Let w(j) be the first derivative of f(j). Factor w(g).\nAnswer: (g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -359 + 184. Let t = -168 - v. Suppose 3 = 3*x + 3*m - 2*m, -2*m - 6 = 0. Solve -x*k - 1 = -t for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6805 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 + 126.5. Which is the second smallest value? (a) 2\/25 (b) 2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-10)\/(-6))\/((-1)\/(-6)). Let q = -3 + b. What are the prime factors of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3*1)\/(2\/2). Let r be (-3)\/o*-1*1. Let k = 0.2 + -0.6. Put 1\/5, r, k in increasing order.\nAnswer: k, 1\/5, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - 404*t + 2009. Calculate j(5).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 332*b**2 + 7048*b + 6720.\nAnswer: 4*(b + 1)*(b + 40)*(b + 42)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -88 + 115. Let t = 160 - 65. Calculate the remainder when t is divided by c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 56 = 36. Let z be (18 + -10)*1\/j. Let s(h) = 13*h - 2. Give s(z).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 949 a factor of 104506511?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*t - t + 5*t - 706*t**3.\nAnswer: -706*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -7 + 10 + -1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1024203, -1024196, -1024189?\nAnswer: -1024182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2175300?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (1 - (9 - 1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 2 - (-13 + 15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4548?\nAnswer: 2, 3, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from {f: 4, e: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) -1\/10 (c) 0 (d) 4 (e) 5\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -465144 + 116288 + 116297 + 116265 + 116294 + 2*j.\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 11000101 (base 2) to base 6\nAnswer: 525","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2716120 from 83.\nAnswer: -2716037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 4*w + 13. Let z be o(-6). Let j(u) = 2. Let t(n) = -n. What is z*j(p) - 3*t(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 665714 or 29957074\/45?\nAnswer: 29957074\/45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 381 a factor of 73797?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 137*n. Let w be x(1). Suppose j - w + 8 = 0. Suppose 4*h + 29 = -4*v + j, -v - 5*h + 45 = 0. Is 8 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2455826, 4911608, 7367390, 9823172, 12278954, 14734736?\n\"Answer: 2455782*t + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose -4*x = c - 18, 0*x + k*x - 22 = -5*c. What is the second derivative of 2*j**2 - j + 2*j**3 - j**2 - j**c wrt j?\nAnswer: 12*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8407503.\nAnswer: 3, 13, 17, 1409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14771 - -14772. Let o(b) = 43*b + 3. Let a(m) = 1. Determine z*o(v) - 3*a(v).\nAnswer: 43*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/n**0*n\/(n**(-6\/19)*n*n))**(-12\/13) assuming n is positive.\nAnswer: n**(-300\/247)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 144*v - 436. Does 13 divide m(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-48)\/(-48)*((-3)\/1)\/(-3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8531\/5 + 1706. Put 14, -2, 11, n in ascending order.\nAnswer: -2, n, 11, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2100 + 12?\nAnswer: -2011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 2*i**2. Let b(h) = -h + h - h - 3*h. Give b(a(s)).\nAnswer: -8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 701.60791 rounded to the nearest 10?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 2*g - 2 + 2. Let c(p) = 3*p. Calculate -5*c(a) - 6*h(a).\nAnswer: 3*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 0*f + 4 = 0. Suppose -5*d + 21 + 0 = 2*q, f*d - 26 = -2*q. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1705 - 229 = -267*q - 393 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(198)\/(sqrt(384) + 1*sqrt(384)))\/(sqrt(15)\/(sqrt(5)*-2*-4)).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + -2*sqrt(6912) - sqrt(6912))**2 + 5.\nAnswer: 576*sqrt(3) + 62217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1 - 1434?\nAnswer: -1433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 193026*v**2. Let r(t) = -3*t**2 + 19. What is r(y(n))?\nAnswer: -111777110028*n**4 + 19","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 12928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - 95*v + 1 = -91*v, -5*u + 2*v = -0*v + 33 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*g - 8*g + g + 5*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of 0 + 3*k**3 + 0*k - 42*k**2 - 5\/24*k**4. Find the first derivative of g(j) wrt j.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*j - 372 = 468. Suppose 0 = 7*s - 6*s + 5*g - 22, 3*s - j = -3*g. Solve 3*b - s*b = 8 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8971680*0.5.\nAnswer: -4485840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -25292, -25140, -24886, -24530, -24072?\n\"Answer: 51*a**2 - a - 25342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**4 + v**3 + v**2 - 1. Let z(i) = 125*i**5 + 244*i**4 + 109*i**3 - 6*i**2 - 4. Let s(l) = -4*w(l) + z(l). Factor s(t).\nAnswer: 5*t**2*(t + 1)**2*(25*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of -3*l**2 + 3*l + 41. Let u(b) = 2*b**2. Calculate c(u(f)).\nAnswer: -12*f**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 3*z. Let j(t) = 174*t - 21*t - 17*t + 258*t - 7*t. What is j(f(p))?\nAnswer: 1161*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 41 - 39. Sort i, -3, 5 in descending order.\nAnswer: 5, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -2\/9.\nAnswer: -1, -2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4276275 by 1005.\nAnswer: 4255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-28*q + 4*q**2 + 28*q)*(-2 - 4 - 3).\nAnswer: -36*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 107418597?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1765, 6722, 14843, 26014, 40121, 57050, 76687, 98918?\nAnswer: 123629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 10, -1\/6, 1, 1.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-15 + 16)\/53*-2\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 115 - -45437?\nAnswer: 45554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15\/8 in 2\/897, -4, -0.4?\nAnswer: 2\/897","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-5)\/(-15))\/(1\/(-9)). Let g = p - -15. What is the tens digit of (2\/(-2))\/((-1)\/g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 38.20336l to millilitres.\nAnswer: 38203.36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11363343 divided by -3787781.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*((-4)\/(-6))\/(-1). Suppose -4*o + 10 = 5*h, -5*o - 2*h + 5 = 1. Suppose -4*u - 3 + 15 = o. Solve 0 = -2*s - 5*c - 14, -u*c = s + i*s - 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -5*a**2 - 2*a. Let g = 56 - 54. Let y(c) = -3*c**2 + 8*c**2 + 2*c - c**g. Let m(i) = 4*w(i) + 6*y(i). Let m(z) = 0. What is z?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29490311, -29490325, -29490355, -29490407, -29490487, -29490601, -29490755?\n\"Answer: -n**3 - 2*n**2 - n - 29490307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20 * 12897724.\nAnswer: 257954480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 4 - 1)*(-11*t - 6*t + 3*t)*(-9 + 0 + 4 + (1 + 1 - 1)*(1 - 2 + 0) + 0 - 5 + 3 - 15 - 9 + 29).\nAnswer: 84*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 41414240 and 2575?\nAnswer: 515","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -8*g + 104. Suppose g*j - 3677 = -779. What are the prime factors of j?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, c: 2, q: 1, n: 1, s: 2, k: 1}. Give prob of sequence sqk.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 78 and 195?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9*b**2 - 16*b + 16*b to the form z + s*b**2 + w*b and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 j when four letters picked without replacement from {o: 2, r: 1, j: 2}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k - 5*k - 11*k**3 - 7*k**3 - 4*k**3.\nAnswer: -22*k**3 - 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-2)\/8)*(-2)\/4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66990, -133950, -200908, -267864, -334818, -401770, -468720?\nAnswer: -535668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2 + 101*a + 100.\nAnswer: (a + 1)*(a + 100)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 2*g**2 + g - 73. Determine a(0).\nAnswer: -73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -7 + 1. Put -3, -1, r in decreasing order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**3 + 10*u**2 - u + 13. Let f be n(10). Suppose 0 = -5*d - p + 121, 5*d + 2*p - f*p = 119. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/22 and ((-160)\/1144)\/((-4)\/3).\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1553 + 1487 = -33*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -2*c**3 + c**2 + 3*c + 4. Let y be l(3). Let k = 52 + y. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3377262 and 1684?\nAnswer: 6754524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(832) - 3*-3*sqrt(832) - (2 + sqrt(832)*-3 - sqrt(832)))**2*3 + 2).\nAnswer: -8064*sqrt(13) + 2935380","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 2598354?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 241d2 - 5?\nAnswer: 241cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 497161?\nAnswer: 7, 71023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/20 + 2\/5*-1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 5*c - 5, 0 = y - 5*c - 17. Solve -y*x + 4 = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1072 - 4e04?\nAnswer: -5e76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2236 or -2235?\nAnswer: -2235","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 161\/4 + -40. Let o = 124 + -124. Is s < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2277.\nAnswer: 3, 11, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = b - 5*w, 5*w = b + b - 31. Suppose 0 = -y + 2*u - 6, -126*y + 127*y = 4*u - 8. Put b, y, 5, 7 in decreasing order.\nAnswer: 7, 5, b, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 653 + 4?\nAnswer: 657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l = -7 + 14 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**2 - l - 2. Let o(n) be the third derivative of -n**5\/30 + n**4\/8 + 5*n**3\/6 - 2*n**2. Let m = 2 + -7. Determine m*u(a) - 2*o(a).\nAnswer: -a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + -4 - (46 - 35).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 1)\/(-8 - (665\/21)\/(-5))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + -20?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 178 is divided by 41?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1384, -993, -600, -205, 192, 591?\n\"Answer: w**2 + 388*w - 1773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the first derivative of 44\/5*p**5 + 13 + 0*p**2 + 35*p**4 + 0*p + 100\/3*p**3 + 2\/3*p**6. Let o(r) = 0. What is r?\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-2*sqrt(288) - sqrt(18)\/sqrt(144))**2 + (sqrt(160)\/sqrt(5) + (sqrt(2) + 5*(sqrt(2) + 1))**2)*-2.\nAnswer: -10185\/4 - 128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -150 in -4, -32, -23?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17347 + 8091 = 14*x. Let w = x + -949. List the prime factors of w.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -2*b**3 - 20*b**2 - 18*b + 3. Let t(n) = -3*n**3 - 41*n**2 - 38*n + 5. Let c(g) = -6*t(g) + 10*u(g). Factor c(s).\nAnswer: -2*s*(s - 24)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -19416 (base 14) to base 10.\nAnswer: -63916","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 5*v**2 - 7*v + 1. Let l be c(6). Let x(h) = 4*h**3 + h**2. Let w be x(1). Sort w, 2, l in descending order.\nAnswer: w, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the third derivative of 0*o + 1\/120*o**6 + 0 + 11*o**2 + 7\/6*o**3 + 0*o**4 + 0*o**5. What is the first derivative of j(f) wrt f?\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 136096266?\nAnswer: 2, 3, 193, 211, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -58*p + 30*p + 172816000. What is p rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*(-3)\/(-54))\/(31\/93)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u**2 + u**2 + 735*u**3 - 282*u**3.\nAnswer: 453*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2516811817?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/36 and 1\/(-90) - 5*(-9)\/(810\/12).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -934691, -934706, -934743, -934814, -934931, -935106, -935351, -935678?\nAnswer: -936099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2135 and 20923?\nAnswer: 104615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66 is divided by 19?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -2096033 >= -2096027?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, h: 1, p: 2, o: 1, y: 1, j: 2}. What is prob of sequence np?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3172, 6019, 8914, 11881, 14944, 18127, 21454?\nAnswer: 24949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 1, t: 1, m: 2, x: 4, g: 3, u: 1}. What is prob of picking 2 m and 2 g?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16811 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 107. Suppose -k = 66*s - 69*s. Is (-16)\/s + 0 + 547 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 121434.06 - 122422. Let q = l + 1000. Let m = -0.06 + q. Put m, 0.5, -5 in increasing order.\nAnswer: -5, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -717617\/749 and -958 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8362 + 1548 = 5*p. Suppose 5*k + p = 7*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 + k - 2. Let v be b(-6). Let p(d) = 2*d**2 + 15*d - 4. Let o be p(-8). What is the greatest common divisor of v and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.4127041 to 1 decimal place.\nAnswer: 7.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8818*f**5 + 3*f**4 - 6*f**3 - 24*f**2 - 95002*f + 4.\nAnswer: -529080*f**2 + 72*f - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 11*r + 5. Let c be l(-7). Suppose -f = c + 6. Let v = f - -55. Is 17 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26995516315 + 793*n - 26995516315.\nAnswer: 793*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*b + 2*b - 4*b)*(178*b**2 - 2606*b + 2606*b) in the form r*b + p*b**3 + w*b**2 + j and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/2*(105 + -33)\/(-18).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 5, s: 2}. What is prob of sequence esse?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 16*s + 3 to the form t*s + x and give t.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, j: 2, l: 9, t: 3}. What is prob of sequence ll?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(-4)\/w*w)\/w)\/(w*w*w\/w**(-4))*(w\/((w\/((w**(2\/5)\/w*w)\/w))\/w))\/w*w*w**(-2\/3)\/w*w assuming w is positive.\nAnswer: w**(-184\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.4, -15, 7?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(2) + -2 + sqrt(2)) - sqrt(4)\/(sqrt(12)\/sqrt(6)))**2.\nAnswer: -60*sqrt(2) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7826\/301*(-4)\/(-78).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-194)\/8 - (-4)\/16. Let m = 34 + x. Calculate the highest common divisor of m and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*x**2 - 3 - 2*x + 5 - x**2 + 0*x in the form m + b*x + h*x**2 and give h.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*m - 4*a, 2*a - 5*a = -5*m + 7. Solve m*i - 3*i = -4*x + 17, -4*i + 4 = 2*x for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-31))\/((-226)\/3503)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z = -6*b + 51698 - 51725, 3*z - 2*b - 27 = 0 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 9*m**5\/4 + 7748*m**4 - 262131*m**3\/4 + 381323*m**2\/2 - 212280*m + 62136 = 0.\nAnswer: -3452, 4\/9, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 329 at most as big as 329?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -m**6\/30 + m**5\/60 + m**4\/24 + m**3\/6 - 2*m**2. Let s(j) = 2*j - 3. Let k be s(1). Give n(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -279*c**2. Let p(x) = 22193*x**2. What is r(p(s))?\nAnswer: -137415660471*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.0022 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 x when three letters picked without replacement from {c: 1, x: 1, i: 1, u: 2, s: 1, k: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 - 2)*(6 - 4 + 2)*(6 + 5*z**4 - 6).\nAnswer: 40*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2454109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -1524*-171\nAnswer: 260604","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -2.1, -0.6731, 0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -316*d + 331*d - 30 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 46 and 69.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 169, 3, -94\/5?\nAnswer: -94\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh smallest value? (a) -1194.93 (b) 1 (c) 3 (d) -5 (e) -2\/5 (f) 0 (g) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -193, -3, 0.05, 3 in increasing order.\nAnswer: -193, -3, 0.05, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m - 2*i + 46, m + 61 = 5*m - i. Let b = -13 + m. Let a(h) = 2*h**3 + 2*h**2 - 2*h + 2. Let p(q) = -q**2 + q - 1. Calculate b*a(n) + 2*p(n).\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0297597 nanograms in tonnes?\nAnswer: 0.0000000000000000297597","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 11. Suppose -2*d + c = -38. Suppose 0 = 5*y + 4*h - d, 5*y - 2*h + 1 = -2. Is 2 >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/13670287 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*y + 15*y + 320*y**2 + 40*y - 322*y**2 in the form s*y + d*y**2 + m and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3238329119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13871372 is divided by 389?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2 and 250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.26 - 33.26. Let g = -35 - t. Put 5, g, -3\/4 in ascending order.\nAnswer: g, -3\/4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7 in -8, 2, -5, -4?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = -9048*c + 9053*c + 229 + 69, 0 = -8*z - 576 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**3 + 54531*b**2 - 809*b + 106 wrt b.\nAnswer: 6*b + 109062","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 10 = -x, -3*x + 12 = -0. Put 5, u, 4 in decreasing order.\nAnswer: 5, 4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**3 + 6*m**2 - 5*m + 3. Let i be v(5). Which is the closest to i? (a) 2 (b) 1\/6 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -120*q**3 + 635*q**2 - 570*q - 765 = 0.\nAnswer: -17\/24, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s - 9. Let k be d(-4). Let r(j) = 1 + 2*j + 3 + 3 - j. Let w be r(k). Solve -2*u - w*u - 8 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {e: 2, h: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 5:19 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -15*k**3 - 1710992*k**2\/3 - 6867148*k - 304080 = 0.\nAnswer: -38010, -12, -2\/45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*n + 40*n = -30. Suppose c - 15 = n*b - 6*b, -4*b = 5*c - 71. What is the least common multiple of c and 19?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/9)*x*x\/(x**(-1)*x)*x**(2\/101)\/(x\/x**(-22)) assuming x is positive.\nAnswer: x**(-18566\/909)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 640 + -639. Which is the fourth smallest value? (a) -0.04 (b) -2\/37 (c) z (d) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 + 0. Let k = 2 + 9. What is the highest common divisor of k and y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -644 - -1074. What are the prime factors of o?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95731087 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -74, -1, -2\/3, 6\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 8? (a) -5\/2 (b) -2\/21 (c) -3 (d) 43\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 66465 and 120267?\nAnswer: 126881685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 (base 2) in base 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**8)\/(((h*h*h**(-2\/17)\/h*h)\/h)\/h))\/(h**(-1\/7)\/((h\/((h*h\/(h\/(h*h**(-11)\/h)))\/h))\/h)))**(-12\/5) assuming h is positive.\nAnswer: h**(-6084\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of q**4\/4 + 2*q**3 - 3*q**2\/2 - 9*q - 5. What is the remainder when c(-5) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 1704, -1\/2, 5.\nAnswer: -71, -1\/2, 5, 1704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 2*a + 362 + 92 = 0, 458 = -2*k - a. Let j = -964 + 1400. Let b = j + k. List the prime factors of b.\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m + 31 - 2*m - 77 + 4*m**3.\nAnswer: 4*m**3 - 2*m - 46","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -135 (base 15) in base 16?\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 131109630 a multiple of 2474?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 0 + 0)*(3*n**4 - 3*n**4 + n**4) + 0*n**5 + 2*n**5 + 2*n**5 - 18*n + 18*n + 22*n**5.\nAnswer: 25*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -56.6226 - -21.625. Let x = 42.1 - 7.1. Let j = h + x. What is j rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-3\/2)*t**2)\/((t\/t**(1\/3))\/t*t*t**(-4))*(t*t**(-1\/3)\/t)**(13\/5)\/(t\/t**(2\/7)*t*t**5\/t) assuming t is positive.\nAnswer: t**(-577\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3128\/65 + -610\/13. Factor 8\/5 - h*z**2 - 8\/5*z.\nAnswer: -2*(z + 2)*(3*z - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a kilometer in meters?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 4*r + 4*r + 3)*(-r**3 - 2*r**3 + 7*r**3).\nAnswer: -12*r**5 + 12*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6*q*u**2*y - 38*q*u + 2*q*y**3 + 6*q*y**2 + 752*q*y - 14659*u**2*y**3 + 2*y**2 - y + 20 wrt u?\nAnswer: 12*q*u*y - 38*q - 29318*u*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 17 + 15 + -39 + 7 + 3\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(18)\/sqrt(9)*-5 + (sqrt(1800) + -3)**2.\nAnswer: -170*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i. Let r(d) = -39710*d**2. What is r(g(k))?\nAnswer: -39710*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 1 = -2*w. Suppose m - 2*c - 10 = 0, 0*m = -4*m - 5*c + w. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(3 + sqrt(48)*-2))**2 + 3.\nAnswer: -48*sqrt(3) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 61331 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -2 + 3 + -1\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1.2, 4, 1\/4, -4627, -5?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**4 + 2*y**4 + 0*y**4 + (2*y**2 + 0*y + 0*y)*(-4 + 4 + 2*y**2) + 1 - 1 - 2*y**4 + 2*y**4 + 3*y**2 - 3*y**2 + 1 - 1 - y**4)*(-2*y + 2*y + 3*y).\nAnswer: 15*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-6)*s\/(s*s\/(s*s*s**(16\/7))*s)*s assuming s is positive.\nAnswer: s**(-19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d**(-2\/5))**(-7)*d**(-1)\/(d\/((d*d*d\/d**(-1\/2))\/d*d)*d)*(((d*d**(2\/9))\/d)\/(d**(4\/9)\/d))\/((d**4*d)\/d**(-4\/7)) assuming d is positive.\nAnswer: d**(-5351\/630)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22964\/5 + 4593. What is the third smallest value in h, 3, -0.25, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 t when two letters picked without replacement from {o: 3, y: 7, t: 3, f: 5, l: 1}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1900) + (sqrt(1900) - (sqrt(1900)*3 + 1)) + sqrt(1900) + 2 + 0)*1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98 and 10783213.\nAnswer: 150964982","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12913 is divided by 2074.\nAnswer: 469","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -7420251 (base 9) to base 11\nAnswer: -227147a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -3, 1, 17 in ascending order.\nAnswer: -3, 0, 1, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -2. Let z = -0.14 - -0.54. Sort d, z, -1\/6 in decreasing order.\nAnswer: d, z, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -163\/2820 and -9\/23500?\nAnswer: 70500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/150 + 43*w**5\/100 - 41*w**4\/20 + 121*w**3\/30 - 4*w**2 + 45*w + 3. What is r in v(r) = 0?\nAnswer: 1, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -330*a**3*p**2 + 3*a**2*p**2 + 46*a**2*p wrt a?\nAnswer: -1980*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 8) to base 9\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**2 - 31*t - 72. Determine f(33).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 98\/11, 5, 2\/3, -5, -1 in decreasing order.\nAnswer: 98\/11, 5, 2\/3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -92 divided by -8.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 51\/5 of a century in years?\nAnswer: 1020","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 + 3*k**2 + 3*k - 5. Let b(d) = d**3 + 1. Let p(h) = 4*h**3 + 4*h**2 + 4*h - 7. Let l(y) = 2*b(y) + p(y). Give 4*a(f) - 3*l(f).\nAnswer: 2*f**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 111 = 26. Calculate the remainder when 31 is divided by j.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = 3*h + 6, 5*l - 4*h - 10 = h. Let u(k) be the third derivative of -k**5\/60 + k**3\/2 + 2*k**2 + 71*k - 3. What is u(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2\/137 - -397\/959. Put -4, -2\/5, -2, a in decreasing order.\nAnswer: a, -2\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(28\/38) - 2\/(-4). Let o be (-180902)\/(-36) + p\/(-45). Let v = o + -5042. What is the common denominator of -91\/4 and v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 3*q + 11. Calculate i(9).\nAnswer: 119","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*c - 225 = -12*c. What are the prime factors of c?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 4 (b) 0 (c) 3 (d) -2\/13 (e) 0.5 (f) -2\/1303\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 326*x**3 + 3*x**2 + 11*x - 54. What are the prime factors of w(3)?\nAnswer: 2, 3, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 12690 and 27918.\nAnswer: 139590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -j**2 - 1 + 3 + 0 + 3*j**2 to the form z + m*j**2 + k*j and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 306*k - 19786 = -2389 + 4635 for k.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -3826 or 2043?\nAnswer: 2043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 0.0809 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 7*k**2 - 2*k + 5. Let p be i(6). Let s = -21 + p. Find the third derivative of -44*m**3 + 44*m**3 + 4*m**2 - s*m**6 wrt m.\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n - 20 = -3*n, -5*c + 20 = -3*n. Solve -2*v = -a + c, -3*a - 5 - 2 = -v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-13 + (14 - -1))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h and 2 d when four letters picked without replacement from {d: 5, h: 2}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -246 - 652 = 197*n + 400*n - 148*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 484*d + 270492. What is l(-559)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 18902074759 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 157 = -27*f + 26*f. Let k = -86 - f. List the prime factors of k.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1.007 + -0.193. Let o = -1422.7924 + 1424. Let k = g + o. What is k rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 55 = 3*f, 3*d - 3*f = -0*f - 81. Let w = 101 - d. What are the prime factors of w?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1697324905 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d**2 - 2*d. Give i(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**3\/3 - 188*l**2 + 15080*l - 743600\/3.\nAnswer: 2*(l - 130)**2*(l - 22)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 4*o + h + 0 - 2 = 3*o, 4*o = 74*h + 304 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 204\/(-48) + 4\/(-64)*-4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 + 16*r**2 + 15*r + 38. Let x be m(17). Find the first derivative of 20*o**x - 4*o**4 - 9*o**4 - 2 + 3*o**3 + 20*o**4 wrt o.\nAnswer: 108*o**3 + 9*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1\/555 - -379\/4995. Let r(i) be the third derivative of -7\/108*i**4 + 0 - 15*i**2 + j*i**3 + 1\/30*i**5 + 0*i + 1\/945*i**7 - 1\/108*i**6. Factor r(w).\nAnswer: 2*(w - 2)*(w - 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -480156 - -480185. What is the remainder when 4*2\/((-8)\/(-59)) is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + m**3 - m)*(13*m**2 + 7*m**2 - 3*m**2).\nAnswer: 17*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1. Let m(t) = t + 6. Let u(z) = m(z) - 6*r(z). Calculate u(6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -65, -117, -167, -215?\n\"Answer: r**2 - 55*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a + 2*q + 2*q = -7324, -2*q + 3682 = 3*a. What is the greatest common divisor of a and 2016?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -807 + 3383 = 23*o. Suppose 39*i - 1326 = 936. What is the remainder when o is divided by i?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 13\/2 + 12\/(-8). Let x = f - -3. What is the derivative of -8*o - 2 + x*o + 2*o**3 wrt o?\nAnswer: 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -3*o + p, -3*p + 15 = 11*o - 8*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 691949+1279.6\nAnswer: 693228.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eeeu when four letters picked without replacement from {e: 3, r: 1, u: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2096 and -0.5?\nAnswer: 2095.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-3))\/((98\/(-105))\/(-7))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.08, -22, -4, 1\/2 in decreasing order.\nAnswer: 1\/2, -0.08, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -6\/7 - 2\/7*l**2 - 8\/7*l = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4 + 3. Let k = 159 - 162. Which is smaller: c or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -880.23 rounded to the nearest 10?\nAnswer: -880","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 - 48bb?\nAnswer: -48ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 101 = -51 - 33 for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3*f + f + f)*(-2*f + 3*f + 0*f) - f**2 - 4*f**2 + 4*f**2)*(-8*f + 5*f + 5*f)*(-4 + 2 + 0)*(-47 + 3 - 29) as a + u*f**2 + z*f + h*f**3 and give h.\nAnswer: -584","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*m - 4 = 19*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n + 8. Let i be w(6). Let m(p) = 2*p**3 - 7*p**2 - 16*p + 26. Let l be m(5). Calculate the greatest common factor of i and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-40)\/(-5))\/((-14)\/(-28))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1596 = 1278700*m - 1278757*m for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1075753 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 22898?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -3 - 130*v + 3 + 134*v. Let n(l) = 2*l - l + 3 - l + 2*l. Let h(m) = 2*m + 4. Let f(a) = -3*h(a) + 4*n(a). Determine f(d(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87023, -174031, -261039, -348047?\nAnswer: -435055","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -0.19 (c) 1 (d) 3\/5 (e) -58\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, 1\/9, 27, 4?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*i + 888 = 330 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -111002010200 (base 3) to base 12\nAnswer: -104b90","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/(-2*sqrt(7)))\/(sqrt(96)\/(sqrt(24)\/sqrt(3))).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -46*w + 29*w - 51*w + (0 - 1 + 2)*(-w - w + 3*w).\nAnswer: -67*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-11)\/(-33))\/(3\/2547)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 4*m - 10. Let c = 106 - m. Let l = 46 - 15. What is the remainder when c is divided by l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.015 + 0.375. Let w = p - 0.16. Sort 2, w, -0.3, 9 in increasing order.\nAnswer: -0.3, w, 2, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s**5\/8 + 3*s**4\/8 + 15*s**3\/8 - 3*s**2\/8 - 3*s - 3\/2 = 0 for s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 - b?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 5*o**2 - 3*o - 6. Let z be x(-5). Suppose -3 + 23 = 4*d. Solve -d*s - z = 11 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -7\/8 and -65\/1204?\nAnswer: 2408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 297.7 + 333.9. Round c to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 + 28*t**2 + 56*t - 803. Give y(29).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 87 = -l. Calculate the remainder when l is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/19)*(c*(c\/((c*c**(-1\/5)\/c)\/c))\/c*c)\/c)\/((c*c**(-6\/13))\/(c*((c*c\/c**(-1\/2))\/c)\/c*c*c)) assuming c is positive.\nAnswer: c**(12489\/2470)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -58*d - 5. Calculate the remainder when g(-18) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80*r**4 - 361640*r**3 + 408427085*r**2 + 613251030*r + 230045445.\nAnswer: 5*(r - 2261)**2*(4*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 12*m + 18. Let l(j) = j**3 + 7*j**2 - 9*j - 2. Let c be l(-8). Let w be n(c). Suppose -5126 = -w*t - 1382. Does 13 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3744?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.78553*-0.0459\nAnswer: -0.036055827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(-5*m**3 + 4*m**3 + 2*m**3) + 0*m**2 - 212*m**4 + 195*m**4 + 6*m**2.\nAnswer: -18*m**4 + 6*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 43672560 and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*p - 24, 5*t - p = 6*t - 14. Let u be 90*(2 - t\/6). What is the greatest common factor of 5 and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yvlllellyvlevlll. Give prob of picking 2 v, 1 e, and 1 l.\nAnswer: 27\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 126*m**2*n*q*s + 2*m**2*s + 14681*n + 303737*q*s + 784 with respect to q.\nAnswer: 126*m**2*n*s + 303737*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 divided by -10582?\nAnswer: -235\/10582","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 - 10. Suppose 5*r - 18 = -k*r. Suppose 90 = 2*p - 3*q, 8 + r = -5*q. List the prime factors of p.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 659 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1010?\nAnswer: 2, 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -2. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1406 and 296?\nAnswer: 5624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1756, 1755, 1754, 1753, 1752, 1751?\nAnswer: 1750","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26029\/22 - 1183. Which is the second smallest value? (a) l (b) 0.1 (c) 3 (d) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 2, l: 7, c: 3}. Give prob of picking 2 l and 2 a.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2227226 divided by -11?\nAnswer: 2227226\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 - 14 = f. Suppose 0 = 5*i + 2*h - f + 6, 0 = 2*i + 3*h - 17. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 48 - -294. Suppose -q = -3*l - h, l + 34 = -3*h + 148. Suppose -2*c + l = -52. Is 18 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 975, -0.1, -828, 0.4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -46*h + 50*h + 12 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*3*(sqrt(1053) + sqrt(1053)*-1 + sqrt(1053))*5*-3)**2.\nAnswer: 2132325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -3*z**2 - 26*z - 10. Let b(u) = -u**2 - 9*u - 3. Let f(j) = -8*b(j) + 3*q(j). Let a(n) = n - 4. Let v be a(-3). Let l = v + 3. What is f(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 8:10 AM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 - 17*z**2 + z + 20. Let f be k(-17). Suppose -2*b - 30 = b + 4*y, 0 = -b + y - f. Let d be 3\/(-6) - 1\/b*-15. Sort 1, d, 4 in increasing order.\nAnswer: d, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j - 0*j + 6. Suppose -m = -j*m - 50. What is the units digit of (8\/m)\/(2\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, h: 3, o: 4}. Give prob of picking 1 a and 2 h.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 8*x - 15. Let m(j) = 2*j - 5. Let o(n) = -5*n - 1. Let i be o(-1). Calculate the remainder when x is divided by m(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 139, 319, 613, 1075, 1759, 2719, 4009?\nAnswer: 5683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.02 + 0.08. Let g be ((-18)\/(-21))\/((-3839)\/(-4886)). Which is the closest to g? (a) -0.3 (b) z (c) -2\/11 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 - 0.32. Let r = -145 + 143. Let f = 2.4 - 2. Sort f, r, w in ascending order.\nAnswer: r, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-656)\/(-160))\/41*8\/10?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -3*u + 63, -4*b - u = -2*b - 38. Let r = 16 - 3. Suppose -19 = -4*w + a, 4*a - r - 7 = 0. Calculate the remainder when b is divided by w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 47600.\nAnswer: 142800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 + 6.2. Let t = 61.4 + i. Let y = t - 68.054. Round y to 2 dps.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09482 + -17925.35?\nAnswer: -17925.44482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 0.1, -2\/11, 2\/621?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (-6 - -29) - (5 - -2 - 3).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15868 or -15867?\nAnswer: -15867","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 3*c + 41. Let t(z) = -3*z - 44. What is 6*q(b) + 7*t(b)?\nAnswer: -3*b - 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 71299768 by -17.\nAnswer: -4194104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5527346, 5527344, 5527342, 5527340, 5527338?\nAnswer: 5527336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w - 303 = 2*w + 70 - 113 for w.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*o - 834401424 + 834401424.\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10100000 + 110101100?\nAnswer: 100001100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 37 + -35. Solve -p*u = 2*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2505.468 + 2465. Let m = 70.2 - 110.2. Let l = m - h. What is l rounded to 1 decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6300000 rounded to the nearest 1000000?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (1209\/5)\/3 + 0 + 1434\/3585 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 364*b**3*n**4 - 2*b**3*n**2 - 31611526*b**2*n**2 + 141498*b*n**4 wrt n.\nAnswer: 8736*b**3*n + 3395952*b*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 12033090 and 33692652?\nAnswer: 168463260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3\/(-6)*-4 - (-244)\/1. Suppose 206 = 4*l - b. Suppose 4*i - l = -2*t + 321, 3*t + 3 = 0. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 50 = 124. Suppose -2*q + 40 = -3*d - 2*d, g = 3*q - 4*d. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -132 + 0.07.\nAnswer: -131.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 12*a**2 + 1503*a - 9014. What is the least common multiple of y(6) and 44?\nAnswer: 4796","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b**(-4)\/b)\/b)\/b)\/b**2*(b**(-1\/4)\/b)**15)\/(b*b**0\/b*b\/(b\/(b*b**(-5)))*(b*b**(-6))\/(b\/(b**(-6)*b))) assuming b is positive.\nAnswer: b**(-51\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 4 + 8 = q, 4*q = -5*f + 20. Suppose -11*y + 10*y = 0. What is the closest to y in 0.3, q, 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23503775?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the third derivative of 53*d**7\/210 - 7*d**5\/12 - 39*d**2. What is the third derivative of k(o) wrt o?\nAnswer: 1272*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.03 + 0.05. Let s = 0.18 - k. Let b = -0.3 + s. Round b to one dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -145 + 147. Suppose -12*o = -2*l - 8*o + s, -5*o = -20. Solve f + l*f = -20 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 492.525 millennia to months.\nAnswer: 5910300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -12, -1.01, 11, 2.\nAnswer: -12, -1.01, 0.02, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 5.09 and 2112.\nAnswer: 10750.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 135200403 + 11?\nAnswer: 135200414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 4 + 1346469311\nAnswer: 1346469315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -554 - -125280?\nAnswer: 124726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.7 + 0.7. Let l = t + -3. Sort 1\/6, l, 3 in increasing order.\nAnswer: l, 1\/6, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 2, 0.3, 4, 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -180886.732.\nAnswer: 723546.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w - 6, 27 = 5*m - 4*w - 5 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in 0.07, 3, -4, -12, -1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + f**3 + f**2 + 24*f**4 - 20*f**4 + 2 to k*f**3 + b*f + g*f**4 + j + n*f**2 and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 + 2*v + 1 - 4 + (9*v - 3*v + v)*(0 - 2 + 1).\nAnswer: -5*v - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jh when two letters picked without replacement from {h: 3, j: 5, b: 8}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 97*h - 95*h + 164, 0 = -3*f + 4*h + 108. What is the smallest common multiple of f and 156?\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 1119*k - 977*k - 1136. Put 3, k, -5, -10 in descending order.\nAnswer: k, 3, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -12*b**4 + b**3 - 12*b**2 - 2720.\nAnswer: -48*b**3 + 3*b**2 - 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -5*m + 5, 3*m - 2*d - 31 + 9 = 0. Differentiate -1 + 3 + 1 - 4 - m*g**4 wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21\/(3\/4*((-259)\/(-21) - 12)).\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/(-35))\/(-8 - (6 - (-243)\/(-18))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6 - 4. Let j(i) = i + 7. Let s be j(-3). Suppose 2*d + d + 4*p = -s, -d - 1 = p. Solve 0 = -n + w*u, d = -3*n + 3*u + 2*u - 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3637500 to the nearest one hundred thousand.\nAnswer: -3600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -27006992.5 to the nearest ten thousand.\nAnswer: -27010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 14*t**2 - 2. Let j(s) = -3*s. What is j(r(w))?\nAnswer: -42*w**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1665*b - 15913 - 10727 = 0 for b.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 297 divided by 423?\nAnswer: 33\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 3*k - 7. Let d = -1438 - -1440. What is b(d)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -7. Let y be ((-39)\/6 + 7)*3. Sort -0.5, -30, y, q.\nAnswer: -30, -0.5, y, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6761\/2 + -3143. Is x bigger than 237?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 14\/(-91) + (-119)\/(-13). Suppose 2*s = -b + u, -25 = -5*b + s + 9. Let n = 12 - b. What are the prime factors of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -1625, -1659, -1693, -1727?\n\"Answer: -34*i - 1591","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -4 - (3 - -3 - 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 16.47648 millennia?\nAnswer: 197717.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -32*h**3 + 5*h**2 - 2 - 5*h**2 - h + 35*h**3. Let r(u) = 3*u**3 - 3. Let i(g) = -6*p(g) + 4*r(g). What is the second derivative of i(n) wrt n?\nAnswer: -36*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1230 - 40130040?\nAnswer: -40123310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 847*x**3 - 4*x**2 + 4*x + 1. Let p be v(2). Suppose -n + 3*u = 2705 - p, 5*n + 3*u = 20410. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -v**3\/4 - 358445*v**2\/4 + 2150778*v - 12904884 = 0. What is v?\nAnswer: -358469, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 107.19 + -106.19. Sort o, 2, -0.02, -1.5, 4.\nAnswer: -1.5, -0.02, o, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 9*r + 5. Let b(z) = 4*z**2 + z - 5. Let f(h) = h**2 + h - 1. Calculate r*b(i) + 3*f(i).\nAnswer: -i**2 + 2*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q*q**(2\/7))**(-47)*q**(-1\/7)\/q*q**(-6)\/q*q*((q*q**(-1))**(-40))**(-10) assuming q is positive.\nAnswer: q**(-802\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -395, -390, -381, -368, -351, -330, -305?\n\"Answer: 2*c**2 - c - 396","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -625 = -6*k + k. Let d = k - 71. What is the greatest common divisor of 36 and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5558 and 1526.\nAnswer: 605822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -56734 - 1925*a + 56734 as q + o*a and give o.\nAnswer: -1925","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 53.45 and 0.141.\nAnswer: 53.591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -9\/22 (b) 0.1 (c) -0.9 (d) 0.2 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 8:05 AM?\nAnswer: 7:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*p**2 - 3*p**2 - 2*p**3 + (0 + 4 - 5)*(-2*p**3 + p**3 + 3*p**3) + 0*p**3 - p**3 + 2*p**3 - 2*p + 4*p - 5*p - 3*p**3.\nAnswer: -6*p**3 - 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -260*i + 266*i. Solve -6*c + 3 = m - 4*c, m + c = i for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -221*p**2 - 113*p**2 + 22 + 51*p**2.\nAnswer: -283*p**2 + 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -271*q**3 - 7 - 17 + 24 + 64*q - 64*q.\nAnswer: -271*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -198, -4.9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*r - 9, -3*r + i = 369 - 377. Let o(f) = -f + 5. Let v be o(7). Which is the third biggest value? (a) 1 (b) v (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93 + 48*w - 30*w - 13 - 21*w in the form r + c*w and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 40231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7\/11 + 32\/33. Let u be 3 - (1 - -12*4\/28). Let f = -4 - -3. Which is the nearest to f? (a) u (b) -4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.641 - 0.5379. Let y = 234.149 + -234. Let b = y - o. Round b to two dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -4608*j**2 - 32*j - 1829. Let k(p) = -1536*p**2 - 12*p - 610. Let l(m) = 8*k(m) - 3*w(m). What is the derivative of l(o) wrt o?\nAnswer: 3072*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 + 8 - 26 + 47*a.\nAnswer: 47*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 77 + 25*f + 87 - 188 + 4*f as x*f + z and give x.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 - 2. Suppose 4*p + 3*t + 1 = q, -3*t + 0 = -3. Suppose b + 4 = 1. Sort b, p, -5 in decreasing order.\nAnswer: p, b, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9*14\/(-1197)*1\/(-4).\nAnswer: -1\/38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -5) + -20 + 18 + 2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -3*q**2 - 3*q + 1. Let m be z(1). What is the units digit of (12 - 2)\/(m\/(-30))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 11. Let h = -0.1 + -0.4. Which is the smallest value? (a) h (b) y (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/27*-3*3\/6.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -523, -493, -449, -391, -319?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 112*t + 1507. Let f(r) = 44*r + 753. Calculate 5*f(y) - 2*x(y).\nAnswer: -4*y + 751","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 2*t - 309. Suppose -2*z - 9 = -3, 0 = 5*h + 2*z - 9. Suppose -6*c = h*x - c - t, 3*x + c - 119 = 0. Is 37 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w = 2 + 4 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 2. Suppose 3*t + 1065 = h*t. Suppose -5*r - 5*y = -y - t, 4*r - 4*y - 156 = 0. Is r a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p - 6 = -x, -25*p - 5*x = -27*p + 38 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -4*v - 1. Let p = -3 - -2. Let a be m(p). Solve s - 3*f = -15, a = 5*s - 3*f + 18 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 416978 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 129. Let i(c) = c**3 + 14*c**2 + 14*c + 18. Let x be i(j). What is the fourth smallest value in -1, x, 0.4, 1\/5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 845*l**2 + 124508020*l + 4586463622580 = 0 for l.\nAnswer: -957754\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g - 2. Let z = 20 - 12. Suppose 0*c - 3*c = 2*i - z, -6 = 3*i. Calculate the least common multiple of p(c) and 16.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 90319 or 86364?\nAnswer: 86364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -27 from 0.062263.\nAnswer: 27.062263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(245) - (-1 + sqrt(245)))*1*-3)**2.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1290, 2584, 3878, 5172?\nAnswer: 6466","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*r**2 + 19632*r - 39248.\nAnswer: -4*(r - 4906)*(r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 5\/6 (c) -19 (d) 0.5 (e) -3 (f) -0.0586 (g) 250\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49891 + 90678. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -731 + 739. Suppose -3*w - m*r + 36 = -7*r, w - 12 = 4*r. Solve w*u = 18*u + 12 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence asxs when four letters picked without replacement from {s: 4, z: 11, a: 2, x: 2}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1053) + sqrt(1053) + -1)**2 + 2 + 5*(sqrt(13) + sqrt(78)\/sqrt(6)).\nAnswer: -8424 + 82*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 3*o**2 - 3*o + 2. Let z be i(2). Solve 3*j + 5*h = 51 - z, -2*h + 18 = 2*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the second derivative of 31*q**4\/12 - 5*q**3\/6 - 2*q**2 - 13*q. List the prime factors of i(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 + 11 = 6*l. Let c be 24\/32 + (-6)\/l. Does 7 divide 41 - (c + 2 + -4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g - 1. Let l be r(2). Let v = l - -1. Let h = -0.5 - -0.3. Which is smaller: v or h?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f = -8*f - f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 3*(-2*sqrt(272)*3)**2 - (6*(sqrt(170) + (sqrt(170) - (-3*sqrt(170) + sqrt(170))) + sqrt(170) + sqrt(170)) - sqrt(170))\/(sqrt(30)\/sqrt(12)).\nAnswer: -70*sqrt(17) + 29373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2338*r - 4*u - 349106008 = -2336*r, -4*r = 5*u + 698212010. What is r rounded to the nearest 1000000?\nAnswer: -175000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 3*p = 207, s - 4*s = -4*p - 174. Let c = -57 + s. Sort -5, c, -4 in ascending order.\nAnswer: -5, -4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -110421775 times -1?\nAnswer: 110421775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -77 + 77. Let u(b) = -8*b + 33. Let i be u(y). Suppose 30*s - i*s = -15. Solve 3*g - 2*g - 7 = -x, 4*g - s*x = -8 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/33)\/(((-44)\/(-363))\/((-17)\/(306\/(-8))))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -17*f. What is w(-1)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) 0.3 (c) 0 (d) 2\/3 (e) 111\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 11*k**2 + 33*k + 391. What is the tens digit of n(35)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152578 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 9*y**2 + y. Let i be n(-1). Let a = 5 - i. Let j(h) = 2*h - 3 + 1694*h**3 + 1697*h**3 - h**2 - 3392*h**3. Calculate j(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 0*y + 30 = 0. Let p = y - -44\/3. What is the second smallest value in 1\/8, p, 4\/5?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -177*z**3 - 2 - 1590*z + 3970*z + 174*z**3.\nAnswer: -3*z**3 + 2380*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2846 + 3647. Is 89 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 920 = -3*b + 5*b. Let h = b + -324. Suppose -2*q + 2*k + h = 0, 5*k + 118 = 2*q - 6. What is the greatest common factor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**2 - 8*x - 5. Let n(i) = -i - 1. Determine a(b) - 6*n(b).\nAnswer: 2*b**2 - 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2416 and 320?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3102958.19 and -0.44.\nAnswer: -3102958.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxfffifefkfqff. What is prob of picking 1 f and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the second derivative of -g**6\/720 + g**5\/20 - g**4\/6 - 20*g. Let q(j) be the third derivative of d(j). Give q(9).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -4789, -4793, -4797?\n\"Answer: -4*k - 4785","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.2318 + 0.0318. Let d be 13\/26 + (-2)\/(24\/10). What is the closest to -1 in d, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00539571 rounded to 5 decimal places?\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/((-9)\/4) - 66\/(-1). Let l(r) = 125*r - p*r - 64*r. Let v(d) = 8*d - 1. Determine -6*l(s) - v(s).\nAnswer: -2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 53480628 smaller than 53480627?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/3*6*(-2)\/8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o - 3. Let v be r(5). Suppose -2*a + 8 = y, -y = -3*y - 2*a + 16. Suppose y*d - 4*d - 16 = v*w, 0 = -3*d + 5*w + 19. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968609 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -124, 76, 612, 1490, 2716, 4296?\n\"Answer: s**3 + 162*s**2 - 293*s + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1, 18, 49, 92?\nAnswer: 147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (x + 0 + 0)*(0*x**2 + 3*x**2 + x**2) + 3 - 3 - x**3 as n*x**3 + l*x + a*x**2 + b and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 9:33 PM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 2*i - 7 = -5*n, -3*n = 4*i + 1. Let t(h) be the second derivative of 7*h**5\/20 + h**2\/2 - 2*h + 2502. Give t(n).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 8. What is the smallest common multiple of 4 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 220130 (base 4) in base 7?\nAnswer: 10355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -5*u**2 - 28*u - 16. Let g be l(-8). Suppose 6 - 164 = -q. Let s = q + g. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 82168 - 241?\nAnswer: 81827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10101101111 (base 2) to base 8\nAnswer: 2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 135*b - 139*b. Sort b, -52, 2\/7, -15 in descending order.\nAnswer: b, 2\/7, -15, -52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (3\/((-3)\/(-2)) + 2)*-2. Is -10*(-5)\/((-5)\/i) - -3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.4 and -45?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/(((-4)\/22)\/(222070\/(-23045)))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 - -1)*27\/18. Find the third derivative of -4*q**2 + 21*q**3 - 5*q**m + 2*q**2 + 19*q**2 wrt q.\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 298238 (base 10) to base 4.\nAnswer: 1020303332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 1 - j + 3*j)*(0 - 14*j + 0) to the form b*j + n + y*j**2 and give y.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*t = 5*y - 18*t - 33650, 0 = -3*t - 15. What are the prime factors of y?\nAnswer: 3, 5, 449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/12 and -5\/332.\nAnswer: 996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - 5. Let f(l) be the first derivative of l**3\/3 - l**2\/2 + l + 69. Let m(q) = -7*q**2 + 4*q - 4. Determine y*f(i) - m(i).\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 0.42122*-3\nAnswer: -1.26366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8999\/776 - -70\/97. Calculate the common denominator of h and 1\/(-6)*(-42660)\/1350.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + y + 1 = 0, -y - 3 = -h - 2. Solve 3*z + h*z = 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2433 greater than 162924\/67?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -728 + 7*l + 278 - 15*l - 419*l with respect to l.\nAnswer: -427","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-2)\/7)*16353\/(-4977).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 2*s**2 + 2*s**2)*(-4*s + 3*s + 3*s)*(-s + 6*s - 2*s + (-5 + 1 + 1)*(0 - s + 0) - 5*s + 0 + 0).\nAnswer: 4*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000089273 rounded to seven dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 247 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 3*p**3 + 31*p**2. Let r(x) = -2*x**3 - 3*x**2 + x - 2. Give -r(u) - s(u).\nAnswer: -u**3 - 28*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 27636 and 257184.\nAnswer: 12602016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the first derivative of 9*b**2 + 14333. Let q(h) be the first derivative of h**4\/6 + h + 1. Let m(d) be the first derivative of q(d). Give m(n(x)).\nAnswer: 648*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -263537608+2\nAnswer: -263537606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/5)\/(4\/(-26) + (-1638)\/2535). Which is the closest to 69? (a) 0.11 (b) h (c) -4\/3 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 divided by 83?\nAnswer: -24\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 - 6*c**2 - c - 83. Let h be b(0). Let f = 103 + h. List the prime factors of f.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 4*g. Suppose 114 = 2*n - g*n. List the prime factors of n.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/186 and -157\/2263356?\nAnswer: 70164036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from ywwgwwwwwwwwww?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 136306123 - 40?\nAnswer: 136306053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -734.39379 to the nearest integer.\nAnswer: -734","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 9\/16 (c) -0.03 (d) -4505.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 81\/22 and 41\/25068.\nAnswer: 275748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b + 5 = 6*b. Let y be (-36)\/(-10) + b + -3. Solve 2*m**3 + y*m**4 + 0 + 2\/5*m**2 + 0*m = 0.\nAnswer: -1, -1\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -f**2*o*z**2 + 926*f**2*o - 19*f*o*z**2 + 2*f*o + f*z + 16*f wrt f?\nAnswer: -2*o*z**2 + 1852*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -244273, 2\/5 in ascending order.\nAnswer: -244273, 2\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 67, 465, 1513, 3535, 6855, 11797, 18685, 27843?\nAnswer: 39595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -18*g**2 - 73*g + 31. Let u(p) = 9*p**2 + 37*p - 17. Let t(q) = 2*q + 25. Let w be t(-10). Let k(f) = w*u(f) + 3*c(f). Let k(o) = 0. What is o?\nAnswer: -4, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + 1 - (sqrt(112)\/sqrt(4))\/sqrt(4)) + ((-2 + sqrt(28))**2 - sqrt(112)*-1))*-2.\nAnswer: -66 - 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a**3\/7 + 114*a**2\/7 + 1634*a\/7 + 1518\/7 = 0. Calculate a.\nAnswer: -11, -1, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -675 = -122*q - 55 + 112. Let r(y) = y**3 - 3*y**2 - 16*y - 4. What is r(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -96*a - 1367. Give q(-14).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 + -28. Let j be (-66)\/4*(-10)\/(-15). Which is bigger: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 3804 = -126. Is 10 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9562073 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-248)\/(-56) + 6\/(-14). Suppose y*r - 7*r = -30. Calculate the lowest common multiple of ((-6)\/(-2))\/(6\/16) and r.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38729?\nAnswer: 38729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742*b - 813*b - 1506*b.\nAnswer: -3061*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1573) + sqrt(1573)*-1)*1 - (sqrt(13) - (sqrt(13) - ((2*sqrt(104) + sqrt(104))\/sqrt(8) + sqrt(13))))*-2)**2.\nAnswer: 832","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*o = -63*o - 163*o - 1890 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 336*k + 713. What are the prime factors of r(5)?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4.3 + 2.4. Let q = 0 - 2. Let l = k - q. Put -5, l, 2 in descending order.\nAnswer: 2, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12544 bigger than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -44.2 - -37.14. What is i rounded to the nearest integer?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ug when two letters picked without replacement from gpucw.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.94 - 1.13. Let p = -10.86 - -11. Let r = c + p. Round r to one decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i + i + 0*i. Let j(c) = -c**2 - 13*c - 10. Let d be j(-12). Let z(p) = 2*p - p - d*p. Give h(z(w)).\nAnswer: w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 1 - 120*b - 4 + 119*b + 3. Let g(m) = m**2 - 1049*m. Give g(q(l)).\nAnswer: l**2 + 1049*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -144 divided by 6?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*o - o - 2*r + 9432, 5*o - 4*r = 11777. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1929411309 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/(-16)*5*(-2)\/(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = l. Let y be 5\/33 - (-2)\/(-6). Let n = 49924 + -49923. Which is the smallest value? (a) n (b) l (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 3885*z**2 - 69*z + 11. Let i(l) = 3887*l**2 - 83*l + 13. Let x(d) = -4*i(d) + 5*w(d). What is the second derivative of x(b) wrt b?\nAnswer: 7754","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/28 + -13\/28. Suppose -x = -2*k - 4*x - 13, -5*x - 5 = -5*k. Are k and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -8.7 and -0.57576.\nAnswer: -9.27576","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3305307615803\/3284 - 1006488332. Let w = c + -4\/821. What is the common denominator of w and 7\/6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3a4684 (base 16) to base 6\nAnswer: -213505112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 15\/34 - -1\/17. Let l = 0.29 - -0.71. What is the third smallest value in 3, l, m?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*q**3\/3 + 12*q**2 + 90*q + 36 = 0. What is q?\nAnswer: -3, -3\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -0.582.\nAnswer: -1.746","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*u + 54*u = 23*u - 495 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = n + 2549, 10*f = 7*f - 4*n + 7612. Does 8 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 111418 and 8369458?\nAnswer: 6554","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000006409 to seven decimal places.\nAnswer: -0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 54\/(21\/14*8\/6). Suppose p*d = 25*d + 2. Solve 3*c - d = -10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + (12 + -4 - -7 - 15)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.96 + -0.04. What is the closest to 1\/3 in h, -0.3, -0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2753523433.\nAnswer: 79, 34854727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is e920fdb + -1?\nAnswer: e920fda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4434 and 626561889?\nAnswer: 2217","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -452681748.221 - -0.3\nAnswer: -452681747.921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 + z**2 + z - 1. Let b be g(1). Suppose -6 - 4 = b*o. Let y = o + 4. Solve 0 = u - 4, -2*h + 2*u - 22 = -y*u for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(-1\/3))\/q*q**(-11\/6)*q**(-7)\/(q\/q**(-2)) assuming q is positive.\nAnswer: q**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2331381534 + 0.2\nAnswer: 2331381534.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -0.06 (c) 0.4 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the third derivative of -f**7\/350 - f**6\/40 + 13*f**5\/100 - 7*f**4\/40 - 3*f**2 + 14*f. Find o, given that g(o) = 0.\nAnswer: -7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = t - 1560. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1617 (b) -1\/3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198 = -72*r - 82*r + 136*r for r.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wadawawwawwddwww. Give prob of picking 2 a.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -349*f**2 - 268*f - 275*f + 822*f - 279*f - 59*f**2.\nAnswer: -408*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -174 and -347.9?\nAnswer: 60534.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 11:27 AM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i + 17 = 3*c, -3*c - 589 - 589 = 5*i - 1167 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -6 - 2*5414\/(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 142361?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 9*p + 1. Let h be g(-9). Let v(c) = 1 - c**2 + c**2 + 19*c**3. Is v(h) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 * 228.047505\nAnswer: -1140.237525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (244\/427)\/((-3)\/(21\/(-2)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 4*x - 24. Let h(p) = -p - 1. Let r be h(-5). Suppose -w - r = -x. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w. Let g(q) = 2*q**2 + 8*q. Determine t(g(f)).\nAnswer: 2*f**2 + 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155925, 311651, 467377?\nAnswer: 623103","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -220\/13 (b) 4 (c) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*r + 288*r - 24 = -266 - 200 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2266, 2497 in ascending order.\nAnswer: 4, 2266, 2497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55885 = 11590*k - 681745 for k.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - -1. Let m(u) = u + 10. Suppose 3*f + 16 + 5 = 0. Let p be m(f). Calculate the greatest common divisor of y and p.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/12249 at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 831057?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 431 is divided by 234?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -16.9. Let t = j - 27.1. Let i = 5 + t. What is i rounded to 0 decimal places?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -320.634 - -321. What is w rounded to 2 dps?\nAnswer: 0.37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -513*p**3 + 4*p**2 + 4*p - 12. Let w(g) = -1025*g**3 + 7*g**2 + 7*g - 21. Calculate -7*m(t) + 4*w(t).\nAnswer: -509*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -9.158135 + -4\nAnswer: -13.158135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 4*p - 3. Let w(t) = 5*t - 4. Let q(h) = 4*c(h) - 3*w(h). Let z(s) = -6*s - 2. Let f be (-3)\/(-2) + 1\/(-2). Determine f*z(x) + 5*q(x).\nAnswer: -x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -p**5 + 25*p**4 + 541*p**3 - 7477*p**2 + 28728*p - 35280 = 0.\nAnswer: -21, 3, 4, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 840802059.\nAnswer: 3, 251, 124067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 47, 53, 69, 101, 155, 237?\n\"Answer: m**3 - m**2 + 2*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - 1. Suppose 0*d + d = -5*c + 23, 2*c - 2*d - 2 = 0. Suppose -5*b - l + 42 = 0, -5*l + 14 = 4*b - 7. Solve b*p - c*p - 5 = m for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3489\/7 + -499. Which is the nearest to 0.1? (a) 2 (b) -0.2 (c) u (d) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 405 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 + 1. Let y = f - -5. Suppose y + 8 = n. List the prime factors of n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 1:05 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, s: 3, a: 1, f: 4, g: 2, u: 1}. What is prob of sequence sg?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-5)\/((f**(-6\/5)\/f)\/f))\/((f\/(f\/f**(-1\/2)))\/f)**(-17))**(5\/8) assuming f is positive.\nAnswer: f**(-273\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23159\/185144 + -2\/23143. Which is the nearest to 3? (a) 0 (b) y (c) -2 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 117*g - 121*g = -2*p - 34, 7*p + 5*g = -24 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -990.7 to the nearest ten.\nAnswer: -990","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 - 1. Suppose 5*j = 4*j + 4*m, f*m = 3. Let y(k) = -5*k - 3*k + j*k + 3*k. Let b(n) = -2*n. Give b(y(h)).\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b = -4*b + 2. What is the second derivative of 2 - b + 4*j**2 - 3*j**2 - j wrt j?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(128) + 0 + -4)**2.\nAnswer: -128*sqrt(2) + 192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (360\/135)\/((-4)\/(-6)). Let v(j) = 3*j - 5 + h + 8. Determine v(-6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - n + 15 - 2, p + 5*n = -5. Suppose s - 5*s = -4*u - 496, -570 = -p*s - 5*u. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 divided by 3774?\nAnswer: 11\/3774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5159*z - 11715.\nAnswer: 5159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = -4*l - 2, 4*t - l + 7 = 7*t. Solve t*u = -2*u - 20 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829433 divided by -83?\nAnswer: -829433\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand g**2 + 2*g**2 - 2*g**2 + (-1 - 1 + 1)*(4*g**2 - 6*g**2 + 4*g**2) - 10*g + 7*g**2 + 10*g + 0*g**2 - 2*g**2 + g**2.\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -281 (b) -5 (c) -1 (d) -21 (e) 50\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2\/35*(-440)\/704\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 5 - (37 + -29 + -11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*l - 2*l + 5*l + 2*l as x + z*l and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1808 and -21\/35744.\nAnswer: 4039072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2728 divided by -3?\nAnswer: 2728\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - 6*s**2 - 13*s - 4. Determine b(-2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/64*(-4)\/(10\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 33*r + 510 = 0. Is -14 > r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*a - 44 + 148 - 792 = 0 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 + 1381366995379.\nAnswer: 1381366995380","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4*a + 1. Let k be n(1). Suppose k*b - 4 = 1. Let s = 68 + -202\/3. What is the nearest to -2\/7 in s, -3, b?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64772.\nAnswer: 2, 16193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange f**4 + f**3 + 2*f - 2*f**2 + 2*f - 3*f to the form g + u*f**2 + t*f**4 + k*f**3 + z*f and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 14912710 to the power of 1\/2, to the nearest integer?\nAnswer: 3862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a**2. Let n(l) = -21867*l. Calculate f(n(g)).\nAnswer: -956331378*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k - 19*f - 60 = 0, -88 = 5*k + 3*f - 56 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 67277?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 19622 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 16, 2, -40, -110, -208?\n\"Answer: -14*o**2 + 28*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225741?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 93467 and 638?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/3 - 477040*q\/3 - 28445895200\/3.\nAnswer: -2*(q + 119260)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 231986?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4 + 28*b**3 - 46*b**2 - 28*b + 48 = 0?\nAnswer: -1, 1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 10*w + 2081. What is q(-188)?\nAnswer: 201","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 19079*n**6 + 3*n**5*o - n**2*o - 2*n*o + 10075 wrt n.\nAnswer: 2289480*n**3 + 180*n**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39248)\/1295184*3*2.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -10\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 669721 * 0.5.\nAnswer: 334860.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 71.222*-4\nAnswer: -284.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 306, -20, 1 in descending order.\nAnswer: 306, 1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*d**2 - 5*d**2 + 0*d**2 + (2*d + d - d)*(-d - 1 + 1) - d**2 - 6*d**2 + 3*d**2 + d**2 - d**2 + 4*d**2.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*h + 2*h + h)*(-2 - 1 + 0)*(13 + 8 + 23 + (2 - 6 + 2)*(0 - 3 + 1)) to the form d + y*h and give y.\nAnswer: 288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/5, -7, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 2*i + 2\/15*i**2 + 28\/15 = 0?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/9 + (-40)\/(-12). Suppose 52 = k*u - 818. Let o = 496 - u. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3))\/h**(-2))**(-1\/42)*(h\/(h\/(h**(2\/7)*h))*h)**(-33)*(h*h\/(h*h**0*h))**(-2\/117) assuming h is positive.\nAnswer: h**(-9511\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4112 and 19169.\nAnswer: 78822928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5637276 and 126?\nAnswer: 39460932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -221232120?\nAnswer: -221232111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 2*w + 0*w)*(-32 - 41 - 107) in the form l*w + a and give l.\nAnswer: 360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x + 36 = 2*x + 102166*y - 102162*y, -5*y + 21 = -x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 10 = 0, 4*g + 6*c - 27 = 3*c. Let o(d) = -d - 11. Let l be o(-16). Suppose 4*p = -l*t + 2057, -820 = t - g*t - 3*p. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 5*x - 20. Suppose -280 = -3*h + 8*h. Let j = -38 - h. Solve x*z = -2 - j for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 7*t + 2. Let a be 12480\/936*(-6)\/(-16). Let u(c) = -6*c - 1. Give a*u(f) + 4*w(f).\nAnswer: -2*f + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -63482667*f - 14916954 with respect to f.\nAnswer: -63482667","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 53, 69?\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -28 + 23. Which is the closest to 1\/2? (a) 2 (b) m (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -8*o + 4*x + 8, 0 = 4*o + 4*x - 16. Suppose -o*g - 11*n - 10 = -7*n, 5*n = -4*g - 13. What is the fourth smallest value in -34, 3, g, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6044076 is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 59225707 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {c: 11, u: 3}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0 and -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*t + 4. Let h(a) = -46*a**3 - a**2 + a. Let p be h(t). Let g = p + 80. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-3)\/1)\/(4 + 245\/(-63)). Let n = z - -54. What is the remainder when 105 is divided by n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*c*m**3 - 83*c*m**2 + 3*c + 752*m**5 - 3*m**2 wrt m.\nAnswer: 12*c + 45120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8*(-4)\/360)\/(2\/5)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1.086563 - -0.0193\nAnswer: 1.105863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 199 = 29. Is r a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2064 is divided by 35.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/979?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.318137 rounded to one decimal place?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 + 10 - (-8 - -13).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 4*w**2 + w - 9. Suppose 0 = -7*h - 10 - 4. Let q be (-6)\/(-4 - h)*-1. What is the tens digit of x(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 275 + -275. Solve k = 4*p - 4*q - 4, q + q = p - 2 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -77\/15494 and 87\/112.\nAnswer: 867664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/((-6384)\/280)*(4\/(-2))\/(-1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that 6*h**3 + 357*h**2 + 2775*h + 2424 = 0.\nAnswer: -101\/2, -8, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38060 - 31146. Does 16 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -167 + 292. Suppose -4*a + d + 51 = 0. What is the greatest common factor of a and 66?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -68420\/3 + 22807. Sort 1, -0.1, -18, 3\/2, c in descending order.\nAnswer: 3\/2, 1, c, -0.1, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x - 95 = -4*g, 3781*g - 3786*g = -4*x - 111 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(12\/7)\/t*t\/t**(-7))**46 assuming t is positive.\nAnswer: t**(2806\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/2)\/(3\/6). Suppose -2*o - 2 = -m*o. Suppose -2*b + 27 + 16 = 5*k, 0 = -2*b - o. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1344)\/1206*((-5392)\/(-147))\/(-8). Let c = 2\/1407 + w. What is the common denominator of 40\/27 and c?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(360)\/((sqrt(162)\/sqrt(3))\/sqrt(6)))\/((sqrt(8) + sqrt(72)\/(sqrt(27)\/sqrt(3)))*-2).\nAnswer: -sqrt(5)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 451208 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7, -33, -101, -203, -345, -533?\nAnswer: -773","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8015*h**5 - 11*h**4 + 303377*h.\nAnswer: 160300*h**3 - 132*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00222 rounded to three decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.881 - -13.119. Which is the nearest to s? (a) 4 (b) 0.5 (c) -0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -289 and -1.744.\nAnswer: 504.016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 17047 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in u**2 + 954 - 1903 + 949.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3499.2 + -3498. Which is the third biggest value? (a) p (b) 4 (c) 0.9 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 1, -19*g = -17*g - 2*v - 6. Solve p - f + 6*f - 2 = 0, 2*f + g = 2*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.5 or 11.6?\nAnswer: 11.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 18 = -3*z. Let g = -1662 - -1664. Suppose -z*x = -g*x - 352. What is the highest common divisor of x and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s**3 + 10*s**3 + 0 + 0.\nAnswer: 9*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h. Let d be q(4). Suppose v + 3 = 4*w, d*v - 4*w - 26 = -2. Calculate the remainder when 17 is divided by v.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 248918269 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -108 - 9.8814871025.\nAnswer: -117.8814871025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 q when two letters picked without replacement from qbyhqorqhoyqqhyoo.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 3*l**5\/4 + l**4\/12 - 35*l**3\/6 - 3*l**2 + 7*l. What is the second derivative of r(m) wrt m?\nAnswer: 90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5137 is divided by 45.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 7, b: 1}. What is prob of picking 1 b and 3 m?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1800888 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6128 or -6126?\nAnswer: -6126","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 3391505.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-3)\/6)\/(2\/(-12)). Let j = -0.9 + 0.88. Let u = 0.22 + j. Sort b, u, 5 in decreasing order.\nAnswer: 5, b, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1315, -13, 2, 4, -1, -6 in increasing order.\nAnswer: -1315, -13, -6, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**3 + 11*c**2 - 4*c + 12. What is h(-5)?\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**3 + 157*r**2 + 1050*r + 142. What is x(-150)?\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/40 of a microgram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 8*z**2 + 1. Suppose 39 = -15*o + 28*o. What is the smallest common multiple of o and t(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 17*(-4)\/(-8)*2. Let p(v) = v**2 - 7*v - 20. Let y be p(-10). Suppose 56*l = 50*l + y. Solve -3*g + l - 2 = -5*w, g - 4*w - m = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31891560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2488215 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 308109108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*(w\/w**(-1\/4))\/w)\/w*w\/((w\/(w\/(w*w**(-1)*w)))\/w) assuming w is positive.\nAnswer: w**(9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1865 (base 10) to base 12\nAnswer: 10b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -489 + 404. Let r = -21 - 18. Let s = r - b. Calculate the remainder when s is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 6 = -6. Suppose 132 = 3*c + 3*f, 4*f - 22 - 34 = -c. Suppose 4*r + 3*k = -k + c, -y*r + 3*k = -5. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 16) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -165169, -165160, -165149, -165136, -165121?\n\"Answer: d**2 + 6*d - 165176","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -6*f**3 + 2*f**3 + 3*f**3 + (3 - 2 - 2)*(-f**3 + 5*f**3 - 2*f**3) + (1 - 1 - f**2)*(-3 + 2*f + 3) - 69*f**2 + 22*f**3 + 69*f**2 - 72*f + 14*f**3 + 72*f.\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 594 or -81?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7492 + -7490. Solve 4*l - 7 = 3*c, -g*c - 3 = -2*l + 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -4*g - 3. Suppose -5*k = w + 8, k + w = -2*k - 4. Let v be x(k). Suppose -3 = -v*u + 47. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -36\/4447 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 - 3612*l**4 - 194745*l**3 - 2164140*l**2 - 5448492*l + 7810992 = 0.\nAnswer: -1148, -42, -9, -6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.66 (b) 4\/5 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 2\/50611?\nAnswer: 2\/50611","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 6) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22.07 + 22. Let o = -0.07 - n. Let t = -1 + 2. What is the closest to o in t, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 4251628?\nAnswer: -4251627.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (17\/(-5) - 5) + (-8)\/(-28)*28\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the first derivative of h**4\/4 + 4*h**3 + 24*h**2 - 2*h - 11. Let d(l) be the first derivative of k(l). Determine z so that d(z) = 0.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3676308*-0.4\nAnswer: -1470523.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, 0.3, -1\/2, -3, 1, 8760?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 118 = 3*r - 26, 200 = -4*b + 2*r. Let i = -32 - b. Suppose -i*d - 16 = -18*d. Is d a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10099\/11 - -920. Suppose -237 = -r + 4*c, -3*r + 828 = -c + 106. Let y = 969\/4 - r. What is the common denominator of y and u?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50078.419 minus -0.0484?\nAnswer: -50078.3706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 96220, 192440, 288660, 384880, 481100?\n\"Answer: 96220*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -9*h + 1. Calculate r(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7765 and -1.\nAnswer: 7764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 - 40. Let u(k) = -k**3 + 8*k**2 - 7*k - 5. What is u(f)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 200 is divided by (-360)\/(-50)*20\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 9. Let x(u) = u**2 + 1. Let m(f) be the first derivative of 2*f**3 - 1\/2*f**2 + 5*f - 50. What is s*m(c) - 5*x(c)?\nAnswer: c**2 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*1*-5 - sqrt(147) - (3 + sqrt(147)*1))*-6)**2.\nAnswer: 10584*sqrt(3) + 259632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1.064 - -0.864. What is the nearest to -0.1 in -2\/19, d, -0.3, 12?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*k - 80 = 2*k. Suppose 2*y = 2*u - 4, -u - 3*u = -y - k. Let p be 3\/(-9)*43*-3. Sort p, -5, u in descending order.\nAnswer: p, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 112040 to the power of 1\/2, to the nearest integer?\nAnswer: 335","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 8009495399 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.9 + -1.9000045. What is t rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccbvjcl. What is prob of picking 1 v, 1 b, and 1 l?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 - 3. Suppose 5*u - 23 = 7. Solve -5*n + 5*f = 40, -z*n + 4*f - 28 + u = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 - 38*n**2 - 73*n - 34. Calculate l(-36).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (-6 + (13 - 15))) + 17?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 23. Let t be p(11). Let v be 129\/t + 6\/(-8). Solve -v = -3*x + 5*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, -8, -65, 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, h: 4, z: 6, t: 7}. What is prob of sequence zzb?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -33 - -50 - (8 + 6). Solve 2*g - o*v = -10, g + 5*v - 18 = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1*(-800)\/(-4). Suppose t = 4*y + y. Let l = 2 + y. 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: Express (222*j - 129*j - 130*j)*(-3 - 2 + 3)*(0 + 2 + 0) - 3*j + j - 1 + 4*j as g*j + p and give g.\nAnswer: 150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14 + 26. Suppose 5*l - w = 8. Suppose 5*a + 6 - l = 3*g, 14 = g + a. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + 0.13288?\nAnswer: 5.13288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -129*k + 20*k**2 - 18*k**2 + 78*k. Let u(w) = 14*w**2. Calculate t(u(m)).\nAnswer: 392*m**4 - 714*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kruaraarukkruk. What is prob of picking 3 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -393.48 - -371.571. Let t = m - -22. Round t to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 927\/8 - 116. Sort 4, 3\/5, y, -2\/9 in increasing order.\nAnswer: -2\/9, y, 3\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 48334368 and 8?\nAnswer: 48334368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 133056807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 20*b**2 + 17*b - 32. Let y be x(-19). Suppose -38 = -y*q - 236. Let k = 8 - q. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 - 31*z**2 - 58*z - 44. Determine n(-29).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 116315027177 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.44858 - -32.6043866?\nAnswer: 33.0529666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4056.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 3*l - 2*l)*(5*l**2 - 2*l**2 - 2*l**2) + 3 - 11*l + 3*l + 5*l - 2*l**3.\nAnswer: -4*l**3 - 3*l + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 3:32 PM?\nAnswer: 12:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/((-126)\/(-27)) + (-5)\/28. Let y(j) be the second derivative of -j + i*j**4 - 1\/6*j**3 + 0*j**2 + 0. Find the second derivative of y(h) wrt h.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 219553?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 133524 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13ab2228 - -5?\nAnswer: 13ab2230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28824683?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) 6 (c) 537968\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-45)\/6*(-20)\/6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1580977 a multiple of 376?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4*2 - -10. Let x(p) = -p**2 + 8*p + 11. Let i be x(l). Suppose 12936*f = 12681*f. Solve f = 3*n + 5 - i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2162 divided by -2?\nAnswer: -1081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 730, 1499, 2268?\nAnswer: 3037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -9*n**2 + 1280*n + 5. Let k(f) = 11*f**2 - 1279*f - 6. Give 5*k(d) + 6*v(d).\nAnswer: d**2 + 1285*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the second derivative of j**4\/21 - 7*j. Determine s so that x(s) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 1970892?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*o - 2*o - 2*o)*(5*o - 7*o - 9*o) in the form p*o + x*o**2 + i and give x.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(605)*-1 - (sqrt(240)\/sqrt(3) - -5*sqrt(5)*2))**2.\nAnswer: 50*sqrt(5) + 3126","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 74 + -44. Calculate the highest common divisor of h and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*1\/(-2)*6\/60?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 - j**3)*((-4 - 2 + 4)*(12 + 4*j - 12) - 4*j + 3*j + 2*j + 1 + (-j - 3*j - j)*(-1 + 0 + 2)) as q*j**2 + r*j**3 + s*j + y + d*j**4 and give d.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -5, 0, -6\/7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (539\/(-70))\/7.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3132519?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p - 13*p - 70 = 0. Suppose 0 = -g - 6*g + p. Let x(w) = -2*w. What is the least common multiple of x(-2) and g?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) 17 (b) -1\/8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((sqrt(66) - (sqrt(66) + sqrt(66)*1))*-5 - (sqrt(66)*1 - sqrt(66))*1))\/(sqrt(60)\/(sqrt(360)*-1)*1).\nAnswer: -30*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 927?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06 less than -31597.1318?\nAnswer: -31597.0718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 266529.1 centuries to months.\nAnswer: 319834920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 668 + -588. Calculate the highest common divisor of 40 and o.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13? (a) -1810 (b) 90\/23 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f. Let m(l) = 9*l - 2 - 2*l + 0. Let k(a) = -m(a) - 6*s(a). Give k(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, m: 1, r: 3}. Give prob of sequence mb.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 - y**2 - 2*y + 2. Let f be x(2). Let w = f + 0. Calculate the remainder when w is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*q + 15*n - 14*n - 20, 3*q = 2*q + 2*n + 2 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7 - -3 - 3) + -1 + -1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 27127 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*h + 96 = -21*h - 2*h for h.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -i - 14. Let v be j(-14). Suppose 3*z = -q + 28, v = -2*z + 5*q + 13. What is the units digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p - 1. Let j = 3 + -5. Let d(r) = -4*r**2 - 3*r - 3. Determine j*d(o) + 6*a(o).\nAnswer: 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 855 and 81?\nAnswer: 7695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/11, 7, 4, -2\/7, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = 20*d + 113, -5*d = 5*i + 11 - 51 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 0*q - 45. Let z(x) be the first derivative of -x**2 + 3*x + 8. What is the units digit of z(q)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 5*t - 134. Let n be v(25). Suppose 5*g = 120 - 25. Calculate the remainder when 74\/(((-1)\/2)\/(n\/18)) is divided by g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r**3 - 3*r**2 + 6*r**3 + 3*r**2.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -191 + 1184. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**2 + 4*t + 2. Is l(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 477 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 2 x, and 1 i when four letters picked without replacement from {h: 1, l: 2, x: 4, i: 3}?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*b**5 + 2*b**3 + 2*b**2 + 14*b?\nAnswer: 960*b**2 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9544205 and 275?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 8 = 2*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d**3\/5 + 404*d**2\/5 - 10602*d\/5 = 0. What is d?\nAnswer: 0, 31, 171","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 211 = b - 29, -a + 480 = 2*b. What is the greatest common divisor of 150 and b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-2\/21)\/(u**(7\/6)\/u) assuming u is positive.\nAnswer: u**(-11\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10.553729 times 5\nAnswer: 52.768645","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/43, 4\/7, 2.834014?\nAnswer: 2.834014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8*y - 7 + 7)*(y**3 - y**3 + 3*y**3) - 53*y**3 + 28*y**3 - 3*y**4 + 2 + 4*y**4 in the form b*y**4 + m*y + c*y**3 + w + t*y**2 and give c.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 1, e: 1, t: 1, y: 1, q: 2, f: 1}. Give prob of sequence que.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(833)*1 + sqrt(833) + 4 + -5*(sqrt(833) + 1 - sqrt(833))))**2.\nAnswer: -1008*sqrt(17) + 119988","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 507, 504, 499, 492?\n\"Answer: -b**2 + 508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.03 - 1.83. Let k = -1 - o. Let f be 16\/(-12)*3\/10. Is k at most f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, 425, -134, -5 in decreasing order.\nAnswer: 425, -2, -5, -8, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 157 minus -2.8685868209?\nAnswer: 159.8685868209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(68) + 3)**2.\nAnswer: 48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994\/10 - (68\/20 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 1:38 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -775.141*-77.4.\nAnswer: 59995.9134","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*d**2 + d - 3*d**3 + 10*d**2 + 6*d**3)*(-2*d + 4*d + 0*d).\nAnswer: 6*d**4 + 34*d**3 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5004 and 18348.\nAnswer: 55044","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r + 3*r - 4 + 3*r**2 + 0. Suppose 13 - 1 = -4*m. Is x(m) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 84*t - 62. Determine a(88).\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = -2*y - y + 8, -q = -2. Suppose 0 = -y*m + 5 + 35. Factor -2*v - 5*v - m + 4 - v**2.\nAnswer: -(v + 1)*(v + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**3 - 329*v**2 + 869221*v + 429503909 = 0. Calculate v.\nAnswer: -659, 989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 18827 and 133933.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-1\/9))**(-4\/11)*v\/(v\/((v*v\/(v*v**3))\/v*v))*v**(3\/8))**18 assuming v is positive.\nAnswer: v**(-1255\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 482849430?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -120 + 404. Suppose 4*t + s - h = 0, 0*t + 338 = 5*t - 3*s. Let c be (-20)\/(-2)*(-14)\/(-5). Calculate the greatest common factor of t and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) - (-3 + (sqrt(128) - sqrt(128)*3))) - (0 + sqrt(162)*-3))**2.\nAnswer: -66*sqrt(2) + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 16) to base 5\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**4\/12 + b**3 - 9*b**2\/2 + 4*b. Let h be q(7). Let n = h + 24. Does 6 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12\/(-3 - 0) + 13. Suppose -4*f - 3*g = 16, 4*f + s = -4*g - 11. Let c be 3*f\/9*2. What is the third smallest value in -2, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 1305*b**2 - 2*b + 8. Let z be g(-6). Round z to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/1403? (a) 1926 (b) 4 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15790657 to the nearest integer?\nAnswer: 3974","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q - 1. Determine l(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -70 by 57.\nAnswer: -70\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + -17 + 4 + 1 + (4 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*o**3*y*z**2 + 16658*o**3*z**2 + 4122*o**2*y**4 + 1 with respect to y.\nAnswer: -3*o**3*z**2 + 16488*o**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59 is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*s + u - 1 = 105*s, -s = 5*u - 5 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**23*f*f*f\/f**5*f)**(-16\/3))**(27\/2) assuming f is positive.\nAnswer: f**(-1584)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of -1\/30*s**6 + 0*s - 1\/2*s**3 + 0*s**5 + 0*s**4 + 5*s**2 + 0. Find the first derivative of v(x) wrt x.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 315*h - 1114*h - 1249*h - 1533 + 223*h wrt h.\nAnswer: -1825","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -86479\/2 or -43239?\nAnswer: -86479\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -10481, 5, 6, -5 in ascending order.\nAnswer: -10481, -5, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**4\/12 - 11*c**3\/6 + 6*c**2. What are the prime factors of g(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 20 (b) -0.4 (c) -2 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -5*v + 24, 3*b - 15 = -2*v - 2*b. Let a = -5968.1 + 5968. Sort a, 11, 1\/2, v.\nAnswer: a, 1\/2, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*z + 225 = 30*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 21*h - 1354. Calculate the remainder when 282 is divided by g(68).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 14937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6.4 - -6. Let i = -0.46 - d. Let n = i + 0.36. Put -3, n, 5 in descending order.\nAnswer: 5, n, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44*w - 9*w + 105 = 0 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 13*s - 120 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4582 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 299 or 0.1?\nAnswer: 299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 137046670?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, d: 9}. What is prob of sequence dtt?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13896*r**2 + 275*r - 39 wrt r.\nAnswer: -27792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -127\/528 and 19\/810216?\nAnswer: 1620432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 15) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**2 - y + 3. Let a be b(-3). Let r = 8 + a. Solve 0 = -2*w - 5*k + 3, -2*k - 5 = r*w - 2 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 205859?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -389*n - 21898 = -99*n - 18998 for n.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 3*p - 6. What is f(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000121851 rounded to 5 dps?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**2 - y - 1. Let g(p) = 8*p**2 - 4*p - 4. Let w = -29374 + 29373. Determine w*g(a) + 6*q(a).\nAnswer: -2*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 386641 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of -c**6\/30 + 18*c**5\/5 - 65*c**4\/2 - 500*c**3\/3 - 4477*c**2. Factor f(j).\nAnswer: -4*(j - 50)*(j - 5)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a - 5. Let v be y(18). Suppose -11*n - v = -68. Put 6\/5, 2\/9, n in increasing order.\nAnswer: 2\/9, 6\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 - ((1 - 7) + (-6 + -7 - -14))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, -1 in descending order.\nAnswer: 5, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/2 and 89\/1904?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -7157 divided by -211?\nAnswer: 7157\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + -44 + (204 - 137) + -62\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 32347942?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -59*j**2 - 55*j**2 + 6*j + 115*j**2. Suppose 2 = -c - 2*n, 5*c - 3*n + 36 = -0*c. Calculate p(c).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 594213 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 13*d**2 - 3)*(3 - 7 + 2)*(-5 - 1 + 4)*(-2466*d**2 + 1460*d**2 + 1190*d**2).\nAnswer: -9568*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 2*d**2 - 1299*d + 184109. Calculate s(209).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(44)\/sqrt(4)) + ((1*sqrt(98) - sqrt(98)) + sqrt(98))**2 + 0.\nAnswer: sqrt(2) + 98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(128) + 0) - (4 + 5*sqrt(2)*2)) + 4*(1*(0 + sqrt(4)\/sqrt(2)))**2*-1.\nAnswer: -34*sqrt(2) - 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*c - 8*c - 40. Let i be 4*1\/2 - -6. Suppose -3*s + i = s. Calculate the least common multiple of c and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 58 - 55. Suppose j*w + 4 = 5*o, 5*o + 18 = 9*o + 5*w. Solve 2*u - 2*y - o = 0, -u - 7 = u - 5*y for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005928 rounded to three dps?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 95 - 40507370.\nAnswer: -40507275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the second derivative of -319*u**4\/2 + 713*u**2 + 352*u. Differentiate l(p) wrt p.\nAnswer: -3828*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (20 + 15)*(-9)\/(-15)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 10675011?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35.95 - -35. Let j = -0.7 - t. Let a = 0.155 - j. What is a rounded to 2 decimal places?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4505 - -31536\/7. What is the fifth smallest value in 3.3, -0.2, a, -2\/3, -4?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3807100 divided by 4.\nAnswer: 951775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c - 246 = -4*h + 13*c, 917 = 14*h + c. Solve 72*f - h*f - 56 = 0 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62638 to the power of 1\/3, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/1711190 and 79\/1626.\nAnswer: 1391197470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 996\nAnswer: -3984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, h: 5}. What is prob of sequence hh?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, d: 3, k: 3, v: 2, t: 2, e: 1}. Give prob of sequence dt.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -38.027 - -0.027. Let z = -22 - k. Let a = 15.9985 - z. Round a to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 75\/8 and -37\/876.\nAnswer: 1752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 7, 2 in descending order.\nAnswer: 7, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + b = 0. Let n(y) = -5*y + 3. Let c be n(-7). Suppose b = d + 2, 8*d - 3*d + c = 2*m. Calculate the remainder when m is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 224*k - 211*k + 130 = 0 for k.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 51 - 47. Let r(d) = d**3 - 2*d**2 - 2*d + 3. Let a be r(3). Solve 2*v + n = -a for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1334 and 754.\nAnswer: 17342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 - 2 + 4)*(-6*m + 18*m + 1427924 + 8*m - 1428409 + m) to the form l*m + u and give l.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120769.\nAnswer: 11, 10979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 - (3 - 147\/9)*-3. Let x = 42 + c. Solve 4*f + 6 - 18 = x for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1810*h**6 + 9895*h**2.\nAnswer: -217200*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*k + 7*k + 3*k + 22*k as x*k + c and give x.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5500 - -55?\nAnswer: 5555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1515, -12134, -40957, -97086, -189623?\n\"Answer: -1517*y**3 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.167 + -0.367. Which is the closest to f? (a) -3\/4 (b) -13 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -104, -133, -162, -191, -220, -249?\n\"Answer: -29*z - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-seven halves of a millennium in years?\nAnswer: 43500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60 = 5*w + h, 0 - 2 = w + 3*h. What is the greatest common divisor of w and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1315 + -2325. Let w be 4916*s*(-5)\/10. Suppose -11*m - 414580 + w = 0. Round m to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10061429 to the nearest integer?\nAnswer: 3172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -21 - -23. What is the biggest value in v, -5\/4, 4\/3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 39*h - 59. Determine v(38).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 2*j**3 + j**2 - j + 1. Let w be h(1). Suppose 0 = -w*n + 2*n + x + 7, -6 = -2*x. What is the units digit of (-3)\/(-5) + 4\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 41 - -2?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c43 (base 13) to base 8.\nAnswer: -4043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -46\/7*a**2 + 4*a + 8\/7*a**3 + 10\/7.\nAnswer: 2*(a - 5)*(a - 1)*(4*a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1930\/(-1158)*1*(-2)\/2\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 19 and 133.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 25*p**2 - 16*p**2 - 16*p**2 + (-p - 2*p + 4*p)*(2*p - p + 0*p) - 4*p**2 - 3*p + 3*p + 1 - 1 + 2*p**2.\nAnswer: -8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 11*d - 12. Let k(a) = 23*a - 30. Let v(g) = 5*h(g) - 2*k(g). Suppose 0 = 3*p + w - 7, -5*p + 2*w = -0 + 3. Let q = p - 0. Determine v(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 2*j + 6. Let x be m(-8). Let b = 11 + x. Suppose u = b, -5*v - 5*u + 155 + 90 = 0. Is v a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 183 = -o, 2*g = o + 2*o + 391. Let f = g + -180. Calculate the least common multiple of 124 and f.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(44) + (sqrt(1584) - sqrt(44) - sqrt(44)))*4*-5)\/(((sqrt(120)\/sqrt(2))\/sqrt(5))\/((sqrt(90)\/sqrt(3))\/sqrt(10))).\nAnswer: -100*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 + 2*v**4 + 3*v**2 + v**4 - 3*v**2 + (2*v**3 - 3*v**3 + 3*v**3)*(-2*v - v + 4*v) - 4*v**4 + 9*v**4 + 2*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0977 and -115514.\nAnswer: 11285.7178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*a = -142675, 2*y = 3*a + 39669 + 31682. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 3 (b) 6 (c) 0.1 (d) -4 (e) -33.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 + 7 - -4) + 1 + -10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0 + 6*p + 0. Let i(a) = 9*a**2 - 5*a - 5. Let y(j) = -5*j**2 + 3*j + 3. Let z(r) = -3*i(r) - 5*y(r). What is s(z(d))?\nAnswer: -12*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 27203195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**2)**(-2\/41) assuming q is positive.\nAnswer: q**(-4\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 42 * 4250059.\nAnswer: 178502478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 4*c = 0, 2*c + 10 = -0. Let h = -2 - m. Let j = 7 - h. Solve -8 = -3*t + 5*n + 1, -j*t + 15 = n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3850)\/(-10080)*54 + (-42)\/2\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3272 is divided by 407.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 20*l**3 - 3*l**2 - 13*l + 38. What is m(3)?\nAnswer: 512","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of ((-3836)\/4 + -6)*(-1 - 5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10981 - 10886. Sort 1, a, -4 in descending order.\nAnswer: a, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -27*h**3 - h**2 - h. Determine q(-1).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 120 - 326. Let x = -4400 + 4389. Let j = d - x. List the prime factors of j.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 931 a factor of 5849473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -16175 + 16186. Solve 0 = -3*l + 5*g + 2, 10 = 2*l + s*g - 10*g for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = 2*j. Let f = 54 - 39. Let k(x) = -9*x. Let z(g) = f*u(g) + 3*k(g). Let w(n) = -n**2. What is w(z(p))?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 2*z = -2*c - 10, -3*c = 5*z + 25. Solve c = -7*t + 4*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.065*32571\nAnswer: -2117.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + 0 + 9\/3. Determine w so that 0*w**2 + 0 + 0*w - 1\/3*w**n = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3758*f + 3779*f + 147 = 0 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 + 69249*r - 138498. Determine y(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5525\/3 or -1841?\nAnswer: -1841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17843 by 2.\nAnswer: -17843\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 81 + 76. What is the tens digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of 0*i + 0*i**4 - 6 + 5\/3*i**3 + 0*i**2 + 9\/5*i**5. What is the third derivative of d(u) wrt u?\nAnswer: 216*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-19 - (17 - (36 - -13))).\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 287*l + 1798*l + 1578*l + 49*l - 321*l as f*l + j and give f.\nAnswer: 3391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 32791851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: -0.304 - -17.2\nAnswer: 16.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5.9 - -6. Let a = -0.014 + 0.048. Let i = n - a. What is i rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-32)\/(-3)*(-456)\/(-16). Let s = o + 31. What are the prime factors of s?\nAnswer: 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*v - 2318 = -0*v. Let n = v - -122. Solve -3 = -3*o - n for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1915, 1889, 1865, 1843, 1823, 1805, 1789?\nAnswer: 1775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2500*z**3 - 2561*z**3 + 2 + 2*z - 2 to the form f*z**2 + s + t*z**3 + a*z and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -11877, -11875, -11871, -11865, -11857, -11847, -11835?\n\"Answer: v**2 - v - 11877","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3035.74162 to one dp.\nAnswer: 3035.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 227*a - 4886669 - 3282374 = -122*a. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s + 0*s - 4*s)*(-3*s**3 + 4*s**3 - 2*s**3) + 9*s**3 - 9*s**3 + 7*s**4.\nAnswer: 8*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444\/(-2109)*(-1767)\/(-6).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 + 2 - 4) + 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*d - 84*d + 44*d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/11 in 33, -5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 9. Suppose -a = -3*a + 6. Suppose -a*z - 4*l + 31 = 0, -3*l - 2*l = -5*z + 5. Sort i, z, 0 in ascending order.\nAnswer: 0, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22427)\/(-1094) - (-1 - -21). What is j in -1 + 3\/2*j - w*j**2 = 0?\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 245211052 (base 6) to base 3.\nAnswer: 22220021110012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 91077800 a multiple of 4165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 5:51 PM?\nAnswer: 1:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 + 4*s**4 + 4 + 0*s**4 + 3*s**4 - 5*s**4 - 2 + s**4 + 2 + (-3*s + 0*s + s)*(0*s**3 - s**3 + 3*s**3) - s**2 - s**4 + 3*s**4 + 2*s**2.\nAnswer: s**4 + s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -48.584811 rounded to zero decimal places?\nAnswer: -49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 747 = 2*r, 0 = -2*x + 3*r + r - 286. Round x to the nearest 10.\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9314.778 years to millennia.\nAnswer: 9.314778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v + 1. Let j(b) = b + 13. Let n(k) = -4*k - 38. Let x(y) = 17*j(y) + 6*n(y). Let z(p) = -12*l(p) - 3*x(p). Differentiate z(t) with respect to t.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/5 (b) 1\/2 (c) -2\/15 (d) 124\/17 (e) 2 (f) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1232 by -1079.\nAnswer: -1232\/1079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 10 + (-2 - (-1 + 3))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.11267481 times -0.3?\nAnswer: -0.033802443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -134 - 0.6093\nAnswer: -134.6093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 1 (b) 29 (c) 35 (d) -9 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3043806349 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 103 + 11936703204.\nAnswer: 11936703307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.01075 + -13.31575. Let s = t - 0.195. Round s to 0 dps.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/66 + o**3\/11 - 10*o**2\/11 + 9*o. What is i in q(i) = 0?\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*2*sqrt(117) - (sqrt(117) - (sqrt(117) - -1*sqrt(117)*4)))\/(-6*(-5*sqrt(81)*-4)\/sqrt(9)).\nAnswer: -sqrt(13)\/60","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -9\/10171 and -16\/71146145.\nAnswer: 71146145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of 4*k**7\/525 - 13*k**6\/300 - 61*k**5\/150 - 8*k**4\/15 + 4*k**3\/5 + 2300*k**2. Find l, given that d(l) = 0.\nAnswer: -2, -1, 1\/4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 4*w + 0*w**2 - 3 + 2\/3*w**3. Differentiate m(y) wrt y.\nAnswer: 4*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 109*j**3*u**2 - j**3*u + 5*j**3 + 10*j**2*u**2 + j**2*u + 3*j*u**2 + 1040*j*u - 3*u**2 + 1 wrt u.\nAnswer: 218*j**3 + 20*j**2 + 6*j - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*(b\/(b**(-2)*b))\/b*b*b\/(b*b\/(b**(5\/7)*b)*b) assuming b is positive.\nAnswer: b**(19\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3548*w - 20 = 3546*w + 2*u, -13*w + 85 = -4*u for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*j**3 + 3*j + 332*j**3 - 3*j.\nAnswer: 253*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 + 16 = 2*q. Let b be -1 - (-2 + 0 + q + -3). What is the third derivative of 2*n**2 + 0*n**2 + 19*n**6 + 7*n**2 - 6*n**b wrt n?\nAnswer: 2280*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26262 + -2356?\nAnswer: -31651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**3 + 10*l**2 - 107*l - 684. Calculate a(-6).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.083 (c) -4 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (272\/1224)\/(((-69)\/(-27))\/(-1))?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g + 4*g - 3*g + (-3 - 1 + 3)*(-247 + 247 - 12*g) + 2*g + 0 + 0.\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 282887228, 282887227, 282887226?\nAnswer: 282887225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eifg when four letters picked without replacement from {i: 1, e: 1, f: 1, c: 1, g: 1}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -210871, -210873, -210885, -210913, -210963, -211041, -211153?\n\"Answer: -k**3 + k**2 + 2*k - 210873","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12915 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 30796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 102 - 67. Let k(d) = d**3 + 5. Let r be k(0). Suppose -5*o - r*x = -l, 6*o - o = -2*x + 41. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 140 is divided by 36 + (5 - -2) + (3 - 8)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -54*l**4 + 4*l**2 - 18. Let c(s) = 54*s**4 - 5*s**2 + 18. Let r(b) = -4*c(b) - 5*m(b). Differentiate r(a) with respect to a.\nAnswer: 216*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83118*s + 30 = 83104*s + c - 99, 0 = 5*s + c + 42 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 1)*(4*g**5 + 4*g**2 - 4*g**2) + (0 - g**2 + 0)*(2*g**2 - 2*g**2 - 2*g**3).\nAnswer: 6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 55\/5*(-36)\/(-33). Solve 6 = 9*r - x for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68\/7 - 143\/14. Which is the closest to -1? (a) g (b) 0 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1283 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 108727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + 1 + -2) - sqrt(847)) + -4.\nAnswer: -11*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.82377875 + -12?\nAnswer: -6.17622125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4614 is divided by 4405?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-408)\/176 + 15\/6. Let q = 4 - 8. Which is the closest to y? (a) q (b) 0.5 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 + -2. Let t = 0.06 - 2.06. Let m be 4\/(-34) + 0\/2. What is the nearest to 1 in t, d, m?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650*b - 1739 - 1882 = -28371 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4\/5 + 0. Put x, -1\/3, 1, 4\/3 in increasing order.\nAnswer: -1\/3, x, 1, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9306 + -6249. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 4*a + 428 = -0*a, -3*a = -4*h + 442. What is the second derivative of 62*w**2 - 62*w**2 + 68*w**5 + 13*w + h*w wrt w?\nAnswer: 1360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14259035 and 1085.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 3*t**3 - 5*t**2 - 15*t - 16. Let p be z(7). Let c = p + 578. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -399152 divided by 208.\nAnswer: -1919","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add -4370.04 and 2.\nAnswer: -4368.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70 and 266.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*d**4 + 2*d**3 - 3124*d**2 + 340211 wrt d?\nAnswer: -8*d**3 + 6*d**2 - 6248*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 (base 10) in base 11?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 715 is divided by 516.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n + 5*n - 7*n - 8*n - 17*n.\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 29\/5 of a kilogram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 880 - 8140 = -10*i. Solve 7*d - i = -677 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - (896\/(-42) + 6 + 3)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -5527, -5709, -5891?\n\"Answer: -182*d - 5345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5639\/2464 - -1\/352. What is the closest to 3 in 4, -0.1, i?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -69 + 8. Round d to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5, 0.08, 2, 0?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - j + 6*j + 25 = 0, -4*b = -2*j - 14 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 19268*i**2 - 85*i + 3. List the prime factors of y(-1).\nAnswer: 2, 3, 1613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -343*a**4 + 71*a**3 + 46*a**2 + 26932516?\nAnswer: -1372*a**3 + 213*a**2 + 92*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-315)\/(-4)))\/((-376)\/564).\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6681517477 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in seventy-one fifths of a century?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*k + 396*k - 64*k.\nAnswer: 531*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:25 PM and 9:54 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -48 - 580?\nAnswer: -608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 8*s - 8. Let v be l(6). What is the third derivative of -129*b - 7*b**v + 129*b + 4*b**2 wrt b?\nAnswer: -168*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d and 1 u when three letters picked without replacement from {u: 4, d: 15}?\nAnswer: 140\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 124475, 124474, 124473?\n\"Answer: -j + 124476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -25, -40, -55, -70?\n\"Answer: -15*r - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**8\/84 + z**7\/15 - 23*z**6\/150 + 14*z**5\/75 - 2*z**4\/15 + z**3 - 3. Let k(d) be the third derivative of b(d). Factor k(n).\nAnswer: -4*(n - 1)**2*(5*n - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 4*p**2 - 8*p - 3. Let x(q) = 7*q**2 - 14*q - 5. Let n(z) = -5*i(z) + 3*x(z). Determine n(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144074?\nAnswer: 2, 7, 41, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 - 38\/12) + (-240104)\/528. Let c = -455 - w. What is the closest to 0 in 148, c, 0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000009192209 rounded to six decimal places?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2600006 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (6 + -9)*5\/((-15)\/2). Solve 0 = -d*s - 3*r, 2*r = -3*s + 5 - 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -694 + 710. Let f = 13 + 12. Suppose -4*n + 3*o + 51 - 16 = 0, 0 = 5*o + f. Solve -3*y - t = -y - 6, -n*t = 3*y - x for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 1 + 4144846*f**3 - 4144847*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 640393, 1280787, 1921181, 2561575?\n\"Answer: 640394*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 9633?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = z**2 + 5*z - 1. Let v = 9 - 15. Let g be x(v). Suppose 3*r = 6, 0 = -g*s + 2*r - 16 - 13. Put -1, s, 3 in descending order.\nAnswer: 3, -1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 4 + 1 + 3 - 3 - 2 - 1 + 2 + (-1 - 2 + 2)*(4 - 1 - 1) - 5 + 4 + 2)*(22*m - 5*m - 7*m) + 2 - 2*m - 2 + 3*m + m - 2*m - 2*m + 2*m - 3*m.\nAnswer: -23*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, d: 2, o: 1, r: 1}. Give prob of sequence nd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = n**3 - 8*n**2 + 2*n - 11. Let x be q(8). Suppose 0 = x*u - 2*a - 14, -10 = -2*u - 2*u + a. Solve -4*h = -2*h - u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f\/(f\/f**(-1\/11)))*f)*f*f**23*f)\/((f**(-23)*f)\/f*f**(-10)*f) assuming f is positive.\nAnswer: f**(615\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*r + 59*r = -5*c + 10, 0 = -5*c + 3*r + 18 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3, -4, 4 in ascending order.\nAnswer: -4, -1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**6\/120 - p**5\/60 + p**4\/12 + p**2. Suppose 2 = -v + 4. Does 8 divide o(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 166764 - 166757. Let v(b) be the third derivative of b**5\/60 - b**4\/3 + 3*b**3\/2 + b**2. What is v(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*q - 31*q - 40*q + 6*q - 10*q.\nAnswer: -62*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of -5*f**2\/2 + 2*f + 4. Let a(n) = n**2 + 16*n - 7. Let g(u) = 4*a(u) + 14*j(u). Find the second derivative of g(p) wrt p.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 259?\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 1259 + 1254 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13831307, 13831309, 13831311, 13831313, 13831315, 13831317?\nAnswer: 13831319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2575 by 5.\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 20 = -4*z. Suppose -r - 6 = -z*r. Suppose 0 = -3*n - 11 + r, -2*g - 4*n = -272. What are the prime factors of g?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 81 - 29. Suppose 197*i - 333 = 358*i - 11. What is the biggest value in 0.1, i, 2\/17, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 461 + -478 - (2 + -37)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*x + 6*x - x)*(-x**2 + 3*x**2 + 0*x**2) + x**3 - x**3 + 2*x**3 + 3 - 3 + 2*x**3)*(-8 - 6 - 15).\nAnswer: -232*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -3*d + 0*d - 2*d + 2*d**2 - 3*d**2 + 1. Give a(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -448.7 - 1.\nAnswer: -449.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:57 PM and 11:40 PM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.1 and 0.0231654.\nAnswer: -0.0768346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**5*g - 2*c**5 + 6*c**3*g - 2*c**2*g + 2*c*g - 5*g wrt c?\nAnswer: -120*c**2*g - 120*c**2 + 36*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 13065607 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/7*5\/(30\/(-7))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42420)\/(-120) - 3\/2. Let b = 355 - z. Solve -b*s - 2*o = -17, 4*s + 0 = 2*o + 4 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -363, -429, -339, -63, 429, 1167, 2181?\nAnswer: 3501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 + 37*z**2 + 38*z + 73. Determine p(38).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 55 - 31. Suppose -2*s + 27 = s. Calculate the remainder when c is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r**3 + r**2 + 3*r + 3. Determine y(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 93873\/1225834 - 66\/887. What is the second biggest value in -4, -0.1, 4, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4613 in -3, 1, -1\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1922 + -998. What is the smallest common multiple of x and 660?\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:38 PM and 10:05 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.09165342 to two dps.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 588 - 591. Let n be (-22)\/(-77) + 141\/21 + o. Suppose -5*r + 5 = -0. What is the highest common factor of n and r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/(-3) + 2 + -26. Let u be (20\/h)\/(15\/(-27)). What is the biggest value in -1, 2, u?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 174 and 87232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**10)\/r**11)\/((r*r*r**(-2\/9))\/(r\/(r\/(r*r\/(r*r**(-2\/5)\/r))))) assuming r is positive.\nAnswer: r**(-872\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -z**3 + z**2 + z + 1. Let a be x(-1). Suppose -2*p = -5*p - a*u - 137, 12 = -3*u. Let n = -46 - p. Sort -5, 3, -13, n in ascending order.\nAnswer: -13, -5, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/1965 or 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -69, 2, -33?\nAnswer: -33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3030 divided by -5\nAnswer: 606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1504806 divided by 6\nAnswer: -250801","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -90 + 20 + 52 - (0 + -34).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*t**2 + 53*t**2 + 30*t**2.\nAnswer: 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o - 11*o - 13470 + 13470 - 17*o.\nAnswer: -26*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -8*h + 144. Let a be t(18). Solve -2*v + 10 = 3*i, a = 2*i + 4*v - 9*v + 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 257*n + 1833. Give x(-8).\nAnswer: -223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2d7029 (base 16) to base 14\nAnswer: -577305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = 3*o. Which is smaller: -1\/4 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*sqrt(540))\/(-2*sqrt(48)\/sqrt(4)))**2 + -2.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1 - 852125*r**3 + 852118*r**3 - 2.\nAnswer: -7*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -254 (base 9) in base 14?\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 21010*y**2. Let m(k) = -k**2. Give i(m(a)).\nAnswer: 21010*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -41404742?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7528288 to the nearest integer?\nAnswer: 2744","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 53802 to the nearest integer?\nAnswer: 232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 138 = -3*z + 15*t - 3*t + 10, -z - 5*t + 344 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3a (base 14) to base 10.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4802 = -18*z + 20*z + y, 4*y + 7214 = 3*z. What are the prime factors of z?\nAnswer: 2, 1201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 15c0aa (base 16) to base 14\nAnswer: 291750","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 606*m**2 + 815*m**2 - 2179*m**2 + 752*m**2.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 6 (b) -45 (c) -18 (d) -0.4 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1015)\/(-580)*(-96)\/1596?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*f**3 - 2*f**3 - 2*f**3 - 25182*f**2 + 25182*f**2.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -9976 divided by -2494\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 - 5*k + 2. Let n(r) = -10*r**2 + 26*r - 11. Let a(w) = -2*n(w) - 11*o(w). Let t be a(1). Solve 0 = m - 0 - t for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -7934\/195 - -496\/13. Let h = -1\/1318996 - -1539268597\/349533940. Let f = 1\/265 - h. Calculate the common denominator of b and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -2165, -5, -1118 in descending order.\nAnswer: 1, -3, -5, -1118, -2165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5605\/(45\/(-175) + (-34)\/(-85))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + 1 + 112\/12?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of 3201*b**2 + 4700. Let y(z) = -2*z**2. Give y(m(n)).\nAnswer: -81971208*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-21)*p\/p**(-18) assuming p is positive.\nAnswer: p**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 46635119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13*d + 13*d + 18*d**2)*(-2*d + d + 4*d) + 2*d - 2*d - d**3 + (0 - 2 - 1)*(-6*d**3 - 3*d**2 + 3*d**2).\nAnswer: 71*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t**3\/4 - 89*t**2\/4 + 32*t + 11 = 0.\nAnswer: -2\/7, 2, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -31\/15 - -7\/5. Let p = 2.66 + -1.7. Let g = p - -0.04. What is the closest to g in 0.1, -2, m?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2918)\/(-4) + 18\/4 + -5. Let c = 1416 - m. Is 11 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2 and 64452.54.\nAnswer: 12890.508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -100101010001111111 (base 2) to base 14\nAnswer: -3d915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the third derivative of k**7\/420 - k**4\/6 - 5*k**3\/2 + 210*k**2. Let s(t) be the second derivative of b(t). Let y(r) = 2*r**2. What is y(s(f))?\nAnswer: 72*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -23 + 26. Let r(t) = -28*t**3 + 2*t**2 + 0 - 1 + 27*t**3. What is r(h)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-101 + 94)\/(2\/2).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(15)\/sqrt(5) + 2)**2 + (-3*(sqrt(12) + 0))**2.\nAnswer: 8*sqrt(3) + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6646637.\nAnswer: 19, 353, 991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 25 = 5*s, 3*j - 4*j + s = -5. Let q(t) = -2*t**2 + 140. What are the prime factors of q(j)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u**2 + 106*u + 324. Let i be z(-3). Suppose 2*r - 10 = -3*r. What is the second biggest value in -2, i, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (476\/(-196))\/(((-3 + 7)\/4)\/7).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -424576, -849127, -1273678?\nAnswer: -1698229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 16*q**2 + 19*q - 21. Give y(17).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*j**3 + 2*j - 2*j - 1 - 11*j**3 to the form q*j**3 + l + s*j**2 + r*j and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20) + -1*(sqrt(60)\/sqrt(3) + sqrt(20)))\/sqrt(4).\nAnswer: -sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, s: 5, x: 2, a: 2, i: 1}. Give prob of sequence xss.\nAnswer: 5\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-three eighths of a microgram?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**2\/9 + 6119152*l\/3 - 91787230\/9 = 0.\nAnswer: 5, 9178723","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1748.\nAnswer: 2, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9288 (base 10) to base 12.\nAnswer: 5460","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i**3\/5 - 85823*i**2 - 46035135363*i\/5 - 46034706249\/5 = 0. What is i?\nAnswer: -214557, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 2393 * 3\nAnswer: 7179","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 230 = -15*x, -40*o - 12*x + 199 = -39*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1 and 201127.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-16)\/6)\/((-6)\/(-9)). Let x be (s\/10)\/(4\/(-40)). Is (x\/4 + 0)*4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of t**6\/120 - t**5\/12 + 8*t**3\/3 + 88. Let x(a) be the third derivative of d(a). Let n(k) = 2*k. Determine n(x(c)).\nAnswer: 6*c**2 - 20*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 14424 = 42129. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 15 and -4.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.12 * 18962.1105\nAnswer: -2275.45326","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(675)*-3 + sqrt(27) + 0)**2.\nAnswer: -26460","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1981019 to the nearest integer?\nAnswer: 126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9282729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(-2 + sqrt(1458))*4 + sqrt(90)\/(4*sqrt(5)*-3) + 4.\nAnswer: -2161*sqrt(2)\/4 + 44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7*y = -9. Let p be (-46)\/(-8) + y\/(-12). Suppose -u + p*u = 20. What is the remainder when 9 is divided by u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 - ((5 - 8) + 11)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 15, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-2)\/8*0)\/(-4))\/1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 161 and 29172878?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6436?\nAnswer: 2, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -407 = -56*x - 149 + 1030 for x.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 4069*b + 2213571. What is k(-544)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -75*a + 76*a + 57. Let h = 65 + a. Let k(q) = -q**2 - 7*q + 5. Let o be k(-7). Solve -o*y - 12 = h for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 - -5. Let m(n) = -n - 32 + 72 - 40. Give m(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2021, 4292, 6565, 8840, 11117, 13396?\nAnswer: 15677","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o, 1 t, and 1 h when three letters picked without replacement from {h: 6, o: 3, t: 6, c: 4}?\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 9*i**4 + 336*i**3 - 1440*i**2 + 1233*i + 3000. Let a(m) = m**4 + 42*m**3 - 180*m**2 + 154*m + 375. Let k(o) = 33*a(o) - 4*s(o). Factor k(g).\nAnswer: -3*(g - 5)**3*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94220281 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 5 + 185\/(-40) + -1.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 6:11 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -1*((-92)\/14)\/(136\/(-476))\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34039119?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -87*i. Let z(v) = 12*v**2 - 8*v + 2. Let s(c) = 5*c**2 - c + 1. Let k(p) = 2*s(p) - z(p). Let m(b) = 2*b. Let x(y) = k(y) - 3*m(y). What is x(a(o))?\nAnswer: -15138*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9816*j**4 + 15*j**2 + 149*j - 2 wrt j.\nAnswer: 235584*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 - -136. Suppose 5*b - 3*n - l = -18, 5*b + 3*n = 37. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 6:47 PM?\nAnswer: 67","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.2 and -18.6?\nAnswer: -3.72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/7)\/u)**(1\/24)*(u*u*u**(-3\/8)\/u)\/u*u\/u**(-3)*(u**(-1)\/u*u)**(6\/29)*u**4*u*u**(-5) assuming u is positive.\nAnswer: u**(4127\/1218)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.09, 7290 in decreasing order.\nAnswer: 7290, 0.09, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 125 - 116. Suppose 0 = -4*f - r - s, 5*f - 2*r = -6 - 2. Put f, 0, -26, 3 in increasing order.\nAnswer: -26, f, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 17*b**2 - b - 19. Let j be q(14). Let f = -417 - j. What is the highest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 92 - 54. Let s = 7 + -3. Suppose 9 = 3*o - s*f - 42, 62 = 5*o + f. Calculate the remainder when m is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7.603 - 1.603. What is the nearest to -3 in -1\/2, r, -2\/17, 3?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 109\/1932720 and -45\/16.\nAnswer: 1932720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 41 - 25. Suppose -171 = -c*o - o. Suppose w = p - 2*w - o, -76 = -4*p + 4*w. What is the remainder when 70 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 1530*v**2 + 10709*v + 4. What is q(-7)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 5*o - 2 = -3*o, -5*f = -2*o + 22. Let n(w) = -w**2 - 5*w - 3. Calculate n(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from {r: 6, y: 1, s: 1, i: 1, j: 3, v: 3}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 225725936?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 83 + 145. What is the highest common factor of q and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1207096 and 101\/18920.\nAnswer: 6035480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1070472*r**6 + 93*r**2 + 12*r - 15?\nAnswer: -128456640*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 277 divided by -7.\nAnswer: -277\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 57*u + u**3 - 2 - 3*u**3 - 122*u - 14*u**3 + 59*u to the form b + p*u**2 + v*u + t*u**3 and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12408945*i + 12*i**3 + 12408945*i.\nAnswer: 12*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-22)\/(-121) - 196\/(-11). Sort 1, -6, 0, f.\nAnswer: -6, 0, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -50\/3 + 17. Factor 2\/3*f**2 + b*f**5 + 0*f**4 - 2\/3 - 4\/3*f**3 + f.\nAnswer: (f - 1)**3*(f + 1)*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -63. Suppose -g = 4*k - 350. List the prime factors of k.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*f + 1324269 = 1326201 for f.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000023686 rounded to 7 decimal places?\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/4 (b) 0.2 (c) -27 (d) 5 (e) 30 (f) -5 (g) 213\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 14\/4 + (-2)\/4. Let l be -10*(2 + -3) - 4. Suppose -q - q - l = 0, q = -2*x + 1. Sort 5, g, x.\nAnswer: x, g, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(1539)*-4 + sqrt(1216) + 1)*-5.\nAnswer: -840*sqrt(19) + 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/(-8) - (21\/(-6) + 2)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = 4*m - 2. Suppose 4*d + 3*g - 6*g + 21 = 0, -4*d = m*g + 6. Let l be ((-12)\/(-9))\/((-2)\/6). Put d, 5, l in descending order.\nAnswer: 5, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 63*h - 92. Let n(j) = 22*j - 33. Let p(v) = 5*l(v) - 14*n(v). Let c(w) = 7*w + 1. Give 3*c(f) - 2*p(f).\nAnswer: 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 882 = -26*u + 814, -29*u + 6 = 2*d - 24*u for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36)\/48*(-1440)\/(-324).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8024145 and 1365?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2.88 and -4?\nAnswer: -11.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 742, 1485, 2230, 2977, 3726, 4477?\n\"Answer: x**2 + 740*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(693)\/sqrt(11))\/sqrt(9) - (1 + (sqrt(63) - sqrt(7))**2) - (2*(sqrt(112) - sqrt(112)*1)**2 + sqrt(112) + 3).\nAnswer: -32 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i\/(i**25\/i)*i))**12)**(7\/4) assuming i is positive.\nAnswer: i**483","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208171 = -24*y - 62899. List the prime factors of y.\nAnswer: 6053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (54\/12 + -5)*4. What is the tens digit of k + 6 + 67 - (7 + -2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 153 and 11.\nAnswer: 1683","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (10542\/(-4267))\/((-8)\/17)?\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5868885456 to the nearest integer?\nAnswer: 1804","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -261 - -285. Does v = 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2697, -2688, -2681, -2682, -2697?\nAnswer: -2732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2760*105.\nAnswer: 289800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3469, -3661, -3853?\nAnswer: -4045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -58057789\/136 - -426890. Let p = z + 45\/8. Let g = -4381 - -4382. Which is the smallest value? (a) -2\/9 (b) g (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 0*h + 7 + 3*h - 5 + 13. Let g be f(-4). Suppose 7*s + 142400 = g*s. What is s rounded to the nearest 1000?\nAnswer: -36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 173.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.36084087 times 0.5?\nAnswer: 0.180420435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 926010.2 millennia?\nAnswer: 9260102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7.142 - -7.442. Let h = -0.5 - -0.7. Which is the third biggest value? (a) q (b) 2\/23 (c) h (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7.5 - 8.94. Round x to one dp.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2299))*6 + 5 + -1*sqrt(2299))**2.\nAnswer: -770*sqrt(19) + 57524","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -11*t + 45. Determine f(0).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -274*m + 64. Let t(r) = -129*r + 32. Give 5*c(b) - 11*t(b).\nAnswer: 49*b - 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 107642 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + -5. Let y = j + 10. Let s = y - -22. Is 4 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = -3*z - 250. Let f be 0 + 1 - (-11 - -8). Suppose f*k + 54 = 158. Calculate the remainder when z is divided by k.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*y**2 + 3*y**2 + y**2)*(3*y - 3*y - 6*y**2) + 269*y**4 - 2*y**2 - 63*y**4 + 2*y**2 to n + u*y**3 + p*y + w*y**4 + v*y**2 and give w.\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3*8\/3 - 3. Suppose 5*f = 4*d - 10, t*d + f + 3*f - 33 = 0. Let s = -5\/12 + 1\/12. Which is the nearest to s? (a) 1 (b) -2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 31 + 7 - 43 + 5 - 14*a. Let q(n) = 13*n**2 + 2. Determine s(q(p)).\nAnswer: -182*p**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve j = -4*g - 9, -6*g + 8129 = -2*j + 8111 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. Give prob of sequence eee.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 117\/12*(-3)\/((-18)\/(-8))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 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: ((555\/888)\/((-2)\/(-8)))\/(165\/792)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + d + 2. Suppose 15 = -5*w + f - 2*f, 0 = -5*w + 3*f + 5. Let h be g(w). Suppose 5*c - r = 55, 0*r + 2*r + h = 3*c. Is c a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 21720057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 30*p**2. Let j(r) = -13*r**2 + 16. Let a(v) = -29*v**2 + 36. Let q(k) = -4*a(k) + 9*j(k). What is o(s) + 3*q(s)?\nAnswer: 27*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 74098 + -74098.33491. Round m to two decimal places.\nAnswer: -0.33","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-6))\/(w**(-9)*w))\/(w**(-1)\/w**(2\/5))*(w**(1\/4)\/(w*w**(-1\/4)*w))\/(w**8*w**3) assuming w is positive.\nAnswer: w**(39\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence grr when three letters picked without replacement from grrrrrrrrirrirrrr.\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, -1\/17, -1\/32, 29, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4, d: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(117))\/sqrt(9)*-2)**2 + (sqrt(104)\/(sqrt(288)*5))**2.\nAnswer: 46813\/900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 23552732.\nAnswer: -2355273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8052128?\nAnswer: 2, 7, 103, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 4*y - 3)*(2 - 2 - y)*((-1 + 2 - 2)*(-1 - 2 + 1) - 17 - 40 - 1 + 2 - 3 - 3 + 3 + 33 - 11) to s + g*y + f*y**2 and give f.\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 + -19851.\nAnswer: -19847","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 128 + -132. Let s be (v\/3 - -2)\/(10\/30). Let y(n) = 2*n**3 - 4*n**2 + n + 2. Calculate y(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*r**3*s**2 - 3*r**3*s + 85*r - 5748*s**2 wrt r?\nAnswer: -12*r**2*s**2 - 9*r**2*s + 85","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -10.808 + -0.192. Let s = 0.208 + 0.192. Put s, t, 4 in decreasing order.\nAnswer: 4, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -f**5\/5 + 1788*f**4\/5 - 165076*f**3 + 23177442*f**2\/5 + 825381*f\/5 - 4635846 = 0.\nAnswer: -1, 1, 30, 879","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 - 14*u + 18. Let k be s(12). What are the prime factors of (-2 - 8\/(-5))*(-584 + k)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6936603319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epe when three letters picked without replacement from {p: 3, e: 4, r: 7}?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 2*u - 6*u, 2*i - 3*u = -5. Let w be (2 + 3)*3\/5. Suppose 1 - w = -r. What is the smallest common multiple of i and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*q - 7 - 25 + 29 - 15 as d*q + l and give l.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3166783 * 0.2.\nAnswer: -633356.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1810 = -5*a - 2*t, -a + 2*t + 380 = 6*t. Let g = 508 - a. Suppose p + 5*r = 87, 2*p - 44 = -r + g. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2308\/5 not equal to -461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 52272\/209 + (-12)\/114. What is the highest common divisor of 1150 and o?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 241, 243, 245?\n\"Answer: 2*s + 239","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -168 + 134 = 17*k. What is the biggest value in -0.1, 4, k, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9733 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27, -54, -119, -240, -435, -722?\nAnswer: -1119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 551 + -480. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/5 (b) 3 (c) 2\/13 (d) 1\/5 (e) -91\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (60\/(-16))\/((-6)\/16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.08, 0, -1\/5, 10\/19, 4?\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 2\/9 (b) 0.1 (c) 0.3 (d) -18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 10. Let z be o(8). What is the units digit of z\/10 - (-224)\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 - (-10 - -2 - -14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2496132 plus -11.43?\nAnswer: -2496143.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) be the first derivative of 6*b**5\/5 - 2*b**3\/3 - 3*b**2\/2 - 5. Find the third derivative of h(k) wrt k.\nAnswer: 144*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 17*y**2 + 13. Let k be a(-17). Suppose 4*t + 33 = 5*g + 76, 2*g + k = t. Let d(z) = -z**2 - t - 3*z + 15 - 11. What is d(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*i + 40, 5*h - 2*i - 89 - 26 = 0. Calculate the smallest common multiple of h and 1755.\nAnswer: 12285","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7614812 is divided by 21.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 PM and 12:41 AM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -45, 5, -2, 14.\nAnswer: -45, -16, -2, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -54449 * -230.\nAnswer: 12523270","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2, 0, -1492 in increasing order.\nAnswer: -1492, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 497864, 497845, 497826?\n\"Answer: -19*p + 497883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 80 - 31. Differentiate -48*f**2 + 49*f + 8*f**2 + 50 - d*f wrt f.\nAnswer: -80*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.19 and -1040.\nAnswer: -1040.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.328 + -0.328. Suppose v = -3*v + 4*o - 128, 0 = -4*o - 4. Which is smaller: p or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 22 = 5. Suppose u = 2*b + 3. Let d = b + 1. Is 4 >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -55.1654 - -94.5861. Let j = -39.4 + z. Round j to 3 dps.\nAnswer: 0.021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22*c + 20 = 12*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -243*k**5\/2 + 295137*k**4\/2 - 952323*k**3 - 11893338*k**2 - 5138364*k - 565344 = 0.\nAnswer: -6, -2\/9, 13, 1208","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7902 and 5346?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 656, 627, 558, 431, 228, -69, -478?\n\"Answer: -3*p**3 - 2*p**2 - 2*p + 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 3*x = -7, 31 = 4*m - 9*x + 4*x. Solve -m*k - 3 - 1 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 373001*v - 12. Let a be c(12). Suppose 7*d = d + a. What is d rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l - 80. Let j be w(-5). Which is smaller: j or -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2261849?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 82, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*k - 49140. Is k\/21 - 6\/21 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*b + 200 + 280. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -9*s**4 - 9*s**3 + 3614*s**2 + 164*s - 270 wrt s.\nAnswer: -108*s**2 - 54*s + 7228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 29 or 32?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 70 and 30352?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -293075 - -5?\nAnswer: -293070","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 2*p - 3*p. Suppose p = -47*r + 43*r + 1492. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m*(m*(m*m*(m**(-2\/9)*m)\/m)\/m)\/m))*m**5*(m**(7\/2)\/m)\/(m\/(m**3\/m*m)))**(-2\/13) assuming m is positive.\nAnswer: m**(-203\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -3*a + 4. Let n(l) = -14*l + 19. Let v(y) = -11*b(y) + 2*n(y). What is the units digit of v(4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - 0 - 18\/(-2). Suppose -4*y - 4*i - u = -3*i, -4*i = -2*y - 26. Let m be 1\/(y\/(-24)) + 3. Solve -3*t = 1 + m for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/7 - 9186*z\/7.\nAnswer: -2*z*(z + 4593)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15719 = 18*b + 15647 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -2452.4 to the nearest 10.\nAnswer: -2450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1269*n + 3038. Give l(-3).\nAnswer: -769","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 + 9*s + 5. Let c be u(-7). Let t = -5 - c. Let 5*h + 8*h**2 - 7*h**4 - h**4 - h - t*h**5 = 0. Calculate h.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 760.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -5 + 3a37?\nAnswer: 3a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 186143*f**3 + 388*f**2 + 388*f + 388. Let s(b) = 1443*b**3 + 3*b**2 + 3*b + 3. Determine -3*j(u) + 388*s(u).\nAnswer: 1455*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 less than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1330130317.\nAnswer: 1330130317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*j - 25. Let q(y) = -2*y**2 - 8 - 1228*y + 1222*y + y**3 + 3*y**2. Let p(i) = -2*i**3 - 2*i**2 + 11*i + 15. What is j*p(u) + 11*q(u)?\nAnswer: -u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1368\/7 + 195. Let m be 12*((-170)\/60)\/(-17). Let r = 15.3 + -15.8. What is the biggest value in f, r, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(-9)*-2*3\/21.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -76859, -76104, -75351, -74600, -73851?\n\"Answer: -w**2 + 758*w - 77616","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 10118.8131?\nAnswer: 20237.6262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -k + 4. Let z be 0 + (k - 32\/6). Which is smaller: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 10 and -3609582.\nAnswer: -36095820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 2476*k + 4904*k - 2506*k.\nAnswer: -78*k - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -19 + (19 - 34)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by 1519\nAnswer: -17\/1519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 7:16 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -1. Let t(i) = i**3 - 13*i + 3. Let o(h) = h**3 + h**2 - 12*h + 2. Let b(n) = q*o(n) + 3*t(n). Is b(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 3*r - 25 = 0, x - 2*r = 3*x - 14. Suppose 2*m - 5 = -t, -4*t + 4*m + x = 6*m. Let v = 8 + -13. Sort t, v, 4 in decreasing order.\nAnswer: 4, t, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/((-9)\/17) + (-3)\/(-9). Suppose m - 1 = 4*t, -3*t + g*t - 6 = 0. Calculate the remainder when 61 is divided by m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1800 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**3 + 3*d**3 - 2*d**3)*(-5*d + 2*d + d) - 2*d**4 + 12*d**4 + 13*d**4 + d**4 + 3*d**4 - 2*d**4.\nAnswer: 21*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 4 (b) 1\/6 (c) 35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2 + 1)*(-2*r**2 - 2*r**2 + 3*r**2) - 3*r**2 + 3*r**2 - r**2 + (-1 + 1 + 2)*(2*r**2 - 5*r + 5*r) + 0 + 3 - 1 - 22*r**2.\nAnswer: -21*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-5)\/4)\/((-3)\/(-1*12))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, 4, -13 in descending order.\nAnswer: 4, 0, -4, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -533, -550, -571, -596?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -289, -1169, -2637, -4693, -7337, -10569?\n\"Answer: -294*i**2 + 2*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62 - 51 - (1 - -2) - (2 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j**5\/2 + 12*j**4 - 109*j**3\/2 - 273*j**2 + 676*j = 0 for j.\nAnswer: -4, 0, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - 10 - (9 + -5)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - 634136?\nAnswer: -634132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 29 + 10 = -2*b, w + 5*b - 28 = 0. Let j(m) = 70 - 69 - 4*m**w - 3*m**2 - 2*m + 5*m**3. Determine j(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1721 + 3505. Let l = s - 315767\/177. Which is greater: 1 or l?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 405 minutes after 12:17 PM?\nAnswer: 7:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1933 or -846?\nAnswer: 1933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 200739 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 3*r**2 + r**3)*(10*r**2 - 145 - 2*r + 73 + 75).\nAnswer: 10*r**5 - 2*r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**3 + 7610*g**2 + 5720*g - 7694. Calculate a(952).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 0.029239668+0.06692\nAnswer: 0.096159668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 3\/8, -0.5, -1.7744, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6775.\nAnswer: 5, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 326059 is divided by 241.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25359 is divided by 2133?\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-144)\/30)\/(115\/575).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.652554 rounded to two dps?\nAnswer: -0.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -152 + 8. Let t be (s\/(-66) - 2) + (-27502)\/11. Round t to the nearest one hundred.\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2\/23*s**4 + 4\/23*s**3 + 6\/23*s**2 - 8\/23 - 8\/23*s = 0. Calculate s.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2 + -6)*2\/(-4). Suppose -2*p + 16 = -0. Calculate the greatest common factor of p and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6 - 0)*(-2 + 1). Let c(f) = -f**3 + 7*f**2 - 6*f + 4. Let j be c(a). Suppose j = 2*z - 14. What are the prime factors of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 15, -8, 245, -3, -1, 30 in ascending order.\nAnswer: -8, -3, -2, -1, 15, 30, 245","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5165*x = 2763*x + 2540*x + 5796 for x.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 14617882919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/2 - 214*m + 22736.\nAnswer: (m - 232)*(m - 196)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.9 - -0.1. Suppose 85 = -4*s + 3*j + 250, -4*s + 141 = 5*j. Let z = s - 159\/4. Which is greater: z or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*a = -20 - 1. Let p(c) = -7*c + 26. Let q(j) = 6*j - 27. Let w(k) = a*q(k) - 2*p(k). What is the units digit of w(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 2*d + 7. Let x be f(16). Let j = x - -85. Let o = j - 83. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 267 a factor of 20112546?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 7, s: 3}. Give prob of picking 3 g and 1 s.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*b**3 + 19*b**3 - 505 + 523.\nAnswer: 2*b**3 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.129846 - -3?\nAnswer: 33.129846","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 - 1929.\nAnswer: -1975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + 15 = 0, -5*z = 144*k - 143*k - 45. Solve -z*a + 147 = -59*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -9612 and -0.033.\nAnswer: -9612.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.999999955 + 23. What is s rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-6)*12\/(-3). List the prime factors of (-2)\/(-4)*u - -2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 463018 is divided by 811.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 1, 1\/2, 2\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124463 - 1519. Let r = l + 125981.670017. Let b = r + 0.33. What is b rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3962810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 13, 59, 173, 385, 725, 1223, 1909, 2813?\n\"Answer: 5*u**3 + 4*u**2 - u + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 14873, 19222, 23571, 27920, 32269?\n\"Answer: 4349*h + 10524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -1203, -5, 3, 5, 101 in decreasing order.\nAnswer: 101, 5, 3, -5, -1203","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 2339551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/9 + 48\/27. Let p(y) = 2 - y - r. Let i(f) = -f**2 + 7*f + 7. Let d(m) = -m**2 + 6*m + 6. Let s(x) = 7*d(x) - 6*i(x). Give s(p(t)).\nAnswer: -t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 19 - 3. What is the third derivative of 5*j**2 + 5*j**5 + 2*j**x - 2*j**4 - 6*j**5 wrt j?\nAnswer: -60*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 5*k = 20, 3*d - k = -39 + 9. Let s = -5 - d. Suppose 5*i - v = 148, -s*i = -3*v - 120 - 24. Does 15 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2202719, 2202698, 2202677, 2202656?\nAnswer: 2202635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 425 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.4, 1, -1, 4, 16?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*k**4\/7 - 2*k**2\/7 = 0 for k.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = 20, -3*h + 8*k - 47 = -30 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9998470201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 275, 372, 237, -130, -729, -1560, -2623?\n\"Answer: -116*f**2 + 445*f - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(76)*-4)\/(sqrt(12)\/(sqrt(3)*3)).\nAnswer: 12*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 146*a - 20. Let f be w(5). Suppose 8*l = f + 4778. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 39498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1579 a factor of 365754970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -88 divided by 11\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11764 - 1553. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (203\/(-116))\/(147\/238)?\nAnswer: -17\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 12*v = 21, 60*h - 2*v - 7 = 63*h - 4*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -983 divided by 105268\nAnswer: -983\/105268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = q + 89. What is x(-17)?\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18575154?\nAnswer: 2, 3, 13, 163, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the third derivative of 0 + 1\/120*r**6 + 1\/24*r**4 - 98*r**2 + 0*r + 1\/12*r**5 + 0*r**3. Determine o(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -f - f. Suppose -2*k + f + 36 = -m, -3*k - 4*m + 102 = 0. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -138 - -201. Let m be ((-4)\/(-3))\/(28\/a). Solve z + 4 + 7 = -2*b, -5*b - 22 = -m*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6924 + -6928. Let u(p) = -p**2 + 3*p - 3. Let b(a) = -a**2 - a + 1. Calculate t*b(l) - u(l).\nAnswer: 5*l**2 + l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -13540*w**3 - 19*w**2 + w + 1472776.\nAnswer: -40620*w**2 - 38*w + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -49823, -49778, -49711, -49628, -49535?\n\"Answer: -h**3 + 17*h**2 + h - 49840","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9 - 14. Let m be 1\/14*(21 - w). Let t = m + -97\/56. What is the common denominator of t and 67\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -752047154587071 - -752048394799589.9999949. Let d = p - 1240212467. Let a = d + -52. What is a rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z + 7*z - 10 + 23*z + 10.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) 6 (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10994909?\nAnswer: 509, 21601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*y - 210 = -116*y. Calculate the common denominator of (-2)\/5 - 94\/(-20) and (y\/(-616))\/(1\/62).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a kilogram in grams?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -9*x - 103. Let h(u) = -u - 25. Let b(o) = -f(o) + 4*h(o). Let l(a) = -a**3 - 4*a**2 + 3*a - 7. Let k be l(-5). Determine b(k).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = c - 3*c. Let t be (-3)\/c*2 + 19. Solve t = 3*y - 8*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 15) to base 4.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -1259686*u - 1. Let g be z(1). Let o = -1922687 - g. What is o rounded to the nearest 10000?\nAnswer: -660000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 19049 + -497. What are the prime factors of k?\nAnswer: 2, 3, 773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1600\/12*(-36)\/(-10). Suppose 3*w - 7*w = -c + 75, 0 = 5*c + w - q. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -950 or 44?\nAnswer: -950","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(320) + (-2 + sqrt(320))**2 + (-3*-2*sqrt(5))**2 + -1 - (1*sqrt(180) + 5 - (-4 + sqrt(180) + sqrt(180) + 1 - sqrt(180))**2).\nAnswer: -66*sqrt(5) + 687","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 755760172?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4130.\nAnswer: 2, 5, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5592?\nAnswer: 2, 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5\/5*123 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 94*(-10)\/20 + 3*6*14\/(-36).\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 56814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 3, c: 1, z: 3, v: 2, f: 1, i: 1}. Give prob of picking 1 c, 2 z, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12005, 90, -3.\nAnswer: -3, 90, 12005","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2 + sqrt(180) + 1)**2*-6 + (sqrt(180) + 0)*1 + -3 + 0.\nAnswer: -1141 - 210*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j**2\/3 - 1226*j\/3 - 2428 = 0 for j.\nAnswer: -607, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from crcrrrcbctcrrrcr.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.153 - -0.243. Which is the nearest to -1\/2? (a) -1 (b) s (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 28 + 6 = -13*f, 4*z + 3741 = f + 3748 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 136098?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 323 (base 6) to base 3.\nAnswer: 11120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**32*m)\/(m*m**19) assuming m is positive.\nAnswer: m**13","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-3)\/6)\/(1\/78). Let h be (3\/((-27)\/6))\/(64\/(-3168)). Let o = h + u. Which is greater: -1 or o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10792423 or -10792425?\nAnswer: -10792425","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -27217832 plus 20504.4?\nAnswer: -27197327.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -2\/15*f**6 + 32\/3*f**3 + 9*f - 20*f**4 + 0*f**2 - 63\/20*f**5 + 0. Solve x(v) = 0.\nAnswer: -8, 0, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 6\/1093?\nAnswer: 6\/1093","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iii. What is prob of sequence ii?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 79\/3933 + 4\/171. Is 0 equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 >= -4606374\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 970.\nAnswer: 2, 5, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -68*t**3 + 10*t**3 + 56 - 57 - 2*t. Is d(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f - 401 = 3*f - 368 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3682 a factor of 12485662?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 + 5*m + 6. Suppose -5*f + 2*p = -f - 12, 2*p - 8 = 0. What are the prime factors of u(f)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -10182 - -10182.0030679. Round k to four decimal places.\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/1149798*(-1)\/5. Let x = g - 348771101821\/40242930. Let c = 8663 + x. Find the common denominator of 115\/18 and c.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/3))**(-3\/25))**(-1\/5)\/(k**(-3)*k**4*(k**(1\/4)*k)**(-12)) assuming k is positive.\nAnswer: k**(1752\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -253 = -3*w + w + l, -3*w = -5*l - 369. Calculate the remainder when w is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 - 25*f**2 + 439*f - 37. Determine t(14).\nAnswer: -1535","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 101 - 35*j**2 - 102 + 35*j**2.\nAnswer: -4*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 3 + (-7 - -3) + 0\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 796684473.\nAnswer: 3, 13, 2269, 3001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, -4\/5, -2\/7, -10739, 4.\nAnswer: -10739, -4\/5, -2\/7, -2\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 2 (b) -0.3 (c) 0.4 (d) 2\/525\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 123 + 5. Suppose -4*t + 48 + v = 0. Suppose -o - t = -5*o. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -6*g + 2*g**2 - 4 - 5 - g**2. Determine w(7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**2 + t. Let z be p(1). Sort -1, 0.4, z in ascending order.\nAnswer: z, -1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 322684 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 remainder when 732801 is divided by 61?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -34.2314826 to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 3*l**3 + 31*l**2 - 24*l - 4. Calculate the remainder when 85 is divided by p(-11).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -5\/37 (b) -4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 1054 = -7*q + 2*q, 5*y - 190 = -q. What is the least common multiple of 7 and q?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88.451 - -0.14423?\nAnswer: -88.30677","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 23\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16811465 and 165?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y - 20. Let j(x) = x**2 + 7*x + 10. Let m be j(y). Suppose 1 = -w - 5*i + 21, m = -i + 5. Let n(v) = v**2 + 7*v + 3. Determine n(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 i, and 1 u when four letters picked without replacement from irirlxrliiiruuuurru.\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o - o - 3*o)*(3 + 2*o**2 - 3) + 6*o**3 + 28*o**2 - 28*o**2 + (7 - 1 - 6*o**2 - 5)*(-5*o + o + o).\nAnswer: 20*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - -39. Calculate the lowest common multiple of 7 and q.\nAnswer: 301","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (38*a**2 + 3*a**3 + 288 - 286 - a**3)*(-2*a - 54 + 202 - 102) to y + s*a + b*a**4 + t*a**2 + u*a**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 5*r - 125. Let m be q(29). Let x = -22 + m. Are -4\/3 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-10.2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 507657411 < 507657412?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 16306 - 16304.05. What is the smallest value in 4, i, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -427 and -2\/45 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*w - 102 = 20*w + 2*w. Sort -2, 3, 11, w, -1 in descending order.\nAnswer: 11, 3, -1, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/61 in -1\/10, 1, -82?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the third derivative of -4*k**3 + 0 - 16*k**2 + 1\/12*k**4 + 0*k + 449\/6*k**5. Let b be p(7). Round b to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*o = -5*q - 20, -87*o - 23 = 3*q - 91*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4465\/45 - ((-7)\/9 - -1). Let f = 139 - d. Does 5 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 3 - 7*u - 1)*(u + 0*u - 4*u) in the form p + x*u**2 + n*u and give n.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/60 and 53\/34134?\nAnswer: 341340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1652*q**5 - 8*q**4 + q**3 + 29904*q**2 - 3.\nAnswer: -99120*q**2 - 192*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37\/5 of a decade in months?\nAnswer: 888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of d**4 + 20*d**3 - 409*d**2 + 18*d - 8 wrt d?\nAnswer: 12*d**2 + 120*d - 818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 113242 to the power of 1\/2, to the nearest integer?\nAnswer: 337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*r + 18 = 0, -3*r - 8 - 4 = -3*i. Suppose 4*c - 47 = 3*m, 5*c - 22 = 3*m + 33. Let b = c - i. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667443 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 165 divide 20903?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 70 = -38 for p.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/(-14))\/((-12)\/(-21))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 p, and 1 r when three letters picked without replacement from xrypxxxxxpx.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*q - 1. Let g(t) = -t - 4*t - 14*t**2 + 1 + q + 15*t**2. Calculate g(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 9*b. Let d(l) = 5*l + 17. Let k(w) = -4*w - 17. Let g(s) = 2*d(s) + 3*k(s). Let p be g(-10). Let n(i) = i**2 - 5*i. Give p*t(q) + 5*n(q).\nAnswer: -4*q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + 20 - 8*j - 16)*(-5*j + 35*j + 2*j).\nAnswer: -320*j**2 + 128*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -315*l + 439. Let a(g) = -1574*g + 2198. Let o(c) = 3*a(c) - 16*n(c). What is the first derivative of o(s) wrt s?\nAnswer: 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 600 and 688.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447391044.\nAnswer: 2, 3, 569, 21841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*(-3 + 0)\/(-3). Suppose 5*b - 130 = -x*b. Calculate the greatest common factor of b and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d**3 - d**3 + 5*d**3 + 4*d**2)*(297*d + 272*d - 506*d).\nAnswer: 63*d**4 + 252*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18 - -62. What is the least common multiple of k and 36?\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6625 and 7685?\nAnswer: 265","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2306680 by 576670.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 195\/6*750026\/518635?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 56\/1946375 and 41\/20310.\nAnswer: 11678250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.2, 4, 0.03?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 28000 and -19580.\nAnswer: 8420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 1615*r + 130612. What is d(-81)?\nAnswer: -203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 53 (b) -2 (c) 710\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2 + 230*r + 30108.\nAnswer: -2*(r - 193)*(r + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 98\/56*(-216)\/(-126)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -2*z**4 + 102*z**3 + 7532*z**2 + 26952*z - 84816 = 0.\nAnswer: -38, -6, 2, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -427879000 to the nearest 100000.\nAnswer: -427900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 339 divided by -3.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 550208077 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -5108?\nAnswer: -5108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 215290975 and 136?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10301*-96.\nAnswer: 988896","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -270, -533, -796, -1059, -1322?\n\"Answer: -263*r - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 201184, 201185, 201186?\n\"Answer: y + 201183","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9202 - 2052 = 5*k. Suppose -g - k = -6*g. Calculate the highest common divisor of 26 and g.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5648160 by -27552.\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -157*z + 1415. Let n be p(9). Solve n*s + 25 = 33 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 3:03 AM?\nAnswer: 7:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/20 or 2\/15?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 417 + -381 - (-8 + 2) - (1 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28\/103 - 122\/309. Let f = 3 - 3.4. Which is the nearest to 4? (a) 3\/7 (b) o (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 33948878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -305 - -304.863. Let g = 0.8 - 1.02. Let c = m - g. Round c to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 217 divide 191936994?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -33, -32, -37, -42, -41, -28, 3, 58?\n\"Answer: p**3 - 9*p**2 + 21*p - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 - 39?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 350 or -3545?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*j + 58*j - 3. Let l be (j + 0)\/(2\/(-78)). Round l to the nearest ten.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7629.154s in microseconds?\nAnswer: 7629154000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 4079?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 10*s + 2. Let x(r) = -33*r + 10. Let m(c) = -53*c + 16. Let u(h) = 5*m(h) - 8*x(h). What is -b(n) - 8*u(n)?\nAnswer: -2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*a**2*k**3*n + 2*a**2*n + 2*a*k**3 + 5*k**3 - k**2 - n with respect to a.\nAnswer: -4*a*k**3*n + 4*a*n + 2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24184 - 24184. Let f be 2 - (-3 - 136\/(-26)). What is the smallest value in r, 0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 522 divide 499981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15189 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) - -53 - 1. Let p = 89 - w. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 75346 and 5858?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 8*g**2 - 4*g + 687. List the prime factors of l(0).\nAnswer: 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -33 (b) -2\/3 (c) 0 (d) -429 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u = -b - 4, 2*b + 6 = -2. Suppose 2*d + 5*v - 39 = 10, u = -2*v - 6. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 35, 68, 101, 134, 167, 200?\n\"Answer: 33*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52 + 51.907. Let r = 0.907 - g. Is 12 at most r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -75 = -4*y + 5. Let t = 44 - y. Does 8 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 17138.99999233 - 17139. What is w rounded to six dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1536452 is divided by 1436?\nAnswer: 1368","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -0.67, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -133.64693 to the nearest one hundred.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - z + 3)*(2 - 2 - z) + (2*z + 4 - 4)*(5*z - 3*z - 3*z) + 3*z**2 - z**2 - 3*z**2)*(-346 + 1132 + 264)*(3 + 7 - 4).\nAnswer: -12600*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-15)\/(-3)*(-1 - 0). Let p be (16\/(-10))\/4*x. Suppose -p*w + 30 + 4 = 0. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 239 = 4*g - 3*h, -5*g + 0*h + 319 = 3*h. Find the common denominator of 30\/75 + (-2)\/((-280)\/g) and -57\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1)\/((-4)\/16) - (-4 - 1). Let j be ((-2)\/t)\/(-1) - 133\/(-9). Suppose j*z - 4*z - 2035 = 0. Is z a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 2. What is the units digit of (2 - v) + (12 - -79)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 13*h**4 + 3*h**3 + 1304*h**2 - 437863 wrt h?\nAnswer: 52*h**3 + 9*h**2 + 2608*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 97024\/(-5120) - 142\/(-8)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1240\/868)\/(25\/210). Calculate the highest common factor of 1074 and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0232*85.39\nAnswer: -1.981048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g - 71. Let v be (-576)\/(-24) - 1*2. Let b be c(v). Let r = b + 570. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8864781?\nAnswer: 3, 2954927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*l + 80 = -53*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 17. Give x(7).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 5*t + o, o + 6 = 4*o. Let n(j) = -3*j**2 - 10*j + 44. Let i be n(-6). Sort i, 23, -2, t.\nAnswer: i, t, -2, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -550 + -170?\nAnswer: -740","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000100001001101 - 10101?\nAnswer: 10000100000111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -v + 15. Solve 5*b = 4*c - 1 + 4, 2*b - v*c + 3 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103274 divided by 103274.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/2, 8\/25, 0.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 - 1. Let i(b) be the third derivative of -11*b**5\/30 + 5*b**4\/24 - b**3\/3 - 99*b**2. Let r be i(o). Round r to the nearest 10.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -2*n**3 + 846*n**2 + 976*n - 54266. Calculate j(424).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2786*12043.\nAnswer: -15398.1798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -34*r - 4. Suppose n - 2*n - 2*w + 4 = 0, -10 = -n - 4*w. What is the tens digit of a(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((2 - 2) + 3)*(-4)\/12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 1553, 12530, 30825, 56438, 89369, 129618, 177185?\n\"Answer: 3659*g**2 - 2106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 39 = p + 2*x, 5*p + 2*x - 69 = 0. Suppose 13*k - 10*k = p. Solve -5*b + 3*b + 6 = 4*m, -k*b + 22 = 3*m for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.1 and -0.0441.\nAnswer: -0.04851","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 55 = -o - 30, -3*o + 43 = 5*v. Solve -v*i + 13 = 37 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23610 + 2976 + 10711 + 3627 + 20193 + 26707)*(1 - 1 + w).\nAnswer: 87824*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.9 + -5.1. Let b = 4.8 - t. Which is greater: b or -0.04?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 43, 31, 5, -41, -113, -217, -359, -545?\n\"Answer: -k**3 - k**2 - 2*k + 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -0.109618\nAnswer: 0.219236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/1269*18)\/(-2)?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 2*y + 6 = 0, 3*d = 4*d - y. Let o be (-142)\/(-4) + d\/4. Calculate the highest common divisor of 14 and o.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*n**2*y**2 + 14370*n**2 - 2*n*y**2 + n*y - 27*y**2 wrt y.\nAnswer: 30*n**2 - 4*n - 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54 = -5*k + 16*k - 14*k - 3*r, r + 15 = -10*k + 186 for k.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -u - 0*q, -3*u + 2*q = 7. Let f be 1 - u*7\/1. Which is the second biggest value? (a) f (b) -2\/13 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -294845219.26360647097293 - 5.73627652902707. Let p = 294845055 + n. Let b = 170 + p. What is b rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide ((-11)\/33)\/((-1)\/36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165191723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3*j + 12. Let n be f(-4). Suppose p + 3*g = 15, 4*p - 2*p - 4*g + 10 = n. What are the prime factors of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q - 7. Let r be f(-6). What are the prime factors of (-2 + 3)\/(r\/(-22))?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -19 + 9. Let p(n) = -8*n + 3*n - 14*n + 7*n. Let y(f) be the third derivative of -f**4\/24 + 7*f**2. Calculate b*y(c) + p(c).\nAnswer: -2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -111, -457, -1035, -1845, -2887, -4161, -5667?\nAnswer: -7405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*z**5 - 3808*z**4 + z - 346 wrt z.\nAnswer: 60*z**3 - 45696*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 93*r + 266 = 31*r + 1258 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8142\/(-1932) + (-9)\/(-2). Which is the nearest to -0.4? (a) 5 (b) 0.01 (c) s (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -326 + 333. Differentiate -124 - 2*k + 70 - f*k - k wrt k.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (3 + sqrt(20)\/(3*sqrt(10)))**2 - (sqrt(1152) + -3 + 2).\nAnswer: -22*sqrt(2) + 119\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.8.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 17874540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 smaller than -19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 e, and 1 b when four letters picked without replacement from {t: 2, q: 1, c: 1, f: 1, e: 1, b: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-5\/2)*x*x*x)\/(x**(-9)\/x))\/(x**(1\/2))**(4\/9))**35 assuming x is positive.\nAnswer: x**(6475\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -9*j + 2. Let i(f) = 10*f - 5. Let t(c) = 5*i(c) + 6*s(c). Let k(d) = 3*d + 13. Calculate -3*k(q) - 2*t(q).\nAnswer: -q - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - b + 1 = 0, -5*b + 7 = 2*u + 2. Suppose -3*k - i - 17 = u, 0 = -2*k - k - 3*i - 21. Let a = 7 + k. Solve -5*q + a*y = -y - 15, -q + 5 = -y for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.040642 rounded to 2 dps?\nAnswer: 30.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -144, -145, -150, -159, -172, -189, -210?\n\"Answer: -2*q**2 + 5*q - 147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -41.68? (a) 2\/7 (b) 5 (c) 3\/1505\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 36 + 45 - 36. Let x(i) = -5*i + 3. Let p(k) = -2*k + 1. Let s(w) = 3*p(w) - x(w). Give s(c(g)).\nAnswer: g**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, w: 6, x: 4}. Give prob of picking 1 x and 1 w.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 42 + -36. Let k(g) = 3*g - 3*g - 4*g + 5*g. Let c(h) = 9*h. Let i = -163 - -112. Calculate a*c(o) + i*k(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 100719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s**3 + s + 29. Give r(0).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 - 0.7. Let l = 0.06 + 0.24. Let t be -7 + (-3548)\/(-476) - 4\/7. Which is the nearest to w? (a) t (b) l (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and 61.\nAnswer: -30.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (81\/(-2))\/(-27)*14\/(-3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.033, -2\/15, -4, 0.1, -5.\nAnswer: -5, -4, -2\/15, -0.033, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 5:55 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 16207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 192841307 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 753635427?\nAnswer: 3, 251211809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from isisseis.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 136653 to the power of 1\/2, to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1\/13)\/(n*n*(n*n**(1\/8))\/n*n*n)*(n\/n**(-1))**(-5))\/((((n*n**4)\/n*n)\/n)\/n**(-4))**(-2\/53) assuming n is positive.\nAnswer: n**(-76617\/5512)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 + 8*v - 2. Let y be l(-9). Let j be -1 - 6\/((-2)\/(-2)). Let m be 2*j*1*-2. Calculate the greatest common factor of m and y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j = -8*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*z - 105*z = -44 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/(-7)*(-11 - -3875)\/(-8). Let f = 421 - d. Solve 6*u + 17 = -f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -113 - -67. Let o = -20 - n. Suppose -5*f + 2*f + 4*x - o = 0, 2*x = -4*f + 2. Which is the second biggest value? (a) 0.2 (b) f (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 103364238 + -66922564. Suppose -b - 5*i - 36441660 = -3*b, 2*i = -2*b + j. Let z = b - 8820835. Round z to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y - 2. Let a be k(9). Let v(p) = p + 5. Calculate the remainder when v(a) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 2*f - 3. Suppose 5*d = 5*q - 5 - 15, -f*d - 4*q + 16 = 0. Let h = 3 - d. List the prime factors of h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**28\/a*a**(-24)*(a\/(a*a**(-9\/2)))\/a**(-27) assuming a is positive.\nAnswer: a**(69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -35369*h**5 + 35596*h?\nAnswer: -707380*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -k - 2*g, 5*k + 5*g - 5 = 15. Suppose -2*r + 8 - 512 = 0. What is the remainder when 2\/8 - r\/16 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17129, 137410, 463931, 1099826, 2148229?\nAnswer: 3712274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1929329341 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -5*z**3 + 5*z**2 + 3*z - 3. Let i(c) = c**3 + c - 1. Let h(s) = -3*i(s) + w(s). What is the third derivative of h(x) wrt x?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*-4*(-20)\/(-24) + 501. Calculate the greatest common factor of 176 and m.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g**2 - 15*g. Let z be (0 - 18)*120\/(-45). Let l(c) = -z*c - 56*c + 106*c. Calculate l(w(y)).\nAnswer: 4*y**2 - 30*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 31 + -51. Let r = w + 38. Let p = -18.5 + r. What is the second biggest value in -0.4, p, 2\/3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v = 4*o + 29, -5*v + 3*o = -2*v - 24. Solve -v*w - 7 = 4*q, 2*w - 5*w = 3*q + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r + 0*r - 10 = 0. Suppose 0 = r*y + 5*y - 756. Is y a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 34*l**2 + 66*l + 63. Let h be m(-32). Is 16 a factor of -12 + h + 12 + (-1 - -576)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2955 divide 1205096389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1471?\nAnswer: 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7667 and 0.3.\nAnswer: 2300.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12666051 to the nearest integer?\nAnswer: 3559","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:20 PM and 1:59 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.017 + 5.517. Let o = 18 - 12. Which is the fourth smallest value? (a) 0.2 (b) z (c) -1\/10 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 135, 344, 691, 1182, 1823, 2620, 3579, 4706?\nAnswer: 6007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 67781 + -0.3\nAnswer: 67780.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3 and 16?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of 159524 and -0.25267.\nAnswer: 159523.74733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 13236 a multiple of 38?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 r, and 1 x when three letters picked without replacement from {w: 2, r: 5, c: 7, p: 1, d: 2, x: 3}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 6*x + 2. Let l(c) = c**3 + 14*c**2 - c - 9. Let r be l(-14). Suppose h + 3*y - 3 = -9, 5*y - 10 = r*h. Give s(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 8:44 PM?\nAnswer: 1:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2\/7 - 79822912*x\/7 - 398231080009984\/7.\nAnswer: -4*(x + 9977864)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (207525\/83010)\/((-2)\/(-8))?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14823624 by -2.\nAnswer: 7411812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(2\/22*-1). Let g(a) = -3*a**2 + 2*a - 2. Let d = -52 - -56. Let p(r) = 0 - 2 - d + 6*r - 8*r**2 + 1. What is t*g(f) + 4*p(f)?\nAnswer: f**2 + 2*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 247144125 is divided by 7392?\nAnswer: 7389","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 31901167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -14939 = 0.2414?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4*f - 20, 2*f + 0*f = 5*j - 10. Suppose 3*y - 2723870 - 6876130 = j. Round y to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2693 - -2697. What is the nearest to b in 28, -4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n*w**2 - 24*n + 4*w**3 - 3*w**2 + 5*w wrt w.\nAnswer: 10*n + 24*w - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 569.7 rounded to the nearest 10?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -2075*j + 29269. Give x(14).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 1 + 516. What is the remainder when w is divided by 27?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - 12?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 862 + -747. Suppose -1472 = 2*y - 18*y. What is the greatest common divisor of y and i?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 563, -2, 74, -7 in ascending order.\nAnswer: -10, -7, -2, 74, 563","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in fifty-seven fifths of a millennium?\nAnswer: 114","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8 - -17) + (-5 - -1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x + 27. Let u be h(-11). Put u, -3, -1\/3 in decreasing order.\nAnswer: -1\/3, -3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10736 and 176.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 PM and 2:36 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 32\/5 of a millennium?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -8938, -8926, -8914, -8902?\n\"Answer: 12*f - 8950","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 130026022?\nAnswer: -130026027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-63)\/(-387)*(76\/190 - (-48)\/(-70)).\nAnswer: -2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p**2 - p - 1. Let r be i(-1). Suppose 13*u = 39*u - 52. What is the nearest to r in u, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 8511*g - 229964. Give s(27).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 4*n**3 + 11*n**2 + 2*n + 13. Let t(x) = -2*x**3 - 6*x**2 - x - 7. Let i = -24 - -21. Let w be (35\/(-10) - i)*22. Calculate w*t(q) - 6*h(q).\nAnswer: -2*q**3 - q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = 5*b + 9 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -11*p**2 + 2 + 16*p - 2 + 10*p**2 - 1. Let t be g(8). Does 21 divide 50\/15*t\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 15) to base 9\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12304 + 20047 + 4762 = 7938*z - 7521*z for z.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2985, 2993, 3007, 3027, 3053, 3085?\n\"Answer: 3*f**2 - f + 2983","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 2*p - 15 - 3*p + 5 + 15. Let v(g) = 3*g - 18. What is 5*v(n) + 18*x(n)?\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 227 + 10 + (1 - 1). Let d(n) = -471*n + 237*n + w*n. Let v(a) = 49*a**2. What is d(v(s))?\nAnswer: 147*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -122 + 147. Suppose y*i = 22*i + 3411. Is (i - (-4)\/4)*1 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 1836.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 12 = -3*v. Let y be (-3)\/v - (-27 + 0). Suppose 5*u + d - 2*d - y = 0, 4*u + d - 19 = 0. Solve -x - 18 = -4*z, 25 + 5 = 4*z + u*x for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0911 - 4.2249. What is r rounded to 1 dp?\nAnswer: -4.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -84621 (base 9) in base 11?\nAnswer: -39007","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 9:40 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + (-2442)\/(-486))\/(-4 + (-55)\/(-15))\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 246724685.\nAnswer: 5, 49344937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fifty-two fifths of a litre?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22210022 - 2122?\nAnswer: 22200200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bcc when three letters picked without replacement from ccb?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**3 - 6*m**2 - 6*m + 4. Let a(r) = r**3 + r**2 + r - 1. Determine 4*a(c) + u(c).\nAnswer: 2*c**3 - 2*c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 80631624?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - 4)*1\/(-6). Let g be (0 - 12)\/(-17 - 605\/(-22)). Is n less than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 51*g - 10. Let q be o(13). Solve 3\/2*f**q + 5\/2*f**2 - 2*f**5 - 5\/2*f**4 + 0 + 1\/2*f = 0 for f.\nAnswer: -1, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1 + sqrt(125)*-6)*6)**2.\nAnswer: 77760*sqrt(5) + 5833296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 bigger than -20\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3360 + -3359.984395. Round m to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 202871 + -7?\nAnswer: 202866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 635683*s**3 - 180398*s.\nAnswer: 3814098*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.083 - -0.072. Let z = m + 5.011. Let d = 3 + -7. Which is the nearest to 5? (a) z (b) -0.4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 10:46 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.6? (a) -3813 (b) -4\/3 (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2873103*0.8.\nAnswer: -1.02984824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34390?\nAnswer: 2, 5, 19, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -7*g + 1. Let i be q(16). Let b = -92 - i. Does 8 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 times -55498?\nAnswer: 166494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 823, 844, 865, 886, 907?\n\"Answer: 21*r + 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 808 divide 3193982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 72647 is divided by 36306?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -120*h**3 + 118918*h**2 + 1986*h - 3969. What is o(991)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -4*j**2 - 5*j. Let g(u) = 92*u**2. Determine c(g(x)).\nAnswer: -33856*x**4 - 460*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 3, j: 1, y: 1, d: 1, p: 1}. What is prob of sequence ywj?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-8)\/(-16)*2308 + 4?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ciiicliciiilclic. Give prob of sequence cic.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/12*(-14)\/(-8). Let a be (-4)\/8 + (-86)\/(-24). Let v = a + x. Is v bigger than 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/3)\/((-8)\/60). Let f = -5007 - -5009. Suppose -l*j + 6 = z - 12, -f*z - 8 = -j. Solve -3*y + 2*y + j = 0 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (309\/559496*97)\/(-3).\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6996 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -12791?\nAnswer: -91\/12791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 18372288 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 6*s**2. Let o(k) = 3*k - 8. Determine g(o(v)).\nAnswer: 54*v**2 - 288*v + 384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -19*w**2 + 135*w - 136. Let u be o(1). Let v(b) = -2*b + 28. Let s(g) = -g + 27. Let k(q) = 3*s(q) - 2*v(q). Let h be k(u). Sort h, 2, 4.\nAnswer: 2, 4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 5 and 4910458228.8406.\nAnswer: 4910458233.8406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 261179673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a microgram in nanograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -7*x**2 - 15*x + 13. Let m = 248 + -245. Let p(d) = -9*d**2 - 15*d + 12. Let t(h) = m*p(h) - 4*l(h). Factor t(r).\nAnswer: (r - 1)*(r + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 = 2*g, 0 = -4*q + 3*g - 4 + 24. Let a(t) = -6*t - 1. Let o(m) = m - 1. Let k(s) = -a(s) - 5*o(s). List the prime factors of k(q).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + 146323?\nAnswer: 146324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m - 3. Let y be p(6). Suppose -26 = -5*j - 3*a, y*a + 2*a = 3*j - 2. Is 7 a factor of 10\/8*j*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 a factor of 42221861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9123*c - 701660 = -108665 for c.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 77 = 27. Let s = x - 24. Solve 0*g = -s*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y\/((y*y**(-44))\/y))\/y)\/y*y)\/y)\/y**(6\/5)*(y\/(y*y\/y**(7\/5)))**(-2\/3) assuming y is positive.\nAnswer: y**(638\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f**3 - 13*f**2 + 32*f - 46. Let t be y(-15). Let m be 95\/t + 123\/108. Which is the fourth smallest value? (a) 2 (b) 0.5 (c) -0.3 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 + 3012?\nAnswer: 3089","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 8) in base 11?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.9799 + -1.9776081. What is s rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -4*m**5 - 8404*m**4 - 3687592*m**3 - 603185792*m**2 - 33717499904*m + 34324381696 = 0?\nAnswer: -1574, -176, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -26. Let d = s - 31. Suppose 0 = 3*p - 4 - 2. Put d, p, -1 in decreasing order.\nAnswer: p, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37301.\nAnswer: 11, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20930677 is divided by 102601.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*m + 108 = 10*m. Let f be (4\/(-5))\/((-2)\/(-60)). Let a = f + m. What is a rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 15, z: 3}. What is prob of picking 1 w and 2 z?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.9 from 89053.\nAnswer: 89070.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 6 = 6*w. Suppose 3*p = w*p + 3. Let c(i) = -2*i - 5. Let o be c(-4). Are o and p unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(1911) + sqrt(1911)*-2) - sqrt(1911))\/(2*-1*sqrt(363)).\nAnswer: -14*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence du when two letters picked without replacement from uddududdud.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4102 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v + 11. Let r be m(8). Suppose 14 = 2*n + r*n + y, 4*y - 5 = -3*n. Suppose -4*w - 20 - 40 = -2*j, n*j - 2*w - 106 = 0. Is j a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2 + 81561*v - 163118.\nAnswer: -(v - 81559)*(v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (58\/((-7134)\/41))\/((-8)\/236*(-1)\/(-6)).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 340709491 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and 37739?\nAnswer: 37739","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -9 - -13 - (8 - 1). Let h be (6 - 10)\/(-1 + 0). Suppose -23*t = -24*t + h. Put j, t, -2 in decreasing order.\nAnswer: t, -2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*r + 33*r - 33 = -3*w, 4*r = -w + 11. Solve w*a + 36 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -fb - 2?\nAnswer: -fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -324 - 25*w + 341 - 25*w.\nAnswer: -50*w + 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.06 > 57?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/6461235 and 122\/15076215?\nAnswer: 45228645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28*t + 57*t + 34*t)*(3 + 1 - 2).\nAnswer: 238*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -15\/104?\nAnswer: -15\/104","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -262*r + 8198 + 4722 = -72*r for r.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve s**4 + 360*s**3 + 717*s**2 + 358*s = 0 for s.\nAnswer: -358, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 2)*(2233944*s + 476*s**5 - 2233944*s) - s**5 + 3*s**5 - s**5.\nAnswer: 1429*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-5 - (-15 + 5)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4\/1409 - -2846\/9863. Let a(x) be the first derivative of 1\/7*x**4 + 0*x + 8\/21*x**3 + c*x**2 - 24. Factor a(t).\nAnswer: 4*t*(t + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -189\/43 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12\/277 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*122.67661\nAnswer: -36.802983","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qpx when three letters picked without replacement from qpqqpmqxqpqqxqqxxqp?\nAnswer: 80\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101437376?\nAnswer: 2, 1584959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 149838327 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -24 - -36. Let n be (-2)\/r*-7 - 3. Let w = n + 7\/6. What is the closest to w in -0.5, -2, 3\/7?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 729\/2 + 1\/2*r**2 + 27*r = 0. Calculate r.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25.949 times -0.4\nAnswer: -10.3796","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((14*b**2 + 7*b**2 - 3*b**2)*(-4 + 2 + 1) + b**2 + b - b)*(-47*b**3 - 33*b + 33*b).\nAnswer: 799*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7*c*j**2 + 50*c*j + 146*j**4 + 2*j wrt j.\nAnswer: 14*c + 1752*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = g - 4. Suppose 6 + 15 = 2*f - 5*u, -21 = -5*f + g*u. Let m be (-1)\/(1*f\/(-6)). Solve -m*c = c + 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, 1, -1\/32, 2\/9?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gb when two letters picked without replacement from {g: 1, q: 8, b: 10}.\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 20, 3, 1 in increasing order.\nAnswer: -1, 1, 3, 4, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 31.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - 2) + 14\/7. Suppose w*h - h = 15. Let n = h - 11. Solve 0 = n*p - 11 - 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -33*y + 2073. List the prime factors of t(0).\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -5*r**3 - 21*r**2 - 5*r + 4. Let c be x(-4). Suppose -3*p + c*p = 315. Suppose 5*b = 52 + p. Calculate the remainder when 89 is divided by b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*o + 5 = -p, 2*o + 1 = 3*p. Solve -o*d + 8 = 2*i + 2*i, d = 5*i - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + 2\/(-3))\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6897 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 - (-61 - 10 - 3).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 28 = 422. Suppose 2*a + r = 5*a. Calculate the highest common factor of a and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/37104 and 13\/11718680?\nAnswer: 70312080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5148565 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 - -29. Let d(b) be the third derivative of g*b + 0*b**3 - b**2 - 1\/120*b**6 + 0*b**4 + 0 - 1\/30*b**5. Find the third derivative of d(v) wrt v.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in l + 4*l - 3*l - 63*l**3.\nAnswer: -63*l**3 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 2. Let h be j(-3). Suppose -3*x + h - 214 = 0. Round x to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 6. Let r be v(6). Suppose -2*z = -5*a + 50, -5*a + z + 50 = -r*a. Let q = 14 - a. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 2000?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 4*f**3 - 2*f**2 - 3*f + 12. What is h(4)?\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2627*x. Let n(q) = -37868208*q. Give -28831*l(h) + 2*n(h).\nAnswer: 2621*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**2 - 30*b + 30*b - 23*b**2.\nAnswer: -14*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22412088 or -22412080?\nAnswer: -22412088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77361663?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**2 + n**2 - 2*n**4)*(-2 + 4 - 1) + (4013*n + 10196*n**2 - 4013*n)*(-2*n**2 - 2*n**2 + 3*n**2).\nAnswer: -10198*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + c = 35, 107 = 5*h - 2*h + 5*c. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 303 - 308. Calculate the remainder when (h + 34)\/(2\/6) is divided by 29.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-24)\/3 - (-49 - -43). Let f(y) = -y**3 - 5*y**2 + y + 6. Let t be f(-5). Let z(x) = t - x**3 + 2*x + 0 + 0. Calculate z(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*o = -10. Let s(p) = -p**2 - 6*p - 5. Let i be s(o). Solve -4*f = -i*f - 4 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -170408\/27 + 6313. Let d = -1\/4068 - -5435\/44748. Find the common denominator of s and d.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*h - 193 = -76 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 + 15 = -2*t - 5*n, 9 = 5*t + 3*n for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-2) - (-24)\/8. Suppose 4 = -z*i + i. Solve i = -2*m - 6 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366.8227 decades in months?\nAnswer: 44018.724","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 178 = 2*h - 256. Solve 41*p = 2*p + h for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114263 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12303097 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 120 = 23*z - 18*z, z + 5*b - 24 = 0. Let d be (-1 - 25\/(-10))*2. Suppose d*l + 5*w - 41 = 0, 129 = 5*l + 3*w + 34. Which is greater: l or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**2 - 246*q - 4185. What is g(-16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + 0*i + 9 = 0. Suppose i*p = 11*p - 4. Let j be 7*((-36)\/(-14) - p). Solve x - 7 = j*x - 4*u, -2*u = -x - 1 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the second derivative of -p**4\/2 - 13*p**3\/3 + 2*p**2 - 9936*p. Let k(a) = -5*a**2 - 25*a + 3. Calculate 5*k(s) - 4*q(s).\nAnswer: -s**2 - 21*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = -3*o + 4*o - 4029, 0 = -2*y + 10. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**18\/(k\/((k*(k\/(k*k\/k**9))\/k)\/k)))\/(((k*(k*k**(11\/3))\/k*k*k)\/k)\/(k\/((k**1\/k)\/k*k))) assuming k is positive.\nAnswer: k**(58\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13273 - 13454.51. What is h rounded to the nearest 10?\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -8. Let t be (0 - (-41 - 0)) + o. Suppose 2*b = 2*n - 2*b - t, 2*n - 3*b - 44 = 0. Is n a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**5\/40 + x**3\/3 - x. Let m(a) be the second derivative of i(a). Let q = -11 + 7. Let j(d) = 2*d. Give q*j(r) + 3*m(r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - k - 1. Let t(z) be the third derivative of z**5\/20 - 5*z**4\/24 - 4*z**3\/3 + 22*z**2. What is 6*r(h) - t(h)?\nAnswer: 3*h**2 - h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 10*c + 91 = -5*c, 0 = 4*c + 28. Solve -10*z + 3*z - y = 0 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.476 * -0.1.\nAnswer: 0.0476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 8*l**2 + 7*l. Calculate the least common multiple of k(-1) and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x + 103. Let c be u(-30). Solve 11 = 3*i - 3*h - 10, -i + 3*h = -c for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 369753?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 3, 1, 0.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4681511402 to the power of 1\/3, to the nearest integer?\nAnswer: 1673","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 11:13 AM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4490.69 - -4461. Let y = -0.69 - n. Let z = y - 31. What is the second biggest value in z, 2\/5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, x: 1, z: 1, n: 1, c: 1}. Give prob of sequence cx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wjjellcweljjll. What is prob of picking 1 j and 1 l?\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 (base 10) in base 11?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 28\/(-6) + 4\/6. Let h = i + 4. Suppose h*k - r = -3*k + 20, -2 = k + 4*r. Solve 12 = 4*t + 2*y, 0 = 4*t + 5*y - k for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 8:45 PM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -0.025 - 1495.303\nAnswer: -1495.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11 + -12. Let j = -0.99919 - q. What is j rounded to 4 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.06, 0, 0.04, -0.07 in ascending order.\nAnswer: -0.07, 0, 0.04, 0.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -379? (a) -352 (b) 2\/5 (c) 5 (d) -3.5 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 3:16 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2924*g - 2928*g + 13*g**3 - 4*g**3 + 5851*g + 9*g**2 + 4*g**4 to the form s + t*g**4 + l*g**2 + c*g + x*g**3 and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 12*o - 14*o + 13, 0 = -4*o - 2*g + 18. Suppose -2*p + 14*v + 2 = 13*v, -2*p + 12 = o*v. Solve -3*q = 3*l - 18, -2*l - 5*q = p*l - 27 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 254 and 1574.\nAnswer: 199898","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1203?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -1, 3, 2 in increasing order.\nAnswer: -3, -1, 2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 375*b + 359. What are the prime factors of x(-91)?\nAnswer: 2, 3, 29, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24*47\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**4 + 3*v**4 + 0*v**4 + (-v**2 - 4*v**2 + 3*v**2)*(-2*v**2 + v**2 + 0*v**2) + 0*v**4 - 6*v**4 + 0*v**4.\nAnswer: -3*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/9? (a) -5 (b) 0.3 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0*-1*8\/(-16)*-2. Put 2, 7, k in ascending order.\nAnswer: k, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-56)\/(-13) - (37 - 33). Let w be (2\/1 - 2)\/(-1). Which is greater: h or w?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the second derivative of -t**4\/12 + 3*t - 1. Let m(w) = 12*w. Give m(b(g)).\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2882884 a multiple of 196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(171) - sqrt(171)*-4))\/(1*sqrt(81) - sqrt(9)) + 2*((sqrt(171) - (sqrt(171) + -2))*4*-3)**2.\nAnswer: -10*sqrt(19) + 1152","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 459966 divided by -39.\nAnswer: -11794","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 4417260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621666582.\nAnswer: 2, 3, 181, 572437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 46777 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 4079*t**2 - 2049*t**2 - 2075*t**2 - 3 + 3. Let a(h) = 31*h**2. Calculate a(i(z)).\nAnswer: 62775*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 24 - 14. Let r be 0*(q\/4 - 2). Which is the nearest to r? (a) -1 (b) 0.2 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 - 2) + (-7)\/(-1). Let h be p\/((-2)\/((-16)\/(-12))). What is the nearest to h in 3, 1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2515 + -2503. Let i(c) be the first derivative of -x + 3\/2*c**2 + 0*c. Let p(o) = -11*o. Give i(p(w)).\nAnswer: -33*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) -6 (c) 5 (d) -38 (e) -1.1 (f) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-602)\/(-3) + 2\/12*-4. Suppose -s + 197 = 4*y, 4*s = 4*y + a + 668. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 2 = 4*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/5*60\/18. Suppose -3*a = 5*s - 541, -h*a + 28 = 2*s - 334. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 151*s - 705. Is 37 a factor of v(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18501?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -3*y, -5*y + 4 = 5*r + 9. Let b(w) be the second derivative of 0*w**4 + 0*w**3 + 0 + 1\/50*w**5 + 0*w**y - 2*w. Solve b(o) = 0 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - 372?\nAnswer: -363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s + s - 3*s)*(2*s**2 + 3*s**2 - s**2)*(-14 - 2 + 2 + (0 - 3 + 5)*(3 - 1 - 4)) to y*s**3 + b + o*s**2 + m*s and give y.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 bigger than 39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16a2 - -3ae?\nAnswer: 1a61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 54597.75 micrometers?\nAnswer: 54597750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z**2 + 4*z - 4. Let q(i) be the first derivative of -5*i**3\/3 - i**2 + 2*i + 1. Let v = 10762 + -10764. Give v*d(w) - 5*q(w).\nAnswer: 3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 120262484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:52 PM and 1:59 AM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -736049, -1138 in descending order.\nAnswer: -3, -1138, -736049","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 24\/60 - (-160)\/(-25)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + a - 1. Let v be f(2). Suppose -3*n = 2*k - 94 - 1, 0 = -v*n - 3*k + 160. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 76*r + 18 = 80*r, -4*r = z - 27. Let x = 2.1 - 2. What is the nearest to -2\/7 in z, x, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.023345 to 2 decimal places.\nAnswer: 6.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-153) - (576\/68)\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30317544 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -63273 + 24005. Round w to the nearest 100.\nAnswer: -39300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 29a1646 + -1?\nAnswer: 29a1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-148)\/(-5) - 4\/(-10). Suppose -2*m + 25 = m - 2*x, -3*x - 15 = 0. Suppose i + 4*c = 45, -5*i - m*c + 58 + 107 = 0. Do i and u have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1339, -4588, -9999, -17572, -27307, -39204?\nAnswer: -53263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*j - 0*j - 5*c - 3390, 2717 = 4*j - 5*c. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - a = 4, 8 = -u - 0*a - 2*a. Suppose 34*j - 79 - 57 = u. Solve -2*r + j = 10 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668249819 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-55 - -52) + 34 - 60\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x. Let t(w) be the third derivative of -w**8\/20160 - w**5\/20 + 3*w**2. Let y(i) be the third derivative of t(i). Calculate a(y(z)).\nAnswer: -z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(1\/3))\/w*w)**(28\/5)*(w*w**2*w)**(-31\/5) assuming w is positive.\nAnswer: w**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30843 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.24 + -0.23. Let k = r - -0.49. Let l = -0.36 - -0.06. Sort 2\/15, k, l.\nAnswer: l, 2\/15, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3893 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -847 - -951. Find the first derivative of -49 - 174 - q*k + 2*k**3 - 3*k**3 + 108*k wrt k.\nAnswer: -3*k**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1375, -2753, -4129, -5503?\n\"Answer: t**2 - 1381*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t - 2. Let i(r) = -4662*r + 393. Let s(j) = -i(j) + 2*p(j). Is s(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-3)*9\/(-4). Let x(z) = -3*z**3 - 6*z**2 + 2*z + 6. Let o(k) = 7*k**3 + 3*k**3 - 4*k - 11 - 5*k**3 + 11*k**2. Give v*o(j) + 11*x(j).\nAnswer: -3*j**3 - 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -9\/26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1651 or 238?\nAnswer: 238","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -56 or -58?\nAnswer: -56","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-9*x**2 + x**2 - 11*x**2 + 32*x**2)*((-2 - x + 2)*(2 + 2 - 5) + 8 - 8 - 2*x) to the form z*x**3 + q*x**2 + w*x + g and give z.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -548 + 174 + 173 - 10*s - 128*s + 201.\nAnswer: -138*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -6. Let r = 0.13 - -4.87. Which is the closest to -0.1? (a) 3 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21230431 (base 8) to base 9\nAnswer: -8471212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 213, 2, 7, 4, -5 in decreasing order.\nAnswer: 213, 7, 4, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 278, 552, 822, 1088, 1350?\nAnswer: 1608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.67? (a) -3\/8 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 - 8 + b + 0*b + 3*b. Let q be l(5). Let w = 2 + q. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 100011 (base 2) in base 13?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -86b688 (base 12) to base 8.\nAnswer: -10112010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*-2)\/(30\/20).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvam. What is prob of sequence avv?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 33\/10 of a minute?\nAnswer: 198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 - 13*g**2 + 26*g - 11. Let w = -81 - -92. Let b be c(w). Suppose 7*u = 6*u + b. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*v = -620 + 74. What is the highest common factor of 104 and v?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*y - 7*y. Sort y, -5, -1, 1.\nAnswer: -5, y, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + 0 + 1*sqrt(17)).\nAnswer: -6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n + 1. Determine d(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 153 a factor of 2817?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v + 700 = 2*v. Let u = v - 66. Suppose s + 474 = 5*w, -3*w = s - u*s - 282. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - 15*p - 17. Let s be j(15). Let c = 7 + s. Let u = -8 - c. Solve 0 = 2*m + 4*h - 4, 2*h = 5*m - 0 + u for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7367307 (base 8) to base 7.\nAnswer: -22450105","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 + 26 = 0. Suppose u = 2*u - l. Let x(a) = a**3 - 6*a**2 + 3*a - 3. Does 10 divide x(u)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 50 in 87, -1\/10, 2\/13?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -19 or -492\/25?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -3*h - 3. Let v(u) = -2*u - 2. Let s(k) = 2*k**2 - 28*k + 5. Let p be s(14). Suppose 1 = g + p. What is g*v(i) + 3*o(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h + 5*h - 3*h + (-3*h + 4*h + h)*(-1 - 4 + 0) - 4*h - 5*h + 4*h + 2*h + h - 7*h.\nAnswer: -18*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3*sqrt(245) + 4)*6*-4.\nAnswer: 480 + 2520*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c + 20*c - c**2 - 34*c.\nAnswer: -c**2 - 41*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 = -118*w + 560 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2*z**2 + 452*z + 1778. Calculate n(-222).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p**3 + 34*p**2 + 41*p - 267. Let h(l) = l**3 + 4*l**2 + 5*l - 33. What is 2*f(j) - 17*h(j)?\nAnswer: -j**3 - 3*j + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -69923 or 1?\nAnswer: -69923","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -57 + -658381072985.\nAnswer: -658381073042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3806 + 10834. What is the greatest common divisor of g and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*t**3\/3 - 6128*t**2 - 14076014*t + 84529636\/3 = 0. Calculate t.\nAnswer: -4597, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 14936358 - -293?\nAnswer: 14936651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -3260.395.\nAnswer: -1304.158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 21\/6 + (-15)\/(-2). Suppose r = -j + x, -70 = -5*j - 0*r + r. What are the prime factors of j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 245 - 111. Suppose -4 - d = -p + 3*k, -446 = -3*p + k. Calculate the remainder when p is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12626 (base 9) to base 14.\nAnswer: 3173","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 2 p, and 1 s when four letters picked without replacement from {y: 1, m: 1, l: 3, s: 1, v: 2, p: 5}?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 47*c**2 - 93*c + 113. Give z(45).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -364 or -365?\nAnswer: -364","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/9? (a) 19.4 (b) -21 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 0 - -2512?\nAnswer: 2512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the second derivative of -v**3\/2 + 2*v**2 + v. Let d be f(3). Let j = 0.36 + -0.26. What is the nearest to j in 1\/4, d, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2909)\/(-6))\/((-2)\/6). Suppose 0 = -34*d + 36*d + 2964. Let y = g - d. What is the common denominator of 43\/22 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1d7 - a3392?\nAnswer: -a3199","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 40 and 1970032?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 2148\/781?\nAnswer: 2148\/781","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 0 + 2 + 1 + 3*u**3 + 7*u**3 wrt u?\nAnswer: 30*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + r + 1. Let b(d) = -4*d**3 - 21*d**2 - 181*d - 3. Let p(a) = b(a) + 3*q(a). What is the second derivative of p(w) wrt w?\nAnswer: -6*w - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 242.163nm?\nAnswer: 0.242163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 1 - (-144)\/4. Let c = t - 22. Let o be (12\/c)\/(2\/5). Solve 2*i = 4 + o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/9*(1 + (-60)\/42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/812 and -85\/2759988.\nAnswer: 2759988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l + 15. Let o(x) = 3. Give -11*o(f) + 2*v(f).\nAnswer: 2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -25.39 + 2.39. Is l < -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfdffvfffvdf. What is prob of picking 2 v?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 0.3, -6, 0, -3.6, 442?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 117. Let a be ((-4)\/12)\/(2\/12) + -47. Let p = j - a. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45986.\nAnswer: 2, 22993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-18 + 8) - (-27)\/15.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -f + 1, w = 3*f + f + 6. Let l(u) = u**2. Let o(g) = 6*g**2 + g + 2. What is f*o(m) + 5*l(m)?\nAnswer: -m**2 - m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -30, 14, 0.1 in descending order.\nAnswer: 14, 0.1, -0.1, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 - 56. What is the nearest to -16 in d, -0.1, -0.2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 2*s - 6 = 0, 0 = -3*o + 4*s + s - 19. Suppose -a + 9 = -n + 23, -5*n = -o*a - 31. Which is bigger: 1 or a?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1137 by 42.\nAnswer: 379\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 21\/2 of a millennium?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -14*m + 41. Suppose -m*k = -2*d - 14, 5 = -d - 0*k + k. Let l(x) be the second derivative of -5*x**3\/6 + x. Determine l(d).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*((s*s**3*s)\/s)\/s*s**(-1))\/(s**0\/s*s*s**(2\/3)))\/(s**(-2\/5)*s**(-1\/3)*(s**0)**(-5\/13)) assuming s is positive.\nAnswer: s**(46\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-2)*-9*14. Suppose 3*m - 39 = -3*r, -2*r - 93 = -0*m - 5*m. Let q = -10 + m. What is the highest common divisor of q and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 23 and 251055 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert abb4 (base 13) to base 3.\nAnswer: 1012220000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) be the second derivative of 1\/15*g**3 + 0 + 0*g**2 - 3*g + 1\/30*g**4. Determine p so that l(p) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2296 + -2289. What is the greatest common factor of l and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-8 - 2)*2. Let y be (-20)\/(-12) - f\/(-3). Solve -y*a = -5*a + 3 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -67467672 divided by -319752.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 + 1)\/(4 - 2). Suppose 4*o - 28 - 8 = h. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 9\/(-5)*10\/(-3). Let s(j) = 3*j**2 - 6*j - 8. Is s(v) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -39*u + 2529. Calculate the smallest common multiple of a(64) and 5*((-32)\/(-10) - 2).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.08*11.454\nAnswer: 0.91632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the first derivative of 0*u**5 + 0*u**2 + 0*u - 4\/15*u**6 - 86 - 2\/15*u**3 + 3\/10*u**4. Factor h(k).\nAnswer: -2*k**2*(k + 1)*(2*k - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1089*x = 8307 + 6798 + 33900 for x.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 90 a factor of 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3, 200, 541, 1032, 1679?\nAnswer: 2488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (5 + 1 - (-3 + -27 + 8))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 3*o - 104. What is t(33)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1930 + 1925. What is the second biggest value in -0.05, i, 0.2?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -232, 1\/4, 2941, 0.2 in descending order.\nAnswer: 2941, 1\/4, 0.2, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (5 - 66\/18)\/((-4)\/(-18)). Suppose -k*b = 18*b - 384. Let v = 23 - 14. Calculate the remainder when b is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 23 + (4 - 4\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 211.2 and -164?\nAnswer: -34636.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-201)\/(-39) + 8\/(-52). Which is the nearest to 1\/3? (a) d (b) -0.3 (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -90*s**5*y + 10*s**5 - s**3*y - 12621*s**2*y wrt s?\nAnswer: -5400*s**2*y + 600*s**2 - 6*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -51, -128, -205, -282?\n\"Answer: -77*f + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8364263101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (9 + -5) - -9?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -365322, -365337, -365352, -365367, -365382, -365397?\nAnswer: -365412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1035 + -316. Suppose -3*t = -j - 613. List the prime factors of t.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33010 (base 4) in base 5?\nAnswer: -12324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-2)*1*-2)\/((-7)\/(-35))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -240*b. Let w(a) be the first derivative of 48*a**2 - 4579. Calculate 5*j(x) + 12*w(x).\nAnswer: -48*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from {y: 7, h: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*r - 14. Let m = r + 7. Suppose i = -m*i + 12. Is 12 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6)\/(-21) - (-25)\/126*-2. Sort 0.5, 2, a in ascending order.\nAnswer: a, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 285. Let p = -22103 - -22162. Is v at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-215 - 211 + 429 + 12*f)*(-1 - 6 + 3)*(-2 - 8*f**2 + 2) in the form i + v*f + q*f**2 + t*f**3 and give q.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5142.80549 - -5142.341386307. Let a = g - -0.4641. Round a to seven decimal places.\nAnswer: -0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 64 = 72*q. Let a(m) = m**3 + 2*m**2 - 1. Let p be a(1). Let k be (2 - 0)\/((-4)\/10). Sort 5, q, k, p in ascending order.\nAnswer: k, q, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*c**3 + 0*c**3 - 7*c**3 + 0*c**3 - 29 + 3*c + 0*c**3 - c**2 to the form j*c**3 + t + q*c + d*c**2 and give t.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + -4)\/(1\/8). Let p = -25 - y. Let o = 23 - p. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*(-4)\/(-190))\/(((-108)\/30)\/(-9)).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h - 4. Let n(v) = 58*v**2 - 1. Is 19 a factor of n(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1074d7 + 43?\nAnswer: 10753a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(1\/(3 - 2)). Let d(m) = -m**3 - 3*m**2 - 3. Calculate d(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -10*h**2 + 1322*h + 6563. What is f(137)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 11107121 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -67 + 95. Suppose -10*m + h = -32. What is the third derivative of 9 + 7 + 16*p**5 + 2 - 42*p**2 + 2*p**m - 16 wrt p?\nAnswer: 240*p**3 + 960*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.148 - -1.852. What is the second biggest value in -5, 0, 0.1, b?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**2 - 9*l - 10. Let o be p(-7). Let t(h) = h**2 - 4*h + 5. Let v be t(o). Suppose 5*d - m = 21, -v*d + 41 + 4 = 5*m. Solve -d*z + 19 = 4 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.1904 * -3\nAnswer: 6.5712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 860943?\nAnswer: -4\/860943","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -100881 divided by -6.\nAnswer: 33627\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 849440311 to the power of 1\/5, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -280, -272, -252, -214, -152, -60?\n\"Answer: j**3 + j - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(38)\/(sqrt(32)*2) - (sqrt(171)*1 + sqrt(95)\/sqrt(5) + sqrt(19) + -4))*-6.\nAnswer: -24 + 117*sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hqy when three letters picked without replacement from qphyqhiypqqippyppq?\nAnswer: 5\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -154, -491, -1400, -3163, -6062?\n\"Answer: -47*a**3 - 4*a**2 + 4*a - 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1388*q**5 - 461*q**5 + 357*q**5 - 645*q wrt q?\nAnswer: 25680*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*z**3 + 14182840*z**2 - 12572059404100*z = 0. What is z?\nAnswer: 0, 1772855","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 122559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 936?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2. Let i = 580 - 578. Calculate u(i).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4504 divided by 563.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7264435.\nAnswer: 5, 23, 181, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1650 and 14?\nAnswer: 11550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -148, -278, -384, -466, -524, -558?\nAnswer: -568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 45 = n. Find the third derivative of j**3 - 21*j**2 + 19*j**6 + 9*j**n - j**3 wrt j.\nAnswer: 3360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -389, 1, -5, 768.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k. Let d be n(-2). Suppose 0*j = -4*o - 4*j + 112, 0 = -d*o + j + 59. Calculate the remainder when o is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21.87 + 131.57. Let p = 110 - l. Which is the fourth smallest value? (a) 8 (b) -1 (c) p (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 352 - 103. Suppose -2 = 4*j - 14. Suppose -2*i = k - d, -2*k + 3*k = -j. What is the smallest common multiple of i and 12?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 130?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 5*g + 1. Let k(h) = 4*h + 13. Let r(s) = -k(s) + z(s). Calculate r(10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 61642 and 1180004.\nAnswer: 8260028","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 11. Let u = m + -19. Which is smaller: u or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*s - 6*s = 0. Which is greater: s or -1\/32?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -38681.754 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -m**3 + 0*m**3 + 4 + m**3 - m**3 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 806, -2, -1, 2\/795 in descending order.\nAnswer: 806, 2\/795, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -311, -2315, -7683, -18095, -35231?\nAnswer: -60771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.53799 to two dps.\nAnswer: 16.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 3 - 1)*(93 + 91*o + 55 - 134) to d*o + f and give f.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, o: 3, k: 3, y: 2, z: 3, j: 2}. Give prob of sequence xzjk.\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1499 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -136, -97, -32, 59, 176?\n\"Answer: 13*t**2 - 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 9? (a) 5 (b) -2 (c) -0.1 (d) 0.3 (e) -101\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -4*w**3 + 5063*w**2 + 16492*w + 6349. What is j(1269)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 124631 or 124677?\nAnswer: 124631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7*0.44\nAnswer: -3.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -b**3 + 3*b**2 - 57*b + 282. Give m(5).\nAnswer: -53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3937*x**3 + 3504*x**3 - x - 2*x.\nAnswer: -433*x**3 - 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -59\/595 and -83\/8922795.\nAnswer: 151687515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**2 + 6*d + 12. Give y(17).\nAnswer: -175","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -o + 4. Let i be g(-3). Suppose 14*j - 25 = 9*j. Suppose 5*d + i*l - 50 = 2*l, j = 3*d - 2*l. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-96)\/(-5))\/4)\/((-2)\/70)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 6 * 6\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16632 and 56.\nAnswer: 16632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kusvt. Give prob of sequence vk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 384 is divided by ((-8)\/(-20))\/(48\/1080).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 38029, -2, 30 in increasing order.\nAnswer: -2, 30, 38029","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.09 + 5.09. Let d be (10\/3 - 3)*-1. What is the nearest to d in 1\/4, c, -5\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3655800 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 12*y + 11. Let n(g) = 2*g + 2. Suppose 3*f = 4*f - 34. Let b(r) = f*n(r) - 6*t(r). What are the prime factors of b(-3)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 193.66 - 198. Let q = 2.53 + z. What is q rounded to 1 dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 2*j**3 + 3094*j**2\/3 + 132784*j - 44376 = 0.\nAnswer: -258, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = -3*d + 2*j, 4*d + 121 = -5*j - 115 + 284 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*y + 16 = -40. Let i be y + -3 + 0\/(-3). Suppose 2*x - 4*l - 6 = -6*l, -4*x = 5*l - 13. Which is smaller: i or x?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1\/263 + 523\/789. Let 0 + 0*o**2 + 2\/3*o - q*o**3 = 0. Calculate o.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3242226 and 65832?\nAnswer: 12968904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1427190.\nAnswer: 2, 3, 5, 113, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -230.3864 to zero dps.\nAnswer: -230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -64 + 64.065. Let q = 1.965 - p. Which is smaller: -1\/5 or q?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -32302001002 (base 4) to base 16\nAnswer: -3b2042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w = -5*w - 3*l - 57, 3*l = 5*w + 63. Let y be 22*(6 - (-78)\/w). What is the nearest to -1\/4 in y, -3, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1105073402?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*h**3 - h**3 - 3*h - h**3 + 5*h to r + z*h + f*h**3 + q*h**2 and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 209608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -d**3 - 7645*d**2 - 1503486*d.\nAnswer: -d*(d + 202)*(d + 7443)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the first derivative of -12*r**3 + 32. Let z(f) = -f**2. Calculate z(b(t)).\nAnswer: -1296*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (13 + -22 - 6)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-748 - 140*b + 748)*(0*b**3 + 2*b**3 - 29*b**2 + 24*b**2).\nAnswer: -280*b**4 + 700*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i + 14265 = 11*i. Is i\/21 + -2*3\/21 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3881 rounded to the nearest one hundred?\nAnswer: -3900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -m + 3. Solve -10 = i - m*p, 6*i + 2*p + 10 = 2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 5*s**2 + 10*s + 29. Let q be y(-4). Let a be ((3*-4)\/(-2))\/(q\/92). Which is smaller: 31\/4 or a?\nAnswer: 31\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -318726.\nAnswer: 2\/159363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/12 and 115\/486?\nAnswer: 972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 b when two letters picked without replacement from mwowwbowwwwwm.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 0 - -5 - (-3 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p + 3*f + 33 = 0, p - 5*f + 876740 = 876807 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j - 32 + 32 + (-2*j + j - 2*j)*(-5 + 5 + 2) + 4 + 4*j - 4.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 11*x**2 - 17*x. Let w(k) = -491 + 6*k - 4*k**2 + 491. Let h(d) = 6*n(d) + 17*w(d). Let u(m) = -22*m**2. Calculate h(u(c)).\nAnswer: -968*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*u**2 - 582 + 582 + 2*u**3 + 19*u**2 - 84*u**3 to the form t*u**3 + m*u + v*u**2 + w and give v.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001322 rounded to five decimal places?\nAnswer: 0.00132","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5*d**2*l**3 + 26*d**2*l**2 + d*l**2 + 36*l**3 + 2 wrt d.\nAnswer: -10*d*l**3 + 52*d*l**2 + l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5669783 and 74501.\nAnswer: 2569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 193\/514080 and 179\/904230?\nAnswer: 101273760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 40\/7 - (-6)\/21. Let g(x) = -1 + o + x - 11. Let t(d) = -5. Let b(u) = -5*g(u) + 6*t(u). Let s(c) = 2*c**2. Give s(b(z)).\nAnswer: 50*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 48062 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -20*v - 8. Let c(s) = -19*s - 9. What is 4*c(j) - 5*r(j)?\nAnswer: 24*j + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01304161807 rounded to four decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**3\/19 - 46*a**2\/19 - 226*a\/19 + 270\/19 = 0?\nAnswer: -5, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 546 in -1, 2, -0.3, -20?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 0 - 68e2c0?\nAnswer: -68e2c0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/81)\/(220\/(-22)*8\/(-80))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + h - 2, c = 5*c - h - 4. Let u(x) = 0*x + 1 - 3*x**c + 2*x**3 - 2*x + 5*x**2. What is u(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*s**2 - 22*s**2 + 2 to u + d*s + g*s**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 425509?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -13*v - 5. Give l(3).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*w**3 - w**2 - 2*w**2 + 46*w - 46*w.\nAnswer: -5*w**3 - 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that 9630 - 12206 + 8018 - 24483*t - 27*t**2 = 0.\nAnswer: -907, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 7*h**3 - 1212*h**2 + 283*h - 19061. Give x(173).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -18*u**2 - 91*u + 63. Let s(r) = -8*r**2 - 46*r + 29. What is 11*s(t) - 5*x(t)?\nAnswer: 2*t**2 - 51*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12530)\/25056 - (8\/4)\/(-4). Let r = v + -113795\/12528. Calculate the common denominator of r and -61\/30.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10\/711 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -61\/16 and 79\/1838?\nAnswer: 14704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23 - (3 + (-35)\/(-5) + -3). Solve -11*b - o = -3*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10351 - -22301?\nAnswer: 32652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 85\/35 + -2 - (-6)\/(-14). Find the second derivative of 3*h**3 - 5*h**3 + j*h**3 + 9*h**5 - 37*h**5 + 71*h wrt h.\nAnswer: -560*h**3 - 12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 20 + 0. What is the least common multiple of u and (3\/(-2))\/((-7)\/84)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 211364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4749.7 + 4750. Let z be -3*2*(-2 - -1). Let u(s) = -s**3 + 6*s**2 - s + 8. Let j be u(z). What is the nearest to j in -0.3, r, 0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4641040\/320)\/((-1)\/(-4)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-30)\/(-4)*(-112)\/(-280)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one sixteenth of a century?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304 = -44*d + 6*d. Let y(u) be the second derivative of u**5\/20 - 2*u**4\/3 + u**3\/6 - 5*u**2\/2 - 25*u - 1. Determine y(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2) - 592\/444)*-102\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11235087?\nAnswer: 3, 37, 33739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -63, -83, -67, 3, 145, 377, 717?\n\"Answer: 3*z**3 - 41*z - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13027 - -11305. Sort 2, -0.5, 1, k in ascending order.\nAnswer: k, -0.5, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 3*j - 70, -2*x - 50 = 15*j - 19*j. Solve -5*p - 4*c = -5*c + 18, 0 = 3*p - 2*c + j for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = 2*s + j - 28, 0 = -2*s - 3*j + 13. Let r(l) be the first derivative of -3*l**2 + s*l**2 - 2 + 10. Let x(h) = -h. Give x(r(g)).\nAnswer: -16*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = s + 28*a - 33*a, 0 = -20*a - 20. Put s, -12, -3, -7, -5 in descending order.\nAnswer: s, -3, -5, -7, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -3*t - 2. Let f be (1\/(-3))\/(t\/(-6)). Solve -v + f = r, 0*v = -v + r + 5 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.9? (a) 0.1 (b) -2 (c) -171988 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.453 rounded to zero dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (-19 + 26 - 18)*(243*a**2 - 267*a**2 + 745*a**2) in the form r + p*a + c*a**2 and give c.\nAnswer: -7931","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5993?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 4\/7 (b) 0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76018\/7 + 9427387\/868. Let f = 18\/31 - i. Which is the fourth smallest value? (a) 3\/2 (b) f (c) 5 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24412165285 + 0.5.\nAnswer: 24412165285.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-294*q**3 + 67*q**2 - 67*q**2)*(-7 + 1 - 2).\nAnswer: 2352*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001978118566 to 5 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6810 - 5849. What is the greatest common divisor of 248 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1381287354?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - t - a - 4 = 0, 4*t + 8 = a. Let w(p) = p + 7. Let c be w(-10). Put t, 1, c in increasing order.\nAnswer: c, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 594*m**4 + 859*m**3 - 3*m**2 - 764196.\nAnswer: 2376*m**3 + 2577*m**2 - 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -28*r + 1. Let l be (-22)\/132 + 130\/(-12). Is p(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*j + 3*j - 12 + 0*j - 12*j - 5.\nAnswer: -3*j - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/2541180 and 53\/5844714.\nAnswer: 58447140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 296 divide 1131137475?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.58 + -3.58. Are 3.1 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -174*i + 51*i - 600 + 1953 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes before 9:02 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1999473 and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 23*a**2 - 9*a - 96. Does 91 divide j(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r + 1. Determine l(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-278)\/139*-1*(-14)\/(-20).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14237.\nAnswer: 23, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 66247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 68 = -28. Let j = 15 + d. Calculate the remainder when 19 is divided by j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n**2 + 2*n**2 - n**2 - 6*n**2.\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -903, -889, -863, -825, -775, -713, -639?\n\"Answer: 6*n**2 - 4*n - 905","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 517092.1 milliseconds in nanoseconds?\nAnswer: 517092100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-64)\/(-224))\/((-5)\/(70\/(-12))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 27*a**2 + 23*a - 64. What is t(-26)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c = -6*s + 28, -324*c + s = -328*c + 8 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - -190.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 146749745?\nAnswer: 5, 47, 624467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + c = -17, -3*w + 16 = -4*w - 4*c. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -119811 - -359432\/3. Let d = -0.5 - 0. Let t = 0 - -0.4. Which is the nearest to r? (a) t (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3297*b + 1386*b + 867*b - 989*b.\nAnswer: 4561*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(363))*-1*-6 + 2 + 5 + -5*sqrt(363))**2.\nAnswer: -110*sqrt(3) + 388","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3c2b - 145b?\nAnswer: -5288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -2*t**2 - 9*t + 10. Calculate the lowest common multiple of (2\/(-4))\/(18\/(-180)) and d(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 2*w**2 + 10*w - 26. Let p be c(-7). Solve 2*m - 3*m = -p for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -177287.19 rounded to the nearest 100?\nAnswer: -177300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y**4 - 1844102*y**3 + 11064550*y**2 - 9220450*y = 0. Calculate y.\nAnswer: 0, 1, 5, 922045","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = a - 1 + 8, 3*a - 39 = 3*k. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39341 + 86316 + 113537 = 88*g. Is g a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -168 - -53. Let j = f - -142. Let m = 29 - j. Solve 7*d + 5 = m*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -3\/7 (b) -1\/2 (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2564 divided by 4335?\nAnswer: 2564\/4335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 54 - 22. Let l = 4 - -4. Calculate the highest common factor of y and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 0*m - 4*m + m - 4. Let q(y) = 7 + 5*y - 8 + 1 + 7. Let n(d) = -7*p(d) - 4*q(d). Let o(h) = -11*h. Give o(n(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j + 37. Let r be z(10). Let h be (-4)\/(-12)*r*-3. Solve 5*o = 11 + 9, -h*v - 24 = -3*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13 - 13. Suppose 0 = -c*m + 3*m + 9. List the prime factors of (-68)\/m + (-5)\/(-15).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*r - 19*r - 30*r)*(5*r - r - 3*r) - 19*r**2 - 139*r**2 + 25*r**2.\nAnswer: -168*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -2. Let c = r - 12. What is the biggest value in c, 0, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2654634 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 371 + -455. Let n = z - -88. What is the smallest value in 4\/25, n, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -1 + sqrt(605) + 1 + sqrt(125) + 1.\nAnswer: -2 + 16*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -z - 16, 0 = 3*w + z - 5*z - 48. Suppose 5*p - 2*k = 10, 4*p + 4*k + 4 = -w. Solve p = 5*s - 13 - 12 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -209*n - 820. Calculate the remainder when 74 is divided by x(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-66) - (-1872)\/23760?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 4*a - 5. Suppose -2*n = 2*z - 4, -z = -2*z - 5*n - 6. Determine q(z).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19994, -19997, -19990, -19967, -19922, -19849, -19742?\nAnswer: -19595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 389790281 a multiple of 627?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-6)\/24)\/(2\/(-16)). Suppose -j*b + 5*n + 1446 = 0, 2*b + n + 0*n = 1458. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 884\/34 - (61 + -24 + 79)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 8 - 50 - 8*y - 27*y**3 + 19 + 8*y**2. Let r(q) = 9*q**3 - 3*q**2 + 3*q + 8. Let l(t) = -8*r(t) - 3*v(t). Differentiate l(j) wrt j.\nAnswer: 27*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370600?\nAnswer: 2, 5, 17, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -120000110 (base 3) in base 5?\nAnswer: -322242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-45))\/((-92)\/(-805)) - (-4676)\/168.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, 2\/13, -0.5.\nAnswer: -1.6, -0.5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/4388 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 divided by -62?\nAnswer: -63\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c - 27. Let g be n(-3). Let q be g - (3 + (6\/30)\/1). Find a, given that -q*a**2 + 4\/5*a + 2\/5*a**4 + 12\/5*a**3 + 0 - 4\/5*a**5 = 0.\nAnswer: -2, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**4 + 19*y**3 - 11*y**4 - 73*y**3 - 12*y**4 + 3*y**5.\nAnswer: 3*y**3*(y - 9)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 43\/14592 and -31\/24320?\nAnswer: 72960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by -43788?\nAnswer: -1\/3649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3\/(6\/(-4)) - 9*-58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-5)\/(m**(-4\/5)*m*m))**(1\/15)*((m\/(m**(2\/3)\/m))**(-11\/4))**34 assuming m is positive.\nAnswer: m**(-3127\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence znu when three letters picked without replacement from nuunqznnzznnqnnqq?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2407700 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30137130 is divided by 22524?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 32201 - 3?\nAnswer: 32132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 205381 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a litre in millilitres?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 451*g**4 - g**2 + 270 wrt g?\nAnswer: 10824*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 410 is divided by 55?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by -3.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from ssnsnnsssnnsnnssnns.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14633765?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from chtxaatcxcxttxtcacca. Give prob of sequence ca.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*-331022493\nAnswer: 33102249.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**5 - 87*z**4 + 126*z**3 + 1092*z**2 - 3336*z + 2592.\nAnswer: 3*(z - 27)*(z - 2)**3*(z + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.67*7728.73.\nAnswer: -5178.2491","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the second derivative of -1\/2*a**2 + 1\/120*a**6 + 1\/16*a**4 - 1\/6*a**3 + 1\/20*a**5 - 8*a - 2. Let c(y) = 0. Calculate y.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/4 in -6, -1, -9.5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ci when two letters picked without replacement from cffcrrfrcocoofioom?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the second derivative of 27*u**7\/1400 - 3*u**6\/100 + u**5\/50 - 10*u**4 + 81*u. Let o(n) be the third derivative of s(n). Find m such that o(m) = 0.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/5, -5, -30, 112\/31, 4\/27, -5\/2?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9522?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22 + 49. Suppose -537 = -6*c - r. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1237*y + 63320 = 346*y for y.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1206953886 is divided by 368?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8*g**2*i*j**3 + g**2*i*j**2 - 13*g**2*i*j - g*i + 3*i*j**3 - i*j**2 wrt g.\nAnswer: 16*i*j**3 + 2*i*j**2 - 26*i*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 - 23. Suppose 4*z = -n + 20. Let q be 64\/(-114) - (-12)\/18. Which is the closest to z? (a) 5\/2 (b) q (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/77740495 at most -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39772 by 163.\nAnswer: 244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o - 4*o - 37*h - 28*h = -17, o + 4*o - h + 41 = 10*o for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence obob when four letters picked without replacement from {o: 1, s: 3, b: 3, c: 6}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 56*g**2 - 32*g**2 + 18*g**2 + 0.\nAnswer: -70*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = s**2 - 2*s - 2. Let x(i) = 2*i**2 - 23*i + 14. Let r be x(11). Calculate a(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 (base 12) in base 2?\nAnswer: -100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-60*6\/(-96))\/(1\/4). Solve -o - 22 = -a for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 1172*j**2. Let y(v) = v + 13. What is q(y(t))?\nAnswer: 1172*t**2 + 30472*t + 198068","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 713 and 11305.\nAnswer: 8060465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 120, 2, -1, -2, 5, 11.\nAnswer: -2, -1, 2, 5, 11, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (322\/69)\/((-112)\/(-36) + -2 - 2). Which is the smallest value? (a) 0.1 (b) -4 (c) 1\/9 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -8. Suppose n*m - 5 - 85 = 0. What is the lowest common multiple of m and 333\/18 - (-6)\/4?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 112 and 196?\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -96 + 189. Calculate the remainder when k is divided by 24.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*j + 3*q - 42 = -86*j + 172*j, -3*j = 3*q + 18 for j.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-59)\/35 - (-2)\/5. Let n = -48 - -58. Suppose n + 18 = -28*l. Which is greater: l or s?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 77*u**2 - 54*u - 342. Is 17 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zbqzzzzbbzqz. Give prob of picking 1 b and 1 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -40029 + 40029.0000020977. Round r to seven dps.\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 204 and 103190.\nAnswer: 619140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - k - 4*k + 5*k + 5*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5 (b) 0.5 (c) 34\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -0.02, -21.2 in decreasing order.\nAnswer: -0.02, -2, -21.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100212012 - 101?\nAnswer: -100212120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 344*c + 485. Let y be o(18). Round y to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 10, y: 1, d: 2, t: 3}. Give prob of picking 1 w, 2 t, and 1 y.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -16 + (-58 + 31 - -68)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, x: 1, t: 1, c: 12}. What is prob of sequence xrc?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 13*b = -11*b + 1458. What is the highest common divisor of 66 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -6*p**2 + 242 - 242. Let l(g) be the third derivative of -g**5\/60 + g**2. Calculate x(l(t)).\nAnswer: -6*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 159 minutes before 10:54 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 + 5*x**2 + 6*x - 3. Let d be r(5). Suppose 0 = -5*s - 2 + d. Suppose 5*f = c - 2, 2*c - s*f + f = 28. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppwwpowppotpw. What is prob of sequence pppp?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30.46 - 0.54. Let v = r - -19. Let p = 12.1 + v. Which is smaller: 0.02 or p?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1)\/6 - 134\/(-12). Let f = -8 + c. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*t + 5 - 4 - 1 + 5*t**2.\nAnswer: 5*t**2 - 3*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -2611*v + 33927. What is q(13)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*h - 5*g, -3*h + 7 = g. Suppose 3*w - 47 = h*x + 60, x - 34 = -w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -84*a + 3644. Give b(49).\nAnswer: -472","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the second derivative of i**5\/10 + i**4\/12 + i**3\/3 - 11367*i**2\/2 - 71*i + 8. What is the first derivative of j(x) wrt x?\nAnswer: 6*x**2 + 2*x + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*o - 0*c - 5*c + 15, 2*o = 5*c - 15 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 3*w + 45. Let v be (22\/(-55))\/((-2)\/(-70)). What is the lowest common multiple of 35 and y(v)?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -38, -3\/2, 0.3, 0.31, 2, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -34 (b) 0.4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*q - 344*q + 49*q - 314*q - 6810 for q.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*2235\nAnswer: 447","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -108581990 divided by -5245\nAnswer: 20702","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 5*g + 30 = 0. Let o = -21 + 19. Let f = g + o. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -7*s + 484. Determine c(68).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4*9\/810*(-29)\/((-609)\/4935). Factor -92\/9 - 2\/9*f**2 - v*f.\nAnswer: -2*(f + 1)*(f + 46)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30 + 4 - -55) + 6 + 28?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26511024 by 3678.\nAnswer: 7208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 400 - 203. Calculate the remainder when t is divided by 68.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -c. Let p(s) = -8*s. Let t(m) = 4*n(m) - p(m). Let d(h) = 9*h + 2. Let b(j) = 50*j + 11. Let z(y) = 4*b(y) - 22*d(y). What is t(z(u))?\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4093?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 63117, 63109, 63101, 63093, 63085?\n\"Answer: -8*d + 63125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 2 n when three letters picked without replacement from nqccqqqnc.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*k - 20 = -8*k. Let f be k\/(-20) - ((-138)\/4 + -2). Suppose 35*v = 29*v + f. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 12*l. Let y(c) = 9*c + 153. Let p be y(-18). Let q(f) = 6*f. Calculate p*q(r) + 4*u(r).\nAnswer: -6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a gram in milligrams?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven fifteenths of a millennium?\nAnswer: 5600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n**2 - 208*n - 5408 = 0 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/545 and 5\/4582251.\nAnswer: 22911255","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -655 + 194 - 77 - 130 - 17*x**2 + 4*x**2 as w*x + m*x**2 + h and give m.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 3 + 8 - 10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114142 is divided by 18989?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**6\/60 + c**5\/60 - c**3\/6 - 5*c**2 - 4. What is f(2)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the second derivative of q**4\/12 - 5*q**3\/6 + 3*q**2\/2 + q. Let g be (-8)\/10*(-25)\/10. Suppose 0 = -4*x + 2*r + 3 + 13, 3*r = -g*x. What is c(x)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*c*t**3 + 82450599*c*t - 2*t**3 - 27*t**2 + 206289*t wrt c?\nAnswer: -3*t**3 + 82450599*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, 0.5, 89\/3, 2\/5 in ascending order.\nAnswer: 2\/5, 0.5, 3, 4, 89\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -917\/2 - -458. What is the smallest value in n, -0.01, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 n when three letters picked without replacement from {n: 2, a: 8, x: 2}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 2*u**2 - 2. Let s(b) = 26 + 30 - b**3 + 27 - 81 + 3*b**2. Suppose -3*z - 14 = -38. Let i be 1 - 0 - (6 - z). What is i*j(h) + 2*s(h)?\nAnswer: h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 3) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21163?\nAnswer: 21163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**3 - 9*j**2 - 9*j + 2. Suppose 2*n = -2, -5*z + 0*z = 2*n + 42. What is the smallest common multiple of c(z) and 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/19)*k*k*k\/(k*k**(-2)))\/(k**(2\/3)\/k*k)**(2\/27))**(7\/2) assuming k is positive.\nAnswer: k**(21847\/1539)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of -r**3 - 9*r**2\/2 - 9. What is the second derivative of y(o) wrt o?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-114) + (-728)\/(-5434)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -33\/1061242 and -83\/2499.\nAnswer: 3183726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1421, 5660, 12717, 22586, 35261?\nAnswer: 50736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 3. Suppose b + b + 10 = t. Suppose -2*f + 2*a + 0*a + 12 = 0, a - 14 = -3*f. Put f, b, -4 in increasing order.\nAnswer: b, -4, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 7 = 5*w - 42, -p - 4 = -3*w. Calculate the greatest common divisor of 348 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*u + 4 - 4)*(5 - 3 - 3) - 3*u - 3*u + 5*u - u - 2 + 2 + 4 - 4 - u + (3 - 3 - 2)*(2*u + 0*u - 3*u))*(0*u + u - 2*u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 21\/14*(-2 - (-20)\/6). Suppose 2*v = -v - 12. Sort w, -5, v.\nAnswer: -5, v, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 11:05 AM?\nAnswer: 8:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11886 - 7816. Is k a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 - 12. Suppose u*j + 10 = 0, 3*f - 3*j - 53 - 79 = 0. Is 14 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 + 31.966. Round g to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7339 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1875\/7*g**2 + 0 - 1725\/7*g**3 - 21*g**4 - 3\/7*g**5 + 0*g.\nAnswer: -3*g**2*(g - 1)*(g + 25)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*l + 5*d + 11, 10*l - 2*d = 5*l - 8. Let q(z) = -2*z - 9*z - 6*z - 4 + 21. Let j be q(1). Are j and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7407?\nAnswer: 3, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 47606 and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-742)\/(-21)*(-3)\/(-2) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2953243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 2*l**2 - 17*l + 7. Determine r(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -15. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n + 2*n + 10 = 5*k, 0 = 4*k + 2*n + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 3*z**2 + z + 1. Let y(o) = -2*o + 3*o - o + o + 6. Let n be y(-7). What are the prime factors of p(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -181 - -184. Suppose -3*r + 308 = m*u + 2*r, -380 = -4*u + r. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 64405851?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 226160 by 11.\nAnswer: 20560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:30 PM?\nAnswer: 5:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzzzznzzzzkzzzkz. Give prob of picking 3 k and 1 z.\nAnswer: 13\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29625079?\nAnswer: 11, 73, 79, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 80*(18\/(-60))\/(112\/(-448))?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 93044184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 175 + 4642*b + 4617*b - 9239*b. What is the units digit of q(20)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -71, -418, -997, -1808?\nAnswer: -2851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -39*a**5 - 112066*a**4 - 16*a**3 - 17339271*a**2 - 2*a + 2?\nAnswer: -2340*a**2 - 2689584*a - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/1258 and 11\/35298.\nAnswer: 600066","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 401 - 873. Let l = j - -138. Round l to the nearest ten.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 27 + 0 = 0. Suppose 0 = -4*u + 4*g + 26 + 218, 0 = 3*u + 3*g - 207. Let h be 8\/(-10) - (-637)\/u. Is l != h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1166531?\nAnswer: 1166531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of h**8\/420 + h**5\/20 + 5*h**3\/3 + 1. Let b(q) be the third derivative of n(q). What is the second derivative of b(p) wrt p?\nAnswer: 48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -39 - -315\/8. Let t = 129 - 128.6. Which is the biggest value? (a) z (b) 3\/2 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(2268) + sqrt(2268)*2*1 + sqrt(2268)))\/((sqrt(196)*1 - sqrt(196)) + 6*sqrt(4)*-5).\nAnswer: -36*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17\/75 - -7\/75. What is the smallest value in -51, g, 0.3?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 7. Suppose b + 1389 - 165 = -2*g, 5*g = f*b - 3034. What is g rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/2, -3.6, -2, -46, -100 in ascending order.\nAnswer: -100, -46, -3.6, -2, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 10 = 2*v. Let r(i) = -i**2 + 3*i + 3. Let b(p) = -2*p**2 + 6*p + 6. Let u(q) = v*b(q) - 5*r(q). Give u(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) 18 (c) -12 (d) 2\/9 (e) 1184\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-2) + 130\/20. Let l = q - 7. Find the common denominator of -43\/2 and (-3)\/((-60)\/(-116)) + l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/6 of a year?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*h**5 - 39*h**4 - h**3 - 4*h**2 - h + 126 wrt h?\nAnswer: 960*h**2 - 936*h - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 19\/4 (b) -0.4 (c) -48 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-21)\/28*(-14260)\/69 is divided by 82?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s**2 + 0 + 0)*(-4*s - 4*s + s).\nAnswer: 21*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, -191, -3, 2, 3 in descending order.\nAnswer: 3, 2, -3, -5, -8, -191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w*w\/(w*w*w**(-26))*w*w*w*w**6*w*w*w assuming w is positive.\nAnswer: w**39","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 8*a**2 + 11*a - 7. Let g be x(-5). Let w = -78 + g. Let d = w + -22. Is 5 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 20 + 47. Is g at most as big as 68?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 568 and 315180644.\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(117) + sqrt(117)*-2))\/sqrt(9))**2 + -4 + (sqrt(143) + sqrt(143) + sqrt(143)*3)\/sqrt(11).\nAnswer: 5*sqrt(13) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2437903, 4875134, 7312367, 9749602, 12186839, 14624078?\nAnswer: 17061319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - (-1 + 0)) + -30 + 28.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-3)\/(-288)*(-120)\/30\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1992 is divided by 133.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 27529 - 27421. Calculate the highest common divisor of 486 and d.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r - 4*a = 5, -216 = -2*r + 6*a - 176 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -42867 divided by 416\nAnswer: -42867\/416","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 6 + 2*b**3 - 3*b**2 + 4 to the form r*b + p*b**2 + t*b**3 + l and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -v**3 - 5*v**2 - 3*v + 3. Suppose 0*n - 2*n - 10 = 0. Calculate a(n).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 146865 and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1*2*3\/2 + 2. Solve u*n - 6 = -2*g, 2*g - g - 3 = -3*n for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 9*v + 24. What is the remainder when s(8) is divided by 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u - 2 + 3 - 1.\nAnswer: 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 111, -75, 13 in increasing order.\nAnswer: -75, 13, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 2902820 to the nearest 100000.\nAnswer: 2900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 + 18*w + 9. Let d be m(13). Suppose d + 334 = 6*i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-993)\/(-6) + (-3)\/(-6) + -1. Suppose 4*a = 15 + b. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 11:07 AM?\nAnswer: 10:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 913 is divided by 84?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5711138?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 248227 to the nearest integer?\nAnswer: 498","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -11*g**2 + 180*g + 176. Calculate q(17).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0, -3, -2.9, 4, 2, 0.4, 8\/5?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-28)\/(-3))\/2*(360 - (-26 - -29)). Calculate the greatest common factor of n and 196.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25500796*0.1.\nAnswer: 2550079.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2627 - -2626.8. What is the nearest to i in 2, 2\/3, -133?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 - -28 - 45 - (18 + -2 + 9).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -11 - -10 - 4900\/196?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + 4 + 2 + -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2319, -3979, -4981, -5325, -5011?\n\"Answer: 329*z**2 - 2647*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -46 + 42. Sort 3, 1\/3, p in descending order.\nAnswer: 3, 1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**3 + r**2 - 2*r + 16. Calculate j(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(15)\/sqrt(5) - (sqrt(27) - 1*sqrt(27))\/sqrt(9).\nAnswer: 1 + sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 24 = 3*u + 5*n, 4*n = 2*u - 16. Suppose 4*s = u*s - 24. Suppose 5*x - 98 = 4*d, 0 = 2*x - s*x + 3*d + 78. Is 20 <= x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:57 PM and 12:41 AM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -54*g**2 + 664*g - 1324. Determine m(2).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -134 = 5*x + 4*v, 4*v - 2*v + 112 = -4*x. Let p be ((-20)\/x)\/((-4)\/(-18)). Let u(g) = -g**3 + 3*g**2 + g - 1. What is u(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -11 + 5. Let j(o) = -o**3 - 6*o**2 + 2. Let x be j(c). Solve -d = 4*n + 7, 4*n + 10 = -x*d - 0*d for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 126*p**2 - 480*p - 472.\nAnswer: -2*(p + 2)**2*(p + 59)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72 - (82 - -11)) + (2 - (0 - 2)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 126098.\nAnswer: 2, 7, 9007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.73 and 455724592.\nAnswer: 455724592.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -8*r + 7. Suppose 0*g = 7*g + 28. Let m(o) = -7*o + 7. Let n(u) = g*j(u) + 3*m(u). Differentiate n(z) with respect to z.\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -262 (base 10) in base 8?\nAnswer: -406","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**2 - 2*l + 8. Let g(t) = t - 1. Let y = 3445 + -3453. Calculate y*g(o) - u(o).\nAnswer: 2*o**2 - 6*o","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 418, 753, 1010, 1189, 1290, 1313?\n\"Answer: -39*z**2 + 452*z + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 12*n. Suppose 4*x + 2 = 6*x. Let a be c(x). Is -1 + a*1 - 1 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/((o**(4\/13)\/o)\/o*o))\/o**(-2\/33))**45 assuming o is positive.\nAnswer: o**(11280\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 131540027.\nAnswer: 29, 4535863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 65. Suppose 0 = 2*s + 3*s + 2*p - 108, -p - 16 = -s. Let n be ((-6)\/(-2))\/(30\/s). Solve -v*q = 4*g + 1, 5*g + 3*q = -n*q - 5 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d**(-1\/4)*d)\/d)**43)**26\/((d\/d**(-1\/7))\/d**5)**12 assuming d is positive.\nAnswer: d**(-3265\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-8))**(-16)*r**(7\/4)\/((r\/r**(1\/30))\/r) assuming r is positive.\nAnswer: r**(7787\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*z**5 - 6*z**2 + 3*z**5 - 2*z**5 wrt z?\nAnswer: 240*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14563 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 5*k + 0*k - 4*k)*(7 - 2 - 3)*(2 + 2 + 2).\nAnswer: 12*k + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 divided by 9868.\nAnswer: -3\/2467","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s = 12*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, f: 3, v: 1}. Give prob of picking 2 f and 1 e.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-45236)\/(-3682) - 9\/7. Solve 3*j = -15, -22 = d - 7*j + u*j for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) -452 (c) 1995\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -14.3 - -14. Let q = -13 - -8. Which is the third biggest value? (a) -0.4 (b) q (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -133, -2, 1, 2.\nAnswer: -133, -6, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59239 is divided by 292?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 10, -9, -4, 3\/14, -1.6, -0.4, 2?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}