diff --git "a/data/dm_maths/full_data_2/10087_11255.jsonl" "b/data/dm_maths/full_data_2/10087_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_2/10087_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the greatest common divisor of 8217 and 495?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 407 (b) 755 (c) 2\/137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t - 5. Let a be 0 - -3 - 8\/(-2). Let u be y(a). Let k = -15 + u. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6\/5 of a micrometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23903 is divided by 323?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/28)\/((-2)\/(-7))*2. Suppose -4*y = 5*c - 5, 0 + z = 3*c. Solve 0 = -3*t - y*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -51*j + 32 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -340? (a) -8\/17 (b) -8 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.027794um to meters.\nAnswer: 0.000002027794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -453 times 6\nAnswer: -2718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v**2 - 10*v + 5. Let g(p) = 5*p**2 + 11*p - 6. Let j(u) = -5*g(u) - 6*n(u). Let h be j(5). Suppose s - 3*s = h. Solve s*f - 2*f = -10 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 434, 1617, 3564, 6281, 9774, 14049?\nAnswer: 19112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 6 + 3 + 7*y.\nAnswer: 7*y - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -134071605.594 - -1370?\nAnswer: -134070235.594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.2 and 824189638024.\nAnswer: 824189638023.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z\/(z\/z**12))\/z**(6\/5))\/(z**(-1\/2)*z*z*z**(-10\/7)*z*z))**22 assuming z is positive.\nAnswer: z**(6721\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1301792237?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = b + 2. Let d(k) = k. Let n(v) = 5*d(v) + g(v). Suppose 2880 = 52*q - 47*q. Let u = -572 + q. Let s(z) = 5*z + 2. Determine u*s(c) - 3*n(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3, 8, 33, 78, 149, 252?\n\"Answer: c**3 + c**2 + c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - 15) + -84 - (0 - 7 - -7).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, b: 1, x: 1, g: 3, a: 3, v: 3}. What is prob of picking 1 v and 1 z?\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + h + 65 = 0, 38 = -5*v + 4*h + 361. Solve 0 = -6*w + 45 - v for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + t - t + (-5 + 5 + 2*t)*(4 + 2*t**2 - 4) - 114 + 114 - 36*t**3)*(8*t**2 + 24*t**2 - 2*t**2).\nAnswer: -930*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6 + 1619?\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (3*(-1 - 0))\/(-1). Suppose 3*g - 6 = -4*m + 17, -1 = -g + 2*m. Suppose 5*k + 5 = -3*l, -l + 5*k + g = -20. Solve -r*f = -2*f - l for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 181 (b) -0.1 (c) 3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 30\/(-9)*5864163\/(-365)?\nAnswer: 2, 26777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*r = -2*r - 20. Let j(b) = 5*b**2 + r*b**3 + 3 - 3*b**3 - b**2 + 0 + 4*b. Determine j(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-34)\/(-38) + -5*7\/35. Let p = -25\/183 + 1268\/3477. Let h = l - p. What is the biggest value in -4, h, 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2182 - 1783 = -12*b - 3629 for b.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 j when three letters picked without replacement from {r: 1, b: 5, j: 7, g: 1, f: 2}.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (510\/50 - 7)*10\/(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102 - (-49 + (123 - 15)).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.4 + -1.4. Let n = -78 + m. Let s = -75.99999949 - n. Round s to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21\/2 + -353\/34. Let u = 0.2784 - 0.3464. Is u greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23*21.7\nAnswer: 499.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 + 14*f**2 + 8*f - 53. Suppose 8*n - 487 = 41. Calculate the lowest common multiple of g(-13) and n.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:46 AM and 7:32 PM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*25\/20*(-2)\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 58699.\nAnswer: 58699","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/76426 and 11\/2572.\nAnswer: 98283836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/82)\/((14 + 75\/(-6))\/(-33))?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 172778?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -31*r + 158 + 97*r - 3 + 268*r. Is f(8) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1534)\/(-6))\/((-175)\/21 + 8). Let g = -239 - n. What is the hundreds digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 38 + -33. Suppose 3*v - 1823 = d*l, 3025 = 3*v + 2*v + 5*l. Is 55 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**4\/7 + 100076*x**3\/7 + 2*x**2\/7 - 100076*x\/7 = 0. What is x?\nAnswer: -1, 0, 1, 50038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/140*12\/(-651)*9\/108*-70?\nAnswer: 2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -4562, 2, 27444 in descending order.\nAnswer: 27444, 2, -4562","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 147675 is divided by 36910?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-20)*15\/24*12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 3*k - 29. Let s(r) = k - 7 + 3*r. Calculate s(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o\/(o*o**(-4\/13)*o))*o)\/((o\/((o**(-13)\/o*o)\/o))\/o*o)*(o*o*o*(o*o*(o**14*o)\/o*o*o)\/o)\/o**(-4))**(-33) assuming o is positive.\nAnswer: o**(-5016\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**4 + 97806*f**3 + 2*f**2 - 155936.\nAnswer: 8*f**3 + 293418*f**2 + 4*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87646311 divided by 70061.\nAnswer: 1251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/84 - (-72)\/14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.834 (b) -1 (c) 0.3 (d) -3\/7 (e) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j + 8. Let h be w(-6). Solve 5*n - 40 = -5*s, h*n - n = 5*s - 16 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 take away -1.9005?\nAnswer: -8.0995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17952 by -2244.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*a - 60 = 61*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 55072, 55070, 55066, 55060, 55052, 55042, 55030?\nAnswer: 55016","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 132\/5 - 2\/5*j**2 - 38\/5*j = 0 for j.\nAnswer: -22, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/56*-4*0)\/((-10)\/5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/7))**(2\/109)*u**(4\/5)\/((u**(-7)*u)\/u) assuming u is positive.\nAnswer: u**(29737\/3815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 4*b - 5*p, -44*p - 16 = -60*p for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1777 is divided by 84?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(52)\/(sqrt(484) + (sqrt(484) + sqrt(484)*-3 - sqrt(484)) + sqrt(484)).\nAnswer: -sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 210 and 157830.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 246 and 18.\nAnswer: 738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:55 PM and 4:59 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of -2417*c**5\/10 + c**4\/3 + c**3 + 10*c**2 + 468*c. What is the third derivative of m(u) wrt u?\nAnswer: -29004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 387 minutes after 12:07 PM?\nAnswer: 6:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 480?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6.19 + -5.5. Let v = x + -0.09. Which is smaller: -0.1 or v?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7741019*4\nAnswer: -30964076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 70206 divided by 6.\nAnswer: 11701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20497.\nAnswer: 103, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -199 - 27 - 40934*x + 40962*x as z*x + q and give z.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, a: 3}. What is prob of sequence sa?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 + 8 = -2*q. Calculate the lowest common multiple of q\/10 - (-986)\/85 and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*h**3*o**2*p**2 - 12*h**3*o**2 - 57*h**3*p**2 - 2*h**2*o*p**2 + 7*h**2*o - o**2 wrt o?\nAnswer: -34*h**3*p**2 - 24*h**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 328 and 230830.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4688 + 3*h**2 - 4688.\nAnswer: 3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wllwwllllwwwllwwlw. What is prob of sequence lwl?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -782*w**2 + 13291*w + 39. Give p(17).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 14*n + 47*n + 58329 - 58313 - 552*n**3 + 2*n**4 wrt n?\nAnswer: 24*n**2 - 3312*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**2\/7 - 384*f + 8082\/7.\nAnswer: -2*(f - 3)*(f + 1347)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 196840453 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2262.\nAnswer: 2, 3, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l**3 - 12*l**3 + 28*l**3.\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40257?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from eeeeeeffefffe.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 6 = -4*t, 5*x - x + 6 = t. Suppose 2*a + 18 = 2*i, t*i = -0*i + 5*a + 27. What is the third derivative of i*y**2 + 4*y**2 - 5*y**2 - 6*y**4 wrt y?\nAnswer: -144*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 12*q**4\/7 - 3158*q**3\/7 - 208716*q**2\/7 - 168552*q\/7 + 206064\/7 = 0. Calculate q.\nAnswer: -54, -3\/2, 2\/3, 318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 97770 + -1.6?\nAnswer: 97768.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 19903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -139, -335, -619, -997, -1475, -2059, -2755?\nAnswer: -3569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 14. Let j be 2\/5*(n + 9). Factor -t - 1\/3*t**j - 2\/3.\nAnswer: -(t + 1)*(t + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2867?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005994 rounded to five decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t, 1 q, and 1 w when three letters picked without replacement from mkqtntqnmmmwtw.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the third derivative of -y**6\/120 - 7*y**5\/30 + 25*y**4\/24 + 11*y**3\/3 + 362*y**2. Suppose -x + 16 = -2*x. What are the prime factors of f(x)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 35927.5 to the nearest one thousand.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.8 - 2. Let y = 1 - 0.9. Let l = y - -0.2. What is the second biggest value in l, -3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10*(-3)\/(-24) - (2 + -5). Which is the nearest to 3? (a) -0.3 (b) 2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46.5 + -165. What is q rounded to zero decimal places?\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -k**2 + 0*k**2 - 2*k**2 + (-13*k + 13*k + 2 - 8*k**2)*(-3 + 0 + 5) to b*k + g + m*k**2 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from trnnasw.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -68656802 or -68656803?\nAnswer: -68656802","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**3 - 44*y**2 + 2*y - 83. Determine x(44).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 33177307 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 d when two letters picked without replacement from {o: 1, d: 2, z: 1, t: 3, f: 3, g: 1}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -137*w + 12. Let q(f) = -50*f + 4. Let g(o) = 4*h(o) - 11*q(o). Suppose -3*c - 25 = -7. Give g(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28)\/(-6)*(-4740)\/2212.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 39*j - 1. Let f(d) = -1431*d - 2. Determine f(h(u)).\nAnswer: -55809*u + 1429","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*w**5 + 385*w**3 - 5844*w - 4.\nAnswer: -60*w**3 + 2310*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t. Suppose -2*k = -46 + 42. Let n be q(k). Suppose -p + 5 = 0, 3*b = n*p + 69 + 11. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -8*61\/(-2) + 0. Let t = 453 - x. Let z = -134 + t. What is the greatest common divisor of z and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13480 (base 11) to base 15.\nAnswer: 5a56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**4 - x**5 + 0*x**4 + (-x**2 - 2*x**5 + x**2)*(4 + 5 - 3).\nAnswer: -13*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3577?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 9\/2*g**2 + 0 - 2*g + 7\/6*g**3. Let f(o) = 4*o + 5. Calculate -5*f(a) + 3*s(a).\nAnswer: a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2325 - 0.23.\nAnswer: -2325.23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 383\/(324401\/5808) + -8\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000031726 to seven decimal places.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 0 + -325c?\nAnswer: -325c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 0 + 3)*(3*s**2 - 3 + 3)*(s + 3 - 3)*(-6 + 2 + 3).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18927*h**3 - 2928*h**4 + 2440*h - 18927*h**3 + 37854*h**3 wrt h.\nAnswer: -35136*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2880045175 to the nearest integer?\nAnswer: 53666","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12*(-12)\/(-36) + (0\/(-5))\/(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1667183*v. Let y(t) = -2*t**2. Determine y(r(u)).\nAnswer: -5558998310978*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002312500108 rounded to 5 dps?\nAnswer: 0.00231","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2270)\/(-8) - 18\/(-72). Suppose 5*g = -5*c + 725, 0 = 2*c - 4*g + 3*g - r. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 86*s + 830. Let q be l(-10). Put -3, q, 28 in decreasing order.\nAnswer: 28, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*a = -9*a + 192 + 81 for a.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = d - 0*d - h, -3*d + 51 = -4*h. Find the third derivative of 3*v**2 + d*v**3 - v**2 - 2*v**5 - 17*v**3 wrt v.\nAnswer: -120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (1 - 27) + 25 + 0.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 less than 862.42131?\nAnswer: 862.02131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184 + 917\/5. Let r = -4819 - -34092\/7. Let g = r - 51. Which is the second smallest value? (a) q (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 5*h - 38 = -3*h, 0 = 4*h - 8. Let z = a - -4. What is the tens digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17780511?\nAnswer: 3, 7, 41, 107, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32880680 + -19513680. Round y to the nearest one million.\nAnswer: 13000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n + 3*t - 10 + 19 = 0, -5*t = 3*n + 7 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2863008854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 10626 + -10630. What is the nearest to -1\/9 in 2.3, -6\/11, a?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 312 and 18?\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 2. Let m be v\/18 + 1\/2. Let q(t) = 4*t**2 - t - 1. Let n be q(0). What is the third biggest value in m, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(51)\/sqrt(3) - sqrt(17) - ((-1 + (sqrt(17) - sqrt(119)\/sqrt(7)))**2 - sqrt(17)).\nAnswer: -1 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2879, 1\/2, -4\/7, -43?\nAnswer: -0.2879","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48 is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28 + 41. Is s a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -338.42*0.4\nAnswer: -135.368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the third derivative of a**8\/2184 + a**7\/455 + a**6\/260 + a**5\/390 - 470*a**2. Factor k(p).\nAnswer: 2*p**2*(p + 1)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/((-8)\/((-160)\/30))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26*(-6)\/84 - (-2)\/(-14)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 u when two letters picked without replacement from wxcwcxcxcxucwcxusc.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4013 + 1406?\nAnswer: -2304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 11861657?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -16 * -47\nAnswer: 752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence utnb when four letters picked without replacement from {x: 3, n: 2, o: 1, u: 1, t: 2, b: 3}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**18\/s**(-1\/3))\/(((s\/s**(2\/11))\/s)\/s)**(1\/11) assuming s is positive.\nAnswer: s**(6694\/363)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1084 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/2380 and 9\/40?\nAnswer: 4760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/98 and 23\/126.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 14 + 49 = -g, 3 = -g. What is the second derivative of 20*y - 14*y - s*y + 6*y**5 wrt y?\nAnswer: 120*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**4*f\/(f*f**(1\/17)*f))\/((f**(2\/11)\/f)\/((f\/f**9)\/f)) assuming f is positive.\nAnswer: f**(-2289\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2978311.1 rounded to the nearest one hundred thousand?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*n**4 - 14*n**4 - 11*n**4 - 2*n**2 + 2*n**3 + 0*n**2 to the form s + b*n + r*n**2 + i*n**3 + d*n**4 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-6)\/(-3) - -4)*(-6)\/(-9). Let z be -1*(1 + -2) - -19. Suppose i*r = 9*r - z. Solve -p = r*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**2 - g. Let d(v) = -6*v**2 + 5*v - 2. Calculate -d(i) - 5*y(i).\nAnswer: i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 - 3*d**2 + 4*d + 6. Let v be y(-4). Let l = 23 + -4. Suppose -5*o + a = -14, 5*a + l = -o + 1. What is the greatest common factor of o and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.03, 333, 12, -1\/2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -32*k**3 + k**2 - k - 1. Suppose 0 = 2*b + b - 27. Let q be ((-3)\/b)\/((-2)\/(-6)). Let v be j(q). Solve 2*s = -x - 14, -2*x = -5*s - 4*x - v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -2*f + 2. Let m be k(4). Let c(g) = g**2 + 7*g + 3. Let o be c(m). What is the second biggest value in -1\/3, o, 0.3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 292*o - 10 - 9*o**4 - 292*o wrt o?\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*d + 19 = 0, 3*j + 2*j - 43 = -d. Let p = 11 - j. What is the tens digit of (p\/(-4))\/((-1)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30291285331 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.21943311 to 4 decimal places.\nAnswer: -0.2194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/((m**(-2)*m)\/m)*(m**(-6)*m)\/m*m**(-5)\/(m**(-1\/4)*m)*(m*m**(-1)*m)**(-24)*m**(-2\/27)*(m\/(m\/(m\/(m**5\/m))*m))\/m assuming m is positive.\nAnswer: m**(-4085\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*o**5 + 1314*o**4 - 12857*o**3\/4 - 59575*o**2\/4 - 6762*o - 815 = 0. Calculate o.\nAnswer: -2, -1\/4, 5, 326","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 31 + -31. What is the nearest to g in -0.1, -0.3, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 160, 114, 2, 1?\nAnswer: 114","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4664 = -62*c + 54*c. Let m = c - -148. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 - m**2 - 15. Let o be c(0). Let n be ((-8)\/(-10))\/(2\/o). Let w = n + 10. Solve 5*x - w*i = -2, 0 = -0*x + 2*x - 5*i + 11 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 3*a**2 + 2*a - 4. Let g be v(3). Suppose d + 9 = 4*t, d - 5*t = 199 - 210. Sort g, -5, -13, d in increasing order.\nAnswer: -13, -5, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -76 + 128. Let a = -53.68 + c. Let f = a + -0.32. What is the biggest value in 10, f, 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10*b*s**3 + 457*b*s + 807*b*x - 11*s**3*x + 32*s**2*x + 2*x - 134 with respect to x.\nAnswer: 807*b - 11*s**3 + 32*s**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 27*o**3 - 223*o**2 + o - 244 wrt o.\nAnswer: 162*o - 446","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/13, -10, -0.2, 3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 10. Suppose 2*n - 19 + c = 0. Let m = 0 + n. Does 7 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l + 35*l = 15 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 284*l - 63*l + 7956 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 641450, 641300, 641150, 641000?\nAnswer: 640850","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**3 + 42832 - 42832 + 59*u.\nAnswer: -2*u**3 + 59*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.025 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/8 + 3889*b**2 - 60231965*b\/2 - 2065908850.\nAnswer: -(b - 15590)**2*(b + 68)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3288 - -3291. Which is the second biggest value? (a) 14\/9 (b) p (c) 13 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + 0 - (1 - 1). Suppose -13 = 12*t + 71. Let a be (9 + t)*(-3)\/q. Let s(i) = i - 4. Calculate s(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 12 = -39 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6219 + -6222. Put -2, 6, -27, r in ascending order.\nAnswer: -27, r, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-n - 1 + 1)*(-n + 4*n - n) + (0*n - n - 4*n)*(-3*n + 1 - 1))*(4 + 0 - 6).\nAnswer: -26*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**2 - 4*a + 3. Let v be q(5). Suppose v = m + m. What is the highest common factor of m and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**6*z))**(-25)*(z**(3\/8))**(10\/7) assuming z is positive.\nAnswer: z**(4215\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -l, 0*x + 2*l + 18 = 4*x. Suppose -x*z + 2*j = -0*z - 21, -j - 3 = 0. Solve z*b - 2*u + 25 = 3*u, u - 1 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m**3 - 53*m**2 - 9*m = 0. What is m?\nAnswer: -1\/6, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -176*h + 76*h - 5 - 146*h + (-1 - 1 + 0)*(4 - 4 - 2*h) + 2*h - 5*h + 2*h to c*h + q and give q.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 141279571.\nAnswer: 17, 59, 79, 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11151 + -11150. Let z(o) = -6*o - 7. Determine z(j).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1188605 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -4*b**2 + 46*b + 6. Let a(h) = -4*h**2 + 46*h + 4. Determine 4*a(j) - 3*q(j).\nAnswer: -4*j**2 + 46*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.9 and 0.046417.\nAnswer: 0.0417753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c - 8*p = -4*p - 107, 0*c - 17*p + 487 = 2*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -25*g - 4 - g - 28*g + 42*g. Give l(1).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/9*1023\/(-63085))\/1\nAnswer: -2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (13\/3 + 5 + -7)\/(82\/246). Solve -6*c + y*c + 2 = -2*a, 1 = -a + c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21 - -27. Let u = i - 20. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 3, m: 5, q: 1, p: 8, v: 1, y: 2}. Give prob of sequence uu.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 2*y - 9*w, 2*w = -30163741*y + 30163744*y - 3 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of -b**5\/20 - b**4\/6 - 2*b**3\/3 + 231*b**2 - 5*b + 4. Is 14 a factor of z(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1704 and 132?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -151*s + 169*s + 941*s + 453*s + 106*s.\nAnswer: 1518*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001518368 rounded to 7 dps?\nAnswer: 0.0001518","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 2*k + 14. Let s be n(-11). Is ((-52)\/s)\/(2\/20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/6 - ((-18)\/27 - 0)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j**2 - 2*j**2 - 11*j**3 + (2*j**2 + 2*j**2 - 6*j**2)*(1 - j - 1))*(-2*j + 2*j - j) to d*j + i*j**2 + c*j**4 + w*j**3 + o and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (-5 + 8) - (-17 - -10)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -60*a + 57*a - 6, -4*a = g - 1002. Calculate the greatest common divisor of g and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222+0.047642\nAnswer: 222.047642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*(-16)\/(0 - 4). Let p(y) = 5*y - g*y + 3*y + y. Let c(l) be the first derivative of -20*l**3\/3 - 2. Give p(c(i)).\nAnswer: -20*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 1, a: 12, m: 1}. Give prob of sequence mw.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -b**3 - 16*b**2 - 547*b + 85623 wrt b.\nAnswer: -3*b**2 - 32*b - 547","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -64*b + 59*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7 + (-4)\/14. Let t = -4.2 - -4. Let r = 0.67 + -0.47. Which is the closest to r? (a) -2\/3 (b) t (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i**3 - 33*i**2 - 303*i + 1342. Calculate b(22).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -25*g**4 - 45*g - 65*g + 22*g**4 - g**3 - 6*g**2 as r*g + x*g**3 + k*g**4 + z*g**2 + q and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 738909371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/(-21) + (-52)\/(-14). Let g = 9 - m. Suppose -5*d + 20 = -25. Solve -2*o = -4*w + 2 + 6, w + g*o = -d for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4468301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 7) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 16614956?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q + v = -101 + 106, -5*q - 4*v - 43 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -13*f - 27. What is o(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3 (b) 2\/11 (c) 130 (d) 84\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3632 and 29510?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17536260 by 5.\nAnswer: -3507252","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f - 1. Let z(m) = -m**2 + 27*m - 19. Determine -4*b(k) + z(k).\nAnswer: -k**2 + 19*k - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(1\/16)*v*v**1)**(-41)*(v*v\/((v\/(v\/(v*v**(2\/9)*v)))\/v)*v**(-1\/3))\/(v\/v**1)**(2\/197) assuming v is positive.\nAnswer: v**(-12113\/144)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 560 minutes before 12:03 AM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -678 - -653.4. Let g = c - -26.6. What is the nearest to 1 in g, -2, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 2*h = 1, 2*h - 14 = -10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -28. Suppose -3 = 3*c - 4*r, 2*r + r = -o*c - 2. Put 4, -3, c in increasing order.\nAnswer: -3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*o - 5*t - 23 + 45, -t + 8 = -3*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (4 - 0)*3\/4. What is the third derivative of -4*b**3 + g*b**2 + b**2 + b**2 wrt b?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one fifth of a micrometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-370)\/555*6\/(-40)*-6\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-27)\/(-2) - 80\/(-32). Suppose -5*r - 5*b + 40 = 0, -13*r - 3*b = -i*r. Solve 0 = 3*x + 15, 2*t - 4*x - 18 = r*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**(-1))\/b)**(-2\/21)\/((b**0\/b)\/b**(-5))*((b\/b**(-1))**39)**(-31) assuming b is positive.\nAnswer: b**(-50860\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 5355 and 1237124.\nAnswer: 55670580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 1 = -2*w, 2*y + 2*y + 29 = -3*w. Let p be w*(-1 - (-6)\/9). Solve -4*r + p - 6 = 5*o, 0 = 3*r - 4*o + 27 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39)\/(663\/34)*(-10)\/1.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2276 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -q**3 - 13*q**2 - 12*q. Let x be d(-12). Suppose -5*c = -8*c. Are x and c nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 298957543567 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 13714, -4, -41 in decreasing order.\nAnswer: 13714, -4, -41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152550368?\nAnswer: 2, 127, 37537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 172 + 167.\nAnswer: 339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -b**2 + 2*b**2 + 0*b**2 - 17*b**5 wrt b?\nAnswer: -1020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of -258*i**6\/5 - i**5\/20 - 161*i**4 - 5*i - 499. What is the third derivative of l(o) wrt o?\nAnswer: -37152*o - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -8, -1, -1\/9, 2, 0.09128?\nAnswer: 0.09128","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c - 4*o = -36, 0 = -c + 5*o - 7. Let j be (-10)\/(-3)*(-9)\/(-6). Solve -j*q - c = -q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1845 at most as big as 1843?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*z + f + 4 = 0, 5*z - f = 12. Suppose -u + 12 = z*p, -4*u - 4*p + 6 = -34. What is the least common multiple of u and (-2)\/(-8) + 71\/4?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x - 2*x - 2*x - 6 - 6*x + 6 - 1 + 5*x + 2 - 3*x + (-4 + 4 + 2*x)*(-1 + 4 - 1) + x + 11*x - 3*x.\nAnswer: 8*x + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40*f = -14*f - 130. Suppose b = 2*x + 566, -f*b = -5*x - 3432 + 587. Is b a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26 + 46*z**2 - 201*z**2 + 47*z**2 + 52*z**2 + 57*z**2.\nAnswer: z**2 - 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-32))\/(33\/44).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, j: 3, l: 3, a: 4}. Give prob of sequence jlyl.\nAnswer: 9\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 24477137 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 43.1414 * 0.2\nAnswer: 8.62828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8932.193l?\nAnswer: 8932193","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -2*g - 1. Let d(n) = -n**3 - 6*n**2 + n + 17. Calculate the smallest common multiple of p(-4) and d(-6).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.04, -10, 1, 28, -0.1, 58?\nAnswer: 58","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/720*-4)\/(14\/(-35)).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mrrajpnpj. Give prob of picking 1 j and 1 n.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*v + 12 + 8, 0 = -4*v + 5*x - 30 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -58.3 + 57. Let u = -0.149 - -6.449. Let k = m + u. Sort k, -0.3, 0.3 in decreasing order.\nAnswer: k, 0.3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1827056656?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2\/3, 5\/4, 3\/7, -113?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 650 divided by 402\nAnswer: 325\/201","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(448) - sqrt(448))*6.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 239 is divided by 183?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**4 + 824*a**3 + 54948*a**2 + 1195632*a.\nAnswer: 4*a*(a + 57)**2*(a + 92)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*l - l. Suppose 0*c = -l*c + 60. Calculate the highest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*p + u = 9, 0 = 8*p - 60*u + 56*u - 60 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 11:16 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) - sqrt(567)*1 - sqrt(63))\/(sqrt(18)\/(sqrt(4)\/sqrt(2))) - 5*((-1*sqrt(70) - sqrt(70))*4)\/sqrt(10).\nAnswer: 37*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -530 - -301. Let x = n + 258. Let z(y) = -36*y - 2. Calculate the remainder when z(-4) is divided by x.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -331355\/14892 - -2\/3723. Find the common denominator of g and ((-118)\/18)\/(-1 + (-35)\/(-21)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 8*h - 113 = -4*c, -2*h + 36 = -3*c. What is the remainder when h is divided by ((-2)\/3)\/((-3)\/36)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 31 - 26. Suppose -20 = 5*z - o*d, 5*z + 0 - 4 = -3*d. Which is bigger: z or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -5*x**2 - 36*x - 35. Let l be p(-1). Let k(a) = a**2 - 8. Give k(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -27444 or -25?\nAnswer: -27444","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 - 29. Which is the second smallest value? (a) 0.5 (b) 1\/7 (c) 4 (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2 + 3*n + 1. What are the prime factors of j(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 106560?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 2*n**2 + 1. Let h be x(-2). Suppose 0 = 3*p - 3*t - 51, -2*t - 3*t = p - 29. What is the smallest value in 0.5, p, -0.5, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 + 27.05. What is the third biggest value in u, -1\/9, 0.1?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) 36 (c) 2 (d) -661 (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 4*p + p**2 + 0 + 4*p**2 - 1. Let t be a(-2). Suppose 4*f - 4*j - 164 = 0, -f - 2*j + 16 = -t. Is 9 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:00 PM and 2:28 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -1004363.\nAnswer: 5\/1004363","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(12 - 0)*15.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -h**2 - 24558*h - 2250872 = 0. What is h?\nAnswer: -24466, -92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 49*x + 50. Let f be y(-1). Solve f*i = 4*p + 4, 2*p + 0*i + 2 = -3*i for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/3 - 15\/45 - -4. Solve x + 0*j - j = 0, 0 = -x - n*j + 10 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -3 (b) 14\/155 (c) -1643\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 5551107?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 197 is divided by 46.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 3*y - 5*w, 20*y - 16*y + 2*w - 94 = 0. What is the remainder when 109 is divided by y?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*g**6 - 508*g**4 - 88*g**3 - 73515050*g**2.\nAnswer: -18480*g**3 - 12192*g - 528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 68\/28 + 3*-1. What is the biggest value in y, 2\/9, -0.5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {t: 1, w: 4, a: 4, r: 1, d: 1, c: 3}?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46701634 by -7.\nAnswer: -6671662","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28 - -9. Let m = -16 - p. Suppose 5*z - 323 = a, -5*z + m*z + 2*a = -126. Calculate the highest common divisor of 13 and z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -66 - -78. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*18\/(-6)*8\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4313625 and 11503000.\nAnswer: 34509000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 766910.3us to nanoseconds.\nAnswer: 766910300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-48)\/(-9) + 2\/(-12)*2. Let z(j) = 4*j**3 + j**2 + 14*j - 77. What is the tens digit of z(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 12 = 3. Let s(w) = 6*w + 1 + 11*w**2 + 15*w**2 - 4*w - 10*w**2. Let x be s(-1). Calculate the highest common divisor of k and x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -53884.63273 to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1040 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide -760 by -5.\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14723?\nAnswer: 14723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56*v + n + 3511 = -52*v, 4*v + 3*n = 3483. What is the greatest common divisor of v and 2774?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l**4 + 2*l**4 + 3*l**4 + (-130*l - 101*l - 164*l)*(-5*l**3 + 2*l**3 - 5*l**3).\nAnswer: 3163*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -13641, -91.\nAnswer: -13641, -91, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 - 52*w + 845. Determine k(13).\nAnswer: 507","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjooojjojoooj. What is prob of picking 2 o and 2 j?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 124*r + 20 - 1136. Calculate the highest common factor of 2763 and r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-474)\/1980 + (0 - (-2)\/(-10))\/1 and (-11)\/3*(-21)\/(-60)?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 406 - 198. What is the remainder when y is divided by 34?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 - ((-46)\/12 + 2). Let o = -5\/9 + 2\/9. Sort w, o, -1.\nAnswer: -1, o, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 360 = -3*a + 1086. What is the least common multiple of 33 and a?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + -5 + -5)*12\/360.\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1\/25696 (b) -1 (c) -390 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 14) to base 3\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -143.71 times -0.2\nAnswer: 28.742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1857985 a multiple of 155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = q - 6. Suppose -j + 20 = 4*n, 0*j = -4*j - 5*n + 47. Let s = j + -13. Sort 4, q, s in ascending order.\nAnswer: s, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 3*w + 15. Let n be q(-3). Let p be (9\/n)\/(1\/(-2)). What is the hundreds digit of (0 + 50)\/(p\/(-3 - 3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5685092915 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 332313 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 429024 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 6*p**2 - 3*p - 20. Let y(v) = -7*v**2 + 2*v + 21. Let c(k) = -6*h(k) - 5*y(k). Give c(11).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 2158*k - 26305. Calculate f(12).\nAnswer: -409","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13312 + -10?\nAnswer: -13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5893480 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45*p + 16*p - 37*p = 16*p + 1640 for p.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l when two letters picked without replacement from {l: 9, w: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3753 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_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: Expand (0 + 0 - y - 2)*(-4 + 5 + 1)*(2 - 6 + 2).\nAnswer: 4*y + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5263112.\nAnswer: 2, 53, 12413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dpdzddzzdddzpdz. What is prob of sequence ddp?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 51ee - 136ce?\nAnswer: -d4d0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = 5*o + 76, 2*k - 2*o = 60 - 20. Calculate the smallest common multiple of k and 104.\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -187 in -5, -2.3, 4, 2\/9, 15\/7?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 145 and 72712483.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(700) + -1 + sqrt(700) + -5)**2.\nAnswer: -240*sqrt(7) + 2836","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1840\/(-2944))\/(1*5).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g**5 - 54*g**4 + 4767*g**3 - 28782*g**2 - 43320*g + 67392 = 0. What is g?\nAnswer: -52, -2, 1, 8, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 3, q: 5}. What is prob of picking 2 q and 1 l?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**3 - 3*p**2 - 1. Let v be a(-3). Suppose b - 9 = -2*r, -5*r - b + v = -2*b. Let u be (0 + r)*10\/(-10). Are -1 and u equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -12*d + 4*d**2 - 2*d**2 + 3*d + 3*d**2 - 3. Let k be (-80)\/(-12) - 1\/(-3). Is b(k) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-s**2 - s**2 + 3*s**2)*((3*s + s - 2*s)*(2 - 4 + 0) - 7*s + 2*s + 2*s) to the form n*s**2 + r*s**3 + w + g*s and give r.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -670*k - 4861 - 5144 - 8324 = 11151 for k.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 55 = -3*m, -5*m = 7*o - 3*o - 89. Calculate the remainder when 59 is divided by m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 73 + -73.5. Let q = -14 + 16. Let u = 7754\/17 - 456. Which is the third biggest value? (a) q (b) u (c) 2\/21 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in 0.3, 3, -0.2, 877\/5, -6, -1\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d**2 - 16*d - 8. Let z(w) = 4*w**2 - 49*w - 25. Let b(s) = 7*m(s) - 2*z(s). Does 4 divide b(-13)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -651 bigger than -652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -10*u**3 + u**2 - 3*u + 2. Let s be c(1). What is the lowest common multiple of ((-1)\/1)\/(1\/s) and 12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2289 is divided by 329?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.211748885 to five decimal places.\nAnswer: -0.21175","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15978 - -26809. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 101010000 (base 2) to base 14.\nAnswer: 1a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 45 - 97 + 90*v + 52 to the form t + p*v and give p.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b48b32 + 5?\nAnswer: -1b48b2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate -7988*g**2*j**2 - 6*g*j**2 + g - 2169*j**2 - 82*j wrt g.\nAnswer: -15976*g*j**2 - 6*j**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 877102316?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -45, -50, -57, -66?\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 3*j**2 + 7. Let b(o) = -13*o**2 - 28. What is 2*b(c) + 9*p(c)?\nAnswer: c**2 + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 32140528 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 2*v - 9*v. Which is the smallest value? (a) 1 (b) 5 (c) 0.5 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 - 41*z + 146. Let v be o(37). Let q(w) = 5*w + 4 - w - 2. Calculate q(v).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 7*t - 3. Suppose -6*k = -39 - 15. Let m(s) = -2 - k*s - s + 15*s. Calculate -8*m(r) + 5*u(r).\nAnswer: -5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**3\/19 - 214*z**2\/19 + 390*z\/19 + 3150\/19.\nAnswer: 2*(z - 105)*(z - 5)*(z + 3)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (50 - (37 + -28)) + -23\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5314 is divided by 63.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2671525707?\nAnswer: 3, 17, 52382857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20 = -5*x + 4*p - 3*p, 199*x + 6*p - 86 = 195*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y = -20. What is the least common multiple of y and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88) - -1*sqrt(88)*6)\/((sqrt(110) + sqrt(110)*-2*6)\/sqrt(10)).\nAnswer: -14*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 4. Let z be 2\/8 + 68\/(-16). Let w be m(z). Let u = -21 + 20. Sort -2, u, w in increasing order.\nAnswer: -2, u, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21966831?\nAnswer: 3, 19, 128461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 478 - -15635?\nAnswer: 15ab1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3867*10\nAnswer: -38670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -l**3 + l**2 + 7*l - 117. Give o(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4be6d3 + 1?\nAnswer: 4be6d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11242.8 + -11243. Suppose -5*i - g - 14 = 2*g, 4*i + 5*g + 19 = 0. Which is the fourth smallest value? (a) i (b) 0 (c) -2\/3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 53*g - 31. Let m(u) be the third derivative of 79*u**4\/24 - 47*u**3\/6 + 10*u**2. Let n(j) = -8*c(j) + 5*m(j). Is n(-4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 52881 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -38 - 34. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 202\/6 - 160\/240?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23\/3 of a week?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2681 and 1437?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -885 (base 16) to base 15\nAnswer: -9a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 106927 and 69.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6130 + -18802\/3. Let z = x + 138. Suppose -7 = 5*p + 3*i + 15, 0 = -4*p + 3*i + 4. What is the second smallest value in p, z, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5a (base 14) to base 7.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3975.\nAnswer: 3, 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*p**4 + 665*p + 678*p - 1400*p to n*p**4 + m*p**2 + g*p + x + j*p**3 and give g.\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*n + 12 = -14*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-6)\/24)\/((-15)\/24). Let y = -1496.6 - -1497.1. Let g(k) = -k - 6. Let n be g(-7). Which is the third biggest value? (a) y (b) 8 (c) n (d) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - 1 - -5 - (-358 - -356).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*u + 4*u**3 - 1 + 5*u**2 - 5*u**2 in the form t + m*u**3 + b*u**2 + g*u and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11*1*2\/(-10)*(-257)\/(-257)?\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 23388115.\nAnswer: 9355246","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 10 = -80. Is 25 a factor of 306\/l*20\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 25\/(-150)*6*6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 495105820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**3 - u**2 + u + 2. Let p(h) = 7*h**3 - 4*h - 16. Let a(n) = p(n) + 6*v(n). Suppose -8 = -4*z, -y + 2 = -z - z. Determine a(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (182\/(-28) + 5)*2\/12?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18 + -17 + 13 + 25 - (1 + -1)) + 11.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*t + 5. Let r be t - 3 - (-15 + 1). Suppose 3*y - 2*y - 1 = 2*w, w = -4*y + 22. Solve w*i + r = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 e when four letters picked without replacement from {q: 3, e: 16, r: 1}?\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, -7, -0.2, -4, 3\/658 in decreasing order.\nAnswer: 3\/658, -0.2, -4, -7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*x - x - 6*x)*(x**3 + x**3 - 6*x**3) - 278 + 19*x**4 - 274 + 553 to q*x + f*x**3 + o*x**2 + n*x**4 + i and give n.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23 is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 357\/13 + -4983\/182. Find the common denominator of -31\/910 and r.\nAnswer: 910","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 21*m**5*x**3 + 17*m**5*x - 2*m**2 + 14*x**3 wrt m?\nAnswer: 1260*m**2*x**3 + 1020*m**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -308712415?\nAnswer: 2\/308712415","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-2)\/15)\/(4\/5))\/((-25408)\/4764)?\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 y when four letters picked without replacement from {p: 13, y: 5}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 5\/41, -3\/4, 0.3?\nAnswer: 5\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25677 and 83592?\nAnswer: 26498664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l**2 - 3*l**2 - 7*l**2 + 4*l - 4*l - 2*l**2 + 3 - 2*l**2 - 3 + (-2*l**2 + 2*l**2 - 2*l**2)*(5 - 3 - 1) + l - l - l**2.\nAnswer: -21*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 18*x**2 + 179*x - 215. Is c(46) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216b3 (base 14) in base 2?\nAnswer: -10011110000001101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**2 - 3*c + 3. Let g = 7 - 10. Let w be o(g). Let q = 6 - w. Put 2, -5, q in decreasing order.\nAnswer: q, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/1*(-2)\/4. Suppose 5*y = 3*l - 5, 2*y - l + 9 = 7. Let u be ((-34)\/(-204))\/((-4)\/18*y). What is the closest to u in 2\/3, 5\/2, o?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25 + 3 - 106 - 3 - 5*i + 81 + 0*i.\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -6 + 6 - (0 + -1 - 21). Solve 0 = -c + 3*q - 0 + 2, -r = 3*c + 5*q for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4900, -4886, -4872?\n\"Answer: 14*g - 4914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -7*q**2 - 4*q - 11. Let l be f(6). Let j = -138 - l. List the prime factors of j.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -22036159\/4, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11 - 6. Let n = -4.7 + a. Let k = 0 + -1. Sort k, -5, n.\nAnswer: -5, k, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5 = 2*p, 3*p + 2*p + 50 = -5*v. What are the prime factors of ((21\/(-6))\/p)\/(5\/50)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -27*s - 1. Let f be y(-3). Let v be f\/6*(-180)\/(-100). Suppose -3*d = 6 - 54. What is the highest common factor of d and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 345095.\nAnswer: 5, 69019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -728 + 729. Which is bigger: 2\/2283 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5\/4, -3, -2.3, 2\/3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 186*c + 187*c + 16 + 10*c.\nAnswer: 383*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2913 and 21?\nAnswer: 20391","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 35464 + -35464.2. Let b = -0.6 + 0.3. Let y be ((-1)\/3)\/((-10)\/6). What is the nearest to d in 2, b, y?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 11403345?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1584\/49, 128, -23?\nAnswer: 128","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/1)\/((-27)\/396*-11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 3*p + 27 + 90, 2*o + 3*p + 58 = 0. Let a = -35 - o. What is the second smallest value in -0.4, a, 1\/7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, h: 2}. What is prob of picking 2 i?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of 5*a**4\/4 + 5*a**3\/3 + 7*a**2\/2 + 1. Let b(i) = 2 - 63*i - 2*i**3 - 2*i**2 - 63*i + 123*i - 2. Calculate 7*b(d) + 3*w(d).\nAnswer: d**3 + d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2654951\/70 + -37929. Calculate the common denominator of t and -57\/280.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -6*a**2 + 4*a + 9. Let q(r) be the second derivative of r**4\/12 - r**3\/6 - r**2\/2 - r. Let l(n) = -k(n) - 5*q(n). What is l(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5 in -4, 106, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 163 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.3822 - -0.3822. Is m >= -121?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4 + ((12\/(-1))\/(-3))\/(-1). Suppose g = -5*s + 4*s + 1. Suppose 10 = -3*z + 1. Put 12, s, z in decreasing order.\nAnswer: 12, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -d**3 - 25*d**2 + 25*d - 23. What is q(-26)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 - 22. Suppose -1 = -f - v. Suppose -4*k + 50 = k. Calculate the smallest common multiple of k and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.384903 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 92090 greater than or equal to 92085?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) 0.1 (c) -18 (d) 5 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24232, 24189, 24146, 24103, 24060, 24017?\nAnswer: 23974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -1554*x - 5. Let q be k(2). Let c = -1456 - q. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5189 is divided by 247.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -41*t**3 + 2*t. Let b(g) be the third derivative of -41*g**6\/120 + g**4\/8 + 41*g**2 + 3*g. Calculate -2*b(q) + 3*x(q).\nAnswer: -41*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 216390\/(-1800)*2*(0 - 2)*-3. Do -1443 and k have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 43 and 989.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/4 of a hour?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3626*d**3 + 8306*d**3 - 1800*d**3.\nAnswer: 10132*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - w = -5*j + 7, 0 = 4*j - 5*w + 7. Suppose j*v + 2 = 4*v. What is the units digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 divided by 69\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**6\/10 - 27*y**5\/20 - 11*y**4\/2 + 48*y**2 + 345*y. Factor s(r).\nAnswer: -3*(r - 1)*(r + 2)*(r + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 29? (a) 5 (b) 2\/21 (c) 2\/3 (d) -0.2 (e) -8293\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4314702 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*n**3 + 30*n**2 + 99*n + 77415 wrt n.\nAnswer: 12*n**2 + 60*n + 99","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -p**3 - 6*p**2 + 3*p + 14. Let o be j(-6). Calculate the common denominator of -21\/10 and 89\/(-3)*o\/96*-9.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.01 + 3. Let y = 0.69 - o. Let h = y + -0.69945. What is h rounded to four decimal places?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*m**3 + 8*m**2 + 147*m**2 + 8*m**2 + 131*m**2.\nAnswer: -4*m**3 + 294*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5\/275*2*-5.\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3363.\nAnswer: 3, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*2*3*6\/18.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 5*d**2 - 4465*d + 8910 = 0.\nAnswer: 2, 891","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g - 4*g + g)*(7*g + 11 + 10 - 16).\nAnswer: 7*g**2 + 5*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 14*g + 26. Let x be h(13). Let r(q) = -6 + 2*q - q + 0*q + 7*q. Let z(a) = -17*a + 13. Give x*r(f) + 6*z(f).\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 153669531?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.4 - 0.2. Let a = 430.5 + -431. Let n be 4\/10 - 9\/35. Sort l, a, n.\nAnswer: a, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 104?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -422*g - 2 - 1 + 340*g + 1 to the form d + q*g and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.1+-3199\nAnswer: -3198.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 53 - 3 = 0. Let k be (-726)\/(-15) + (-4)\/x. Suppose 0 = -3*o - o + k. What are the prime factors of o?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r = -n - 313 + 440, 105 = 9*r + 4*n for r.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7 and -2 - 4\/(-6)*12\/1.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.22 + -0.72. Let j = 672 - 671.94. What is the smallest value in -2, j, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -614318000 to the nearest one million.\nAnswer: -614000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 312 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3\/1*12\/(-21)*(-623)\/890\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((sqrt(2) + -1)*2 + -3)*-3 + -3*(0 + 2 + sqrt(2) + 0)**2.\nAnswer: -18*sqrt(2) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/((-26)\/12)*2\/4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000011802022543 rounded to seven dps?\nAnswer: 0.0000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19565.17 and 0.041.\nAnswer: 802.17197","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + -40 + 19 + 5 + 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(0 + sqrt(3)) + (sqrt(576)\/sqrt(12))**2.\nAnswer: 4*sqrt(3) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 5.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 988.7 + 8.1.\nAnswer: 996.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -462 bigger than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + 28 + 4 + (153 - 261)?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**2 + 37173560*g + 37173564.\nAnswer: -4*(g - 9293391)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -32936 less than or equal to -32730?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**3 + 11*t**2 + 72*t - 701. Determine x(12).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u + 4 - 31 = 0. What is the greatest common divisor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 8*n - 5*n**2 - 5 - 16 - 25*n. Let p(h) be the third derivative of h**5\/60 + h**4\/6 + 5*h**3\/6 + 875*h**2. Give 2*b(s) + 9*p(s).\nAnswer: -s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.293478 rounded to one decimal place?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or -12\/83?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 4*v**2 + v - 1. Let y be c(4). Suppose 0 = 4*i - 16, y*i = l + 4*l - 353. Calculate the remainder when l is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:51 PM and 2:22 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccycchchggcccy. Give prob of picking 2 g and 1 y.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -490.999999703 + 491. What is x rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2466*f**3*t**2 - f**3*t - f**3*w + 18*f**2*t**3*w - 8*f**2 + 115*f*w - 9*t**2 + 21*t*w wrt t.\nAnswer: -4932*f**3 + 108*f**2*t*w - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 51\/9 - 4\/(-12). Let v(a) = 4*a**3 + 2*a + 2. Let m(j) be the second derivative of j**5\/4 + j**3\/2 + 3*j**2\/2 - 395*j - 2. Determine l*v(y) - 4*m(y).\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 33 + 28 + -36\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -21 + 31. Let j(b) = -b**2 + 11*b - 6. Let a be j(10). Let u = a - 0. Solve t + z = -u*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 19 - 18.9999958. Round r to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 minus -23841943?\nAnswer: 23841937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.6 - 0.4. Let o = 137 + -683\/5. Let b = 1.3 - 0.3. What is the third smallest value in o, i, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 1:00 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find v such that -v**4\/3 + 34*v**3\/3 + 253*v**2\/3 - 478*v\/3 - 560 = 0.\nAnswer: -7, -2, 3, 40","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*l**3*w**4 - 33*l**3*w**3 - 2*l**3*w**2 + 279*l**3 - 2*w**4 wrt w?\nAnswer: -96*l**3*w - 198*l**3 - 48*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.4 + 2.86. Let g = 0.5 + x. Let b = -2.96 + g. What is the third biggest value in 3, 0.1, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -7*j**2 + j**3 + j + 3 - j**2 - 3*j**2. Suppose -2*a + 80 = 2*a. Calculate the lowest common multiple of t(11) and a.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 2*t**2 - 3. Let q be w(-6). Suppose q = 3*s - 0*s. Calculate the remainder when s is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qnnp when four letters picked without replacement from {b: 3, e: 1, p: 1, q: 2, n: 7}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -51, 971, -7?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*d - 3*d - d**5 + 3*d + (3*d**2 - 2*d**2 - 2*d**2)*(-2*d**3 + 3*d**3 - 3*d**3) - 5*d**5 - 6 + 6.\nAnswer: -4*d**5 + 6*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.095 + 0.395. Let z = 16 + -19. Let q = -4 + 7. What is the biggest value in z, d, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -8. Suppose h = 5*r - 9 - 41. Suppose 5*g = x - 2*x + 11, 0 = -4*x - 3*g + r. Is x at least 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 11*u**3 - 2. Let d(p) = -45*p**3 + 9. Calculate -2*d(k) - 9*z(k).\nAnswer: -9*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 146 (base 11) to base 7\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*l + z - 5*z, -z + 13 = 2*l. Sort 14, -5, -1, l.\nAnswer: -5, -1, l, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -73*u**2 + 507*u**2 - 176*u**2 to the form n + o*u + x*u**2 and give x.\nAnswer: 258","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-198 - 105 + 42)*(-3*f**2 - 2*f**2 - 8*f**2).\nAnswer: 3393*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -3436 (base 8) in base 12?\nAnswer: -107a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 18\/5 of a kilogram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 12 or 1254\/109?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 133 + -121315?\nAnswer: -121142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 285349 and 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c = 4*q + 19, 21*c - 25*c = 12 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 4, t: 10}. Give prob of picking 4 a.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 - (8 + -21))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a when two letters picked without replacement from {a: 6, s: 4, q: 1, n: 2}.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -33 divided by -1\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1110404792 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**2 + 98162*u - 5109832.\nAnswer: 2*(u - 52)*(u + 49133)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8249*o**2 + 4*o + 4373*o**2 + 3860*o**2.\nAnswer: -16*o**2 + 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 - (-9)\/(9\/20). Let k = -5 + u. Suppose 24*m + 35 = 3*r + 19*m, -4*r + 24 = -m. Calculate the remainder when k is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**4*m - 22*g**3*m - 14*g**2*m - 19*g + 2*m + 34 wrt g?\nAnswer: 12*g**2*m - 132*g*m - 28*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m + 40 = -80. Let r = -49 + m. Suppose -r*l - 74 = -12*l. Calculate the remainder when l is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3931 is divided by 389?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -53*l + 200 + 532 = 130*l. Solve 3*s = 5*v, 0 = l*v + 44*s - 40*s + 32 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58436 is divided by 23.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01179 rounded to 4 dps?\nAnswer: -0.0118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2347 divided by -1010.\nAnswer: -2347\/1010","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 333114 to the power of 1\/2, to the nearest integer?\nAnswer: 577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 336 divide 263987029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*y - 73*y = 4*z - 41, -4*y = 5*z - 53 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*1*(-283556 - (-13 + -3)) - -1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 346.819422 + 0.5?\nAnswer: 347.319422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m - 8 = -2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 + 3*y + 3. Let l(s) = -s**3 + 5*s - 4. Let w be l(2). What is t(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*m - 183*m**5 - 93*m**5 - 3*m**2 + 270*m + 4*m**2 wrt m?\nAnswer: -16560*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from llaqaqaaaaalqlal. Give prob of picking 2 l.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -41 - 34 + b**3 + 110. Let x(u) = 3*u**2 - 5*u**2 - 10*u**2. Give q(x(c)).\nAnswer: 432*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -100001 (base 2) in base 9?\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/12)\/(24\/16)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16765 - 27825. What is a rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, f: 11, d: 2, b: 1}. Give prob of picking 2 h and 1 f.\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 257*i + 1284. Let t be s(-5). Which is bigger: -2\/6595 or t?\nAnswer: -2\/6595","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 14*h**2. Let d(f) = 2474233*f. Determine l(d(i)).\nAnswer: 85705605136046*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-4))\/((-2)\/((-32)\/(-4))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*l**3 + 546*l**2 + 549*l.\nAnswer: -3*l*(l - 183)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 161031.3 times -6?\nAnswer: -966187.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 31107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + i + 5, 3*i + 14 = m. Suppose s + m = 5*y + 2*s, y - s = 1. Solve 0*w + 24 = 4*w - 2*x, 5*w - y*x - 28 = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6403 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 5802, 5734, 5666, 5598, 5530, 5462?\n\"Answer: -68*r + 5870","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/5, -0.3, 4\/7, 0.1, -131\/2, -113?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(136\/(-8))\/(-51)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -45 + 43. Sort 3, g, -4, 0.5 in ascending order.\nAnswer: -4, g, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-4)\/(-328)) - (-11 + (240\/20 - -10))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1 (b) 10 (c) -5 (d) 124.14 (e) 2\/9 (f) -3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -8*d**3 + d**2 + 4*d + 3. Let a be i(-1). Suppose a = -16*f + 8*f. List the prime factors of ((-6)\/f)\/(5*(-3)\/(-150)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3352822.98 to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.2079779 * -1\nAnswer: -0.2079779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/18 - 8\/(-36)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 39*b**2 + 6*b + 1. Let l be s(-3). Let g = l - 122. Suppose 5*t - 159 = -6*f + 3*f, 0 = -4*f - t + g. What is the tens digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -251*h**2 + 2 - 60*h**2 + 9*h**2 + h - h to d*h**2 + w + o*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*n**3 - 43634830 + 21817417 + 21817413.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 665\/105 - (8 + -1) - (-4)\/33?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-54)\/(-192))\/((-9)\/60) + 3 + -1. What is the nearest to -2\/57 in -0.2, d, -10, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 126528 and 128505?\nAnswer: 1977","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -2 and -3624.\nAnswer: -3626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 21\/2 of a century?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550)\/sqrt(44) + sqrt(50) + sqrt(50))\/(1*sqrt(2)*-2))\/(sqrt(2000)*2*4)*-4)**2.\nAnswer: 5\/1024","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 832 and 23907?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-31 + 7 - (14 + -25)) + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 60, 5, 4, -4, -23, -28 in ascending order.\nAnswer: -28, -23, -4, 4, 5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/3*174*5\/15*(-11)\/22.\nAnswer: -116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ox when two letters picked without replacement from roxo?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 99*l - 199*l - 108*l + 624 = 0 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 x when two letters picked without replacement from xabatxbtatbtbx.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*x - 20 - 190. Let y = -21 + x. Solve 2*z - d + y = -2*d, 2 = -z - 3*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + 5*c - 8. Let w be u(-6). Let m = w + 5. Suppose 8*r - 9*r = 0. Solve -2*v + 5*h = 3 + 3, r = m*v + h - 8 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + 2 - sqrt(567))*6 - 5*(sqrt(567) + -2)) + 3*-2*(sqrt(567)*-2*2 + sqrt(567)) + -4)**2.\nAnswer: 4212*sqrt(7) + 96147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3\/11 (b) -2 (c) 2 (d) 460\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(85\/(-20))?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-3) - (-2)\/(-6). Suppose 0 = 3*j - b + 9, -x = -5*j - 3*b - 2*b. What is the tens digit of ((-42)\/35)\/(j\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-4)\/(m*m*m*m**(10\/3))*m\/(m**(-11\/5)\/m)*m\/(((m\/(m\/(m\/m**(3\/8)))*m*m)\/m)\/m) assuming m is positive.\nAnswer: m**(-691\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + -2. Let v = 2847 + -2714.9. Let x = -132 + v. Which is the second biggest value? (a) x (b) -1 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 29*h + 18 = 0. Suppose -5*m + 17860 = -5*u, -3*u = -h*m + 2*m + 3574. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -649461 divided by 5851\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -30b0 + 6114?\nAnswer: 3024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010000110111110 - 10?\nAnswer: 100010000110111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 99\/8*p**3 + 207\/8*p**2 + 0 + 105\/8*p - 3\/8*p**4.\nAnswer: -3*p*(p - 35)*(p + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 5*s - 32 = 0, 4*s = 4*n + 8*s - 64. Let t = -9 + n. What is the remainder when t is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -7*b - 65. Let i be t(-12). Let z be 3 + 5 + 4\/1. Suppose 2*k = -3*u - 0*k + 20, z = -u + 4*k. Solve -i = u*n + 1 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3412200566?\nAnswer: 2, 31, 271, 311, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-2))\/((-16)\/448)*(-10)\/7?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the third derivative of 1\/24*b**4 + 0 - 5*b**2 + 0*b**3 + 0*b. Let n(r) = -3*r**2 - 31642*r + 31642*r. Give n(k(a)).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 391 (base 10) in base 6?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 227 = 2*o + 241, -4*v - 12 = -4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -24*j**2 - 14*j. Let o(d) = 5*d**2 + 3*d. Let h = -2 - 12. Let y(t) = h*o(t) - 3*c(t). Solve y(b) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide (242 + -2)*-2*(-6)\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4075802 divided by -24406.\nAnswer: -167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 less than 172846197434?\nAnswer: 172846197391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 81, 118, 177, 258?\nAnswer: 361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/6 and -167\/378?\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 26237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 246 and 27372.\nAnswer: 1122252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 19 + 5)*(-n**2 - 2*n**2 + 2*n**2) - 2*n**2 - 3*n**2 + 3*n**2.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 3 - (21 + -20) - -12?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 88*y**3 - 5 + 3 + 49*y**3 + 38*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 64\/7, -26, -35\/17 in descending order.\nAnswer: 64\/7, -35\/17, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1160482542*h**4 - 169427604*h wrt h?\nAnswer: -13925790504*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 75\/136 - 3\/8. Let p = h + -26\/51. Is -33 smaller than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when -12 + (-16)\/(-4) - (-11 - (10 + 6163)) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1038 (base 11) in base 5?\nAnswer: -20442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -5*b. Let c(m) = m + 2. Let j(p) = 4*p + 9. Let x(u) = -18*c(u) + 4*j(u). Determine w(x(s)).\nAnswer: 10*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4 - -7) + (2 - 0). Suppose -48 = -2*l + 4*y, -3*l + 0*l = r*y - 72. Let n = -15 - -31. Solve -5*b + n = -3*v - v, -4*v + l = 5*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1119906093.\nAnswer: 3, 17, 31, 708353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 236*d**2 - 45*d + 87. Calculate r(2).\nAnswer: 941","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5 + -1. What is the derivative of 7 - 3*o + 3*o - o**l wrt o?\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence baba when four letters picked without replacement from baaababbbabbaaabab.\nAnswer: 6\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -8645 or -112371\/13?\nAnswer: -8645","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*f + 360 = 19*f + 21*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (5 - 8)*(-1 - -8). What is the units digit of (-242)\/(-5) + h\/(-35)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31 + -6 + 3 + 0. Suppose 4 = 2*k - u. What is the remainder when 47 is divided by k?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, 2\/35, -0.4, 0.5?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -c**6\/2160 - c**5\/60 - c**4\/4 - 11*c**3\/6 - 30*c**2. Let x(m) be the first derivative of v(m). Let x(d) = 0. What is d?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(-2) - (-3211)\/(-26). Let f = g - -118. Let p(v) = v**2 + 4*v - 8. Calculate p(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d = 4*g, -3*d - 5*g = 6. Suppose -u - d = -1. Let h(m) = m - 3. Let p be h(-2). What is the second smallest value in u, -2\/9, p?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -5*x + 73. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -4*v + o + 3*o, 2*o = -2*v. Suppose x + s - 2*s = 1, 5*x = -3*s - 11. Let w = v - x. Solve -w*p + p - 8 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - 825 - 3 - 1. Let y = 2088 + l. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 3*p - 4. Factor 4*j**4 - 28*j**2 - 3 + p*j**5 - 14*j - 1 + 12*j**2 - 4*j**3.\nAnswer: 2*(j - 2)*(j + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 41 (base 14) to base 10\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -265 - 30. Let p = -296 - h. Is p > -3\/115?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2795 + 73*p - 2795 to r + s*p and give s.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*2\/9*(-88)\/((-1936)\/(-825)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 + -9. Let r be (-6)\/v + (-12)\/8. Solve r*g = g + 3 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -104312 + 230245?\nAnswer: 121533","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2460 - 162. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -979*r + 7826. What is t(8)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -117, -3, 157, -0.05, -0.2, -4 in increasing order.\nAnswer: -117, -4, -3, -0.2, -0.05, 157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 3*h**2 + 178*h + 2498. What is n(-38)?\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 3\/(-3)*(1 + 0). Let r(c) = -13*c**2 - 9*c. Let m(h) = -6*h**2 - 4*h. Let u(y) = -7*m(y) + 3*r(y). What is the units digit of u(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1348146566 to the nearest integer?\nAnswer: 1105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1216 is divided by 111?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-103)\/(-78) - 16\/(-18)*5679\/(-32812)\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - 744?\nAnswer: -745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16408 to 3 dps.\nAnswer: 0.164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from fbbbf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(486)*6 - sqrt(486))\/(sqrt(15)\/(sqrt(5) + 6*sqrt(20)\/sqrt(4))))**2.\nAnswer: 198450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 11:04 AM?\nAnswer: 5:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/4))**41)**18 assuming s is positive.\nAnswer: s**(-369\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50 - 46 = 2*f. Sort 4, -4, f, -7 in increasing order.\nAnswer: -7, -4, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6581062\/8 - 217\/620*(5 + 0) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -70*p. Let l(n) = 646*n**2. Give l(t(u)).\nAnswer: 3165400*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -2*j + 36, 2*a - 15 = -j + 3*a. Suppose -j = -6*m + 3*m. Find the third derivative of -3*v**5 - 10*v - m*v**2 + v + 9*v wrt v.\nAnswer: -180*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*a**2 + 2*a**2 - 9*a**2 - a as z + s*a**2 + w*a and give s.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1133*h - 1149*h = 0. Solve h = 11*u + 9*u - 40 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 - -1.3. Let z = a + 0. What is the third biggest value in z, -5, 5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13136 divided by 46\nAnswer: 6568\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 102 a factor of 4726?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -3*r - 4*o, 1197*r + 1191*r + 3*o + 16 = 2381*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -u - 13*u**3 - 67*u**3 + u.\nAnswer: -80*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 68273306 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from {h: 4, o: 7}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 3 - 9 = 0. Let c = -5 - w. Let v(o) = 5*o**2 + 2*o - 1. List the prime factors of v(c).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (124\/6)\/(((-12)\/117)\/(-52 - (-8088)\/156)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 135639888, 135639889, 135639890?\n\"Answer: q + 135639887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + 6 + 0\/2. Suppose p + 545 = -2*h + y*h, 2*h = -4*p + 1060. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.414792845 to 2 decimal places.\nAnswer: -0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7769361 micrograms to kilograms.\nAnswer: 0.0000000007769361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -606 - -99. Let s = m - -755. Suppose 0 = 6*h - 2522 + s. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i + 20. Let p be -11 - -11 - 0\/1. Let k be f(p). What are the prime factors of 5*((-96)\/k)\/(-2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2392)\/39)\/23*(-13017)\/4. Suppose 3*u - 11311 - a = 0. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 2\/5, 4, -0.2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 3*g**2 - 2*g. Let h(r) = -5*r**2 + 4*r + 1. Let q(k) = -h(k) - 2*x(k). Calculate q(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -2 - -1) + 3. Suppose -v*g = -g - 14. Suppose -d = x - 3*x + 7, -4*x = 5*d + g. Solve -n = -5*j + 18, -3 = -2*j - j - x*n for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t - 1245. Let d(b) = 11*b**2. Give o(d(c)).\nAnswer: -11*c**2 - 1245","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55418 - 30420 = -6707*k - 33228 + 54702 for k.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -4*w + 10. Let y = 49 - 7. Let z be (-4)\/6 - (-2)\/(y\/(-91)). Let f(d) = -3*d + 7. Give z*a(k) + 7*f(k).\nAnswer: -k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 16*g - 11*g. Suppose g = -2*j + 4 - 0, -5*s = 5*j - 31695. Suppose -6*n + 2*n + 3*m + s = 0, 0 = 5*m - 5. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3 + 542756456?\nAnswer: 542756453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 34 = 3*y, 4*l - 59 = 2*y + 47. Suppose 0 = -4*i, -3*i = 7*d - 2*d - l. Suppose -d*s = -10*s + 120. What is the remainder when s is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:11 PM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/(-3))\/(((-3)\/(-36))\/(15\/80))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -1*sqrt(1008) + -2 + -3 + -2*sqrt(1008)*-2.\nAnswer: -1 + 36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 70841803 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -56.22 < 425?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 15*u**3 - u**2 + 2*u - 2. Suppose -15*w + 12*w = -9. Let k be d(w). Suppose -3*x - g + k = 0, -20 = -9*g + 4*g. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -19*u**4 + 26*u**3 - 34*u**2 - 4*u + 10. Let f(p) = 6*p**4 - 9*p**3 + 11*p**2 + p - 3. Let h(b) = 21*f(b) + 6*y(b). Suppose h(r) = 0. What is r?\nAnswer: -1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 4*m, 3*q - 2*m + 5*m = 0. Suppose -5*u = -q*v - v - 5, 47 = 5*v - u. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*14\/42*(-52)\/(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186, -372, -558, -744, -930?\n\"Answer: -186*o","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -204, 21, 734 in descending order.\nAnswer: 734, 21, -204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -724, -1431, -2246, -3169?\n\"Answer: -54*g**2 - 545*g - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.5 (b) -5 (c) -141 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express l + l**4 - 3 - 150880*l**2 + 150880*l**2 - 7*l**3 as f*l**2 + x*l**3 + y*l + r*l**4 + t and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 25 - 14. Let m be (-40)\/15*1*3. Let k = m + y. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -j - 26*j**2 + 26*j**2 + 12*j**3 + 6*j wrt j.\nAnswer: 72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.06351 and 0.1.\nAnswer: 0.006351","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-329)\/(-35) + 2\/(-5). What are the prime factors of 14\/(-63) + 326\/y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1076022, -2152040, -3228062, -4304088, -5380118?\n\"Answer: -2*w**2 - 1076012*w - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-416)\/(-20) + 2\/10. Suppose -t = -4*z + 11. Let n = -5 + z. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 1728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*g*i**3*u**2 + 2*g*i**3*u + 10*g*i**2*u + 6*g*i**2 + 2*g*i*u**3 - 5*g*i*u**2 - 10*g - 101*i**3*u**3 wrt i?\nAnswer: 54*g*u**2 + 12*g*u - 606*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 5 (b) -0.1 (c) 0.04 (d) -760\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1750, -3551, -5394, -7273, -9182, -11115, -13066, -15029?\n\"Answer: c**3 - 27*c**2 - 1727*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -222*n = 44*n + 13300 for n.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -82 - -302. Does 57 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.05 and -11944.\nAnswer: -11944.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 8906303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -5. Let s = p + 1. Which is smaller: -2\/5 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, e: 2, q: 4}. Give prob of sequence qe.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g. Let n(t) = -2*t**3 - 7*t**2 - t - 1. Let s be n(-5). Let o = -69 + s. Let y(f) = f + o*f + 2*f. Determine z(y(i)).\nAnswer: -13*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142966.98 rounded to the nearest 100000?\nAnswer: 4100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -99*o + 216*o - 3 - 109*o. Let x(h) = -h + 1. Calculate k(b) + 3*x(b).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (34 - (53 - 31))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 187723463 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 161237 + 25582 = 0. Suppose 8*j - k = -3481. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -144*x - 11010 = -511*x. Calculate the highest common divisor of 2850 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 201684999.\nAnswer: 3, 23, 113, 25867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(-2\/25)\/c)**(-4\/9) assuming c is positive.\nAnswer: c**(8\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 - 13*r + 24. Calculate the smallest common multiple of s(-11) and 14.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/90 and 143\/5790.\nAnswer: 17370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(3\/7)*f)\/(f**(-4\/5)\/f)*(f\/(f**(2\/9)\/f))\/f*f**(-3\/2))**(-4\/7) assuming f is positive.\nAnswer: f**(-4418\/2205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1391625 divided by -3\nAnswer: -463875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/41 and 67\/38.\nAnswer: 1558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/31 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2166 - -28170\/13. What is the closest to -0.1 in -5, m, 5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 59961 divided by -11\nAnswer: -5451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 344226 is divided by 31266.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -30 + 30. Suppose f = 4*m - 1021 - 655. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 202011 - -22?\nAnswer: 202110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87976504?\nAnswer: 2, 7, 11, 251, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in twenty-six fifths of a meter?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -126, -178, -314, -576, -1006, -1646, -2538, -3724?\n\"Answer: -7*p**3 - 3*p - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 1)*(0 - 2*b**3 + 0)*(-7 + 6*b + 7).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1927303 (base 10) to base 5\nAnswer: 443133203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 7 (b) 566 (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 + 356*x**2 + 2566*x + 4440.\nAnswer: -2*(x - 185)*(x + 3)*(x + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 2\/21 (c) -3.5 (d) -29\/7 (e) -8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - ((9 - (1 - 0)) + -16).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*n**2 + 37865*n + 57901610.\nAnswer: 5*(n + 2126)*(n + 5447)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 2*m + 7*m)*(-4 + 0 + 5)*(-11*m - 28*m - 52*m)*(6*m**2 - 4*m**2 - 3*m**2) + (3*m + 3*m - 4*m)*(m**2 - m**3 - m**2) + 0*m**4 + 0*m**4 - m**4.\nAnswer: 361*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-44175646)\/(-912))\/(((-27)\/(-2))\/3). Let r = 10763 - a. Calculate the common denominator of 125\/6 and r.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 122931\/4553 + -1 + 42.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/45 + 223\/90. Let s(v) be the second derivative of 1\/20*v**5 - 5\/6*v**3 - o*v**2 + 1\/4*v**4 + v + 0. Determine s(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2)\/(h**0*h))**(3\/13)\/(h**(-1\/3)*h\/(h\/(h\/h**(-2\/3)))*((h\/(h*h**(-2\/5)*h))\/h)**9) assuming h is positive.\nAnswer: h**(2413\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22100 (base 3) to base 14.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**3 + 9*o**2 - 8*o + 7. Let w be q(8). Suppose 0 = -c - 0*c. Does 10 divide -1 + c + 14 + w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0.15 (b) -2 (c) -2.37 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 7:52 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 10*d + 3. Let s = 45 - 55. Give r(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 260*f**3*z**5 - 5199*f**3*z**2 + 4*f**3 - 7*z**5 wrt z.\nAnswer: 15600*f**3*z**2 - 420*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hchl when four letters picked without replacement from {l: 5, h: 8, c: 1, m: 5}?\nAnswer: 35\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -5*p**3 + 2*p + 1. Let j(u) = u**3 - 7*u**2 + 5*u + 5. Let c be j(6). Let n be o(c). Let v be 7 - (-2)\/(n\/(-6)). Solve v = -4*y - 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1662*q = -1663*q - 2, 3*q - 8 = 2*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*g*n**2*t**2 - 2*g*n**2*t - 15*g*n*t**2 - 23*g*n + 4*g*t**4 + 27*g*t wrt t.\nAnswer: 8*g*n**2 - 30*g*n + 48*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.5 + 3.9. What is the closest to 2 in f, -2, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 + -216. Is p a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*x**2 - 3 + x**2 - 10 + 13.\nAnswer: -9*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13278 or -12.624?\nAnswer: -13278","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:34 PM and 6:59 AM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 493, 499, 505, 511?\n\"Answer: 6*m + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*t - 4*t**3 + 10*t)*(-61 - 17 + 18).\nAnswer: 240*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**3 - t**2. Let p be ((-6)\/(-2))\/(9\/9). Let j(o) = 4*o + o - p - 4*o + 8. Let l be j(-6). Determine c(l).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 31, 24, 17, 10, 3?\n\"Answer: -7*p + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 35*q - 39*q = 6, -5*q - 15 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + m + 2 = 5, -2*m + 4 = -5*s. Let h be (s - -50)\/((-1 - 0)\/1). Which is smaller: h or -43?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k = -4*a + 69, 4*k - 5*k + 27 = 2*a. What are the prime factors of (-30)\/(-9)*a\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18466 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: -10*8\/2240*17\/((-136)\/140)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 89*y**2 - 110*y - 1416. What is the units digit of a(-88)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35404716?\nAnswer: 2, 3, 2950393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -38.6*-4\nAnswer: 154.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 122, 498, 1124, 2000, 3126?\nAnswer: 4502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -7, -1\/2, -1.6, 2\/13 in increasing order.\nAnswer: -7, -1.6, -1\/2, -2\/5, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-30 - -8)) + 27?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 74*g = 81*g + 42. Let t(k) = -3*k - 10. Let b be t(g). Solve 10 = -m + b for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/15 - 1) + ((-21)\/72)\/((-2499)\/2856)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 348845 and 3?\nAnswer: 1046535","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -7*t**3 + t**2 + 2*t + 1. Let u be p(-1). Let o = 3 + 0. Let w(b) = -u + 101*b + 4*b**2 - 95*b - 5*b**3 + 4*b**o. Give w(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r - 251 = 72*s - 61*s, -s - 5*r - 31 = 0 for s.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**3 + 23*r**2 + 93*r + 7. Determine w(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o when two letters picked without replacement from {a: 1, o: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.9 - 3.9. What is the closest to d in 2\/5, -2\/3, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1806*c**3*z**3 + c**3*z - 4*c**2*z**3 + 5720*c*z**3 + c*z + 2*z**3 - 2*z**2 wrt c.\nAnswer: 10836*c*z**3 + 6*c*z - 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 6128763 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.01 (b) 3\/7 (c) -0.099976 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 117*f - 337. Let u be a(3). Solve -12 = u*d + 2 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d - 6. Let b be o(-3). Suppose -3*a + 7*a = 228. Is (1*b)\/(a\/(-1463)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -79 + 91. Let r be ((-15)\/9)\/(35\/c + -3). What is the third derivative of 15*t**2 - r*t + 20*t - 20*t**4 wrt t?\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 58 + -56. Solve -2*v = 3*o - 3*v - 1, -2*v = l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -143, -126, -109, -92, -75, -58?\n\"Answer: 17*t - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (83*o**4 + 27*o**4 + 71*o**4)*(6 - 4 - 1) to g*o**4 + b*o**3 + y*o + x + c*o**2 and give g.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*l + 90*l = -66 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -551*i - 172. Let k be w(-23). What is the tens digit of k\/51 - (-2)\/(-17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-695)\/7 + 6\/3. Let v = -97 - o. Let x = -119 + 481\/4. Which is the third biggest value? (a) v (b) 0.5 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 5 - 116*o + 200*o - 159*o. Let n(r) = -4*r. What is t(n(c))?\nAnswer: 300*c + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5760 and 104400?\nAnswer: 835200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -225611, -451225, -676839?\nAnswer: -902453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1202020 (base 3) to base 12\nAnswer: -8a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -27262602.981 to the nearest one thousand.\nAnswer: -27263000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -22*t**4 - 3829*t**2 + 69091*t?\nAnswer: -264*t**2 - 7658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - -0.2. Let k = f + -1.2. Let r = 2887 + -2887.5. Which is the second biggest value? (a) 5 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -12*c**3 + 15*c**2 - 1469*c + 47. Let y(d) = -17*d**3 + 21*d**2 - 2074*d + 66. Let n(z) = 24*s(z) - 17*y(z). Let m = 6 - 10. What is n(m)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4760)\/(-10) + -3 + 1?\nAnswer: 2, 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 36 and 740.\nAnswer: 6660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + -462084?\nAnswer: -462085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7\/21 - 160\/(-6). What is the highest common factor of a and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxeexexxx. What is prob of picking 1 e and 2 x?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 - 2 + 3 - 3 - 2 + (7 - 3 - 2)*(7 + 1 + 3) - 49 + 24 + 21)*(-z**2 + 0 + 0 + (-3*z**2 + 0*z**2 + 4*z**2)*(0 + 2 - 3))*(-2*z**2 + z**2 - 3*z**2).\nAnswer: 112*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cyc when three letters picked without replacement from {y: 2, c: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2056 = 5*k + 2*r, -k - 394 = 5*r + 8. Let t = k + 732. Round t to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 378\/6523 or 0?\nAnswer: 378\/6523","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 118837935 and 2025.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 12:13 AM?\nAnswer: 6:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 + 2 = -2*t - 3*f, -3*t - 3*f + 3 = 0 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 222 + -138. What is the remainder when h is divided by (-58 + 57)\/(2\/(-34))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7457 + -3?\nAnswer: 7454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1028700.9438 + 1028529. Let i = t + 172. Let s = i + -0.052. What is s rounded to 3 dps?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h**2 + h**2 + 0*h**2)*(3*h + h - 2*h)*(3 - 6 - 2).\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 113125 by -10.\nAnswer: -22625\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 15) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 2*0.235\nAnswer: 0.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -5*a + 6, -9 - 21 = -5*s + 5*a. Suppose -4*q - 5*n = -s, -2*n - 2 = -6. Is q > -9\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1, -1\/2, 1\/3, 11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 g when two letters picked without replacement from {g: 2, v: 8, i: 7, a: 3}.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + (-114)\/2)\/((-3)\/22). Let s be v\/95 + 6\/(-15). Solve s*h = -7 + 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g + 8 = 3*h, h + h + 8 = 0. Suppose 0 = 26*n - 22*n + 5*v - 21, 0 = -3*n + 3*v + 9. Solve g*d + 5*r + 45 = 0, -d + n = -5*d + 4*r for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z. Let p(k) = -1. Let c(l) = -2*p(l) + x(l). Let j(q) = -q. Calculate c(o) + 4*j(o).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b**4\/3 - 374*b**3 + 3814*b**2 + 12562*b\/3 = 0. What is b?\nAnswer: -571, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*k - 6*k = -8*a, 43*a - 39*a = -2*k - 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*s, -4*s + 12 = -2*n - 0*n. Let y(a) = -7*a - 10. Let r be y(-5). Suppose -v = -6*v + r. Solve 3*b - v*d - 2 = 0, b - n + 8 = -5*d for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -249*z**2 - 3518604*z + 211965.\nAnswer: -3*(z + 14131)*(83*z - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50 and 38.\nAnswer: 950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (37*c - 183*c + 72*c)*(-3 + 6 + 2 + 2 - 2 - 1 + (0 + 4 - 3)*(-2 + 3 - 2) - 4 + 0 + 3).\nAnswer: -148*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433631.\nAnswer: 11, 79, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (6 - 4 + 6)*(-1 - 4 + 6)*((2 - 1 - 3)*(-2*n + 0*n + 4*n) - 2*n - n + n - 4*n + 2*n + 3*n + 2 + 2*n - 2 + n + 2*n + 2*n) as k + b*n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g + 417. Calculate the remainder when 268 is divided by s(45).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1679 a multiple of 52?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3\/10, 5, 1487, -1\/7, 0.5, 4?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p**3 + 305*p**2 + 1488*p - 1853. Calculate m(-300).\nAnswer: 1747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.1 - 0.6. Let q = -2681.6 - -2678.6. Let w be 66\/189 - 6\/(-27). Which is the second biggest value? (a) q (b) r (c) w (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 7, -7, -29, -59?\n\"Answer: -4*d**2 - 2*d + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -648 - 1328 = -4*d. What is the greatest common factor of d and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i + i - 5*i + (-1 + 0 + 0)*(-2*i + 4*i - 4*i) + (-1 + 16 - 3)*(-i + 0*i - 7*i).\nAnswer: -95*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/(h*h\/h**8*h)*h*h**(-2\/9))**29)**34)**(4\/9) assuming h is positive.\nAnswer: h**(240584\/81)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b - 1070 = -210. List the prime factors of b.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-16)\/(i**29\/i) assuming i is positive.\nAnswer: i**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -14684, -13379, -11206, -8165?\n\"Answer: 434*v**2 + 3*v - 15121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 9 - (17 + -9 - 13)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1304.495243 rounded to the nearest integer?\nAnswer: 1304","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2496132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 132 and 14828?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, 2 in increasing order.\nAnswer: -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 15, 86, 217, 426?\nAnswer: 731","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(((a**(2\/11)*a)\/a)\/a*a))\/(a\/a**(-5))*(a*a**6)\/((a*a*a\/((a*a**7\/a*a)\/a)*a)\/a))\/((a*a**8)\/(a**(-5)\/a))**(-2\/37) assuming a is positive.\nAnswer: a**(2698\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:21 PM and 6:03 AM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -1\/130*r**5 + 1\/39*r**3 + 1\/78*r**4 + 0*r**2 - 1\/195*r**6 + 0 + 3*r. Factor m(b).\nAnswer: -2*b*(b - 1)*(b + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:45 AM and 11:28 AM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n + n. Suppose -2*d + 0*d = n. Let g(m) = -m**3 - 5*m**2 - 4*m - 2. Let c be g(-4). What is the nearest to d in -1\/2, c, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 0 - -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 856 and 2868242.\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -44, -79, -142, -239, -376, -559, -794, -1087?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 111100 + -3?\nAnswer: 111031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(704) + 5 - (1 + 1 + sqrt(704)))**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*c**2 - 31846*c + 2332044 wrt c.\nAnswer: 4*c - 31846","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of r**4\/4 - 7*r**3 - 21*r**2\/2 - 26*r + 662. Give y(22).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1101000 (base 2) in base 15?\nAnswer: -6e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(2*y**3 + 0*y**3 - y**3) + y**3 - 2 + 2 - 23*y**3 + 42*y**3 - 23*y**3 - y.\nAnswer: -y**3 - y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -234.13 to the nearest integer.\nAnswer: -234","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1451427, -1451428, -1451429, -1451430, -1451431?\n\"Answer: -y - 1451426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 1482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -115 + 167. Suppose 5*d + a = 2*u, 0 = 2*d + d + 3*u + 27. Let f = d + 20. What is the lowest common multiple of f and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3218.4 - 3023. What is r rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in w**3 + 166*w**2 + 0*w**3 + 472*w**2.\nAnswer: w**3 + 638*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 15, 27, 53, 99?\nAnswer: 171","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 3\/154 and -50\/77.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t - 24. Let p(q) = 517*q**2. Calculate g(p(y)).\nAnswer: -517*y**2 - 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -3 - (-3 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -101 - (-20 + 22 - -21 - 67)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 12 + 60*d**2 + 10*d**4 - 59*d**2 to the form q*d**2 + h*d + x*d**4 + a + r*d**3 and give x.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b + 2. Let a = -7.5 - -7. What is the nearest to -2\/7 in b, a, -4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.068527934 rounded to 3 dps?\nAnswer: -3.069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + 3*s**2 + 9*s + 9. Let h be b(5). Let j be 8*2\/(-3 + h). Solve -3*f + f - 5*n - 20 = 0, 5*f = -4*n - j for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m + l - 1 + 10, -3*m + 2*l = -15. Let h(x) = -11*x**2 - 14*x - 11. Let y(s) = 4*s**2 + 5*s + 4. Determine m*h(k) + 8*y(k).\nAnswer: -k**2 - 2*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1229*n = -1252*n + 506 for n.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 3*l - 5*l + 22 = 0, 5*f + l + 34 = 0. Let m(r) = 6*r + 45. Let h be m(-7). Sort f, h, -5, -2 in descending order.\nAnswer: h, -2, -5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 194406265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -5, -282011 in decreasing order.\nAnswer: -5, -30, -282011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes before 12:57 PM?\nAnswer: 3:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -4091, -14342, -31433, -55370, -86159?\n\"Answer: -h**3 - 3414*h**2 - 2*h - 674","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-810)\/420*(-256)\/576)\/(3\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*g - 16*g - 23*g + 4208 + 69*g.\nAnswer: 3*g + 4208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -720, -721, -722, -723?\n\"Answer: -f - 719","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53*f**2 + 60 - 60.\nAnswer: -53*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -516, -505, -480, -435, -364, -261, -120, 65?\n\"Answer: j**3 + j**2 + j - 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 8 - 7)*(1 - 5 + 6)*(2*d + 0*d + 0*d)*(-d**2 - 2*d**2 + 5*d**2)*(-4*d**2 - d**2 + 2*d**2).\nAnswer: 192*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 872 - 535. Calculate the remainder when k is divided by 311.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13605 divided by 3\nAnswer: 4535","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -863435, -863431, -863425, -863417, -863407, -863395, -863381?\n\"Answer: y**2 + y - 863437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-38 + 53 - 24)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 838 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, z: 2, a: 1}. What is prob of picking 1 p and 2 z?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4 - b5?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1571978092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-26 - (48 - 44)) + (1 - 13)\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 6*o**2 - 5*o + 1. Let c(f) = 2*f**2 + 34*f + 37. Let t be c(-16). Let u be g(t). Let y = -97 + u. Does y = 30?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8919824831 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 468 - 164. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(125) + sqrt(125) + sqrt(125) + (sqrt(125)*-1 + -5)**2 + (5 + (sqrt(720) + -2)*-6)**2.\nAnswer: -2383*sqrt(5) + 26357","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 8664?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 139\/480 and 37\/7440.\nAnswer: 14880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19714976 + 19714976 + 114*x**3 + x.\nAnswer: 114*x**3 + x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/28 of a week in hours?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11 and 457?\nAnswer: 5027","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q**2 + 1. Let c(g) = -27*g**3 - 21*g**2 + 21. Determine -42*a(v) + 2*c(v).\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 5*o = -2*i - 2, -12 = -3*o - 2*i. Let t(l) be the second derivative of 0 + 0*l**o + 1\/3*l**3 + 11*l. Let h(j) = 10*j**2. Calculate t(h(z)).\nAnswer: 20*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -200634 by 1967.\nAnswer: -102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -252 + 400. Differentiate -s*x + 148*x - 19*x**3 - 31 with respect to x.\nAnswer: -57*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 34 - 42 - (-8 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -4*c + 21 + 7, -2*u = -2*c + 2. Suppose -2*s + a = -2 + 1, 3 = -3*s + u*a. Factor -22\/9*o + 14\/3*o**s - 34\/9*o**3 + 4\/9 + 10\/9*o**4.\nAnswer: 2*(o - 1)**3*(5*o - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y - 3*s + s + 160, 4*s = 2*y - 64. Let m = y - 191\/6. Which is greater: m or 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - -5. Calculate the greatest common factor of 30 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 366 + -366. Let w(n) be the second derivative of -1\/3*n**3 + n + 0*n**4 + y + 0*n**2 - 1\/30*n**6 + 0*n**5. Find the second derivative of w(i) wrt i.\nAnswer: -12*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -86*o**2*u**4 + 2*o**2*u**3 + o**2*u - 2*o - 3*u**3 + 89*u**2 wrt u.\nAnswer: -2064*o**2*u + 12*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -425*f - 17*f**4 - 7 + 450*f - 2*f**5 + 3*f**5 + 8 wrt f.\nAnswer: 20*f**3 - 204*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b - 5. Let t be q(8). Suppose -5*r = -t*r. Suppose r = -2*a - 29 + 169. Calculate the remainder when a is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 27*f**2 - 8*f - 14. Let p be u(6). Round p to the nearest 100.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**3 - 36*k**2 + 100*k - 28. Let b be s(33). Let d be 1436*2\/8 + 5\/b. What is the greatest common factor of d and 80?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 42*y**2 + 31726*y - 4 - 31723*y + 27*y**2 in the form w*y + h*y**2 + v and give h.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.382 + -0.182. Which is the nearest to w? (a) 2\/7 (b) 3 (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 359971457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 6*o**2 + o. Let w be a(2). Let r be (-5)\/6 - (-13)\/w. What is the third smallest value in 0, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 202 a factor of 21235048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 1:17 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 231\/(-63) - (-9200)\/2640\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47865 is divided by 375.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*o + 3*c + 7659 = -32*o, -4*o - c + 10187 = 0. Calculate the greatest common divisor of 392 and o.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -799 - -798. What is the nearest to k in 4, -1\/3, -15?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 3*n - 14. Suppose -n = j + 13. Let b = j + 119. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 29*d + 33*d = 4, 22 = 3*v + 2*d. Let m(u) = 10*u**2 + 13*u - 66. List the prime factors of m(v).\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*h - 12664 + 13420 = 0 for h.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + m - 2*m + 6 = 0, -4*k + 2*m = -16 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 * 0.0903\nAnswer: -0.00903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/5, -155, -4?\nAnswer: -155","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 96 - 91. Suppose i*u - u + 2*a = 242, a + 239 = 4*u. What are the prime factors of u?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the second derivative of -v**7\/21 + v**6\/15 + 3*v**5\/10 - v**4\/6 - 2*v**3\/3 + 74*v. Suppose o(m) = 0. What is m?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -556 - 4?\nAnswer: -55a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1536 and 28440.\nAnswer: 1820160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 39*l + 89. Let g be t(-3). Let h be (6 - 4)\/(2\/21). Let c = h - g. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 147*d*z**3 - 59884*d + 613*z + 2 wrt z?\nAnswer: 441*d*z**2 + 613","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(20\/12) - 0. Let d(k) = -k**3 + 5*k**2 - 4*k + 1. Let r be d(4). Let n = 1 + r. What is the third smallest value in n, 2\/11, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*s - 4*c, -62*s = -59*s - 3*c - 15. Let z = 175 - 115. Solve z = -17*f + s*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -1\/10, -0.2, -32467.\nAnswer: -32467, -11, -0.2, -1\/10, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*k**2 + 6*k**2 + 60 + 15*k**2 + 7*k**2 - 40*k**2.\nAnswer: 2*k**2 + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - j - 45 = 0. Let r(o) = o**2 + 3*o + 17. List the prime factors of r(j).\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 87205 or 87206?\nAnswer: 87206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*u**5 - 6604*u**4 - 7*u**3 + 759*u**2 + u + 133 wrt u?\nAnswer: 120*u**2 - 158496*u - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*t**2 + 19*t**2 - 6 - 6 + 2*t**2 + 13 - 13*t**2.\nAnswer: 11*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2 - 3*c - 7. Let q(k) = -2*k**2 + 4*k + 8. Let g = -63 - -80. Suppose 0 = -4*p - 29 + g. Determine p*q(y) - 4*m(y).\nAnswer: -2*y**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 340\/200 + ((-1)\/(-2))\/(-1). Sort v, -0.4, 0, -20\/3 in descending order.\nAnswer: v, 0, -0.4, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + (-61 - -109) + -30 + -2.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 11793092 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -319990.3885 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -2*z + 14, -l - 14 = -2*z - 4*l. Let k be (9\/(-1))\/(-2 + 3). Let f = -8 - k. Calculate the smallest common multiple of z and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 434 - -159.\nAnswer: 593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2021255 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 68*n + 2182. Determine i(-32).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 28 - 17. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11724412*b**4*z**3 + 512*b**2*z - 345*b**2 - z**3 wrt b.\nAnswer: -281385888*b*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4716 + -2658. Suppose 6*z - g = 38724. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -319 (base 11) in base 7?\nAnswer: -1055","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 79 = b + 5, -5*p = -5. Suppose -3*n = 3*a - b, 0 = 2*a - n - 28 - 10. Solve 4*c - 5*c + 5*o + a = 0, -11 = 5*c + 4*o for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 659.39250087 + 1338.\nAnswer: 1997.39250087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.154 in 32, 5, -3\/4, -5\/3, 3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k**3 + k**3 - 2*k**3)*(11*k + k - k).\nAnswer: -22*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 18*(-10)\/(-1620) + 0\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2 = 3*v - 13, -2*v + o = -8. Suppose v*f + 23 = 65. Calculate the lowest common multiple of f and 34.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 + -3)*(-2)\/7. Suppose -5*i + p*i + 18 = 0. Let x(b) = i - 2 - 3 + b. Let j(a) = 4*a + 4. Calculate -j(z) + 2*x(z).\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 3141?\nAnswer: 31410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14528*d**4*p + 5*d**4 - 292*d**3*p + 24*d**2*p - 18*d**2 + 2*d*p - 221*p + 1 wrt d.\nAnswer: 348672*d*p + 120*d - 1752*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-7) + (-8740)\/266. Let k = u + 34. What is the biggest value in -3, -2\/13, 3\/16, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -119\/1038 and (-6)\/14 - (-20 - (-152659)\/7098).\nAnswer: 13494","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the third derivative of q**6\/120 - q**5\/12 - 7*q**4\/24 - q**3\/2 - 4*q**2. Calculate v(6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0, 0.3, -1, 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 65 in 2\/15, 4, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 27, 30, 33, 36, 39, 42?\n\"Answer: 3*k + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -302b9908 + -1?\nAnswer: -302b9909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 15 divided by 113\nAnswer: 15\/113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -30084 - -42181. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 369*x = 5*m + 365*x - 28, 0 = -x - 2 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -18.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -1, -3, 133, -4, -11.\nAnswer: -11, -4, -3, -1, 1, 4, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 - 12*h - 22. Let v be q(-5). What is the greatest common factor of 18 and v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.04866 + -0.95134. Let a = 1757353 + -636162325\/362. Let l = 2\/181 - a. What is the second smallest value in l, 0.03, v?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f**3 - 8*f**2 - f + 10. Let s(h) = 3*h**3 + 17*h**2 + h - 21. Let n(k) = -2*s(k) - 5*z(k). Give n(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1141346564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-282)\/54 - 12\/(-54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3\/7*a**2 + 1296\/7 + 186\/7*a = 0. What is a?\nAnswer: -54, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of 1\/4*f**4 - 2*f + 0*f**3 - 1\/2*f**2 - 2. Let a be w(2). Let v(m) = m. Determine v(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -59 - 41. Let f be 5*(-4)\/d*-3. Which is the smallest value? (a) 4 (b) f (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((1*sqrt(228)*-4)\/(2*sqrt(588)) + (-2*-2*sqrt(76))\/(sqrt(576) - sqrt(576)*-1)).\nAnswer: 5*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 0*c = 100. Calculate the highest common factor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -g**5*h**3 - 2*g**4*h**3 + 4*g*h**3 - g + 3*h**3 wrt g.\nAnswer: -20*g**3*h**3 - 24*g**2*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(5\/4)*r**(-2\/5))**(-2\/57)\/(r**(2\/21)\/r**5)**(-7\/10) assuming r is positive.\nAnswer: r**(-329\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*v - 20 = 43*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -t**3 - 5*t**2 + 8*t + 19. Let d be q(-3). Let y(n) = -n**3 - 23*n**2 - n - 13. Let b be y(d). Suppose -2*x + 14 = -10. Is b at most x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -54*g + 57. Let h(l) = 81*l - 85. Let j(n) = -7*a(n) - 5*h(n). Let u be j(1). Is -57 at least u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-3)\/a*a*a**(-3\/5))\/(a\/(a*a**(-6))*a**(-1\/8)\/a) assuming a is positive.\nAnswer: a**(-339\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -7*c**3 - 2*c**2 - c. Calculate a(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.004422 to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 14408 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 (base 9) in base 4?\nAnswer: -112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-1*5)\/sqrt(10).\nAnswer: -5*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - (-2)\/(4\/654). Let v = -41531 + 41606. What is the greatest common factor of h and v?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1732*(14*4\/80 + (-6)\/30) is divided by 29?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2*u**3 + 3*u**2 - u - 2. Let z(w) = w**3 + 9*w**2 + 9*w + 10. Let q be z(-8). Is x(q) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 13116 + 13140 = 0. Put 9, m, -6 in increasing order.\nAnswer: -6, m, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qcccqqccqc. What is prob of picking 4 c?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 127 + 232. What is the remainder when f is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20134 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.0419969, 0.2, -0.4 in decreasing order.\nAnswer: 0.2, 0.0419969, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of 0*x - 62 + 0*x**2 + 136\/5*x**5 + 0*x**4 + 40*x**3. What is the third derivative of n(q) wrt q?\nAnswer: 3264*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 4*c**3 + 73*c**2 + 8*c - 272. Determine y(-18).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1095 = -212*d + 35 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -31, 2 in descending order.\nAnswer: 2, -3, -5, -31","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1380 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 319 - 92. What is the hundreds digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81c77 (base 13) in base 15?\nAnswer: 48eab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the first derivative of 0*s**5 + 0*s - 23\/6*s**6 + 0*s**3 - 2 + 0*s**4 - 4*s**2. Find the second derivative of n(y) wrt y.\nAnswer: -460*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/961676 and -65\/1923352?\nAnswer: 1923352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*i + 0*i + 1 - 1 to the form v*i + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(1*(sqrt(539) + sqrt(539) + sqrt(539) + ((sqrt(539) + 3)*4 - sqrt(539))) + -1)**2*2.\nAnswer: -78100 - 3696*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - u = -11, -5*y + 0 = -4*u - 21. Let z(r) = -6*r**2 + 5. Let t(g) be the first derivative of -g**3 + 2*g + 52963. Calculate y*t(o) - 2*z(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 4. Let g(z) = 49*z - 63. Let l(j) = 4*g(j) - 63*i(j). Let o(f) be the second derivative of -f**4\/12 - 2*f - 42. Determine l(o(u)).\nAnswer: -7*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35722 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/3 + 190\/15. Let q = -7 + k. Solve 0 = x + 4*h - 21, h + 0*h = 2*x - q for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 3*h + 4. Let d(r) = -16*r - 14. Let x(i) = 30*i + 27. Let y(p) = 5*d(p) + 3*x(p). What is 6*y(t) - 17*z(t)?\nAnswer: 9*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1*(-8)\/20*5*3. Let g be (3 - -4 - 13)\/(o\/(-3)). What is the smallest value in g, 0.1, 0.2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 591 and 228132895?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 9) to base 13.\nAnswer: c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 3:09 PM?\nAnswer: 7:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -652b33 (base 13) to base 16.\nAnswer: -24449a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z + 2. Suppose -3 = n + 2*n. Let o be s(n). Suppose -2*l = -c - 34, -c - 63 = -3*l - 14. Solve 3*b - l = p + 3, o = -b - 3*p for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -2*v**3 + 5*v**2 + 5*v + 9. Let g(k) = -k**3 + 2*k**2 + 2*k + 4. Suppose -j = t, 10 = -t - 0*t + 4*j. Calculate t*d(z) + 5*g(z).\nAnswer: -z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 9, -68, -197, -378, -611, -896, -1233?\n\"Answer: -26*j**2 + j + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -2385, -4721, -7057?\n\"Answer: -2336*g - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 + 7*i + 3. What is x(-2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 2*p + 26 = 0, 0 = -p - 425 + 426 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -0.031, 15\/14, 0 in descending order.\nAnswer: 7, 15\/14, 0, -0.031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 12*b + 2 = 0, -4*r + 5*b = -6 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(228)\/(sqrt(24)\/sqrt(2)) + sqrt(19) - (sqrt(304) + 1 + 5))*5*4)**2.\nAnswer: 16000*sqrt(19) + 70400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**3 - 5*j**2. Let y(q) = 2*q**3 + 12*q**2. Let o(n) = n**2 - 7*n + 1. Let g = -8 + 13. Let f = 11 - g. Let w be o(f). Give w*y(r) - 12*l(r).\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -18816*l - 207110 wrt l?\nAnswer: -18816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2296728 and 3255.\nAnswer: 11483640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 + -93 - (4 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11560 - 11466.88. What is v rounded to the nearest 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + j)*(0*j + 4*j - 3*j - 2*j + 4*j - 4*j + (-5*j + j + 2*j)*(0 + 1 + 0) + 4*j + 3*j - 2*j) in the form l + q*j**2 + t*j and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46 (base 16) to base 7.\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - -21. Suppose 0 = 10*n - 39*n - 58. Sort u, 4, n, 1 in descending order.\nAnswer: u, 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3400.223ml to litres.\nAnswer: 3.400223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u - 3. Let g be l(7). Suppose -3*x - 9 = m + 2, -5*x = -5*m - 15. Sort x, g, -4.\nAnswer: -4, x, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 8 + 6 = 5*u, 3*o = 5*u - 11. Let n(k) = -3 - 3 + u. Let t(f) = -f**2 + 3. Determine 3*n(v) + 2*t(v).\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from eerrd?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 31*p - 65 + 147.\nAnswer: 31*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 23*x - 75. Let w be s(10). Calculate the highest common divisor of w and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 240\/45*(-549)\/(-4). Let p = 1271 - u. Is 77 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/13, -16, 3 in increasing order.\nAnswer: -16, -2\/13, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -1197*k + 1. Let f(c) = -3*c. Determine o(f(v)).\nAnswer: 3591*v + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3325761, 13303036, 29931827, 53212134, 83143957, 119727296?\n\"Answer: 3325758*j**2 + j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1196?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of 0 + 1\/2*x**3 + 1081\/12*x**4 + 5*x**2 + 14*x. Let l be b(7). Round l to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y + 4*y + 8*y + 2 + y - 2 - 8*y + y + 2*y + (-2 - 2 + 2)*(-3*y + 0*y + 5*y) + (-1 + 2*y + 1)*(0 + 0 - 2).\nAnswer: -5*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3*t - 6 = 5*t, 2 = f - t. Suppose -2*x = 1 - 13. Suppose -v - x = -1. Sort f, v, 0, 16 in descending order.\nAnswer: 16, f, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3282994 and 76934?\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 9) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (14 + -16 - (1 + -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(3\/10))\/a)\/(a*a\/(a*a\/a**(1\/15)*a))*a**(-27)*a**(-8\/9)*a assuming a is positive.\nAnswer: a**(-2309\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 12*t + 17. Let p = 90 + -56. Let z(a) = -2*a - 3. Determine p*z(f) + 6*j(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 191520193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 75 (b) 0 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*o + 32. Let j(f) = -49*f - 6. Let h be j(o). What is h rounded to the nearest one thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/250820 and 31\/752460.\nAnswer: 752460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1229918 and 1908?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10.1 - 10.6. Which is the nearest to -1? (a) 11 (b) 1\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + 9*v**2 + v + 8. Calculate q(9).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*a - 679 = -4*a - 841 for a.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 38) + (438 - 439 - (-5 + -2))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-k - k - k + k - k - k + (-4 + 4 - 2*k)*(1 + 2 - 2) - 4 + 4 - 2*k + k + 0*k - 2*k + 129*k - 63*k - 21*k)*(-k - 4*k + 4*k)*(-4 + 0 + 3).\nAnswer: 36*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f + 106 + 4*f**2 - 157 + 52. Let l(j) = 13*j**2 - 4*j + 4. Suppose -4 + 2 = -n. Give n*l(g) - 7*y(g).\nAnswer: -2*g**2 - g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) 13 (c) 0 (d) 2\/13 (e) 0.022 (f) 2\/5 (g) 4\/11\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17248338 and 558.\nAnswer: 558","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -n**2\/3 - n + 6 = 0. What is n?\nAnswer: -6, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3597, -5, 17, 16 in ascending order.\nAnswer: -5, 16, 17, 3597","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 17327000 rounded to the nearest 1000000?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 35 + -23. Calculate the remainder when 33 is divided by m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 3395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 + 8*q + 7. Let c be w(-6). Let m = 387 + -384. Put 0, c, -2\/5, m in decreasing order.\nAnswer: m, 0, -2\/5, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 0 + 4)*(14 - 14 - 5*v + (4*v - 3*v + 0*v)*(-2 - 1 + 0)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2791 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15967 = 10*s - 35313. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-80)\/(-10)*2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1464.942 + -1465. Which is the closest to -1\/4? (a) 7 (b) -0.2 (c) n (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-16)\/32)\/(-3*(-4)\/(-792))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -242 + 2180\/9. Sort 2\/5, h, -38 in ascending order.\nAnswer: -38, h, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 42 + -42. Let v = 3 - -52. Let t = -56 + v. Put t, i, -3, 13 in increasing order.\nAnswer: -3, t, i, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 53496?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44999*i - 45695*i - 17077*i.\nAnswer: -107771*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*z + 4*z + 843 - 214 - z.\nAnswer: -2*z + 629","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 976668?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1428 + 3380. List the prime factors of m.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 16. Let c be r(0). Let w be (-4)\/c*20*1. Suppose -g = -w*g + 1628. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t, given that t**4\/4 + 451*t**3\/4 + 21327*t**2\/2 - 475651*t + 907742 = 0.\nAnswer: -242, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - 2*v = -6. Let m(g) = -g**2 - 3 - 6*g**v - g**3 - 3 - 8*g. What is the units digit of m(-6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqqqqqqqq. What is prob of picking 4 q?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -h - 0*h. Let u(s) = s**3 - 4*s**2 + 2*s. List the prime factors of u(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f = -50*f - 5*f + 825 for f.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z = 12*z - 57. Let y = -46 + 69. Let r = y - z. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -22112322?\nAnswer: 22112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*r + 1 + 0 + 490*r.\nAnswer: 826*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 436 and 763.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -81\/22 and (-1 - 2) + (-119)\/14.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 128045 is divided by 173?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3 + 5.3. Let t = -0.3 + a. Put -1, -2\/3, t in decreasing order.\nAnswer: t, -2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -12. Suppose -c = -v - 3. Calculate the remainder when 19 is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -22037, -23563, -25087, -26609, -28129, -29647?\n\"Answer: c**2 - 1529*c - 20509","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((1 - 6 + 0)*(-3*n + 2*n - 3*n) + 0 - 2*n + 0)*(-3 + 0 + 5)*(n + 0*n - 3*n) to the form i*n + x*n**2 + t and give x.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 2 = 2*m. Let s = -10 + 15. Suppose v + 3*l - 5 = 2*l, s*v = m*l + 25. Does 2 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -467611 bigger than -467611?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -438652, -438642, -438632?\nAnswer: -438622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2837\/6 + 471. Which is smaller: -1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 40\/3 and -52\/159.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes before 3:26 PM?\nAnswer: 6:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -139 + -5 + -62 + 7 + 80\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -119 + 150. What are the prime factors of b?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1713*t - 28284 = -328*t + 417*t + 18568 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 2274580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 298.37916 + -297.84. Let c = s - 0.54. Round c to four dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7660\/(-295) + (99 - 83) - -2*5?\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 130741283, 130741284, 130741285, 130741286, 130741287?\n\"Answer: c + 130741282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 67*b - 20*b = 799. Suppose 5*v = -5 - 10, 4*d - 4*v = 20. Suppose 9 - 75 = -d*f. Calculate the remainder when f is divided by b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 40 + -23. Calculate the highest common divisor of 391 and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/5)\/(10656\/400 - 27)*9?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-5 + 2*sqrt(7)))**2.\nAnswer: -80*sqrt(7) + 212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 71 + -27. Let l(n) = 7*n**3 + 5*n**2 - 23*n + 14. Let o be l(2). What is the greatest common factor of o and z?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 158511 is divided by 39621?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (15 - (8 + -6)) + -9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -715.4 - -377.1. Let x = 339 + t. Which is the fourth biggest value? (a) x (b) -0.3 (c) -2\/17 (d) 7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -11. Let p(k) = -k + n - 5 + 5. Let l(b) be the third derivative of b**4\/24 - b**2. Calculate p(l(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 - -4. Suppose 4*u - 15 = -7. Suppose 3*r - u*r = v. Which is the third biggest value? (a) 5 (b) r (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 3*f**2 + 2*f + 153. Let z be v(0). Let i = 153 - z. Is i <= -1\/74?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3, 1\/7, -8, 0.5, 100?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16\/90*-21*9\/(-252).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u**4\/7 + 540*u**3\/7 - 46394*u**2\/7 + 1342440*u\/7 - 12360392\/7 = 0. What is u?\nAnswer: 22, 113","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -22240 (base 6) in base 9?\nAnswer: -4246","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 a factor of 3114510?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -9, -21, -31, -39, -45, -49, -51?\n\"Answer: c**2 - 15*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 4*k + 3*g, -5*g + 25 = 2*k - 0. Suppose 5*w + 0*w - 2*j + 34 = 0, 2*w + j = -k. What is the units digit of (6\/2)\/((-2)\/w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.3784786 and -0.5.\nAnswer: -1.8784786","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3236111*v + 3236116*v - 27 = m, 0 = 6*v - 2*m - 34 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22847427 or -22847430?\nAnswer: -22847430","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.126168 + -391?\nAnswer: -410.126168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 6*f**2 + 5*f. Let b be x(-5). Let t be 4 - 1 - -1 - b. Suppose 5*h - 9 = -t, -3*h - 3 = -3*z. Calculate the least common multiple of z and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1690131419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 18. Suppose -1687 = -j*n + 917. What is the tens digit of 4\/(-6)*n\/(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -144527694, -289055388, -433583082, -578110776?\n\"Answer: -144527694*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.4506138 millilitres to litres.\nAnswer: 0.0004506138","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 3*j + 4 = 0. Suppose j*s + 139 = 3*k, -k + 3*s + 64 = 6. Calculate the common denominator of -26*(k\/(-40) + 1) and -63\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 8130 - 8122. Sort 4, 55, p, 5, -3\/5 in descending order.\nAnswer: 55, p, 5, 4, -3\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-256)\/(-124) - (-22)\/(-341). Sort -3, d, 1116 in decreasing order.\nAnswer: 1116, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 15 = -9*a. Which is smaller: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**2 - 2*n. Let f be y(3). Suppose j + p = 1 - f, 2*p = 5*j - 4. Solve j*z + 6 = 3*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -124 + 132. Put -5, 0, 5, a in descending order.\nAnswer: a, 5, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -34*m**3\/7 - 12436*m**2\/7 - 9482*m\/7 + 2920\/7 = 0.\nAnswer: -365, -1, 4\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*g - 12*g = 4*r - 65 - 17, 5*r - 112 = g for r.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 45748966387 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -233*q**2 + 46*q - 24. Let g(i) = 116*i**2 - 24*i + 13. Let u(m) = -11*g(m) - 6*r(m). Does 60 divide u(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 10) to base 4\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2. Let z(a) = -2232*a**2 - 1. Calculate y(z(i)).\nAnswer: 4981824*i**4 + 4464*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-75 - 67 - 86)*(-20*m + 1 - 35*m - 42*m + 0 - 2).\nAnswer: 22116*m + 228","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o - 26. Let g be h(9). Let z = g + 47. Solve 6*t = 5*t - z for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (4 - 3)\/(-2*(-1)\/368) a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - -25) + (-15 + (5 - 9) - -11)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -21.99 - 0.01. Let k = 22.2 + o. Let j = 8.6 - 9. What is the third biggest value in k, j, -2\/7?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -t, 8 = t - 27*j + 30*j. Suppose 0*i - 4*i + 4 = 4*b, i + 24 = 4*b. Suppose -s - 363 = -4*x, 0 = -x - t*x + b*s + 251. Is x a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 2*y + 0 = -1, 5*n + y = -16 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 31302 and 213120?\nAnswer: 666","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wg when two letters picked without replacement from {g: 5, w: 13}?\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5223, 20375, 45647, 81039, 126551, 182183, 247935?\n\"Answer: 5060*u**2 - 28*u + 191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1711854?\nAnswer: 2, 3, 10567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -14310.48 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*k + 10 = 0, 30 = 5*p - 8*k + 3*k for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 769 = -4*r + 821, 3*t - r = -19 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 12:35 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -26278152?\nAnswer: -1\/6569538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-6)*6\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32225\/12 - -2675. What is the common denominator of -5\/24 and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 6*n - 3*n - 7, 5*s - 28 = 3*n. Let l be (-4)\/12*43*-3. Suppose 3*c - s = 5*f, 0 = 4*c + f - l - 2. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 30 = 3*c, 12*o = 28*o - 12*o + 6*c + 48 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/5 - 357*b**2 + 25162*b\/5 - 43176\/5.\nAnswer: -(b - 12)*(b - 2)*(b + 1799)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -3*r**2. Let p(s) = -65*s**2 - 4201*s. Give p(l(t)).\nAnswer: -585*t**4 + 12603*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*i**4 + 7026*i**3 - 97683*i**2 - 216456*i - 111744 = 0. What is i?\nAnswer: -1, 16, 2328","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 11. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3 + -1. Let b be 6\/(96\/(-20))*n. Let a be ((-6)\/(-9) + -2)*3. Which is greater: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -90*s**2 - 288*s + 803. What is h(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of 0 + 1\/3*d**3 + 1\/2*d**2 + 1\/12*d**4 + d. What is l(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 48*n + 341. What is the remainder when z(0) is divided by 43?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 11*k**2 + k - 6. Let a be v(6). Let f be a\/27 - 1\/(-3). Suppose f*m = 4*m + 207. Does 15 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 AM and 3:33 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03052, -1011, 2, -5, -3\/2 in descending order.\nAnswer: 2, 0.03052, -3\/2, -5, -1011","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + (80 - 11) + 4 + (7 - (1 - -7))?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1796 + 1794.3. Which is the closest to 0.2? (a) n (b) 0.2 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 984, 1528, 2072, 2616, 3160, 3704?\n\"Answer: 544*q + 440","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 12*d + 7. Let w be v(12). Solve -2*f - 30 = -4*u, -2 = -f - w for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 5*p + 32 = 0. Suppose -4*u - 18 = 6. Let a(d) = -d - 5. Let m be a(u). Put 3, m, p in increasing order.\nAnswer: p, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 431473*i**2 + 1076 - i - 431475*i**2 + 1115 in the form l*i + f + m*i**2 and give f.\nAnswer: 2191","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-22)\/(-8) + (-13)\/(-52). Let d be (6 + -2)*(-265)\/212. Sort g, 4, 1, d in descending order.\nAnswer: 4, g, 1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(sqrt(204)*-1 - sqrt(204))*6)\/(sqrt(96)\/(sqrt(8)*1*5)).\nAnswer: 360*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**2 - 804*d + 801.\nAnswer: 3*(d - 267)*(d - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 230 and 418255?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 22 - (-3 + 32) - 3\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1073 + 394 - 805 = 53*g for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -1233?\nAnswer: -1230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15077 + 24482. Does 209 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -641*j + 1825. Calculate g(3).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 15259946 and 871.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*w + 6 = -9*w + h, -h - 4 = -2*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(28) + (sqrt(28) - sqrt(252)) + sqrt(28))*-4)\/sqrt(2))\/((sqrt(7) - sqrt(28)\/sqrt(4)*-3) + sqrt(7)*-2*-5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 2*z + 8*z)*(-4*z**2 + 4*z**2 + 4*z**4).\nAnswer: 40*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 - -105. Is -36 less than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - (-8)\/7) + 1824\/21. Suppose 2 = -86*x + n*x. What is s in -2\/7*s - 4\/7 + 2\/7*s**x = 0?\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*i + 13*i + 20*i.\nAnswer: 7*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30 + 20.5. Let o = i + 9.49999961. Round o to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from {g: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**7\/49 - q**6\/60 - q**5\/105 - 8*q**2. Determine c so that w(c) = 0.\nAnswer: -1\/5, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**1\/g)**(-1\/8)\/((g\/(g\/(g\/g**(-1\/9))*g)*g*g)\/(g\/(g\/(g\/(g**3*g))*g*g)))*((g*g*g*g\/(((g*g**(-1)*g)\/g*g)\/g))**39)**16 assuming g is positive.\nAnswer: g**(22400\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one quarters of a meter in millimeters?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 138*c**2 + 2*c. Let i(s) = 7 - 17 + s**2 + 8 + 2. Determine n(i(z)).\nAnswer: 138*z**4 + 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q - 4*q + 12*q)*((30*q**2 + 3*q**2 + 20*q**2)*(4 - 2 + 2) + 1 - 2*q**2 - 1).\nAnswer: 1890*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4383 (base 14) to base 12.\nAnswer: 6913","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -42 (base 8) to base 5\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (99\/55)\/(66\/55)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1.1*228\nAnswer: 250.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 44 - -11. What is the remainder when r is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**2 - 9*g - 12. Let v be b(-7). Find the first derivative of 14 - 55*a**3 - 25*a**v + 107*a**3 - 54*a**3 wrt a.\nAnswer: -6*a**2 - 50*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate a**3*d**2 - 143364*a**3*d - 68043*d**2 with respect to a.\nAnswer: 3*a**2*d**2 - 430092*a**2*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = a**2 + 8*a - 4. Let f be d(-7). Is (f\/2)\/((-6)\/36) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.141 rounded to one decimal place?\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 22 = 2*m - 0*j, -3*m = j + 31. Suppose 0 = 4*t - 59 + 35. What is the smallest common multiple of 2\/(t\/m) - -21 and 14?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 148093995 is divided by 2343?\nAnswer: 2337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/((t*t\/(t\/t**(3\/17)*t*t*t))\/t))**(3\/32)\/(t**(-5\/4))**44)**(-3\/7) assuming t is positive.\nAnswer: t**(-90345\/3808)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**3 - 13*q**2 + 23*q - 1. Determine m(11).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/6 + 1)\/((-8)\/(-36))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - sqrt(76)*-5)*5 + -1*sqrt(76)*-6)**2 + 4.\nAnswer: 98500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27 - -23. Let h(a) = 4*a**2 - 13*a + 4. Let r(y) = -y**3 - 3*y**2 + 13*y - 3. Let l(u) = v*r(u) - 3*h(u). Find the second derivative of l(p) wrt p.\nAnswer: 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 2*u = -8, c - 5 = u. Calculate the remainder when 6 is divided by c.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*b + 5 = 0, -2*u + 0*u + 4*b - 8 = 0. Let x(q) = 16*q - 3. Let w be x(u). Suppose 5*o - 197 = a, -o - 3*a - 2*a + w = 0. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*n - n**3 + 57*n**4 + 4*n + 2*n - 24*n**2 + 2*n - 39*n**4 to s + g*n**2 + i*n + c*n**4 + b*n**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + -3. Let p = 0.8 + n. Let y be 10\/2 - 5220\/1035. Put -5, 4\/5, y, p in descending order.\nAnswer: 4\/5, y, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -67141 + 223008. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-13)\/((-78)\/(-4)))\/((-1)\/(-3))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8906.\nAnswer: 2, 61, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-r**2 - 3*r**2 + 5*r**2)*(-21 - 30 + 50)*(3*r - 2 + 2) as x*r + z*r**3 + l*r**2 + i and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.86 less than -618867?\nAnswer: -618867.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*r - 4 + 5 - r**2 - 1 in the form b*r**2 + w*r + p and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -185*j**2. Let v(i) = 62*i**2. Suppose 2*a + 14 = 0, 1193*a = 8*u + 1188*a - 11. What is u*n(k) - 8*v(k)?\nAnswer: 59*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -85*n**7\/42 + 73*n**3\/6 + 19*n - 2. What is the second derivative of c(z) wrt z?\nAnswer: -1700*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 108 and 180?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the second derivative of 14*k**3\/3 + 2*k**2 + 2*k. Let g be x(-3). Let h be 2 - (-2 - -4)*g. What is the greatest common factor of h and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1011101001100 (base 2) to base 16\nAnswer: 174c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/((-32)\/(-1708)))\/(-10*(-553)\/3160)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 13*f**2 + 18*f + 7. Suppose -163 = 5*j - 13. Let v = j + 44. What are the prime factors of d(v)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 70300 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -478c (base 15) to base 11.\nAnswer: -10475","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (-7 + 4 - -3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from xloofaoaofaff?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*(-2)\/(-4)*0. Suppose -5*o + 11 = 3*z, 3*z = -0*o + o + 5. Let y be -1 + o + (-4)\/6. Which is the smallest value? (a) -4 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + (sqrt(3025)*-3)\/(sqrt(45)*2) + 2)*-6)**2.\nAnswer: -1584*sqrt(5) + 6021","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/4 of a centimeter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -85 - -96. Let y = 11.5 - t. Is -0.1 > y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*2*8\/(-16). Suppose -45 = d*z + 3*z. Is (-46)\/(z\/(180\/8)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.44 + -30.244766.\nAnswer: -30.684766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of 19.35685 and -0.1.\nAnswer: -1.935685","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 3661467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/4 + 5 - (1071\/54)\/7.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 10*u**2 + 35*u - 343. Determine a(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 2215025.\nAnswer: 3, 5, 2215025","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of -h**5\/20 - h**4\/3 - h**3\/2 - 2*h**2 + 5*h - 3. Let d(p) be the first derivative of x(p). Calculate d(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (((-134)\/60)\/1)\/((-18)\/54) and -49\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from {t: 5, n: 3, i: 8}?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 2\/11 (c) 4 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 13, 28, 55, 94?\n\"Answer: 6*k**2 - 3*k + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - (-1)\/14)\/(-31 - -29)*2. Which is the biggest value? (a) 7 (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*h**4*n + 10*h**4 - 3*h + 2*n + 8 wrt h?\nAnswer: -36*h**2*n + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 10) in base 5?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -227 or -448?\nAnswer: -448","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -22950720 divided by -147120\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 172120211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q + 9. Let f = -2 + -2. What is w(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 23*a + 222. Determine u(24).\nAnswer: 774","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) be the third derivative of 1\/60*s**5 + 0*s - 16*s**2 + 0 - 1\/8*s**4 + 0*s**3. Let t be v(0). Which is bigger: t or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -15 or -124?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 21 = 51. Suppose 8 = -4*s, -5*t + s + 12 = -10. What is the remainder when 24 - (-1 + (t - 6)) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a year in months?\nAnswer: 162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (sqrt(5) + -3)**2 + 2 - (1 + -1*(sqrt(5) + 1)))*-3.\nAnswer: -54 + 15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 10*n. Let l(r) = -211 - 63 + 274 + 147*r**2. Give v(l(c)).\nAnswer: 1470*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -47700000 rounded to the nearest 1000000?\nAnswer: -48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3 + 2*s**3 - 2*s**3 + 4*s**3 + s**4 + 2*s**2 - 4*s = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -7c8852ca + 4?\nAnswer: -7c8852c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*l - 6*l + 26*l = 930 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2.2338 times -1.94\nAnswer: 4.333572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -g + 990 - 976, 0 = 3*r + 5*g - 58 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(11) - sqrt(88)\/(sqrt(8) + sqrt(48)\/sqrt(6))) + -1*sqrt(77)\/sqrt(7) + sqrt(11).\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 335317290?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/7 - 15086*f**2\/7 + 28304566*f\/7 + 543246518\/7.\nAnswer: 2*(f - 3781)**2*(f + 19)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (145*k**2 - 169*k**2 - 573*k**2)*(-2*k**3 + 8*k**3 - k**3).\nAnswer: -2985*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45*p**2 + 106*p**2 - 22*p**2.\nAnswer: 39*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75 - 321 - 9*j**2 + 167 + 97.\nAnswer: -9*j**2 + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -186 + 183 + (-1 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 - ((-1 - -11) + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-2)\/((36\/27)\/((-4)\/(-6))))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 416 + -2?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 95348252?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 5*y + 19 = 0, 3*y = 10 - 16 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 6, u: 4, m: 3}. What is prob of picking 1 o and 1 u?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 - c**2 + c - 49. Let h be y(0). Let a = -33 - h. Find the common denominator of -63\/22 and (-10)\/(-30)*123\/a.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 39896 - 28488. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -47 + 48. Let q(v) = -5*v + 2. Let b(l) = -l + 1. Let h = 9 + -15. Let g(k) = h*b(k) + y*q(k). What is the first derivative of g(n) wrt n?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -5, 2, 7, 879, 5 in increasing order.\nAnswer: -5, -2, 2, 5, 7, 879","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*b = 2*l + 144, -165*b - 1 = 3*l - 163*b + 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -3581*d. Let b(l) = -38*l. Calculate -6*b(g) - 3*w(g).\nAnswer: 10971*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3475 - 3416. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Express 16*t - 4*t - 15 - 4*t + 6*t as v + x*t and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/2, -4, -2, -38 in decreasing order.\nAnswer: 3, 3\/2, -2, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + g = -0*z + 33, 11 = 3*z - 2*g. Let p = 15 - z. Let q(a) = -a**2 - 9*a - 6. What is the remainder when q(-4) is divided by p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36097.\nAnswer: 36097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 412 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -35857, -35858, -35859, -35860?\n\"Answer: -r - 35856","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 431 divide 12925553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 112751515 and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 6066799 to the power of 1\/2, to the nearest integer?\nAnswer: 2463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36955?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1852 - -41294758\nAnswer: 41296610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 884544245?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -2*d + 740, p - 1775 = -5*d + 6*p. Suppose 37*o = 46*o - d. What is the highest common factor of 10 and o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 271240 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*4\/28*8\/16?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 103\/((-28325)\/(-231))*40\/28?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) -0.1 (c) 27 (d) -5 (e) -0.4441 (f) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 20\/(0 - 5)*28. Let p be (-126)\/24*m\/6. Let x = 393\/4 - p. What is the nearest to x in -2, 55, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 76642*x**2 - 174763 wrt x.\nAnswer: 153284*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (19 - (-1744)\/(-80))*(-2)\/((-12)\/150).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**2 - 24*b + 4. Let y be z(0). Solve -y*h + 35 - 39 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4150*q + 1507 = -4287*q for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 27603208 > 27603190?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1131 - -0.0589. What is the smallest value in 5, o, 0.2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39442 - 39442 = -26*c. Solve c = 29*h - 124*h - 380 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 2082815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1875)\/(-27) + (-11)\/(2178\/88). Solve 6*v + k - 51 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1145540?\nAnswer: 2, 5, 11, 41, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1899605 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = h**2 + 8*h + 9. Let f be j(-7). Suppose 6 + 2 = w - 3*z, -2*w + f*z = -4. Let s = -1099\/6 + 182. Which is greater: w or s?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 6166297728?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -0.056, 2, 5, -2.\nAnswer: -5, -2, -0.056, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -19*b**3 + 3*b + 4. Let i(n) = -13*n**3 + 2*n + 3. Determine -7*i(r) + 5*o(r).\nAnswer: -4*r**3 + r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**2 - 9*g + 63. Give n(10).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + (-7 - -20) + 5 - 13) + -51 + -3?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 2*k**2 + 5. Let w(n) = 3*n**2 + 9. Let b(u) = 7*d(u) - 4*w(u). Determine b(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 18*i - 11. Let a(t) = 8*t - 6. Let s(l) = 3*l - 80. Let n be s(23). Let w(d) = n*a(d) + 6*y(d). Let q(r) = 4*r**2. Give w(q(p)).\nAnswer: 80*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 4:51 AM?\nAnswer: 12:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a day in minutes?\nAnswer: 1980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h + 3*l - 82, 5*h = l - 130 - 49. Suppose 0 = 2*z + 3*x - 147, 2*x + 215 = 3*z + x. Let v = 122 - z. Calculate the common denominator of v and h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + j)*(3*j - 3*j + 5*j) + (-5 + 0 + 4)*(-4*j**2 + 2*j**2 + 0*j**2).\nAnswer: 7*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -21 - 19 + 4*k**2 + 35 + 3*k + 0*k. Let q = -2 + 4. What is the tens digit of x(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 + 1 - 10 + 11)*(742*d - 1448*d + 751*d).\nAnswer: -360*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -96 - -862\/9. Let h = 2 - -1. Suppose 4*y = -12, h*b + b + 11 = -5*y. Is b greater than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40692 = 1249*s - 4272 for s.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the second derivative of g**4\/3 + g**3\/3 - g**2\/2 - g. Is q(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(448)*-2*3.\nAnswer: -48*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n**2 - 5*n - 55. Give r(8).\nAnswer: 353","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 159.06121 take away -1817534?\nAnswer: 1817693.06121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*s + 120*s**2 - 64*s**2 - 18*s - 60*s**2.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*c = 8*c + 72. Suppose -c*n - 6*n**2 - 12*n**2 - 2 + 3*n**4 + 1 - 8 = 0. Calculate n.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -162, 1 in increasing order.\nAnswer: -162, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 180 and 33.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**2 + 12 - 12. Let u(g) = 8*g. Calculate u(l(t)).\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let s(a) = 309*a**2. Calculate z(s(x)).\nAnswer: 190962*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -24232, -24289, -24348, -24409, -24472, -24537?\n\"Answer: -i**2 - 54*i - 24177","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-490)\/(-175))\/((-4)\/(-10))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 15*g + 83. Let x be j(8). Differentiate 19 + x*m**2 + 32 - 207*m**2 + 4 + 9*m**3 wrt m.\nAnswer: 27*m**2 - 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34017698 a multiple of 983?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 6*b**2 + 2*b**2 + (11*b + 0*b - 3*b)*(-b + 0*b + 3*b).\nAnswer: 13*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -551932, 12 in increasing order.\nAnswer: -551932, -5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -5*l - 7407, 12*t - 15*t + 11099 = 4*l. Let a = t - 2488. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - m**2 + 1)*(-2*m**2 + 2 - 2)*(-3*m + 3*m + 2*m + (0 - m + 0)*(0 - 1 + 2) - 2*m + 2*m - 2*m).\nAnswer: -2*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) be the first derivative of f**5\/15 + f**4\/12 - f**3\/9 - f**2\/6 + 2. Factor r(x).\nAnswer: x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7133 and 11209?\nAnswer: 78463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*((k\/((k*k*k**(-4\/9))\/k))\/k)\/k*k*k*k**(-2\/9)*(k*k*(k**3*k)\/k)\/(k\/(k\/(k*k**(2\/17)*k))) assuming k is positive.\nAnswer: k**(628\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 2, m: 9, r: 5}. What is prob of sequence mkrm?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (310*k**3 - 179*k**3 - 166*k**3)*(2 - 2 + 2*k).\nAnswer: -70*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*g - g + 4*g)*(2*g + 1 - 1) + 0*g**2 - 2*g + 6*g**2 - 9*g**2 in the form l + f*g**2 + j*g and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 3*r - 291 = 0, -4*z + 199 = -2*r - 33. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1a + 2647a59?\nAnswer: 2647a3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 695075 and 150.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27681 is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1570 + -3*(-10)\/(-30)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**3 - 51*y**2 - 58*y - 654. Determine b(27).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - 2) + (0 - 0 - (81 - 80))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (35\/(-3) + 9)*(-2)\/20. Find f, given that 2\/15 + 2\/15*f**4 - r*f**2 + 0*f + 0*f**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let k = -4001 + 4001. Let v(t) be the third derivative of k*t + 1\/6*t**4 + 0*t**3 - 14*t**2 + 0. Calculate j(v(z)).\nAnswer: -8*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -27*c - 100. Let x be m(-6). Let s be x\/(-403) - 84\/(-39). Solve -5*h + 16 - 38 = -s*a, 0 = a - h - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (-2*sqrt(68) + 0)*-2)**2 - (6*(sqrt(68)*-2)**2 - (0 + 2*sqrt(68))**2)*5.\nAnswer: -5708 - 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l + 108. Let c(z) = -39*z + 12*z + 9*z + 2*z + 17*z. What is u(c(n))?\nAnswer: 2*n + 108","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 - -5)\/((-4)\/14). Let i = v - -12. Solve -i = -o - 0*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gk when two letters picked without replacement from garkgkgkkkkgkgkrak?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**2 + 127418484*t + 2029433758107282.\nAnswer: 2*(t + 31854621)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:40 AM and 11:08 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(1\/27)*n\/(n\/(n\/n**29)) assuming n is positive.\nAnswer: n**(-755\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5 + 2 + 23*w + 3*w**2 - 17*w + 4. Let n(r) = r**2 + 3*r + 6. Let d(v) = -2*m(v) + 5*n(v). Give d(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 7*y**2 + 4*y - 8. What is u(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + (31 - 36 - -66)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the first derivative of -v**3\/3 + v**2 - v - 24. Let k(w) be the second derivative of -w**4\/6 + w**3\/2 + w. Let s be k(2). Determine t(s).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*d = -12*d - 4*d - 319 for d.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2055518651?\nAnswer: 2055518651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**6\/10 - i**5\/20 + i**4\/24 + i**3\/3 - 2*i**2. Let r be j(2). Calculate the greatest common divisor of 8 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 7*n**3 - 6*n**3 - n + 10*n**3 as s + j*n + x*n**3 + l*n**2 and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 36 + 470?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 + 5840*h**2\/3 - 1948*h.\nAnswer: 4*h*(h - 1)*(h + 1461)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/2 of a millimeter in micrometers?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.905046*-144\nAnswer: -130.326624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 9*x - 9*x - 3*x**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 24942*w**4 - w - 12208 wrt w?\nAnswer: 299304*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n + 1. Let c be x(-7). Suppose 7*d = c*d. Let h(f) = 1 - f + 5 + d*f + 2*f. Determine h(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -9 - -8 - (-9 - -15).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -18278 in 1, -0.3, 2, 0.4, -167?\nAnswer: -167","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uss when three letters picked without replacement from iuuhzsusu.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 43.798 + -0.198. Let n = o + -43.599999426. Round n to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69682147 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-one halves of a microsecond in nanoseconds?\nAnswer: 40500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -3*r**3 - r**2 + 2*r + 2. Let a be n(-1). Suppose -2*m - 4*y = -92, -5*m = -y - a*y - 178. What are the prime factors of m?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1967 times -0.06\nAnswer: -0.011802","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 64 = -3*t + 116, -240 = -4*t - 3*q. Suppose 6*s - 149 = 91. What is the highest common factor of s and t?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 152*x**2 + 229*x**2 - 100*x**2 + (2 - 1 - 3)*(-x**2 + 2*x - 2*x) in the form m*x**2 + b + h*x and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -9 + -13d90b?\nAnswer: -13d915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 199940367 a multiple of 175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(2\/10 - 0). Suppose 9*f - s = 325. What are the prime factors of f?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7144803 is divided by 1277?\nAnswer: 1265","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00774 to 3 decimal places.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - (-5*sqrt(70) + sqrt(70))*3)\/(sqrt(120)\/(sqrt(84)\/sqrt(7))).\nAnswer: 13*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 e and 1 k when four letters picked without replacement from kkwkwekkwekwwwksses.\nAnswer: 7\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -34 + -3214015334?\nAnswer: -3214015412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - r = 264. Suppose q = -1, 3*g = -3*q + r + 2. Solve -t - t = 5*v - g, 3*t - 4*v = -11 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) 6481 (c) -0.3 (d) -2\/3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lxxl when four letters picked without replacement from {l: 2, x: 7}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.102444 millimeters?\nAnswer: 3102444","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 121\/17080 and -97\/1320.\nAnswer: 563640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes after 8:58 AM?\nAnswer: 4:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -706800 rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c - 463 + 949 = 462, -4 = -3*u - 5*c for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -124 + 167. Find the second derivative of -33*x + 97*x + j*x - 63*x**5 wrt x.\nAnswer: -1260*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-112856)\/18 + 2*(-2)\/18. What is u rounded to the nearest 100?\nAnswer: -6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 268.94375 and -13334.\nAnswer: -13065.05625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*f - 3*f. Suppose o - 5*j = 27, -5*o = -0*o - 2*j - f. What is the third derivative of -2*d**2 + 3*d**o - d**6 - 2*d**2 - 3*d**6 wrt d?\nAnswer: -480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/2103 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1.866846 millennia?\nAnswer: 22402.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 2*f + 2*f)*(-3 + 1 - 2 + (5 - 1 - 3)*(-2 + 7 - 2))*(2*f**3 + 0*f + 0*f) to the form b*f**3 + c*f + i*f**2 + m + n*f**4 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**0)\/l**(-1\/6))\/((l**(-10)*l)\/(l**(-4)*l)) assuming l is positive.\nAnswer: l**(43\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/5 of a microgram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the second derivative of x**6\/270 + x**5\/36 - 2*x**4\/27 - 2*x**3\/9 - 251*x. Find r such that i(r) = 0.\nAnswer: -6, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 + 7 = -z. Suppose 4*y = h - 7, y = h - 4*y - 7. Let d = h - z. What is the remainder when 34 is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3108 + 3254. What is the remainder when 294 is divided by z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (6\/184)\/(-93*(-2)\/(-2500)). Let z = g + 11\/62. Let o = z - -134\/161. Which is the third smallest value? (a) o (b) 1 (c) 14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 853, 781, 665, 505?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*i - 3*i + 2*i**5 - i + i**5 + i + (-i - i + 3*i)*(-3*i**3 + 2*i**4 + 3*i**3) - 3*i**3 - 2*i**5 + 3*i**3 + 2*i**5 + i**5 + i**5.\nAnswer: 7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.8191469 to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 7, c: 3, o: 3}. What is prob of picking 1 l and 1 o?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that -165*y**3 + 14589*y**2 + 8532*y + 1068 = 0.\nAnswer: -2\/5, -2\/11, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 3*i - 16. Let g be c(0). Let w(m) = -18*m + 2. Let s be w(-2). Let h = g + s. Does 5 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-5*(sqrt(880)*-1)\/(4*sqrt(20)\/sqrt(4))*6)**2 + -5.\nAnswer: 247495","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let r = -31636 - -32151. What is the smallest common multiple of r and 824?\nAnswer: 4120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -1, 5, -5, 41248 in increasing order.\nAnswer: -5, -1, 5, 6, 41248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7766, 15530, 23294, 31058, 38822?\nAnswer: 46586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.563865us in hours?\nAnswer: 0.0000000009899625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p + 563 = -95. Let f(l) = 0*l - 46 + 6*l**2 - 3*l + p + l + 5*l. Let t(a) = -5*a**2 - 2*a - 1. Let x be 4*(0 + 0 - 1). Give x*f(h) - 5*t(h).\nAnswer: h**2 - 2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 35310?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3 - 2604*j**2 - 209243*j.\nAnswer: -j*(j + 83)*(j + 2521)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + 0*k + 17*k + (-k - 2 + 2)*(-4 + 1 - 3))*(-4 + 4 + 3*k**3).\nAnswer: 60*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2247, 2244, 2241, 2238?\nAnswer: 2235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 796\/5 less than or equal to 158?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -722 and -111.\nAnswer: -833","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/2*62\/(-1085)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(121)\/(sqrt(539)*6).\nAnswer: sqrt(11)\/42","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let 4\/5*s**3 - 19\/5*s**2 + 4\/5 - 4\/5*s + 3*s**4 = 0. What is s?\nAnswer: -1, -2\/3, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222, 265, 314, 369, 430?\nAnswer: 497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/3 + (-9)\/(-27). Let i be f*2\/(-4) + 4. Suppose i*n - 2*n = -4*s + 21, 5*s = -n + 25. Solve -n*p + 0*p + 4*r = -12, -2*r = 6 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-d + 3*d + 2*d)*(0 + 1 - 2)*(5 + 723 - 3) to h*d + y and give h.\nAnswer: -2900","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1506 - -181878?\nAnswer: 183384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2\/13)\/h*h*h**(-6\/5) assuming h is positive.\nAnswer: h**(-88\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671647 is divided by 70.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1406616 + 4219866 - 1406627 - 1406623 + j**3.\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 k when three letters picked without replacement from xwkwwkwxwwww.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 9.155455 hours?\nAnswer: 549.3273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3544 is divided by 39?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 3\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0126 - 0.3126. Let j = 0.17 - 0.3. What is the third biggest value in u, j, 2\/3, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*u = -195 - 339. What is the second smallest value in u, 0, 5\/4, -64?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -48*g - 33. Let b(r) = -3*r - 2. Let u(a) = 33*b(a) - 2*d(a). Let y(j) be the third derivative of 7*j**4\/12 + 14*j**2 - 2. Determine u(y(h)).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/480 and 87\/4.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + 14. Let q = z + -28. Which is greater: 3 or q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32184402911 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of k**3\/3 - 57. Let z(t) = 16*t - 1. Give z(g(b)).\nAnswer: 16*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 121\/96 and 65\/192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p = n, 2*n + 1144*p - 1142*p - 4 = 0 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-4))\/l*l**(4\/17)*l**(-10)*l\/l**11)**(1\/46) assuming l is positive.\nAnswer: l**(-202\/391)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.037 times -14169\nAnswer: -524.253","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*g + 2 - 2)*(-12*g - 185*g - 20*g)*(1 + 1 - 1) as a*g**2 + s + z*g and give a.\nAnswer: -434","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 12:04 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (1462*r**3 - 1462*r**3 + 705*r**4)*(2 + 1 + 0) + (3*r**2 - 3*r**2 + 2*r**4)*(3 + 0 - 4) as j*r**3 + v + d*r**4 + l*r**2 + w*r and give d.\nAnswer: 2113","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1 - 3178?\nAnswer: -3179.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1772092*2\nAnswer: 3544184","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/((x**(-33)*x)\/x*x))\/(x**(-30)\/x)*x**(-1\/11)\/x**(-5) assuming x is positive.\nAnswer: x**(758\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*j + j - 2033 = 3262 - 3595 for j.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 12:35 PM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*k + 13*k = -10*k. Solve 2*q - d + 1 = k, 2*q = 5*q + 3*d + 6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 15 = p, -2*y = -p + 3*y - 1. Suppose -p = -u - 4. Solve -u*v = -a, 0 = -v + 3*a - a - 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*o - 44 = 19*o - 25*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 5 divided by -1558212\nAnswer: -5\/1558212","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15123 or -15149?\nAnswer: -15149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q**2 + 32*q + 21. What is the remainder when z(-13) is divided by 88?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*p - 4 + 12. Suppose 60 = 2*t + p*l, -3*l - 14 = -5*t + 71. Suppose -3*x - t = -8*x. Calculate the remainder when 12 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 25*i - 6. Let n be f(2). Let t = n - 54. Let r = -21\/2 - t. Which is the fourth smallest value? (a) r (b) -0.18 (c) -2\/17 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -91*m**3 - 538*m**2 - 227*m + 711332976?\nAnswer: -273*m**2 - 1076*m - 227","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + t**2 + 4)*(t - 1 + 1) + (-29*t**2 - 1948 + 1948)*(t - 3 + 3) as l + j*t**3 + k*t**2 + y*t and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 141*j**3 + 4*j - 4. Let g(f) = -4935*f**3 - 141*f + 141. What is 4*g(z) + 141*i(z)?\nAnswer: 141*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 54 + -42. Let m be 4\/(s\/(-9)) + 6. Solve 16 = 4*x - 0*x, 4*b + m*x + 4 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Suppose 10*x = w*x + 95. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 93 + -36. List the prime factors of h.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 69, 70, 71, 72, 73, 74?\n\"Answer: p + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.39 - 1.89. Which is the closest to 1? (a) j (b) -9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 447*z + 508*z - 12*z = 20746 for z.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 107714081 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u - 1. Let p = -2 + 0. Let i be a(p). Let n be (-7)\/((-273)\/6) - 54\/13. What is the second biggest value in i, -0.5, n?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -32135 - 5?\nAnswer: -3213a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 35 or 18?\nAnswer: 35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 - 6.95. Let v = 4 + i. Let r = -10\/13 - -27\/52. What is the third smallest value in v, r, -2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21613\/11 - -1965. Which is the closest to r? (a) -2\/3 (b) 0.5 (c) -7\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) 36 (b) -4\/7 (c) 3 (d) 7 (e) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -2086*x + 27117. Calculate g(13).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 53374*s**3 - 75*s**2 - 180 wrt s.\nAnswer: 320244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 + 9*g**2 - 9*g - 7. Does 33 divide k(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u + 8. Let b(l) = 21*l - 1. Let z be b(1). Let j be (22\/z + 3\/(-6))*-5. What is the tens digit of o(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -3, 12833?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -44de7a (base 15) in base 14?\nAnswer: -617d1a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in hours?\nAnswer: 196","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2473, -6004, -10641, -16384, -23233?\nAnswer: -31188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 - 35.1. Sort u, -3, 0.3 in decreasing order.\nAnswer: 0.3, u, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-36)\/30)\/(147\/(-14)*2\/25).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -274.1 - -215.1. Let f = 9.3 - 63.3. Let g = u - f. Which is the nearest to 2\/7? (a) 2 (b) -2 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -133930, -134020, -134110, -134200?\nAnswer: -134290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -255*j + 14. Suppose 17 = -o + 5*d, 4*o + 4*d - 2 - 2 = 0. What are the prime factors of y(o)?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1704451 and 531?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 126867*m**2 + 2*m**3 - 126867*m**2.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 3, 1.59, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 23797 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 49, 64, 89, 124, 169?\n\"Answer: 5*n**2 + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-1 - (2 - 0) - -5)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1648102*n**2 + 1981056.\nAnswer: -3296204*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10824638 to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/4*1300\/975?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v - 2*u + 46, -v + 0*v - 34 = 4*u. Sort 4, -5, v in ascending order.\nAnswer: v, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 808, 1616, 2420, 3220?\n\"Answer: -2*x**2 + 814*x - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 14. Suppose -3*k = -l - l - 18, -i*k + 5*l + 12 = 0. Solve 4*m + k = -2 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 2:49 AM?\nAnswer: 12:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sjkrkjjswkrsskjwkjw. What is prob of sequence swk?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-784)\/1764)\/(752\/24).\nAnswer: -2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*v**5 + 11*v**4 + 34*v**3 - 19112*v**2.\nAnswer: 120*v**2 + 264*v + 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -167 - 115*q + 1159*q - 167 + 334 to r + p*q and give p.\nAnswer: 1044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-14575)\/99 + 4*2\/36. Let c = q + 254. Suppose -r - 2*r + c = -2*i, -2*r = 4*i - 98. Is r a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -4*h**2 - 24*h + 80. What is t(4)?\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*h**2 - 4*h**2 + 2*h**2 - 20*h**2.\nAnswer: -43*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 105 + 13. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 347, 491, 691, 947, 1259, 1627, 2051?\nAnswer: 2531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -392160 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -49, -136, -223?\n\"Answer: -87*j + 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = -901 + 4179. What is the hundreds digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3354 divided by -6.\nAnswer: 559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*h**2 - h**2 + h**2.\nAnswer: -14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2454988 to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 138 and 1104.\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 7532415799 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -162 + 276. Calculate the remainder when c is divided by 29.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dww when three letters picked without replacement from {v: 2, w: 2, d: 7}.\nAnswer: 7\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22746\/(-17840)*10\/85.\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l - 3*l = 8 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5796835943 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003827 rounded to 4 dps?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46 - -51. What is the first derivative of -13 + 14*g - o*g - 2*g wrt g?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3645544*o**2 + 572013?\nAnswer: -7291088*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6891513, -6891510, -6891507?\nAnswer: -6891504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 9, l: 11}. Give prob of sequence tt.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**4*d*d*d*(d\/(d*d**(3\/5)*d)*d)\/d)**(-2) assuming d is positive.\nAnswer: d**(-54\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3684?\nAnswer: 2, 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 170062 and 29576?\nAnswer: 680248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of 27*a**2 - 26*a - 39\/2*a**3 + 29\/4*a**4 - 27\/20*a**5 + 0 + 1\/10*a**6. Factor z(n).\nAnswer: 3*(n - 3)**2*(n - 2)*(n - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8587900 to the nearest 1000000.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -2 + -14 + (-98 - -222) + -131?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21, 50, 127, 276, 521, 886, 1395?\nAnswer: 2072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 62 = 4*w, -75*m - 99*w = -103*w + 1030 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51216 by -12.\nAnswer: 4268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that 4*l**2 + 12*l - 40 = 0.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 106088188.\nAnswer: 2, 26522047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/496 and -29\/8.\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 + 9*b**2 + 8*b + 2. Let d be q(-8). Suppose -5*u + 183 = d*l - 249, 5*u = -3*l + 428. Is u a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7099 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.0996 + -25.1516. Let o = -0.052 - y. Let g = o - 16. Which is the nearest to 0? (a) 4\/3 (b) g (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3359 + -0.6641. Which is the nearest to 2\/7? (a) o (b) -0.2 (c) 2 (d) 6\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 151223 + -243951. Is (-3)\/(-5) + b\/(-20) + -8 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177310?\nAnswer: 2, 5, 7, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:59 PM and 6:40 AM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 576 or 578?\nAnswer: 576","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -3788166 divided by -6\nAnswer: 631361","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l + 0*l - l**2 - 11*l + 52 - 2*l**3 as q + j*l**2 + k*l**3 + z*l and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w - w**2 + 29308620 + 2*w + 29308638 - 58617258.\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(252) + -1 - sqrt(7) - sqrt(7))**2 + 5.\nAnswer: -32*sqrt(7) + 457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -24 + 27. Suppose 15 = 2*o + 3*t, 3*o - 2*t = 5*o - 20. What is the highest common divisor of y and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 435791*d**3 + 694749*d**3 + 37*d - 37*d.\nAnswer: 1130540*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d + 61. Let u be j(-29). Suppose 4*k + u = -4*a + 19, 16 = 4*k. Solve 5*s + a*f - 2*f = 33, 2*f = -3*s + 7 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 + 8*a - 1. Let n be s(4). Suppose -5*u = 5*c - n, -4*c + 3 = -4*u - 9. Let r(q) = q**3 - q**2 - 3*q + 2. What is the tens digit of r(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 15*c**2 - 49*c**2 + 14*c**2 + 17*c**2 + 8. Let b = 9 - 15. Let j(g) = 7*g**2 - 17. Determine b*j(o) - 13*v(o).\nAnswer: -3*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**4\/5 + 6*w**3\/5 - 6*w\/5 + 3\/5 = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 215197.74786 to the nearest 10.\nAnswer: 215200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -12456, -49738, -111888, -198900, -310768, -447486, -609048, -795448?\n\"Answer: b**3 - 12440*b**2 + 31*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2845561 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1345690 and 0.5.\nAnswer: 672845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 639346 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2102*u - 765*u = -688 - 58140 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 513.6 (b) -117 (c) 1.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*b**2 - 129*b - 134*b - 124*b + 514*b - 127*b.\nAnswer: 12*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -3\/10 (b) 278\/111 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hjm when three letters picked without replacement from {m: 1, h: 2, f: 1, j: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = -3*f + 2, -8*f = -6*f - x + 1. Let v(s) = 3*s**2. Let w(c) = c**2. Give f*w(h) + v(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of d**8\/84 + 2*d**7\/35 - 2*d**6\/15 - 68*d**2. Suppose y(x) = 0. What is x?\nAnswer: -4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1800 divided by 4.\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -43456 + 43474.779. Round q to one dp.\nAnswer: 18.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*p - 43*p = -4 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3 + (-15)\/10)\/(3\/126). What is the units digit of (-14)\/(-6) + 16107\/g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 3.248866ng?\nAnswer: 0.000000003248866","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4788 and 1482.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*q - 114 - 238 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -1*(-2 + sqrt(363) + sqrt(363)))**2 - (-2 + ((-1 + (sqrt(363) + 0 - sqrt(363)))**2 - sqrt(363))).\nAnswer: 143*sqrt(3) + 1462","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6848 * 27908.\nAnswer: 191113984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are -5184917 and -5184917 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -25, -1, -51, -2, -12, 5 in increasing order.\nAnswer: -51, -25, -12, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.002933 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1547*h - 1547*h + 16 + 4*h**2 to the form u + y*h**2 + r*h and give u.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-5)\/(-25))\/(208\/(-4330)). Let n = a - -27\/26. Find the common denominator of ((-110)\/14)\/(0 + -1) and n.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 3 = 0, -g - 2 - 3 = 2*c. Let s(f) = f**3 + 3*f**2 - 2*f. Give s(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 + 32. Suppose 5*f = -3*v - 1 + 27, 0 = -3*v + 3*f - 6. Let y be 54 - (3 + (-2)\/v + -4). Calculate the greatest common factor of t and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 11 = -7*d + 8*d, -18 = -2*d - 2*m. Let k = -340 + 489. Suppose 0 = d*g - 809 + k. Is 12 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4b3255 + -1?\nAnswer: 4b3254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 + -9. Suppose 1 - 7 = -f*m. Solve -9 - 1 = m*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1477139 is divided by 184640?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fhsayhoo. What is prob of picking 1 y and 1 s?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v**2 + 2*v**2 + (-2*v + 7*v + 2*v)*(2 - 2 - 2*v))*((1 - 4 + 4)*(-5*v + 3*v + 0*v) + 3*v - 2*v + 0*v).\nAnswer: 10*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (141*b - 20 - 18 + 39)*(-b - b - b).\nAnswer: -423*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 30*g - 763. Let n be j(56). Solve n = -4*i + 921 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 160 + -145. Suppose -2*g + 116 = -5*x, -g + u*x - 14*x + 52 = 0. Calculate the smallest common multiple of g and 36.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 2631?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the third derivative of a**5\/60 - 17*a**4\/24 - 4*a**2 + 10*a. Let f(c) = 0. What is c?\nAnswer: 0, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 9*r = 4*h - 13, -2*h = r + 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4 and -2912.8.\nAnswer: 11651.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2853976 is divided by 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 76\/(-24) - 5\/(-30)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-14)\/21 + (-251)\/(-3) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + p = 6*p, -5*z = 2*p - 51 + 22 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -353, -1743, -5207, -11783, -22509, -38423, -60563?\nAnswer: -89967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -113 = -15*y - 38 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 52.977*0.7\nAnswer: 37.0839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes before 2:51 PM?\nAnswer: 7:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, x: 1, k: 1, q: 1, i: 2, l: 1}. Give prob of sequence lq.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by -358\nAnswer: 6\/179","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the second derivative of 76*b**3\/3 - 9*b**2\/2 + b. Let k(n) = 6*n**2 - 91*n + 20. Let m be k(15). Is l(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*x**3 + 3*x**3 - 4*x**3 + (x**2 + 1 - 1)*(36 - 36 - 8*x) + 14*x - 6*x**3 - 14*x.\nAnswer: -12*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.064 + -175.936. Let l = 61 + b. Let w = -115.00000067 - l. Round w to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20)\/(-12) - 2\/(-6). Let r(u) = -4*u - 10. Let d = 12 + -20. Let f be r(d). What is the highest common divisor of f and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 398181 and 3697395?\nAnswer: 25881765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-8\/3)*h**(-4))\/(h**(-1\/6)\/h*h*h**(-18\/7)\/h) assuming h is positive.\nAnswer: h**(-41\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*x + 3210 = x + 2935 + 4075 for x.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -4*d, -39*p - 38 = -38*p - 8*d for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**13\/h)\/h*h*h**13\/h)\/(h**12*h\/h**(-1\/3)) assuming h is positive.\nAnswer: h**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*l + 40*l + 10*l + 9*l in the form z*l + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6192*s**2*v**4 - 2*s**2*v**2 + 2*s**2 - 20*s*v - 2*v**6 - 16*v wrt v?\nAnswer: -148608*s**2*v - 240*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -197.664347 to the nearest ten.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1503 take away -4?\nAnswer: 3.8497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2803, -9247, -20003, -35083, -54499, -78263, -106387?\nAnswer: -138883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of -r**6\/120 - r**5\/60 + 17*r**3\/3 + r**2. Suppose -5*k = -s - 5, -1 = -s + 4*s - k. Is d(s) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 53, 158, 307, 500, 737, 1018?\nAnswer: 1343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:09 AM and 6:44 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-3)\/(-2)) - -46. Suppose -3*p = p - i. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2\/7 + 1503*o\/7.\nAnswer: -3*o*(o - 501)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15422 + -9243. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 5*k + 5. Let d = 47 - -20. Let a = 71 - d. Let q(b) = -9*b - 9. Calculate a*q(j) + 7*s(j).\nAnswer: -j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -124647 divided by 3?\nAnswer: -41549","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 7*d + 2*d**2 + 13 - d - 3*d**2 + 4*d. Give o(11).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 71\/99038 and 53\/460.\nAnswer: 990380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 j, and 1 i when four letters picked without replacement from eooiijeofijioii?\nAnswer: 24\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 168\/15*(664\/16 - 44).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 4, s: 7, t: 5}. What is prob of picking 2 j and 1 t?\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 18405 and 644265?\nAnswer: 263504385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2 - -5. Let g(s) = 5*s - w - 12*s + 6*s. Give g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the first derivative of -16*u**5 - u**4\/4 + 13*u**3 - 3*u - 107. What is the third derivative of c(i) wrt i?\nAnswer: -1920*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459437.\nAnswer: 11, 3797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -7 + 1)*(-50)\/200.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 66591.26 litres?\nAnswer: 66591260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 3*l. Let s be h(1). Suppose 5*k - 22 = 5*n + s, 0 = 5*n + 4*k + 25. Let a(w) = -w**2 - 10*w - 4. What is the tens digit of a(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 13*u**3 + 23*u**2 + 42*u - 19. Is w(25) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 3*s + 11 + 3 for s.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.9 + -2. Let u = 1137 - 1137.08. What is the closest to i in 2, u, -0.3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -1393, 388, -2 in increasing order.\nAnswer: -1393, -5, -2, 388","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1, -6, -7, 0, -232 in decreasing order.\nAnswer: 1, 0, -4, -6, -7, -232","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 552 and 549 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 289\/51*(3282\/18*15 - 2). Calculate the greatest common factor of 17 and s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 459 and 129591?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6134*l - 24385. Give o(-4).\nAnswer: 151","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 + 16*d - 11*d + d**3 - 6*d**2 - 6. Let t be b(5). Suppose -4*u + 163 = t. Is 6 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the first derivative of 5*p**2\/2 - 618. Let u(t) = -5*t**2 - 1 + 1 + 4*t**2. Determine m(u(r)).\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 7, p: 3}. What is prob of picking 1 p and 3 u?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -665*r + 10676. What is s(16)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 - 16*f - 18. Let a be c(-1). What is the closest to -0.1 in 3\/5, a, 0.4, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4676.09358 - -4676. What is h rounded to two decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 0. Suppose 0*c = r*c - 42. Suppose 0 = x + 2*x - 72. Calculate the remainder when x is divided by c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in 1\/8, 17, 410, -0.1?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3857\/406*232\/29.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 54 and 202374?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16.7 - -17.1. Let f = -4340 + 394935\/91. Let i = f + -703\/455. Which is the nearest to i? (a) -0.3 (b) 1 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, 0, 2\/17, -0.06, -294?\nAnswer: -294","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, 1, 6\/11, -1\/5, -0.73, 0.13, -2?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together 9556043731.25 and 80.\nAnswer: 9556043811.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.7404 to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -6 + 6*s**2 + 0 + 0*s**2 - 1 - s. Let p(c) = -c**2 + 1. Let q = -3 + 8. Calculate q*p(n) + k(n).\nAnswer: n**2 - n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 4032760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 75 + -158 + 77?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 + -11111010?\nAnswer: -11111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 - 7*u + 15. Determine s(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40472 is divided by 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 6*m = -46. Suppose 0 = -3*g - 28 - m. Let w = -9 - g. Calculate the lowest common multiple of w and 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(3*y**4 - 5*y**4 - y**4) + 0 + 0 - y**4 + (4*y**2 + 3*y**2 - 6*y**2)*(-6*y**2 + 2*y**2 + y**2).\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n**2 - 1. Let b(a) be the third derivative of -a**5\/15 + a**3 - 6*a**2. Calculate -b(q) - 6*c(q).\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -40*j**2 + 105*j + 46. Calculate x(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -h*o**3 + h*o**2 + 2*h*o - 776*o**3 + 2*o**2 - 76 wrt o?\nAnswer: -6*h - 4656","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzmmxmqxmxxxzm. Give prob of sequence xmq.\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*f + 10 + 17 - 3364*f**2 + 3363*f**2 to w + d*f + c*f**2 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 5 = 4*p. Suppose -4*s + p*s = 23. What are the prime factors of 6\/9*-3 + s?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes after 12:45 AM?\nAnswer: 1:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10993?\nAnswer: 10993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 184000384 to the nearest integer?\nAnswer: 569","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3)\/4 + 19\/(-16)*-4. Let i be (2\/16)\/(o\/32*-6). Sort -0.24, i, -3.\nAnswer: -3, -0.24, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 7*k + 1 - 12 - 2 - 15*k**2 + 3*k + 14*k**2. What is w(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3686971 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:21 PM?\nAnswer: 4:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -65, -326, -777, -1418, -2249, -3270?\nAnswer: -4481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 18 + -13. Let j(z) = z**2 + g - 2 - 38*z + 36*z. What is the units digit of j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 37860 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in one sixth of a week?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - a - 4*a + 2, -2*h - 4*a + 34 = 0. Suppose -2*p + 5*z - 5 = 0, -4*z + h*z - 5 = 0. Let c(x) = p*x + 0 + 1 + x. What is c(-3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -3*r**3 - 3*r**2 - 4*r - 2. Let m = 152 + -157. Let h(k) = 4*k**3 + 2 + 5*k + 4*k**2 + 0*k**3 + 0*k**3. Give m*p(u) - 4*h(u).\nAnswer: -u**3 - u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 17\/3, -6, 2\/9.\nAnswer: -6, 2\/9, 1, 17\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*c - 2975 - 3145 = -256*c for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6\/(-2*1) - (-60)\/20. Solve p = -6*q + 8*q + 2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -29*w**2 + 8845*w - 30. What is r(305)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w - 3*w = 0. Suppose w*d**2 - 236 - 4*d**2 + 252 = 0. Calculate d.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*2\/(-344))\/(222\/(-888)).\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3338.1 - 3337.8. What is the smallest value in o, -0.7, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122, -3, 5, 4, -5, -3935 in decreasing order.\nAnswer: 5, 4, -3, -5, -122, -3935","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes after 10:02 AM?\nAnswer: 6:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0.3, 7 in increasing order.\nAnswer: 0.3, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1046188*h**3 + 7*h**2 + 7181.\nAnswer: 6277128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-55)\/(-44))\/(215\/688).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -575*h**5 + 69002*h**4\/3 - 617630*h**3\/3 - 1448284*h**2\/3 - 253015*h + 294 = 0. What is h?\nAnswer: -1, 2\/1725, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48*z = -50*z + 4 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6.4 + 7.4. Which is the smallest value? (a) r (b) 12 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/6 - 120\/126. Let t = 82 + -58. Let s = t - 24.4. What is the nearest to z in 4\/3, s, 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**2 - 23*t - 4. Let r be s(12). Solve 0 = -c + 2*j - 7, 5*c - 4*j = r*c - 9 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -657219, -1315195, -1973171?\n\"Answer: -657976*c + 757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d. Let c(s) = -4*s - 2. Let f be ((-2)\/6)\/((-23)\/(-25323)). Let y = -366 - f. What is y*c(x) + 2*t(x)?\nAnswer: -2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**3 - 3*l**2 + 3. Suppose -5*c - 40 = 3*t, 4*c = -0*t + 5*t + 79. Let m be ((-10)\/t)\/((-2)\/9). What is y(m)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -560*q - 6240 - 13360 for q.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6652 * -5.\nAnswer: 33260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 + 11. Suppose -32*i + 100 - 4 = 0. Put 1, x, 4, i in decreasing order.\nAnswer: 4, i, x, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 AM and 7:33 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 727.1999968523 + -727.2. Round r to seven dps.\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/66 and 149\/3180.\nAnswer: 34980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 3*x + 3, 90*x + 3*p = 183*x - 95*x + 11 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (12\/(-8))\/((-2)\/4). Let w(l) = 3*l - 4. Calculate the remainder when w(d) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -5*d - 1. Let r be j(1). Let i = -39 + 50. Let o = i + r. Solve -o*m + 12 = l - 4, -5*l = 3*m - 14 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = k**3 - 10*k**2 - 8*k - 1. Let x be v(11). Let b = x - 29. Solve b*n - 17 = -4*i, -3*n + 2 = -5*i + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-6) - 6\/(-9)*-1\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) be the second derivative of -w**4\/9 - 28*w**3\/9 - 32*w**2 + 726*w + 2. Determine r, given that c(r) = 0.\nAnswer: -8, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31073.4144 minutes in weeks?\nAnswer: 3.08268","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5137047431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c**2 - 35640*c - 71300 = 0. What is c?\nAnswer: -2, 7130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 218.7238 hours in minutes?\nAnswer: 13123.428","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - 5*u - 1. Let n(r) = 4*r**2 + 40*r - 15. Let j(p) = n(p) + 5*o(p). Determine j(14).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1353 and 21.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -24676128 divided by 12338064?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8168262 divided by 2.\nAnswer: -4084131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + 19*g**2 + 2*g + 43. Let p be m(-19). Suppose p*h + 3*f - 19 = 0, -h + 4*f + 0 = 10. Solve -h*b = b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 12. Let c = 19 + i. Sort c, -0.2, -7 in increasing order.\nAnswer: -7, -0.2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - 4) + (3 - -1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 - 10440*x - 10436.\nAnswer: -4*(x + 1)*(x + 2609)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -122000102212202012?\nAnswer: -122000102212202100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -57, -25, 33, 129, 275, 483?\nAnswer: 765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -279 + 278.37. Let w = r - -0.13. Put -0.4, 30, w in ascending order.\nAnswer: w, -0.4, 30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ck when two letters picked without replacement from {t: 1, k: 2, c: 4}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -425*f - 95*f - 734*f to s*f + a and give s.\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(75) - sqrt(75))*1 - (3 + (sqrt(192) - -3*sqrt(192)))**2.\nAnswer: -3081 - 182*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 3, -0.3.\nAnswer: -35, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3329 a factor of 297133224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/5)*a**(-3\/2))**(-12\/11)*(a**(2\/5)\/a)**35\/(a\/(a*(a*a**(-3))\/a*a)*a**(6\/7)) assuming a is positive.\nAnswer: a**(-9143\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 15 - 21*h**2 + 23 - h + 6*h**2 + 14*h**2 - 40 - h**3. Let a(d) = 3*d**3 + 5*d**2 + 4*d + 9. What is -2*a(j) - 9*r(j)?\nAnswer: 3*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8880 and 232200?\nAnswer: 17182800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 919215*l - 4596068. Give x(5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -1011*x - 2020. Let k be o(-2). Suppose -3*i = -i + 18. Sort k, -4, i, -1 in descending order.\nAnswer: k, -1, -4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -206046523*a**2*q**2 + 144189579*a**2*q - a*q**2 - 2*a*q - q**2 wrt q?\nAnswer: -412093046*a**2 - 2*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, -3.6, -14\/9, -5\/4?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - e5757e2?\nAnswer: -e5757e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 4 = -7*i. Suppose -20 = -3*h - i*h. Sort -4, 0, h in descending order.\nAnswer: h, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -10523278.\nAnswer: 5\/10523278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 390 + -246. Let k = -142 + b. Let j(u) = -3*u + 1. What is j(k)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9687210?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**2 - 12*w + 5. Let b be 130\/(-13)*((-168)\/35 + 6). Determine n(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.33 + -0.43. Let n = 1.1 + z. Which is the closest to -2\/5? (a) n (b) -3 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -10\/7 (c) 7 (d) -2\/5 (e) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvvmvvebvvevvevebeb. What is prob of picking 2 b?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 38232 and 2178?\nAnswer: 4626072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*d + 3 - 11 = 0, -d = n - 2 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9685.4537 times 0.02\nAnswer: -193.709074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -11001 (base 2) in base 5?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 AM and 5:44 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(-3) + 204\/18. Let r = s + 2. Suppose 429 = -2*h + 5*h. Calculate the greatest common factor of r and h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 17 - 43 = 0. Let z be (u\/20)\/(1\/8). Is 1*z*(-27)\/18 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 77\/20 and (9\/(-12))\/(-3) - (-31)\/(-24)?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005243 rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2956, -23579, -79530, -188473, -368072, -635991?\nAnswer: -1009894","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + -5*sqrt(1100))**2 - (2 + sqrt(1100) + -4)) + 2.\nAnswer: -310*sqrt(11) + 27513","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -26. Which is the closest to 0.1? (a) o (b) -2\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, l: 1, d: 2}. What is prob of picking 1 d and 1 l?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17\/(9775\/138))\/((-3)\/5)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1498.873 kilograms in tonnes?\nAnswer: 1.498873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n**3 + 15*n**2 + 34*n + 13. Let x be o(17). Solve r = -5*l - x - 4, 0 = 5*l - 5*r + 35 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of m**4*z + 7297*m**4 - 4*z - 2061 wrt m.\nAnswer: 4*m**3*z + 29188*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -77 + 53 + (1 - -4) + 8 + 102?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 3*x**2. Let k(p) = -2*p - 32. Let u(b) = 2*b - 13. Let y(f) = -k(f) + u(f). What is m(y(q))?\nAnswer: 48*q**2 + 456*q + 1083","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/5940 and -119\/1980.\nAnswer: 5940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*y**3 - 2*y**3 + y**3)*(3*y - 2 + 2)*(-4 + 4 + y).\nAnswer: 6*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 89*q**2. Let t(p) be the third derivative of 5*p**4\/24 - 1148*p**2. Calculate t(b(d)).\nAnswer: 445*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5216283829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -821.36 * -0.1\nAnswer: 82.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -360115.9 rounded to the nearest one hundred?\nAnswer: -360100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ten thirds of a week in hours?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22 + 10. Let v be (k\/(-30))\/((-8)\/5). Which is greater: -6 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -955.4965*0.3\nAnswer: -286.64895","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/134244 and -41\/94248.\nAnswer: 31950072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -177*a - 151*a - 172*a + 3074 = -394*a for a.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -5*c - 1. Suppose 2*m + 3*j = -j - 2, 31 = -5*m + 3*j. Let f be 24\/(-40) + 2\/m. Calculate d(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6.14, -3, -2\/7, 3 in descending order.\nAnswer: 6.14, 3, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the third derivative of 0*a**5 - 9\/70*a**7 + 23\/12*a**4 + 0*a**3 - 27*a**2 + 0 + 0*a**6 + 0*a. Find the second derivative of x(c) wrt c.\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Round -0.009 to 4 dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u**3 - 19*u**2 + u + 2. Calculate z(10).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 57505*h**4*l**2 - 11*h**3*l**3 + 17*h**2*l**3 - 12*h**2*l**2 - h**2*l + 262*h*l wrt h.\nAnswer: 1380120*h*l**2 - 66*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-17)\/(-34))\/(105\/(-40)))\/(44\/33)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.3354 minutes in microseconds?\nAnswer: 26480124000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 smaller than -2\/422334203?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 3474044 divided by -32774\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 36 and 11040.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lel when three letters picked without replacement from {e: 2, l: 6}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(70)\/(sqrt(14)\/sqrt(2)))\/(sqrt(605) - (-1*sqrt(605) + sqrt(605) - sqrt(605) - sqrt(605))).\nAnswer: sqrt(2)\/33 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 1 - 2)*(346144 - 127*x - 346144) to a + z*x and give z.\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or 510\/13?\nAnswer: 510\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 2*z + 5 = 0, -x + 5*x + z - 11 = 0. Solve -3*t + 2*j = 3, -t - 2*j + x*j = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 90404 - -2?\nAnswer: 90406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 29056207 to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5 + (126\/(-210))\/(-2*(-3)\/30). Solve -3*x + f = -6*x - 8, -w*x + 2*f = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-1\/11))*r\/r**0)\/((r\/(r**(4\/19)\/r))\/(r\/(((r**(11\/2)\/r)\/r)\/r))))**(-3\/8) assuming r is positive.\nAnswer: r**(2985\/3344)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21000 is divided by 239.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(1\/6)*k)\/k)**(-2\/179) assuming k is positive.\nAnswer: k**(-1\/537)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 30*a**2. Let p(y) = y + 6. Let v(w) = -1. Suppose 2*m - 3 + 15 = 0. Let i(f) = m*v(f) - p(f). Give l(i(s)).\nAnswer: 30*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + 5*x**2 + 17*x - 7. What is the lowest common multiple of n(7) and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from aeeeafeaefeeeeaa?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/3 - (-3)\/9. Let f = 240 - 239. Let u = -0.2 - -0.7. Which is the third smallest value? (a) f (b) x (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1 + 31?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1168367.469 and 0.2.\nAnswer: -1168367.269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -802, -837, -890, -973, -1098, -1277, -1522?\n\"Answer: -2*i**3 + 3*i**2 - 30*i - 773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*b + 104*b - 5148 = -70*b for b.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 2*l - 510 = 0. Is l a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/25)\/m*m)\/(m**(3\/2)\/m))\/((m*m**0\/m*m)\/m)**(34\/3) assuming m is positive.\nAnswer: m**(-21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 25.1? (a) -5 (b) -81331 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d + 5*o - 210, 9 = 4*o + 1. Find the second derivative of 612*h**4 + 41*h**5 + h + d*h - 612*h**4 wrt h.\nAnswer: 820*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -30 and -53032\/1797 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**5*p - 22*a**4*p + 16*a**2*p + 18*a**2 - 2*p wrt a?\nAnswer: 60*a**2*p - 528*a*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 11319 and 588?\nAnswer: 45276","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + 11\/((-330)\/260) + 9. Let r(i) be the first derivative of -8*i + h*i**3 - 2*i**2 + 39. Factor r(w).\nAnswer: 4*(w - 2)*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 262736208 to the power of 1\/3, to the nearest integer?\nAnswer: 640","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 1138*q + 1136*q - 18 = 0, 25 = -0*d + 3*d - 2*q + 9 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 14 + 6. Suppose -2*v = -q + 2, -q - 18*v = -14*v - 8. Calculate the remainder when 28 is divided by (3\/q - (-6)\/(-24))*f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 22211 - 11?\nAnswer: 22200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1772 and 28320.\nAnswer: 12545760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9 + -5. Suppose 75 = -i*y - 2*o + 401, 5*y - 412 = -4*o. What is the greatest common divisor of y and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*q - q + 0*q)*(-q + 3*q + 0*q) - 2*q**2 - 2*q**2 + 3*q**2 - q**2 - 2*q**2 + q**2 + (-5*q + 3*q + q)*(0*q + 4*q - 2*q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 163471 divided by 3405?\nAnswer: 163471\/3405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 1.0007 + -408523\nAnswer: -408521.9993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 201\/28 + -52\/7. What is the nearest to -1\/4 in m, -6, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.4 + 13.6. Let w = 12.84 + v. Round w to 1 dp.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 46.235 + -46.035. Let b(r) = -r**2 + 3*r + 3. Let z be b(4). What is the nearest to -2 in z, p, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 41610195?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10832 = -22*a - 7406. Let q = a + 896. What is the remainder when q is divided by 24?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -118 + 123. Suppose 0 = -2*f - 4 - 0. Let u = f + x. Solve -2*o + 5 = u*w, -3*w + 5*w - 2*o = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of -q**8\/16 + 13*q**4\/12 + 19*q**2\/2 + 28. Let x(h) be the second derivative of v(h). Find the second derivative of x(t) wrt t.\nAnswer: -420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(363) + 1 + sqrt(363))*-3)**2.\nAnswer: 396*sqrt(3) + 13077","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 19\/2266 and -32\/495.\nAnswer: 101970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.658789157 and 70.188.\nAnswer: 69.529210843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 6. Let h(d) = -d**3 - 5*d**2 - 2*d - 4. Calculate the remainder when 51*(1*-2)\/(-6) is divided by h(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 2*x**2 + 3*x. Let y(j) = 37*j**2. Give b(y(a)).\nAnswer: 2738*a**4 + 111*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 10*w**2. Let o(n) = 15*n**2 + 2100 - 2100. Determine o(u(f)).\nAnswer: 1500*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(16 - 4) - 42\/(-9). Solve g + r = 2*n, g + 7 = 2*n + n for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*b + 17*b - 10*b)*(b**2 - 4 + 4) - 6*b**3 + 10*b**3 + 0*b**3 to the form r*b**3 + n*b**2 + t + w*b and give r.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/10 - (-132)\/90*3. Suppose 0 = 2*y - 3*t - 9, -y + t - 3 = -2*t. Suppose -l*x + 0*x = -y. Solve 0 = x*u - 2*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.6 times -0.206?\nAnswer: -2.1836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 1. Let f(v) = -3*v + 9. Let o(w) = -f(w) + 5*g(w). Let x be o(-3). Solve 3*q = 4*q + x for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-1\/2))**(-2\/85)*d*(d**1*d)\/d*d**7 assuming d is positive.\nAnswer: d**(762\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 22394253 + -313755167\/14. Let p be 1 + 0 + 16823\/(-1). Let c = n - p. Calculate the common denominator of c and -13\/22.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 1. Let v(k) = k. Let q(m) = t(m) + v(m). What is the least common multiple of q(2) and (28\/(-16))\/(1\/(-4))?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 8 + (-1)\/(2\/4). Solve n - o + t = 5, 4 = -5*n + 4*o for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 - -2) + 4 + -35 + 23.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Suppose -2*p = -6*p + 20. Suppose 0 = p*a - 25 - 20. Calculate the smallest common multiple of z and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3*sqrt(288))\/((-2*sqrt(6) + sqrt(6))*-6 + sqrt(6))*1 + -5.\nAnswer: -5 + 36*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 AM and 7:09 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 17081 - -2?\nAnswer: 17083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, 135, 3\/4, 11\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:36 PM and 12:16 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vjvd when four letters picked without replacement from vhdjvhhvkhhh?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 1. Let a(s) = -5*s + 1. Let y(q) = a(q) + 3*c(q). Let u be y(-7). Let w be (-1)\/6 - 22\/u. Is w less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 4*n - 32 = -2*x, 2*x - 48 = n. What is the greatest common factor of x and 286?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2 - 2 + 2*l. Let x be (-76)\/(-24) - 1\/6. Let u = -1 + x. Calculate k(u).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2291?\nAnswer: 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*j = -0*j - k - 6, -2*j - 683122 = 3*k - 683104 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 736139?\nAnswer: 853, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*b**2 - 4*b**2 + b**2 - 5*b**2 + 3*b**2 + 4*b**2 - 66*b**2 - 76*b**2 + 18*b**2 + (1 - 1 - 6*b)*(b + 0 + 0).\nAnswer: -129*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, d: 2, j: 4, k: 4, p: 5}. What is prob of sequence dn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (12\/(-2) - 0) + -2. Let d be (2\/(-4))\/((-1)\/h). Let x be (-7)\/d + 3\/12. Solve x = u + u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6635 + 689?\nAnswer: -5a57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 - 12*w**2 - 13*w + 2. Let q be t(13). Suppose j - 2*j + 13 = -4*f, q*f - 6 = 0. What is the remainder when 149 is divided by j?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -2 + 4. Suppose -s*v + 14 = 6. Let c(a) = a**3 - 3*a**2 - 4*a + 2. Calculate c(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-9)\/(-3))\/(3\/2). What is the second biggest value in 3\/5, -0.2, s, 0.1?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 235503897?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of u**3\/3 - 3*u**2 + 3*u + 29. Give f(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the third derivative of 9*q**7\/490 - 13*q**6\/56 + 113*q**5\/140 - 67*q**4\/56 + 5*q**3\/7 + 2*q**2 - 7. What is d in g(d) = 0?\nAnswer: 2\/9, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-10)*28500\/(-1140).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00668805506 rounded to 3 decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 23*x**2 - 3*x + 17. Suppose 5*m = 5, 0 = p + 2*m - m - 9. Suppose -32 + p = -4*l. Let i(g) = g - 3*g**2 + 0*g**2 - l - 5*g**2. Give 17*i(a) + 6*u(a).\nAnswer: 2*a**2 - a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) -4 (c) 3 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 3 = -0. Let o be 2*(54\/4 + q). Differentiate 13*h**4 + o*h**3 - 6 - 18*h**3 - 15*h**3 with respect to h.\nAnswer: 52*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*c - 263, c + 4*w - 14 - 29 = 0. Calculate the remainder when c is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**3\/3 + 2852*y**2 - 3053064*y + 18284176\/3.\nAnswer: -2*(y - 2138)**2*(y - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000794 to six decimal places.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-403)\/553 + 10\/35. Let l = p - -3387\/869. Let a = -1357\/20 - -413\/5. What is the common denominator of l and a?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**1)\/k*k*k**(-4)\/k*((((k*k*(k\/k**(1\/4))\/k*k)\/k)\/k)\/k)**(-4\/5))\/((k\/k**(1\/3))**(-5\/13))**(-47) assuming k is positive.\nAnswer: k**(-3286\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -9*z**3 - 3*z**2 + 23*z - 3. Let r(p) = 4*p**3 + p**2 - 11*p + 2. Let a(w) = 7*r(w) + 3*s(w). What is the least common multiple of 36 and a(5)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 678263 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of w**4\/2 + 2*w**3\/3 + w**2. Suppose j = 5, -4*d + 3*j - 30 = 13. Let m be o(d). Round m to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*0.84.\nAnswer: -0.084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 - 35*z + 97050. What is c(294)?\nAnswer: 324","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -436*x**5 - 2693*x**3 - 231998*x.\nAnswer: -8720*x**3 - 16158*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36 = -3*w + 15*c, 3*w + 535*c = 532*c - 18 for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**2 - 19722*x - 726976.\nAnswer: -2*(x + 37)*(x + 9824)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 6.78 + 0.1445913487\nAnswer: 6.9245913487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 564*g**2 - 338*g - 49. Is r(-13) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 717?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -139 - -129. Let h(q) = q + 15. Calculate the remainder when 29 is divided by h(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -212478, -210731, -207818, -203739, -198494?\nAnswer: -192083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*t + 201 = -429 + 25. Solve 52*l - t = 49*l + 2*c, -6 = -3*c for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 256 - -1843. Let o = 2962 - x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17046961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -6*k + 4. Let r be w(-6). Suppose -s + 14 = 4*f, 4*s - 5*f - 37 = r. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -15, -20, -39, -78, -143, -240, -375, -554?\n\"Answer: -h**3 - h**2 + 5*h - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 3*v**3 + 2145*v**2 - 4289*v. Determine c(2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56300 and 300.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 1968114699?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 553823 is divided by 2145?\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 54 - 34*x**2 - 56 + 3*x - 3*x.\nAnswer: -34*x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 656 and 669366?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 + 1089\/5. Which is the third biggest value? (a) 1 (b) -3\/4 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - -1 - ((-160)\/(-56))\/(178\/(-5607)).\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by 57427.\nAnswer: -15\/57427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322.\nAnswer: 2, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 10*t. Suppose 54 = 7*k + 40. Let i(r) = 206*r**2 - 63*r**2 - 70*r**2 - 71*r**k. What is i(a(h))?\nAnswer: 200*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 66 = 4. Let l = q - -17. Solve 4*n = -s + 4, l*s + 5*n = 5*s + 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9656)\/2272*28\/(-102).\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the first derivative of 7*f**3\/3 + 9. Let h(u) = 2*u**2 + u - u. Determine j(h(t)).\nAnswer: 28*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -53, 5, -1, 18, -671.\nAnswer: -671, -53, -1, 0, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:16 AM and 10:28 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4.177 + 0.077. Let i = d + 4. Let h = -30 + 31. Which is the second smallest value? (a) -0.04 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(4*((sqrt(75) + (sqrt(75) - (sqrt(75) + sqrt(75) + -1)) + sqrt(75))*-4 - -1*(sqrt(75) - (sqrt(75) - (sqrt(75) + 3)))))**2*2 + 5.\nAnswer: -86523 - 3840*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 + 114 = -38*l - 309 for l.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j. Let r(o) = -442*o**2 - 79*o - 2. Determine r(q(g)).\nAnswer: -442*g**2 + 79*g - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -18 + 8 + 2\/3. Let p = -9 - f. Solve -2\/3*y - p*y**2 - 1\/3 = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/11 - 3*11\/(-4961)*(-788)\/24?\nAnswer: -3\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*x**2 + 91*x**2 + 3*x - 3*x - x.\nAnswer: 30*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 7*d**2 + 3*d - 30. Calculate b(-7).\nAnswer: 292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 + 15. Suppose u*v = 4, 2*v - 2 = -5*c + 20. Factor -28*n**4 + 30*n**5 + 37*n**5 + c*n**3 - 18*n**5.\nAnswer: n**3*(7*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 637740 = -4*h, 4*h - 333850 + 971566 = -3*z. Let y = -471568 + h. What is y rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2*x**3 - 8*x**2 + 9*x - 8. Let v be a(6). Let c be 2 - (2 - v*1). Suppose -3*i = -8*i + c. Is 15 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12302227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8402 + 109*n - 8402)*(-2 + 0 + 0)*(-2*n**3 + n**3 + 0*n**3).\nAnswer: 218*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -195 - -294. What is the highest common factor of h and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6 - 13*y + 12 + 19*y wrt y.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.6 - -0.134748756.\nAnswer: -0.465251244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**3 + 23*t**2 - 44*t + 40. Let z be f(21). Let l(s) = 3*s - 7. Let h be l(6). Let j = -7 + h. Put z, j, 5 in ascending order.\nAnswer: z, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 25*g - 54. Let w be k(6). List the prime factors of (w\/10)\/((-4)\/(280\/(-3))).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 9*g = -481*q + 2509, 2*q + 48 = -2*g + 6 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -2, -39, -5, -14 in increasing order.\nAnswer: -39, -14, -5, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is (-6 - -12)*(-191)\/(-2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of 0 - 1\/130*m**5 - 91*m - 3\/13*m**4 + 200\/13*m**2 - 20\/13*m**3. Solve y(c) = 0.\nAnswer: -10, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -707 divided by 1085141\nAnswer: -707\/1085141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 2263 + -2?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8 + 4*v**3 + 11.\nAnswer: 4*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -212232021302?\nAnswer: -212232021233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z**2 - 5*z - 1. Let q be u(-2). Let m be 3*(2\/6 - 8\/(-24)). Let g be (-10)\/7*(-7)\/(-1 + m). Solve r + g = 5*n - 6, q*r - n = 16 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*w - 139*w + 31584 = 0. Calculate the remainder when 1\/(0 - 2\/(-186)) is divided by w.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -56 divided by -6\nAnswer: 28\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -211?\nAnswer: -202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4196 and 78675.\nAnswer: 1049","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 96132*h + h**2 - 96132*h.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133911257 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -2*t. Let s(g) = -268*g + 133*g - 64 + 139*g. Calculate s(b(h)).\nAnswer: -8*h - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*c - 7*c + 76. What is the least common multiple of c and 8?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000658 to 5 decimal places.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 11*g**3\/6 + 12*g. Let u(a) = a**2. Determine v(u(x)).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 164541, 0, -1, 3, -3, 6 in descending order.\nAnswer: 164541, 6, 3, 0, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or -3976?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1693*a**5 + 12*a**3*h**3 + 624248*a**2*h**3 + a**2*h wrt a?\nAnswer: 101580*a**2 + 72*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/(s*s**(1\/3))*s)**11*(s\/s**(1\/6))\/s**(-8))\/(((s**2*s)\/s**2)\/((s*(s**5*s)\/s)\/s**(-1\/9))) assuming s is positive.\nAnswer: s**(581\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.42518 to 3 decimal places.\nAnswer: -0.425","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 89.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9584604 is divided by 584.\nAnswer: 580","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (55\/10 + -5)\/(((-42)\/(-228))\/7). Solve 18*c + 107 = -r for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:15 AM and 11:45 AM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33346 + -17223. Is 23 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilogram in grams?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 558 (base 15) in base 5?\nAnswer: 14313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r + 660024 + 539976. What is r rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w + 1. Let t(q) = 6*q + 2. Let n = 55 + -25. Suppose 0 = -2*u - 12 + n. Suppose 2*i + u = 11. Give i*t(l) - 4*y(l).\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a microgram in nanograms?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (5 - 228361\/(-21))*(-15)\/(-10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-29)\/21 - 254\/889?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 392292 a multiple of 1054?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -59. Suppose -3*a - 15 = 0, -5*a - 49 = -2*s - s. Suppose 4*m = -b + s, -2*m = -0*m - b - 10. Solve 4*r = -5*v + h, m*r - 5*v + 9 = 3 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 549, 523, 499, 477, 457?\n\"Answer: a**2 - 29*a + 577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2419, 4906, 7393, 9880, 12367, 14854?\nAnswer: 17341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 97246846?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1950*o**3 - 124 wrt o.\nAnswer: 5850*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n - 23 = -5*g - 6, 5*g + 2*n - 26 = 0 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1102 or -1476?\nAnswer: 1102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((93852\/79)\/(-66))\/(-2*(-3)\/6).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = -5*i + f + 41, i + 3*f = 21. Solve 38 = -i*d + 11 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -196, -385, -698, -1177, -1864?\nAnswer: -2801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3. Let t(x) = 15*x**3 - 3*x**2 + x - 5. Let s(o) = 4*f(o) - t(o). Let d be s(5). What is d rounded to the nearest 100?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/5 - 31\/105) + (-2720)\/46410?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6872, -6804, -6736?\n\"Answer: 68*a - 6940","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + (8\/(-2) - -4). Suppose -5*t + 6*t - a = 0. Suppose 4*u - z = t, 7*u - 2*u - 5*z = -15. Solve 37 - u = -4*f + 3*v, -3*f + 4*v = 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -521 = -21*w + n + n, -69 = -3*w + 8*n - 5*n for w.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**2 + 0*u + 0*u)*(2 - 2*u - 2) + 2 + 2*u**3 - 2 + u**3 + 2*u - 2*u + u**3 - 2*u**3 + 5*u**3 + (-2*u**3 - u**3 + 2*u**3)*(-3 + 0 + 1).\nAnswer: 11*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 - 48*c - 3544. What is the remainder when p(89) is divided by 79\/9 - 4\/(-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1 and 0.0495.\nAnswer: 0.0495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is w in 104212*w**4 + 4272688*w**3 + 21884356*w**2 - 840*w = 0?\nAnswer: -35, -6, 0, 1\/26053","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -18 + 22. Suppose 9*a = b*a + 5. Does 4 divide 9 + -11 - (a - 11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 - m + 4. Let a(w) = -w**2 + 3*w + 6. Let i be a(0). Does 34 divide r(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -28, 1059, 5 in decreasing order.\nAnswer: 1059, 5, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.185? (a) 5 (b) -4\/9 (c) 1\/5 (d) 2983 (e) 2 (f) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 + 2. Suppose m = -5*k + 194 + 26. What is the remainder when k is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 727*c + 66919. Determine f(108).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18156 is divided by 117.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1711908 - -6?\nAnswer: 1711912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6*u**3 - 5*u**2 - 34631*u + 4348053.\nAnswer: 18*u**2 - 10*u - 34631","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 12:54 PM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + (-3 - -4) + 1 + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 555 is divided by 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/9))**18 assuming l is positive.\nAnswer: l**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-188))\/((-5899)\/(-16309))?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 67866 - -3.652.\nAnswer: 67869.652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 5*u = -u. Suppose u = -8*f - 108 + 764. Is f a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 1074.8601 milliseconds?\nAnswer: 0.00029857225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(-3))**35*(m\/m**(1\/5))**(-14) assuming m is positive.\nAnswer: m**(644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 72 - 42. Suppose -a - r = -3*a. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {c: 1, v: 3, o: 4, a: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + a + 2 - a - 2*a + 2*a + (a - 4 + 4)*(4 + 2 - 4))*(-7*a + 2*a + 2*a) to k + d*a + s*a**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*n - 8*n - 4*n)*(3*n - 3 + 7 - 3).\nAnswer: -15*n**2 - 5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -245 - -242. Let u be 2 + -7 + 2 + m + 6. Factor 0*o - 20\/3*o**2 - 4\/3*o**4 + 8*o**3 + u.\nAnswer: -4*o**2*(o - 5)*(o - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**5 - 1326*g**4 + 5338*g**3 + 1326*g**2 - 5336*g = 0. What is g?\nAnswer: -667, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 3, d: 3, m: 2}. Give prob of sequence hh.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**3*s**3 - 12*k**3*s - 14*k**2*s - 43*k*s**3 + k*s**2 - 2 wrt s?\nAnswer: -12*k**3*s - 258*k*s + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -15*u + 36. Let n(q) = -14*q + 42. Let x(h) = -6*n(h) + 7*y(h). Let d(m) = 8*m. Determine d(x(l)).\nAnswer: -168*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 39.3 bigger than -2\/9821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 5*m + 2. Calculate p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 10 = -2*z. Suppose -z*y - 20 = 2*y, 75 = 3*j - 3*y. Let k be 8\/(-20) + (-2)\/j. Which is the closest to -0.1? (a) -0.4 (b) 0.7 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1872434831 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9854978, -9854990, -9855002, -9855014?\nAnswer: -9855026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6 - -21. Suppose 0*w + v = 3*w. Suppose 0 = -2*y - 3*y + 25. Solve w*p - 4 - 1 = 3*x, -3*x + y = 5*p for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -53.57 (b) -2\/5 (c) 1 (d) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 34*l**2 - 4*l + 1. Let d be k(-3). Suppose b - y = -b + d, 2*y + 797 = 5*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -6*s - 1. Suppose 0*r = 4*r - 36. Suppose 0*f - r = 3*f. Does 17 divide p(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - f = -49, -5*u - 15*f + 61 = -11*f. What is the highest common factor of u and 144?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 26 - 14. List the prime factors of (-30)\/a*(-32)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4104 (base 6) to base 15\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 10*k**2 - 18*k + 13. Suppose -6*s + 5*s + 5*i + 17 = 0, -5*s + 2*i = -62. Is c(s) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3837049 is divided by 716?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -254 + 281. Suppose 0 = 75*u - 52*u. Sort j, 5, u.\nAnswer: u, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a gram in milligrams?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -289089, -289128, -289159, -289176, -289173?\nAnswer: -289144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 14*c**2 + 298*c - 5620. Give h(11).\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w**2 + 4*w**2 + 2 - 10*w**2)*((0 + 0 + w)*(-4 + 4 - 2*w) - w**2 - 1 + 1).\nAnswer: 6*w**4 - 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, 2\/5, 3\/8, 3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0 and 6500.2375035.\nAnswer: 6500.2375035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 27 + 57 = 0. Let p be (-6)\/(-21) - 114\/a. Find u, given that -4\/5*u - 42\/5*u**p + 26\/5*u**2 + 0 = 0.\nAnswer: 0, 2\/7, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 172 is divided by 52.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b - 59159*b**2 - 102338*b**2 + 5 - b.\nAnswer: -161497*b**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.19 - -0.2. Let y = -0.31 + p. Let a(m) = 2*m**2 - 1. Let j be a(1). Sort y, j, -3 in ascending order.\nAnswer: -3, y, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -87, -132?\nAnswer: -177","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y - 265 - 71 + 146 + 2*y**2 + 0*y - 24*y.\nAnswer: 2*(y - 19)*(y + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7.85884 and 0.\nAnswer: -7.85884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -3*q - 3*i, 4*q - 2*i - 77 = -91. Sort q, 2, 4, -1, 7 in increasing order.\nAnswer: q, -1, 2, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 355*n**3 - 7*n**2 + 14*n + 2. Is s(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2 + 54*z - 260. Let r be f(5). Calculate the greatest common divisor of r and 2345.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128374079 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**3 - t**2 - t + 1. Let l(v) = -7*v**3 + 4*v**2 + 4*v + 13. Calculate l(r) + 4*o(r).\nAnswer: r**3 + 17","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 914193100 rounded to the nearest 1000000?\nAnswer: 914000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 17*w**2 + 3. Let k be t(-17). Let i(n) = 2*n - 4 + 0*n**2 - n**2 - n**2 + 0*n. Give i(k).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (0 - -4 - (2 - 2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.4 + 7.9. Which is the smallest value? (a) x (b) -2\/15 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/3, 0.1, 1\/18, 35\/6 in decreasing order.\nAnswer: 35\/6, 5\/3, 0.1, 1\/18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -59 = 6*t - 89. Let j(w) = w**3 - w**2 + w. Let n(q) = 3*q**3 + 2*q**2 + 8*q - 3. Let a(g) = 5*j(g) - n(g). List the prime factors of a(t).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 79, 303, 661, 1141, 1731, 2419?\n\"Answer: -2*u**3 + 79*u**2 + u + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of -j**5\/20 - 7*j**4\/6 - 4*j**3 + 3*j**2\/2 - 39*j. Let t be w(-12). Solve 5*k - 2*o + 19 = 0, t*o = -5*k - 6 - 3 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a second in milliseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**12*p*p**7*p**(-1\/16)*p*p*p*p**(-4\/7) assuming p is positive.\nAnswer: p**(2505\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -9*v**2 - 2*v. Let x(p) = 90*p**2 + 21*p. Let u(m) = 21*t(m) + 2*x(m). Let l(c) = c. Give u(l(o)).\nAnswer: -9*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 273\/91*((-94)\/(-6) + 0). Let u = l - 895\/19. Which is the closest to 0? (a) u (b) -4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 0.6. Let p = 0.05 - 0.55. Let h = d - p. Does 2 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - 1) + -6 + 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j**3*o + 52*j**3 + 33565*j**2*o - 1203*j*o - 14*j + 19*o - 1 wrt j.\nAnswer: 12*j*o + 312*j + 67130*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/3 - 38\/(-6). Let d be (-18)\/((-8)\/(-12)*9\/(-3)). Suppose d*k - g*k = 1017. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/990)\/(4\/(-36)*-1)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 1 = -2*n, 3*n + 199*m = 195*m - 26 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77*x + 54 = -59*x. Solve 2*f = -5*z + 14, 21 = -f + x*z + 6 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 15*x**2 - 88*x + 1439. List the prime factors of p(27).\nAnswer: 2, 4999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -8*x + 51. Let m be s(6). Let h be 3\/(-9)*-21 - m. Put 2, 10, h in decreasing order.\nAnswer: 10, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 192 and 912.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/2*12\/3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(3))*-6 + sqrt(3) + sqrt(3) + -2 - (sqrt(726) - ((sqrt(726) - sqrt(726)*2) + sqrt(726)))\/sqrt(2))**2.\nAnswer: 240*sqrt(3) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 9, -9590 in ascending order.\nAnswer: -9590, 9, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*w + 14 = 29*w for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 156334*i - 156434*i - 227*i**2 + 222*i**2.\nAnswer: -5*i**2 - 100*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 e when three letters picked without replacement from {i: 2, e: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1\/11 (b) 0.2 (c) 30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 + -1. Let c be (-1 + -32)*(-50)\/550. Solve -a = k - n, -12 = -c*k + k - a for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*a**5*z**2 - 27*a**5*z + 23215*a*z**2 wrt a?\nAnswer: -2860*a**3*z**2 - 540*a**3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -21133130310 - 11?\nAnswer: -21133130321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o = -64 - 144. Is o at least 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 704 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 12404741 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -477*u**2. Let z(h) = -254344*h**2. Determine z(d(i)).\nAnswer: -57870635976*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4040 (base 10) to base 16.\nAnswer: -fc8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.93 + -0.07. Let h = c + 2.9. Let u = -2.6 + 5.6. What is the second smallest value in h, 5, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-250)\/(-20))\/((-10)\/(-2)) + 533148\/24 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xlxx when four letters picked without replacement from {x: 5, l: 5}?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -41 - 314154?\nAnswer: -314235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8125 + 0?\nAnswer: 8125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q + 6. Let h(x) = -x + 1. Let m(w) = f(w) - 3*h(w). Let d(o) = 2*o**3. Let c be d(1). What is the remainder when m(c) is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 7:45 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4994, -9998, -15002, -20006, -25010?\nAnswer: -30014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 19 = o, 0 = -o + 3*m - 4 - 5 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5247 divided by -2?\nAnswer: 5247\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = -b + 3049974. Let m = b + 3075013. What is m rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126832048\/344133 - 9\/38237. Let t = g + 369. Factor 2\/9*b + 0 + 2\/9*b**3 - t*b**2.\nAnswer: 2*b*(b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-5)\/(x**(1\/2)\/x))\/(x\/(x**(-3)*x)*x*x*x*(x**(-2\/13)\/x)\/x) assuming x is positive.\nAnswer: x**(-217\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*2*(-1 + -6*(5 + ((sqrt(605) + -2)*-1 - sqrt(605)))*-1))**2.\nAnswer: -692736*sqrt(5) + 5683264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -468 - -472. Sort -5, n, 5, -1 in decreasing order.\nAnswer: 5, n, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 834542 is divided by 9818.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -35 + -30. Let q = 82 + t. Suppose 12*g - q - 31 = 0. Calculate the highest common factor of g and 68.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36 + 6 + -31 + -22.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 4 = -0. Suppose -j*m = -3*m - 2. Suppose 7*b = m*b + 95. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 2*j = -64 + 462, 5*b = -4*j + 678. Let m = -119 + b. Suppose -m = -2*d + 293. List the prime factors of d.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 - (-9 - (11 - (15 - 0)))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11.2, 3\/8, -3\/4, -265, -2?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 552 minutes before 5:52 PM?\nAnswer: 8:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(2673) - (-1*sqrt(2673) - sqrt(2673))))\/(-2*sqrt(75) - ((sqrt(3) - (2*sqrt(18))\/sqrt(6)) + sqrt(3))).\nAnswer: 243*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 2914, 3984, 5054, 6124, 7194?\n\"Answer: 1070*p + 1844","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*f - 874 = -61 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 27 - 26.5. Let w = -16.8 - -17. Put f, w, 2\/7, 3 in ascending order.\nAnswer: w, 2\/7, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4623 divide 399001884?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9*a - 100. Suppose -4*d - 3*v + a = 0, -1 + 7 = 2*v. Calculate the smallest common multiple of 11\/3 - 1\/(-3) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*b - 436*b**3 + 5 - 75*b**3 - 5.\nAnswer: -511*b**3 + 22*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 3 + 9*b**2 + b**3 - 5 - 10*b + 1 + 2. What are the prime factors of j(-9)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/(-1 + 5\/2). Let s = -36 + 79. Suppose 0 = 4*z + 5*r - s, -12 = -z - r - j. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zogogwwowuwwoswzsz. Give prob of picking 1 z, 2 w, and 1 s.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -8864.6952 to the nearest one thousand.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 10. Let q = 30 + i. Solve 6 = -q*m + 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 + 1 - -2) + 8 + (-28 - -66).\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 12*m = 8*m - 11, 4*r = -5*m + 23. Suppose r*x - 7713 = -2*x. What is the hundreds digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -87664, -87450, -86874, -85756, -83916, -81174, -77350, -72264?\nAnswer: -65736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -9*y - 15*y - 9*y + 20*y - 12*y + 2. Let s(j) = -14*j. Calculate o(s(a)).\nAnswer: 350*a + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes after 8:32 AM?\nAnswer: 11:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 132388.176 rounded to the nearest ten thousand?\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add -684.32974 and -5180.\nAnswer: -5864.32974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -48 - -50. What is the third derivative of 4*w**h - 1078*w**3 + 1078*w**3 + 7*w**5 wrt w?\nAnswer: 420*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52666*r**2 - 4*r + 3703673.\nAnswer: 105332*r - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 450*l**2. Let i(k) = -k**2. Give s(i(u)).\nAnswer: 450*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes after 4:48 PM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 130040?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 3*a - 22 + 2 = 0, -4*o + 5*a = -16. Let n(v) = 2*v**3 - 6*v**2 + 6*v - 5. Is n(o) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-4)\/(-12))\/(-9).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2240)\/(-1344)*78\/(-5))\/((9\/6)\/3)?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 10656 (base 8) in base 10?\nAnswer: 4526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p\/((p\/(p**(-1\/18)\/p))\/p*p))\/p)\/p)\/p*p**(-14))**30 assuming p is positive.\nAnswer: p**(-1625\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-9 - -15 - -1) + -8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -41, -37, -19, 19, 83?\nAnswer: 179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of 3*f**7\/70 + f**3\/3 - 18*f**2. Find the first derivative of x(z) wrt z.\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.3 - -0.3. Let u = -0.84 + 0.8. Let f = u + 0.44. What is the third smallest value in p, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -23*j + 5. Let l be b(-3). Suppose 3*v + 326 = 2*d + 2*d, d + 3*v = l. What is the greatest common divisor of d and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -295536371, -295536368, -295536365, -295536362?\n\"Answer: 3*v - 295536374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 247472.\nAnswer: 1237360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.861191cm in millimeters?\nAnswer: 38.61191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37\/2 - 19. Let d be (-10)\/(-55) + (340\/308 - 1). What is the nearest to n in -3\/2, d, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 714 and 151478262?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gtgk when four letters picked without replacement from tktgkggtnkkgkzl.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out 135 + 0.61009557015.\nAnswer: 135.61009557015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 1642797 - 16880*d - 12765*d - 1642798 as b + y*d and give y.\nAnswer: -29645","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12396, 15802, 19206, 22608, 26008, 29406, 32802?\nAnswer: 36196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 - 6*r**2 + 4*r**2 + 6 + 3*r**2. Let k(c) = -2*c**2. Determine g(k(b)).\nAnswer: 8*b**4 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/4 (b) 1\/4 (c) -1670675\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-19)\/(-133)*211 + -4*(-2)\/(-7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 9*n - 1. Suppose -o + 279 = 2*a, 0 = 16*a - 63*o + 61*o - 2162. What is the remainder when a is divided by w(4)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:57 AM and 7:24 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3996*p**2 - 13 + 13.\nAnswer: 3996*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (7\/2)\/(1267\/1086).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -52742698*q**2. Let g(b) = -b**2. What is g(s(v))?\nAnswer: -2781792192319204*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (64 - 12*f - 64)*(2 + 4 - 4).\nAnswer: -24*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(70)*-2*-3 + sqrt(70))\/sqrt(10))**2 + -1 - 2*(sqrt(700) - (2 + 2*sqrt(700))))*-2.\nAnswer: -692 - 40*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1871 and 1.1.\nAnswer: -2058.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 286 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 467090 to the power of 1\/4, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -24, -72, -140, -228, -336, -464?\nAnswer: -612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -7*f**2 - 4*f - 8. Let h be ((-5)\/(-2))\/(15\/12). Let l(a) = -a**h - 4*a**2 - 3*a**2 - 5*a - 45 + 36. Calculate -7*c(z) + 6*l(z).\nAnswer: z**2 - 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 6*g**2 - 3*g + 9. Let r(c) = -4*c**3 + 12*c**2 + 5*c - 18. Let t(k) = 5*h(k) + 2*r(k). What is the units digit of t(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -17 + 20. Suppose o + f*c = 2 + 13, -o + 2*c - 5 = 0. Solve o*s + 2 = 14 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -g**3 + 5*g**2 + 5*g + 8. Let q be u(6). Suppose -k = -q*d + 6, 2*d = 4*d - 4. Let p be -2 - k*1 - -15. Solve -4*y + p = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1121828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 9:48 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**15\/m**(5\/7))\/(((m\/m**(-1)*m)\/m)\/(m*(m*m*m**15*m*m)\/m)) assuming m is positive.\nAnswer: m**(219\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - -2 - (-2 - (-4 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 36, 5, -2.56?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ml when two letters picked without replacement from {e: 6, l: 1, m: 12}?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1755 - 2090. Suppose -4*n + 8*n - 39380 = 0. Let g = n + o. Round g to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**2 + 6*g - 1. Let k(f) = 3485*f**2 + 7380*f - 1230. Calculate 1230*a(h) - k(h).\nAnswer: -1025*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 4*m**3 - 584136*m**2 + 21328265508*m - 170588741408 = 0.\nAnswer: 8, 73013","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -180 + 1437\/8. What is the common denominator of -13\/10 and u?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, v: 2, x: 1, y: 1, l: 1, b: 4}. Give prob of sequence vbxn.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 9 + 3)*(6*p**3 - 5*p**3 + 11*p**2 - 38*p**2).\nAnswer: -10*p**3 + 270*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 660*w - 14190 = -127*w - 159*w for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (f**4 + 4*f**4 - 4*f**4 + 9*f)*(1 - 2 + 0) - 3 + 2*f**4 + 3 to the form q*f**2 + m*f**3 + p*f + t*f**4 + r and give p.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1356 and 168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2871991\/70 + 149539\/5. Let c = o + 11113. Calculate the common denominator of c and 8\/(-12) - 137\/(-18).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**3 + 10*i**2 + 2*i + 13. What is the tens digit of w(8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (3 + 5 + sqrt(605)*-2 + -3 + sqrt(605))*4)**2.\nAnswer: -1848*sqrt(5) + 10121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(0 + 1 + -1*(sqrt(833) + sqrt(833) + -2 + -5 - sqrt(833) - sqrt(833) - sqrt(833))*2))**2 + 2.\nAnswer: 15120*sqrt(17) + 128054","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 519247 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the first derivative of 98 + 18\/5*q**3 + 26\/5*q**2 + 0*q + 1\/10*q**4. Factor m(o).\nAnswer: 2*o*(o + 1)*(o + 26)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 21751*k + 130499. Give l(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i + 2810*v + 2812*v + 66 = 5606*v, -5*i + 198 = -7*v for i.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*t + 81 + 39. Which is bigger: t or -57\/8?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -302 + 304. Suppose -p + 10 - 1 = -f*r, -2*r = 4*p + 4. Put -5, 3, r in descending order.\nAnswer: 3, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-4)\/18 - 4248\/(-891) and 74\/(-26) - 2 - -1.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.09 - 2.19. Which is the second smallest value? (a) 3\/2 (b) m (c) 28 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4710*p + 1266*p - 2706*p to j + k*p and give k.\nAnswer: -6150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = 99*w**2 - w - 1. Let p be a(-1). Suppose -17*h + 14*h = -p. What is the remainder when h is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 8 - 4 - a**3 - 2*a**2 + a + 7*a**2 to the form p*a**2 + y*a**3 + v*a + n and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that -5*h**5 - 3415*h**4 - 69570*h**3 - 38860*h**2 + 570520*h + 794400 = 0.\nAnswer: -662, -20, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4829 and 82772337075.\nAnswer: 82772341904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 3*n + 22. Let b be f(-6). Let o = 3.715 + -3.8. Let t = o - 1.315. Sort b, t, -5 in ascending order.\nAnswer: -5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 690 minutes after 5:11 PM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*f + 8 = 5*a, 3*f = -a - 5. Let i be a\/1 - (11 - 1). What is the tens digit of 3\/i - (-149)\/(-4)*-2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o**3 + 350*o**2 + 715*o + 360 = 0. What is o?\nAnswer: -1, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40326 (base 7) to base 4.\nAnswer: -2120223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, v: 1, g: 3, a: 3, t: 1, p: 2}. What is prob of sequence sas?\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 196\/16059 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 3*c**3 + 265*c**2 - 3502*c - 193. Give d(-100).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -102 - 12*s + 5 - 23 - 91 to the form a*s + b and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2456, 5321, 7920, 10253, 12320?\n\"Answer: -133*t**2 + 3264*t - 675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4413 is divided by 44?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*a**3*y + 133270*a**3 - 25819*y + 15 wrt a?\nAnswer: 18*a**2*y + 399810*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u**2 - 96240*u + 96243 = 0 for u.\nAnswer: -32081, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 4604317 divided by 1163\nAnswer: 3959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -7*v**2 + 68*v - 68. Calculate y(12).\nAnswer: -260","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6 or -3667\/33?\nAnswer: -3667\/33","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*2*(sqrt(76) + (sqrt(76) - (2*(sqrt(76) + -2*sqrt(76)) - sqrt(76)))))\/((sqrt(288)\/sqrt(8))\/sqrt(9) - (sqrt(4) - sqrt(1728)\/sqrt(12))).\nAnswer: 5*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-5)\/((-10)\/12) + 0. Suppose 25 = g - a*g, 59 = 4*q + g. Suppose 0*v + 4*v = q, 5*v + 1780 = 2*u. What is u rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * -621.07.\nAnswer: -621.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 350.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - -40 - 15 - 25?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 2*t**3 - 65*t**2 + 93*t + 9. Calculate r(31).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -2*l - 1997. Let t(y) = -y**2 - 7. Determine j(t(p)).\nAnswer: 2*p**2 - 1983","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 256.57 + -258.57. Let d = 0.02 + 2.98. What is the third biggest value in q, -37, d?\nAnswer: -37","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.078, -286341, 5.\nAnswer: -286341, -0.078, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 16*y**2 - 28*y - 29. Let o be p(-1). Solve -o = -5*n - 4*i - 4, -5*n - 2*i = -3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n**4 - 1028*n**3 + 13630*n**2 - 37944*n = 0. What is n?\nAnswer: -527, 0, 4, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -502\/426697 or 1?\nAnswer: -502\/426697","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 PM and 1:24 AM?\nAnswer: 627","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70790?\nAnswer: 2, 5, 7079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 453 + 0?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15055 + 103?\nAnswer: -14552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55 + 39. Let m = -1\/268 + 557\/5628. Sort -0.1, l, -5, m in increasing order.\nAnswer: l, -5, -0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -189577, -189570, -189557, -189538, -189513, -189482?\n\"Answer: 3*h**2 - 2*h - 189578","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is bb9 - -112ee?\nAnswer: 11eb8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 91334 and 0.2.\nAnswer: 91334.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 minus 5325?\nAnswer: -5325.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 18\/5 (b) 0 (c) 1\/3 (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2 = 0, 3*l - 766*t - 6 = -763*t for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 44570 - 4*k**3 - 29*k + 3*k**3 - 38*k - 44570 + 7*k**2 to the form u*k**3 + c*k + m + p*k**2 and give p.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand x**2 - x**2 - 2*x**2 + (-2*x + 0*x + 0*x + 2*x + 0 + 0 + (-x + 0*x + 2*x)*(-3 - 2 + 6) + 3*x - 2*x + x)*(-2*x - x + x).\nAnswer: -8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away 1942263236829?\nAnswer: -1942263236828.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 + 11 = -3*o + 3*i, 4*i = -2*o - 2 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 588 and 398370?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 22 = y + 14, 4*y + 3*f - 23 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56*j*l**2 + 9618733*j + 9732*l wrt l?\nAnswer: -112*j*l + 9732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - x + 5*x = 95, 0 = j + 2*x - 31. Find the first derivative of -20 - 19*t - j*t - 23 - 12*t wrt t.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1408163384.\nAnswer: 2, 59, 2983397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**2. Let g(b) = -9*b**2 - 3*b + 7. Let h(n) = -6*a(n) - g(n). Is h(6) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and 1313.4797.\nAnswer: 13.134797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 10 and 980.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-528)\/(-20) + 2\/(-5). Suppose b = -h + 6. Let d = 34 + h. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(0 - (-4)\/8). List the prime factors of (-88)\/g + (3 - 4).\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 - 4*a**2 - 7*a + 3. Let c(b) = 3*b**3 + 5*b**2 + 8*b - 4. Let l(s) = -4*c(s) - 5*t(s). Let k(z) = z**3 + z + 1. Calculate -k(y) + l(y).\nAnswer: -3*y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 3*v**2 - 3*v - 23. Suppose u + 5 + 2 = 0. Let n be d(u). Suppose -30 = w - n. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:48 AM and 12:33 PM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -464.80313 rounded to zero dps?\nAnswer: -465","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 14 = 16 - 31 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2904?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567)*-2 + sqrt(63) + sqrt(126)\/(sqrt(18)\/sqrt(9)) + sqrt(63))\/(sqrt(225)*-3 + sqrt(81)*-2 + sqrt(81)).\nAnswer: sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t**3 + 3*t**3 - 2*t**3 + 5*t + t**3 - 5*t + (1 + t - 1)*(t - t - 2*t**2) + t + 5*t**3 - t)*(-1 - t**2 - 2 + 0*t**2).\nAnswer: -6*t**5 - 18*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.4, 1.3, -1\/82, -0.2, -1\/7?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**2 - 19*h + 19*h.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 24 = -2*b, b + 10 = -5*x - 0 + 30 - 8 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 + 4 + (-235)\/(-4). Let p = 61 - l. Is 1\/2 bigger than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 1, -2, -5, -8857?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/(112\/12)*40\/6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 68, 1, -9, -5 in descending order.\nAnswer: 68, 1, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -3, 2\/17, 0, 3, 2.43?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -c82b2 - 5?\nAnswer: -c82b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16981243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76009 is divided by 18988?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 462641 is divided by 2445?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1350 is divided by 1019?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v. Let x(k) = -58*k - 13. Let w be (-2)\/(-2) + (18 - 20). Let i(m) = w*x(m) + 3*s(m). Is i(6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18 + -9. Let i(k) = -k**2 + 1. Let s(b) = 4*b**2 - 13*b + 11. Let x(t) = -3*i(t) - s(t). Calculate the remainder when x(10) is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes before 12:13 AM?\nAnswer: 6:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve f**3\/9 - 24296*f**2\/9 - 72895*f\/9 - 48598\/9 = 0 for f.\nAnswer: -2, -1, 24299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 16) in base 13?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290013.\nAnswer: 3, 96671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5081*f*n*s**2 + f*n*s + 250*f*n - 3*f*s**2 - 6*n*s - 16*s wrt s?\nAnswer: -10162*f*n - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 77.0554 millimeters?\nAnswer: 7.70554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 3*v - 6. Let p be o(2). Let g(x) be the third derivative of x**5\/60 + 8*x**3\/3 - 20*x**2 - 2*x. Give g(p).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 41, 5, -11\/4?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = v + 14 - 4. Suppose -15 + 7 = 4*w. Let n = w - v. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 30\/12*(2 - 1). Let u = 1188 - 1186. Sort -0.1, u, s, 0.05 in descending order.\nAnswer: s, u, 0.05, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 - j**2 + 2*j - 1. Let l be u(-2). Let k = -10 + l. Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14489 rounded to the nearest 100?\nAnswer: 14500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 671 is divided by 60.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -17*s - 428*s**3 + 10*s + 7*s - 538 wrt s.\nAnswer: -1284*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/5 of a kilogram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -16\/4473161 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, -8, 50 in decreasing order.\nAnswer: 50, 1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and 1*(4 - 121\/6)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 8*k**2 + 2*k - 9. What is t(-4)?\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + i**2 + i + 10. Let m be h(0). Let u = 992 - 972. Calculate the remainder when 4\/m - 483\/(-5) is divided by u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -91*x - 2919 = -7*x + 6069. What is the third biggest value in x, -2, 19?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 181412 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4365 or -4281?\nAnswer: -4365","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 22*s**5\/3 + 1250*s**4\/3 + 8218*s**3 + 186590*s**2\/3 + 346732*s\/3 - 23120 = 0.\nAnswer: -20, -17, -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*w = 102*w - 266. Solve -3*y + 6*y = 4*t - 1, -y - 7 = w*t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71376, 285468, 642298, 1141872, 1784196?\nAnswer: 2569276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 810 = -k. Let x = k + 303. Calculate the remainder when x is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) + 2 + sqrt(117) + 1 - (sqrt(117) + -1 + sqrt(117) + 3))**2*-5*1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Do -2702746 and -2702747 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11947000 rounded to the nearest 1000000?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 52 = 3*m. Let h = -5 + m. Suppose -3*x + 91 = -101. What is the greatest common factor of h and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-three halves of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (65 + 62 - 96)*(-l**2 - l**2 + 4*l**2) in the form k + m*l + g*l**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {c: 11, x: 2, s: 2}?\nAnswer: 11\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.12 * -109.8\nAnswer: -13.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 29 = -4*p + 3*x, 5*p - 34 = 3*x. What is the first derivative of 43*w**2 + 3 + p - 4 + 6 wrt w?\nAnswer: 86*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.105 and -0.08?\nAnswer: -0.0084","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2\/69 (b) -0.2 (c) -0.5 (d) -1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 2*o + 20. Let w = -106 - -68. Let c be (w\/(-16))\/((-11)\/22). Which is greater: o or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -238 divided by -2\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -643\/5 - -129. Let q = -0.072 + -0.328. What is the nearest to a in 1\/4, -0.1, q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 41 - 175 + 452*g**2 + 138 as l + q*g**2 + h*g and give l.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*m**2 - 69*m + 36*m + 33*m - 13638067 + 13638067.\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 - 2115?\nAnswer: -2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 3*i**2 - 6*i - 4. Let f(c) = -2*c**2 + 12 - 7 - 4*c**2 + 2*c**2 + 7*c. Calculate -4*f(n) - 5*u(n).\nAnswer: n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**2. Let o be 0\/3*(-1 + (-24)\/(-16)). Let v(y) be the first derivative of 0*y**2 + 1\/3*y**3 - 5 + o*y. What is v(t(m))?\nAnswer: 4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 1:08 AM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 13839063947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:15 PM and 7:42 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2778 - 2 - (-6)\/2. Let f = 4038 - n. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 5, 21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 233643 is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -155933 - -155981. Let b(q) = q**3 + 1 + 2*q + 0*q**2 + 0 + 6*q**2. Let y be b(-5). Calculate the greatest common factor of u and y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/63 and 125\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 9 = -4*f, 4*z = f - 2*f - 12. Let x(o) be the first derivative of 0*o**2 + 1\/3*o**3 + f*o - 1\/2*o**4 - 2 + 1\/5*o**5. Factor x(j).\nAnswer: j**2*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111000100111000 - 11100110?\nAnswer: 111000001010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-13*(-93)\/(-12896))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 261084*j - 261080*j - 5954745 + 5954745.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 28\/154 + 57\/(-11). Sort -10, 2, 5, -4, s in descending order.\nAnswer: 5, 2, -4, s, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xex when three letters picked without replacement from xxee?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64071*n**4 - 4*n - 9375?\nAnswer: 768852*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand t**2 - 2*t**3 - t**2 + (t + 2*t - 5*t)*(-2*t**2 + 4 - 4) - 2 + 378*t**2 - t**3 - 378*t**2.\nAnswer: t**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 8 - (15 - 5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 14\/(-49)*315\/(-180)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 - 24b43b15?\nAnswer: -24b43b19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 5*4\/(-12)*1*(-108)\/45\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-230)\/40)\/(1\/4) - 5625\/(-45)\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6534?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2, 35, 182, 505, 1070, 1943?\n\"Answer: 11*m**3 - 11*m**2 - 7*m + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**0)**(-1\/21)\/(p**(-1\/12)*p**(2\/5)) assuming p is positive.\nAnswer: p**(-51\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 75669440 a multiple of 320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8434 is divided by 21.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = -4*y - 2, -d - 10 = 3*y for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -7, -9, -13, -19, -27, -37?\n\"Answer: -d**2 + d - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1260, -1453, -1972, -2979, -4636?\n\"Answer: -27*q**3 - q**2 - q - 1231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7118214 is divided by 3559105.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 4*k**2. Let l be (1*(2 + -3))\/(-1). Let t(p) = l - 6 - p + 5. What is r(t(i))?\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(540) + (sqrt(540)*-3*-3 - sqrt(540)) + sqrt(540) - sqrt(540))\/sqrt(12)*2.\nAnswer: 54*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 c when two letters picked without replacement from {z: 4, d: 1, c: 3, l: 3}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 275412.\nAnswer: 1101648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of o**3\/3 + o**2\/2 + o + 5. Let a be w(0). What is the third derivative of a + 0*d**5 + 3*d**5 - 1 - 3*d**2 wrt d?\nAnswer: 180*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -4*k**2 - 531*k + 3178. Let x be l(6). Let n(c) = -1007*c + 152. Let z(m) = 33*m - 5. Determine x*z(j) - 5*n(j).\nAnswer: 19*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s + 2*s + 4 = 0. Let d be s + 246\/(-4) - (-7)\/(-14). Let n = d + 131. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 473, 475, 477, 479?\n\"Answer: 2*x + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1 + 2)*(-4)\/22. What is the nearest to 0.2 in f, -2, -1\/2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3 + ((-18)\/(-2))\/(-3). Suppose -3*y + 201 + 3 = o. Suppose 0 = -2*d + 4*u + 28, 5*d + 4*u = d + y. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a week in minutes?\nAnswer: 2520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, u: 8}. Give prob of picking 3 u.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33857, -67713, -101571, -135431?\nAnswer: -169293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 133\/107 smaller than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**2 + 9*v - 22. Let p be z(-11). What are the prime factors of ((-1 - -4) + -4)*(p - 58)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -346 + 350. Let b be -6*((-42)\/2 + 1). Suppose o*i + i = b. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -6b?\nAnswer: 6d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 25 + 14?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -668*u**3 + 6*u**2 + 84*u + 767. Let t(c) = -1336*c**3 + 13*c**2 + 182*c + 1533. Let x(z) = 6*t(z) - 13*w(z). Differentiate x(g) with respect to g.\nAnswer: 2004*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 + 59778.48\nAnswer: 59778.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes before 2:53 PM?\nAnswer: 9:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -4 - (-1212)\/(-20) - 3\/45*6. What is the fourth smallest value in 0.5, 0.1, 0, c, -0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18734?\nAnswer: 2, 17, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -58 + 76. Let w(z) = 6*z - 62. Let p be w(n). Let v = -44 + p. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (18\/36)\/((-1)\/(-1))*(-748)\/68?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1764)*1)\/sqrt(7) + (-3*sqrt(567))**2*-4.\nAnswer: -20412 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38938025 divided by -7.\nAnswer: 5562575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-8)*4 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -334232, -668444, -1002632, -1336796, -1670936?\nAnswer: -2005052","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(110)*2*-5*3)\/((sqrt(2420) + -2*sqrt(2420))\/sqrt(2)).\nAnswer: 30*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r = -h - 2, -5*h + r = 3*r + 10 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 0. Let m(j) = -1 + 4*j - 1 - 3 + 2*j**2 - 9*j. Let v(c) = 2*c**2 - 6*c - 6. Let a(f) = -7*m(f) + 6*v(f). Determine a(q).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1276854410 to the nearest 1000000.\nAnswer: 1277000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -770 - -2499. What are the prime factors of q?\nAnswer: 7, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111 (base 6) in base 3?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1406, -5431, -12140, -21533, -33610, -48371?\n\"Answer: -1342*q**2 + q - 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 3*g + 35 = 0 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 16 = -3*w. Put 1\/6, w, -0.04 in descending order.\nAnswer: w, 1\/6, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-4))\/(14\/28)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5 - 0) + (24 - 23) + 1 + 8.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, 4, -2, 84, 19, -11.\nAnswer: -11, -2, -1, 2, 4, 19, 84","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-26)\/(-8) + 42\/56. Let h be u*1 + (1 - -7). What is the greatest common divisor of h and 18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -154.3136551 - 140.615.\nAnswer: -294.9286551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20608 and 56444.\nAnswer: 290799488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -12579, -33, -6, 0 in decreasing order.\nAnswer: 0, -3, -6, -33, -12579","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 2*l - 29. Let n be q(17). Let s(u) be the first derivative of u**2\/2 - 9*u - 36. Calculate s(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 19 + -9. Let i(v) = 3*v - 12. Let t be i(w). Suppose -2*a = 3*z - 1, -2*z = -3*a - z + t. Solve -b + a = p + p, 2*b + 14 = 4*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 107612.2 nanometers to millimeters.\nAnswer: 0.1076122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*k**5 - 1872*k**4 + 153232*k**3 - 3847400*k**2 + 29872500*k + 33875000 = 0. What is k?\nAnswer: -542, -1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 630 and 1466370.\nAnswer: 10264590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 5*s = 29, -5*z - 3*s + 19 = -4*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 6:25 PM?\nAnswer: 7:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 1. Let l = 4 + -4. Let n be m(l). Let j = 1 - n. What is the remainder when 5 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 + -44 - (1 + -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 403 + -132220302?\nAnswer: -132214344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -37, -61776 in descending order.\nAnswer: 0.2, -37, -61776","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - ((569 - 635) + (0 - 17))?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 + 480*b - 8 + 25.\nAnswer: 480*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = j**3 + 6*j**2 + 3*j - 6. Suppose -3*l = -k + 13, 3*l - k + 3 = 2*l. Let z be n(l). Solve -4*g - z = 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 114439 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 74581, 149127, 223673, 298219, 372765, 447311?\n\"Answer: 74546*g + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 68784.6 milliseconds to seconds.\nAnswer: 68.7846","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 8*g**2 - g + 2. Let p = -1102 + 1097. Determine a(p).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1049586?\nAnswer: 2, 3, 174931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (4 + 147\/(-21))*(-1)\/(-18)*(-24)\/(-40)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 0 + 1 + -1. Let b be 115 - (-1 + -3 + y). Calculate the highest common factor of b and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 105 - 16150*m**2 - 25*m + 107977*m**2 - 105.\nAnswer: 91827*m**2 - 25*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 27 = 1. Let r = -3 + y. Let p = r - 2. Solve -4*s = d + 11, 3*d = -p*s - 2*d - 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6964 - 6955. Let q(w) be the first derivative of -16\/7*w - 1\/14*w**4 - 4\/7*w**3 - 12\/7*w**2 - d. Factor q(l).\nAnswer: -2*(l + 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 185529041.\nAnswer: 17, 641969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-14)\/8)\/(-1)*734\/(-2569)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 1:14 AM?\nAnswer: 7:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bss when three letters picked without replacement from {w: 1, b: 1, s: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -20369 * 70.4\nAnswer: -1433977.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 5*k + 65. Let g be t(-12). Solve u - 19 = 5*u + m, -g*u - 4*m - 21 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2\/7, 1\/7, -2, -5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 + -5. Let c be 35\/x + 4\/(-16). Let p = c - -14. Let y(v) = 2*v**3 + v**2 - v + 3. Let j(u) = 4*u**3 + u**2 - 2*u + 5. Calculate p*y(s) - 3*j(s).\nAnswer: -2*s**3 + 2*s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from llllevealvle. Give prob of sequence evae.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -6*i**3 - 3*i**2 - 14*i - 13. Let v(g) = 5*g**3 + 2*g**2 + 13*g + 12. Let h(o) = -6*d(o) - 7*v(o). Give h(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 47 = 227. What is the remainder when f is divided by 26?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**3 - 19*u**2 - 36*u - 32. Let j be o(-17). What is the biggest value in -39, 4\/5, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = 3*j, y - 3*j + 5*j = -8. Let m(u) = -y*u + 30 - 24 + 19*u. Suppose -4 + 10 = -x. Let o(z) = -8*z - 3. Calculate x*m(h) - 13*o(h).\nAnswer: 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1392 and 149\/1164?\nAnswer: 135024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 z, 1 e, and 1 x when four letters picked without replacement from {z: 5, f: 1, e: 3, c: 1, x: 2}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s**2. Let f(k) be the first derivative of 0*k + 1\/3*k**3 - 31\/2*k**2 + 173. Give f(a(t)).\nAnswer: 9*t**4 - 93*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100111111 + 1000000001011001110000?\nAnswer: 1000000001011110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + v = -7*q - 52, 0 = -5*q - 4*v - 76. Let z(s) = -s**2 - 11*s + 15. Let i be z(q). Suppose 3 = -i*l + 21. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1576656593 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the first derivative of v**4\/4 - 19*v**3\/3 + 2*v**2 + 3*v + 4657. Calculate c(19).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5*b - 265 = 4*b, -3*b + 271 = -2*q. Let h = q - -138. Calculate the lowest common multiple of h and 70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s - 5*s + 36 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -224 divided by -239.\nAnswer: 224\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is ba0a270 + 5?\nAnswer: ba0a275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 10010001001 (base 2) to base 11\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 - 17*m**2 + 5. Let r be t(17). Solve r*x + 10 = -0*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x + 1. Let m(v) = v**2 - 2*v - 3. Let h(d) = m(d) + z(d). Calculate h(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 26265.69ug?\nAnswer: 0.00002626569","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/(p**3*p)*p)\/p))\/(p*p**(-11\/2)*p*p))**(3\/31) assuming p is positive.\nAnswer: p**(39\/62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 10391695 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -68\/15, 2, 1\/6, 1\/2, -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3.1 - 3.4. Let h = 0.89 + -0.69. What is the biggest value in -1, h, r?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - 5 - (0 + -2)) + -7 + -17.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 - (4 + 13) - (-8 + 2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*h = 32*h - 16*h + 126 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19106390.\nAnswer: 2, 5, 67, 28517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35 - 37 - 38 + 62*b**2 + 170 + b**3 - 60.\nAnswer: b**3 + 62*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -220 divided by 110.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -47 - -66. Let b = 19.075 - o. What is b rounded to 2 decimal places?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/(-3))\/((-2)\/(-6)). Let s be ((-7)\/3)\/(d\/1860). What is the common denominator of 29\/9 and 2\/(-11) - s\/44?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-99)\/(-6)))\/((-6)\/(-378)*6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 429 + 0. List the prime factors of n.\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -652*f + 730*f = -156 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 83909310 to the power of 1\/4, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -4*o**3 + 24*o**2 + 37*o + 12. Let f(u) = -11*u**3 + 68*u**2 + 109*u + 35. Calculate -6*f(w) + 17*i(w).\nAnswer: -2*w**3 - 25*w - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.2 + 0.5. Let d = 1763 - 1753. Which is the second smallest value? (a) m (b) 0 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (-14 - (1 + -8 + 11))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j**4 + 2*j**3 + 1062.\nAnswer: 12*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13755?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-2) + 3860\/8. Suppose -2*p - 122 = -d. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*g + 24 + 18*g - 24.\nAnswer: 13*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2428600787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/(3\/(-177)))\/((7636\/184)\/83).\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = u**3 + 5*u**2 - 6*u - 3. Let k be y(-6). Let a be (-3 + 0)\/((-84)\/8). Let t = -1\/28 + a. What is the second biggest value in 2\/15, t, k?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16576 is divided by 70?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.0890152 rounded to 3 decimal places?\nAnswer: 29.089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-8 - (-26 + 5 + 3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-640)\/135)\/(-32)*(-2)\/(16\/(-3))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) be the first derivative of 27*v**4\/2 - 2*v**3\/3 + v**2 - v + 4. Is z(1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 11*m**2 + 10*m. Let s(p) = 2*p**2. Give s(o(u)).\nAnswer: 242*u**4 + 440*u**3 + 200*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*d**3 - 5891*d**2 - 5894*d**2 + 25192*d**2 - 5898*d**2 - 7509*d**2.\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1763776607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 487*o**2*x + 15*o**2 - 16*o*x**2 - 38*x**2 + 1983 wrt o.\nAnswer: 974*o*x + 30*o - 16*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5155 = 27*z + 5020 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46320383\/110 - 421046. Let d = -224\/5 + g. Find the common denominator of d and -33\/8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 8*f + 20. Let o be z(-2). Suppose 3420 = l + 2*k - 1236, o*k = -3*l + 13978. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 483*y**2 + 18*y + 8. Let m(a) = -478*a**2 - 24*a - 9. Give -4*l(s) - 3*m(s).\nAnswer: -498*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8806 and 35210014.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 5*u + 17, a + 3*u - 7 = 5*u. Let o be (-4)\/(9\/(-3) + a). Suppose 0 = 3*w + o - 41. What is w rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 100150 is divided by 428?\nAnswer: 426","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-21)\/(-6))*78495\/62796?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 14982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 14415, 28839, 43263, 57687, 72111?\n\"Answer: 14424*k - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. Suppose j*a + 23 = -v - 0*a, 4*v - 5*a + 160 = 0. Let z = v - -39. Solve -2*d + 7*d + 33 = -2*x, 0 = -4*x + z*d + 4 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -814 = 82*r - 240 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -119*k + 134*k - 55485. What are the prime factors of k?\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -23.4, 1\/2, 0.1, 2\/3, 1\/5 in ascending order.\nAnswer: -23.4, 0.1, 1\/5, 1\/2, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-178)\/14 - 32\/112)*7. Let c(a) = 42*a + 4. Let v be c(4). Let l = d + v. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**2 - 6*n - 1. Let k(m) = m**3 - 9*m**2 - 2*m + 1. Let c(r) = r**3 - 10*r**2 - r + 1. Let q(y) = 5*c(y) - 6*k(y). Let a be q(5). Is w(a) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-24)\/2)\/((-12)\/8). Let y = i + 0. What is the greatest common factor of y and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 160aab (base 15) to base 7.\nAnswer: 12025343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zqmzzzmkqxqqzmm. What is prob of picking 1 m and 2 x?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h - 8. Let t be x(-8). Let l = 4 - t. Find the second derivative of -q**4 + 11*q - 15*q + 6*q**l wrt q.\nAnswer: 60*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8757.019985 + 8757. Let p = 8 - 8.02. Let l = o - p. What is l rounded to 5 decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -16? (a) -1 (b) -209\/5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-192)\/504 + 28\/(-98). What is the nearest to h in 2, -1\/2, -0.2, 0?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -2*b. Let m(w) = -11*w - 5. Give -m(h) + 6*n(h).\nAnswer: -h + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of 5*l**3\/6 + 338*l. Let b(v) be the second derivative of -v**4\/12 - v. What is b(n(g))?\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130026540 divided by 238.\nAnswer: -546330","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -132 and 0.006.\nAnswer: -131.994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 4*a. Let x be r(4). Let t be 4\/x + (-22)\/(-8). Solve 0 = -o + t*o + 6 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g\/(g*g**(-3))))\/(g\/(g\/g**13)))**(-11\/7)*(g*(g*g**(-1\/2)\/g)\/g*g*g**(-4\/3))**(2\/69) assuming g is positive.\nAnswer: g**(34120\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -44\/7 in -0.06, -2.4, -2\/17?\nAnswer: -2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-4 - (-5 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - -1 - (-1 + 8) - 37?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 9990.\nAnswer: 1\/4995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/13, 4\/7, -11?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -107\/140 and -93\/70.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3*i*w**3 + 42154*i*w**2 + 76380*i + 6 wrt w?\nAnswer: -9*i*w**2 + 84308*i*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbtabcabaadtpt. Give prob of sequence tt.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 260 a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 40 = 36 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -4.7, -3, 5, 20, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (1*sqrt(121))\/sqrt(11) + -1 + (1 + sqrt(44)\/sqrt(4) - 3*sqrt(275)).\nAnswer: -13*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, d: 1, s: 1}. Give prob of picking 1 d and 1 s.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) be the third derivative of -h**4\/12 + 8*h**3 + 201*h**2. Let q(c) = 2*c. Calculate i(q(d)).\nAnswer: -4*d + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -0*c - 36. Let q be (-24)\/18*3\/(-2). Suppose g - 3*p = -q*p + 4, 4*g + 2*p - 16 = 0. Calculate the greatest common factor of g and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3.4 - 4. Let z = o - -0.2. Let h = -0.6 + z. Put -0.2, 3, h in increasing order.\nAnswer: h, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 + 1 + -1 - (20 - 25)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 38161243?\nAnswer: 17, 2244779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -7*o - 7*o. Let h be ((-2)\/2 + -2)*-3. Let i = -18 + h. Is o smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 AM and 11:03 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 0*i + i + (0*i + i + i)*(-6 + 3 + 1))*(i**2 - 7*i + 7*i).\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2702 - -2703. Suppose 4*b = -2*v + 26, 2*v + 0*b - b = 11. Calculate the greatest common divisor of p and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3382, -13518, -30394, -53998, -84318?\n\"Answer: 2*v**3 - 3382*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15699 - 15698.91739. What is a rounded to two dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*z**4 + 49 + 2*z - 526*z**3 + 522*z**3 + 0*z + z**2 as h*z**3 + u + o*z + v*z**4 + y*z**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1097095 is divided by 156726.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t**5\/7 - 190601*t**4\/7 - 1508618640*t**3\/7 + 80728135807*t**2\/7 - 156929653260*t\/7 + 77710326700\/7 = 0. What is t?\nAnswer: -15910, 1, 307\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -172, 0.2, 1, 10 in descending order.\nAnswer: 10, 1, 0.2, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 - 2) + 8 - 2. Which is the nearest to 41? (a) 5\/4 (b) j (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/9, 5, -2\/13, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5678, -6182, -6686?\nAnswer: -7190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -764, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 9400 divided by 1?\nAnswer: 9400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144620 divided by -6?\nAnswer: 1072310\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.49647ug?\nAnswer: 0.00000949647","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h - 2*y = 9*h - 1630, 3*y = 3*h - 2427. Is h a multiple of 65?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d**3 + 30*d**2 - 1188*d = 0. Calculate d.\nAnswer: -33, 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 124 (base 8) in base 11?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (4*sqrt(4320))\/((sqrt(180)\/sqrt(3))\/sqrt(6)).\nAnswer: -4 + 48*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85682765 to the nearest integer?\nAnswer: 9256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a - 13. Let z(k) = 32*k. Let d(n) = 27*n + 2. Let c(g) = 6*d(g) - 5*z(g). Calculate 5*c(v) + 4*w(v).\nAnswer: -2*v + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 17, 2\/5, -94, 0.03, 0.5, 2\/3?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**14\/(s*s\/(s**(13\/2)*s)))\/(s**(-2))**(-15) assuming s is positive.\nAnswer: s**(-21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 226*(25\/(-2) + 3) + -3. Find the common denominator of -67\/54 and (4\/90)\/((-40)\/n*1).\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1124*t + 939*t + 2405 = 0 for t.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 17, 19, 31, 59, 109?\n\"Answer: i**3 - i**2 - 2*i + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*h**3 + 20*h**3 - 51*h**3 - 65*h**3 - 59*h**3.\nAnswer: -139*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121 = -38*v + 259. Which is greater: v or 98\/11?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 17 + 7*o**3)*(0 - 11 - 7).\nAnswer: -126*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 2:44 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -58682, -117364, -176046, -234728?\nAnswer: -293410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -27\/794, 25, 0.1, -1, 2\/9?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -223, -891, -2001, -3547, -5523, -7923?\n\"Answer: a**3 - 227*a**2 + 6*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -70689 - -53440937\/756. Calculate the common denominator of 29\/28 and l.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, 3, -12 in ascending order.\nAnswer: -12, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the first derivative of -n**4\/4 + 4*n**3\/3 + 2*n**2 + 8*n - 26. Calculate the remainder when d(-3) is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 904*i.\nAnswer: -4*i*(i + 226)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 - 6*f + 10. Suppose 0 = 4*z - 3*z - 5. Let y be q(z). Suppose 83 + 52 = y*o. Does 7 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1120 (base 8) to base 6.\nAnswer: -2424","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 1a185b?\nAnswer: -1a185d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kqqooqoq. What is prob of picking 2 o?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 10100 = 5*m, 4039 = 94*p - 92*p - m. Is p a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 88 = 4*y. Let k = y - 175\/4. Factor 0*m + k*m**2 - 1\/4*m**5 + 1\/4*m**3 + 0 - 1\/4*m**4.\nAnswer: -m**2*(m - 1)*(m + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 9\/4 - (-2)\/(-8). Suppose u = -4*h + 6. Solve -13 + h = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1013*z - z**3 + 820*z - 1833*z.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x = -g - 120 + 134, -18 = -2*g + 5*x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/5, -27, 1\/2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is -796 greater than 2\/919?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 108.2 + -146. Let t = -1.2 + x. Let u = t + 39.002. What is u rounded to 3 dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 80294264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15 and 1780?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 480\/(-56)*12*(-119)\/(-612).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 21 - (13 - (5 + -4)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 15066, 30634, 46206, 61782, 77362?\n\"Answer: 2*x**2 + 15562*x - 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**5\/4 + 933*a**4\/4 + 96717*a**3\/4 + 3693483*a**2\/4 + 3154896*a - 349064640 = 0.\nAnswer: -144, -67, -48, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 68, 84, 126, 206, 336, 528, 794, 1146?\n\"Answer: 2*w**3 + w**2 - w + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*j - 24*j = -2*m - 43, -m = 2. Solve j*g = 5*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 - 3*g**2 - 2*g + 3. Let q be z(3). Let w be ((q\/6*0)\/2)\/(-3). Let h(l) = -2 - 19*l**2 + 1 + w + 0. What is h(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1197, 1216, 1249, 1302, 1381?\n\"Answer: a**3 + a**2 + 9*a + 1186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(1\/5)\/q)**(-48\/5)*(q*q*q*q*q**(2\/11)\/q*q)**(-1\/33) assuming q is positive.\nAnswer: q**(68546\/9075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add together 269876.7 and 23.\nAnswer: 269899.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4392 is divided by 28?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.22 + -0.22. Let b = -4 - x. Let u = 2 + b. What is the closest to -1 in 4, 1, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2484*k + 2488. Determine t(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 5*g - 2*o, -6*g - 4*o + 8 = -4*g. Suppose 0 = g*v + 5 + 1063. Let y = v + 465. What are the prime factors of y?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 2\/3 (b) 5 (c) 4 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 68696888063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*t**5 + 31*t**3 - 31*t**3)*((1 + 1 - 3)*(2 + 1 + 0) + (1 + 1 - 1)*(-1 - 4 + 3))*(1 - 3 + 0).\nAnswer: -110*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 24 = 2*m + 4, 5*k + 20 = 0. What is the smallest common multiple of m and 7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73422.\nAnswer: 2, 3, 4079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and 11775430.\nAnswer: -164856020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -31\/9 (c) -10\/1607\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11050195 divided by -5.\nAnswer: 2210039","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13621879 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, 0, -5, 10 in decreasing order.\nAnswer: 10, 5, 0, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21 - -21 - (-1 - (-17 - -2))) + 363 + -230.\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + (-2)\/1 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*s**3 - 10*s**3 + 299*s**3 - s**2)*(-5*s - 3*s + 5*s).\nAnswer: -756*s**4 + 3*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 430739 + 5.2.\nAnswer: 430744.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1191896713?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + ((3 + sqrt(1872) + -1)*-6 - ((sqrt(1872) - -1*sqrt(1872) - sqrt(1872))*-4 - -5*(-1 + sqrt(1872)))))**2.\nAnswer: 1008*sqrt(13) + 91764","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0681 and -4.\nAnswer: 0.2724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -19.386 greater than or equal to 503?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.6 from 786.\nAnswer: 786.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -24 + 27?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -3*u**3 + 5*u**3 + 6*u**2 - 10*u - 3*u**3 - 14 + 6*u**2. Suppose 0 = 3*o - 8*y + 3*y + 1336, y = o + 444. Let z = -431 - o. Determine n(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6040879 from -8.\nAnswer: 6040871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3475 - (-3 - -2)\/(31\/(-62))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 7 = 2*o, 2*o = -3*g + 3 + 8. Suppose g*x + 3 = 6*x. Suppose -1 - x = -n. Solve 0 = -3*f + n + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, -0.4, -50?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.82 to 0 dps.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - -31. Calculate the remainder when y is divided by -2 - 1625\/(-95) - 34\/323.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 810.4494 in 1\/2, -2\/5, 3, -0.3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of 76*q**4\/3 - q**3\/6 + 129*q**2 + 2643*q. Find the second derivative of x(w) wrt w.\nAnswer: 608","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37874520953 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 51?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8*j + 89 + 83 = -79 + 215, 0 = -4*q + 5*j + 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -y**2 + 3*y + 7. Let z be q(4). Suppose -z*p - p = -3*m + 1, -4 = -2*p. Solve 21 = 3*h + m*s, s = -3 + 6 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 592?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 6195917535 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - c**2 - 3*c - 1. Let p be g(-2). Suppose -2*r - r = -p. Solve 0 = -0*a - a - l, 2*a + 5*l = r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -489 + 489.2. What is the closest to -0.6 in k, 2\/7, -1\/4, 4\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 94.5?\nAnswer: 94.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*z + z. Let t be z - (5 - 2)*1. Let g = 108 + -107. Which is the smallest value? (a) t (b) g (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26789 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -142.7 smaller than 275613\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -50\/207 and -10\/483.\nAnswer: 1449","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ktt when three letters picked without replacement from {t: 9, k: 3}.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zw when two letters picked without replacement from wwvvz.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104194 - 12858 = 441*v + 692*v + 6361 for v.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36.326+7798\nAnswer: 7834.326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-1 + 3 - 3)) + 10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 38 - 15. Let p(x) = -x**3 + 75*x**2 - 171*x + 1917. Let v be p(73). Calculate the greatest common divisor of o and v.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.00986 - 734.\nAnswer: -734.00986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -75 - -78. Suppose -4*l - 2*f = -x*l - 63, 280 = 4*l + f. List the prime factors of l.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 4:50 AM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38583 and 135?\nAnswer: 192915","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -4*m**2 + 29. Let s(a) = -1968*a - 1972*a + 3939*a. Calculate i(s(y)).\nAnswer: -4*y**2 + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 10:19 PM?\nAnswer: 692","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 2*k - 2*k)*(6*k + 6*k + 0*k + (0 - 2 + 1)*(-2*k + 0 + 0)) to the form b + o*k**2 + i*k and give o.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*p - 508 + 1091 = 545 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2663*u**2 - 5295*u**2 + 2643*u**2. Let t(o) = o + 5. Let m be t(-3). Let a(r) = -3*r - 3*r**m + 3*r. Calculate a(i(y)).\nAnswer: -363*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 397840246?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**24*w*w**(-17) assuming w is positive.\nAnswer: w**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v**0*v))\/(v*v**5))\/(v*v\/(v*v*v**1\/v)*(v\/(v**(-7)\/v))\/v*v*v))\/((((v\/(v**5\/v))\/v)\/v*v)\/(v*v**(2\/11)))**(17\/4) assuming v is positive.\nAnswer: v**(265\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -3. Let l = m - 5. Let k = 8 - l. Which is the third biggest value? (a) 1 (b) -5 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -10 - 4) + 3.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26217000 = -1001*l + 983*l. Round l to the nearest 10000.\nAnswer: 1460000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:47 AM and 1:39 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 44 + 297. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**3 - 2*r**2 + 2*r**2)*(0 - 1 - 1) + (-4*r + 1 - 1)*(-2*r**2 + r**2 + 2*r**2).\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 281220?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3818*f**2 + 2*f + 3545.\nAnswer: 7636*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cdctdje. Give prob of sequence cctd.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 - 3*l - 3. Let a be v(-2). Suppose -k - a = 3*o, 20 = k - 5*k - 4*o. Suppose 67*t - 56*t + 55 = 0. Which is smaller: k or t?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**2 + 7*d + 12. Let v be g(8). Let u = 54 - 52. Sort v, u, 1, -5.\nAnswer: -5, 1, u, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:26 AM and 8:12 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - 3*r - 75, 3*j + 17 - 68 = -5*r. Calculate the remainder when 57 is divided by j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 66610 + -39965. Is 73 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -4*w + 3. Let h(c) = 4*c - 4. Let j(r) = 4*h(r) + 3*i(r). Let t(u) = -5*u + 8. Calculate -6*j(g) - 5*t(g).\nAnswer: g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 5*u**2 - 2*u**2. Suppose -4*h + 20 = 2*j, -4*h - 3*j + 20 = -4*j. Let l(k) = -22*k + 9*k + h*k + 2*k. Calculate l(s(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 a when two letters picked without replacement from {a: 2, d: 3, g: 3}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4860295499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 742164 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.0336 - -366.9664. Let w = v - 363. Let o = 13\/33 - 5\/22. Which is the second biggest value? (a) o (b) w (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzrffff. Give prob of sequence zzr.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -31899207, -31899208, -31899203, -31899186, -31899151, -31899092, -31899003?\n\"Answer: z**3 - 3*z**2 + z - 31899206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 148 + -84. Suppose -33 - d = -s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17 and 2.4?\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 894 - 893.5. What is the closest to 0.04 in 5, -1, c, 2\/33?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g*g\/(g\/(g**(2\/3)*g))*g)\/(g*g**(1\/10)*g*g)*((g\/g**(2\/19))\/g*g)\/(g**(-6)*g*g) assuming g is positive.\nAnswer: g**(3683\/570)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.95 + 2.08. Let d = -0.07 + 5.07. Let n = 61 - 57. Put r, n, d in increasing order.\nAnswer: r, n, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -497*c. Let y(o) = 25*o. Let k(z) = 6*x(z) + 119*y(z). Let w(s) = 72*s. Calculate k(w(h)).\nAnswer: -504*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 473*j**3 - 1419*j**2 + 222*j + 9020 wrt j.\nAnswer: 2838*j - 2838","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6046.765 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 977 + -973. What is the highest common divisor of 252 and x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p - i - 31640 = 5*p, 2*p - i - 12656 = 0. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10240 - 10239.9. Let l be (-2)\/6 + 2\/3. What is the nearest to l in 23, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3310 (base 5) to base 12.\nAnswer: -31b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 252, 337, 256, 9, -404, -983, -1728?\nAnswer: -2639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a + 12. Let s(p) = -643*p - 24. What is -s(m) - 2*y(m)?\nAnswer: 641*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 9) to base 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-21)\/(-14))\/(3\/4). Let d be x\/8 + 76\/16. Solve 0 = d*u + 4*q - 10, 8*u - 10 = 3*u + q for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292 = -4*j + 8. Is 25 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-767 - -757)*8\/14\nAnswer: -40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2172, 4437, 6778, 9177, 11616, 14077?\n\"Answer: -3*n**3 + 56*n**2 + 2118*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 5610 divided by 561\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 238*y**3 + 536*y**3 + 2349*y**3.\nAnswer: 3123*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3951459 and 603?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.116 + -1.416. Let t = 0.957 - -0.043. Which is the nearest to m? (a) -5 (b) t (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9568 is divided by 31.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/5 (b) -22 (c) 2\/9 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 557, -1\/6, -1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that g**2 + 16311*g + 244440 = 0.\nAnswer: -16296, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/18413050 and -41\/6845.\nAnswer: 18413050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45.2 + -2.2. Let z = b - 42.852. Let q = -0.077 + z. What is q rounded to 2 decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.00228 + 8.\nAnswer: 7.99772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + 7*b**2 + b - 5. Let k(o) = -o**3 + 21*o**2 - 53*o + 13. Let y be k(18). Suppose 4*n = c - y, 2*n + 4*c - 2 = -4. Give w(n).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:49 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-4*sqrt(504))\/(sqrt(288)*-4).\nAnswer: 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 928, 15, 2\/13, -4, 1?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -1626631?\nAnswer: 650652.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 42337 and -0.006?\nAnswer: -254.022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = -6*o + 6. What is the remainder when 11 is divided by o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 493710025 and 5.\nAnswer: 493710030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -39, -4\/7, 1\/2427?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.9 - 6. Suppose 0 = 6*l - 5*l. Sort 5, l, s.\nAnswer: l, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 minutes after 5:54 AM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -120472.4 and -1.38.\nAnswer: 166251.912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 2*f = 0. Suppose f*t + 3*t - 87 = 0. Calculate the remainder when t is divided by 62\/6 + (-3)\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 3) to base 2\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.5872 - 48.9228. Let l = 12.39 - b. What is l rounded to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h\/(h**(6\/7)\/h))\/(h*h\/h**(-1\/10)))\/(h*h\/(h**(-1)\/h))**(-3\/4))**(-49))**(-44) assuming h is positive.\nAnswer: h**(22022\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1614*b = 1612*b - 16, 5*y = -b - 23 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-690)\/2*(-2 + 28\/21) is divided by 58.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 * -320\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17 - 20. What is the closest to 2 in 5, x, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -74 - -158. Let d = -242 + a. Let y = d - -242. Is y a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, 2, 48, 134, 272, 474, 752, 1118?\nAnswer: 1584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*-1941435.\nAnswer: -970717.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-2\/57)*y\/(y\/y**(-13\/3))*y assuming y is positive.\nAnswer: y**(-64\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 495178 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 17*v + 3 = 0, -121*b + 126*b + 2*v = 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-217)*((-1232)\/32)\/11\nAnswer: 1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.06, -3, 1\/2, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 7*t**2 + 14. Let g be d(-7). Suppose g*f = 16*f - 4. Solve -y + 12 = f*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of v**4\/4 - 4*v**3\/3 - 2*v**2 - 3*v - 1. Suppose u - 2*u = 0. Let j = u - -5. Calculate r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 786722, 786721, 786720, 786719, 786718?\n\"Answer: -r + 786723","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 3*c**2 - 15*c + 1. Let p be m(5). Let z(u) = u - 1. Let s(b) = 4. Determine p*s(g) + 3*z(g).\nAnswer: 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80 - 69 - (-3 + 1 - (-28 + -1)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1.7074 + -0.7074. Which is the fourth smallest value? (a) 3 (b) g (c) 16 (d) -2 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4980 by -83.\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.35 + -103.35. Let f = n + 114. Let c = 4 + -3.6. Put f, -5, c in increasing order.\nAnswer: -5, c, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 4*u + 22. Let h(x) be the first derivative of x**2 + 12*x + 6750. Determine i(h(f)).\nAnswer: 8*f + 70","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 AM and 10:30 AM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69996 = 119*g - 875117 + 249558. Does 78 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((1 - -3) + (4 - 11) - -2) + 7\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 14*o + 13. Let u(d) = -d - 1. Suppose 132 = 4*k + 444. Give k*u(p) - 6*j(p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -6*x**2 + x - 1. Let j be q(2). Suppose 172 = 45*m - 41*m. Let p = j + m. What is the highest common factor of p and 100?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -18884.8 + 18885. What is the nearest to p in -4, -1\/3, 1\/6, -5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 5) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 14 - (5 + 0 + -5) - 8\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jcawawcaajwosaocjajw. What is prob of sequence wwcw?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1582 or 1590?\nAnswer: 1582","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13.9203 times 0.85?\nAnswer: -11.832255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x**2 - x - 2. Let b be j(2). Suppose v = -2*v + b. Let i = 1 + v. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*b - 113*b - 96 = 0. Let a be 0 + (-4)\/2 + 46. Calculate the remainder when -1 + 3512\/a - b\/(-44) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 68 - 68.3. Put v, 1, 8 in ascending order.\nAnswer: v, 1, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52213543 (base 6) to base 16.\nAnswer: 170d27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 8.0104283 - -1251.0701117. Let o = u + -1259. Let i = o + -0.08. Round i to four decimal places.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**4\/2 + 4*v**3 + 6*v**2 - 72*v = 0.\nAnswer: -4, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 30182 to the power of 1\/2, to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6*(-2 + 3) - (-272)\/(-44). Which is the second biggest value? (a) 8 (b) 0.5 (c) 3\/2 (d) 1\/4 (e) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -13*z + 5. Let s = -6 - -4. Let r = s + -2. Is t(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -38.169 - -38.185719. What is n rounded to four decimal places?\nAnswer: 0.0167","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 + (-33)\/(-9))*-549. Calculate the greatest common divisor of 122 and i.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 1238 = 5*a + 339, -184 = -a + 4*c. Calculate the least common multiple of 12 and a.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**3 - 3*t**2 - 3*t - 1. Let j be h(4). Let c = 2 + j. Solve 0 = -u + 5*z + 4 + 4, 4*u - c*z = 17 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*l + 2 + 10. Suppose -20 = l*k + 2*k. Is 58 - 2\/k*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m**3 - m**2 + 2*m + 3. Let l(f) = 7*f**3 - 2*f**2 + 2*f + 3. Let b(y) = 6*j(y) - 5*l(y). Suppose 2 = 4*q + 18. Let k = -8 - q. Give b(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:43 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54716 is divided by 171.\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*x - 12. Let o = x - 0. Determine b, given that -o - 1\/2*b**2 - 2*b = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1)\/(-3) + 5\/3. What is the tens digit of 412\/3 + x\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 185761.88 rounded to the nearest one hundred?\nAnswer: 185800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*x - 68 + 1063 = 23*x - 877 for x.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/57? (a) -3 (b) 0.5 (c) -2 (d) -3.8 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**2\/4 - 2550*a - 46143.\nAnswer: 3*(a - 3418)*(a + 18)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*a**2*o*t**2 + 879*a**2*t - 9*a*o*t**3 - 2*o + t**3 wrt o.\nAnswer: 2*a**2*t**2 - 9*a*t**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*t - h, 3*h = 2*h. Let a(p) = -41*p**3 + p**2 + 5*p - 5. Let y be a(t). What is the smallest value in -0.5, 1, -2\/7, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1046?\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c - 9. Let o = 11 + -5. Let g be n(o). Let d be (-46)\/2 + (-1078)\/(-44). Which is greater: g or d?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 734086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*t = 167 - 911 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 2*z - z + 9, -12 = 5*t + 2*z for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/24*(-874)\/76.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(132)*1 + -6*sqrt(132)*-1)\/(4*(sqrt(11) - sqrt(121)\/sqrt(275))*-5))**2.\nAnswer: 75\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4, r: 3}. What is prob of picking 1 r and 1 w?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 4572387 divided by 1524129\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ebddbdt. Give prob of sequence betd.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 0*p = 14. Let o = 14.392 + -13.392. Which is the closest to o? (a) 0.7 (b) 2\/9 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 712421.6 days in minutes?\nAnswer: 1025887104","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - 232.007033?\nAnswer: -225.007033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n. Let d(l) = -9*l. Let x(j) = -j. Let o(p) = 4*d(p) - 42*x(p). What is o(k(s))?\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0 (b) -0.2 (c) 1444\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.3 and -894738572052.\nAnswer: -894738572051.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -2 + -3 + -4 + 23. Suppose -3*r + 8*r - 10 = 0. What is the highest common divisor of r and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4470 from -34.68.\nAnswer: -4504.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-42)\/35)\/(5\/(7150\/(-4))).\nAnswer: 3, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -579390*d**2 - 1063 + 1063.\nAnswer: -579390*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 745498362.\nAnswer: 2, 3, 7, 1019, 17419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -737, -732, -715, -680, -621, -532?\n\"Answer: d**3 - 2*d - 736","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, -4, -3, 6.996?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 16*q + 10. Give l(12).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 641537?\nAnswer: 13, 61, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 a, and 1 j when three letters picked without replacement from {a: 6, j: 2, o: 4, b: 1}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 34\/(-238))\/(-2*(-2)\/40*-4)?\nAnswer: -20\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 980\/5*((-2960)\/140 + 21)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(6)\/(-2*sqrt(98) + sqrt(98)) + -3 - (sqrt(192) + 4 + (sqrt(63)\/sqrt(3))\/sqrt(7)).\nAnswer: -64*sqrt(3)\/7 - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (10\/(-8))\/(4\/(-16)). Suppose q + l = -5, r*q + 3*l = -0*l - 17. What is the units digit of 6 + q + 2 + -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/18024 and (129\/(-33) - -4) + (290997\/770)\/(-31).\nAnswer: 90120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 824 and 258118?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11877968 divided by 16.\nAnswer: -742373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-255424)\/2456*(-7)\/8.\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.03, 0.3, 231, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the second derivative of 65*l - 1\/6*l**3 + 0 + 1\/20*l**5 + 0*l**2 - 5\/12*l**4. Give c(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9685781319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171)*3 + sqrt(171))*-5)\/(sqrt(900) - sqrt(900)*1 - sqrt(900) - sqrt(900)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 132 + 0?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10100212 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 3231\/34 = 96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -254, -509, -764, -1019, -1274, -1529?\nAnswer: -1784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 2 - ((-5 - -3) + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8734037, 17468106, 26202173, 34936238?\nAnswer: 43670301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 56) + 7 + 26\/13?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 625?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l - 3*l + 112. Calculate the greatest common factor of 8 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-2\/59)\/((f**(-3)\/f)\/f))**7\/((f*f**(-3\/4)*f*f\/(f*f**(-1\/2)*f))\/((f*f**(-2\/17))\/(f\/(f\/((f**(-3)\/f)\/f))))) assuming f is positive.\nAnswer: f**(160059\/4012)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 803 times 4?\nAnswer: 3212","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -4*w**2 - 81*w - 70. What is v(-15)?\nAnswer: 245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(117) + sqrt(117))*5)\/(6*sqrt(144)) - ((sqrt(156)\/(sqrt(12)*1 + sqrt(12)) - (sqrt(117)\/(sqrt(18)\/sqrt(2)) + sqrt(13))) + -4).\nAnswer: 4 + 31*sqrt(13)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4728*c**3 - 8790*c**3 - 1167*c**3.\nAnswer: -14685*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*a + 3 = p, 2*a - p = -11. Let w be a\/(-2) + 0 + -3. What is the units digit of ((-2)\/((-4)\/18))\/w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*u - 34*u = -19376. What are the prime factors of u?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 1167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/4869 or -1?\nAnswer: 2\/4869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -2*k. Let h(i) = -33*i. Let o(p) = 22*p. Let c(q) = 5*h(q) + 7*o(q). Give c(v(f)).\nAnswer: 22*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 136 and 94?\nAnswer: 12784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5257821 or 5257822?\nAnswer: 5257821","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 240 = f. Let k = f + -39. Solve -5*j = -16 - k for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the first derivative of u**5\/5 - u**3\/3 - 10. Solve w(p) = 0 for p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 1, -40, -2 in decreasing order.\nAnswer: 5, 3, 1, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7516 + -90137\/12. Find the common denominator of m and -127\/12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-262*k**2 - 188*k**3 + 406*k**3 - 206*k**3)*(2*k**2 + 0*k**2 - 3*k**2).\nAnswer: -12*k**5 + 262*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(2 + (sqrt(1088) + (sqrt(1088) + -4)**2 - sqrt(1088))) + -5 + -4.\nAnswer: -2221 + 128*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*f + 2*f + 5*j + 17, -5 = -5*j. Let q(g) = -9*g + 27. Let l(n) = -5*n + 14. Let a(b) = f*l(b) + 6*q(b). Give a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0444 + -0.0556. Sort -4\/5, -5, 57, q in decreasing order.\nAnswer: 57, q, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4491677621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6372 to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 55146 * -0.1\nAnswer: -5514.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -0.3 (b) -0.4 (c) -44 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 15*q + 0 - 3 - 2. Suppose 2*x - 2 = 2*b, 18 = 2*x + 10. List the prime factors of a(b).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9*b**2*m**2*p**2 + 316*b**2*p**2 + b**2 - 152*b*m**2 - 2*b*m*p + 2*p + 5 wrt p?\nAnswer: -18*b**2*m**2 + 632*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/sqrt(1568))**2.\nAnswer: 1\/98","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30985086*q - 103*q**3 - 30985086*q - 383*q**3.\nAnswer: -486*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 16 - 22. Sort 2, m, -2, -4 in decreasing order.\nAnswer: 2, -2, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 - 1517433206?\nAnswer: -1517433210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 + 6*b - 24. Let a be w(3). What is the fourth biggest value in 11, -4, -0.2, a?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(((-282)\/(-20))\/47).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (((sqrt(204) - 2*sqrt(204)) + sqrt(204))*6)\/(sqrt(12) - (sqrt(96)*2)\/sqrt(8)))**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -34 + 49. Is 16 smaller than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 7880*v + 15776. Calculate k(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75)*5 - (sqrt(192) + (sqrt(45)\/sqrt(3))\/sqrt(5))) + -2.\nAnswer: -2 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 9*f = 0. Suppose 4*s + 0*p = -3*p + 326, f = -p + 2. Suppose 7*z + 10 = s. Put 4, 0, z in increasing order.\nAnswer: 0, 4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) be the first derivative of 39*l**5\/20 + 15*l**4\/4 + 47*l - 26. Let p(v) be the first derivative of c(v). Find the third derivative of p(g) wrt g.\nAnswer: 234","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.64 + -12901965?\nAnswer: -12901973.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -140 + 140 - 1882*s**3 + 1694*s**3.\nAnswer: -188*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(1900) + -2 - (sqrt(1900) - ((sqrt(1900)*-1)**2*-6 + sqrt(1900)))) + -2*((-2 + sqrt(1900))**2 + 4).\nAnswer: -15218 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 18015 = -2*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 6641796, -2 in ascending order.\nAnswer: -4, -2, 6641796","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -195 divided by 3\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, -2, -1, -66, 13 in descending order.\nAnswer: 13, 2, -1, -2, -5, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -350 - -526. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38\/5 - 36\/5. Let z = 0.5 - 0. What is the second biggest value in z, -4, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((3 + sqrt(2) + -1 - sqrt(10)\/(1*sqrt(5)))*-5 + 5 + 5)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:06 PM and 8:03 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 919*q - 4 + 15 - 3 - 7 - 1.\nAnswer: 919*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5837539?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 9320063 and 9320063 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) be the third derivative of 7\/24*r**4 - 17\/30*r**5 - 28*r**2 + 0*r**3 + 0*r + 0. What is the second derivative of b(d) wrt d?\nAnswer: -68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 12, -190, 3, -46, -5 in descending order.\nAnswer: 12, 5, 3, -5, -46, -190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-242)\/(-15) + (-6)\/45. What is the third derivative of 222*z**2 - 224*z**2 + h - 1 + 56*z**5 wrt z?\nAnswer: 3360*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:49 AM?\nAnswer: 7:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-18 - (-9 + -37)) - -13.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (10*9\/360)\/(70\/(-240))*-56?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/6 of a decade?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 177918 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*j**2 + 42*j - 9*j - 10*j - 23*j.\nAnswer: 95*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*a**2 + 40*a**2 - 6*a**2 + 6*a**2 + 0*a**2 - 3*a**2 + (-2 + 2 - a)*(0*a - 3*a + 2*a).\nAnswer: 35*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 370 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/7 (b) -0.08 (c) 0.4 (d) -4 (e) -0.4 (f) 38 (g) 3\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 111180 and 872.\nAnswer: 436","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + t - 655 = 0, -2*t + 332 = b + b. Let o be 2\/(-8) + (1 - 3\/4). Suppose -3*w - w - 2*u + 652 = o, -w + b = 5*u. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/6842 and -39\/107.\nAnswer: 732094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*q + 689*i - 695*i + 116 + 54, -5*i = 2*q - 143 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-3 - -7) - -15. Let g = t - -43. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -47. Which is the smallest value? (a) 4 (b) o (c) 0.1 (d) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - 2*z - 1. Let p(x) = 3*x + 3 + 20*x**2 + 5 + 12*x**2 - 48*x**2 + 15*x**2. Let g(h) = 2*n(h) - p(h). Calculate g(-7).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-2)*p\/((p\/p**(1\/2))\/p)*p*((p*p\/p**(-1\/10))\/p)\/(p*p**(-1))*(p*p**14*p*p**3)**49 assuming p is positive.\nAnswer: p**(4663\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by -17748?\nAnswer: 5\/5916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 32. Let j(g) = -g**3 - 11*g**2 - 18*g + 4. Let l(t) = -t. Let s(z) = -j(z) - l(z). Let w be s(-9). Is k(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 + 3*r**2 - r + 6. Let q be s(-6). Suppose x + 2*c - 294 = 3*x, 3*c + 274 = -2*x. Let w = q - x. Calculate the remainder when w is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -a**2*p**3 - 2*a**2*p**2 - a**2*r + 6*a*p**3*r + 10*a*p**2*r + 3*a*p**2 with respect to r.\nAnswer: -a**2 + 6*a*p**3 + 10*a*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -889*q**3*v + 2*q**3 - 2*q**2*v + 1501132*q - 77*v wrt v.\nAnswer: -889*q**3 - 2*q**2 - 77","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 660993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*h - 5*h + 994 - 491 - 494 in the form o + a*h and give a.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -0.61883?\nAnswer: 0.11883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4 - (-3 - 4\/4). Suppose -s*a + 7 = -33. Suppose a*h - h - 76 = 0. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1357 at least as big as -1938?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) 3\/14 (c) 3\/127 (d) -703\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 206, 411, 604, 779, 930, 1051?\n\"Answer: -l**3 + 212*l - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 1 + sqrt(396) + sqrt(396) + 0 + 4)**2 + (sqrt(110) - 2*(-2*sqrt(110) + sqrt(110)))\/(sqrt(120)\/(sqrt(24)\/sqrt(2))).\nAnswer: 3*sqrt(11) + 1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2394 and 252.\nAnswer: 4788","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 50823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -30, -365, 4, -4 in decreasing order.\nAnswer: 4, -2, -4, -6, -30, -365","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.06, -1\/2, 2\/11, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-2280)\/11475 + (-19)\/((-3876)\/36)\nAnswer: -1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 335452 + -10531?\nAnswer: 324521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.16? (a) -13 (b) 9 (c) 3 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 4*c = -3*m - 3, c = -3*m - 11. Suppose -c*h + 815 = 5*j - 1185, 25 = 5*h. Does 18 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -192.7 - -192.2. Which is the second biggest value? (a) o (b) -2\/3 (c) 64\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, -157520, 5\/11?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7890 and 157213510?\nAnswer: 2630","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - o = 122, -3*h - 4*o = 84 + 44. Let a(y) = 2*y + 81. Let v be a(h). Does v = -2\/607?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11765 is divided by 221?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z - 26. Let g(o) = -o**2 + 4. Let k be g(-5). Give r(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68 + 9*x**2 + 27 + 37.\nAnswer: 9*x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 3*v**2 + 5*v - 4. Let w be k(4). Suppose y - 24 - 14 = -i, w = -i + 3. Let f = y + -21. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q**2 - 3*q**2 + 3*q**2)*(-2*q + 2*q - q**3) + 3*q**5 - 19*q**5 - 6*q**5 - q**5 - 3*q**5 + 0*q**5.\nAnswer: -24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 3*s**2 - 11*s + 13. Let l(a) = 4*a**2 - 17*a + 19. Let n(b) = 7*c(b) - 5*l(b). What is the units digit of n(-9)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110211102 (base 3) in base 15?\nAnswer: 2b88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 + 230. Let g = -4.6 - -5. Let z = -5 + 9. What is the second biggest value in b, z, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 493 divided by 493\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 2*c**3 + 6*c**2 - 49*c - 240. What is j(-9)?\nAnswer: -771","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 5*i. Let z be l(4). Suppose 2*w = 20 - z. Let n be 2 + 28\/(-13) - 100\/(-650). Solve n = p + p - w for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 0, 3, -4, -1513, -1, -5 in ascending order.\nAnswer: -1513, -145, -5, -4, -1, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -10*r. Let d(h) = 35359*h + 1. Determine d(m(z)).\nAnswer: -353590*z + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 120 and 165.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 95*c - 23*c - 67*c - 5*c**3 - 4.\nAnswer: -5*c**3 + 5*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 4) in base 14?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3994268960?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -46756 times 0.61?\nAnswer: -28521.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10228 and 0.3.\nAnswer: -3068.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rxr when three letters picked without replacement from {a: 4, r: 2, k: 10, x: 1}.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n = 2*n + 1530. Let f = n + -103. Suppose -4*d + f + 36 = 0. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.21 + 61.79. What is the third smallest value in w, -3, -2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 67\/8 and -11\/2142490.\nAnswer: 8569960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -548 != -605?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 + 760*g**3 - 6570*g**2 + 19440*g - 19305.\nAnswer: -5*(g - 143)*(g - 3)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.5711884 millennia?\nAnswer: 571.1884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11\/(((-510)\/30)\/34)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/20273 and -39\/84778?\nAnswer: 932558","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 1172 = -3*s + 1273, 0 = 3*f - 6*s + 216 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.796975 to one dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n**2 + 3*n. Let h(s) = 16*s**2 + 10*s. Let w(x) = -10*g(x) + 3*h(x). Let i(a) = -8*a**2. Give i(w(b)).\nAnswer: -32*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -14? (a) -0.7 (b) -1 (c) -689 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-240))\/(74\/(-19536))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -4765.6, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -8*c**3 + 3*c**2 - 4*c - 2. Let f = 10 - 13. Is n(f) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from taeaatfeaafafg.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 415 and 332.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14.9067 and -24.7.\nAnswer: 368.19549","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 104?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of -102*i**6\/5 - i**4\/12 + 1687*i**3\/3 - 34*i**2 - 2*i + 1. What is the second derivative of r(t) wrt t?\nAnswer: -14688*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 5*s + 3. Let i(k) = k**2 - 14*k - 12. Suppose -5*p + 77 - 2 = 0. Let a be i(p). Suppose 0 = -4*x + 3*g - 0 + 1, -a*x + 3*g = -3. Calculate m(x).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4783 divided by -182\nAnswer: -4783\/182","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 447764188?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -2*m - 11. Let l be y(-9). Suppose l*u - 635 = 2*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4056 = 143*n + 481 for n.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 3. Let i(g) = 4*g + 12. Suppose 7 = 7*j - 147. Determine j*k(h) - 6*i(h).\nAnswer: -2*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 129 a factor of 2056913256?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 0 - 3 - 3*t**2 + 4*t**2 - 4*t. Let n be h(5). Is 1 - 1\/(n\/(-108)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 672545 and 2201.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 93632 and 1086528?\nAnswer: 1589590464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 7. What is the second smallest value in b, -4, 4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 105 divided by 6780?\nAnswer: 7\/452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15195223*j + 785244084 wrt j?\nAnswer: -15195223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 170216?\nAnswer: 2, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 13) to base 4.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1*-5*(-4 + (0 + sqrt(153) - sqrt(153))*-3))**2.\nAnswer: -1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 49061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the second derivative of -4225*b**2 + 0 - 271*b + 130\/3*b**3 - 1\/6*b**4. Solve m(r) = 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.1 - 0.1. Suppose 14 = -14*i + 12*i. Let k be 2\/(-16)*(i - -9). Sort -5, k, r in descending order.\nAnswer: r, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yk when two letters picked without replacement from ckccbyxybyyby?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1860?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9255248*v**3 + 6428603*v**2 - 1?\nAnswer: 55531488","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 - (5 + -1)) + 4. Let m(i) = 76*i**2 + i - 2. Let j be m(b). Let r be -6 - -2 - j\/1. What is r rounded to the nearest ten?\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 6*t**2 - 7*t + 10. Give w(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-52 - 4) + -159 + 208\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 73 = -3*c, -4*c - 12 + 2 = -k. Let g = -42 + -56. Calculate the least common multiple of g\/(-5) - 4\/(-10) and k.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5.89 + 0.51. Let f = 0.3 - -5.7. Let w = f - q. Which is smaller: w or 1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1446*s - 801*s - 645*s - 945 - s**2 in the form n + d*s + z*s**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 - 1. Let x = 8 + o. Is 12 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7*h**5*t + 205*h**3*t + 8*h**2*t + 206*h + t wrt h.\nAnswer: 420*h**2*t + 1230*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 850.735um to meters.\nAnswer: 0.000850735","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 85430721.6 milliseconds to weeks.\nAnswer: 0.1412545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 2 t, and 1 m when four letters picked without replacement from msbymtsbstsm.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 1)*(2*d + 3*d + 2*d).\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-53656)\/(-3530)*2\/8.\nAnswer: 19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the first derivative of -71*b**6\/360 + 4*b**4\/3 - 88*b**3 - 3. Let o(k) be the third derivative of i(k). Differentiate o(s) wrt s.\nAnswer: -142*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the third derivative of k**6\/120 - k**5\/30 - k**4\/2 + k**3\/3 - 129*k**2 + 2. What is q(4)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*c**5 - 19830*c**2 + 2*c + 5994 wrt c?\nAnswer: 180*c**3 - 39660","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 4*n + 3144 = 0, -5*o - 22*n + 23*n = -3934. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 44*d**3 - 533*d**2 + 691*d - 232. Let p(r) = -21*r**3 + 267*r**2 - 346*r + 116. Let f(k) = -6*m(k) - 13*p(k). Solve f(y) = 0.\nAnswer: 2\/3, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6509688*i**2 - 93017*i - 9?\nAnswer: -13019376","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10775\/8 + 1354. Suppose -127 = -3*k + b - 44, -2*k - 5*b + 61 = 0. Calculate the common denominator of (-3)\/6*-7*k\/42 and s.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 i when two letters picked without replacement from kkffknknifinfcnnn?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 2*d**3 - 2*d**2 + d + 1. Determine t(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -122 (base 3) to base 15.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, v: 7, j: 1, e: 2, r: 5}. What is prob of picking 1 e and 1 x?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*d - 4*n, -n - n = 10. Solve d = -5*s, 2*l + 4*s = -8 + 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 7\/(-10) + 1\/2. Which is the second biggest value? (a) 4 (b) z (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2 + 6*v + 7. Let n be h(7). Suppose c = 5*m - 25, 4 = -4*m - 2*c - 2*c. Which is greater: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*r - 5*f - 26, 4*f = -25*r + 21*r + 8 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22402 and 112010?\nAnswer: 112010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4586*y**2 - 7*y + 28. Let j(u) = -2293*u**2 + 3*u - 12. Let o(t) = 3*i(t) + 7*j(t). Let w(a) = 2*a. Determine w(o(r)).\nAnswer: -4586*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 PM and 5:35 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 70 and 4718?\nAnswer: 23590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 102\/(-18) + 6 - (-1)\/(-6).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**3 + 3*a**2 - a. Let i be s(2). Let v(d) = 5*d**2 - 2*d + d**i + 5*d - 3*d**2 + 1. Give v(-2).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14468 + 4 + (-2 - 3). Suppose t + 8682 = 7*q. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.08 in 279, 1, -8\/11, 4?\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the first derivative of 25*t**2\/2 + 45. Let b(o) = -2*o**2. Give b(d(y)).\nAnswer: -1250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of -4*a**5\/5 + 12*a - 2. Differentiate y(h) with respect to h.\nAnswer: -16*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(130) + sqrt(130)*1))\/(sqrt(120)\/(4*sqrt(12))))**2.\nAnswer: 20800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -7 + (-520)\/(-56) + 2\/(-7). Suppose 0 = n*g + 3*k - 1, 2*g + 10 = 6*g - 2*k. Suppose 2*p + 43 = 3*p - g*t, 3*p = -t + 94. Is p a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110001 (base 2) in base 5?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 24*f**3 + 2*f**4 - 7 - 11 + 145*f - 144*f - 32*f**3 in the form j*f**3 + u*f**4 + q*f**2 + a + r*f and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in p + 4*p - 3*p + 332*p**3.\nAnswer: 332*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3*(-1)\/6)\/(1\/(-38)). Suppose -z*i = -13*i + 3252. Round i to the nearest ten.\nAnswer: -540","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 25*z**2 + 2*z + 2. Let c be (6\/(-4))\/((-6)\/(-36)). Let u be 1*5\/(-15)*c. Is f(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3109*h**5*n - 2*h**2*n - 2899*h*n - 9*h + 2*n + 1 wrt h?\nAnswer: 62180*h**3*n - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/(-10))\/(113\/((-35030)\/(-1178))).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 175*y**2 - 3*y. Let s(h) = 33*h**2. What is g(s(j))?\nAnswer: 190575*j**4 - 99*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) 27 (b) 2\/3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 180733.\nAnswer: 7, 25819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = d + 11. Let y be c(-9). Suppose k - w + 23 - 103 = 0, 4*k - 335 = w. Suppose 31 = h - n - 13, -y*h - n + k = 0. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s - 1. Let f(m) = m**3 - 7*m**2 - 7*m - 11. Suppose -24 = -5*q + 16. Let v be f(q). Let h(z) = -5*z + 3. Determine v*h(a) - 8*n(a).\nAnswer: -a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**2 + 6*s + 9. What is the remainder when 32 is divided by w(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-9)*(-6)\/4. Suppose 0 = o + x*o. Let q(n) = n**2 + 8*n - 9. Let f be q(-9). Solve o = 5*g - p + 7, -g + p + 2 - 1 = f for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 6*c**3 - c**2 - c + 1. Let i be l(1). Suppose 0 = -0*m + m - i. Is m even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.023 - 76.336230377.\nAnswer: -76.359230377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, -0.1, 0.15, 5, -1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 36, -74, 5, 2, -145, -2 in descending order.\nAnswer: 36, 5, 2, -2, -74, -145","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 51923, 207668, 467241, 830642, 1297871?\n\"Answer: 51914*m**2 + 3*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176)*-1)\/sqrt(8) + (sqrt(22) - (sqrt(88)\/(sqrt(4)*1) + sqrt(22))))\/((-2*sqrt(484))\/sqrt(11)).\nAnswer: sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -172707*u**2. Let o(r) = -r. What is q(o(w))?\nAnswer: -172707*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 629603528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -34. Suppose y - 4 = -g, 3*g = 5*y - u + 4. Let s(b) = -3*b + 11. Let t(h) = h. Let a(l) = g*s(l) - 2*t(l). Calculate a(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i**3 + i**3 + 0*i**3)*(-19*i + 1 + 1 + 16*i) to f*i + a*i**4 + p*i**3 + o*i**2 + x and give a.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10*t + 5*t - 2*t)*(-t**2 - 9*t**2 + 2*t**2 + 3*t**2 - 2*t**2 + t**2 + (1 - 2*t - 1)*(-t + 2*t - 3*t)) as o*t**2 + c*t + k + f*t**3 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 253*g - 5665 = 283*g + 73*g for g.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*q + 3*j, 3*q + 6*j - j + 16 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 2\/5, -5, 3, -1\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 3:09 AM?\nAnswer: 9:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 PM and 4:54 AM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = -34\/298313?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.03 + -1.97. Let t = 0.2 - 1.2. Let q = -0.8 - t. Which is the nearest to 0.1? (a) p (b) -4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1972 is divided by 32.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-120)\/((-16)\/(-2)) + 142. Calculate the highest common factor of j and 3937.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 4 + 5 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-30 - -28) + 1*7. Suppose z*w - 2971 = 434. List the prime factors of w.\nAnswer: 3, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322 divided by -2.\nAnswer: -161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -0.171*4958.7\nAnswer: -847.9377","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 0*q + 5 = 0, 0 = 10*d + q - 107735. List the prime factors of d.\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 543406 - -4?\nAnswer: 543412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1023*q - 320*q - 327*q - 372*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12958487 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000012263 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 2. Let j be -2 + (6 - r*2). Solve -y - 1 = -j for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxno when four letters picked without replacement from {x: 4, n: 2, p: 2, i: 2, c: 7, o: 2}?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-1 + sqrt(833) + 0 - (sqrt(833) - (-2 + sqrt(833)*-2))) + 3 + (sqrt(833) - ((-2*sqrt(833) - sqrt(833)) + -5 - sqrt(833))))**2.\nAnswer: 210*sqrt(17) + 7517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3015 is divided by 137.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-22) - (-1295)\/77. Let q be m\/4 + (-3)\/12. What is the common denominator of 380\/(-96) - q\/6 and -97\/10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 94681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-6909)\/(-105) + (-4)\/(-20). Suppose a*k - 972 = 63*k. What is the greatest common factor of k and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 441221 is divided by 207?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 2*h + 3*u, -3*h - 3*u - u = -67. Suppose 9 = -5*i + h. Suppose -3*o - 2 = -i*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.3443825 to the nearest integer.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is 4930202.97ms in weeks?\nAnswer: 0.008151790625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 3*k + g + 1, 0 = -k - 4*g - 17. Let i = 93\/2 + -133\/3. Are k and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 - -13. Suppose -18*l - 3 = -a*l. Let s be 4 - (5 + l) - 2. Solve 3*j - 17 = -5*f, s*j = f + 4*j - 17 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the third derivative of -d**6\/30 + 7*d**5\/15 - 4*d**4\/3 - 32*d**3\/3 - 24*d**2. Factor v(k).\nAnswer: -4*(k - 4)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - -100401310140?\nAnswer: 100401310133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (39*m - 130*m + 15*m)*(3 - 1 - 3)*(-65*m**2 - 44*m**2 - 13*m**2).\nAnswer: -9272*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 19, -2 in decreasing order.\nAnswer: 19, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.31 and 41.4074.\nAnswer: 12.836294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d**2 + 4359885*d + 1089971 = 0.\nAnswer: -1089971, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4.9 (b) 15\/2 (c) 0.2 (d) 2\/9 (e) 0.16 (f) 0.12 (g) -0.5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -769 divided by -59?\nAnswer: 769\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14*(-10)\/307860)\/((-2)\/(-6)). Sort -4, k, 2 in decreasing order.\nAnswer: 2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25137941 by -25137941.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.075 less than 5895585?\nAnswer: 5895585.075","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 917171326 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: 216917008 divided by 14\nAnswer: 15494072","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-5)*(-5)\/(-2))\/((-6)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t = 17 - 29, 3*q - t = 581043. Is q 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 84999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*a = -20*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 334 + 8*v**3 - 6*v**3 - 331 - 16*v**2. Let a be r(8). What are the prime factors of ((-1)\/(1\/14))\/(a\/(-6))?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.163 (b) 3 (c) -65 (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -7 - (-31 - -80) - -87\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1071 - -1069. Let i(k) = -7*k**2 + 2. Let j(y) = 27*y**2 + y - 9. What is n*j(f) - 9*i(f)?\nAnswer: 9*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 101384901641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 153 = -14*q for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**3 + c**2 - 6*c - 5. Let b(a) = 2*a**3 + 4*a + 4. Let q(d) = 5*b(d) + 4*x(d). What is q(3)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 88\/(-154) - 961\/(-714) and 28\/17.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 19 - 3 = -3*g, 3*g + 1 = 2*h. Let u = 5 - g. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 2*q - 3. Suppose -3*l + 0*l - q*h + 26 = 0, -h = -2*l. Suppose 3*w + p = -l*w + 98, 80 = 5*w - 5*p. Does 10 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -48*((-160)\/3)\/5. Is 1 + u - 4\/(-3)*3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -138358 + 226565. List the prime factors of g.\nAnswer: 7, 12601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-8)\/(-4))\/((16\/(-100))\/(-2)). Solve 4*z = -2*q - 12, 0*q + z = 5*q - v for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 589597399 and 198.\nAnswer: 589597597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -400*d**3*l**2 - 10*d**2*l**2 + 96*l**2 wrt d.\nAnswer: -2400*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -453*t**2 + 5*t + 5. Let j(k) = -227*k**2 + 2*k + 2. Let x(s) = -7*j(s) + 3*v(s). Let h be x(1). What is the highest common divisor of 58 and h?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 27725 (base 9) to base 8\nAnswer: 44577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 63845.\nAnswer: 5, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppp. What is prob of picking 2 p?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -14095 + 23039. Suppose 4*n = 30*n - r. What is the hundreds digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-318*m + 869*m - 340*m)*(-2 - 1 + 5) + (-4*m + 2*m + m)*(3 + 0 - 1) - 2 + 2 - m - 14*m - 22*m + 9*m.\nAnswer: 392*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 19 - 27 = -5*k, k = 2*b - 30. Let z be 2 + 1 + 2 + -5. Suppose d - 53 + 11 = z. Calculate the highest common divisor of d and b.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003536 to 5 decimal places.\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7 + f - 2*f + 3 - 4. Give j(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3 - 2)\/((-1)\/(-2)). Let x be u + (-123)\/(-111) + -3. Let p = x + -197\/111. What is the smallest value in -0.2, -0.4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6083*c**2*o**3 + 18*c**2*o**2 - 7*c**2 + c*o**2 - 5*c*o + 2*o**5 wrt o.\nAnswer: -36498*c**2 + 120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f**3 - 27*f**2 - 20*f - 26. Let k(v) = -v + 9 + 3*v + 9*v**2 + 3*v**3 + 5*v. Let o(d) = 7*k(d) + 2*z(d). Let a be o(-8). Is 3 equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4785192?\nAnswer: 2, 3, 41, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 300 divide 13997857?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of t**8\/20160 - t**7\/720 - t**6\/144 + t**5\/60 + 3*t**2. Let d(c) be the third derivative of q(c). Is d(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - (-19 - -10)) + -1\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2 + 6)\/(-11 + (-80)\/(-8)). Let k = -1.82 + -0.18. What is the nearest to 2 in -2\/3, k, y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -410*k + 609 = -323*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/3*3*8\/(-144)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, g: 3, j: 3, p: 3}. Give prob of picking 2 g.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18958*r*s**2 + 58448*r*s - r wrt s?\nAnswer: -37916*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1086799873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.2 + -2.19967. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -159719 - -159718.08949. Let v = t + 0.91. Round v to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gajgapbtb. Give prob of picking 1 a and 1 p.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 794 + -77020\/97. Let b be (38 + 4)*1*-1. Let c be b\/(-28)*(-4)\/6. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -707341\/483462 - -1\/8953. What is the common denominator of -97\/1782 and j?\nAnswer: 1782","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = 22*w. Solve -5*l + 6 + 14 = w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13316 - 13303. Solve -11*h = 3*d - s*h + 25, 0 = -4*d - 2*h - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 15.06768066 to 1 dp.\nAnswer: 15.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 2*q = 4*f - 4, -4*f = -3*q - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00406636887 rounded to six dps?\nAnswer: 0.004066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 12418112*m. Let l(g) = -g. Give w(l(i)).\nAnswer: -12418112*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -4 - -4 - 3 - -83 - -4. Calculate the highest common factor of y and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -202.183 * -31.\nAnswer: 6267.673","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 7:04 PM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 163\/3612 and -83\/233352?\nAnswer: 10034136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.2 and 206558.715?\nAnswer: -41311.743","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47158746?\nAnswer: 2, 3, 7859791","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 5050327 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.5? (a) 1 (b) -26\/7 (c) -2\/79 (d) -1\/4 (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1464267 and 202713.\nAnswer: 1029","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1117 is divided by 112?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of m**3\/6 - 3*m**2\/2 - 2*m. Let o be y(5). Suppose o*k + 33 = 5*k. List the prime factors of k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11134141 (base 6) to base 2.\nAnswer: -1010010110011101101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 102*o**2*q**3 - 9202770*o**2 + 8356*o*q**4 wrt q.\nAnswer: 306*o**2*q**2 + 33424*o*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237700596?\nAnswer: 2, 3, 7, 17, 166457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*u - 21*u**2 + 2*u + 5*u**2 + u wrt u?\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q + 17. What is the least common multiple of 2 and m(-6)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 168974?\nAnswer: 2, 13, 67, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -8*a**2 - 3*a + 3*a**2 - 3*a + 6*a**2. Let p be r(6). Suppose p = 4*j + 43 - 811. Calculate the highest common divisor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4 = -x, 4*v = -5*x - 0*x + 9. Let g be x*158*(10\/4 + -3). Let n = -42 - g. Is n a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -62, -76, -88, -92, -82, -52, 4?\n\"Answer: h**3 - 5*h**2 - 6*h - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 56087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-252)*1)\/(12284\/(-396) + 31)?\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -156*x + 4048. What is y(26)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-30)\/(-9))\/(-2 - (-4)\/3). Let j be 1\/y + (-127292)\/(-110). Suppose j = 6*c + 83. List the prime factors of c.\nAnswer: 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(2\/3))**(-13)*(a*a**(-2\/5))\/(a\/a**(3\/8)) assuming a is positive.\nAnswer: a**(-1043\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13.9 + -13.4. Let b = -2\/731 - 1432\/10965. What is the closest to 11\/2 in n, b, 2\/19?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -8. Suppose -5*d = k*m - 30, 0*d = -2*d + 2*m + 8. Let z(u) = u**3 - 4*u**2 - 6*u + 7. Calculate z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 439800 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 (base 6) in base 4?\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -75.99959 - -76. Round q to four dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -628570, -1257138, -1885706?\n\"Answer: -628568*t - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*k + 315320*k**3 - 3*k + 0*k.\nAnswer: 315320*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 971 - 976. Let p(z) = 2*z**2 + 3. Let c(m) = -4*m**2 - 1 - 2 - 1 - 2. Determine k*p(t) - 3*c(t).\nAnswer: 2*t**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 296*c - 2.\nAnswer: 296*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 20100\/18*3 + 3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*-1*(-1 - -2). Let j = -20.3 + 16.3. What is the third biggest value in j, u, 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of 14*q**2 + 0*q**5 + 1\/120*q**6 + 0*q - 7\/12*q**4 + 0 + 0*q**3. What is the second derivative of t(s) wrt s?\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 339546.586826 + -339547. Let r = t - -0.4291. Let z = 0.016 - r. Round z to five dps.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h. Let r(k) = -2*k**2. Let s(q) = 43*q**2 - 87*q**2 + 43*q**2. Let x(u) = 2*r(u) - 2*s(u). Calculate x(l(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5569 - 4149. Is 59 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -135.55 + -0.3?\nAnswer: -135.85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the second derivative of 2*c**3\/3 + 3*c**2\/2 + 8*c - 1. Let j(t) = -4*t + t - 1 + 7*t + 5. What is 3*j(o) - 4*s(o)?\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39 and 27807?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 95. Let d be f(37). Suppose 37*t + 5*t**2 + d*t + t**2 - 3*t**2 + t = 0. Calculate t.\nAnswer: -18, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 9 + 3 = 0. Let h be 6\/(-2)*(-2)\/i. Let t = 5 + h. What is the smallest common multiple of 2 and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -225 and -734 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.3537 - 2.8567. Let a = g + -0.097. Round a to the nearest integer.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -78*s - 707*s + 39 - 128 - 165 - 2*s**2.\nAnswer: -2*s**2 - 785*s - 254","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -7938073 >= -7938075?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddd when four letters picked without replacement from {d: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 2*i**2 + 3*i. Let x be 1 - (8\/(-16) + (-17)\/2). Let a = x + -8. Let s(t) = -2 + 2*t - t + a. Calculate c(m) - 3*s(m).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 61 = 127. Let p = v - -495. Does 64 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-46)\/(((-228)\/112 + 2)*-2). Let z = -412 - c. What are the prime factors of z?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) be the second derivative of -y**4\/12 - 2*y**3\/3 + y**2\/2 + y. Let x be (8\/2)\/(1\/(-1)). Calculate t(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -164017047 or -164017049?\nAnswer: -164017049","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 - 1141 = 2*k + 2*h, -h + 1945 = -3*k. Let s = 958 + k. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(550) + (sqrt(550) - 2*sqrt(550)) + sqrt(550))\/(sqrt(44)\/(sqrt(16)\/sqrt(4))) - ((-1*sqrt(40))\/sqrt(10))\/((sqrt(2) - sqrt(2)*3)*5).\nAnswer: 49*sqrt(2)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 258134, 258095, 258058, 258023?\n\"Answer: r**2 - 42*r + 258175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n**2 + 0*n**2 - n**2)*(-4*n**2 + 0*n**2 + 2*n**2)*(-432 - 71 + 272) - 4 + 4*n**4 + 4 as c*n**3 + u*n + r + w*n**4 + q*n**2 and give w.\nAnswer: -920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16926?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 3\/4, -65 in decreasing order.\nAnswer: 3, 3\/4, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*j*k*r**2 - j*k + 3*j*r**3 + 2*j*r + 2*k*r - 576*r**3 - 2 wrt r.\nAnswer: 4*j*k + 18*j*r - 3456*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*q + 2*q - 5 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -20575*j**2*v**2 - j**2 + 710*j*v - 19*v wrt v?\nAnswer: -41150*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + s - 21. Determine o(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -5*d - 3*y + 30, 3*d - 17 = -y. Factor 5\/2*k**d + 0*k**2 - 7\/2*k**5 + k**3 + 0 + 0*k.\nAnswer: -k**3*(k - 1)*(7*k + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-248)\/18 + (-4)\/18. Let b be (-33)\/(-7) + (-4)\/g. Solve 3*d - b = 3*k - k, -5*k - 23 = 3*d for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:24 PM and 3:09 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k + 5*y = k - 1094 - 246, 0 = 5*k + 5*y + 215 for k.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-20)\/(-3 + 8))\/(3 + -13 + 5)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 131211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 3 q when four letters picked without replacement from {q: 12, j: 3}.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j + 426 = -0*j. Let v = j - -251. Calculate the greatest common divisor of 18 and v.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1334 (base 8) in base 16?\nAnswer: -2dc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 597263\/190 < 3143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*a**4 - a + a)*(-3 + 2 - 1) - a**4 + 3*a**4 - 5*a**4 + 3*a**3 - 3*a**3 + a**4 + 0 + 0 - 2*a**4.\nAnswer: -8*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7815 + -7810.093. What is r rounded to one decimal place?\nAnswer: 4.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1094*p**2*r**2 + 474*p**2 wrt r.\nAnswer: 2188*p**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4 - 4. Suppose 5*n - 19 = -z*f + 3*f, 5*f = -2*n - 11. Suppose 5*q = n*q + 9. Let a(o) = 2*o + 3. Let k(t) = 2*t + 4. Calculate q*a(d) - 2*k(d).\nAnswer: 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 26*n**2 + 32*n + 27. Is m(-17) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**5\/6 + 2*h**4 + 43*h**3\/6 + 10*h**2 + 14*h\/3 = 0.\nAnswer: -7, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 6, e: 4, x: 1, p: 1, z: 1}. Give prob of picking 1 l, 1 p, and 1 e.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -29327\/180 - -1492\/9. Let a = 13066 + -1084632\/83. Let r = a + 9353\/1328. Calculate the common denominator of r and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + -27. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1339 - 1339 + 2*r + 766*r**2.\nAnswer: 766*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-2)\/8640)\/(2\/33591). Let s = -7\/576 + c. Let m = -2017 + 8013\/4. What is the common denominator of s and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 2*i. Suppose -17*j = -3*v - 15*j + 7, -2*j = 5*v - 17. Let z(s) = -s. Determine v*z(m) - o(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:11 AM and 11:38 AM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + 10503?\nAnswer: 10507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2 - 8400*i + 8398.\nAnswer: 2*(i - 4199)*(i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -9. Let z = j + -3. Let v = -0.0742 - -0.2742. Put z, -0.2, v in increasing order.\nAnswer: -0.2, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7177, 6427, 5183, 3451, 1237, -1453, -4613, -8237?\nAnswer: -12319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 5*q + 36 = 0. Let a be (9\/4)\/(1 + 43\/(-44)). What is the greatest common divisor of q and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1110200 - 11?\nAnswer: 1110112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -6 - 0. Factor -26*l**4 + 12*l**a - 16 - 16*l + 5*l**3 - 28*l**4 + 50*l**4 + 3*l**3.\nAnswer: -4*(l - 2)**2*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + (-6*sqrt(36)\/(sqrt(12)*1) - (5 + -2 + sqrt(147))) + 4)**2.\nAnswer: -1533 + 156*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*r - 25961 = -32*r. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1908, 7632, 17048, 30054, 46548, 66428, 89592?\n\"Answer: -17*r**3 + 1948*r**2 - r - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, i: 3, n: 10, x: 1}. What is prob of sequence ix?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6 + 19. Let z = c + -11. Suppose 2*w + 4*q - 199 + 57 = 0, z*q + 166 = 2*w. Is w a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from fifjbbjffffbffbbabj.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3984*x**2 + 106*x - 106*x - 1832*x**2 - 1724*x**2.\nAnswer: 428*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 527 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -s - 9, s + 2*s = -5*h - 7. What is the fourth biggest value in h, -0.4, 0.3, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1.16 + -0.35. Let u = -0.31 + w. Let x = 1.76 - -0.24. Which is the closest to x? (a) 0.1 (b) u (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 22*w + 15. Let f be z(-13). Let r = f - -273. Solve 8*n = 6*n + r for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1619 - -1064. Let a = i - -552. Sort -5, 3, a, 5 in ascending order.\nAnswer: -5, a, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -24815*s**3 - 9*s**2 + 18. Let n(l) = -6204*l**3 - 2*l**2 + 4. Determine 9*n(g) - 2*t(g).\nAnswer: -6206*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(1\/4))**(-3\/4)\/((l*l*l**(2\/9))\/l**7)*(l*l**(2\/9)*l**(-3\/2))\/(l**4*l*l**(1\/5)) assuming l is positive.\nAnswer: l**(-71\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00002871 rounded to six decimal places?\nAnswer: 0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.652 - -0.852. Let d = -6 + 5.6. Which is the nearest to -0.01? (a) 0.4 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/(-18)*(-6534)\/(-1152) and -187\/30.\nAnswer: 1920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 5*v**2 + 9*v + 15. Let q(l) = -l**2 - l. Let x(y) = -i(y) - 6*q(y). What are the prime factors of x(10)?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -1\/3*i**3 + 0 + 4*i**2 - 1\/24*i**4 + 0*i. Determine n(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34670.5448 - 34674. Round g to one decimal place.\nAnswer: -3.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 divided by 1609121.\nAnswer: 33\/1609121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.06957880572 rounded to 4 decimal places?\nAnswer: -0.0696","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 47*f**2 + 8*f - 219*f**2 - 107*f**2 - 8*f.\nAnswer: -279*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1014*n + 120599. Calculate a(119).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1010010110110000101 (base 2) to base 14.\nAnswer: 8b941","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-7))\/((-18)\/27*-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = 2*v + 125 - 70, 3*c = -v + 22. Suppose g - 9 = -29. Calculate the remainder when 1\/4 + (-675)\/g is divided by c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1209422, -1209430, -1209464, -1209536, -1209658, -1209842?\n\"Answer: -2*l**3 - l**2 + 9*l - 1209428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tluu when four letters picked without replacement from {t: 1, u: 2, w: 1, l: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 7:04 PM?\nAnswer: 141","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1715664 (base 8) to base 3.\nAnswer: -221022222010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from lmmmu?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 2*b. Let h(m) = -5*m + 4. Calculate o(h(j)).\nAnswer: -10*j + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 21*i**2 + 2349*i + 23340. Give f(-10).\nAnswer: 1950","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -11*t**2 + 53*t + 12. Let f be a(5). Factor -1\/2*w**f + 0 - 1\/4*w.\nAnswer: -w*(2*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 516*p**2 + 1075*p**2 - 323*p**2 + 239*p**2.\nAnswer: 1507*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 21703095163 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 42*y - 43*y. Let c(q) = 8*q**3 - q**2 - 2*q + 3. Let a be c(y). Suppose -27*v + 31*v = a. Is 7 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.01, -3, 4, -1\/5, -4?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -169292 divided by 7.\nAnswer: -169292\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 98586706?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 312378.3 rounded to the nearest ten thousand?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 812 less than or equal to 811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 733325 divided by -733325\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 + 81 + 3 = -50*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14213*x = 138330 + 145930 for x.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 8*g - 7*g. Let a = 4 - g. Let j = a + 35. Is 14 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3776 + 0.8776. What is the fourth smallest value in 16, -1\/3, 1.6, o?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 426? (a) 0.3 (b) 2\/11 (c) 2 (d) 13 (e) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) - (sqrt(156) - (1*sqrt(156) - sqrt(156) - sqrt(156) - sqrt(156)) - sqrt(156)))*3*3*6)\/(4*sqrt(24)\/sqrt(2) - -4*sqrt(24)\/sqrt(2)).\nAnswer: -27*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**5\/5 + 8*z**4 + 2*z**3\/3 - 48*z**2 + 1681*z. Factor p(b).\nAnswer: -4*(b - 24)*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -148 and -11.7.\nAnswer: -159.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*((-41)\/(-20) - 2)*4. Sort a, -5, 1\/11 in ascending order.\nAnswer: -5, a, 1\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of -2*f**3\/3 - 3*f**2 + 5. Find the second derivative of s(l) wrt l.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14340739.\nAnswer: 7, 2048677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 1)*(-8)\/10. Suppose l = y - l - 2, 10 = 5*y - c*l. Let x be 28\/7*3\/4. Which is smaller: x or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -p - 3*p + 0*p. Let k(g) = g**2 - 3*g. Let a(t) = -2*t**2 + 7*t. Let l(f) = 3*a(f) + 7*k(f). Determine d(l(n)).\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 39 = -71. Let f = -52 - w. Solve 5*z = m - 6*m + 40, -f*m + 29 = 4*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 570*l + 3604*l**2 - 570*l + (0 - 2*l + 0)*(-4*l + 5*l + 0*l).\nAnswer: 3602*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/11112 and 11\/111120?\nAnswer: 111120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 4 + 28 = 0. Is z at least 24?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11492 and 367999.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (8\/24)\/(1\/(-2403)). Let s = j - -1763. What is the hundreds digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -32.9.\nAnswer: -131.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 65 + 2493*s - 31 + 2104*s - 34 as c*s + x and give c.\nAnswer: 4597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 6 + (-3 - (-1 - -3)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -86555, -173123, -259707, -346307, -432923, -519555?\nAnswer: -606203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve j**2 + 62779117*j = 0.\nAnswer: -62779117, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -333 + 445. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257709 divided by 148?\nAnswer: 257709\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2342 + -2340. Let v = -1 - -3. Solve -4*m + v = -x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -20*x**3 - 19*x**2 + 6*x + 4. What are the prime factors of j(-5)?\nAnswer: 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 82773.36ug in milligrams?\nAnswer: 82.77336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 3*k = -4*k + 5, 5*j + 2*k = -8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -b + 1247*b**4 + 6 + 5*b**3 - 4*b**3 + 9*b**2 - 618*b**4 - 621*b**4 in the form z + c*b**3 + x*b**4 + a*b**2 + n*b and give z.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 1, d: 1, o: 1}. Give prob of sequence od.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 122 + -118. What is the closest to -19 in -3\/2, 1\/2, n?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2336273.\nAnswer: 577, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 times 2217?\nAnswer: -11085","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 717349, 1434395, 2151441, 2868487, 3585533, 4302579?\n\"Answer: 717046*y + 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -424525?\nAnswer: 424534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 913 is divided by 77.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/i*i*i*i)**(1\/3)\/(i\/((((i\/(i*i\/(i**(1\/3)*i)*i))\/i)\/i)\/i))**(5\/2) assuming i is positive.\nAnswer: i**(-32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 64855426 and 4472788?\nAnswer: 129710852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1c4 + -c?\nAnswer: 1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.23 - 0.23. Suppose -3*u = -3*g - 4 - 8, -2*g - 12 = -3*u. What is the third biggest value in -7, f, u?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -80*p + 2043. Is j(23) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 4*s + 39. Round s to 0 decimal places.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*g + 15, 3*q = -2*q + g - 10 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*-4.67.\nAnswer: -9.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 4*t - 3. Let w = -27.92 + 31.92. Let x = -4 + 3. Sort t, w, x.\nAnswer: t, x, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14 - 26) + (9 - (-2 - (-4 - 4)))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q + q - 24. What is the highest common divisor of q and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8935577 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of w**6\/15 - 5*w**4\/12 + 2*w. Find the third derivative of j(d) wrt d.\nAnswer: 48*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 7)*(4*x + 2*x - 5*x)*(885 + 370 - 400)*(-3 + 3 - 1) - 4*x + 6*x - x + 2*x - 6*x + 3*x + (1 - 3 + 0)*(-2*x + x + 0*x).\nAnswer: -2563*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*s - 17*s - 29905 = -3*b, 5*s = 2*b - 19954. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/19 in -446, -2\/21, -1, 12, 3, -53?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 566287.9 centuries in decades?\nAnswer: 5662879","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -2 - 7. Let g be 1*-1*1\/1. Let k be 35\/28*(3 + 1). Sort k, p, g in ascending order.\nAnswer: p, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.068055*-621.\nAnswer: 42.262155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11013 is divided by 200?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*i + b + 2 = 65*i, i - 14*b = 88 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + 1120?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**3 - 24 + 66*h - 86*h + 48*h.\nAnswer: -4*(h - 2)*(h - 1)*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(2 + 1*(0 + (sqrt(275) - (sqrt(275) - (sqrt(275) - (sqrt(275) + 1*sqrt(275) + sqrt(275) + 4))**2)) + -4) + 5).\nAnswer: -4476 - 320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 3*i. Let n(a) = -33224*a. What is n(z(m))?\nAnswer: -99672*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 13\/4 of a kilometer?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 + 5. Let o be 0 + (0 - (-12)\/b). Suppose o*u = -u + 96. What is the tens digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -159 = -11*q + 6. Suppose 0*m = 4*m + 4*s - 108, q = m - 5*s. Solve -3*b - 2*o - 1 = 18, 5*o = -m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -8, 30, 3, -1, 7 in increasing order.\nAnswer: -8, -5, -1, 3, 7, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = 16*p - 12673. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -344, -352, -366, -386?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 + 8*t**2 - 138*t + 46. Let v be w(-15). Solve 537 = -o + v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -63*a + 888 = -175*a - 110*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2, 23, 48, 73, 98?\n\"Answer: 25*a - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -7*o**2 + 50*o + 187. Let c(u) = -4*u**2 + 25*u + 94. Let y(g) = -3*b(g) + 5*c(g). What is the tens digit of y(39)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*j + 17*j - 184 = -4*s, -3*s - 3*j + 84 = 0 for s.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 86, -2.3, -24\/11, -131, -4?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2007 + -28115\/14. What is the common denominator of y and ((-161)\/16)\/(1 - -1) + 2?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49156885 times 4?\nAnswer: 196627540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-644)\/(-8) - (-3)\/(-6). Suppose -c = -3*j - 20. What is the remainder when j is divided by 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8910 + -9033. Let f be 2 - -127 - 1\/1. Let i = s + f. Solve i*u = 5*v + 40, 2*u + v + 1 = 8 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 12897*n. Let z(f) = 7725*f**2. Determine z(d(p)).\nAnswer: 1284919404525*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -100605 (base 7) to base 14\nAnswer: -633c","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 - 5*f**2 + 2*f**2 + (2 + 2 - 2)*(-198*f**2 - 2780*f + 2780*f) + 2*f**2 - f**2 + 0*f**2 - 1.\nAnswer: -400*f**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 0.9. Which is the closest to -1? (a) 3\/5 (b) p (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 3\/227, -32 in ascending order.\nAnswer: -32, 3\/227, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -140950 by 5.\nAnswer: -28190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 30130171?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that -7*w**3\/3 - 211*w**2\/3 + 4648*w\/3 + 141904\/3 = 0.\nAnswer: -28, 181\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 - 9*r**2 - 2*r + 28. Let m be v(9). Suppose 0 = -2*s - m, -2*n + 5*s = -157 - 280. What are the prime factors of n?\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 607 and 341741.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/4, -4, 2, 0.3, -11708, 0.5, 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/9 + 10068122*k\/3 - 10068120.\nAnswer: -2*(k - 15102180)*(k - 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 464 and 18192?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -157*h = -602*h - 99*h - 20672 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -39 - ((-598075)\/(-325))\/(-47)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 34\/((-27540)\/(-729))*(-52)\/(-18).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54372?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -97*b**2 + 1. Let z(t) = 9*t**2. What is z(l(f))?\nAnswer: 84681*f**4 - 1746*f**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.04908 and -0.5.\nAnswer: -0.54908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -x**4 - 2*x**4 + x**4 + (889*x**3 - 162*x**3 + 19*x**3)*(-x + 1 - 1).\nAnswer: -748*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5 - 7. Let u(d) = 2*d**2 + 4*d + 2. Let r be u(b). Let i(m) = -m**3 + 5 - 14 + 7*m + 5*m**r - m. What is i(6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93098305607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = q + 10, -22*q + 20*q - 6 = n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 10\/12 - 1\/3. Let z = -386488 + 386488. What is x in -3\/4*x**2 + 1\/4*x**3 + u*x + z = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1673735 from 109.\nAnswer: 1673844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4019, -4384, -4749?\nAnswer: -5114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 8811633*i - 22326301?\nAnswer: 8811633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -84.75063 rounded to one dp?\nAnswer: -84.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 3. Let y be u(5). Find the common denominator of ((-10)\/(-6))\/(y\/(-51)) and (-7)\/(-28) - 333\/(-84).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in -9\/16, 18541, -3\/2?\nAnswer: -9\/16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d + 3. Let t(y) = -y - 3. Let k(i) = -4*h(i) - 3*t(i). Let w be k(4). Let g = 22 + w. Solve g = 5*p + 5*s, 0 = 5*s + 5 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m, 1 x, and 1 j when four letters picked without replacement from rmjmggrgxmxggrmr?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -108058, -108057, -108054, -108049, -108042, -108033, -108022?\nAnswer: -108009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 867053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*i*n**2*o + 24001*i*n**2 + 3*i*n*o**2 - 2*i*n*o + 8*n**2*o**2 + n**2 + 29151*n*o**2 wrt o?\nAnswer: 6*i*n + 16*n**2 + 58302*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 91 and 17355.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18370?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*5*-5)**2.\nAnswer: 831875","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**9\/756 - s**8\/140 + 2*s**6\/45 - 7*s**3\/3 - 5. Let w(l) be the third derivative of u(l). Let w(i) = 0. What is i?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/68 and -23\/1088.\nAnswer: 1088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (0 + -6)*((-22875)\/250 - -95) - 6\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20377655?\nAnswer: 5, 23, 79, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 31b268 (base 15) in base 4?\nAnswer: 21001233113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4887950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9.6*2.0865.\nAnswer: 20.0304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2142\/83915 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 7*l + 7. Let i be u(-3). Let m = i + 13. Which is smaller: m or -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -2*n**2 - 9 + 9. Let b(d) be the first derivative of 5*d**4\/12 + 8*d - 2. Let q(k) be the first derivative of b(k). Give q(t(x)).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 d when four letters picked without replacement from dddodddododddddodd.\nAnswer: 91\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (20 + 61\/(-3))*0\/(-2). Solve w = -3*f + 7*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 35*r**2 + 285*r + 0 - 574*r - 4 + r**3 + 288*r + 6*r**2 as p*r**2 + w*r + d + z*r**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -0.01+13211.64627\nAnswer: 13211.63627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 3*t**3 - 13*t**2 - 15*t + 13. Let s(p) = 2*p**3 - 6*p**2 - 7*p + 6. What is -6*d(j) + 13*s(j)?\nAnswer: 8*j**3 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15 + 10)\/(2 - (-1 + (-40)\/(-15)))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20? (a) 0.41 (b) -1 (c) 16 (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0.7*-961\nAnswer: -672.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:27 PM and 7:56 PM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -2*h - 32 + 30 - h. Give d(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 12, c: 3}. Give prob of sequence zc.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 2 = 2*y, -3*z - 1 = -6*z - 5*y. Let p be (5\/(-2))\/(z\/((-18)\/(-3))). Suppose 0 = 2*c - p*c + 42. Is c even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. Give prob of sequence zzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**2 + 2*m**2 - 3*m**2 + (5*m - 2*m - 4*m)*(-2*m + 3*m + 2*m) - 3*m**2 + 15*m**2 + 44*m**2.\nAnswer: 57*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*v - 2*v + 5*v + m + 62 = 0, 12 = 7*v + 5*m - 50 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 2*f + 54 + 9, l + 2*f - 43 = 0. Calculate the remainder when 209 is divided by l.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2464*c - 2484*c - 18690 + 80150. What is the hundreds digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1728) - -6*(sqrt(1728) + -1*sqrt(1728)) - -2*sqrt(1728)*1)\/(-4*((-1*sqrt(180))\/sqrt(4))\/sqrt(5)*4).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8797.63 + 8863. Let z = -65 + t. Let k = 0.07 - z. Which is the closest to 1? (a) 0.2 (b) -5 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 3*q - 16, 4*q - 8 = -2*l. Let o(d) = 13*d + 13. Let f(s) = 6*s + 6. Let x(y) = l*o(y) + 9*f(y). What is the first derivative of x(h) wrt h?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) 1\/72192 (c) 0.1 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k + 2*k - 7*k + 10*k - 30. Let z be o(14). Is 1\/2 + (-15)\/z a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = 2*m - b - 145, -2*b + 331 = 5*m. Suppose -m = -2*w - 241. Let l = w - -178. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.3 or -19304?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.68 - -0.32. Which is the closest to p? (a) -0.4 (b) -4 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 25*n + 14 + 45*n**3 + 13*n - 15*n**2 - 70*n**3 + 24*n**3. Determine r(-17).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 53*c**3 - 2*c - 1. Is u(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2755 + -1?\nAnswer: -2756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(375) - -5*sqrt(375)*1)\/((sqrt(45) + -5*sqrt(135)\/sqrt(3))\/sqrt(9)).\nAnswer: -15*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 20*r**2 + 271*r + 544. Let l be p(-2). Calculate the highest common factor of l and 656.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115 minutes before 7:53 PM?\nAnswer: 5:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1098.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**2\/3 - 24248*u\/3 - 36747844\/3 = 0. What is u?\nAnswer: -3031","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 4*x**2 - x. Let f be v(1). Suppose -2*p - 7 = -m, 3*p = -0*p + 4*m - f. What is the second biggest value in -2\/7, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 3 = 5*r, -2*r = -3*r + w + 1. Suppose 5*n - 35 = -5*z, 5*n - 5*z + 3*z - 21 = r. Let h be 25\/n - (1 - -1). Solve 0 = h*g - 2*g + 4 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 3)*(4*b**3 - 3*b**3 - 2*b**3) + (0 + 2 + 0)*(-35329450 - 2991*b**3 + 35329450) as a*b**3 + s*b**2 + g*b + z and give a.\nAnswer: -5985","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q*q**(16\/5))\/q**(-17\/4))\/((q**(-9\/4)\/q)\/q*q**(-18\/7)))**(24\/5) assuming q is positive.\nAnswer: q**(12828\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1345 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 536294 to the nearest integer?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h - 38 + 34 = 0. Let p(d) = 617*d + 3. Let l be p(h). Suppose 0 = w - l + 6720. Round w to the nearest 1000.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43.1 + -45. Suppose -2*d - 36 + 63 = 5*y, -2*y = 2*d - 6. Which is the third biggest value? (a) d (b) g (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -18*m + 1. Let b be p(-1). Let a be (-10)\/7*(-350)\/125. Find the second derivative of -5*r**a + 26*r - b*r - 1 + 1 wrt r.\nAnswer: -60*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 + -3 + 1 - 1. Let m = 13 - 23. Is u > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214006254 (base 7) to base 16\nAnswer: c3b550","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42619?\nAnswer: 17, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3\/(k\/(k*(k**(1\/8)\/k)\/k*k*k))*k*k**(-6)*k**(-1))**(11\/3) assuming k is positive.\nAnswer: k**(-253\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -2\/45, -5, 0.2, -1324, -3\/8?\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*v - 22 - 8. What is the nearest to 2\/11 in -3, 1\/4, v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 3. Let m be o(3). Suppose 4*l - 429 - 103 = m. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 + 2 + -4)*-5. Suppose 3*x = b*c + 164, -3*c + 204 = 4*x - x. What are the prime factors of x?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:03 PM and 9:38 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h = 12*c - 7*c + 15, 3*c = 6*h + 36 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1500096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 24.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(72) + -2 + -4*(sqrt(18)\/sqrt(9) + sqrt(2)))*-5)**2.\nAnswer: -300 - 200*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8485635 millennia in centuries?\nAnswer: 8.485635","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 5*c**4 - 6210*c**3 + 2218905*c**2 - 180524700*c + 4225324500 = 0.\nAnswer: 51, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 195696524 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/(-18)*((-450)\/(-20))\/15.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -5*a + 3. Suppose o = 3*t - 37, 3*t - 6 - 34 = 4*o. Suppose -12 = -5*l + 6*l + 2*c, -3*c = t. Let n(h) = -6*h + 4. Give l*n(r) + 5*d(r).\nAnswer: -r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) -1\/2 (b) 0.2 (c) 6\/5 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 13\/5 of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**3 + 32*x**3 - 12*x**3 + (-13 + 13 - 4*x**2)*(-1 + 6 + 3*x - x) to the form s + h*x**3 + i*x**2 + n*x and give h.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 6, -1, -2, 45 in increasing order.\nAnswer: -3, -2, -1, 6, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 9 = 5*w, -8*w + 25 = -3*v + 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 696.8 * 0.8.\nAnswer: 557.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*d - 30 + 24 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15994?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -11, -49, -133, -281, -511, -841?\n\"Answer: -3*q**3 - 5*q**2 - 2*q - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 128762 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -432065, -432011, -431919, -431789, -431621?\n\"Answer: 19*n**2 - 3*n - 432081","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 202294655 a multiple of 4217?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 4*o = 220. Is 11 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*h - 2*h - r - 2, 1424*h = 1425*h - 118*r - 252 for h.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-168)\/(-126)*-36)\/(15\/15)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95.095 + -0.095. Let q = 94.99999943 - h. What is q rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 973795 is divided by 486818.\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 - 42. Let m(b) = -b. Calculate m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u - 7. Determine o(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4 - -102?\nAnswer: a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -17*u**3 + 2*u**2 - 19*u + 18. Let s(d) = -5*d**3 + d**2 - 7*d + 6. Give 2*a(h) - 7*s(h).\nAnswer: h**3 - 3*h**2 + 11*h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 9*d**2 + 23*d. Let x(a) = -5*a**2 - 12*a. Let j(p) = 4*h(p) + 7*x(p). Suppose 7*m = 8*m + 8. Let f be j(m). Solve f*z = -z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 1608 = 20*f. Let j = 157 + f. What is the tens digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17553377 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 500*k - 333994*k**2 - 104*k - 23*k + 231*k + 333996*k**2 + 45602.\nAnswer: 2*(k + 151)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -752 by 589.\nAnswer: -752\/589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -35*u - 494. What is the tens digit of g(-18)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -32 or -604\/19?\nAnswer: -604\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*v + 106 + 182, 572 = 2*w - 7*v. What is the remainder when w is divided by 69?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 17*d. Calculate i(3).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 120515641.16 - 2829778.16. Let v = 117685821.00000098 - o. Let k = 42 + v. Round k to seven dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24000 rounded to the nearest 10000?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (57\/(-190))\/(12\/10). Which is the closest to s? (a) -5 (b) 5 (c) -4 (d) 3\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**2 + 335*q - 337*q - 3*q**2 + 0*q**2 - 3*q**4 - 63*q**3 + 34*q**3 as n + u*q + m*q**3 + p*q**4 + t*q**2 and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:52 AM and 10:22 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 12307655119 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (2*sqrt(264)*3 - sqrt(264))\/(3*sqrt(96))*6.\nAnswer: 4 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.862893 rounded to 1 decimal place?\nAnswer: 78.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -k**5 + 3*k**5 - 4*k**5 + (-3*k**2 - 70*k**2 - 94*k**2)*(2 - 2 + k**3).\nAnswer: -169*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(256)*-2)\/((sqrt(200) + sqrt(200) + sqrt(200) + sqrt(200)*-1 + sqrt(200) - sqrt(200)) + sqrt(200) + sqrt(8)))**2.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15\/62 - -149\/744. Which is the third biggest value? (a) 0.4 (b) w (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1309 and 3740?\nAnswer: 26180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*j - 532 + 0 = 0, 57*g - 27*g = 28*g + 3*j + 118 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3267594 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -2*a. Let z(v) be the third derivative of 5*v**4\/24 - 13*v**3\/6 + 3*v**2. Let b(d) = d - 3. Let n(g) = 26*b(g) - 6*z(g). Give n(p(u)).\nAnswer: 8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -80973 + 6.4674\nAnswer: -80966.5326","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -39, -97, -149, -195, -235?\nAnswer: -269","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -33*x**2 + 156*x - 43. Let g(p) = -13*p**2 + 66*p - 17. Determine 12*g(l) - 5*n(l).\nAnswer: 9*l**2 + 12*l + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 11*i**3 - 43*i**2 + 214*i - 7443. Is a(58) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 + 15. Let j = 18 + -6. What is the remainder when k is divided by j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -21\/37, -3, 2\/35, -175.1 in increasing order.\nAnswer: -175.1, -3, -21\/37, 2\/35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**2 + 3*p + 83. Let q be w(11). Let a(u) = 6*u + 3. Let m(j) = 7*j + 4. What is q*a(y) + 4*m(y)?\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*i**2*o**2 + 3*i**2*o - 309*i**2 + 4*i*o**2 + 258*i wrt i.\nAnswer: -8*o**2 + 6*o - 618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 0.4, -33.63, -11.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1684\/15 or 2\/5?\nAnswer: 1684\/15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 9*m - 74. Determine u(8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/8*119756\/(-5945030)*2\/(-7)*2.\nAnswer: 2\/139","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 9:21 AM?\nAnswer: 1:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3\/(-2))\/(1\/2). Let n be 2 + (0 + 1)*p. Let a(r) be the second derivative of -5*r**3\/3 - r + 9. Give a(n).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m + 3*c = 17, -102 + 96 = -2*c for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7650 divided by -306?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 2*a - 3*r - 14, 2*r + 8 = 2*a. Suppose 5*y + 3*f - 37 = 0, -2*y + 2*f + 2*f = -20. Suppose 9*c - y = 8*c. Solve c*b = 3*b - a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 291 + -287. Suppose -5*z + 10 = -o*v, 0 = -3*z - 29 + 35. Factor -1\/7*k**2 + v*k + 1\/7*k**3 + 0.\nAnswer: k**2*(k - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 5. Let b be y(0). Suppose -2*n - 3*d + 5 - 3 = 0, -10 = b*d. Solve -2*t + 5*x = -9, -6*x = -2*t - n*x + 6 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 46*b**2 - 2700*b - 911250. Let i(a) = 38*a**2 - 2700*a - 911250. Let g(x) = 6*i(x) - 5*y(x). Factor g(d).\nAnswer: -2*(d + 675)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119\/(-42) + (-9)\/4*-2?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8921321 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/4 less than -0.2840678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z**3 - 11*z**3 + 2*z**3)*(-z + 2*z - 3*z)*(-109*z + 0*z - 39*z).\nAnswer: -2664*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 2 (b) 1\/5 (c) 0.03 (d) 24\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*h - 20 - 2*h + 31 + (-6*h + 6*h - 5*h)*(2 - 3 + 0) + 2*h + 4*h - 4*h)*(10 + 0 - 1) in the form y + x*h and give x.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 363697469 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 51 = -2*g + 31, 0 = r + 3*g - 28. Suppose 4*b - r = b + 2*t, 5*b - 4*t = 33. Suppose -11 - 4 = b*a. Which is bigger: a or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 3. Let j be 0\/(1 + (2 - k)). Suppose -4*u = -j*u - 24. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by -94.\nAnswer: 3\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-100)\/(-20)*(-2)\/3*-3\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4970*q - 202*q**2 - 4970*q + (-2 - 2 + 5)*(-3*q**2 + q - q) to x*q**2 + i*q + b and give x.\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**22*i*i**(-25))\/(i\/(i*i**(4\/13)*i*i*i)*((i\/(i*i**(1\/4)\/i))\/i)\/i) assuming i is positive.\nAnswer: i**(133\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of j**4 - 3734*j**3 - 15*j**2 + 335433.\nAnswer: 4*j**3 - 11202*j**2 - 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 37 + -5?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzx when three letters picked without replacement from {d: 1, z: 9, v: 1, x: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34.19 - 34. What is z rounded to 1 decimal place?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-471*y**3 - 720*y**3 - 402*y**3)*(1 - 1 + 2*y)*(2*y + 2*y - 2*y).\nAnswer: -6372*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 111101010 (base 3) to base 7\nAnswer: 40266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304537*q**2 - 304122*q**2 + 609119*q**2.\nAnswer: 460*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 30*s**2 - 2*s + 3. Let h be x(1). Suppose o + o = 2*i + 4, 0 = 5*o + 2*i - h. Solve 2*j - 7 = 3*z, -2*z + 29 = 2*z + o*j for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42.2 + -315.2. Let k = -272.9697 - f. What is k rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:20 PM and 11:10 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/94? (a) 0.3 (b) -0.5 (c) -41046\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -82103 or -82111?\nAnswer: -82103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = 3*f + 3, 36*r - 38*r + 5*f = 9 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**3 + 0*d**3 + 2*d**3)*(7*d**2 - 1 + 1).\nAnswer: -14*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x - x + 47 = 3*s, -1358*x - 159*x + 6029 = -3*s for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of m**3 - 188914 + 195937 + m**3 - 393*m**4 wrt m?\nAnswer: -1572*m**3 + 6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmu. Give prob of picking 1 m and 1 u.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 165*p**2 - p - 1. Let x be l(-1). Suppose -7*q + 2*q = -x. Let g = q + 22. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14893 and 8149?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -2)\/(0 - 2). Let p(j) = j - 6. Let u be p(8). Let i = h + u. Calculate the highest common factor of 12 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -15\/22474199?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 6. Suppose -3*r + 2 = 4*f - 19, f = 5*r - 12. Suppose f*o - 6 = h - 4*h, 4*o + 3*h = 6. Give s(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -2*k**2 - 148 + 52*k**2 - k + 70 + 82. Is f(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**3 + 7*o**2 - 10*o - 4. Is 8 a factor of i(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange u**2 - 8 + 9*u**3 - 2*u - 5 - 11*u**3 to o + w*u + v*u**2 + r*u**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + -6*-6*(sqrt(1900) + -1)*-6 + -2 + 4 + (0 + sqrt(1900))*4)**2.\nAnswer: -920080*sqrt(19) + 85440689","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 966792 and 2255848?\nAnswer: 6767544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4677709 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 27*o**2 - o - 71. Is c(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4*(-4)\/(-184) - 1990755\/(-115) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3989 - 1.5\nAnswer: 3987.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -19 + 19 - t**3 - 6*t**4 + t - 4*t**4 to the form w*t**4 + f*t + y + c*t**2 + b*t**3 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 0 (c) 452254 (d) 27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78 = 39*h - 26*h for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2735 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -58\/605 and -21\/118?\nAnswer: 71390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -729053 or -729054?\nAnswer: -729054","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*w**4\/7 + 66288*w**3\/7 - 52985856*w**2 + 7434878976*w = 0. What is w?\nAnswer: 0, 144, 10976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 3*b = b + 25, -4*v - 8 = -4*b. Suppose 12 = -0*f + v*f. Solve 2*c + 4*m + 10 = 0, f*m + 14 = 2*c - 0*m for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/33*105\/35. What is the biggest value in u, 3\/5, -1\/2, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -a**2 - 9*a - 1. Let u be -3 + -2 + -2 + 3. What is the tens digit of o(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-1 - 1 - 1). Suppose -3*i + 5 = -p. What is the greatest common factor of i and 36?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 69, 1\/4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/((399\/(-19))\/(-174153)) a multiple of 85?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*1*sqrt(1216) + 3*(sqrt(1216) + 0))*-1 + 2 + -4*(-1 + (sqrt(1216) - -2*sqrt(1216))))*1.\nAnswer: -136*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1840862 divided by -1867?\nAnswer: -986","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 168 and 7558728?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -16*f**2 + 5*f + 35. Let x(k) = 1. Let l(j) = j + 2. Let h be l(-8). Let m(r) = h*x(r) - i(r). Let b(n) = -3*n**2 + n + 8. Give -11*b(c) - 2*m(c).\nAnswer: c**2 - c - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-192)\/(-60))\/(-8)*-6*90\/12?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 2*l - 3*l - 41 + 44 + l**2. Let n = -9 + 15. Suppose 4*p - n = 2. Let m(o) = 1. Give p*w(z) - 5*m(z).\nAnswer: 2*z**2 - 2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -688+6.33\nAnswer: -681.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29707618?\nAnswer: 2, 14853809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24800 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, 7, -16 in ascending order.\nAnswer: -25, -16, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n. Let d(c) = -4*c**2 + 8*c. Let j(f) = -d(f) - t(f). Find the second derivative of j(i) wrt i.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = 4*j + 26, 19 = -3*j - 4*p - 7. Suppose -13 + 31 = 2*b. Calculate the remainder when 3\/(3 + j - (-78)\/25) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1159*n + 1343281 + 1\/4*n**2 = 0.\nAnswer: -2318","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u*u\/(u**5*u))\/u**(2\/5))\/(u*u**(-1))**(1\/32))**12)**(-38) assuming u is positive.\nAnswer: u**(10032\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/300196 and 51\/11.\nAnswer: 3302156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of 1001*h**2\/2 - 281. Let i(u) = -2*u**2. Give i(m(w)).\nAnswer: -2004002*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -2016 (base 9) to base 8\nAnswer: -2701","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 3895*g + 327. Is k(4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -3*d. Let x(l) = l**2 + 2*l + 1. Let n(g) = 0 - 15*g**2 + 14*g + 4*g**2 - 14*g**2 + 7 - 20*g**2. Let o(t) = -2*n(t) + 14*x(t). What is v(o(b))?\nAnswer: -312*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9*k**2*o**2 - k**2*p**3*u - 4*k**2*u + k*p**3 - 3*k*u + 11*o**2*p**3 + 3*o**2 wrt k.\nAnswer: 18*o**2 - 2*p**3*u - 8*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 10 and 2.65.\nAnswer: 12.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 190874 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 25)*(-3 + 39\/15). Which is smaller: -5 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26 - -27. Let c(q) = 71*q - 3. Let p be c(y). Let h = -27 + p. List the prime factors of h.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -1.2 (b) 1\/5 (c) -3\/4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o\/o**2)**48\/((o*o**(-5)\/o)\/(o*o*o*o**(8\/3)))*(o\/(o**3*o))\/(o*o**(-4))*(o**8*o)\/o*o**(-2\/3)*o assuming o is positive.\nAnswer: o**19","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -203887.6 rounded to the nearest one hundred?\nAnswer: -203900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 36551 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 AM and 2:14 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 49386991?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 6*l + l + 5260, -4*i - l + 4220 = 0. What is the hundreds digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-116)\/(-6) + (14\/3 - 4) is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2176 and 1411?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2643*v - 143514 = -171*v for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 15 = w, 4*f - 18 = 3*w + 46. Let x = f + -16. Suppose x*r - 502 = r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -65 - -113. Suppose 0*l + 3*l = -5*v + z, 0 = 2*l - 4*v - 54. Let y = l - 4. What is the greatest common divisor of 119 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**5\/90 + 5*n**4\/54 + 7*n**3\/27 + n**2\/3 + 387*n. Suppose w(j) = 0. Calculate j.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = 3*j**3 + 23*j**2 - 5*j + 113. What is m(-12)?\nAnswer: -1699","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/174600 and 11\/2700.\nAnswer: 523800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -47183\/11 - -4289. Put 1\/7, u, 2\/5, -2\/7, -0.1 in decreasing order.\nAnswer: 2\/5, 1\/7, -0.1, -2\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -2*c**3 - 20*c**2 + 5*c + 52. Let j be d(-10). Suppose -4*o + n = -36, 2*o + n = -15 + 39. Differentiate -24*t**2 + o*t**j - 4 - 3 with respect to t.\nAnswer: -28*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-17)\/10)\/(7 + 198\/(-12)). Is s >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = 26. Let u = r + 226. Suppose -5*t + u = -41. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3978 greater than or equal to 3978?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes after 1:34 AM?\nAnswer: 8:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -32.\nAnswer: -12.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -7187, -14382, -21563, -28724, -35859?\n\"Answer: l**3 + l**2 - 7205*l + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 30.\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, -8.5, -133, -4?\nAnswer: -8.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4, 25, 68, 139, 244, 389, 580?\n\"Answer: u**3 + 5*u**2 - u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -250*l = 495786 - 481286 for l.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 1 = v + j, -119*j + 122 = -26*v + 119*j - 234*j for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55530 is divided by 554?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 719 or 154569\/215?\nAnswer: 719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8 and (2\/(-4))\/(12\/(-576))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.97 and 174153528?\nAnswer: 174153527.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189030909 is divided by 33?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.6, -3, 2 in decreasing order.\nAnswer: 2, -1.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 PM and 6:51 AM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 21 = -15. Let g be x\/(-6) - 38\/(-12). Which is the smallest value? (a) g (b) 0 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of -h**5\/120 + h**4\/6 + 4*h**3\/3 - 8*h. Let m(s) be the second derivative of u(s). Determine m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*j**2 - 114*j + 12*j**2 + 1 + 37*j to the form q + w*j + b*j**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 377 - 375. Let z(d) be the first derivative of -5 - 5\/2*d**t + d. Differentiate z(n) with respect to n.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6 + 11 + 2 + -3 - -2. Calculate the highest common divisor of v and 762.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 5 = -5*l. Let t = 1732.03 - 1732.07. Put -7, t, l in ascending order.\nAnswer: -7, t, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 3*k + 11435 = 0, 0*k - 8 = 4*k. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -3359, 1, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 130128932 to the nearest integer?\nAnswer: 11407","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 23 = 5*m - 3*z, 23 = 5*m + z. Let x(u) = 4*u**3 - 2*u**2 + 11*u - 5. Let i be x(m). Suppose 979 = 3*q - i. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.19 and 1698?\nAnswer: 1697.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-207)\/69 + (-18)\/(-22) + 2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*j + 3*j + 220. Calculate the smallest common multiple of j and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 230 divide 13\/(156\/218661) - 15\/20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15))**10 assuming t is positive.\nAnswer: t**(4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14*q - 27. Let z(m) = -7*m - 12. Let w be (-4)\/(-14) + (-2310)\/(-490). Let s(y) = w*z(y) - 2*p(y). Determine s(-4).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**2 + 11 + k - 11. Suppose 0 = 4*h + h - 50. Let f(p) = -6*p**2 - 5*p. What is h*u(a) + 2*f(a)?\nAnswer: -2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9287 + -9286.7. What is the closest to 88 in -5, 3\/5, d, -6?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qgqg when four letters picked without replacement from gddgdggddgqgqqgdq?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 5 = 7. Let n be 1 + ((-221)\/195 - (-1)\/x). Let q be 2\/5*15\/33. Put q, n, -0.5 in decreasing order.\nAnswer: n, q, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -67.6 and 15.9.\nAnswer: -1074.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.231762um in kilometers?\nAnswer: 0.000000005231762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b**3*i**3 + 2*b**3*i*t + 481*b**2*i**2 - b**2*i - 2531*b*i**3*t + b*i - 3*i**3*t + 3*i*t wrt i?\nAnswer: 18*b**3 - 15186*b*t - 18*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 4*a - 4*a + 11*a)*(-3*a**2 - 2*a**4 + 3*a**2).\nAnswer: -6*a**5 + 6*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 7*t - 126 = 0. Is t\/2 + 2\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 9 + 39. Let x(b) = 4*b + 1 + 22*b**2 - 4 - b**2 + f. Is x(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -120*k*t**3 - 70*k*t**2 + 50*s**2*t**3 + 2*s**2 - 92*s*t**2 wrt t?\nAnswer: -720*k + 300*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -1\/149 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4.327 greater than 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + -51344144?\nAnswer: -51344145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.332? (a) -5 (b) 0.08 (c) 2.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**7\/420 - o**6\/60 - 7*o**3\/6 + 7*o. Let z(j) be the second derivative of k(j). Find the third derivative of z(c) wrt c.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from imhvhmkkkkkkihkmvkhh. What is prob of sequence mhmv?\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 10.7 + -1.7. Let g = k - 9.01. Let c = g - -5.41. Round c to the nearest integer.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29 + -25. Let y = -17 - -25. Let s(g) = -g + 6. Let k be s(y). Which is the second smallest value? (a) k (b) z (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -123*s - 118*s + 241*s + 17*s**3.\nAnswer: 17*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 4*h - 182 = 0, -g + 2*g + 94 = h. Let b = 63 - g. Suppose 0 = -2*q + 2*s + b, -2*q - 5*s = -3*q + 76. What are the prime factors of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = s + s - 2*f, -s - 12 = 5*f. Solve -5*r + r + 7 = 5*h, -h - s*r - 3 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193 + 195 - (1 - 15 - (-23 - -19)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -10337610 (base 9) to base 12\nAnswer: -1805099","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -26*t**5 - 14899*t**4 - 3*t**3 + 25322867*t**2 wrt t.\nAnswer: -1560*t**2 - 357576*t - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/(0 - 2) - 5054\/1197\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -82, 1, -5, -4, -2163, 0 in decreasing order.\nAnswer: 1, 0, -4, -5, -82, -2163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) -0.066818 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19437, -19428, -19405, -19362, -19293, -19192, -19053?\nAnswer: -18870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 15493*r - 52 = -15495*r, 15 + 50 = 5*c + 3*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70641 + -70636. Let f = -5.6 + 5. Let w = 0.2 + f. Put -5, w, n in decreasing order.\nAnswer: n, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1420229934*n**6 - 18306677*n**2 - 9*n?\nAnswer: 170427592080*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 7260 - -312234.\nAnswer: 319494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 4*j + 18 = 0. Solve 4*s + 16 = -3*m, s - m = -j*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 6 + 4*i**2 - 5 - 3 to p + q*i + d*i**2 and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 95\/54 and -133\/18.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 2*m = 4*i - 16, 4*i - 20 = -4*m. Let f(k) = 2 + 0 - 7 + 2*k**3 + k**3 - 4*k - k**m. Let r(u) = -2*u**3 + u**2 + 3*u + 4. Give -3*f(a) - 4*r(a).\nAnswer: -a**3 - a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m + 4. Let i be a(3). Let w(p) = i + 8 - 3 - 999999*p. Let r be w(-6). Round r to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*c - 5. Suppose 3*h - 3 = 0, -5*h = -g - 4 + c. Let t(u) = 33*u - 5. Is t(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*y - 11 = 24 - 55. Suppose 0 = -5*j + 17 - 7. Solve 3*v = j*v + y*l - 1, 13 = 5*v - l for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132 and 87372?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1852.81m?\nAnswer: 1852810000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 596?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*3*(-1)\/10.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 151*b - 52*b**4 + 155*b + 151*b - 20*b**3 - 612*b - b**2 + 154*b in the form o*b**2 + k*b**3 + w*b + y*b**4 + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w**6\/w)*w*w**1*w**(-3\/7)\/((w\/((((w*w**(-2\/11))\/w)\/w)\/w))\/w))\/(w**(-4)\/(w\/w**(2\/15)))**(1\/10) assuming w is positive.\nAnswer: w**(-47629\/11550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2037 + -1992. What is the remainder when 908 is divided by k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 2*w**3\/19 + 233182*w**2\/19 - 613900*w = 0.\nAnswer: -116641, 0, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 3293*n. Let y(c) = c. What is k(y(w))?\nAnswer: 3293*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 36 + -21. Let a(k) = 4*k - 3. Let m(x) = -1. Let b(p) = -3*a(p) + 6*m(p). Let d be b(-6). What is the highest common divisor of h and d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/(-5)*-4*-50. Suppose 2*u + 2*u = z. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q**2 + 114 + q**2 + 74 + 194 + 1251*q - 1250*q.\nAnswer: q**2 + q + 382","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.02 - 2.98. Let o = 6 + -5.7. Put l, o, 1\/3 in descending order.\nAnswer: 1\/3, o, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*c**5 - 168*c**4 - 4528*c**3 - 33988*c**2 + 136242*c - 97556.\nAnswer: -2*(c - 2)*(c - 1)*(c + 29)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.0788 - -36.0212. Let h = c + -36.1. Which is greater: -339 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -2924.04 from 165.62.\nAnswer: 3089.66","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 1:45 AM?\nAnswer: 10:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1142 (base 5) to base 7.\nAnswer: -334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 690546 is divided by 690500.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v + 18 + 0*v - 5. Let s be k(7). Let r be 0*(-2 - (3 - s)). Let b(x) = -x. Calculate b(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3720418 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 2*s. Let w be n(1). Let k(g) = -g**2 + g - 5. Let h be k(0). Put -7, w, h, 3 in descending order.\nAnswer: 3, w, h, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -111\/392 and 101\/686.\nAnswer: 2744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**3 + 3*u**2 - 5*u - 5. Does 34 divide r(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 10117, 20234, 30351, 40468, 50585, 60702?\n\"Answer: 10117*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1586+5\nAnswer: -1581","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 59791441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:39 AM and 10:26 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -5*h**2 - 17*h + 13. Let q be y(-4). Let z(o) = -o**2 - o - 1. Let t(l) = l**2 - 4*l - 1. What is q*t(j) - 3*z(j)?\nAnswer: 4*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3*y = -4*y + 1, 2*q + 4*y - 22 = 0. Factor 0 - n**2 - 1\/2*n - 1\/2*n**q.\nAnswer: -n*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -815 - -810. Let m = 254 - 356. What are the prime factors of (m\/(-18) + k)\/(2\/207)?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of -9*m**8\/28 - 83*m**5\/30 + m**4\/12 + 2*m**2 - 150. What is the third derivative of n(y) wrt y?\nAnswer: -6480*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b - 335. Let g be r(24). Let i = 3 - -2. Sort g, i, 3.\nAnswer: g, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -69414 by -4.\nAnswer: 34707\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -170957.245 + 172382. Let q = j - 1414.65309. Let l = 10.1 - q. Round l to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 + (556052\/4)\/(1 + 0) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60149197.\nAnswer: 1163, 51719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1399 + 0.1099. Put s, 1\/2, -9 in ascending order.\nAnswer: -9, s, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1687413?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 658 + 3389 = -3*b. Let d = b + 2833. Suppose 0 = z - 5*z + d. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -248*(3\/(-10))\/1. Let u = j + -2644\/35. Let l = 39 - -11. Calculate the common denominator of l and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2951 + -17707\/6. Let h be 0 + 3 + (-5 - -7). Which is the closest to h? (a) 1 (b) 3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18464364 is divided by 30319.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in -0.3, -0.27, -2\/7, -5, 1295?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -28, -65, -104, -145, -188, -233, -280?\n\"Answer: -r**2 - 34*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*o - 70*o + 96. Which is the second smallest value? (a) -0.3 (b) -5 (c) -0.61 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 56499?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54301.\nAnswer: 13, 4177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -281 - 117. Suppose 4*h + 626 = 2*g, -11*h - 780 = -6*h - 5*g. Let o = h - d. What are the prime factors of o?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 17*j = -12*j + 72 + 23, -q - 43*j + 22 = -1 for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -463791 + 463791 + 37*y**2 + 3*y**2 + 11*y**2 + 9*y**2 + 3*y**2.\nAnswer: 63*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 328015106?\nAnswer: 2, 6367, 25759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -89*f - 19. Does 50 divide a(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 282334 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: Calculate the least common multiple of 1184505 and 140.\nAnswer: 4738020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the third derivative of 0 + 0*q + 1\/6*q**3 + q**2 - 23\/24*q**4. Is 15 a factor of j(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 5*d + 4. Suppose -d*p = -4*p + 4. Suppose 5*o + 2*r + 10 = 0, -3*o - 15 = p*o + 3*r. Solve -4*x = -o*x - 4 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 75*r + 73*r = 674, 5*g + r = 3359. What is the least common multiple of 105 and g?\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 136*i - 163*i + 54 = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 92 and 129476.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 3*v**2 + v - 1. Let m be q(3). What is the derivative of -3 + 0*f**2 - f**m + 0 + 1 wrt f?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -1785, -1955, -2239, -2637, -3149?\n\"Answer: -57*u**2 + u - 1729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1224 + -449. Let s = -430 + v. Suppose 5*z + 90 - s = 0. Calculate the highest common divisor of 17 and z.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 50*d**2 - 278*d - 8353. Calculate w(16).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 30\/25)\/((-3)\/10). Let x be s\/(-6) - (545\/3)\/(-5). What is the greatest common factor of x and 592?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*b*c**3 + 2*b + 2*c**4 + 17*c**3 - 22*c**2 wrt c?\nAnswer: 18*b + 48*c + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-86 - (25 + -114) - (-1 + 2 + 1)) + -68\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12463 + -11636.3. Let k = 827 - a. What is the biggest value in k, -20\/53, -5, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5153?\nAnswer: 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1811 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 16*m + 7 + 4*m**2 - 4*m**2 + m**2 - 3*m. Let g be a(-13). Solve -3*w = 2*b + g + 9, 5*w + 2*b = -24 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00010512 to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/10 - x\/2 + 2\/5.\nAnswer: (x - 4)*(x - 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, j: 1}. Give prob of sequence jpp.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -848902628 and 0.13?\nAnswer: 848902628.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 12983448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 80285327819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(22)\/(sqrt(176)*2) + (2*sqrt(288)*-4)**2.\nAnswer: sqrt(2)\/8 + 18432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(99) + -1)**2 - (sqrt(99) + 0 + sqrt(99) + 3)**2) + -3*(sqrt(99) - (-2*sqrt(99) + 3))*6.\nAnswer: -204*sqrt(11) - 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28163158*h**3 - 3*h**2 + 2*h + 456759?\nAnswer: -168978948","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 59833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 87*v + 36*v - 9225. Let d = 241 - 151. What is the greatest common factor of d and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 21\/71?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -1\/25 (c) -7 (d) 1 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3*j**3 + 10*j**2 + 13*j + 2. Let y(m) = -4*m**3 - 10*m**2 - 13*m - 1. Let h(z) = -3*q(z) - 2*y(z). Calculate h(-9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -5*c + 13, -3*t - 5*c = -0*c - 19. Suppose -t*u - 180 = u. What is the units digit of (-2367)\/u + 6\/(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 77 and 56?\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 2*n + 116, -4*z - 2 = 2*n - 102. Let s = z + -16. Let w = -32 + 35. What is the remainder when s is divided by w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1642.\nAnswer: 2, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1727.\nAnswer: 11, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 2. Let m = 47 - 45. Is ((-23)\/q)\/(m\/(-30)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w - 8. Calculate z(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/(-1))\/((-18)\/225). Suppose -3*q - 19*l + 16*l + 57 = 0, 0 = 4*l + 4. Calculate the highest common divisor of q and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 345 and 388982808.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -494, -955, -1374, -1751, -2086?\n\"Answer: 21*v**2 - 524*v + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-85)\/15)\/17*(-2 + 2). Let v = -437 - -657. Suppose 4*c = -h*c + v. What are the prime factors of c?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) be the second derivative of 47*p**5\/12 - p**4\/4 - 11*p**3\/6 - 12*p. Let q(i) be the second derivative of t(i). Is q(2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 36 = 2*y, -v = -4*y + 2*v + 44. Let m(g) = -2*g + 24. Let h be m(y). Suppose -273 = h*k - 1217. What are the prime factors of k?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one tenth of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 2*z - 1. Let w(p) = 150*p**2 + 4*p + 2. Calculate -2*m(v) - w(v).\nAnswer: -148*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 482*x - 244*x - 240*x.\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1138.174 rounded to zero decimal places?\nAnswer: -1138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -291, -672, -1147, -1716, -2379, -3136, -3987?\n\"Answer: -47*t**2 - 240*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 8*c - 16. Suppose -b - 35 = -6*b. Let u be y(b). Suppose 2*n = -4*g + 82 + u, 0 = g - 3. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o - 42. Let k(c) = 14*c - 83. Let a(p) = -7*h(p) + 4*k(p). What is the remainder when 147 is divided by a(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ru when two letters picked without replacement from {u: 6, r: 2}?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -365.13 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 164021992 to the power of 1\/3, to the nearest integer?\nAnswer: 547","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 44490?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s + 12. Let m be w(-4). Let n be 58\/8 + 6\/8. Find the second derivative of -67*u**2 - m*u**3 + 67*u**2 + n*u wrt u.\nAnswer: -48*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(77) + (sqrt(77) + sqrt(77)*6 - sqrt(77))*-2)\/((sqrt(42) + sqrt(294)\/sqrt(7))\/sqrt(6)).\nAnswer: -11*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.2 from -11340777.\nAnswer: -11340776.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 + 8. Let g = -5 - -3.8. Let m = -6.2 - g. Sort m, 0.4, u.\nAnswer: m, 0.4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 6*a - 2*a - y, -2*a - 2*y + 12 = 0. Put a, 1, 29 in decreasing order.\nAnswer: 29, a, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = 2*j - 3*j + 3, -2*g = -j + 5. Let q = -6 - -8. What is the remainder when 50 is divided by ((-6)\/q - -16)\/j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one sixteenth of a millimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-41*o - 50*o + 92*o)*(-1 - 3 + 6).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2.5, 15, 7\/52, 0, -6.\nAnswer: -6, -4, 0, 7\/52, 2.5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 22.7 + -23. What is the nearest to 0.2 in z, -4\/3, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1797, -1950, -2105, -2262, -2421?\n\"Answer: -g**2 - 150*g - 1646","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:36 AM and 5:11 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 542772 + 59785. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = p + 47, p + 40 = 4*y - 23. Calculate the common denominator of 34 - 39 - (-262)\/y and -71\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 433601460 to the nearest 1000000.\nAnswer: 434000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2181113, 8724601, 19630415, 34898555, 54529021?\n\"Answer: 2181163*f**2 - f - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 3*k + 5. Let l be ((-4)\/(-8))\/(1\/4). Suppose l*w - w = 14. Calculate the lowest common multiple of t(5) and w.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5, 1\/4, -1818, 2.73, 6?\nAnswer: 2.73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -6 + x - x**2 - 4*x**2 - x + 6*x. Let u(v) = -24*v**2 + 28*v - 28. Let j(m) = -14*c(m) + 3*u(m). Let l(s) = -s - 20. Give j(l(q)).\nAnswer: -2*q**2 - 80*q - 800","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-47480)\/(-5) + (-20 - -33)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 10993, 44009, 99045, 176101, 275177, 396273?\n\"Answer: 11010*d**2 - 14*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.87 - 0.13. Let g = 401 + -592. Let z = -2485\/13 - g. Which is the nearest to -1? (a) i (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ktk. What is prob of sequence tk?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 2\/1869 and 1\/4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 + -9. Let q = b - 11. Let s = q - -8. What is the closest to 1 in -0.4, -4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4807\/4 - -1201. Sort g, 1\/4, 1\/5, 3 in decreasing order.\nAnswer: 3, 1\/4, 1\/5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y - 5*n + n - 87, -49 = -3*y + 4*n. Suppose -6*k + 35 = -7. Calculate the remainder when 376\/k + 45\/35 + -1 is divided by y.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33801 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: Evaluate (3\/(-1))\/(-21)*(-252)\/40626*-37.\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11062?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 - 17*o**2 - 30*o - 5. Let n be b(18). Let f be (-20)\/(-25) - 19942\/90. Let w = n - f. Put w, 2\/13, 5 in descending order.\nAnswer: 5, 2\/13, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1390 - -1949. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 68 - 59. Let d = 7 - o. Let n = d + -31. Do 0.1 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11007 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: Calculate (-15 - (-28 - -14)) + -16 + 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.3004169kg?\nAnswer: 300416.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 16*r**2 + 16278*r + 861393. Give c(-56).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-144)*(102 - -1) and (-1104)\/36 + (0 - -9).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.5, -18, -21, 1\/12, 0.4.\nAnswer: -21, -18, -0.5, 1\/12, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*y + 11*y**2 + 187 - 16*y**2 - 4*y + 189 - 278.\nAnswer: -5*y**2 + 2*y + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the third derivative of m**7\/210 - 113*m**6\/120 + 113*m**5\/60 - 114*m**2. What is the third derivative of s(i) wrt i?\nAnswer: 24*i - 678","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes after 10:22 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31*h**2*j**2 + h**2*j + 9796*h**2 - 955*h*j + 2*j**2 + 138 wrt h.\nAnswer: 62*j**2 + 2*j + 19592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 24053 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 833, 3, -3, -2, 8 in decreasing order.\nAnswer: 833, 8, 3, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 793242 less than 0.08?\nAnswer: -793241.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 995369 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 97*z - 96*z + 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 14054725.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - q - 13 = 0, -3*r + q - 1 - 13 = 5*q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 707982 is divided by 22838?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 68\/(-51)*2\/((-8)\/(-6))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by -5?\nAnswer: 115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**4 + 188*u**3 - 8639*u**2 - 9718*u + 68?\nAnswer: 24*u**2 + 1128*u - 17278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(-4*(sqrt(1539) + 3*(sqrt(1539) - 2*sqrt(1539))) + (sqrt(1539) - 1*sqrt(1539))*-3*-5) + -3)**2.\nAnswer: -1296*sqrt(19) + 886473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1910*l + 1878*l = -448. Let d(u) = -u**3 + u**2 + 14. Let x be d(0). What is the highest common divisor of l and x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*n - 3*x + 5 = n, 0 = 2*n + x - 10 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 56282.12 weeks in minutes?\nAnswer: 567323769.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 535 + 1258. List the prime factors of d.\nAnswer: 11, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 363 = b, 6*b + 2*j = b + 1815. Calculate the common denominator of (-4)\/10 + (-491)\/60 and 2\/(54\/b)*18\/24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -339 + 343. Solve 16 = m*u, -5*a - 2*u = -6*u + 6 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 4 + 0)*(-1 - t + 1 - 3*t + 3*t - t + (0 - t + 0)*(1 - 4 + 4) + (-t - 2*t + 6*t)*(4 - 3 - 2)).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of 2*b**5\/5 + 21*b**4\/2 - b**3\/3 + 14*b - 16. Find the third derivative of q(a) wrt a.\nAnswer: 48*a + 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 60.4014 + -0.0014. Round d to 0 decimal places.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11908273 or -273890274\/23?\nAnswer: -273890274\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 63, 0, 1 in descending order.\nAnswer: 63, 1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 12 = -0*r. Suppose -3*d + 0*h + 5 = -2*h, 4*d - 4*h = r. What is the remainder when (-18)\/(-4) - (-3)\/6 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1050 or -1052?\nAnswer: -1050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 565 - 565. Let h(z) = z**2 - 9*z + 8. Let q be h(8). Suppose c*b + q*b = -3*b. Solve b = 3*m + 2*j - 2 - 2, m = 4*j - 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d + 2*a = 6, 2*d - 5 = 3*a. Let j be -4*(14\/(-4) + 3)*d. Let x = -5 + 7. Solve x*b = -5*k + j, -5*b + 20 = -0*b for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2514.6 or -79?\nAnswer: -2514.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290230 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -12279*p - 336. Let l be q(-4). Round l to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -130 divided by -3.\nAnswer: 130\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2 + 10*l + 23. Let q be z(-8). Suppose -10*w + q = -13. Suppose w*x - 3 = 17. What is the greatest common divisor of 40 and x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 - 12 - 2 - (1251 - 1237).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (228\/1026*12\/8)\/((-30)\/9).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 651738859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Total of -11.3 and -1417.778436.\nAnswer: -1429.078436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 209 and 209.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/((k\/(k\/k**(-2\/19)*k))\/k))\/k**(15\/2) assuming k is positive.\nAnswer: k**(-167\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Let n = -2.6 - -0.1. Let o = w + n. Which is the second biggest value? (a) 1\/4 (b) o (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -5*w + 16. Let m(a) = -a - 3. Let s be m(-3). Suppose -12*b + 14*b - 24 = s. Calculate the remainder when b is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of -y**7\/30 + 7*y**5\/30 + 11*y**2. What is the third derivative of d(v) wrt v?\nAnswer: -168*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -2\/5, 35, -1, 3034 in decreasing order.\nAnswer: 3034, 35, 0, -2\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20415.\nAnswer: 3, 5, 1361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15644\/9 + -1738. What is the closest to 2\/7 in d, 2, 3\/2, -1\/3?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m - 1 + 0 - 4 - 1. Let w be q(-10). Let x(k) = -k**2 + 3*k + 4. What is x(w)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 105 = o, 0*l + 3*o + 261 = 5*l. Let d be -1*2\/(-3)*6. Let s be 4\/2 - d*-1. Calculate the highest common divisor of s and l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of x**6\/120 - 2*x**5\/15 - x**4\/6 + 5*x**3\/6 + 3*x**2. Let i be r(11). Calculate the greatest common divisor of 27 and i.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -159 + 839. What are the prime factors of p?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3e0d + -4?\nAnswer: -3e12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c - 1. Let g(n) = 24*n + 26. Let b(y) = -g(y) - 12*s(y). Let i be b(-4). Let l = i + -34. Do 1\/97 and l have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 86149?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -338 at least -340?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -17708170 to the nearest 10000.\nAnswer: -17710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.06 times -17.249?\nAnswer: -1.03494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49 - 28 - i - 21.\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/6 - 7*s**3\/2 + 6*s**2 - 16*s. What are the prime factors of z(-6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2150, 223, 61 in decreasing order.\nAnswer: 223, 61, -2150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/17, 5, -28, 0.5, 3 in decreasing order.\nAnswer: 5, 3, 0.5, 1\/17, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 4*r**2 - 10*r - 51. Determine h(-6).\nAnswer: 153","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 257\/17 - (-18)\/(-153). Suppose k*g - 5*g - 80 = 0. Solve -3*i + 20 = g for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 757473857?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/((-7)\/((-84)\/(-4)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 203, -8, 11708 in decreasing order.\nAnswer: 11708, 203, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1cda - 4364?\nAnswer: -2468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130525 - -2?\nAnswer: -130523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67 + 67 + q**3 + 5*q)*(-2*q + 3*q - 3*q) to d*q**2 + s*q**4 + m*q**3 + r*q + h and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b + 5*b. Let r = 4 - b. Let n = 3 - r. Sort n, -2, 4.\nAnswer: -2, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 21 = -2*j. Suppose -5*w = -54 - 1. What is the remainder when w is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o - 2*i + i + 13, 5*i = o + 8. What is the remainder when (-4)\/(-12) - (383\/o + -1) is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 206*o - 1141 - 6044 = 3321 for o.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 0*z - 17 - 2*z + 0*z.\nAnswer: -z - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 39 - 106*j**2 - 36 - 4465*j**3 + 106*j**2 as s*j + z + g*j**2 + t*j**3 and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -7*q + 1. Determine n(2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*t = -29*t - 3*z + 11, -5*z = -25 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a century in years?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (30\/(-20))\/(6\/8). What is the remainder when (-528)\/(-18) + u\/6 is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvz when three letters picked without replacement from {w: 1, z: 3, o: 2, v: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**3 + 19*t**2 - 77*t + 694. Determine a(18).\nAnswer: -368","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 38250 + 75?\nAnswer: 38315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 141*d + 336. Let x be q(18). Let l = x + -114927\/40. Find the common denominator of l and -44\/25.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 680. Let b be s(94). Calculate the highest common factor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3\/(-12) + 94\/(-8). Let y be (-7)\/(-3) - (-4)\/t. Let k be (62\/y)\/(13 - 12). What is the greatest common divisor of k and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 plus -0.3099591475?\nAnswer: -2.3099591475","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -5*m + o, -2*o = 2*m - 3*m + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -410225 divided by -16409\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*l**3*m**2 + 2*l**3*m - 84339232*l**2 + 61864*m**5 wrt m.\nAnswer: -32*l**3 + 1237280*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12103767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 95 + -8?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y**3 + 5*y**2 - 3*y + 3. Let z be w(2). Suppose 3*j + 5*p - 29 = 6, j + 3*p = z. Calculate the highest common divisor of 75 and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -899075*t**3 - 5*t**2 - 10*t - 80. Let b be m(-6). Round b to the nearest 1000000.\nAnswer: 194000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) + sqrt(2) + 1*sqrt(2)*-3 - sqrt(24)\/sqrt(108))**2.\nAnswer: 32\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*w**2 - 3*w**3 - 13 - 1 + 15*w**2 + 7 + 9 - 28*w to q*w + k*w**2 + h*w**3 + g and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 509051 divided by -16421?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 101 or 103?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 15499.7 and 0.3?\nAnswer: 4649.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3 - 2472*t**2 + 4936*t.\nAnswer: 2*t*(t - 1234)*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*m = -81*m + 14960. What is the thousands digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/4 - 1*-122. Suppose 4*v + 4*g - 1352 = 3*g, -2*v + 670 = -g. Suppose n = w + 3*b, -w + 4*w - v = -4*b. What are the prime factors of w?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 162986, 326085, 489184, 652283, 815382, 978481?\nAnswer: 1141580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1941252 (base 13) to base 8\nAnswer: -37466154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 3654?\nAnswer: 36540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 60 + 10*b - 7*b)*(-1 + 0 - 4).\nAnswer: -15*b - 260","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, -10, 185, 4?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64136 is divided by 64125?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of 0 + 8*t**2 + 0*t**4 + 4*t - 7\/4*t**5 + 0*t**3. Differentiate s(k) with respect to k.\nAnswer: -105*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.133 (b) -1\/3 (c) -1 (d) -20 (e) -4\/3 (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 5 + (1 - 1) + 0\/(-9). Solve -r*f + 19 = o, -4*o + 13 = 3*f + 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 4*f = 8, -3*f - 5 - 1 = c. Suppose -1 + c = -p. Let d(q) = -q. Let l(j) = 4*j + 3. Let z(x) = p*l(x) + 3*d(x). Calculate z(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of 1\/7*c**3 + 0*c**2 + 0 + 3\/140*c**5 + 17*c + 3\/28*c**4. Find j, given that y(j) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8355.2906 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 3*u - 6, -4*o - 5*u + 2*u + 21 = 0. Let v = -2333\/12 - -195. Let p = v + -1\/4. Which is the nearest to 0? (a) 0.1 (b) o (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 3 - 10*u**2 + 8*u**2 - u + 6*u**2. Let g(x) = -12*x**2 + 4*x - 10. Suppose 14*s + 45 - 3 = 0. Give s*g(q) - 10*h(q).\nAnswer: -4*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -4, -2, 712 in descending order.\nAnswer: 712, -2\/5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 609 = 2*s + 39, -5*s + 5*i + 1495 = 0. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2050, 8387, 18980, 33829, 52934, 76295?\n\"Answer: 2128*o**2 - 47*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**3 - t**2 + 123. Let j be u(0). Let d(h) = -h**2 - 7*h - 81. Let r be d(0). Let a = j + r. What are the prime factors of a?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(9531\/(-288) - -33)?\nAnswer: -32\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 + 9*n**2 - 7*n + 3. Is y(7) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 29\/3 + -9. Let n = 48 + -47.8. What is the biggest value in 1, s, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2794946*l + 2592728 wrt l?\nAnswer: -2794946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14043 is divided by 341.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*h + 7*h + 22*h as r*h + z and give r.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2238.06 - 2243.86109. Let d = 5.8 + x. Round d to 4 dps.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1011*g + 6 + 393*g - 3 - 3 in the form i + x*g and give x.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -884 - 2*l**3 - 11510*l**2 + 11510*l**2.\nAnswer: -2*l**3 - 884","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 499.1683853 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o + 4. Let k be f(-5). Let n(g) = -g**4 - 5*g + 9. Let p(y) = y - 1. Let b(i) = k*n(i) - 5*p(i). Differentiate b(z) with respect to z.\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 3*(3 + (sqrt(108)*-3 - sqrt(108))) + 4)**2.\nAnswer: -2160*sqrt(3) + 15777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 303 + 227 = 650 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x\/((x*x**(1\/2)*x*x*x)\/x)*x)**(8\/5)*(x*x**(-2))**(-31))\/((x**1\/x*x*(x\/x**(1\/9))\/x)\/(((x\/x**(-7)*x)\/x*x)\/(x\/((x\/x**1*x)\/x)))) assuming x is positive.\nAnswer: x**(1607\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3\/2 + 21*h**2\/2 - 15*h.\nAnswer: -3*h*(h - 5)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-3*(-6)\/(-21))\/(24\/21)\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/9 + (-3403)\/(-738)?\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + n + 2, 3*q - 5*n = -147 + 173 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 485507 and 435613.\nAnswer: 1919","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 76 + -46. Suppose 2*m = 5*p - 16, 2*p - 6 = m + 1. Let g be (-3)\/2*(-80)\/12. Solve -q + 6 = 3*d + 4*b, 4*d - p*b + g = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -921 = 61*f - 1026 + 654 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b5 (base 14) in base 4?\nAnswer: 11203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 15688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.90508495 and 0.1?\nAnswer: -0.190508495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -8 - (-80 + 80)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) 4 (c) 1 (d) -2 (e) 2 (f) 0.2 (g) -4100\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/(-3)*10\/(-50).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 (base 10) in base 8?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, o: 1, b: 3}. What is prob of sequence momb?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 14*r - 2*r - 15 = -27, -n + 2*n - 5*r = 7 for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the third derivative of -5\/8*v**4 + 0*v + 14*v**2 + 5\/6*v**3 + 0 + 11\/20*v**5. Is s(9) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 51370?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -110\/17, -4\/165?\nAnswer: -110\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 - ((-1 - (-182)\/(-10)) + (1496 - 1494)).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13195 by 5.\nAnswer: 2639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83290131?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 8 - (6\/(-9))\/((-14)\/63). Sort j, -3, 13 in descending order.\nAnswer: 13, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15\/11 - 13\/11. Which is the closest to -0.1? (a) -4 (b) s (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -a + 6*a - 10, -a = 3*c - 10. What is the remainder when c\/(-7) - (-48)\/21 - -11 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 45 - 43. Suppose 5*k + 5*q = -10, -u*k = -5*q + q - 20. Solve -4*c - 17 = 3*t + 10, -k*t = 10 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 106572?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.64 * -2.0805.\nAnswer: 1.33152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((0 + 0 + 2)*(-2*x + 0 + 0) + 2467*x - 1247*x - 1237*x - 2)*(0 - x + 0) as h*x**2 + b*x + n and give h.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -6*a - 2. Let u(m) be the second derivative of -m**3\/6 + 8*m. Suppose -6*p - p = -7. Calculate p*r(j) - 3*u(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 + 1. Let o(d) = d**3 + 19*d**2 - 42*d - 3. Let v be o(-21). Let s(i) = i**3 + 3*i**2 + 3. Give v*p(a) + s(a).\nAnswer: a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1404956.\nAnswer: 2, 7, 50177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000093881 to 6 dps.\nAnswer: -0.000094","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2478?\nAnswer: 2, 3, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 230002*o\/7 - 9388.\nAnswer: 2*(o + 16429)*(7*o - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 7325 * 2473.8\nAnswer: 18120585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -107846683*q**3 + 673909616*q**2.\nAnswer: -647080098","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75335*v - 94996 wrt v.\nAnswer: 75335","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*k**2*r*v**2 - 2272485*k**2*v**3 + 575*k*r*v**3 + k*r - k*v**3 + 2*k*v**2 + 38*k*v - r*v**3 - 2*v wrt k.\nAnswer: 310*r*v**2 - 4544970*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 27041 + -27040.9. Which is the second biggest value? (a) s (b) 2\/11 (c) 3 (d) 70 (e) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 5 (b) -3 (c) 217 (d) -136.5 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -345060 divided by 5751.\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -41 + 18 - (-11 + 7).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5 + -244?\nAnswer: -23e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.010711403 to five dps.\nAnswer: -0.01071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (440\/132)\/((-2)\/(-3)). Solve r - 20 = -3*r + d, -j*r + 4 = 4*d for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -589*u - 50*u - 429*u + 177144 = 274*u for u.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (2 - 10\/2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 549.4674 tonnes to nanograms.\nAnswer: 549467400000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 8*d**3 - 262*d**2 + 2183*d - 25407. What is t(27)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37306 - -5?\nAnswer: -37301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 16 = 4*f, -2*f = -4*t + f - 12 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 0*t - 240 = 0. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (3 + -3 + -1)*1. Let v be 3*(4\/(-6) - p). Find the first derivative of -4*n**3 - 6 + 3*n**3 + 0 + v wrt n.\nAnswer: -3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 104\/(-8)*(-18)\/(-270). Which is the closest to -0.1? (a) -5 (b) 1\/5 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m + 13*m + 3*m + 2*m to r + a*m and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -18*x**2 + 63*x. Let g(r) = -4*r + 36*r**2 - 63*r**2 + 28*r**2. Let j(m) = -4*b(m) - 63*g(m). Let y(c) = -11*c**2. Give y(j(t)).\nAnswer: -891*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -26 + -16. Let f = n - -15. What is the units digit of (8\/(-36))\/(3\/f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 871*o - 435*o - 438*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/r**3)**(-13)\/(r*r**1\/r*r*r*r**(-8)) assuming r is positive.\nAnswer: r**31","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + n**2 + 6*n + 3. Suppose -5*p = -1 + 21. Let h be i(p). Suppose -5*u = -h - 86. Solve 1 = -5*w - 5*x - u, 2*w + 3*x = -16 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + y + 9. Let h be l(0). Suppose -4*q + h*q + 1 = 3*k, k - 4*q + 9 = 0. Does 7 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, r: 2}. Give prob of picking 2 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -738139 divided by -2?\nAnswer: 738139\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 11*p - 61 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*g**3 + g**2 - 8*g + 4.\nAnswer: (g - 1)*(g + 2)*(3*g - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 5:05 AM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -647.76356\nAnswer: -64.776356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -22 - -56. Let b = 38 - n. Suppose 2*w + 0*w = 3*z + 19, 4*z - b = 0. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a5 - -12196?\nAnswer: 120a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23089 + -7655. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 801203.67 and 38800.78.\nAnswer: 840004.45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7125*c**4 - 12513.\nAnswer: 28500*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 42*i - 43*i + 3. Let h = -2 - -6. Suppose h + 5 = i*v. Put -3, v, -2 in increasing order.\nAnswer: -3, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 1527*r. Let k(h) = h**2 - 22*h. Give q(k(x)).\nAnswer: 1527*x**2 - 33594*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 313*p**2 - 3184*p + 7831. Determine m(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 20*1\/2 - -2. Let i = 8 - x. Let j(v) = -6*v. What are the prime factors of j(i)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1169910 divided by -194985?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 take away -0.030816585?\nAnswer: -0.969183415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of 2\/3*l**3 + 1\/12*l**4 + 6*l + 0*l**2 + 0. Let c be u(-3). Sort 4, -1, c in decreasing order.\nAnswer: 4, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - 3*z**2 - z**3)*(-z**2 + 2*z**2 - 8*z**2) + (2*z + 2*z**2 - 2*z)*(-z - 3*z**3 + z + (19 + 6*z - 19)*(-1 - 2*z**2 + 1)).\nAnswer: -23*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 121623 and 2130?\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -52*k - k**3 - 2*k**3 + k**3 + 0*k**3 as q*k**3 + a + g*k**2 + x*k and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 151 + 601 = 0. Let s = 524398 + -11021806\/21. Let i = s - f. Which is smaller: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 2*y = -86439, -2*m = -3*m + 2*y + 28817. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (144\/64)\/((-1)\/12). Let x = 41 + l. Solve 0 = -3*k + x - 5 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = s**3 - s. Let q(g) = -59 - g - g**3 + 19 + 18 + 22. What is -4*h(p) + 2*q(p)?\nAnswer: -6*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*f - 186*f - 135 + 135 + 2*f**2 to c + m*f**2 + i*f and give i.\nAnswer: -224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6184 - 1823 = 2*t + 3*p, -2*t = -4*p - 4354. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -46189895200 to the nearest 1000000.\nAnswer: -46190000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 122101100 + -111?\nAnswer: 122100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*g - 5*x + 0*x + 85 = 0, 0*g + 187 - 190 = g - 3*x for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-8)*(-2 + 4). Let v(m) = 6*m**2 - m + 1. Calculate the lowest common multiple of v(w) and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 862916 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 21*x - 22*x. Suppose x = -z, 3*u - z - 90 = -2*z. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes before 5:18 AM?\nAnswer: 9:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -221*h**2 + 1869*h**6 - 1963*h**6 + 7*h**4 - 7*h**4 - h wrt h.\nAnswer: -11280*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -333 + 272. Let v = h + 296. What are the prime factors of v?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**2 + t**2 - 5*t**2)*(-12015*t**2 + 3669*t**2 + 6379*t**2) - t**3 + t**3 - 2*t**4.\nAnswer: 1965*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.529423ng in milligrams?\nAnswer: 0.000004529423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 99810.5.\nAnswer: 99815.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2 - 882*d + 18. Let i(r) = r**2 - 2*r - 3. Give 6*i(c) + s(c).\nAnswer: c**2 - 894*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = 2*i - 4, -354*n - 4*i + 20 = -356*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 78528954?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2 - 0)*10\/20.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-14\/13))**29*(v*(v*v*v*v*(v*v*(v**48\/v*v)\/v*v)\/v)\/v*v)\/v*v\/(v\/(v*v**(2\/17))) assuming v is positive.\nAnswer: v**(5058\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 26239614 to the nearest integer?\nAnswer: 297","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 u when two letters picked without replacement from jjctuljjl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15875610.\nAnswer: 2, 3, 5, 41, 12907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o**2 - 2*o**2 + o**2)*(80 + 99*o - 117 - 6*o - 217 - 78).\nAnswer: 93*o**3 - 332*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 206630028?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-52)\/(5\/(-2) + 2). Let p be 2\/7 - n\/(-28). Suppose 6*y - l = y + 31, 29 = p*y - 5*l. What is the highest common divisor of y and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 11*s - 10*s. Let n be s*9\/(-6)*(-6)\/6. Suppose 4*t - 8 = 4*a, -2*t + 7 + n = 4*a. What is the remainder when 12 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -329945 + 2969509\/9. Let f be 5 - 2 - (-4 + 1). Factor -26\/9*t - f*t**2 - i - 46\/9*t**3 - 14\/9*t**4.\nAnswer: -2*(t + 1)**3*(7*t + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -49694 + 72244. List the prime factors of h.\nAnswer: 2, 5, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 232134 a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 3*d + 4, -4*y = 8*d - 3*d - 8. What is the second derivative of -6*f + 2*f**4 - 5*f**2 + 3*f + 5*f**y wrt f?\nAnswer: 24*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + (2 - 2) + (10 + -2 - -1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 3 and 338181.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371?\nAnswer: 3, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -20 - (3 - 96)\/3\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**3 - 17*k**2 + 11*k**2 - 3*k**2 - 25*k**2.\nAnswer: -4*k**3 - 34*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve g**4\/3 - 379*g**3\/3 + 11323*g**2\/3 - 25247*g - 29148 = 0.\nAnswer: -1, 12, 21, 347","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + i = 24, -5*h - 5*i = -3*i - 39. Suppose -m - 1 = -4*r, 5*m - 3*r - h = m. Suppose -2 = f - 2*f, 3*o = -m*f + 441. What are the prime factors of o?\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 61.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 0*s = 24. Let x be (-2)\/s + 53273\/(-4). Let n be x\/9 - 4\/18. Round n to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 5\/509 (b) 1 (c) -27 (d) 5 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*j - 750 = 5*j + 3*y, 2*j = 3*y + 503. Calculate the remainder when j is divided by 160.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/8 of a millisecond in microseconds?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 6*z**2 + 3*z - z**3 - 3 - 4*z - 11*z**2. Let v be p(-5). Suppose -24 = 61*o - 146. Solve -b + 3*h + 8 = h, v*h = -o*b + 4 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 523 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-36))\/(3\/(-1826)). Let s be 112\/54 - (-6)\/(-9). Let t = s + n. Calculate the common denominator of 55\/4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1096 - 1083. Suppose k*p + 435 = -74*p. Let n be (-4)\/(-10)*(-1)\/(-1). Which is the closest to 4? (a) p (b) 5 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 274 is divided by 40?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a + 4*t + 7, 2*a - 4*t = -3*t. Which is smaller: a or 9\/23?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2 - 3\/(-5) - 4\/(-10). Let m be z\/(-1)*154400\/(-12). What is m rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -35 and -33?\nAnswer: 1155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*n, -p + 4*n - 7 - 14 = 0. Are p and -1 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9.967? (a) -2\/7 (b) 1 (c) 0 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 474 = 3*o - 237. Suppose 42 + o = 3*i. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -16 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 119 + -1?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -n**3 + 8*n**2 - 6*n - 4. Suppose 2*h - 10 - 4 = 0. Let c be t(h). What is the third derivative of 4*g**2 + 12*g**3 - 5*g**3 - 3*g**c wrt g?\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-260)\/286 - (-2)\/(-22).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 412456 is divided by 1539.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 315\/150*(-5650)\/(-339).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 - 3*z**2 + 0*z**2)*(3*z - 3*z - z) - 3*z**2 + 3*z**2 + 4*z**3 + 1160*z**3 - 2641*z**3 + 1188*z**3.\nAnswer: -288*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(363) + (sqrt(363) + 0)**2 + 4 - sqrt(363)) + 4 - (sqrt(363)*-1 + 2 + -3*sqrt(363)*-1 + sqrt(363))**2.\nAnswer: -4735 - 132*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1186 is divided by 69.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1011101001 (base 2) to base 7.\nAnswer: 2113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 8 = 2*x, 4*x = 5*l + 9 + 3 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xux. What is prob of sequence xx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 15692 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 5*m**2 + 9*m. Suppose -2*d - 8 + 0 = 0. Let p(z) = 5*z - 24*z - 10*z**2 + 0*z**2. Let k(t) = d*p(t) - 9*b(t). Let k(c) = 0. What is c?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1045550409?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -952144 less than -952144?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1862953?\nAnswer: 1862953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of -i**5\/20 + 5*i**4\/48 - i**3\/24 + i - 2. Let y(n) be the first derivative of g(n). What is t in y(t) = 0?\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/7, 5, 610, -0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11582, -46434, -104520, -185840, -290394?\nAnswer: -418182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 3*t - 4680000 = 0. What is t rounded to the nearest one hundred thousand?\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 3*f**2)*(2*f**2 + f**2 - f**2 + (2*f + 4 - 4)*(-6*f + 0*f + 4*f) + 3*f**2 - 4*f**2 - 2*f**2).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 10. Let t(h) = -h**3 - 2*h**2 - 2*h - 1. Let v be t(-1). Let i = l - v. Solve -u = -i*u + 3 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 766119, 766154, 766189, 766224?\nAnswer: 766259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -155*s - 83*s - 26122 = -4226 for s.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i**3 + 56 + 2*i**4 + 0*i**4 - 67)*(-21 + 1 - 19 + (-1 + 1 + 1)*(-4 - 1 + 4)).\nAnswer: -80*i**4 - 160*i**3 + 440","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1001? (a) 30 (b) -2\/3 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add 21187724 and -5.\nAnswer: 21187719","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 55.24563ms in minutes?\nAnswer: 0.0009207605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -493*o - 17953 + 1684 = 0 for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2940 and 105?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -743 + 3715 = 2*y. Let l = y + -759. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(4 + (1 + sqrt(1900) + (sqrt(1900) + 1)*-3 + -3 + -3 + sqrt(1900) + -2*sqrt(1900) + sqrt(1900) + sqrt(1900) + sqrt(1900)*3*-1)**2).\nAnswer: -152340 - 3200*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 185 + -174. Solve -o = -0*o - 4, s + r = 3*o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1082320 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d = -8, 0 = -4*a + 2*d - 3*d + 10 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4 - 6780.28324988.\nAnswer: -6779.88324988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 811772, 811768, 811764, 811760, 811756, 811752?\nAnswer: 811748","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 2*r + 17. Let a be c(0). Suppose -24*q = -a*q - 371. Suppose -4*t + q - 21 = 0. Which is bigger: 2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 5:49 AM?\nAnswer: 4:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.968 + -0.968. Let m = -0.33 - 0.27. Put b, 0.1, m, -3 in descending order.\nAnswer: 0.1, b, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 703398 and 33645871.\nAnswer: 201875226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.49252 and 198.7.\nAnswer: 199.19252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -90. Let x = z - 53.1. Let o = x - 5. Sort 2\/3, -2, o.\nAnswer: -2, o, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 51 = -5*y, -5*p + 2*p - 45 = -4*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -8962 times 14?\nAnswer: -125468","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -73463, -73462, -73461, -73460, -73459, -73458?\n\"Answer: t - 73464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca - 0?\nAnswer: -ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -242 greater than 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 29*f**3*k*l**2 + 424*f**3*k*l + 4*f**3*l**2 + 2*f**3*l + 2*f**2*k wrt l.\nAnswer: 58*f**3*k + 8*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0916283um in nanometers?\nAnswer: 91.6283","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 345*u**5*y**3 + u**5*y**2 + 2*u*y**3 + 3*u*y + 8*y wrt u.\nAnswer: 6900*u**3*y**3 + 20*u**3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3058, -2840, -42, 6626, 18454, 36732, 62750?\nAnswer: 97798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*g - d - 241 + 79, 3*g - 5*d + 114 = 0 for g.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 3*z - 7 = 2*s, -s + 4 = 0. Suppose -7*v + z*n = -2*v - 17706, 0 = 3*v - 3*n - 10620. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1\/2 + 2*(-423)\/36. Let h be (-4 + -1)*(-92)\/v. Let f = h - -26. Calculate the smallest common multiple of f and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 + 5983?\nAnswer: 5983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 u when two letters picked without replacement from {u: 13, j: 3, c: 1}?\nAnswer: 13\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 10008.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1 + sqrt(28)\/sqrt(4) + sqrt(7) - 1*(sqrt(7) + 1))**2 + -1.\nAnswer: -4*sqrt(7) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q**3 + q**2. Let g be r(-1). Let n = 133595801\/143 - 934246. Let a = n - -111\/13. Is g equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 j when two letters picked without replacement from {m: 4, j: 5, v: 1}?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/5)*l**(6\/11)*l)\/(l\/(l**(1\/4)*l)*l**(-2\/5)\/l) assuming l is positive.\nAnswer: l**(167\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1815?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101009*z**2 + 3*z**3 - 101009*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 95537 and 225114568?\nAnswer: 7349","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m**3 + 20484306*m**2 - 34967150754435*m - 279738517032600 = 0 for m.\nAnswer: -8, 3414055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3, -76, 1?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 4.609437 kilograms?\nAnswer: 0.004609437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*v - b - 3 = v, 0 = -4*v - 4*b - 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -20*t**3 + 0*t**3 - 55*t**3 + (2*t - t + t)*(-132*t**2 + 134*t**2 - 60*t**2).\nAnswer: -191*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -56, 178\/3, 24, -0.4, 5 in descending order.\nAnswer: 178\/3, 24, 5, -0.4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3\/4 - 28764*w**2 + 1102581423*w\/4 + 5518661415\/2.\nAnswer: 3*(w - 19181)**2*(w + 10)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 - ((-4)\/6 + 3). Let v be 2\/2 + 3 + -3. Let a be ((-6)\/10)\/(v\/1). What is the second smallest value in 3, a, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1378*h = -1306*h - 648 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 4*m**3 - 5*m**2 + 6*m + 10. Determine x(-3).\nAnswer: -161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1597\/2 + -771. Let k = -17645\/8 - -2218. Calculate the common denominator of i and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (122\/(-3416))\/(6\/(-21))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence armm when four letters picked without replacement from mrrmarmrarrramaa?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 2*f + 2*f + 217 = 327, 3*t - f + 10 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -9*l. Let i(q) = -7*q + 6926 + 3*q - 6926. Suppose 6*n - 6 = 3*n. Calculate n*b(d) - 5*i(d).\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 PM and 10:11 AM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 75 = 2*h + 2*h, 5*h - 60 = -5*g. What is the remainder when (0 - 1)\/((-1)\/h) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-12)\/28 + 8296\/19096. Is 1 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*h = 82*h - 8 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-10)\/(-4) + -1)\/(-9*(-14)\/(-42)). Let x = -0.7 - -0.9. Which is the closest to -12? (a) 2\/7 (b) t (c) x (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3 = -3*g - 7*d, 2*g - 2*d = 2. Suppose r - g = 1. What is the third derivative of 2*i**2 + 22*i**4 + 2*i**r - 29*i**4 wrt i?\nAnswer: -168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 34 + -22. Let x = g - 9. Which is smaller: 5 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((2 + -1 + (-2 + (sqrt(1300)*1 - sqrt(1300)))*-1)**2 + -1)*-6.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -14256400 to the nearest 10000.\nAnswer: -14260000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 29*p. Let x = 49 + 23. Let f = 77 - x. Let l(v) = f*v - 45 + 45. What is 34*l(n) - 6*z(n)?\nAnswer: -4*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -77\/5 (b) 1 (c) 0 (d) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 5 + 0 - 212*o + (3 - 3 + 2*o)*(1 + 1 - 1) - 1 + 1 + o as b + c*o and give c.\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 854766?\nAnswer: 854766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42817 is divided by 8526.\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xoh when three letters picked without replacement from {x: 4, h: 9, o: 4}?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2*1*5\/35. Let c = 291 + -1453\/5. What is the closest to -11 in 0.1, c, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) be the second derivative of 265*q**6\/2 - 381*q**2\/2 - 2*q - 2089. What is the derivative of m(v) wrt v?\nAnswer: 15900*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 158 + -65. Let y = 92 - f. Which is the nearest to -1? (a) y (b) -3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 PM and 8:42 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 t, and 1 a when three letters picked without replacement from vfvavvvvlvvvlltvvvfv?\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -990.8 and 39.12?\nAnswer: -38760.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 >= -175?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 2 + j - 77*j**2 + 77*j**2 - 3*j**3. Let f be l(-1). Suppose -150 = -5*h - 3*k, -6*h + 56 = -f*h + 2*k. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*s = -3*g - 42, 0 = g + 4*s + 19. Let w be 2*(g\/(-6) + -1). Solve w*k + 4 = -k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28596162?\nAnswer: 2, 3, 7, 680861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -118, -113, -108, -103, -98?\nAnswer: -93","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1120020112 (base 3) to base 9.\nAnswer: 46215","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the second derivative of -4*m**6\/45 - 23*m**5\/45 - 13*m**4\/27 + 14*m**3\/27 + 2*m**2\/3 - 3*m + 39. Determine c, given that w(c) = 0.\nAnswer: -3, -1, -1\/3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2077 by 54.\nAnswer: -2077\/54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - p. Let o(z) = -z**3 - z**2 - z + 2. Let w be o(p). Differentiate -w*f + 3 + 3 - 5 with respect to f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1808851\/104 - -17393. Calculate the common denominator of 47\/442 and k.\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**3 - 6*m**2 - 6*m + 3. Let o(i) = i**3 + 41*i**2 + i + 36. Let t be o(-41). Calculate x(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/2 + -4 + -6. Let r be -3 - (14\/w + 4). Factor r - 1\/3*f**5 + 2\/3*f**2 + 0*f - 5\/3*f**3 + 4\/3*f**4.\nAnswer: -f**2*(f - 2)*(f - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 230*x + 100. Let u be i(6). Suppose -u + 4632 = 4*o. Is 8 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*f**2*w**6 - 20*f**2 - 142*f*w + 1078426*w**5 + 119*w**2 + 3*w wrt w?\nAnswer: 480*f**2*w**3 + 64705560*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.3 - 6.3. Let k(m) = -13*m - 56. Let x be k(-4). Let f = 1.95 - -0.05. Which is the closest to -0.1? (a) d (b) f (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16642 (base 7) in base 14?\nAnswer: 1a59","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31795, -63585, -95375, -127165, -158955, -190745?\nAnswer: -222535","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*q - 6*q**2 - 169*q - 88*q**2 - 155*q.\nAnswer: -94*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-45)\/(-4) - 6\/24. Let q(u) = -3*u - 1. Let l be q(2). Let b = r + l. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 21\/22?\nAnswer: 21\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 123317 is divided by 46.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**2 + 1. Suppose 0 = -2*m - 4 + 6. Let i(s) be the third derivative of s**5\/30 - s**4\/6 + 2*s**2. Let l(n) = m*i(n) + a(n). Determine l(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 96 - 106. Let x be (-14 + 76\/6)\/(a\/9). Solve x = 75*m - 72*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/4)\/((-3)\/6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of -14*p**6\/15 - p**2\/2 - 28*p. What is the first derivative of b(o) wrt o?\nAnswer: -112*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-1) + -5 + 8. Suppose s*i = 5 + 15. Suppose i*a = 3*d - 170, -3*a - 286 + 21 = -5*d. What is the units digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**8)\/(q**6\/q)*q**(3\/7)*((q*q\/(q**(-8)*q)*q)\/q)\/q*(q**(2\/9)*q\/(q\/q**1*q))**(-1\/9) assuming q is positive.\nAnswer: q**(7033\/567)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((sqrt(220)*-6)\/(sqrt(11) - 4*sqrt(55)\/sqrt(5)) - (-1*-1*(sqrt(405) + -3 + sqrt(405)))**2).\nAnswer: -448*sqrt(5) + 6516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22436858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Is -199662 >= -199662?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 0*d - d = 2*j - 21, 5*j = 6*d + 6688 - 6622 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -39.47 + 44.47. Let b be ((-6)\/9)\/(3\/9). Let z = -3 - b. Put 0.1, s, z in descending order.\nAnswer: s, 0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*a = -7*a - 55. Solve -4 = -j - w, j + j = -w + a for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 3 - 3 + 0 + 1 + 1 + (-2 + 5 - 1)*(2 - 4 + 3))*(8 + 4*p**4 - 8).\nAnswer: 8*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -3526528 <= -3526528?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 11206697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 29\/333 - -5\/37. Let i(x) be the third derivative of 3*x**2 + 0*x - l*x**3 - 1\/60*x**6 - 1\/45*x**5 + 0 + 7\/36*x**4. Determine k, given that i(k) = 0.\nAnswer: -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -34556 - -22796. What is s rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 5*s**9\/3024 - s**8\/336 - s**7\/168 + s**6\/72 + 5*s**3\/3 + 25. Let a(b) be the third derivative of o(b). Factor a(t).\nAnswer: 5*t**2*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 11:52 PM?\nAnswer: 1:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/18576 and -83\/174258.\nAnswer: 59944752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*c + 17*c + 73*c**3)*(-2 + 0 - c - 3*c)*(4 - 2 + 0)*(9 + 0 - 1).\nAnswer: -4672*c**4 - 2336*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 11513768 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y*y**4)*y*y\/((y*((y\/y**7)\/y*y)\/y)\/y))\/((y\/(y*y**(2\/5)*y)*y*y)\/y**(1\/6)) assuming y is positive.\nAnswer: y**(167\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*o - 12. Let d(w) = w + 3 + w + 0 - w. Let s be d(o). Solve -4*u + c = -2*c - 16, -2*u + c + s = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence srs when three letters picked without replacement from ssrrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 11 = -z, -o = 7*z - 12*z - 37 for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2 or 56?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (t**2 - t**2 - 2*t**2)*(0*t + 0*t + t) + 2*t**3 - 2*t**3 + 2*t**3 + (-3*t**3 + 2*t**3 + 0*t**3)*(0 - 2 + 1) as y + h*t**3 + o*t + f*t**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 32 - 64. Let k = -11 - t. Let l = k - 9. Calculate the remainder when 45 is divided by l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u + 114 = 14*u. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*d = 63 - 3. Calculate the smallest common multiple of 7 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78 is divided by 17.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 42981544*l - 57935488?\nAnswer: 42981544","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11738 = -1174*u - 8798 + 5274 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 - 3*o - 5*o - 8 - 5*o + 11*o + 490*o**2 to k + f*o**2 + q*o and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -j - 338 + 31, 2*w + 2*j = 118. What is the remainder when 730 is divided by w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -65, -73, 141, 577, 1235?\n\"Answer: 111*u**2 - 341*u + 165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*y*z**4 - 273*y*z**3 - 8*y*z**2 - 2049*y - 7*z wrt z?\nAnswer: 36*y*z**2 - 1638*y*z - 16*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4\/18)\/((-24)\/36). Which is the nearest to o? (a) -3 (b) 2 (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -403*i**4 + 32*i**3*u**2 - 24*i**2*u - 5*u**2 + 4*u wrt i?\nAnswer: -9672*i + 192*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*p**3 + 465864*p**2 - 34486257*p + 638071734 = 0. Calculate p.\nAnswer: -155362, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4859 or -4860?\nAnswer: -4859","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 3954270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -274069 - 14299*y + 274069 to the form n + l*y and give l.\nAnswer: -14299","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:43 AM and 7:46 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven quarters of a gram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26486.\nAnswer: 2, 17, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 - 1. Suppose 0 = -4*q + 9 - g. Suppose q = -4*v + 70. Does 17 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 - 3*h**3 + 60628 - h**2 - 60628.\nAnswer: -3*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = h**3 + 14*h**2 + 17*h - 7. Calculate g(-12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 10*a**2 + 10*a + 18. Let n(i) = 4*i**2 + 4*i + 7. Let h(u) = -12*n(u) + 5*w(u). Let m be h(-4). What are the prime factors of ((-10)\/25)\/((-1)\/m)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6534 times -0.002\nAnswer: -13.068","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -112 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-4\/11)*i**(2\/13)*i assuming i is positive.\nAnswer: i**(113\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-335)\/134)\/(31\/70). Is -7 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -56*l - 5. Solve -10 = -2*t + l*p, -5*t = -4*p - 1 - 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 277 = 3*m - 0*m + 4*s, 0 = -3*m + 5*s + 268. List the prime factors of m.\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h + 3. Calculate the remainder when f(-6) is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00100254206 rounded to five dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*k**2 + 3*k**2 - 11*k**2 - 53.\nAnswer: 7*k**2 - 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 divided by -2732?\nAnswer: -41\/1366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -192008*k + 192008*k - 82*k**3.\nAnswer: -82*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -4 + (sqrt(588)\/((sqrt(24)*-3)\/sqrt(2)))\/((sqrt(7) - 3*sqrt(847))*1).\nAnswer: -8 + sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126 and 728.\nAnswer: 6552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k when three letters picked without replacement from kkkkkkvkkkkkkvkkkvkk?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000119958 rounded to six dps?\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g + 1 + 2*g + 2*g)*(1 - 2*g**4 + 7*g**4 - 3*g**4).\nAnswer: 6*g**5 + 2*g**4 + 3*g + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 28139473 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:06 PM and 12:44 AM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(968) + -3)**2.\nAnswer: -132*sqrt(2) + 977","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five halves of a centimeter in millimeters?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ooooooooo. What is prob of picking 4 o?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-3)*(2\/(-60))\/((-6964)\/(-78345)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13082997 a multiple of 362?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17275*o + 535521. Determine w(31).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -2*z**3 + 5*z**2 - 2*z. Let v = -48 + 82. Let s = v + -32. Let g(d) = -d**3 + 2*d**2 - d. Determine s*a(i) - 5*g(i).\nAnswer: i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 409 - 407. Suppose 8 = -2*h, -2*v + 1 = 5*h + 5. Is (k\/v)\/((-1)\/(-1868)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/47, 78, 3 in decreasing order.\nAnswer: 78, 3, 1\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -32?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -3\/4, 0.19, 0.15, 8, 13, -1.2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 2*t = -36, -5*t + 2*t = q - 14. Let w(n) = q*n - 2 + 16*n - 25*n. Let r be w(-5). Put 1\/5, -2\/9, r in decreasing order.\nAnswer: r, 1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/5 - 121012*a\/5 - 121017.\nAnswer: (a - 121017)*(a + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let f = -7\/10 - -41\/30. Which is the nearest to 2? (a) 4 (b) f (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24915, -49597, -73789, -97245, -119719, -140965?\nAnswer: -160737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 792615 and 27030?\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2123.\nAnswer: 11, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 11 in 0.8, -0.02, -1\/4?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**3\/2 - 149806*i**2.\nAnswer: -i**2*(i + 299612)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*n**3 + 42*n**2 - 22*n**2 - 20*n**2.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 4*d = 2*d - 3, 7*v - 4*d - 15 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.23, 0.1, -15, 3\/2 in decreasing order.\nAnswer: 3\/2, 0.23, 0.1, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20984272?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 8\/(-3)*45\/12. Let f = -6 - n. Suppose f*h = -h + 15. Solve 4*i - 4 = l, 4*l = i + h*i - 16 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 45a96 - -3?\nAnswer: 45a99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 202811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the third derivative of -c**4\/24 - 2*c**3\/3 + 16*c**2. Suppose -3*d - 4*q = 31, -53 = -d + q - 54. Determine x(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -35*m + 24. What is p(2)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*n + 17 - 1. Let s be ((-16)\/10)\/(n\/5). What is the units digit of (-3 - s)\/(2\/130)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6393818?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16 - 13. Let f = -10\/6153603 - 5932040042\/20460729975. Let h = -2\/475 - f. Sort h, 2\/5, x in ascending order.\nAnswer: h, 2\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 163565 - 3?\nAnswer: 163562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 5, -186, -2.1?\nAnswer: -2.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.14 + 0.19. Let s = 2.95 + i. Is s less than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 295692 = -208638. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + 599*i - 610*i - 116, 34 = 2*p - 3*i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x**3 + 2*x**2 - x. Let h be j(1). Suppose -v = h*v - 15. Solve -v*z = -3*g + 7, -3*g = 2*z + 6 + 1 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -417, -431, -443, -453, -461, -467?\n\"Answer: x**2 - 17*x - 401","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 86837, -151, 5.\nAnswer: -151, 5, 86837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -d**3 - 5*d**2 - 6*d + 3. Let a(x) = -2*x + 11. Let w be a(0). Let s(l) = -6*l**3 - 26*l**2 - 31*l + 16. Let h(v) = w*n(v) - 2*s(v). Calculate h(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d - 5 = 2*d + s, 2*d + 4*s + 8 = 0. Does 14 divide 3 + d*(-33)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -1. Suppose 0*u - 2*u = 8. Is u less than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {q: 3, m: 1, s: 1, f: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r**2 + 3. Let h(t) = -t**2 + 2. Let b(g) = g**3 - 4*g**2 - 5*g - 7. Let d be b(5). Give d*h(x) + 4*w(x).\nAnswer: -x**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: ((-24)\/32)\/((-18)\/(-48))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 3*u**3 + 6*u**2 + 6. Let o be ((-15)\/6)\/((-1)\/4). Let v = 1501 + -1499. Let b(f) = -34*f**v - o - 6*f**3 - 1 + 23*f**2. Calculate 6*b(n) + 11*d(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) be the first derivative of f**4\/4 - f**3 + 4*f - 8. Let y be s(3). Suppose -y*h + 2*h = -422. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/17058055 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:34 PM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 PM and 6:24 PM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11501 + 20507. Is p a multiple of 79?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -433634160 by -5489040.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 19394120 to the nearest 1000000.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5127 bigger than 24\/523?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4, -5, 1206, 3, 31 in increasing order.\nAnswer: -5, -3, 3, 4, 31, 1206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8399855, -8399852, -8399849, -8399846?\nAnswer: -8399843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 186772 and 2491.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 25448709 take away -2?\nAnswer: 25448711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (17\/51)\/((-12)\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:32 PM and 5:11 AM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 58\/4 - 3\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 235310\/33 + -7130. Let v = d + 1009\/132. Find the common denominator of (-36)\/15 - (-1)\/(-2) and v.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(11) - sqrt(11)*-3) - sqrt(11)) + -5.\nAnswer: -5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l = -3*i - 39 + 33, 14 = 4*l - 2*i for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/12)\/((-2)\/(-3)). Let g = -1.726 - -1.626. What is the smallest value in 0.1, g, -2\/3, w?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -z + 94 - 93 + 28*z**2 - 2*z**3 + 4*z**3 in the form v + t*z**2 + p*z + j*z**3 and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23 + 341\/15. Which is smaller: -1 or v?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 699.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4283.38 - 4349. Round z to 0 decimal places.\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -2579308, -2579323, -2579348, -2579389, -2579452, -2579543, -2579668?\n\"Answer: -m**3 + m**2 - 11*m - 2579297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 131304\/143 or 918?\nAnswer: 131304\/143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the first derivative of 4*d**5\/5 - 2*d**4 - 87. Factor i(t).\nAnswer: 4*t**3*(t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 1335?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -4.726?\nAnswer: -2.363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 70*m**2 + 53*m - 3382 wrt m?\nAnswer: 140*m + 53","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 5:50 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48589, 48590, 48591, 48592, 48593, 48594?\nAnswer: 48595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**3 - 2*o**2 - 2*o - 4. Let s be j(8). Let h be s\/(-160) + (-2)\/16. Solve h*w = -d + 3*d + 8, 6 = 3*w for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26218 - 26111. What is the highest common factor of k and 11663?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 - 6*z**2 + 3. Let y be f(6). Let n be 0 + y + -4 + 4. Suppose -5*t - n*w = -27 - 41, -3*t - 5*w + 28 = 0. What is the units digit of t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - i = -166 + 80, 39 = -2*v + 5*i. Let z(h) = -h**3 - 16*h**2 + 12*h - 41. Give z(v).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 3 and 285.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 - 21. Suppose -4*p = -3*g + i - 1, -p = 4*g - 11. Suppose -8*v + 125 = -g*v. What is the tens digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i = 56. Let h(f) = -f**3 - 14*f**2 + 4*f + 20. Let n be h(i). Let u = n - -42. What is the remainder when 20 is divided by u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6 - 3. Let d = -0.017 + 0.077. Let l = d - 0.06. Which is smaller: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -10.04, 0, -1, 1, 0.5, -2?\nAnswer: -10.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 406*a**2 - 34*a**2 + 2*a - 2 + 0.\nAnswer: -440*a**2 + 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3035387 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217.0324 + 0.0324. Let m = 2325769.5785 + -2325986.57850163. Let d = s - m. What is d rounded to 7 dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 - l**4 + 3 - 11*l**4 - 5*l**4 - l**4 + (-780*l**4 + 25*l**2 - 48*l**2 + 25*l**2)*(3 - 1 - 1).\nAnswer: -798*l**4 + 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504259221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 322019.6264831 + -321788.8268. Let t = d + -230.8. Round t to 5 dps.\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -184*g + 42*g**2 - 9*g**2 + 173*g as k*g**2 + i + c*g and give c.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 0*h = 0. Let d be (4 + h)*(6 - 7). Let r(c) be the third derivative of c**6\/120 + c**5\/20 - c**4\/24 - 5*c**3\/6 + 2*c**2 + 195. Determine r(d).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2085541, -2085561, -2085601, -2085661, -2085741?\n\"Answer: -10*k**2 + 10*k - 2085541","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.047 in 0.03, 2\/11, -2, -2\/63?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -66, 122, 308, 492, 674?\n\"Answer: -w**2 + 191*w - 256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 16*i**2 + 9*i + 3. Let a be l(-15). Let k(s) = 2*s**3 + 3*s**2 - s + 4. Let m be k(4). Let g = m - a. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7320999984 a multiple of 6431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*d**2 - 7*d**2 - 8*d + 9*d as b + v*d**2 + i*d and give v.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w = -11*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 552 = -z. Let g be z\/(-14) + (-2)\/7. Suppose 184*h + 2014 = -2034. Is g at least as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -374065, -373791, -373517, -373243, -372969?\n\"Answer: 274*r - 374339","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -572*f - 210*f - 54777 = 985*f for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes before 4:59 AM?\nAnswer: 5:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 4*n - 39 = -5*n, n = -3*d + 60. What is the remainder when 80 is divided by d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -1055*f - 2116. Calculate i(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*(2184\/(-13))\/(-14)*(-21)\/(-56)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 2*z + 2. Let j be 2\/z - (-2 - 6). Let f = j - 7. Let i(h) = h**3 - 3*h**2 - 4*h + 3. What is i(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(15)\/sqrt(5)))\/(-2*sqrt(75)).\nAnswer: -sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -64, 0, 6, -2, 7, 56 in ascending order.\nAnswer: -64, -2, -1, 0, 6, 7, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7118 is divided by 596.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4275.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.732, -2\/2353, 2\/5 in descending order.\nAnswer: 1, 2\/5, -2\/2353, -0.732","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -573338, -573335, -573332, -573329, -573326?\n\"Answer: 3*a - 573341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 86.8 and 3.\nAnswer: 89.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/99 - 31\/99. Which is the biggest value? (a) p (b) -0.2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 561309213.\nAnswer: 3, 17, 1759, 6257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*m = 8, -v = -0*v + 4*m - 8. Suppose v = -3*x + 214 + 71. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 3*g**2 - 198*g - 3465. Let z(f) = 2*f**2 + 2*f + 1. Let q be -11 + -16*(-4)\/8. Let j(o) = q*z(o) + h(o). Factor j(b).\nAnswer: -3*(b + 34)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 35 = -5*s, -8 = s - 5*p - 3. Let w be (-12)\/(-15)*s\/7. Let l = 44.7 - 44.4. Which is the closest to 0.1? (a) -1\/5 (b) w (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of x**6\/120 + 7*x**5\/60 + 5*x**4\/24 + 2*x**3\/3 + 10*x**2. Calculate f(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 16*f**2 + 4*f - 1. Let s be c(-5). Suppose -4*w + 2*j + 223 = -1295, -2*w = s*j - 744. What is the greatest common factor of w and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**4 + 177*i**3 + 1881*i**2 - 22869*i.\nAnswer: 3*i*(i - 7)*(i + 33)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1391*s + 1371*s. Sort s, -5, 1310, 1, -2 in increasing order.\nAnswer: -5, -2, s, 1, 1310","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -71? (a) -0.798 (b) -77 (c) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35880349?\nAnswer: 35880349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 19.9 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 23 + -421. Let l = t - -397.998493. What is l rounded to four dps?\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 9 = 3*k, -5*k + 5*h - 25 = -0*h. Which is the closest to -4? (a) -2 (b) k (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 114926 less than -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 19 + 1?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165751253 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 4 + 0 = 0. Suppose i - 5 + 2 = 0, -x*i = 5*w - 152. Calculate the remainder when 79 is divided by w.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*d + 108 - 300 = 342 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 12698345999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 35.68 + 0.42. Let g = -32.1 + j. Which is the second biggest value? (a) 3 (b) g (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*k**3\/9 + 8*k**2 - 22*k\/3 + 16\/9.\nAnswer: -2*(k - 8)*(2*k - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24\/53 - 457\/424. Let n be 3\/3 - 2\/6. What is the closest to n in 2, -2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*v - 317078 = -344*v + 8187*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.474 - 3.61. Let k = s + 2.1. Let o = k + 0.036. What is the nearest to -1\/3 in 2, 3, o?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -115836\/1581832115 - -1\/100021. Let p = -534522445931\/5 + 27051111945115229\/253040. Let q = x + p. Calculate the common denominator of -35\/12 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -14. Let p = t + -1. What is the units digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**2\/3 + 79*f + 1960\/3.\nAnswer: -(f - 245)*(f + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44566 is divided by 10967?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2836492 and 40?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the first derivative of -1\/4*g**4 - 2 + 0*g**2 - 2\/3*g**3 + 0*g + 2\/5*g**5 + 1\/6*g**6. Factor y(k).\nAnswer: k**2*(k - 1)*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -502326 (base 8) to base 6.\nAnswer: -3312130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -48 - -54. Let t(a) = -a**3 + 10*a**2 - 15*a - 19. Is t(o) a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*b + 11*b - 3 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 + 14*x - 49. Calculate w(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -4) + 8 - ((-8 - -30) + -17)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 2*i = 260, -196 = -o + 4*o - i. Let z = 72 + o. Let b(w) = w**3 - 7*w**2 - w - 9. Let d(m) = -m**3 + 6*m**2 + m + 8. Determine z*b(f) + 7*d(f).\nAnswer: -f**3 + f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 48, 76, 104, 132?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 27*o**2 + o - 14. Determine f(27).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - -6. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -5*t**3 + 9*t**2 - 6*t - 13. Let a(r) = r**3 - r**2 + r + 1. Let z(b) = -4*a(b) - k(b). Is z(8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/5, -0.1, 3\/8, -0.0364?\nAnswer: -0.0364","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54 + -20 - -64) + 65.\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 411 + -602. Let j = 247 + i. What are the prime factors of j?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -9*u + 6*u - 6*u. Let a(o) be the second derivative of 1\/24*o**3 + 0 + u*o**2 - 1\/48*o**4 + 6*o. Factor a(n).\nAnswer: -n*(n - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -12 + 40. Let i = 18 + z. Suppose 0 = -5*b - 15, -204 = -2*m + i*b + 10. What is the tens digit of m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -377*n**2 + 375*n**2 - 2*n**3 + 1 - 2 + (n**2 - 5*n**2 + 2*n**2)*(-5*n + 0*n + 3*n).\nAnswer: 2*n**3 - 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 67.97706005 - -0.06\nAnswer: 68.03706005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-one halves of a litre?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 549 or 547?\nAnswer: 547","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 158722 and 106682?\nAnswer: 2602","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.122 - -0.252. Let l = r + -0.1299312. What is l rounded to five decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 951552?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9364.7 + 395.\nAnswer: 9759.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 51755115353 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11002033*m**2 - 4800288.\nAnswer: 22004066*m","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 350*f**3 + 43*f**2 - 109*f - 24. Is 31 a factor of s(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2767581 is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -36915015 divided by -5\nAnswer: 7383003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -746*d + 55*d**3 - 57*d**3 + 746*d - 15*d**2.\nAnswer: -2*d**3 - 15*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-6)*40\/(-15). Find the second derivative of 0*a - a**p - 3*a + 2*a**4 wrt a.\nAnswer: 12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of q**6\/150 - 43*q**5\/75 + 16*q**4\/3 - 104*q**3\/5 + 71*q**2. Solve w(y) = 0 for y.\nAnswer: 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24571123 rounded to the nearest ten thousand?\nAnswer: -24570000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -11 + (-15)\/(-3 + -2). Let i = 12 + k. Solve p = -i, -2*q + 4*q = p - 4 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -83 - 3f636?\nAnswer: -3f6b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 - (12 - 0)*7\/14.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t - 15 = t + 2*m, m = -4*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 178 and 0.32.\nAnswer: 178.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -19906808 divided by -51976\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -167 - -241. Calculate the remainder when w is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1167, 1355, 1541, 1725, 1907, 2087?\nAnswer: 2265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 294 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**2 - 8*h + 23. Let r be u(5). Suppose r*g - 6*g - 2 = 0. What is the lowest common multiple of g and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 749442.5t in milligrams?\nAnswer: 749442500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - -9 - 8 - -9.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38609, -77218, -115827, -154436, -193045?\nAnswer: -231654","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of -o**5\/30 + o**2. Let f(z) be the first derivative of 7*z**2\/2 + 46. What is u(f(p))?\nAnswer: -98*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2 and 314.\nAnswer: -628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 557029130 a multiple of 70?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9074?\nAnswer: 2, 13, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = f + 13. Let d = 6 - -3. Does 22 divide j(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -12*a + 11*a. Let g(k) = 4*k - 1 + 1 + 0*k - 3 + 3*k**a. What is the remainder when g(2) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2 and -137877.\nAnswer: -137875","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (0 - 0) + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (94\/(-8))\/(908\/2043 - 25\/36). Solve 15 = t*h - 42*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2030, 1548, 1066, 584, 102?\n\"Answer: -482*c + 2512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + sqrt(28) - (sqrt(7) + sqrt(42)\/sqrt(24) + sqrt(7) - (1 + sqrt(1008)))**2.\nAnswer: -2507\/4 - 17*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 84 - 84.074. Let h = 90.074 + n. Let v = 89.7 - h. What is the nearest to -0.2 in 1\/3, -1, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/26652700 and -43\/27990?\nAnswer: 239874300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -61 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 3*x + 51 = 0, 0 = l + x + 4912 - 4908 for l.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxltt. What is prob of sequence xx?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-22)\/(-33) + (-17 + 18 - (-62)\/6).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 116 + 397 = 0. What are the prime factors of x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the third derivative of 13*v**4\/12 - 11*v**3\/2 - 28*v**2 - v. Give h(3).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 3, 29 = -3*x + x + c. Let r = -13 - x. Let o(g) be the first derivative of -g**3\/3 + g**2 + 2*g + 1. Determine o(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 617 is divided by 161.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 72205820?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3232291383.\nAnswer: 3, 359143487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 962089908?\nAnswer: 2, 3, 13, 17, 23, 15773","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6157 + 6164. Which is smaller: -255 or l?\nAnswer: -255","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, j: 3, p: 2, h: 6, x: 1}. Give prob of sequence hp.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 84079994 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is the product of -66591 and -0.1?\nAnswer: 6659.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is ((210\/75)\/(-7))\/((-1)\/(-35)) + 13?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(39) + (-1*sqrt(156))\/sqrt(4) - 4*sqrt(156)\/sqrt(4))\/(sqrt(21)\/(sqrt(7)*2) - -1*sqrt(12)))**2 + 5.\nAnswer: 957\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l\/l**(-6\/13)*l*l**(-2\/17) assuming l is positive.\nAnswer: l**(518\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 183746 + -67587. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that o**2 + 0 - 11\/2*o**3 + 0*o = 0.\nAnswer: 0, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*h - 12 = 0, -3*h + 22 - 9 = 4*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of -365558328 and 34955.91.\nAnswer: -365523372.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 23*r - 12*r + 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -26*r + 3450. Calculate n(179).\nAnswer: -1204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -h**3 + h**3 - h**3 + (3*h - 7*h + 3*h)*(0 + 0 - 2*h**2) + (-h + h - 3*h**2)*(-5*h + 0*h + 4*h).\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:29 AM and 7:39 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 19, m: 1}. What is prob of picking 3 m and 1 e?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 9\/(135\/(-10))*-201. Does 22 divide 3\/(-9) + n\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/5)\/3*-5. Suppose 5*m - 10 = 0, -2*a + 0*a - q*m + 12 = 0. Solve -a*k = -3*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 6*s**5\/7 - 59686*s**4\/7 + 397658*s**3\/7 - 178754*s**2\/7 - 1829264*s\/7 + 1192920\/7 = 0.\nAnswer: -2, 2\/3, 3, 5, 9941","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 206451*m*v**4 - 1106260*m - 1113*v**5 - 119*v**2 wrt v?\nAnswer: 4954824*m*v - 66780*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (2 + 24\/(-9))*(-44919)\/434?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/3))**(19\/5)\/(n**(-2\/7))**(-1\/23))\/(n*(n**(-7)*n)\/n*n**(-2\/7)\/n*n)**23 assuming n is positive.\nAnswer: n**(355228\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(-p**2 - 6*p**2 + 0*p**2) + 0*p**2 + p**2 - 2*p**2 + (6*p - 3*p - p)*(-4 + 4 - p).\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 122, 527, 1194, 2117, 3290, 4707, 6362?\n\"Answer: -n**3 + 137*n**2 + n - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35 and 2611220.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1161006 and 231.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a decade in months?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = g**3 + 12*g**2 - 8*g - 3. Let c be z(-13). Let m = c + 169. Let k = 150 - m. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d + 9d489?\nAnswer: 9d47a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7085 + 67426 + 3*t**2 + 62084 + 1086*t - 24142.\nAnswer: 3*(t + 181)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 9:48 PM?\nAnswer: 8:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-3))\/((-6)\/(-24)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 3*g + 32. Let z be c(-9). Suppose -2959 - 66 = -z*i. List the prime factors of i.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97.2 + -19.2. Let m = l - 77.99999951. Round m to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*h**4\/3 + 435838*h**3\/3 + 871660*h**2\/3 = 0. What is h?\nAnswer: -217915\/2, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = 44*b - 152, 4*b + 11832*r - 2 = 11834*r for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**4 - 4159024*q**3 - 2162189238092*q**2 - 4324365999120*q - 2162180920050.\nAnswer: -2*(q + 1)**2*(q + 1039755)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 0 - -3 - ((-48)\/3 - 2). Solve -13*i + 20*i - j = 0 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-10)\/6)\/((-7)\/84). Suppose 4752 = 11*p - 7*p. Is p\/v - 6\/15 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-4) + 1)\/(8\/(-16)). Suppose -3*s = -j - 12 + u, -j = -2*s + 8. Suppose -s*o = -o + 6. Sort -0.1, -2\/5, 1, o.\nAnswer: o, -2\/5, -0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4051.\nAnswer: 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -4 - 0 - (2 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 0, -36, -132, -318, -624, -1080, -1716, -2562?\nAnswer: -3648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2212 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2*s + 1. Let o(l) = 2*l + l - 2 - 2*l. Let b(p) = 6*p - 10. Let a(i) = b(i) - 5*o(i). Give 13*a(z) - 6*q(z).\nAnswer: z - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10 (base 12) to base 4.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -12.28. Let t = g + 0.4. Let x = -0.42 + t. Which is the nearest to -3? (a) x (b) 2\/3 (c) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.447 (b) 0.4 (c) -1\/11 (d) -0.7 (e) 4 (f) -0.1 (g) -67\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -17, -52, -147, -332, -637, -1092, -1727, -2572?\n\"Answer: -5*r**3 - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -794428 = -94*m + 18*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -345304 = -17*l + 245276. What is l rounded to the nearest 1000?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 31*g + 70. Let p be c(-33). Solve -5 = -p*o + 5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 27682 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o = -19 + 2. Suppose 4*j - o = -r, -r + 12 = j - 5. What are the prime factors of r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -328 - 168 = -4*b. What are the prime factors of b?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3604871 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20289078?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 4*i - 5. Let f(w) = -2*w + 12. Let z be f(9). Calculate the remainder when 12 is divided by m(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 - d + 10. Let q = -11 + 19. Let u be z(q). Solve -4*b + 10 = -u for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6012*v + 21832 = 1758*v - 1095*v - 111668 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -342*h**3 + 15*h**2 - 13*h + 17. Is d(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9800)\/64 + -31 + 8738\/272.\nAnswer: -152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2154*r**2 + 968*r**2 + 35*r**2)*((5*r - 3*r + r)*(3 - 4 + 2) - r + 2*r + 0*r + 2*r + 4*r - 5*r) in the form z + n*r**3 + y*r**2 + b*r and give n.\nAnswer: 15785","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (12 - (-12 - -16))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4*q**3 + 50*q**2 + 101*q wrt q.\nAnswer: -24*q + 100","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {c: 2, p: 4, m: 1, l: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 157349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 take away 3.04?\nAnswer: -2.997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*z + 3*z, -5*k = -5*z + 35. Let u(i) = i**3 - 4*i**2 + 3*i - 10. Let q be u(4). Let b be k*(15\/9 - q). Solve -j - b + 1 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 9*a + 13. Let s be (-2*22)\/4 - 2. Let k(d) = 2*d**2 + 4*d + 6. What is s*k(u) + 6*o(u)?\nAnswer: -2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -218791 divided by 1345.\nAnswer: -218791\/1345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13606 is divided by 145.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*y + y = -28. Let v be (-1 + (-35)\/(-10))*(-8)\/(-10). Suppose -44 + 6 = -y*h + v*p, -31 = -3*h + p. What is the least common multiple of 24 and h?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9172603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 4*b - 1. What is the remainder when 106 is divided by c(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*n - 5046*n + 118*n + 337789 = 69994 for n.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -352598.7 to the nearest 100.\nAnswer: -352600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -132134*j + 15807.\nAnswer: -132134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 - 1)*(0 + 0 + i)*(-5*i**2 + 3*i**2 + 3*i**2) to the form p + l*i**3 + z*i**2 + r*i and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 1. Let s(z) = -z + 8. Let a(h) = -2*b(h) + s(h). Let k be a(-4). Is 13 a factor of (246\/18)\/(k\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -537 and 0.7.\nAnswer: -536.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28688324 - -44228642. Let y = -15540317.92399949 + d. Let p = 0.076 - y. What is p rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -38, -1, -52 in decreasing order.\nAnswer: 12, -1, -38, -52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3032 - 3028. Sort -5, -4, -121, m, 8 in increasing order.\nAnswer: -121, -5, -4, m, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 9. Let y(n) = 1 - 2 - 6*n**3 + f + 5 + 7*n**2. Let w(r) = -r**3 + r**2 + 1. Suppose -t = t + 2, 5*a - 3*t = 13. Give a*y(o) - 14*w(o).\nAnswer: 2*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7750, -7748, -7746, -7744, -7742, -7740?\n\"Answer: 2*v - 7752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2 + -1434?\nAnswer: -1432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**5 - 2*x**3 - 2*x**4 + 2*x**3 + (-x**4 + 3*x - 3*x)*(1 - 1 + 2*x) - 20*x**2 + 20*x**2 + 30*x**5.\nAnswer: 24*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h - 4*h + 256*h**2 - 426 + 428.\nAnswer: 256*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 487167.\nAnswer: -4\/487167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 5744 divided by 4?\nAnswer: 1436","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -10. Suppose 4*w = 27 - 31. Let l be v + -4 + 2\/w. Which is the second smallest value? (a) l (b) 4\/5 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 907.7 - 908. Which is the closest to 4? (a) h (b) -4 (c) 0.5 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -499125 - 55*n**2 - 9075*n - 1\/9*n**3 = 0. Calculate n.\nAnswer: -165","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 - 49*q + 556. Let z be f(32). Let g = 6 + 0. List the prime factors of 1004\/z - 3 - 4\/g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -4\/5, 2\/13, 11, -44\/29?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(27) + sqrt(27) + sqrt(27) - (5 + -3*sqrt(3))**2) + 3 + -3.\nAnswer: -52 + 27*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*w**2 - 8*w**2 + 0*w**2.\nAnswer: -8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -367909 - -5239491. Suppose 0 = a - 0*v + 4*v + 4871587, 5*v + m = -a. Let g = a - -2471607. What is g rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15.3 + -15.1. Which is the nearest to h? (a) 0.5 (b) 2 (c) -7\/6 (d) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-110)\/(-7810))\/(2\/(-4)).\nAnswer: -2\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*l - 75864316 = -75865052 for l.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -2\/5 (c) -2\/19 (d) 0 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 89 + -415. Let z = 4535 - j. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 23.690367ms?\nAnswer: 0.0000065806575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5477961 is divided by 119086.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*d**2\/9 + 2062*d\/9 + 121744\/9 = 0. Calculate d.\nAnswer: -56, 1087","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, -52, -0.4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*q - 20 - 5, 3*k + 5*q - 2*q - 7*q + 8 = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*z**2 - 13 + 13 + (2*z - 2*z + 4*z)*(-7*z + 19*z - 15*z) - 5*z**2 + 5*z**2 + z**2 in the form w + q*z**2 + r*z and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 186125.0200071 - 186125.4. Let g = 0.27 - -0.11. Let o = g + a. Round o to 6 decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4704369 grams in kilograms?\nAnswer: 0.0004704369","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 4*f + 298 = 0, -y + f = -3*f - 149. Suppose -3*c - y = -4*c. Let i = -59 + c. What is the highest common divisor of i and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 43.76 + -50.36. Put 0.07, 0.4, s in descending order.\nAnswer: 0.4, 0.07, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*y + 4*a - 12, 0*a + 4*a = -4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -201 divided by -3\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, j: 3, m: 4}. What is prob of sequence jeee?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 3*q - 10 = 0. Suppose 17*n = 26*n - 477. Let r = -50 + n. Sort 0, r, q, 6 in descending order.\nAnswer: 6, r, q, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 - 3*m**2 + 7*m - 6. Let r be w(-5). Let n be ((r\/(-15))\/((-7)\/210))\/1. What is the highest common divisor of 108 and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z**2 + 8769248*z + 149078372 = 0. What is z?\nAnswer: -17, 2192329","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 22 = -8*y + 4*y, 2*y = 4*j - 26. Suppose -2*k - 4*m = -3*m - 7, -2*k + j = -m. Solve 2*h = -k*h + 10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000 (base 2) to base 6.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 5*y**3 + 3*y**2 + 4*y - 7. Let j(z) = -6*z**3 - 4*z**2 - 4*z + 8. Let i(v) = 7*g(v) + 6*j(v). Calculate i(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -4*d**3 + 12*d**2 + 8*d + 13. Let j(t) = -721*t + 724*t + 4 - t**3 - t**2 + 5*t**2. Let p(f) = 14*j(f) - 4*q(f). Determine y, given that p(y) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - q - 136 - 3*q**2 + 2*q**3 + 140 + q**2 in the form g + s*q**2 + l*q + b*q**3 and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-4\/7)*a)\/((a\/a**(-8))\/a))**(1\/30)\/((a*a**0)**(-1\/31)*a**(-1\/11)\/(a\/(a*a**(-1\/6)*a*a))) assuming a is positive.\nAnswer: a**(-23423\/11935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a + 2. Let i be c(2). Suppose n - 4*n + i = 0. Calculate the lowest common multiple of n and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3\/3 - 30540*h**2 + 171236000*h + 125833006000\/3.\nAnswer: 4*(h - 11570)**2*(h + 235)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8354 + 8384.992. Let j = o - -0.008. Let y = j + -30.7. What is y rounded to 1 decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -91, -3, 2, 4 in descending order.\nAnswer: 12, 4, 2, -3, -91","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a hour in seconds?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*c**3*s**2 - c**3*s + 136*c**3 + 18*c**2*s**2 + 204*c wrt c.\nAnswer: -84*s**2 - 6*s + 816","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + -83 + 80 + 36\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6\/1*((-66)\/(-18) - 3). Let s = m - 258. Round s to the nearest 100.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 86579 (base 16) in base 7?\nAnswer: 4451162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 59485799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + ((sqrt(13)*1 + sqrt(13))**2 - sqrt(13)))*5.\nAnswer: -5*sqrt(13) + 275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2639*b**3 + 143*b**2 + 143*b + 143. Let n(a) = 110*a**3 + 6*a**2 + 6*a + 6. Determine 143*n(d) - 6*v(d).\nAnswer: -104*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4411.3413 rounded to the nearest 10?\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-86)\/4)\/(8\/(-48)). Suppose o - v = -23. Factor 48 - o*p**2 - 17*p - 7*p + 109*p**2.\nAnswer: 3*(p - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 21 + (2 - (7 - 2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4261 - 4201. Solve -c = 36*q + 48 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 12:45 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 25 - 23 - 0 for b.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 233607880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.54809 millilitres to litres.\nAnswer: 0.00954809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 64673 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**3 - 3*q**2 - q + 2. Suppose 0*f = -4*f - 3*o - 7, 21 = -2*f - 5*o. Let w be (-3 - -2) + (-2)\/f. Let n be u(w). Solve n = 6*k - k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 528214469 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) be the second derivative of d**3\/6 + d. Let m(c) = -5*c + 1. Suppose -3*j + 14 = -4. Suppose 30 + 24 = 73*q - 19. Calculate j*b(i) + q*m(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 414 - 699. Suppose 8*n + 90 = 6*n. Let l = g + n. Round l to the nearest 10.\nAnswer: -330","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 0*w**4 + 0 + 1\/15*w**5 + 85*w**2 + 0*w + 0*w**3. Let r(q) = -q - 16. Determine y(r(h)).\nAnswer: 4*h**2 + 128*h + 1024","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 20*d**2 - 6*d + 14. Let h be (21*1)\/((-15)\/(-10)). Let l = 8 + -13. Let n(a) = 7*a**2 - 2*a + 5. Determine h*n(y) + l*q(y).\nAnswer: -2*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - h**2 - 2*h - 5*h**2)*(-3*h**2 + 3*h**2 + 3*h**3).\nAnswer: -15*h**5 - 6*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 540 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the second derivative of t**7\/420 - t**6\/60 + 25*t**3\/3 - 63*t. Let l(g) be the second derivative of x(g). What is j in l(j) = 0?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.99 - 0.01. Let k = 0.13 - -13.37. Let g = k + l. What is the third smallest value in g, -2\/11, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*x = 325*x + 800 for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a = -5*a - 20 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7448 and 336.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**2 - 120172691*y + 133747313 wrt y?\nAnswer: -2*y - 120172691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -4*o - 4. Let s be t(-3). Suppose 3*c = -2*c + 40. Calculate the greatest common factor of s and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, b: 2}. Give prob of sequence xx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120320032 + 1221?\nAnswer: -120312211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23299 and -5.\nAnswer: 23294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 - 6. Suppose d*x - 2*x = 39. Let q = x + -6. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/(-8) - 2)\/(171\/228).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 1176, 1444, 1704, 1956?\nAnswer: 2200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*g**2*p**4 + 289*g**2*p**2 - 125*g**2 - 20*p wrt p?\nAnswer: -204*g**2*p**2 + 578*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + 0. Let t be 2*-1 + -8 + i. Let p(g) = g**2 + 5*g + 2. What is p(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -86 + 86. Let k = 11\/10 + 2\/5. Let v = k + -9\/4. Is v equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 + (-9 - (11 + (-6 - 11)))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 513\/5 + -103. Suppose 4*o + 36 = -0*o. Let i be -2 + ((-60)\/o)\/4. What is the third biggest value in d, 5, i?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*c**2 + 15*c*p - 545*p with respect to c.\nAnswer: 38*c + 15*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -3*y. Let j(x) = -331*x + 150*x - 126*x. Determine m(j(o)).\nAnswer: 921*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 95884, 191765, 287646, 383527?\nAnswer: 479408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 54*h - 11*h + 172 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/9 of a week in minutes?\nAnswer: 35840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23)\/1*(-1 + (-90)\/(-63))\/((-30)\/(-70)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 12:39 AM?\nAnswer: 1:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -9*u - 4. Let v(o) = 41*o - 36. Let k(h) = -4*d(h) - v(h). Give k(10).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-1\/4))**33\/((k\/(k*k**(-1\/3))*k*k)\/k*k**(-3\/7)) assuming k is positive.\nAnswer: k**(2003\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/7)\/s)\/s**(5\/4) assuming s is positive.\nAnswer: s**(-75\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -453150 (base 6) in base 11?\nAnswer: -26857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2057) + -2 + sqrt(2057))**2 - (sqrt(17) - (-2 + 0 + sqrt(17))).\nAnswer: -88*sqrt(17) + 8230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*a - 12*a = -112988. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -61, -98, -159, -244?\nAnswer: -353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 377\nAnswer: 37.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -37387 + 126883?\nAnswer: 78485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:28 AM and 7:54 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = 6*d. Let u(y) = -y**2 - 24*y - 122. Let g be u(-13). Let l(z) = -g*z + 1 + 3*z - z. Calculate l(f(c)).\nAnswer: -114*c + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8983.3 hours in milliseconds?\nAnswer: 32339880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2958?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 248300 is divided by 123119?\nAnswer: 2062","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 - 6*p**2 + 4*p + 6. Let c be g(5). Let n = c - -9. Suppose -4*x + n + 12 = 2*j, 3*j - 33 = -5*x. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 0 = -9. Let h(u) = -18*u - 1. Give h(f).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5\/5)\/(3\/(-156)). Let b = -26 - t. Let m be 2\/3 + 74\/6. What is the highest common factor of m and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96754057 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -558, -4 in increasing order.\nAnswer: -558, -4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7966*o**5 + 33*o**4 + 446112*o**2 wrt o.\nAnswer: 477960*o**2 + 792*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 15 (base 9) to base 7\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -4*v**3 + 2*v**2 + 2*v + 1. Let t be d(-1). Suppose 100 = -t*w + 10. What is the units digit of (-2568)\/(-108) - 4\/w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 91*k**2 - 38*k + 49. Is 16 a factor of o(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, -15433 in increasing order.\nAnswer: -15433, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-282))\/((55\/(-1100))\/((-1)\/15)).\nAnswer: 2\/141","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 54999 and 1134.\nAnswer: 109998","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 * -2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 5950000 to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-25392)\/(-19044)*1\/(-56)?\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 20.4914556ms?\nAnswer: 0.000000237169625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 2*h + 7 = 0, 28*h = 2*i + 24*h - 14. Put 3, i, 5, -15, -3 in descending order.\nAnswer: i, 5, 3, -3, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32192 + -31687. What is the hundreds digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(21) - sqrt(1344)*-3)\/(4*sqrt(192)).\nAnswer: 25*sqrt(7)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u**3 + 382*u**2 - 1107*u + 63*u - 381*u**2 as g*u + t + i*u**2 + q*u**3 and give i.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -3, 2, -130191 in decreasing order.\nAnswer: 5, 2, -3, -130191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46 + 32 = z + 5*c, 5*z - 4*c - 75 = 0. Solve z*n - 15*n + 4*m = 0, 2*m = -2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6 + 7. Let z(i) be the second derivative of -i**5\/4 + i**4\/12 + i**3\/6 - i**2\/2 + i. Let s be z(b). Sort s, 1, -2.\nAnswer: s, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the third derivative of 0 + 0*g + 2*g**4 + 13*g**2 - 1\/30*g**5 - 23\/3*g**3. Factor w(u).\nAnswer: -2*(u - 23)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -79+16596\nAnswer: 16517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 22\/4*(-1 + -1). Let r = a + 16. What is the second derivative of -8*p + 4*p**5 + p**r - p**5 + 2*p**5 wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -213 - 1?\nAnswer: -214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jjo when three letters picked without replacement from {o: 2, j: 7, a: 2, c: 8}?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-10) + ((-196)\/(-90) - 2)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1\/66 (b) -0.18 (c) -0.4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r = -4*f - 0*r + 4, 0 = f - 2*r - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 23920958 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: Let z(j) be the first derivative of -35*j**2\/2 - 261*j - 112. Calculate the remainder when 31 is divided by z(-8).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/120 and 52\/35.\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x**3 - 3*x**2 - 2*x + 3. Let a be z(1). Let y(d) = d**2 - 15*d - 35. Let h(j) = j**2 - 3. Let t(n) = a*y(n) + h(n). Suppose t(c) = 0. Calculate c.\nAnswer: -2, 19\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -3*s - 1. Let m be (-2)\/(-4)*-1*4. Let g be b(m). Let o = 283 - 268. Calculate the highest common divisor of g and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 8 - 4. Let r = 11 - 8. Suppose 0*d + r*d = 5*h - 1, 29 = 3*d + h. Calculate the smallest common multiple of c and d.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 20*y**3 - 18*y**2 - 38*y - 17. Let x(r) = -7*r**3 + 6*r**2 + 13*r + 6. Let s(m) = 6*t(m) + 17*x(m). Let l be s(7). Solve -10 = -5*z - l*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(6*sqrt(306))\/((sqrt(2) - (sqrt(288) + (sqrt(288) - (sqrt(288) + 2*sqrt(288)) - sqrt(288)) - sqrt(288) - sqrt(288))) + sqrt(2) + sqrt(2)).\nAnswer: -18*sqrt(17)\/17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -7*n - 303. Let y be s(-44). Solve 0 = 5*c + y*m + 15, -5*c - 6*m - 15 = -2*m for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-28)\/8)\/1)\/((-1015)\/10440).\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(1\/13)\/i*i)\/i**(11\/3)*i**(1\/47)\/i**(-6))**8 assuming i is positive.\nAnswer: i**(35656\/1833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*r - 7*r - 640 = -53*r for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 785309233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fffx when four letters picked without replacement from xxfxfxfxxx?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (-100)\/((-5)\/1). Solve 0 = 5*g + 3*u - 45 + 11, -u + w = 4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3010 + 1022331021?\nAnswer: 1023000031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 19259599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135421 and 8294.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -1)*2 + 77 + 3. Suppose 2*n + 28 = t. Calculate the remainder when 42 is divided by n.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 45 = 50. Suppose 5*q + 10 = a. Let h(c) = 3*c**2 + 9*c - 4. Calculate the remainder when h(5) is divided by q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.017 - 45.983. Let p = f + 46. Which is the third biggest value? (a) -0.4 (b) p (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -2*l**6\/15 + l**5\/5 + 23*l**4\/6 - 4520*l**3\/3 - 167*l. Find the second derivative of d(j) wrt j.\nAnswer: -48*j**2 + 24*j + 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33683, 67368, 101053, 134738?\nAnswer: 168423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -1\/10 (c) -0.0082\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 2*c + 1045 = 0, c + 0*c - 427 = -2*q. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -204 + 213. Put p, -0.5, 0.2 in ascending order.\nAnswer: -0.5, 0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*c**2 + 6*c**2 + 0*c**2)*(-2*c**3 + 3*c**3 - 3*c**3).\nAnswer: -32*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**5\/(u\/u**(-5)*u)*(u**0)**(-48))**(-28) assuming u is positive.\nAnswer: u**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 4822 + 1460 = 0. List the prime factors of n.\nAnswer: 2, 3, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -4*z + 4. Let o be 32\/732*9\/z. Which is the third smallest value? (a) -5 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2770, -11222, -25258, -44878, -70082, -100870?\nAnswer: -137242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 46837519 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, 0.06, 2, -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -15*b + 6. Let a be l(-2). Suppose 13*p + 3519 = a*p. What is the tens digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 200 divided by -258299?\nAnswer: -200\/258299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 8. Suppose 2*u + 39 = 5*u. Let z = u + x. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 386425077 divided by -10443921.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 180 divided by 7\nAnswer: 180\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11 + -5. What is the third derivative of 15 - 5*u**6 - 3*u**2 + 2*u**s - 15 wrt u?\nAnswer: -360*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -128*g = 99*g - 142*g + 2125 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2180846, 4361455, 6542064, 8722673, 10903282, 13083891?\n\"Answer: 2180609*f + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10364797 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = b**2 + 4*b + 6. Let p be j(-4). Suppose 9 + p = 5*w. Put -1, w, 4 in decreasing order.\nAnswer: 4, w, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -206 + 190. What is the closest to f in 2, -6\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3304, 6702, 10210, 13882, 17772, 21934?\nAnswer: 26422","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 4*d**2 - d - 7. Let o be y(-4). What is the closest to 2\/7 in o, 2\/17, -5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + (6*3)\/1. Suppose 2*p - 5*p = -b. Let f(m) = -3 - 3 + p + m. Let a(v) = -4*v**2. Determine f(a(j)).\nAnswer: -4*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f - 10. Let r be q(-4). Suppose -r = -0*p - p, -1370626 = -2*b - 3*p. Let j = -364690 - b. What is j rounded to the nearest 100000?\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1326590323 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -264870, -1059506, -2383900, -4238052?\n\"Answer: -264879*q**2 + q + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -473*w + 2. Let v be y(-2). Suppose 4*z - 7*z - v = 0. Let r = 199 - z. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 982.1417 centuries?\nAnswer: 9821.417","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fofwfojfwz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 5*p**2 - 3*p + 3. Let j(r) = 6*r**2 - 4*r + 4. Give 4*i(z) - 3*j(z).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32 + -24. Suppose -3*l - 247 = -4*u, 2*u - 2*l = 91 + 35. Let g = u - -14. Calculate the highest common factor of j and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -808 + -dd96?\nAnswer: -107a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -383820 + 0.4?\nAnswer: -383819.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 280 = 4*q, 3*v + 2*q = v - 196. Round v to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.05 and -2490.\nAnswer: -2484.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-6720)\/(-816) - 12\/51\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-56)\/(-12) - (4\/6 - 0). Suppose v = -y*v - v. Solve -2*i = -3*k - v*k - 16, i - k = 6 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) be the first derivative of 0*d**6 + 0*d**4 + 4 + 0*d**5 + 0*d + 0*d**2 - 1\/7*d**7 - 1\/3*d**3. Find the third derivative of t(c) wrt c.\nAnswer: -120*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -138384*s**2\/5 - 16368*s\/5 - 484\/5.\nAnswer: -4*(186*s + 11)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6175128 + 6595039265\/1068. Let h = y - -5\/267. What is the common denominator of h and 81\/14?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 14\/531 + -1283\/177. Find the common denominator of m and -29\/70.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f - 128316 = -v - 128538, 0 = -3*v + 18*f + 1359 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2\/9, -0.08, 0.04, -0.2, -0.4?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 753270 to the nearest integer?\nAnswer: 868","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 38939 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 344.8 + -219. Sort -0.5, f, -5.\nAnswer: -5, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 59371 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2829*o - 39639. Give h(-14).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10843 greater than 390379\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 3 t when four letters picked without replacement from {g: 2, i: 4, t: 10, b: 3}.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**2 - 3*x - 4. What is v(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -24556746 and -350.\nAnswer: -24557096","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.0362 and 186244.07327?\nAnswer: 186244.10947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 4 + 0 + 9*l + 2 - 4*l + 4*l. Let d be ((-203)\/49 + 4)*-7. Let f(g) = -g - 1. Suppose -2 = 3*o - 17. What is d*w(u) + o*f(u)?\nAnswer: 4*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - 3005404?\nAnswer: -3005405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 147550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 13*l**2 - 14*l + 5. Let p be q(13). Let a = p - -177. Solve k - 1 = -a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 5*b + 3*b + 10 = 0, 5*h - 25 = 3*b. Suppose 2*q - 8 = h*j, -4*q - j + 0*j = 6. Is q greater than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38234 divided by 31.\nAnswer: 38234\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 63 and 45.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n**2 - 6*n**2 - 755*n + 2252*n - 756*n - 750*n.\nAnswer: -3*n**2 - 9*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69*h + 47 + 91 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37816*o - 1355634 = 37767*o. Calculate the highest common factor of o and 348.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 204 + -203. What are the prime factors of (-1418 - (-6)\/g)*(-2)\/8?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-12)\/(-9) + 2\/(-6). Let s be 0\/(2 - 1)*o. Suppose -2*a + 20 = -4*a + 5*c, -2*a - 4*c = -16. Is s less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2507, -1\/9, -2\/3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**2 + 6*j - 6. Suppose -5*c + h = -3*h - 7, 5*c - 5*h = 5. Let s be -7 - 4\/(-6)*c. Let q(d) = -d**2 - 7*d + 7. Calculate s*q(f) - 6*i(f).\nAnswer: -f**2 - f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(2) + (sqrt(10)\/sqrt(5)*-3 + sqrt(2))**2 + (1 + sqrt(50))**2.\nAnswer: 11*sqrt(2) + 59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.4, -3\/5, 0, -26\/3?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28.61 - -55.94. Round i to the nearest integer.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 939 a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= 79\/93?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.844 + 2.156. Let m = 1 + -1.2. Which is the nearest to m? (a) s (b) 0.3 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*k = 14*k. Suppose 2*d + 4 = 2*j, -5*d + 10*d + 5 = k. Solve 3*z + j = 2*g, 5*z = 2*g - 3*g - 6 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 68*h**3 - h**2 - h + 1. Calculate the remainder when l(1) is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -10*j + 7*j + 14*j - 6*j. Let a(f) = -11*f**2. What is y(a(i))?\nAnswer: -55*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 216161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000016927039 to 7 decimal places.\nAnswer: -0.0000169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12*d - 16 + 16)*(-2*d**2 + d**2 + 2*d**2)*(1 - 1 - d + 48 + 6*d - 48 + 4*d - 2*d - 4*d + 0*d + d + d + (2*d - 5*d + 2*d)*(-4 + 4 - 1)).\nAnswer: -72*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + r - 2*r)*(-3 + 4 + 1).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -6*b**2 + 2*b. Let z(o) = 159*o. What is z(l(i))?\nAnswer: -954*i**2 + 318*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 p when four letters picked without replacement from bbbpppbbbbbbppbbbb?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 - 169.8. Let i = -1 + 22. Let q = x + i. What is q rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q**2 + 89*q - 277. Calculate l(0).\nAnswer: -277","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8968045 and 3335?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 916 and 45840?\nAnswer: 10497360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 695 - 698. Which is the second smallest value? (a) -0.4 (b) n (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*i**2 - 924*i + 924*i + i**3 + 7*i**4 as c*i**4 + h*i**2 + m*i + u + b*i**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 310*23\nAnswer: 7130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -149.3 and 0.5.\nAnswer: -148.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -158 (base 10) in base 9?\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 - 2 - 6 + (-1 + 1 - 2)*(0 - 3 + 5) - 6 + 2 + 1)*(w - w**3 - w - w**4).\nAnswer: 8*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*n + 7 = 56*n - 5*c, -4*n + c + 9 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 2*l - 8 = 0, -f = 2*f - 2*l - 9. Solve -f = 3*q - 4*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -7, -1\/7, 1, 3\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 5. Let n be 0\/a*2\/(-4). Suppose -3*b = b. Solve -3*q + b*q + 12 = n for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -864952 + 714450263\/826. Find the common denominator of 117\/1180 and p.\nAnswer: 8260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10 - -6)*1*-3. Let d(f) = 18 + 3 - 5 - f. Let r be d(l). Sort r, -3, -1 in decreasing order.\nAnswer: r, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 23*b - 28*b + z, -3*z = -2*b - 0*z - 8 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(33\/6)*(-15)\/135?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1476, -5, 5?\nAnswer: 1476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 5, -3, -33, -97, -207, -375?\n\"Answer: -2*k**3 + k**2 + 3*k + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12308 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -1, 0, 256 in decreasing order.\nAnswer: 256, 5, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = 55*s - 162. Calculate k(7).\nAnswer: 223","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 1588465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 4 from -2.12.\nAnswer: -6.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 11*l**3 - 16*l**2 + l + 21. Let f be r(5). What is the greatest common divisor of 3773 and f?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y - 4. Let u(z) = -z - 3. Let k(o) = -4*u(o) + 3*v(o). Let b(j) = -38*j**2. Determine k(b(t)).\nAnswer: -38*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-5 - 228\/(-60))*(-40)\/3. Suppose -428 = -3*w + 5*g, -4*w + 9*g + 560 = 5*g. What is the highest common factor of k and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 4:29 PM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 60*((-1)\/2)\/(-1). Let q = -27 + x. Suppose -q*d = -4*d - 4. Which is the smallest value? (a) -1 (b) d (c) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 - -2. Let u(y) = y**2 - 3*y - 6. Let q be u(5). Let g = f + q. Is g even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -146 + 154. Let y(u) = -1 - 22*u**3 + 23*u**3 + m*u - 1 - 8*u**2. Calculate y(7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.3*2.2\nAnswer: 2.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-29)*15\/(-30)*-4. Which is the second smallest value? (a) d (b) 5 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75.502 + 76. Let f = -0.098 + p. What is the closest to 1\/2 in 3, f, -1\/5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-20)\/8)\/((-15)\/36). Suppose 0 = 2*n + 4*s - 10, -n + s + 14 = b*s. Let y be (-3750)\/(n - (-7449)\/7440). Round y to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -63\/172 and 73\/1302.\nAnswer: 111972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 6*r + 2. Let p(d) = 24*d + 8. Let c(h) = -4*p(h) + 15*u(h). Determine c(4).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 3. Suppose 2*s + 3*s = 0. Let q be r(s). Suppose -q*f = -3*j + 120, 0 = 5*j + 3*f + 5 - 197. Does 14 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*j + 742 - 22. Let n be (-3 + (j\/(-3))\/(-5))*-6. Let c = 64\/105 - -2\/35. Is n > c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -40*w - 639. Calculate f(-29).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-17 + 470\/30)*-2)\/(8\/9)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1808*n**4*v**3 + 2263*v**3 wrt n.\nAnswer: 7232*n**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -0.07 (b) -0.5 (c) -0.0265\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 1)*-3*-1. Suppose 3*o - 2*u - 4 = 2*o, x = u. Suppose 8*b = 4*b + 4*k - 12, -2*b - 2*k = -o. Solve s + 1 = -b for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8483\/6 + -1402. Let b(u) = u**2 + 4*u - 5. Let r be b(-4). What is the common denominator of (-1)\/35 - 2\/r and f?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - n = -27, 0 = -0*m + m + 2*n - 12. Suppose -2*h - 3*x = -208, -9 - 183 = -2*h + x. Calculate the highest common factor of h and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -17*l + 497. Calculate the lowest common multiple of 19\/2 - 1\/(-2) and q(29).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -168 - 19*i - 289 + 900 + 555 + 18*i.\nAnswer: -i + 998","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(750) - sqrt(30))*-4)\/(sqrt(10)*-1*6).\nAnswer: 8*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-54)\/10 - (-6)\/15. Let i = -651.9 + 688. Let z = 36 - i. Which is the biggest value? (a) z (b) -0.8 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 31 = -11. Suppose p*f + 2 = 18. Find the second derivative of 6*s + f*s + 5*s**3 - 5*s wrt s.\nAnswer: 30*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3211.5 - 3216.5. Let d = 87 - 172. Sort v, d, 0.4 in decreasing order.\nAnswer: 0.4, v, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 253314 is divided by 218.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 600\/(-150)*1\/4. Do -3\/1631 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 67\/242 and (-1)\/(-2) - (-11)\/(440\/24)?\nAnswer: 1210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6205*k - 1234820. Give r(-199).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 5. Suppose 0 = -3*p - f*s + 257009 + 61887, -s = 2. Let q = p + -187302. Round q to the nearest 10000.\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaazaazz. Give prob of sequence zaza.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t = -21 + 140. Let g(z) = -t*z**2 + 38*z**2 + 15*z**2. Let r(f) = 2*f. What is r(g(k))?\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1 + (-37)\/3)*(7 - 4). Let p = c + 133. Does 31 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 19*f - 6. Let y = 22 + -2. Let r be n(y). Solve 3*c + 2 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 164049948?\nAnswer: 2, 3, 506327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l - 1. Let t be c(3). Suppose -3*g = 4*b + 4 - 1, 0 = -2*g - 4*b - 6. Suppose 3*f - 2*y = -8, -g*y + 12 = -3*f - f. Solve j = -f*j - t for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand a**3 - a**3 + 3*a**3 + (-a + 5*a - a)*(-3*a**2 + a**2 + 4*a**2) + 2*a**3 - a + a.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 6*s**2 - 10*s - 24. Let k(x) = x**3 - 2*x**2 + x - 39. Let y be k(4). Calculate the remainder when 116 is divided by v(y).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**4 - y**3 + 2*y**2 - 9*y - 1. Let l(k) = 2*k**4 + 18*k**3 - 74*k**2 + 86*k - 64. Let p(u) = l(u) - 4*t(u). Suppose p(f) = 0. Calculate f.\nAnswer: 1, 2, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/(-8)*-46 - 1. Let h = 81 - g. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + b**2 - 5*b - 4. Suppose 2*i = -3*i. Suppose 0 = r - i - 3. Suppose -r*w - 17 = v + v, -w + 4*v = -13. Determine a(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 28 + -25.8. Let y = 0.1 + 1.9. Let a = v - y. Sort a, -5, -3\/2 in ascending order.\nAnswer: -5, -3\/2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 2*p. Let j(l) be the first derivative of l**4\/6 + 9*l - 8. Let s(v) be the first derivative of j(v). Determine h(s(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 times 0.06?\nAnswer: 0.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 PM and 5:20 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-5))**(-1\/13) assuming b is positive.\nAnswer: b**(5\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -16.7 (b) -2\/5 (c) 3 (d) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 35\/14 + 303\/(-6). Let p = -34 - q. What is the remainder when 153 is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 12*u**2 - 14*u - 35. Let l be r(-6). Let c = l - 478. Solve -8*x + c*x = 10 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 3, l: 3, k: 1, j: 2, p: 1}. What is prob of picking 1 u and 1 l?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 - 6*s + 4. What is j(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -3043*z**2 + 1563*z**2 + 1546*z**2. Let x(n) = -11*n. What is x(f(v))?\nAnswer: -726*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -6, -59, -156, -303, -506, -771, -1104, -1511?\n\"Answer: -s**3 - 16*s**2 + 2*s + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -653 - -653. Which is the closest to h? (a) -4\/5 (b) -1\/2 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - 13 - (-1 - 1)) + -19 + 17?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 61, 93, 141, 211, 309?\nAnswer: 441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -9*v**2 + 22*v + 20. What is n(-1)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a - 26*a - 5*a**2 - 7*a)*(9 - 20 - 46).\nAnswer: 285*a**2 + 1938*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 170 divide 484956990?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (36\/88)\/((-72)\/(-672)). Determine k, given that f*k**4 + 0 + 30\/11*k**2 + 4\/11*k + 68\/11*k**3 = 0.\nAnswer: -1, -1\/3, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 43*h**2*t**5 - 294*h**2*t**2 - 2*h**2 + 2*h*t**4 - 10*h*t**3 wrt t.\nAnswer: 2580*h**2*t**2 + 48*h*t - 60*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/4)\/(4\/(-16)). Let g = 2 - -1. Put -0.4, g, r in decreasing order.\nAnswer: g, -0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 183435?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4592 + -2?\nAnswer: 4590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 times -0.5?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*y**2 + 5*y**2 + 21*y**4 + (-9*y**3 + 17*y - 17*y)*(-y - 3*y + y) - 2 - y**4 + 2.\nAnswer: 47*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-3)\/8 - (-1890)\/560.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**3 + z**2 - z + 1. Let a(v) = -5*v**3 + v**2 + 2*v - 13. Let q be 2\/1*(-12 - -10). Let r(l) = q*h(l) - a(l). Does 19 divide r(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1393 is divided by 1393.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 20*y + 20.\nAnswer: 5*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 23789160 and 36.\nAnswer: 23789160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 u, and 1 g when three letters picked without replacement from bggguuguubggg?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 13*s = -6, 6734*t + 2*s = 6736*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -6*d + 0*d - 92 - 55*d**2 + 23*d**2 - 230*d**3 + 228*d**3. Give p(-16).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50216.\nAnswer: 2, 6277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*n - 9 = 3*j + 4*n, -248 + 245 = -n for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 7, v: 1, n: 1}. Give prob of sequence een.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*h**4 - 22*h**3 - h**2 - 361 wrt h?\nAnswer: 96*h - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*y**3 - 2*y**3 - 69*y**2 + 69*y**2.\nAnswer: -12*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -2*p + 5*y, -3*y = 5*p - 0*p - 165. Suppose 0*a + p = -6*a. Let i be (-2 - 10\/(-8))\/(a - -7). Are i and -12 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i - 2 + 7*i - i)*(-2*i**2 + 3*i**2 + i**2).\nAnswer: 10*i**3 - 4*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41024*u**2 - 82335*u**2 + 41086*u**2.\nAnswer: -225*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 87 - -5?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9\/196 or 0?\nAnswer: 9\/196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/5*(-75)\/(-45))\/((-28)\/(-21)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21190 and 650?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4349\/9 + -483. Which is the closest to 19? (a) l (b) 2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(1 - 15\/20). What is the second derivative of -g**4 - 5*g**4 + 6*g**4 + 23*g + 12*g**k wrt g?\nAnswer: 144*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3 - 452*t**2 - 9818*t + 46632.\nAnswer: -2*(t - 4)*(t + 29)*(t + 201)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.1 - 0.3. Let w = -83 + 88.12. Let i = 0.12 - w. Which is the closest to 0? (a) i (b) -1\/4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 + 46*s**2 - 45*s + 1. Let o be r(45). Let w be -13 - -3 - -10 - (o - 4). Solve -w*v - 3*g - 3 = 0, 4 - 6 = g for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 30 = -5*u, -c - 4*u = c - 22. Let s be -11*c*(-5)\/5. Solve -25 = -n - 5*f, -n - 3*f = -s - 4 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1979, -7756, -17379, -30842, -48139, -69264, -94211?\nAnswer: -122974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s + 3*s + 2*s**2)*(2 + 1 + 1)*(0*s - s + 2*s) + (3*s**2 + 2*s**2 - 4*s**2)*(-2*s + s - s).\nAnswer: 6*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**2 + 18*r - 37. Let w = -63 + 79. Let k be o(w). Let n(d) = -7*d + 17. Let l be n(k). What is the greatest common factor of l and 312?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + -3. Suppose -3*q + 9 = 0, b = 4*w - 5*q + 11 - 0. Suppose -2*h + 13 - w = 0. Is h bigger than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 74*r**5 + 5*r**3 - 18*r**2 + 2*r. Let x(w) = w**5 - w**3 + w**2. Let q(j) = -b(j) - 5*x(j). What is the third derivative of q(f) wrt f?\nAnswer: -4740*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-45))\/((-14718)\/(-55)))\/(2\/(-207)*-23)?\nAnswer: -2\/223","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 3 + (1 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*o + r - 9, 3*r + 8 = -5*o. Which is the third smallest value? (a) 2\/7 (b) o (c) -0.7 (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-4 + ((-4 + sqrt(2736) + sqrt(2736))**2 - sqrt(19))).\nAnswer: -386*sqrt(19) + 21912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/9)\/(43566\/(-1233)).\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44210*n**3*q**2 - 2*n**3*q + 14906*n*q wrt q.\nAnswer: 88420*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -3*r + o, -7*r + 4*r = 4*o - 75. Let z(h) = h**2 - 21*h + 3. Let b be z(r). Is 4 not equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 285*d**4*k + 14*d**3*k + 7*d**2*k - 48*d**2 - 3*d*k + 1 wrt d?\nAnswer: 6840*d*k + 84*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 16*j**3 + 6*j**2 - 16*j + 10. Let x(q) be the first derivative of -5\/4*q**4 - 3*q - 2\/3*q**3 - 15 + 5\/2*q**2. Calculate 3*p(n) + 10*x(n).\nAnswer: -2*n**3 - 2*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 3*d + 207 - 236 = 0, -11 = -10*n + 6*d - 7*d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 + l + 1. Let r(q) = -2*q**3 + 4*q**2 - 14*q + 2. What is -4*b(m) + 2*r(m)?\nAnswer: -4*m**3 - 32*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 - 24*f + 13. Let s be c(10). Let y be (225\/18)\/(7\/(-70)). Which is smaller: s or y?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - -1020020121120?\nAnswer: 1020020121202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 - 6*l - 1. Let f be s(7). Suppose f*j + 3840 = -0*j. Let b = 67 - j. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(33) + (sqrt(264)*1)\/sqrt(8) - sqrt(2112)*2)\/(-1*sqrt(192)*-2).\nAnswer: -7*sqrt(11)\/8 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7568299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1815157)\/19085 + (-120)\/(-1100)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35155707317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 210*v**3 - 429*v**3 + 187*v**3 + 1905.\nAnswer: -32*v**3 + 1905","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -2*16\/240 + ((-11536)\/210)\/8\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2474821l in millilitres?\nAnswer: 247.4821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7920 = -404*a - 2868*a - 41160 for a.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) be the second derivative of -l**3\/2 - 15*l. Let p(q) = -4*q. What is p(i(b))?\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 3*j + 4*j + 18 = 0, 3*w + 3*j = 0. Let c = 8 - 5. Suppose 0*d - 52 = -3*n + d, 3*d + c = 0. Solve n = -4*k - w for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -383 by -244.\nAnswer: 383\/244","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48 and 16464?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -2*l - 9, -2*d - 4 = 2*l - 10. Let v = l + 2. Sort v, -2, 4.\nAnswer: -2, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 147 (b) 0.33 (c) -25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 183.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 108126.\nAnswer: 2, 3, 6007","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*m - 108 + 115 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1376542?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 5*a**3 + 25*a**2 + 7*a + 7. Let m be s(-5). Find the common denominator of (7\/m)\/((-15)\/(-732)) and -111\/44.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (4\/45)\/(-5*12\/150). Which is the closest to 0.09? (a) 0 (b) k (c) 7 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17715 to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y**3 + 2 - 2 - 11*y - 4*y - 20*y.\nAnswer: -y**3 - 35*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -9\/7285921 greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 371*m**2 + 14*m + 18. Is r(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, -2, 1\/2, 3955 in ascending order.\nAnswer: -2, 2\/9, 1\/2, 3955","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (458 - 467 - 442*w + 70*w)*(3*w - 3*w + 14*w) to p*w + x + j*w**2 and give p.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1425) - -2*sqrt(1425))\/sqrt(3))**2.\nAnswer: 4275","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = 4*f - c, -12 = 7*f - 6*f + 3*c. Suppose f*n - n + 30400 = 0. Round n to the nearest one thousand.\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y = 4*y + 5*u - 20, -3*u = -3*y + 9 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 26678351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 45145.\nAnswer: 5, 9029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2*((-3)\/(-2))\/(-1). Let j(l) = -13*l**2 - 11*l - 3. Let b(f) = 4*f**2. Let n(i) = 3*b(i) + j(i). Calculate the remainder when 39 is divided by n(w).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + v + 1062. Let d be (-1)\/5 - v\/(-5). Let o = d - 73. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 5:23 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2 + (2 + -4 - 2). Let s be -3 - (4\/r)\/(-2). Sort s, 0.2, -0.4.\nAnswer: s, -0.4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-8618812.\nAnswer: -861881.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -15*h*r + 604523*h - 2463*r**2 + 129*r - 28 wrt r?\nAnswer: -15*h - 4926*r + 129","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g = -9*m - 3*g - 1272 + 1212, -3*m = 2*g + 90 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 6\/13, 8, -0.3, 1, 5, -0.082, 0?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*d - 692*d**2 + 687*d**2 + 24*d.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 105095018 a multiple of 593?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + y + 3*y)*((-3*y + 2*y - y)*(y + 2 - 2) + 8*y - 8*y + 7*y**2) + 2*y**3 - 3*y**3 + 0*y**3.\nAnswer: 24*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-6))\/((-58)\/232).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 86674 is divided by 777?\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 + 53 = 14*s. Solve 0 = s*t + 1 + 7 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6580 and 235?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9827441 rounded to the nearest one million?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -231*n**3 + 48*n**2 + 6*n + 105. Let q(i) = 231*i**3 - 58*i**2 - 7*i - 106. Let z(r) = 5*q(r) + 6*v(r). Find the second derivative of z(w) wrt w.\nAnswer: -1386*w - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2360 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-1)\/(-3))\/((-1)\/3). Which is smaller: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 296 + 34. Let w be 2\/(-6) + (-704)\/(-6). Let v = w - u. What is the highest common factor of v and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 59*a - 1 = 108*a - 54*a, 6*z + a - 41 = 0 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -46\/11 - -4. What is the second smallest value in v, -1, 2, 3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1202 - -201001222?\nAnswer: 201000020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 5*a = 50816185. Let g = 18363237 + a. What is g rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**3 + 9*f**2 + 9*f + 9. Let k be o(-8). Let p(t) = 7*t + 7. Let i(z) = z + 1. Determine k*p(s) - 5*i(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - -44)\/((-247)\/39 + 7) + -11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -22 - (280 - 271)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -138 + 24*s + 138 + 297*s.\nAnswer: 321*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.8 plus 3679267257?\nAnswer: 3679267255.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 40 - 36. Let p = 0.34 - 0.4. Let l = 2.06 + p. Which is the smallest value? (a) f (b) -4 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*g**3\/15 + 18*g**2\/5 - 26*g\/15.\nAnswer: -2*g*(g - 13)*(2*g - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(99) - (-1 + (0 + sqrt(11) - sqrt(11))).\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 5)*(0*y + y - 2*y) + (16*y - 23*y + 10*y)*(0 + 5 - 3).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tt when two letters picked without replacement from tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 53807014*h - 188240413 wrt h.\nAnswer: 53807014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2136.0636 nanoseconds to minutes.\nAnswer: 0.00000003560106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3754 by 2.\nAnswer: 1877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + n + 180 = 0, 4*y = n - 32 + 274. Solve -y*f = -71*f + 18 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30030 = -33110*a + 32780*a for a.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7341507 and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1752725548 - 53*y - 1752725548.\nAnswer: -53*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 + 1 + 5 + 4*m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 22*d**2 - 41*d - 657. Is 116 a factor of a(-14)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705969023 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: Factor y**2 + 250422*y + 15677794521.\nAnswer: (y + 125211)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 0.5371624 micrograms?\nAnswer: 0.0000000005371624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2745472, -5490873, -8236274, -10981675, -13727076?\n\"Answer: -2745401*t - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 + 2?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -9 - (-3 + (-13 - -9))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -60213, -60211, -60209?\n\"Answer: 2*f - 60215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2923, -5658, -8387, -11116, -13851, -16598?\nAnswer: -19363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360081 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m + 64. Let q(g) = 2*g + 67. Let j(d) = -3*q(d) + 2*t(d). Let r be j(15). Is -133 != r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000001001001 (base 2) in base 15?\nAnswer: 137e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/(-63) - 3430\/45. Let i = -76 - l. Which is the nearest to -2? (a) -2\/11 (b) 1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -703*k - 491 + 975 - 482.\nAnswer: -703*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -17 + 24. What is the third derivative of 2*l**4 - p*l**2 + 2*l**2 + 4*l**2 wrt l?\nAnswer: 48*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1299.1 + 1299. Let h = 5.4 + -5. Which is the nearest to j? (a) h (b) -3 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6223 and 98.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y = z + z, -2*y = -2*z + 2. What is the closest to y in -1, 7, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*q**6 - 2*q**4 + 3419*q**3 + 3735*q**2 - 5 wrt q.\nAnswer: 360*q**3 - 48*q + 20514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -9*l**2 + 22*l. Let t be n(1). Let o(r) = 19*r**3 - 4*r**2 - 8*r + 13. Let s(y) = -9*y**3 + 2*y**2 + 4*y - 6. Give t*s(g) + 6*o(g).\nAnswer: -3*g**3 + 2*g**2 + 4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.12 minus 343?\nAnswer: -351.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -6*d + 3. Let f be h(-6). Suppose -243 = -5*m + 3*o, -2*m + m = -3*o - f. Is m a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 4*n - 28 = 0, 2*v - 5*n = 4*v - 17. Suppose 4*j + v = 74. Solve 0 = 4*a + j + 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.562134 rounded to 1 decimal place?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does -1 = -320\/377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/5)\/((8\/20)\/(-1)). Suppose 3*n - 568 = -t, -z = -3*t + 1. Suppose 396 = 3*p - 3*y, 5*p = -5*y + 481 + n. Is p a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/22 - (-24)\/132. Let y = -2\/275 - -281\/825. Which is the smallest value? (a) n (b) -2\/7 (c) 3\/8 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 190*j - 248*j + 196*j.\nAnswer: 138*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.62191 hours in nanoseconds?\nAnswer: 5838876000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 45203828 to the power of 1\/2, to the nearest integer?\nAnswer: 6723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 3*m - 2. Sort -5, m, -3 in descending order.\nAnswer: m, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, f: 1, t: 3}. What is prob of sequence ft?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -118 + 118 + 93*b**3.\nAnswer: 93*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6129, 6259, 6615, 7311, 8461, 10179, 12579, 15775?\nAnswer: 19881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = 5*s. Let o(f) = f**2 + f + 22. Determine o(s).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, w: 2}. Give prob of sequence ll.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(147)*-3 - sqrt(147) - sqrt(147))**2 - -6*(sqrt(147) + sqrt(147)*-3 - sqrt(147))**2 - (sqrt(147)*1 + 5 + sqrt(147) + -1 + 1)**2.\nAnswer: -140*sqrt(3) + 36137","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (133\/(-28) - 9 - 2\/8)\/(-2)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.052 (b) -9\/347218 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = n - v, 3*v + 48 = -5*n + 5*v. Let q be ((-32)\/(-20))\/((-4)\/n). Suppose 5*a - 4*l = 9711, -5*l - 10851 = -q*a - 3075. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 9.447728 micrometers?\nAnswer: 0.000000009447728","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 18 = 4*p, -p - 45 = -5*b - 2*p. Let h be (-6)\/b*(-634)\/(-4). Let i = -937\/6 - h. Calculate the common denominator of i and 95\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 213.752 times 5896?\nAnswer: 1260281.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4815713 rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 164364797?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the third derivative of -17*i**7\/5040 - i**6\/144 - 7*i**5\/60 - 5*i**2. Let r(z) be the third derivative of k(z). Is r(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1481 + -1455.48. Round u to zero decimal places.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 609 + 33 = 0. Calculate the greatest common factor of 512 and z.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31017916?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - -2. Let l be (-3 - -4) + (-36)\/d. Suppose -5*m = 4 - l. What are the prime factors of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, -2\/3, -0.1, -12, 15\/38 in descending order.\nAnswer: 15\/38, -0.1, -1\/3, -2\/3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -73*d + 368. What is the remainder when 329 is divided by i(3)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*z**3 + 50*z - 50*z)*(-1 + 3*z + 1) - 10*z**4 - 32*z**4 - 31*z**4 as p*z**3 + o*z + u*z**2 + j + v*z**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/(-28) + (-10)\/35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from trytrrtryyyy.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1b4 - 3?\nAnswer: -1b7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + 10?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 15 = -9*y. Find the first derivative of 4*c**3 + 2 - 10 + 2*c**y + 0 wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18223 + -845835432?\nAnswer: -845835431.81777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 34, -3, -120, -1 in increasing order.\nAnswer: -120, -3, -1, 4, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 123349?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17 - 53*w**2 + 34 - 17.\nAnswer: -53*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.01 and -8.424.\nAnswer: -0.08424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/6 and 5\/366*165\/143?\nAnswer: 4758","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 30 in -4, 0, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 17949, 35899, 53849, 71799, 89749?\n\"Answer: 17950*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*j + 1 - 70*j + 149*j)*(-3 - 9 + 0) to the form f + l*j and give f.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -16936208 divided by 653\nAnswer: -25936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as -466004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**2. Let q(u) = 16*u + 11. Let l(y) be the third derivative of y**4\/8 + y**3\/3 - y**2. Let o(r) = -33*l(r) + 6*q(r). What is t(o(b))?\nAnswer: -18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10 or 8.8073?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0 + 8 = 0. Suppose 0 = 3*v + 9*k - 8*k - 58, 0 = -4*v - 2*k + 76. What is the highest common divisor of v and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 45\/2 and -3\/157.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 0.1, -1.6, -4, -1.1, 0.4.\nAnswer: -28, -4, -1.6, -1.1, 0.1, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-15)\/18*4\/15. Let c be (-118)\/4 + (-3)\/(-6)*-2. Let h = c - -30. What is the closest to h in 1\/4, b, 3\/4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1040\/60 + (-2)\/6. Let c = x - 3. Calculate the least common multiple of 28 and c.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -435, 0, 2, -133, 10 in decreasing order.\nAnswer: 10, 5, 2, 0, -133, -435","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + 2.2. Let f = -0.5 + 0.4. Let r = n + f. Which is bigger: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 2, u: 2, g: 2}. Give prob of sequence gtu.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -336 + 327. Is i equal to -3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -741*h - 783*h + 1477*h - 24 to x*h + j and give x.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 3, s: 3, f: 2, y: 7}. Give prob of sequence af.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-16)\/(-6))\/(16\/((-40)\/5))*(-88)\/(-16).\nAnswer: -22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d**2 + 5*d + 11. Let f be h(8). What is the highest common factor of f and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xbp when three letters picked without replacement from {g: 1, a: 1, b: 1, p: 1, x: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-10)*5)\/(5\/30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2279 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -195707657 - -9\nAnswer: -195707648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (0*(35\/(-10) - -4))\/(-2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -82850, -82862, -82874, -82886, -82898, -82910?\nAnswer: -82922","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 + -3281a43?\nAnswer: -3281a41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 958\/18 - 2\/9 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -8*y**3 - 2*y**2 + 1. Let u be j(1). Put -2, u, -4 in descending order.\nAnswer: -2, -4, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 488861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -3771.31.\nAnswer: -3776.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b**2\/6 + 95*b\/3 - 175\/2 = 0.\nAnswer: 3, 35","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o - 8. Let m be r(-8). Let h(y) = m*y**2 + 2*y**2 + 0*y**2. Let j(k) be the first derivative of -5*k**3\/3 - 8. Calculate j(h(u)).\nAnswer: -20*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.4 - 0.2. Let i = 1.569 + -0.239. Let k = -4.13 + i. Which is the third smallest value? (a) -3\/7 (b) d (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + w + 5 = 0, 2*c + 0*w + 20 = -4*w. Suppose 5*n + c*n = 0. Suppose -4*z + 4 = -2*d, -z - 5*d = -2654 + 2631. Solve n + z = l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-8)\/((-71487)\/(-250425) - 2\/7). What is r rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.05085777 to five decimal places.\nAnswer: 1.05086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2394 and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 16 - 170 = 0. Let s = -16 + l. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1 - (-17)\/(-19)) + 15744736\/(-7403445). Let r = s + -1\/1237. Calculate the common denominator of r and -113\/30.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 - 2*((-1)\/2 - -1). Let c(g) be the third derivative of 0*g + g**2 + 0 - 1\/9*g**s + 4\/9*g**3 + 1\/90*g**5. Factor c(y).\nAnswer: 2*(y - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2794025?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3280921 or 0.6?\nAnswer: -3280921","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -103310241 (base 5) to base 2.\nAnswer: -1101101010001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -42231325 + 103?\nAnswer: -42231222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 61*w**2 - 32*w + 103. Is u(8) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 59*z + 60*z - 5 + 7.\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z**2 + z**2 + 0*z**2.\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*u + 324 = 69*u. Let t = 645 - u. Suppose f = -4*p + 157, 4*p = 3*f + 109 - t. List the prime factors of f.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**3 - 28*c**2 - 21*c + 177. Let w be i(-27). Let p(u) = -u**3 + 16*u**2 - 15*u + 8. Determine p(w).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 5*y. Let t(n) = 14*n. Suppose 62 = 2*b + 2*g, 0 = b - 5*b + g + 104. Suppose 13 = -2*x + v, -x - b = 2*x - 3*v. Determine x*t(a) + 11*l(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 3, n: 6, y: 1, a: 7}. Give prob of picking 1 y and 1 a.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6156*y**3 - 233*y + 35 wrt y?\nAnswer: 36936*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11\/10924 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3443532180.\nAnswer: 2, 3, 5, 11, 1949, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7745841*h**3 - 38261469*h**2 wrt h?\nAnswer: 46475046","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.00821 and -0.01153.\nAnswer: -0.00332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 15*d**2. Let i(o) = 2*o - 6715132. Give i(v(n)).\nAnswer: 30*n**2 - 6715132","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 0 + 235*n**3 + 2 - 205*n**3.\nAnswer: 30*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-35)\/18 - (-708070)\/(-28260).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -10*v**2 + 12*v. Let n(t) = 21*t**2 - 21*t. Let p(l) = 4*n(l) + 7*w(l). Let u(x) = x. Let h(j) = 4*j. Let r(q) = h(q) - 5*u(q). Determine r(p(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = -h - 21, -18*h + 13*h = -4*h + w + 16 for h.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 282401369 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*r**2 - 53132*r**3 - 8*r**2 + 0*r**2 + 0*r**2.\nAnswer: -53132*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.1, 0.7, -0.5, 3\/5, 0.1131, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -5 or 10\/3?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = u - 3, 0 = -5*y + 30 - 5. Let b be (u\/(-6))\/1 - 28\/(-6). Suppose 112 = 2*d + b*d. What is the least common multiple of d and 4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c(u) be the third derivative of 1\/8*u**4 + 0*u + 0 + 1\/3*u**3 + 25*u**2. Calculate c(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -2 (c) 2.98 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-6) - (-29)\/3. Suppose -3*s + 253 = 175. Calculate the remainder when ((-154)\/4)\/((-5)\/x) is divided by s.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -776 - -827. Calculate the highest common divisor of o and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6, -4, 40, -3 in ascending order.\nAnswer: -4, -3, 2, 6, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2015 and 22165?\nAnswer: 22165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50*u**2 + 14*u**2 + 18*u**2 - 48*u**2.\nAnswer: -66*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8\/(-32) + (-569)\/(-8)*2. Let b = 145 - q. Solve -b*z = -0*z + 12 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -1047056 in ascending order.\nAnswer: -1047056, -4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -8. Let r be k\/7 + (-51)\/63. Which is the closest to r? (a) 0 (b) 0.3 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 0 - 1 + 3*g**2 in the form u*g**2 + b + q*g and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 86 - 52. Suppose -5*c + l = -3*c. What is the remainder when c is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3818 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 13, p: 5}. What is prob of picking 3 p and 1 q?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.12? (a) 2 (b) 1 (c) -0.2766\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -13*i**3*q**3 + 13093*i**3*q**2 - 4*i**2*q**3 + 349120*q**3 wrt i?\nAnswer: -78*q**3 + 78558*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/18)\/(4\/3)*3?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*l**5 + 2125*l**4 + 1395*l**3 - 2125*l**2 - 1410*l = 0. What is l?\nAnswer: -141, -1, -2\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {e: 2, f: 1, u: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2022813874 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -275 and 0.3?\nAnswer: -82.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - -44?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 82814 by -1023.\nAnswer: -82814\/1023","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 61919 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 2. Let a(y) = y**3 - 10*y**2 - 9*y - 10. Calculate the least common multiple of a(11) and s.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, d: 3}. Give prob of sequence dd.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -3*h**2 - 12*h. Let y(p) = p**2 + 5*p. Let f(r) = -5*q(r) - 12*y(r). Let u(g) be the first derivative of g**2 + 8. Give f(u(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 17052961727 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 30 = 2*t, 1 = -3*t - 8. What is the highest common divisor of n and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 643489.1 centimeters?\nAnswer: 6434891000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1237 + 15?\nAnswer: -1222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.06596 * 0.1.\nAnswer: -0.006596","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 42 - 97 - 736*o + 53.\nAnswer: -736*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.063298811 - 55.6967?\nAnswer: -55.633401189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -4 (b) -777 (c) 2\/7 (d) -2\/9 (e) 0.3 (f) -455 (g) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 172539, 690232, 1553059, 2761026, 4314139, 6212404?\n\"Answer: z**3 + 172561*z**2 + 3*z - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in years?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g**(2\/3))*g)\/g)\/g**(2\/7) assuming g is positive.\nAnswer: g**(-20\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -1.92212.\nAnswer: -3.92212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 502365 (base 10) to base 13\nAnswer: 147876","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 17593*a*s + 29*a*y**3 - 28*a*y**2 - 170*a*y - 6*a + 15*s*y**3 + 5*s*y**2 + 2*y**3 + 1 wrt s.\nAnswer: 17593*a + 15*y**3 + 5*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 + -88. Let d = q - -46. Let x(v) be the third derivative of -v**4\/12 - v**3\/3 + v**2. Determine x(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79005.89599 rounded to the nearest one thousand?\nAnswer: -79000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + k - 4*k = 0, 2*s = k. Suppose -3*f - f = s. Suppose f = -4*r - 34 + 106. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/16 - 243\/(-12). Let g = k + -19. Calculate the smallest common multiple of g and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6382a (base 11) to base 2\nAnswer: -10110101010100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*s - s. Suppose -s*l + 20 = -l. Calculate the lowest common multiple of 3 and l.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the third derivative of o**5\/75 - 3*o**4\/5 - 88*o**2. Let u(s) = 0. Calculate s.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -34*h - 2. Let o(q) = q**3 - 4*q**2 + 4*q + 1. Let t be o(3). Suppose 0*f + 15 = -f - t*w, -w = -f. Does 17 divide d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (197 + -202)\/(1 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*n + 2)*(n + 2*n - 2*n) + 3*n**2 - 3*n**2 + n**2)*(-5*n - 8 + 8).\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**2 + 0 - 1 + 3)*(-3 + 1 + 0)*(1 - s - 1).\nAnswer: -8*s**3 + 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes after 12:33 AM?\nAnswer: 8:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (450\/(-35))\/(-9)*76\/370. Let k = h - 2\/259. Factor 0*v - k*v**3 + 6\/7*v**2 + 0.\nAnswer: -2*v**2*(v - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3))**(2\/3)*(r*r*r**(4\/7)*r)\/(r\/((r*r*((r\/(r\/(r\/r**3))*r)\/r*r)\/r)\/r)) assuming r is positive.\nAnswer: r**(-3\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 121232671*k**2*y + 2*k*y - 4*k + 110876*y - 4 wrt k.\nAnswer: 242465342*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 12 + 7)*(-4*p**2 - 14*p**2 + 7*p**2) - 2*p**2 - p**2 + 2*p**2.\nAnswer: -45*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15 and 2104.67?\nAnswer: 2119.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*t + 1391 = -2659. Calculate the least common multiple of 15 and t.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*(f\/(f*f\/f**0))\/f)\/f))**27\/(f**(-5)\/f**8))\/((f**(-1\/4)*f*f\/f**(-2\/15))\/((f*f**(-2\/15))\/(f\/(f*f**(-4\/5))))) assuming f is positive.\nAnswer: f**(5531\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.63875 centuries in months?\nAnswer: 41566.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*a**2 + 7*a**2 + 0*a**2 - 2*a**2 + a**3 to the form f*a + r*a**3 + k + q*a**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/(90\/(-14)) - 4\/18.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77052094?\nAnswer: 2, 7, 5503721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.350125 rounded to three dps?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-28)\/112*9*-2)\/((-12)\/(-88)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 66 + (-10 - 9) + (-3 - (-2 - -3 - 9))?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 7*p**2 - 11*p - 2. Let v(b) = 11*b**2 - 17*b - 3. Calculate -8*h(w) + 5*v(w).\nAnswer: -w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(52) - sqrt(4212)*-2 - sqrt(52)) + -2*sqrt(3328))\/((6*-1*sqrt(36))\/(sqrt(9) - (sqrt(9)*2 - sqrt(9))*2)).\nAnswer: sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - g = 4*r - 331, 5*r - g - 557 = 0. Suppose -r = w - 357. Find the common denominator of (10\/(-90))\/((-2)\/w) and 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + y - 11.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35007 = 4557*f - 3108 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**2 + 15*o**2 - 49*o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19670 - 19685. Let u(t) = 3*t**3 + 44*t**2 - 17*t - 20. Give u(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224*z - 14516 + 14516)*(15 - 1 + 9)*(1 + 1 - 4).\nAnswer: -10304*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) be the third derivative of -t**4\/24 - 4*t**3\/3 + t**2. Let l be b(-8). Which is smaller: l or -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 174663*f + 209806 wrt f.\nAnswer: 174663","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4 times 9313\nAnswer: 37252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 123\/14 + -17\/2. Which is smaller: x or 153?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 421618 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-8*c - 3*c + 3*c)*(-c + 2*c + 3*c) to the form u + l*c**2 + d*c and give l.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 288675 and 45?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000241730645 rounded to five dps?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*q**3 - 2*q**3 + 7*q**3 + 0*q**3 + 33 - q**3.\nAnswer: q**3 + 33","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 71*v + 2535 - 1541 for v.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51 = 5*r - 21. Let q(j) = 20*j**3 + 17*j**2 - 17. Let m(v) = -7*v**3 - 224 + 230 - 2*v - 6*v**2 + 2*v. Determine r*q(l) - 17*m(l).\nAnswer: -l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 10. Let f = -6 - -10. Suppose 3*u - u - 60 = 0. Solve i*j = -q + u, 20 = 3*q - f*j + 5*j for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 846.9 + -847. Which is the biggest value? (a) -2 (b) s (c) -1\/97 (d) 0 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 116 = -2*c - 2*p, 0 = -2*c - p - 68. Let m be c\/(-8) - 1\/(-2). Let w = 97 + -62. Calculate the greatest common factor of m and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -6*(sqrt(288) + (3 + sqrt(288))**2 + sqrt(288) + (sqrt(288) - (sqrt(288) + 4 + sqrt(288)))) + 1.\nAnswer: -1755 - 504*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 1713*h**2 - 866*h**2 - 864*h**2.\nAnswer: -17*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.4 (b) 1 (c) -6.63 (d) 0.03 (e) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -25720 or -282926\/11?\nAnswer: -25720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/6)\/(15\/180).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 + -7.86. Let o = s - 0.14046. What is o rounded to four dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) be the second derivative of -i**3\/6 - i**2\/2 + 60*i + 2. Let u be (44\/(-20) + 3)*-35. Let n = u - -23. Let y(o) = 7*o + 2. Give n*m(d) - y(d).\nAnswer: -2*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*r**3 - 11*r**2 + 11*r**2)*(-3*r - 4 + 2 + r) to the form b*r**4 + d*r + k + z*r**2 + f*r**3 and give f.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 99\/(-15) - -5 - -1. Let v be (-34)\/(-17) - 4\/3. Which is the fourth smallest value? (a) v (b) -3\/2 (c) g (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 458 minutes before 12:52 AM?\nAnswer: 5:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -16*x - 28281 + 4745. Let d = x - -2508. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z - 3*z - 2*z + (-1 + 1 - z)*(27 + 17 - 7) + (6 - 1 - 3)*(0*z + 6*z - 5*z) - 3*z + 4*z - 2*z.\nAnswer: -38*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m - 3*g - 177 = 175 - 324, -62*m - 7*g - 683 = -11*m - 3*g for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1059966856?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 22*c**2 + 393*c - 10254. What is f(24)?\nAnswer: 330","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4141 is divided by 1377?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 4\/7, -2\/5, -12\/11, -4 in decreasing order.\nAnswer: 4\/7, -2\/5, -12\/11, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1134 - -42?\nAnswer: -1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 7695375 to the nearest 100000.\nAnswer: 7700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2900226, 2900220, 2900210, 2900196, 2900178, 2900156, 2900130?\n\"Answer: -2*x**2 + 2900228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -3*q - 2. Let f(t) = t + 1. Suppose -2*p + 36 = p. Let r be -2 - (-8 - 0)\/(-2). Let w be (-4 + 0)\/(p\/r). Give w*s(l) + 4*f(l).\nAnswer: -2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 6*u = 4. Suppose l + 0 = -u, -l = 4*r - 23. Let b = r + -15. Is b equal to -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4714689770.\nAnswer: 2, 5, 7, 67352711","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = 2*f - 3*f. Suppose -5*i + 200 = -i. Suppose -i = -y - y. Calculate the remainder when f is divided by y.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 3*y = -2*y + 29, 0 = -5*y + 25. Suppose u - 1 = k. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2553, -2554, -2557, -2562, -2569, -2578, -2589?\n\"Answer: -b**2 + 2*b - 2554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(5*2*sqrt(95))\/(sqrt(45)*-1).\nAnswer: -10*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.79285t in milligrams?\nAnswer: 18792850000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -8*j - 2. Let s = 65 - 72. List the prime factors of i(s).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -1158239*c**3 - 6349*c**2 - 6349*c - 6349. Let y(v) = -912*v**3 - 5*v**2 - 5*v - 5. Give 5*a(t) - 6349*y(t).\nAnswer: -907*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 264121.5s in nanoseconds?\nAnswer: 264121500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 132 + 8. Suppose 0 = 4*m + 116 - n. Is m a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 42 and 1361570.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 24 = 5*g - g, 0 = 5*g - 2*y + 3. Suppose -36 = -4*z - 2*x + 46, 2*z - 3*x = 21. Let c be (3\/(-8))\/(z\/8). Put g, 2, c in ascending order.\nAnswer: c, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 2, -14, 477, -3, -4 in decreasing order.\nAnswer: 477, 2, 1, -3, -4, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 781768 divided by 26\nAnswer: 30068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z**2 - 18*z - 69. Calculate j(-5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 247583, 247546, 247509, 247472, 247435, 247398?\nAnswer: 247361","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -243.5 + 243.3. Which is the nearest to 2? (a) p (b) 0.3 (c) -23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mjmm when four letters picked without replacement from mpmvjvm.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 - 17*g**2 - 38*g - 227. What is the thousands digit of o(-16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -331, -1152, -2463, -4264?\n\"Answer: -245*u**2 - 86*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microgram in nanograms?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 17*c**2 + 5*c + 3. Let l = 3178 - 3173. Let m(j) = 11*j**2 + 3*j + 2. Determine l*i(w) - 8*m(w).\nAnswer: -3*w**2 + w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(2\/11))**(-31\/2))**(-28)\/((d\/(d\/((d**2*d*d)\/d)))**(-2\/51))**47 assuming d is positive.\nAnswer: d**(15790\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*j**4 + 4*j**4 - 2*j**4 + (-2*j**4 + j**4 + 2*j**4)*(-757 - 551 + 117) as x*j + r*j**2 + q*j**4 + m + t*j**3 and give q.\nAnswer: -1193","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 844 - -0.469289?\nAnswer: 844.469289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*a**2*m**3 - 2*a**2 - 2423*a*m**3 + 3*a*m - a + m - 83 wrt m.\nAnswer: -12*a**2*m - 14538*a*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 260 and 360?\nAnswer: 4680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -0.7. Let h = -301.4 - -210.7. Let l = h - -90.8. Which is the closest to 0.3? (a) p (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 70759031 - 3?\nAnswer: 70759029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 471700 is divided by 6289.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/480*(-1 - -3))\/(21 + (-405)\/18)?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3536 = 58*z - 12410. Calculate the remainder when z is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 10a - -1?\nAnswer: 10b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*u + 112*u + 162 = 0. Solve -b - 3*g = 12, -4*b - u = 2*g + 3*g for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = -9 - 51 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1099, -6, 29, -2, 6 in descending order.\nAnswer: 1099, 29, 6, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785421?\nAnswer: 3, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 264318 is divided by 1762?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -17 - -20. Suppose -4*c - 45 = -8*c - k, -k - 32 = -a*c. Are -1 and c non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3161*n + 3170*n + 3175*n - 9495*n. Let s(g) = 2 + 10*g + 1 - 3. What is s(y(b))?\nAnswer: 110*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4206.6 - -4206.600020717. What is n rounded to five decimal places?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*(sqrt(19)*-2 - sqrt(19)) - sqrt(304)*5).\nAnswer: -64*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate i**2*x + 2*i**2 - 9*i*x**3 + 2*i + 2*x**3 - 59 wrt x.\nAnswer: i**2 - 27*i*x**2 + 6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 3*n - 43, 2*r - 2 = -2*n + 8. Solve 0 = -4*c + 3*x - 12, 2 = 4*c - 5*x + r for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -9a8 - -2?\nAnswer: -9a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 67783, 143584, 219385, 295186?\n\"Answer: 75801*x - 8018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-8.7.\nAnswer: 2.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the first derivative of 363*u**5\/5 + 407*u**4\/3 + 272*u**3\/9 + 8*u**2\/3 - 40*u + 64. Let i(r) be the first derivative of g(r). Solve i(c) = 0.\nAnswer: -1, -2\/33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 - 257 = 9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.013 - -2.497. Round k to one decimal place.\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21.66 - 22. Let j = o + 0.04. Let d(m) = m**3 - 4*m**2 + 1. Let g be d(4). Sort j, g, -2\/3 in decreasing order.\nAnswer: g, j, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -24\/5 - -22\/5. Let q = 13\/6 - -1\/3. Which is the second biggest value? (a) q (b) 0.3 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three tenths of a decade in years?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -5786 > -5797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes before 6:45 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -69112*x + 69003*x - 1199 for x.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**4 + 2959840*z**3 + 438032641280*z**2.\nAnswer: 5*z**2*(z + 295984)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4 - ((-26)\/91 - 4\/(-14)). Suppose 5*i + 2*w - 125 = 0, 0*i = -4*i + d*w + 72. Does 4 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/6 + (-28)\/(-8). Suppose -17 = -h + 2*d, k*h + 5*d + 8 - 81 = 0. Solve h - 1 = 4*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 403026.921 rounded to the nearest ten?\nAnswer: 403030","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 c, and 1 n when three letters picked without replacement from {c: 6, u: 3, n: 1, a: 1, l: 6, z: 1}?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-12)\/(-10))\/(18\/45). Find the second derivative of 15*d**5 - l*d**5 - 9*d + 5*d**5 wrt d.\nAnswer: 340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 4, -0.4, -1\/9, -0.5?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, 1, 3, -250 in descending order.\nAnswer: 3, 1, -9, -250","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + -3 + -1 - (97 - 61 - 34)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000101101 (base 2) to base 15.\nAnswer: -272","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**2. Let q(h) = 25*h + 16. Let y(n) = n + 2. Suppose 4*r = 38 - 26. Let p(b) = r*q(b) - 24*y(b). Give p(t(x)).\nAnswer: 51*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from {o: 6, r: 2}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 30*l**3 + l - 1. Let c be 8 + (0 - 0) + 0. Suppose -f + c = 7*f. Calculate the remainder when 57 is divided by d(f).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2376.252023 to the nearest integer.\nAnswer: 2376","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 508933927 to the power of 1\/8, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -8766 (base 12) in base 16?\nAnswer: -3a3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 16) in base 10?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 144 = -2*r - 0*c, 0 = -3*c - 3. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 516?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9850 is divided by 822?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3905 + -3902. Solve -13*h - l*h - 48 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*g + 31*g + 17 = 3*q, 0 = g - 3*q + 11. Solve 5*f + 10 = h, f - h + g = -f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12151006 - -6?\nAnswer: 12151012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/1003250 and -6\/275?\nAnswer: 11035750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.0754 - -0.0316. What is g rounded to three dps?\nAnswer: 0.107","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -3*i - 5. Let h(n) = -16*n - 28. Let v(r) = 5*h(r) - 28*p(r). Let w(o) be the first derivative of o**2 + 3358. Calculate v(w(c)).\nAnswer: 8*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 201 - -9. Let d = b + -155. What is the smallest common multiple of 35 and d?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 931071?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x + 198*c = -57 + 1039, 4*c - 20 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48457 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3850?\nAnswer: 2, 5, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -630880, -630875, -630870, -630865?\nAnswer: -630860","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 685 minutes after 10:01 PM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 2*c - 67 = 0, 0 = 40*c - 37*c + 6. What is the highest common divisor of o and 2627?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 684 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**3 - 635*c**2 + 11727*c + 446. Determine s(18).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**3\/9 - 7348*p**2\/9 + 14690*p\/9 - 816.\nAnswer: 2*(p - 3672)*(p - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 2*j - 16, 6*j - 3*j + 2*v = 12. Let u(k) = -k**2 - k + 5. Let l(f) = -4*f**2 - 3*f + 21. Let c(h) = -2*l(h) + 9*u(h). Calculate c(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - x + x)*(0*x**3 - 4*x**3 + 3*x**3) - 6*x**2 + 22*x**4 - 5*x**5 + 6*x**5 - 20*x**4.\nAnswer: 3*x**5 + 2*x**4 - 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5925018 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010001110100110110101111 - -11?\nAnswer: 1010001110100110110110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -46264*k**5 + 305*k**2 - 25 wrt k.\nAnswer: -2775840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2275513 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 110 + -223\/2. Let s = -39 - -36.9. Let t = s + 1.9. Which is the smallest value? (a) v (b) 0 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 371389 + z**2 - 371389 + z - z.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10405*f - 10273.\nAnswer: 10405","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -2 + (-2 - (-3 - 6)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 1166 + 1151 = 0. Suppose g - 9 = 3*q - 8*q, q + 3 = g. Sort 15, z, g in decreasing order.\nAnswer: 15, g, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 405.586 and 23.\nAnswer: 428.586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 13 = 6*g. Let c be ((-14)\/8)\/(5\/(-20)). Solve -5*i + q = c, 3*q + 13 = -g*i - 0*q for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 514 (b) -0.32 (c) 11\/26\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 45\/(-12)*2\/(-3). Suppose 4*v = -g - 2, 2*v + 0*g - 2 = -2*g. Sort z, v, -2 in ascending order.\nAnswer: -2, v, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.4 - 13.4. Let y = 12 + m. Let a = -0.9999996 + y. What is a rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83041 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 9*a**2 + 8*a - 8. Suppose b + 5*h - 3*h + 2 = 0, 42 = -5*b - 2*h. Calculate q(b).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2416 - -9595\/4. What is the common denominator of l and -41\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 187794251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(27) - (sqrt(27) + 2 + sqrt(27)))*4 - sqrt(297)\/(sqrt(22)\/sqrt(2)))**2.\nAnswer: 240*sqrt(3) + 739","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(85\/(-2)) + (-597)\/(-1655). Let y = c - 3835\/11916. What is the common denominator of -43\/28 and y?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 2*b - 3 = 0. Let y(l) = -3 + l + b - 2*l. Let n(c) = 3*c**2. Calculate y(n(i)).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 102 = 7*h + 137 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(2 + (-14)\/5). Let c = 0.36 - -0.07. Let s = -0.03 + c. Sort d, -4\/3, s in increasing order.\nAnswer: -4\/3, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-3))\/(-2) - (-1827)\/(-882)*-21.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 16*s + 28. Let a(u) = 5*u + 9. Let l(r) = -7*a(r) + 2*z(r). Let x be l(-5). Calculate the greatest common divisor of x and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1948)\/4383 - (-10)\/(-12)*(-88)\/(-78)?\nAnswer: -18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 335 - 112 - 112 + 5186*n - 111 in the form f*n + i and give f.\nAnswer: 5186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -2 - 3 - 0\/(-3). Let i(j) = -10*j - 45. Let s be i(h). Suppose 5*c + 4*p = -1, -5*c = -5*p - 22 - 13. Solve 0 = -2*g + c*g - s for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 657910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*p - 49*p = 50*p - 480112. What is the hundreds digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/2)\/((-81)\/21 + 4). Let p(y) = 6 + 7 - y + 2*y. Determine p(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (110 - 42 - (-4 - (-12 + (6 - 5)))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 189277270?\nAnswer: 2, 5, 7, 13, 207997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mtmmvttkkjtmmvtm. What is prob of sequence mm?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7285, 15550, 25617, 38386, 54757, 75630, 101905?\nAnswer: 134482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:22 PM and 2:24 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) be the third derivative of -5*x**9\/432 + x**8\/21 - x**7\/42 + 7*x**3\/6 + 23*x**2. Let t(j) be the first derivative of p(j). What is f in t(f) = 0?\nAnswer: 0, 2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (-5 - -9) - (1 + 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4 - -4. Suppose 3*k = 5*a - 15, -2*k = 4*a + 10 - y. Solve p + p + 8 = a for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9 and 10167.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*o + 425*o**2 + 1180 - 416*o**2 - 1180 to the form c*o**2 + b + s*o and give c.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 1721 = -2*v, -j + 22*v + 351 = 25*v. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 4 + 2)*(-5 + 0 + 2)*(3 - v**5 - 3).\nAnswer: 9*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -30731743.3 times -0.2?\nAnswer: 6146348.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1871*o + 1864*o + 183127. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4614 and 12948422.\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(16\/116)*(-2 + 4). Let n = 40 - p. Suppose -5*r + n = -96. Calculate the remainder when r is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d**3 + 10*d**2 - 6*d - 7. Suppose 4*p - 5*b + 4*b - 24 = 0, 3*p - b - 18 = 0. Is 17 a factor of f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -7*m**3 + m**2. Determine q(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes before 2:27 AM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3842285*d**3 + d**2 + 7970621*d wrt d?\nAnswer: 23053710*d + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6781*v - 6778*v + 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*f + 419704 = -9*f. Let o = -54929\/6 - f. Do -30 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14\/9, 1, -107, 3, 2\/11 in decreasing order.\nAnswer: 3, 1, 2\/11, -14\/9, -107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 9*g**2 + 1. Let q(r) be the second derivative of -r**4\/6 + 4*r + 16. Give m(q(b)).\nAnswer: 36*b**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17 + -12. Let s = -1.6 - -8.6. Let l = s - 11. Which is the closest to 0.1? (a) g (b) l (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x + 88 + 220. List the prime factors of x.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 84 + 269. Let z = t - 32. Solve 3*s - 12 = -3*w + s, z*w - 13 = -s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 14*l - 216. Let j(o) = 3*o - 34. Calculate the smallest common multiple of 20 and j(l).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.1, 1\/194, 0.04, 3, 4\/3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5\/b**(2\/21))\/(b**(-2\/21)\/b**(4\/13)) assuming b is positive.\nAnswer: b**(69\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1339*-0.38.\nAnswer: 0.050882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i + 4 - 2 - 4)*(-1 + 0 - 1)*((i + 2*i - 2*i)*(2 - 2 + 7*i**3) + 0*i**4 + 0*i**4 + 3*i**4).\nAnswer: -20*i**5 + 40*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**2 - 24*m. Suppose -19*o - 258 = 141. Give p(o).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261201 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47503 + -12 + -4 + -4?\nAnswer: 103, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4576 divide 2348812062?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*a**(-4))\/((a\/a**(3\/4))\/a))**(-1\/12)\/((a\/((a\/(a*a*a**(-7)))\/a*a*a)*a)\/(a\/(a\/a**10)))**(4\/21) assuming a is positive.\nAnswer: a**(341\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 24 = p - 62, -4*s = 4*p + 16. Solve -p*k + 0 = 21 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/7 + 10084*g\/7 - 656832\/7 = 0. Calculate g.\nAnswer: 66, 4976","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -106\/6825 and 81\/140?\nAnswer: 27300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -155, -1174, -3911, -9224, -17971, -31010, -49199?\n\"Answer: -143*a**3 - a**2 - 15*a + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.987 or 0.2?\nAnswer: 0.987","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 5*s + 21 = 0, -3*o + 5*s - 9*s - 118 = 0. Let p = o + 69. What is the remainder when p is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 448 - 226. What is the hundreds digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 2*h + 0*h - h)*(8*h - 6*h + 4*h)*(3*h - 5*h + h) as l*h**2 + q*h**3 + r + p*h and give l.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-78 - -84) + -2 + (3 - 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - 1\/4)\/((-7)\/56). Let d = -1 - -3. Are d and v equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -2, 4\/181, -5, -1\/4, 2\/51, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3389 to the power of 1\/5, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 133*l**2*v - 3*l + 65*v wrt l?\nAnswer: 266*l*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 26. Suppose -3*n - 2*m + 62 = 0, -u*n + 52 = -7*m + 2*m. What is the smallest common multiple of n and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2584*g**2*j**2*w**2 + 4*g**2*j*w**2 + 12*g**2*j - 2*j**2 - j + 33*w wrt w.\nAnswer: -5168*g**2*j**2 + 8*g**2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13605\/4 + -3402. Sort 1.5, h, -2\/13.\nAnswer: h, -2\/13, 1.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18\/5*j + 8\/5 - j**2 = 0.\nAnswer: -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*s - 1022131 = 320384, 5*s - 895021 = -2*c. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 24 - -26. Let t = -50.5 + p. Let h = -2 - -1. What is the second smallest value in t, h, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -460 or 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 23*u**3 + 3*u**2 + 3*u + 3. Let l(a) = 1242*a**3 + 161*a**2 + 161*a + 161. Determine 161*k(n) - 3*l(n).\nAnswer: -23*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 6*m - 7. Let p be j(3). Let i(q) = -q**3 + 11*q**2 + 4*q + 14. Is i(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (8 - (1 - (2 + -7)))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at least as big as 12340.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*r**5 + 91*r**3*y - 6*r**2*y + 2*r*y - 273916*r - 5*y + 2 wrt r.\nAnswer: 80*r**3 + 546*r*y - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of ((-6000)\/(-700))\/((-3)\/(-14)) and 3.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 371593*b*i**2 - 1100*b*i + b - 48 wrt i?\nAnswer: 743186*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = 4, 3*q - 3*i + 77 = -4*i. Let j = 63 + q. List the prime factors of j.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 170, 192, 242, 332, 474, 680?\nAnswer: 962","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 2*c - 4*b + 415 = 0, 3*b = 2*c + 173. Let t = -9 - c. Suppose f - 46 = -f + 4*r, 0 = 5*f + 5*r - t. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**4\/4 + 4*r**3\/3 + 2*r**2 + 3*r - 2. Suppose 0 = 6*t + 3*t + 27. Let f be i(t). Solve 0 = c - 2 - f for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3617 is divided by 362?\nAnswer: 359","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*w + 6*w + 86*w - 1350 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = -2*l + 4*q - 59, -3*l - 3*q = 390. Let u = 206 + l. What is the remainder when u is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/39 and -12\/91?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 1:59 PM?\nAnswer: 2:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Total of -32.36556 and -0.2.\nAnswer: -32.56556","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 76 - (100 + -86 + (-1 - -8))\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1668 by 6.\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 12, h: 3}. Give prob of sequence qq.\nAnswer: 22\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 370636813?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -720*p - 710*p - 711*p + 2144*p.\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - ((2 - 1) + 7)) + -307 + 251.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, 17, -5, -13\/3 in increasing order.\nAnswer: -5, -13\/3, -1\/3, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*o + 520 = 283*o - 200 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -17300 divided by -25\nAnswer: 692","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -1279*z - 2610*z - 5039*z - 26612949 + 26612949 in the form w + c*z and give c.\nAnswer: -8928","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 776 - 386. What is the tens digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p = 4*o, 0 = 4*o - 2*p + 7*p - 32 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -15. Let v = o - -13. Put -5, -4, v in descending order.\nAnswer: v, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/11 in 172, -5, 179?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6\/11 - 1367\/66. What is the common denominator of -95\/52 and d?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a**(-1\/12)*a**11 assuming a is positive.\nAnswer: a**(143\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 81*n + 3986. Calculate u(-50).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 9825389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-3)*(-8)\/(-28).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2264, -17166, -57616, -136388, -266256, -459994, -730376, -1090176?\nAnswer: -1552168","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 160\/3. Let u = 113 - 109. Sort 0.4, u, x in increasing order.\nAnswer: 0.4, x, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3237? (a) -5 (b) -9 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 times 585319\nAnswer: -292659.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.7 + 3.79. Let u = 0.19 - q. Are u and -2\/15 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d + 5*p + 281 - 251, 0 = -3*d - 5*p - 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.025 - 3.125. Let m = r + 2.6. What is the third smallest value in -4, m, -3\/2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the first derivative of 7*p**2\/2 - 6*p + 5. What is the first derivative of c(b) wrt b?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 6*k**2 - 10*k - 1. Let w = -753 - -750. Let j be i(w). Factor 0*a - 1\/4*a**j + 0.\nAnswer: -a**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*t**2 + 1\/3*t**4 + 4\/3*t - 4\/3*t**3 - 1 = 0. Calculate t.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, -0.98, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4*-7645\nAnswer: -30580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = g**2 + g + 3. Let z be p(0). Let y(n) = -n**3 + 3*n**2 + 3. What is the units digit of y(z)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n = 12*n + 12*n - 360 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -i + 15 - 26 + 12. Let x(s) = 9*s - 12. Give 12*n(r) + x(r).\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*l*m**3 - l*m - 578*l - 2137*m**5 + m - 5 wrt m.\nAnswer: -30*l*m - 42740*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/7*116\/(-87)*6\/(-6)\nAnswer: -24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.01 - 0.07. Let r = i - 0.94. Is -2\/7 at least as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jkjkkdkjjjjkjkj. What is prob of sequence jkj?\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -1\/36 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + -661553?\nAnswer: -661552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 15 = -2*z + 56, -3*l = z - 28. Let v = z - 19. Is 24 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 19\/27, -1\/6, -15\/83?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(3 + sqrt(11) + 1 + 1 + -3).\nAnswer: 6 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*p - 3*f = 17*p - 1506, 2*f + 371 = p. Let k = p + -371. Solve -k*c = -c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -2 (b) 36\/41 (c) -3 (d) -0.1 (e) 0.2152\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 5 and 20.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 45135?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1008\/21 - (8 - 5 - -16)\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16879901?\nAnswer: 16879901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10, -120, -420, -1006, -1974, -3420, -5440, -8130?\nAnswer: -11586","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 5 - 9 - -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 109028283 and 42952?\nAnswer: 5369","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 58722822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 4947 = 3*r + h, 4*h + 4952 = 2*r. Suppose r = -5*b + 6914. Suppose 0 = q - b + 101. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 602 and 195 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*s**2*y**2 + s**2 + s + 242112*y**2 - y + 7123504 wrt y.\nAnswer: 4*s**2*y + 484224*y - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 18244.38l in millilitres?\nAnswer: 18244380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-6*(-2*sqrt(121) - sqrt(121))*2)\/((6*(sqrt(132) + (sqrt(132) - (sqrt(132) - sqrt(132)*-2))))\/(-1*sqrt(12)*2)).\nAnswer: -60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of y**5\/60 + y**3\/2 - 1939*y**2. Let w(x) = x**2 + 6. Give 5*l(h) - 3*w(h).\nAnswer: 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1262)\/(-76) + 10\/(-95). Is 18 <= o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17653904 divided by 8\nAnswer: 2206738","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.5, 0, 4.7, -7.667?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0015534887332 rounded to 4 decimal places?\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((3*sqrt(132))\/sqrt(12)*-4)**2.\nAnswer: -1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 3*o + 2*o)*((-o**3 - 3 + 3)*(o + 0 + 0) - 5*o**4 - 2*o**4 + 3*o**4).\nAnswer: -15*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3 + 3 - 10*c**2 + 12*c**2. Let s(u) = 16*u. Calculate n(s(d)).\nAnswer: 512*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**2 + 34*d + 47. Let p be o(21). What is the highest common factor of 60 and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/64)\/((-1304)\/(-125184)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 218, 211, 204, 197, 190, 183?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - 10\/(-7 + 2). Solve -f = j + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 3*s = 0, 0*y - s = y - 8. Suppose l - y = 2. Let r = 25 + l. List the prime factors of r.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87012?\nAnswer: 2, 3, 2417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/264822 and -197\/2936070.\nAnswer: 67529610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 4205833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3414 is divided by 22.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y + 28. Let i be a(-8). Let p = -91 + 231. Calculate the highest common divisor of i and p.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 8*h - 1. Let i be g(1). Let l(u) = u**3 - 5*u**2 - u - 1. Let z be l(i). Suppose 0 = -5*v + 10 + z. Is v a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -4 + -1034242?\nAnswer: -1034301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 91*b**5 + 13*b**4 - 18*b**3 - b**2 - 14720*b + 1 wrt b.\nAnswer: 5460*b**2 + 312*b - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 116 - 115. Is j > -2\/343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:33 AM and 12:40 PM?\nAnswer: 367","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 9\/2*y**2 - y + 1. Let v be s(1). Solve 0 = -v*x + 3*x - 4*m + 11, 9 = 4*x + 3*m for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -67*s**3 + 33*s**3 + 33*s**3 - 156*s**2.\nAnswer: -s**3 - 156*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 - -294593?\nAnswer: 294593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8 - 17) + 15 - 14.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dggkkmomkgkmmkkkkdo. What is prob of sequence ddo?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 20321304?\nAnswer: -20321304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 3*i + 8 = 0, -2*i - 6 = -3*r + i. Is -12 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 2:28 AM?\nAnswer: 4:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 69836.1 to the nearest ten thousand.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -713*o**3 + 410*o**3 + 485*o**3.\nAnswer: 182*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-28 - 3877*x - 28 - 33 + 89).\nAnswer: 7754*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6? (a) -18 (b) 3 (c) -5 (d) -2738\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 146\/219 + (0 - 0)\/2. Let j = 12.03 - 12. What is the nearest to 2\/7 in 3\/2, j, a?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*n - 7*n + 0*n + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13753, 55073, 123967, 220441, 344501, 496153?\n\"Answer: x**3 + 13781*x**2 - 30*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 1:16 AM?\nAnswer: 11:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) - (sqrt(84) - ((sqrt(84) - (-1*sqrt(84) + sqrt(84) + sqrt(84))) + sqrt(84)))*6)\/((1*sqrt(144))\/sqrt(12)).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 5 + 3)*(2*i - 2*i - i)*(-3*i**2 + 4*i**2 - 7*i**2).\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (15753\/(-2492))\/(-59)*-9*4.\nAnswer: -27\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 + 51. What is the least common multiple of 32 and q?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes after 1:08 PM?\nAnswer: 12:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1587336 and 3540.\nAnswer: 7936680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 73 a factor of 3033758090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 2*s - 32. Let j be d(17). Solve 4*l = y + 8*l + 15, l - 3 = j*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -5*c + 4*c - 23, 5*h + 2*c + 26 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - q - 1, v = 4*q - 4 - 2. Let a be (-1)\/(-2 + v - -3). Suppose -6 + 30 = 4*r + 2*n, 0 = 2*n. Solve 2*b = 2*g + 2, -b + r = a for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1169 (c) -0.5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of b*o - 4099254*b - 17*o - 274844 wrt b?\nAnswer: o - 4099254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + ((-3 + sqrt(500) + sqrt(500) + sqrt(500) + 5 - (sqrt(500) + 3)*6) + 4)*1)*3)**2.\nAnswer: 4320*sqrt(5) + 41076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-443*q**5 - 220*q**5 + 11*q**4 - 11*q**4)*(-7 - 8 + 1).\nAnswer: 9282*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -1971*j + 2*j**2 + 3938*j - 1967*j. Let a(y) = -318*y**2 + 2*y. Give a(z(r)).\nAnswer: -1272*r**4 + 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 38677 and 29.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -20229 + 20227. Let y = 0.9 - -0.1. Let a = y + -1. Which is smaller: a or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven quarters of a year?\nAnswer: 21","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 z when two letters picked without replacement from {q: 2, z: 2, x: 1}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9319*k + 18184. Determine h(-2).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -547 + 571 = -8*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-1 + sqrt(132)\/sqrt(3) - 2*sqrt(539)*2)**2.\nAnswer: 52*sqrt(11) + 7439","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1788 + 1?\nAnswer: -1787","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) 0.5 (c) 0.08 (d) -46\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 6*p + 25. Let f(a) = -a. Let x(g) = -6*g - 3. Let q(n) = p*f(n) + x(n). Let s(r) = 6 + 1 + r + 0*r - 3. Give -4*q(h) - 3*s(h).\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5\/1)\/((-2)\/(-2)). Let o = 7559 + -7571. Suppose 5 = 2*i + 15. Which is the nearest to o? (a) i (b) -0.3 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f - 3 - 177. Suppose -4*m - 34 = -f. What is the smallest common multiple of 4 and m?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 7*n - 12. Let k be r(10). Suppose 2*p = -4*q + 1158, 5*p = -2*q - k + 649. What is the greatest common factor of 36 and q?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 363\/6 + 2\/4. Let f = t - 89. Let c = 5 - f. List the prime factors of c.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -925 = 1260*o - 1285*o for o.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 556*q**2 - 94*q + 6. Let i(f) = 277*f**2 - 40*f + 3. Calculate 7*i(c) - 3*y(c).\nAnswer: 271*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*g + 2 = -14. Let r(i) = 143*i**3 - 4*i**2 + 5*i - 1. What is the remainder when r(g) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 5*1\/2*12\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y**2 - 2502 - 2508 + 7514 - 2498.\nAnswer: 2*y**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21\/6*(-36)\/315?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.6208754 - -0.071.\nAnswer: 1.6918754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -72.904337 rounded to 0 decimal places?\nAnswer: -73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*b**3 + 2*b**3 + 2*b**3 + (0 + 0 + 4*b**2)*(2343*b - 1294*b - 1313*b) + 0*b**3 - b**3 - b**3.\nAnswer: -1057*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -993, -434, 487, 1764, 3391?\n\"Answer: -v**3 + 187*v**2 + 5*v - 1184","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -dc2 + -4?\nAnswer: -dc6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(46\/2)\/(-1). Let t = w + 42. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 43 = -m, -m + 10*b = -27*b + 33*b - 15 for m.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 989 in 0.05, 0.4, -5, 0.1, -1\/3, -4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1315 - -34?\nAnswer: -1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y\/(y**(-3)\/y)*y**(4\/3)\/y*y*y**(5\/2)*y**(-1) assuming y is positive.\nAnswer: y**(47\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 5:58 AM?\nAnswer: 4:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -631366, -98 in decreasing order.\nAnswer: 2, -98, -631366","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n**3\/9 - 2968*n**2\/9 - 1008902*n\/9 + 1011868\/9 = 0. What is n?\nAnswer: -286, 1, 1769","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2291689, -4583422, -6875169, -9166936, -11458729, -13750554, -16042417?\nAnswer: -18334324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p. Let m(g) be the second derivative of -1\/2*g**3 + 0*g**2 + 0 + g. Give m(a(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 4:21 PM?\nAnswer: 6:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/31, -14, 10, -5\/7, 3.\nAnswer: -14, -5\/7, 3\/31, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 207*c**2*i**2*l - 129*c**2*i*l + 9*c**2*l + c*i**2*l + 2*i**2*l wrt i.\nAnswer: 414*c**2*l + 2*c*l + 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 34, 58\/431, 0?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/2*7\/945*3.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*((-13176)\/(-486))\/(52\/(-39))?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 81\/4 in 2\/16869, 1, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/118992 and 13\/1335552.\nAnswer: 89481984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - a + 11*a = 0. Suppose 0*p - 3*p + 3 = 0. Sort a, 9, p in decreasing order.\nAnswer: 9, p, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1015 = 38*w - 964 - 1669 for w.\nAnswer: 96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 49430, 98861, 148294, 197729, 247166, 296605?\n\"Answer: v**2 + 49428*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-59 - -32) + 4 + (1 - -6)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1960401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4\/3, -0.5, 0.03, 223\/3?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.07? (a) 2\/13 (b) -2\/11 (c) 0.5 (d) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -z**3 - 7*z**2 + z - 7. Calculate l(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3355393?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 + 36*l - 55. Calculate o(-37).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-9)\/15)\/((-1)\/5). Suppose -7*d + u*d = -12. Solve 0 = -2*n + 1 + d for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -16745806520 and 8.\nAnswer: -16745806512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dddx when four letters picked without replacement from rrrxrrrxrrxdrrdrrd.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (1 + 44)) + (-59 - -77)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/98)\/((-6)\/(-21))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 1633, 1643, 1653, 1663, 1673, 1683?\n\"Answer: 10*b + 1623","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u**2. Let f(m) = 0*m + m + 3*m. Calculate f(a(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 34303138697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-17*t + 5*t**2 - 11*t**2 + 9*t**2)*(0 + 1 + 4*t**2 - 3*t**2 - 4*t) to the form p*t**3 + c*t**4 + k*t**2 + w + s*t and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 2 = 4. Let j = 6 - 1. Suppose 5*x + 3*p - 15 = 0, -20 = s*x + p - j*p. Solve 5*b + 0*g = -5*g, 4*b - 4*g + 16 = x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (5 - -1) + 12\/(-18)*6. Let w(r) = -t*r**2 + 22*r - 6 + 2 + 3 - 15. Let y be w(9). Solve -5*c = -c - y for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = 3*h + a, -18*a + 17*a = h + 13 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the second derivative of 3*x**3 - 21*x**2 + 717*x - 1. Determine v(1).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a millimeter in micrometers?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 is divided by -19*(9 + 9 + -19)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 495?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*-441.64.\nAnswer: 220.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 - 2*m**2 + 3*m + 3. Suppose 0 = -2*h + 27 + 7. Let t = h + -6. Let x = t + -8. Let p(i) = i + 1. Give x*p(u) - l(u).\nAnswer: u**3 + 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 6022241 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rvrmryrrtttmmtmrryr. What is prob of sequence vmt?\nAnswer: 8\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-10) - (-114)\/5. Let g(t) = t**3 - 21*t**2 - 45*t - 21. Let h be g(i). What is the greatest common factor of 16 and h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 58*h**2 - 187*h - 238. Let w be d(-61). Solve 331*t + w = 325*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5975 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 208\/20*(-6 - -36)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 182763*g**2 - 133638?\nAnswer: 365526*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -27993.\nAnswer: -11197.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*v**2 - 2 + 2 + (-2*v - 5*v + 5*v)*(4*v - 6*v + 0*v) + 2*v**2 - 2*v**2 + 2*v**2 + 37*v**2 + 65*v**2 + 77*v**2 + 6*v**2.\nAnswer: 189*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l. Let x(p) = -p**2 + 406497. Determine x(y(b)).\nAnswer: -4*b**2 + 406497","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 264\/990*5\/(-6)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(12) - sqrt(3)) + sqrt(3) + (sqrt(3) - (sqrt(3) + -2)*6 - sqrt(3)) - -6*3*((sqrt(3) + 1)**2 - sqrt(3))) + -2 + 4.\nAnswer: 10*sqrt(3) + 86","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -853*-6.\nAnswer: 5118","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 5:39 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -8*m**2 - 20*m - 32. Let t(l) = -7*l + 2. Give n(g) - 3*t(g).\nAnswer: -8*g**2 + g - 38","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 0*w - 5 = 0. Let k be -1 - (1 + w) - -8. Let d = 15 - k. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 140763.5 rounded to the nearest 1000?\nAnswer: 141000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 610070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -4 - 0 - 3*(-412 - -5)?\nAnswer: 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2182?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3623 - -2101561?\nAnswer: 2105514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*d + 3*d + 0*d)*(d**3 + 4*d**3 - 4*d**3)*(-8 - 16 + 0)*(-d + 0*d + 4*d).\nAnswer: 288*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 80696347 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/1038 and 143\/2076.\nAnswer: 2076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a**3 + 9*a**2 + 18*a. Determine v(10).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/2)\/((-65)\/(-156)). Let n = -213 + 213.4. Which is the fourth smallest value? (a) n (b) 1\/5 (c) -4\/9 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**3 + i + 30*i**3 + 6*i**3 + 68*i**2.\nAnswer: 27*i**3 + 68*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.03, -1200, 0 in increasing order.\nAnswer: -1200, -0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 7, l: 2, w: 3}. What is prob of picking 3 r and 1 l?\nAnswer: 14\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - r - 12 = -31, i = r + 1. Solve -i = 57*v - 55*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1020 + 31?\nAnswer: -767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5178 + -5179. Sort n, -0.4, -2\/395 in descending order.\nAnswer: -2\/395, -0.4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (81\/12)\/(3\/(-8)). Let v = 21 + a. Suppose -v*z + d = -4, 8 = -2*z + z + 5*d. Solve 4 = z*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 32\/5 of a gram?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -22322 >= -22316?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 4. Let h be 4*k*(0 + 1). Let r be 1\/2 - h\/(-2). What is the closest to 1 in 5, 2\/3, r?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 2*z**4 + 2*z**4 + (-2*z + 2*z + z)*(-1 + 1 + z**3) - 16*z**2 - 30*z**4 + 16*z**2 to v + g*z**4 + h*z**3 + a*z**2 + l*z and give g.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 2*j - 10 = 0. Let r(n) = 12*n**2 - 14*n + 3. Let s(q) = -8*q**2 + 9*q - 2. Let g(v) = j*r(v) - 8*s(v). Is g(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1705 is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 divided by 7140.\nAnswer: -1\/1020","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8 - 35 - 3)*(-4*j + 0*j + 2*j) + 5*j + 2 - 2 - 2*j + 2 - 2 in the form v*j + a and give v.\nAnswer: 95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - 3. Let y = 0.055 + -0.055. What is the nearest to y in 5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 527339 is divided by 4708.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3c - -4b?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 7:05 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uwa when three letters picked without replacement from fffffwfofffafu.\nAnswer: 1\/2184","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 4*c - l, -4*c - 13 = -7*c - 5*l. Let y(o) = 0 + 3 - c + o. Is y(6) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 741 and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 4 - 4)*(-19 + 13 + 14) + 2*n + 0*n + n + (2*n - 2*n + n)*(0 + 0 + 1) as o + v*n and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 777797?\nAnswer: 59, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -3*z**7\/35 + 11*z**3\/3 + 24*z**2. What is the first derivative of t(r) wrt r?\nAnswer: -72*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 68*q - 68. Give a(10).\nAnswer: 612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 66*-76.062\nAnswer: -5020.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-5) - (-8)\/(-5). Suppose 2*p + 8 - 2 = 0. Is k greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 302393157 a multiple of 363?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -402 - -16?\nAnswer: -3b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 173, 539, 1163, 2057, 3233, 4703?\n\"Answer: 2*a**3 + 117*a**2 + a + 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2808 = 6*x - 15522. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 35*l = -37*l - 88, -4*v + 84 = -5*l. What is the biggest value in v, 0.4, -2, -1\/2, -2\/5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from {z: 8, j: 3}.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1075381, -4301482, -9678317, -17205886, -26884189, -38713226?\nAnswer: -52692997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 8, -21, 2, -1173.\nAnswer: -1173, -21, 1, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 648*k = 11515 + 8573 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24\/8 - (1 + 3). Let i = 68\/3 + -23. Which is smaller: i or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6664335 is divided by 921.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -201 + 389. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191957553 a multiple of 2053?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 354853907*c**4 - 9*c + 25203153 wrt c?\nAnswer: 4258246884*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-6)\/(-1))\/1*(-2 - (-14990)\/60) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38*p + 33 = 12 - 2 - 15 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212388.\nAnswer: 2, 3, 11, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven halves of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 at most -18\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 136590752 to the nearest integer?\nAnswer: 515","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w = 4*u + 2, 352*u - 348*u + 12 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 96. Let o(s) be the third derivative of 5*s**4\/12 - 6*s**3 + 25*s**2. Let c be o(6). Calculate the greatest common divisor of c and m.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 + 1 + 7 - 15*y - 11*y**3 - 94*y to t*y**2 + d*y + s*y**3 + j and give d.\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-12)*f**(-2\/17))\/(f**(-33)*f*(f\/(f\/f**(-31)))\/f) assuming f is positive.\nAnswer: f**(882\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2105*a - 59644 + 59644)*(5 - 19 - 9) as c + g*a and give g.\nAnswer: -48415","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 233 + 104?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3000931717.\nAnswer: 7, 47, 167, 193, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003479870043 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 25 = 2*l. Let p(y) be the second derivative of y**4\/6 - y**3\/3 - y**2 + 9*y. Let x be p(-3). Solve 0*o - x = 5*r - 2*o, -3*r - l*o = 7 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-9))\/((-3)\/(-225)). Solve l = 2*w + 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (2 + 5)\/(1\/(-1)). Let h = b - -9. Solve -h*q - 1 = -3 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14520216?\nAnswer: 2, 3, 605009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -j**2 - 13777*j + 120. What is q(0)?\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -8.06 + 0.06. Let o = -7.96 - l. Let m = o + 0.06. Which is smaller: m or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and 0.23?\nAnswer: 0.092","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5516659?\nAnswer: 5516659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -767640, -1535439, -2303238, -3071037, -3838836, -4606635?\n\"Answer: -767799*l + 159","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d - 38 = 2*d - 4*f, 0 = -2*d + 558*f - 496*f - 298 for d.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 47610, 194252, 439928, 784638, 1228382?\nAnswer: 1771160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - 10\/12*(-357)\/28. Let s(q) be the first derivative of -19\/4*q**2 - l*q**4 - 65\/6*q**3 - q - 73\/10*q**5 - 5\/3*q**6 - 1. Let s(d) = 0. What is d?\nAnswer: -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**4*r**3 - 6*k**4*r - 28*r**3 wrt k.\nAnswer: 8*k**3*r**3 - 24*k**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*o - 3*o - 5*d + 29, 2*d = 5*o - 7. Let g = -4.6 + 4.3. Let j = -0.6 + 0.6. What is the closest to j in 4, o, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 59096, 236285, 531608, 945071, 1476680?\n\"Answer: d**3 + 59061*d**2 - d + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -58 + 29 + j**2 - 9*j + 29. Let q be y(9). Suppose -3*z + 105 = -q*z. List the prime factors of z.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 0*q**2 + 5*q**2 - 3 + 0*q - 6*q. Let k(i) = i**2 - 1. Let d(h) = -3*k(h) + n(h). Determine d(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -375803 and -375810 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -23 - -20.1. Let n = o - -3. Let d = -6.1 + 6. Is d smaller than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3824281 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 93 - 89. Let y(r) = r**3 - 4*r**2 + 3*r + 1. Let u be (-2)\/(-9) + 50\/18. Let f be y(u). Which is the nearest to f? (a) 2\/19 (b) -5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n**2 - 2923734*n - 2923731 = 0. What is n?\nAnswer: -974577, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**2 - 5*i + 8. What is the units digit of q(5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(650)*1*6)\/(5*-1*sqrt(2) - 5*sqrt(6)\/sqrt(3)))**2 + -4.\nAnswer: 12*sqrt(13) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-54))\/((-9)\/(270\/(-20))).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 2 + 1\/(-1) + 1. Let l be (-1 + 3)*(-3)\/x. List the prime factors of 6\/(-2) - (-30 + l).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 207511 - 2?\nAnswer: 207507","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum 140171796983 and 55.\nAnswer: 140171797038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/39 and ((-5)\/15)\/((-581)\/119 - -6).\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 158341187 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*i + 6 = -39*i. Solve -2 = -i*o - 0*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -43 - 60 + 3*f**2 + 99. Give o(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y + 9. Give p(3).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - -2. Suppose -v = w - 3. Let i be ((-28)\/(-49))\/(2\/7). Solve -i*y - w + 7 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -4*d**2 - 234. Let u(r) = 34728*r. What is u(b(c))?\nAnswer: -138912*c**2 - 8126352","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**2 - 8*q\/3 + 1\/3 = 0. What is q?\nAnswer: -1, 1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the second derivative of -2*q**3 + 17*q**2 - 9*q. Is 5 a factor of r(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -461 + 457 = -4*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 + -16 - (-12 - 0) - -13) + -10.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*g**2 + 2*g**2 - 3*g**2)*(-8 + 8 - 8*g) - 953*g**3 + 114*g - 114*g to the form d*g + v*g**3 + j*g**2 + r and give v.\nAnswer: -969","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1112200 - -322132203?\nAnswer: 321020003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6114 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 2*y**2 + 1. Does 3 divide d(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 13552 and 2756369.\nAnswer: 485120944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = s - 1, -s + 17 = -4*k + 8*k. Suppose -4*y + 11*n = 7*n - 80, -k*y = 3*n - 59. What is the highest common factor of y and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1154381, 2309050, 3463707, 4618346, 5772961, 6927546?\n\"Answer: -a**3 + 1154676*a - 294","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-32)\/4 - (-35)\/5)\/(-5). Which is the second smallest value? (a) l (b) -1\/102 (c) 4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 4*i = -38, 5*x + 30 = 5*i - 10. Let u be ((-12)\/20)\/((-2)\/x). Let l(m) = m**2 + 8*m + 4. Determine l(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8041 (base 10) to base 2\nAnswer: 1111101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-34)\/f**(7\/4)*(f\/(((f*f*f\/(f\/f**2)*f)\/f)\/f)*f)**(1\/13))**32 assuming f is positive.\nAnswer: f**(-14904\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -99395 or -1340?\nAnswer: -99395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -270125?\nAnswer: 81037.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -130\/133 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1161 - 1413. Is 0.1 greater than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176461, -176459, -176451, -176437, -176417?\nAnswer: -176391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 38, 1, -0.4, 3462\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32663 is divided by 139?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {a: 3, l: 2}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.101 + -45.201. Let g = t + 47. What is the biggest value in g, -0.5, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, -276800405.\nAnswer: -276800405, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-1\/2))**48)**(-1\/4)\/((f**(-2\/9)\/(((f\/(f\/(f\/(f\/(f\/(f**(-1\/3)\/f))))))\/f)\/f))\/(f**(-3)\/f**5)) assuming f is positive.\nAnswer: f**(-13\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4499 and 15879425.\nAnswer: 174673675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7984 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7\/(-4))\/((-6)\/24). Let v = r + -2. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4432076?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 441.9 times 956?\nAnswer: 422456.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5*5)\/(7\/(-13686400)*-8). Round y to the nearest 1000000.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 1. Let g(b) = 3*b + 59. Let n(s) = g(s) - 6*m(s). What is the remainder when n(0) is divided by 28?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 16*c**2 + 14*c - 17. Let o be y(-15). Let x be (o\/(-24))\/(105\/(-40)). Which is smaller: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3508736772.\nAnswer: 2, 3, 2129, 137339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 1\/4 (c) 0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c. Find the common denominator of 15\/8 and ((-31)\/(1 - c))\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 423 + -394.8. Let r = -27.2 + f. Which is the nearest to r? (a) -2\/19 (b) -2 (c) 2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 505 minutes after 9:24 PM?\nAnswer: 5:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -z - 5. Let o(v) = v - 6. Let h(d) = -3*d + 12. Let j(n) = -3*h(n) - 7*o(n). Let c(a) = -5*j(a) - 6*u(a). Let q(i) = 3*i**2. Calculate q(c(l)).\nAnswer: 48*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -2*t + 5. Let f be (-2)\/(-2)*(-6)\/t. Calculate the remainder when 29 is divided by (-29)\/(-3) - f\/18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - 1 + 1)*(-1 + 1 - 2) - 3 + 3 - 1)*(-3 + 1 + 1)*(-6*s + s + 4*s) as j*s + n and give j.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3683294556.\nAnswer: 2, 3, 1621, 189353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 625 - 623.964. Let s = n - -0.094. What is s rounded to zero dps?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 18 divided by -605\nAnswer: -18\/605","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3 + 1114134*y**2 + 55701700*y.\nAnswer: 2*y*(y + 50)*(y + 557017)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 6 - 2)*(2*n**2 - 2*n**2 + 3*n**2) - 64*n**2 - 3899 + 3899.\nAnswer: -82*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -2*g - 14. Determine a(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -675 + 675 - 4*s.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*f**2 + 3*f**2 - f**2)*(5*f + 0 + 0) - 4*f**3 - 9*f**3 - f**3 to t + d*f**3 + m*f**2 + c*f and give d.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/11715 and 125\/18744?\nAnswer: 93720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-3)\/9 + (-32)\/(-6). Let x(g) = g**3 - 5*g**2 + 4*g. Let u be x(4). Let f = p + u. Calculate the remainder when 9 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 g when four letters picked without replacement from gggggmggmmgmm.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 812.3178us in seconds?\nAnswer: 0.0008123178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -19 + 16. Let d be (-50)\/q*33\/22. Calculate the greatest common factor of d and 250.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -4*o**3 - 40*o**2 - 10*o - 104. Let y be j(-10). Let q(i) = 2*i**3 + 7*i**2 + 3. Give q(y).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000017807 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3354)\/(128\/96 + (-2 - (-5)\/(-6))) is divided by 112.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-23)\/5 - (-33)\/55. Let x(n) = -2*n**3 - 6*n**2 - 9*n. Let m be x(c). Let t be (1 - 0)\/(-2 + 140\/m). What is the highest common factor of t and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 20 - 19.66. Let l = 1.09 - 1.42935. Let g = b + l. Round g to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8735 to the power of 1\/2, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14803*j*s + 18924*j wrt s.\nAnswer: -14803*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/18? (a) -5 (b) 12 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/(-20))\/19)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1932 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 26 - 50. Let r = -14 - c. Suppose -10 - r = -k. Does 7 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 7, f: 4}. Give prob of picking 4 s.\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-71))\/(-2)*34815\/6963*1\/(-5)?\nAnswer: 1\/71","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.7 - 4.7. Let w be 3 + -6 + 90\/24. Let g = 139\/8 + -17. Which is the closest to -1\/3? (a) g (b) w (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5942484730?\nAnswer: 2, 5, 7, 13, 6530203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(-1))**(-1\/40)\/((r\/(r\/(r\/r**(-3)))*r)\/(r\/r**(2\/11))) assuming r is positive.\nAnswer: r**(-46\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 + 2*d**2 - d**2)*((2 + 1 - 1)*(2*d - 2 + 2) - 2*d + d + 3*d + 4 - d - 4)*(-13*d**2 + 21 - 21).\nAnswer: -130*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f + 360 = 11*f. Solve 8*u + f = 60 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1927444933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from vnvnnnvnnnvnnvvnvnn?\nAnswer: 14\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-35)\/(-2) + 9\/(-6). Let d = 12 - g. Sort 0, 5, d in descending order.\nAnswer: 5, 0, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1584) + 1*sqrt(1584) + -5) - (3 + sqrt(11) + sqrt(22)\/sqrt(2) + -5 + 0))**2.\nAnswer: -4312*sqrt(11) + 106128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 63128581 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 18*j - 138 = 0. Suppose 8*w + 96 = 12*w. Calculate the remainder when j is divided by w.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m + 47. What is i(-21)?\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 168 and 20?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7251577.\nAnswer: 7251577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 16907556?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1, -1\/21, 2\/13, 1690\/7, -0.3?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -9\/106, -4\/7, -5, -23, -3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 286 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*l**3 + 77*l**3 - 136*l**3.\nAnswer: 11*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ofsfxcscg. What is prob of sequence scfs?\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.04 (b) -0.3 (c) -1\/3 (d) 2\/7 (e) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -63470070 rounded to the nearest 1000000?\nAnswer: -63000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 1307000 rounded to the nearest ten thousand?\nAnswer: 1310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/6*(-2)\/(-35))\/(16\/6080*38).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2075 - -2065. What is the closest to 0 in -13, 2\/5, y?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 20170759?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) -4 (b) -2 (c) -0.2 (d) 0.398\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 23603798719\/119287350 - 1787326\/8775. Let r = o + 24\/971. Find the common denominator of r and -7\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k - 6. Let d be x(12). Suppose -9*c + d*c + 27 = 0. Find the second derivative of -5 - 8*j**2 + c - 4 + 5*j wrt j.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 16*g**3 + 17*g + 3.\nAnswer: 96*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (888\/(-90) - -10) + 418\/15. What is the highest common divisor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -121783 (base 11) in base 13?\nAnswer: -69887","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -51.2 - -47. Let p = s - -1.2. Let f = -0.04 - 0.16. Sort -2, p, f.\nAnswer: p, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3 - -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g - 1. Let d be a(0). Sort d, -1\/4, 1, 0.3 in increasing order.\nAnswer: d, -1\/4, 0.3, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10912.053 to the nearest one thousand.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-9)\/p)**7 assuming p is positive.\nAnswer: p**(-70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 157\/42 and -85\/538?\nAnswer: 11298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -84*i + 698. What is h(10)?\nAnswer: -142","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1121344 - -14?\nAnswer: 1121358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 3*w**2 + w + 9. Let y be d(-3). Let h = 136 - 132. Let f be 1 + (h\/(-8))\/(1\/(-6)). Solve -2*b + y = 2*u, -f*b = -u - 11 - 1 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 857\/458 greater than or equal to 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 14024694?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 13.4 and -52?\nAnswer: 65.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -417*b + w - 81 = -421*b, b = -2*w + 50. Let i be (-33)\/(-2) + 2\/4. Is b smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 53.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 0 = -v + 2, 4 = 5*r + 3*v. Suppose 2*f = l - 3, 0 = -r*l + 6*f - 8*f + 18. Sort -4, l, 2\/7.\nAnswer: -4, 2\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -61*n**3 + 20*n**3 + 0*n**2 + 2*n**2 - 1. Let x be 2\/6 - (-7)\/(-3). Is h(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*t - 24*t = 23*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17634145 and 15801.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 766*k - 17590. Calculate u(23).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3445 and 1885.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000328 rounded to 5 dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4266\/17 + -251. Which is the third biggest value? (a) v (b) 0 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yoyy when four letters picked without replacement from {o: 3, d: 2, y: 13}?\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the first derivative of o**3\/3 + 23. Let y(j) = j**2 - 5*j. Let p(r) = 2*r**2 - 6*r. Let f(d) = -5*p(d) + 6*y(d). Give q(f(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 83855b?\nAnswer: -838559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -18940 divided by -1894\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41527.4155477 and 0.3?\nAnswer: 41527.1155477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + s + 87 = -824, -23*s = -4*i + 1388. Calculate the greatest common factor of i and 430.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 182 and 105014.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 2*o**2. Let j(b) be the third derivative of -1\/60*b**5 + 0*b**4 + 0*b**3 + 0*b - 6*b**2 + 0. What is j(f(l))?\nAnswer: -4*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k**3\/13 + 42*k**2\/13 - 240*k\/13 + 200\/13 = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:09 PM and 2:19 AM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h + 8*h + 10*h in the form v + r*h and give r.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j. Let b be r(-4). Suppose b = 4*l - 8. Let c(s) = 7668*s**2 - 4*s. Let x be c(l). What is x rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 10058, 20117, 30174, 40229, 50282?\n\"Answer: -v**2 + 10062*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -286.396 + -0.604. Let l = 282 + a. Let q = -105\/4 - -27. What is the fourth biggest value in q, l, 0.1, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 117183 divided by 33.\nAnswer: 3551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 17 = -4*q. Let i be (-2 + 5 - 2)*0. Which is the nearest to q? (a) 0.3 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 2*l**4 + 1112*l**3 + 3316*l**2 - 1112*l - 3318 = 0.\nAnswer: -553, -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 - 103. Let r = -53.8 - k. Which is the closest to 1? (a) -1\/3 (b) 0 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -z - 4*s, 41*z - 39*z = -2*s - 18 for z.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*d - 22*d - 10*d**2 - 23*d + 25*d**2 + 3*d**2 as i*d**2 + c*d + s and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**1*(q\/(q\/q**6))\/q)**33*q\/(q\/q**(3\/10))*q**(1\/5)*q*(q*q**(-1\/4))**(-7\/6) assuming q is positive.\nAnswer: q**(1325\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -66 - -66.4. Which is the nearest to 0.1? (a) 0 (b) 0.8 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v + 0 + 0)*(-v + 3 - 3) + v**2 - 2*v**2 + 2*v**2 + (v + 5*v - 3*v)*(31234 + 513*v - 31234) - v**2 - v**2 - v**2.\nAnswer: 1535*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 49*v + 935. Let k be h(-19). Let z = -6 - -1. Which is the second smallest value? (a) -0.025 (b) z (c) -3 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 270 divided by -6.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -253*w**2 + 128*w**2 + 120*w**2.\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 996739 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 7854000 rounded to the nearest 100000?\nAnswer: 7900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -18.6*-0.4\nAnswer: 7.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.5 + 0.5. Let f be (-12)\/9 + 2 + (-73)\/(-3). Let w be (-20)\/(-14)*10\/f. What is the third smallest value in w, j, -0.2?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 37889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 48, 42, 34, 24?\n\"Answer: -x**2 - 3*x + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -137.8702447 - 245?\nAnswer: -382.8702447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -101351 (base 6) in base 12?\nAnswer: -4857","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985812 is divided by 316.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r - 17 = -a, 5*r - 29 = 8*a + 9*a - 24*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -13 + (16 - 9).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - (sqrt(320) + 2 + 4) - sqrt(60)\/(sqrt(96)\/sqrt(392))) + -3.\nAnswer: -7*sqrt(5) - 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 148 - 63?\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -2*j**3 + j**2 + 2*j + 1. Let h be u(-1). Put 3, -2, 4, h in increasing order.\nAnswer: -2, h, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 342256 + 2?\nAnswer: 342260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the first derivative of 3131*p**3\/3 + 1211*p - 2694. What is the first derivative of f(c) wrt c?\nAnswer: 6262*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/8 of a litre in millilitres?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 13\/(-5) + 2\/(-5) + 0. Let f(u) = 16*u**2 + 5*u - 2. Let l(s) = 15*s**2 + 6*s - 2. Let n(i) = m*l(i) + 4*f(i). Is 5 a factor of n(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 634361 is divided by 211425?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 1, -4\/9 in decreasing order.\nAnswer: 1, 2\/13, -4\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, -26, -104, -246, -470?\nAnswer: -794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28*d - 730 + 93*d + 730 to the form c + p*d and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57068.16 micrometers to kilometers.\nAnswer: 0.00005706816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, 10, 0, -5 in decreasing order.\nAnswer: 10, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.8 + 2.5. Which is the fourth biggest value? (a) 4 (b) -4 (c) k (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(45) + 1 - (4 + -1 + sqrt(5) + sqrt(5)*-1*-5 + sqrt(5))**2.\nAnswer: -253 - 39*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and 33\/92 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 7404 = -5*v, 3*v = -1540*f + 1539*f - 4452. Is -1484 smaller than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**2 + 54*c + 50*c - 149*c + 45*c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5124968.\nAnswer: 2, 640621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 698, 3796, 10698, 22814, 41554, 68328?\n\"Answer: 235*k**3 + 492*k**2 - 23*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/((-1008)\/749)*(-24)\/(-6).\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 14178478 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3802 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248*h + 3262 - 83*h - 3242 + 294*h.\nAnswer: 459*h + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 - 63132840*t - 199287774323280 = 0. What is t?\nAnswer: -6313284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 - 22*i - 31. Suppose 2*r + 35 = 2*d - 3*r, 5*r = -3*d + 90. What is the lowest common multiple of 32 and m(d)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9*((-52)\/(-84) + 2\/(-7)). Suppose -5*j + 3*y = -f*j - 6, -5*j - 2*y + 34 = 0. What is the lowest common multiple of 12 and j?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, -4, -38, -5 in descending order.\nAnswer: 7, 0.1, -4, -5, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 1 + (-2)\/1. Let a = -2 + p. What is the units digit of a\/2 + 9\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xphh when four letters picked without replacement from {h: 5, x: 1, p: 3}?\nAnswer: 5\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hvhh when four letters picked without replacement from hhvh.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 118 - -16. Calculate the least common multiple of v and 1.\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**3\/6 + 5*g**2\/2 + 10*g. What is the units digit of w(-13)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(3)*-3 + 0 - (2 + 2 + sqrt(3))) + (-2*sqrt(75) - (3 + sqrt(6)\/sqrt(2))))*-4.\nAnswer: 26 + 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 18 + -45 + 24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*w**3\/11 + 279118*w**2\/11 + 3908044*w\/11 = 0. What is w?\nAnswer: -14, 0, 139573","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 473 - 462. Suppose -j*h - 5004 = -20*h. What is the hundreds digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.5 + -36. Let q = v + 12.66. Let m = q - 0.16. Sort 2, -3\/7, m in descending order.\nAnswer: 2, -3\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-20)\/(-5) + -2)\/((-35)\/(-10))?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times -0.48\nAnswer: -0.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8*(-17)\/(-51)*(-1 - 9940\/(-16)). Are -1654 and m non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 408 minutes before 5:41 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 11\/2061 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 8\/3*(-42)\/(-168)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 + -1)\/((-19)\/(-152)). Suppose -2 = 3*l - i. Suppose -5 = 2*t - 3*t. Sort t, l, -3 in descending order.\nAnswer: t, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**2 + 3*f + 6. Let g(x) = 13*x + 5 - 11*x - 7*x + x**2 - 4*x. Let k be g(9). Calculate l(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -206 - -343. Suppose -n = -5*q - 22. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 13 - 11. Let o(m) = m**2 - m + 1. Let d(p) = 6*p**2 - 2*p + 2. Let n(v) = d(v) - 3*o(v). What is n(r)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = m**2 - m - 1. Let c = 14 + 2. Suppose c = -2*k - 0*k. Let y(i) = -10*i**2 + 6*i + 10. Calculate k*p(s) - y(s).\nAnswer: 2*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -5*r + 6. Let y(w) = -6*w + 7. Let o(h) = -7*g(h) + 6*y(h). Let t(i) be the first derivative of 0*i**2 - 2\/3*i**3 + 0*i + 1. Calculate o(t(b)).\nAnswer: 2*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 58477 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -4*r. Let k = 37 + -35. Suppose 0 = -k*z - 2*z - 2*g + 1056, 3*z = r*g + 801. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14312 (base 10) in base 16?\nAnswer: 37e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 8.099646 years?\nAnswer: 0.8099646","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6605, 1829 in decreasing order.\nAnswer: 1829, -2, -6605","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11.82 in 3\/4, -3190, 0?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4220 - 2799. What are the prime factors of y?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97845842 to the power of 1\/3, to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2 - 150*f + 149.\nAnswer: (f - 149)*(f - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or 2104\/281?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57*m + 52*m = 4*h - 328325, 0 = -m - 4*h + 65649. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8 in 0, -2\/29, -5, -17?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -804 + 804.5. Let m = -3 + 3.2. What is the nearest to -1 in -3, z, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a + 18. What is the units digit of g(21)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4310.812 and -1817.22?\nAnswer: 6128.032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31568767?\nAnswer: 31568767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 11\/4 of a tonne?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15819452167 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -1*(8\/(-2) + 6 - 2208) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1114928 by -8.\nAnswer: -139366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -794, -1564, -2308, -3026, -3718, -4384, -5024?\n\"Answer: 13*x**2 - 809*x + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y - 13 = 2*i + 25, 14*i + 27 = 17*i + y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**3 - 3*g**2 - 4*g + 1. Let v be x(4). Let l = 1 - v. Which is smaller: l or -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5.29236 + -5.3. What is f rounded to four decimal places?\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22888511 rounded to the nearest one hundred thousand?\nAnswer: 22900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 k when three letters picked without replacement from {u: 4, z: 2, k: 2, v: 2, t: 2, o: 2}.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by -2611\nAnswer: 8\/2611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -38628829*k**4 - 77149227.\nAnswer: -154515316*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -10*x**3 - 7*x**2. Let d(r) = 7*r**3 + 5*r**2. Calculate 7*d(p) + 5*l(p).\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 96070 divided by 5.\nAnswer: 19214","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 16345\/(-1)*(-10)\/10. Suppose -9*h + 2*h = -i. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -14*y**4 - 2*y**2 - 3*y. Let v(k) = 43*k**4 + 6*k**2 + 8*k. Let h(s) = 8*m(s) + 3*v(s). Find the third derivative of h(n) wrt n.\nAnswer: 408*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38378 and 25.2.\nAnswer: 38403.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 548 + -559 - (-2 + -12). Factor -8\/11*i**2 + 0 + 0*i**t + 2\/11*i**4 + 0*i.\nAnswer: 2*i**2*(i - 2)*(i + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3030, 4804, 6578, 8352?\n\"Answer: 1774*w + 1256","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11.72 + -0.22. Let j = -1.2 - 1.3. Let v = t - j. Which is smaller: 0 or v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 200*i - 100*i - 99*i + 3, 3*i + 174 = -26*v - 7*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16562a - -4?\nAnswer: 16562e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 8 = g, 4*y + 16 = g + 32 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20210 - -25054?\nAnswer: 4444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, -3, 2\/581, 1007?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/105850 and 85\/7738.\nAnswer: 5610050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuhhuuuuhhhuu.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4852932 is divided by 1026.\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klkcklkklkkkkl. Give prob of sequence kck.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/56 of a week?\nAnswer: 32400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 5*f + 8. Let q(g) = 12*g + 6. Let t(a) = a - 3. Let h(d) = -q(d) + 3*t(d). Determine 6*h(k) + 11*j(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -11*j + 29*j - 2*j**2 - 14*j. Determine b(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 233*r**3 - r**4 - 32*r**2 + 240*r**3 + 33*r**2 - 20*r in the form m*r**4 + p*r**2 + s + c*r**3 + w*r and give w.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/(8\/(-6)) - 0. Let g = l + 49. Calculate the highest common divisor of g and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**2 - 12*y + 20 = 0.\nAnswer: 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149195513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/f**(-4))\/(f*f**4)*f**(-1\/4)\/f*f*f**8)**(3\/22) assuming f is positive.\nAnswer: f**(105\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4364a3 (base 11) in base 16?\nAnswer: -aa186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 11:55 PM?\nAnswer: 398","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -141.2, -5, 0.2, 2\/9 in decreasing order.\nAnswer: 2\/9, 0.2, -2\/5, -5, -141.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*l - 3*l + 21*l**3)*(0 - 1 + 0)*(10*l + 8*l - 2*l) to the form o*l**2 + v + q*l**4 + t*l**3 + p*l and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -16 + 14 - x + 6*x - 3*x**2 + 2*x**4 - 3*x + 5*x**2 in the form v*x + b*x**4 + u + f*x**3 + r*x**2 and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = 16*z - 8*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 683, 682, 681, 680, 679?\nAnswer: 678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 3, 0.5, -11?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 4*m**3 - 4*m**2 + 4*m - 3. Suppose -47 = -2*v + q + 2*q, 5*v = 2*q + 134. Calculate the remainder when f(3) is divided by v.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 759924.137 to the nearest 1000.\nAnswer: 760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(56)\/sqrt(7) - -5*sqrt(10)\/sqrt(5))**2 + -4 + (sqrt(2) + sqrt(22)\/(-2*sqrt(11)) - sqrt(2)).\nAnswer: -sqrt(2)\/2 + 94","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8 - -2. Which is the second smallest value? (a) 0 (b) 0.4 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 829 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 AM and 9:28 PM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 34711065 divided by -3\nAnswer: -11570355","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 + k + 1. Let q be r(-2). Suppose w + 4*l - 13 = -q, -34 = 5*w - l. Is -5 > w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (-4 + 1 + -6 + 5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/5 (b) 0 (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1123 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 759481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91502, 91125, 89994, 87731, 83958?\nAnswer: 78297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -341 - 10?\nAnswer: -401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 2*u - u)*(0 - u + 0)*(-2*u - 9 + 10 + 15*u).\nAnswer: -13*u**3 - u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1*((-285)\/(-15) + 4\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26145*c**2 + 26141*c**2 + 21 + 5*c - 52296*c**2 to the form a*c + q + z*c**2 and give q.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 58.9 from -0.7.\nAnswer: -59.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8 + -6 - 0\/2. Suppose a*h - 9 = -c + h, c + 5*h - 9 = 0. Calculate the highest common divisor of 1 and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 16*g + 3*g - g. Let s(m) = 2 + 10*m - 8*m - 2. Calculate r(s(z)).\nAnswer: 36*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-7\/5)\/r)\/((r*r*r\/((r\/(r*r**(3\/5)))\/r))\/r))**42*(r\/r**0)**(-35\/4)\/(r\/r**(-2\/7)*r)**48 assuming r is positive.\nAnswer: r**(-10373\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3 = -4*v + 6*v, 2 = 2*v. Suppose -5*j = -4*o + 29, -15 = -2*o + 3*j - 0*j. Let w = o + -6. Put b, 2\/11, w in decreasing order.\nAnswer: 2\/11, w, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -561162 + 5*s**4 + 561161 + 22*s**2 + 7*s**2 to the form c*s + l*s**4 + o*s**3 + v + p*s**2 and give l.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 2173?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x. Let p be d(0). Differentiate -q + 3 - 4 + p wrt q.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 305 - 114. Suppose -3*k + 188 = i. Sort k, -4, -5, 3.\nAnswer: -5, -4, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -t - 13, 3*a + 3*t = a + 12. Suppose 0 = -2*w - 4, -w + 5 + 2 = 3*z. Calculate the remainder when a is divided by z.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7578457*b - 2 + 2 + 7578418*b.\nAnswer: -39*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 119662560 a multiple of 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeeeeeeeee. What is prob of picking 2 e?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/15 (b) -1.721 (c) -213\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - 1)*(-75)\/10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z - 3*z + 3*z)*(-z + 3*z + 0*z)*(1 + 144*z + 13 - 15).\nAnswer: 1152*z**3 - 8*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ed - 2124?\nAnswer: -2037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 10, d: 2}. What is prob of sequence ddf?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 5*((-96)\/(-20) + -4). Let d(t) = t + 22. Let j be d(10). Calculate the greatest common factor of u and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(6)*-2*-1) - (sqrt(72) + -1 + 1 + sqrt(72))**2 - (1 + ((sqrt(128) - (1*sqrt(128) + 3)) + 5)**2).\nAnswer: -293 + sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) 0 (c) 5\/6 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -117 - -116.5. Put h, 127.3, 3 in descending order.\nAnswer: 127.3, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 1. Let q(w) = 80*w**2 - w + 4. Let a(m) = -4*j(m) + q(m). Is a(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0.2 (b) 1 (c) -4 (d) -3 (e) -10 (f) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 + 5*q - 3. Let p be z(5). Let k = -3.06 - -0.06. Let c = -2 + k. Sort p, 4, c in descending order.\nAnswer: 4, p, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11687677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 23764.18 * -61.\nAnswer: -1449614.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 25 + -14 + -13 - (9 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -7797 or -8330?\nAnswer: -7797","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**2 + 3*k. Let z be f(6). Sort -1, z, 5.\nAnswer: z, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {d: 3}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24120 and 441195.\nAnswer: 10588680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let -21*x**4\/4 + 3005*x**3\/4 - 6229*x**2\/4 + 3527*x\/4 - 141\/2 = 0. What is x?\nAnswer: 2\/21, 1, 141","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1286071, -5, -1.\nAnswer: -5, -1, 1286071","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let -55*a**5\/3 - 2870*a**4\/3 - 8185*a**3 + 351920*a**2\/3 + 442300*a\/3 + 22880 = 0. Calculate a.\nAnswer: -33, -26, -1, -2\/11, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jmrg when four letters picked without replacement from yrwjmgg?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 12*j**2 - 10 + 2)*(291*j - 114*j - 87*j).\nAnswer: -1080*j**3 - 180*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -900*t = -931*t + 434 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79 is divided by 3*(-41)\/(-3) - -7.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 119, 152, 175, 182, 167?\n\"Answer: -o**3 + o**2 + 37*o + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200 (base 10) to base 12.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -785 + 1201. Suppose -3*b + 312 = 5*x, 6*b = 2*b - x + r. Let t = b + -8. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d = -15*d + 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the second derivative of -113*n + 1\/12*n**4 + 1\/2*n**2 + 0 - 1\/2*n**3. Calculate c(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 400 - 284. What is the units digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -116, -471, -1062, -1889?\n\"Answer: -118*p**2 - p + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 340146855 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4529 and 80228.\nAnswer: 647","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.3, 5, 3, 10 in increasing order.\nAnswer: 0.3, 0.5, 3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002228029 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**2 - a + 1. Let z(n) = 16*n**2 - 3*n + 4. What is -3*o(f) + z(f)?\nAnswer: 13*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 598930861 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 57*c**2 + 262*c - 92. Determine f(52).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2218 and 0.38.\nAnswer: -842.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -12 divided by 116?\nAnswer: -3\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 19\/4 of a century?\nAnswer: 475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 (base 13) in base 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**3 - 8*y**2 + 7*y + 3. Let j(k) = 65*k**3 + 65*k**2 - 55*k - 25. Let a = 39 + -36. Let m(t) = a*j(t) + 25*w(t). Solve m(g) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 40\/277 != 3\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 2*b**2 + 10*b - 7. What is n(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64118726.\nAnswer: 2, 7, 31, 147739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = -q + 9 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 5:06 PM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-552)\/(-690))\/(2\/(-10)*(-9)\/3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2 - 1) + (-404)\/707. Put -1\/5, t, 103\/3, -1\/7 in decreasing order.\nAnswer: 103\/3, t, -1\/7, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-16)*-6*((-354)\/36)\/(1\/4).\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sysssyaassssussssyya. Give prob of picking 4 s.\nAnswer: 33\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2*sqrt(108))\/(sqrt(9) - sqrt(900)*-1) + -2*(sqrt(363) - (sqrt(363)*2 + -1) - sqrt(363) - (sqrt(363) + 1)*-4)**2.\nAnswer: -2954 - 4820*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q**2 + 37*q**2 - 3 - 12*q**2 - 7*q**2 to the form d + u*q**2 + y*q and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 r when four letters picked without replacement from {m: 3, r: 2, j: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 43223 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**2 + 66*o + 65. Let f be m(34). Sort 0.3, -5, f, 25.\nAnswer: -5, f, 0.3, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -9*h**3 - 155*h**2 + 10*h + 1218. Give c(-17).\nAnswer: 470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(304) + (sqrt(133) - sqrt(133)*-2 - sqrt(133))\/sqrt(7) + -1 + sqrt(304)*-2 + sqrt(304)*-1 + 1)**2.\nAnswer: 48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 685.66 less than 0.2?\nAnswer: -685.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -14015\/4 or -3505?\nAnswer: -3505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -69254.2688 to the nearest 10000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 7 - (1141 - 1179).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 352708 is divided by 121?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -24*z + z**2 + 20843*z**3 - 20839*z**3 + 37*z + 2*z**4 + 3 to v*z**4 + a*z**3 + n*z + s + w*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -0.04 (b) -3 (c) -1 (d) -1554\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2\/(-5))\/(10\/(-100)). Sort 13, j, -1 in decreasing order.\nAnswer: 13, j, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epwh when four letters picked without replacement from {w: 1, c: 4, e: 2, d: 4, h: 3, p: 1}.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 174 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: Suppose 9*b + 5*s - 45 = 14*b, -73 = 5*b + 2*s. Let p be 0 - (1*-1 + 14). Let q = b - p. Is q greater than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/(m\/(m\/(m**(8\/5)\/m)))*m*m)\/m**17 assuming m is positive.\nAnswer: m**(-73\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1261 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n + k = 8, 7*k = 4*n + 2*k + 2. What is the highest common divisor of 31 and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/5)\/(14\/35). Let p = -39 - -41. Suppose 2*r + p = -6. Put -5, l, r in descending order.\nAnswer: l, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnzloznxoxnxznnxos. What is prob of picking 1 o and 1 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45.2 - -62.2. Which is smaller: -10 or w?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 + (3 + 21)\/6. List the prime factors of 61 - 57 - (f - 1 - 998).\nAnswer: 2, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4241 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -c**2 - 16*c - 88. Calculate i(-10).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -3*l**5 + 39*l**4 - 129*l**3 + 45*l**2 + 216*l = 0.\nAnswer: -1, 0, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 52 and 516.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(6\/11)\/v*v*(((v*v\/(v**(-3\/10)*v))\/v)\/v)\/v*v*v**(-6)\/v*(v*v**19)\/v assuming v is positive.\nAnswer: v**(1303\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -4*s**2 + 4*s + 1. Let n(w) = 4*w**2 - 5*w - 1. Let z(o) = 4*m(o) + 3*n(o). Let x(j) = j**2. Determine -10*x(y) - 2*z(y).\nAnswer: -2*y**2 - 2*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 816954883.\nAnswer: 61, 269, 49787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 12 = c - 40, 3*c - 2*l - 148 = 0. What is the units digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 993, 2011, 3035, 4071, 5125?\nAnswer: 6203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*a + 2216000 = 19*a. Round a to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 656 - 2593. Let z = 3273 + i. Suppose 5*v + 3289 = 2*b, -2*v - 311 = -b + z. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -606*q + 604*q + 92 = -8*k, 0 = 11*k - 2*q + 104 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4 - 3*r - 1 - 5. Let z be j(-3). Suppose 3*w = z*w - 112. Is 13 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*a + 138 = -2*v, -2*v + a - 743 + 731 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (62 - (97 - 36) - (0 - 14)) + -6?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -11*s**3 + 2*s**2 - s - 1. Suppose -2*t - 3*k = -4*t, 0 = 3*t + 5*k - 19. Suppose 2*z - 5*z + t = 3*a, 3 = -3*z - a. Is g(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 26 - 359. Let q = b + -62. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c + 1 - 6. Suppose -2*i - 171 - 144 = -c*r, 4*i - 252 = -4*r. Calculate the greatest common factor of r and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -6. Suppose z - 72 = 3*a, -s*z - a + 192 = -2*a. Suppose -z = -2*d - d. What is the greatest common factor of 3 and d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iq when two letters picked without replacement from jnniqqiqiqj?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3735?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (33\/(-12))\/(3\/(-12)). Let n = 12323 + -135441\/11. Is n bigger than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 3157426762.3608 from -0.1.\nAnswer: -3157426762.4608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as -111\/13597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 54452\/11 or 4949?\nAnswer: 54452\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -112*n - 19*n - 102*n - 411*n.\nAnswer: -644*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 60783 to the nearest integer?\nAnswer: 247","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -170 + -6b?\nAnswer: -21b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 33987 (b) 2\/9 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-12)*i\/(i*i**(3\/4))*i*(i*((i**(1\/3)\/i)\/i)\/i)**(-41))**(5\/9) assuming i is positive.\nAnswer: i**(3395\/108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 1:50 PM?\nAnswer: 11:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*a**2 - 6*a**2 + 2*a**3 - 2*a**5 + 0*a**5 + (-2*a**2 + 2*a**2 - 3*a**2)*(142*a**3 + 104*a**3 + 73*a**3).\nAnswer: -959*a**5 + 2*a**3 + 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 + 0*w**2 + 0*w**2)*(501*w**3 + 554*w**3 - 289*w**3).\nAnswer: 766*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/9*i + 16\/9 - 2\/9*i**2.\nAnswer: -2*(i - 4)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 32, -2.1, 2\/119?\nAnswer: 2\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -153 + 271. Let x = s + -116. Which is the smallest value? (a) x (b) -2 (c) -0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 150.1451 millennia?\nAnswer: 1501.451","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -5*y**8\/28 + y**4\/2 - 9*y. What is the third derivative of z(l) wrt l?\nAnswer: -1200*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -129 + -689125?\nAnswer: -689254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10912\/496*(3\/2)\/(-3)*-1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1 (b) 8\/7 (c) 7\/3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -4\/21, -1\/9, -2 in descending order.\nAnswer: 0.3, -1\/9, -4\/21, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 983, 711, 20, -4.\nAnswer: -4, 20, 711, 983","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24\/294*14\/4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 51*g**2 + 107*g + 6. Let p be u(-2). Let n be 4\/10 - (-21)\/(-90). What is the closest to -4 in p, n, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 >= -25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -30129, -60292, -90457, -120624, -150793?\n\"Answer: -c**2 - 30160*c + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -141 + 158. What is the highest common divisor of w and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.075278461 + 0.35.\nAnswer: 0.274721539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2742 + -2770. Let i = -0.04 + 0.04. Which is the biggest value? (a) -0.4 (b) p (c) i (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1386506 and 2926?\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 263.6 less than -113.647?\nAnswer: -377.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2059925 and 77\/6705?\nAnswer: 18539325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000101 - -10010?\nAnswer: -110110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**2 + c + 7. Let b be z(-3). Sort b, -3, 0.\nAnswer: b, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-226*j + 1169*j - 505*j)*(12*j + 24 - 24).\nAnswer: 5256*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 0 + 1\/25*d**6 - 1\/5*d**2 + 1\/25*d**5 - d - 1\/5*d**3 + 1\/105*d**7 - 1\/15*d**4. Factor j(k).\nAnswer: 2*(k - 1)*(k + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(2 + 1 + (sqrt(468) + -1*sqrt(468))*1 + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 5. Suppose 0 = -5*s - 2*j + 9, 0 = -s + 3*j - f - 3. Is 80\/4 - (2 - s) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 203 - 122. Suppose 2*p = -14 + 28. Suppose -t = -p*x - 18. Calculate the remainder when 42 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that 6*x**3\/11 - 78340*x**2\/11 + 130554*x\/11 - 52220\/11 = 0.\nAnswer: 2\/3, 1, 13055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4921?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -77\/2*f**2 + 13689\/2 + 1\/6*f**3 + 4329\/2*f.\nAnswer: (f - 117)**2*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - -6 - (2 + (11 - 1))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6859*n**3 + 7*n**2 + 34*n wrt n?\nAnswer: -41154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 204\/(-34)*3\/(-99)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((c*c**(-21)*c)\/c)\/c*c*c\/(c\/c**(-2\/43)))\/(c\/(c*c**(1\/7)*c))**(-25))**(-1\/7) assuming c is positive.\nAnswer: c**(14634\/2107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 9*a. Let t(g) = 672*g. Let h(r) = -2*r + 10*r - 343*r. Let d(x) = -7*h(x) - 4*t(x). What is -77*c(y) - 2*d(y)?\nAnswer: -7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 + 2 + 8*y**2 - 10*y**2)*(1 - 1 + 12*y) as a*y**2 + r + l*y**3 + g*y and give l.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 5*z - 34 - 74, 4*f - 216 = z. Let q = -697\/13 + f. Is -1 smaller than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 42*j - 37*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61 or 743?\nAnswer: -61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve w = 3*l + 12, -3*l - 25*w + 20*w - 30 = 0 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -25 and 534.18.\nAnswer: -13354.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x. Suppose -2*d + 3*d - 8 = 0. Let s(b) = -4 + 4 + 6*b**2 - d*b**2. Calculate s(n(a)).\nAnswer: -8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Suppose f = -3*r - 6 - 3. Let p be 0 - 1*(-1 + -2). Sort 4, r, p.\nAnswer: r, p, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*f - 4*f - 12. Let w(k) = -3*k**2 + 0*k**f + 2 + k + k**3 + 0*k**3. What is w(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = a. Let p(n) = 123*n**2 - 396*n**2 - 418*n**2. Give p(r(w)).\nAnswer: -691*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 373*b**2. Let s(t) = -t. Give s(m(o)).\nAnswer: -373*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes after 3:51 PM?\nAnswer: 8:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.54 - 123.54. Let u = n - -123.00000114. What is u rounded to seven dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**3\/15 - 22*l**2\/15 + 62*l\/15 - 14\/5 = 0 for l.\nAnswer: 1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * 181.\nAnswer: 2172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 445 = 5*l, 4*l + 302 = 3*j + 30. What is the greatest common divisor of 196 and j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -10416 and -1?\nAnswer: 10416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-12))\/((-2)\/190*(1515\/(-90) - -16))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -10 + -26 + 47?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 882155698.\nAnswer: 2, 29, 367, 41443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a micrometer in nanometers?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -103 divided by -1785859\nAnswer: 103\/1785859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 0.985, -2\/11, 154, 0.\nAnswer: -2\/11, 0, 0.5, 0.985, 154","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 8*c**4\/3 - 33*c. Let m(v) = -2*v**2. What is m(z(y))?\nAnswer: -2048*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2976 and 93?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771250546?\nAnswer: 2, 11, 19, 277, 6661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1132349\/5 != 241?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-271)\/5 - 10\/(-50). Let g be (-1)\/(-2)*q\/(-9). Is 2 >= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + 6 + 0 - (17 - 13).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 AM and 9:05 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1.1 (b) -1 (c) 184 (d) -3\/4 (e) -28 (f) -2\/101\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -13*o - 315. Let m(w) = 7*w + 158. Let y(a) = -4*i(a) - 7*m(a). What is the remainder when y(-28) is divided by 27?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (8 - 6 - 4) + 0 + 4. Let t be (p + 0)*(-24 + 26). Let h(y) = -2*y - 3. Give h(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + -1. Let p be 1\/(-2*y\/(-306)). Let r = 47 + -30. What is the highest common factor of r and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(350)*2 + 5*sqrt(350)*1)\/(-2*-6*(sqrt(567) + sqrt(567) + (sqrt(567) - (sqrt(567)*-1 + sqrt(567))))).\nAnswer: -25*sqrt(2)\/324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n - 1. Let y(l) = -16*l + 14. Let x(i) = -22*i + 17. Let c(g) = -3*x(g) + 4*y(g). Calculate -c(w) - 5*m(w).\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -50 - ((16 - 5 - (-1 + (7 - 2))) + -7).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 + 22*m**2 - 412*m - 8958. What is o(-24)?\nAnswer: -222","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c + 32 = -3*d - d, 4*c + 5*c + 24*d = 7*c - 192 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0.63, -6.2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o - 245*b + 250*b - 34, 4*o = -b - 31 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j**3 - 5*j**3 + 2*j**3 + (0*j**3 - 4*j**3 + 2*j**3)*(3 - 2 - 3) + j - j + j**3 - j**3 + 0*j + 0*j)*(0*j**2 + 5*j**2 + 0*j**2).\nAnswer: 10*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/120350 and 23\/16600.\nAnswer: 481400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/13 (b) -2 (c) 1 (d) -0.127 (e) 40\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -305023*b + 1220091. Give r(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12281211 is divided by 690.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2 - 0.3. Let p = k + -1.5. Let f = 2.1 + p. Which is the biggest value? (a) 0.2 (b) f (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 359 is divided by 92.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.1 (b) -43 (c) -3 (d) 51\/14 (e) 1 (f) 3 (g) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -40, -10, 5.\nAnswer: -40, -10, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.15\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*j**5 - 146*j**4 - j**3 + 577*j?\nAnswer: -80*j**3 - 1752*j**2 - 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37445 + q - 37445.\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/5)*(j\/(j*j**(-15)*j))\/j)\/(j**(-42))**(-1\/15) assuming j is positive.\nAnswer: j**(49\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -29. Suppose -h - 5*n = -79, 3*h - n = 104 + 85. What is the remainder when h is divided by x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 24044\/4 - 7\/7. Round s to the nearest one hundred.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*u + 80*u + 260000 = 38*u. Round u to the nearest 100.\nAnswer: -16300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-4 + -3 + -1 + 3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of 1\/6*o**4 - 10*o + 0*o**3 + 0*o**2 + 0. Let z(r) = 5 - 2*r - 3 - 2. Give z(h(i)).\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 55277 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p. Let f(j) = 842*j**2 + 94. Calculate t(f(k)).\nAnswer: 1684*k**2 + 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-3))**(-2\/3)\/(i**(6\/5)*i**(-3\/7)*i*i) assuming i is positive.\nAnswer: i**(-27\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 644990 is divided by 644888.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1346013?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/3*276\/(-8). Suppose 4*k = 2*k - l - 47, 4*l = -k - 41. Let b = w + k. List the prime factors of b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the second derivative of -2*c**7\/21 + 5*c**3\/6 - 20*c. Find the second derivative of n(j) wrt j.\nAnswer: -80*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3666 is divided by 915?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 228535 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (13 - 17) + 1 + 1 + 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46*70\/(-56)*(-1)\/(-40) and -19\/300.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 - -38. What is the second smallest value in -5, d, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 2 - (10 + -10).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4105 - 20088 = -3*o + 2*d, -2 = 2*d. What is the hundreds digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1201295?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that f**2\/2 - 122422*f - 734550 = 0.\nAnswer: -6, 244850","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 753 + -488. Suppose 4*y = 2*t + o + 83, -405 = -5*y - 5*t. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o + 78*h - 74*h - 9 = 0, -2*h = -5*o - 27 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 7*t - 5. Let c be y(2). Suppose z = -2*z + c. Suppose 3*n = z*n + 3*n. Solve n - 4 = m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 6*y - 30. Calculate the greatest common factor of y and 344.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 235 - 231. Let z be ((-5)\/j)\/((-10)\/40). Solve -28 + 3 = -z*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*u - d - 10, 3*u + 6*d = 172 - 67 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -11 - 15 - 25*p - 55*p - 24*p**2 + 30*p**2 + 4*p.\nAnswer: 2*(p - 13)*(3*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - 116 - -51 - 19.\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 4 + -5*(5 + (sqrt(2) + -3)*6*2))**2*-6.\nAnswer: -202614 + 117360*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -0.4, -3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -232, -982, -2268, -4108, -6520, -9522?\n\"Answer: -3*i**3 - 250*i**2 + 21*i","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-9)\/(-135))\/((-97)\/388*(-2)\/5). Suppose -4\/3*d**2 + 2\/3*d**4 + 0 - v*d**3 + 0*d = 0. Calculate d.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*a + 6 + 362*a - 87*a - 95*a - 91*a.\nAnswer: -a + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 27, -9, -67, -147, -249, -373, -519?\n\"Answer: -11*g**2 - 3*g + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 133.597 + 37853\nAnswer: 37986.597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (7 - 3) + (1 - 0). Suppose -48*h + 270 = -18*h. Let j = h - u. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 168485*g**3*l**2 + 5*g**3*l - 2*g**2*l**2 - 15542*g**2 - 2*g*l**2 + 6*l wrt l?\nAnswer: 336970*g**3 - 4*g**2 - 4*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -2\/17, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 658\/5 - 131. Let f be (-2)\/(-6)*0\/6. Let d*j**4 + 0 - 3\/5*j**3 + 0*j**2 + f*j = 0. What is j?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.062001 - 41.061101. Let s = 41 + q. What is s rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 2, -4064, -1\/2, 82?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4691209966\/24917041 - 91010928611269897811\/70714562358. Let g = d - -1287018400. Let k = g - -3\/473. Find the common denominator of k and -49\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -99. Let d = f - -85. Suppose d*j - 1 = -p, -7*p - 3 = -10*p. Solve -2*k = -j*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 716 and 3885732?\nAnswer: 716","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4664 and 1320?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9609031 millennia in decades?\nAnswer: 96.09031","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 133 + 115 = 0. Suppose -5*j - n*j + 5306 = 0. List the prime factors of j.\nAnswer: 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + -25 + -2 + 2 - 41 - 15?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26466 - -3?\nAnswer: -26463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 + 0 + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 7:21 AM?\nAnswer: 3:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1320 and 21952.\nAnswer: 3622080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(701 - 701 - 25*s) + (-2 + 1 + 0)*(-1 + 2*s + 1)*(24 - 8 + 36) as g*s + l and give g.\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-35)\/(-14)*4\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/2 (b) -1\/5 (c) 35\/18 (d) -2 (e) 4\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 4, -21, 358, -1, -5, 1 in increasing order.\nAnswer: -21, -5, -1, 1, 3, 4, 358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 38*d - 1. What is the remainder when w(1) is divided by ((-45)\/9)\/(2\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 585 - 261. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -31875*b**2 + 38267*b.\nAnswer: -63750","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1719 is divided by 158?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -144004626 (base 7) to base 13.\nAnswer: -1c893c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27445*s = 21631*s - 523260 for s.\nAnswer: -90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((9\/3)\/12)\/((-9)\/12).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - (4 + -2 + 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 2761415?\nAnswer: 2761413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -145 at least as big as -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2\/9)*m**0*m*((m**(-1)*m)\/m)**(-4) assuming m is positive.\nAnswer: m**(43\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -109*q = -74*q - 72100. Is 47 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137676169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iz when two letters picked without replacement from ibxqbzig.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 3*f - 463 = -3*g + 4*g - 466, 4*g = 8*g - 3*f + 53 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 7\/2 of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2035*y**3 + 2782*y**3 - 379*y**3.\nAnswer: 4438*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 8\/6 + 14\/21. What is the units digit of 2*((-4)\/8 + r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 24450 by 815.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.3. Let h be (18\/3)\/(4\/6). Let y = h + -7. Which is the second biggest value? (a) y (b) -0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 420336, 1681376, 3783108, 6725532, 10508648?\nAnswer: 15132456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (28 - (34 + -9)) + (-48 - -50) + (-1 - -10).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -64, -67, -70, -73, -76?\n\"Answer: -3*t - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10902 divided by -138?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (202\/3636)\/((-2)\/30).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 312877.\nAnswer: 59, 5303","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3)\/((-12)\/128)*-1. Let a = d - -20. Is 909\/21 + a\/42 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 8*p - 4. Let z be b(7). Suppose -z*v + 7*v = 84. Solve 0 = -3*s + 5*o - 27, 4*o - v - 7 = 4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-5)\/((-3 + 0)\/3). Suppose 0 = -3*b + 4*b - n. Let j be -1 + b + -3 + 0. Solve 3*g = -2 - j for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10206897 divided by 3?\nAnswer: -3402299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*j**3 + 364075*j**2 - 6622248040*j - 192351502180 = 0. Calculate j.\nAnswer: -29, 36422","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -2*j**3 - 4*j**2 - 15*j + 6. What is the least common multiple of 99 and s(-5)?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1349.67 to the nearest 10.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xf when two letters picked without replacement from ffxf?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4239982 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -41, -123, -261, -449, -681?\n\"Answer: k**3 - 34*k**2 + 13*k - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -2*k - 2*k. Suppose -55 = -2*b - k*b. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -4)*-893*318\/(-4982)\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -797*h - 2673*h + 1129*h.\nAnswer: -2341*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -273*m**3 - m**2 - 359*m**3 + 687*m**3.\nAnswer: 55*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = 2*i - 1140, 0 = 4*j + 5*i - 569 - 571. Does 15 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 11*m**4 + 64*m**3 + 331*m**2 + 494*m. Let y(k) = 155*k**4 + 895*k**3 + 4635*k**2 + 6915*k. Let g(r) = -85*h(r) + 6*y(r). Factor g(j).\nAnswer: -5*j*(j + 4)*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 16, -11, -72, -179, -344, -579?\nAnswer: -896","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 107040\/45 + ((-2)\/3 - 2\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 12 = -5*i, -5*o - 15 = -0*o + 5*i for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (14 - 2)\/(-6) - -3. Which is smaller: -3\/14 or o?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 306483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 564878.4933 rounded to the nearest ten thousand?\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 15*k**3 - 90*k**2 - 380*k - 40. Let m(n) = 2*n**3 - 13*n**2 - 55*n - 6. Let c(g) = -20*m(g) + 3*w(g). What is s in c(s) = 0?\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -41597\/206398 + -1\/13316. What is the common denominator of ((-1)\/(-4))\/(2 - (-1348)\/(-680)) and l?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 424 and 3869.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q + 72. Let z = -676641\/26 - -26021. Calculate the common denominator of 2\/(-3)*(-282)\/q and z.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2438 - -2451. Suppose 0 = 4*b - 3*b - 52. What is the greatest common divisor of b and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 18145, 18086, 18027, 17968, 17909?\n\"Answer: -59*l + 18204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/8)*f*f)\/(f\/f**22) assuming f is positive.\nAnswer: f**(183\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -24\/7466563 and 43\/1444.\nAnswer: 29866252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2189815 is divided by 224.\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 907580.\nAnswer: 1\/226895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -217*v**3 + 21*v**2 - 111*v + 1 + 430*v**3 - 214*v**3 wrt v?\nAnswer: -6*v + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) be the first derivative of -2\/11*h**2 - 1\/110*h**5 + 6 - 31*h + 0*h**4 + 1\/11*h**3. Let p(x) be the first derivative of s(x). Factor p(y).\nAnswer: -2*(y - 1)**2*(y + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h, 1 j, and 1 v when three letters picked without replacement from hvhhvvvvvhhhjhvvvvvv?\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 691892.23 to the nearest 100000.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-26)\/(-4))\/((-2)\/(-4)). Suppose 3*w = 5*j - 19, -6*j + n = -j - w. What is the remainder when ((-1)\/j)\/(3\/(-114)) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19*g - 7*g - 7*g in the form m*g + k and give m.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/12 + 12919*p\/6 - 950530\/3.\nAnswer: -(p - 25690)*(p - 148)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 15 in -14, -0.06, 374.8?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhoom. Give prob of sequence hmh.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from svvjvvsdoddsttto. What is prob of sequence ood?\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-6)\/48*(-424)\/1166. Find i, given that 0 + 0*i - 8\/11*i**2 + j*i**3 = 0.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -8 + 13. Let b(r) = 5*r + r**2 - 5 + 7 + f + 3. Let q be b(-6). Calculate the greatest common factor of q and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -83*o - 57. Let b be t(-3). Suppose 0 = -2*a + 14 + b. Does 22 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from {g: 3, f: 1}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -787.2 + 787.1. Put u, 1\/2, -5, 5, 0.2 in decreasing order.\nAnswer: 5, 1\/2, 0.2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3510707?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*j**2 + j**2 + 5*j**2 + (1 + 4 - 3)*(9*j**2 - 4*j**2 - j**2))*(-4*j + 33*j + 14*j) in the form c*j**2 + f + s*j + y*j**3 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17794103 to the power of 1\/4, to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (38 - 38)\/(11 - 9). Let p(d) = -d**3 + d**2 - 10*d - 86. Determine p(r).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-6)*(-186)\/(-155). Let k(f) = 4367*f - 4367*f - 12*f**l. Let o(w) be the third derivative of w**5\/60 + w**2. Determine o(k(j)).\nAnswer: 144*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 47854?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 0.0246 (c) 9 (d) -1\/2 (e) 0.3 (f) 10 (g) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 - 2*h**2 + 6 - 3 - 15*h**2 + 8*h**2.\nAnswer: -9*h**2 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 62988869*g + 1632 - 62988876*g - 1632.\nAnswer: -7*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iniiiiiniiiinn. What is prob of picking 2 n?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70 - 12 = -2*t. Let w = -2 + t. Does 12 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(2) + sqrt(2) + sqrt(2) + sqrt(8))*2)**2 - ((sqrt(54)\/sqrt(3) - sqrt(2)) + -4).\nAnswer: -2*sqrt(2) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 2094 - 2094 - 38*t - 73*t as d*t + q and give d.\nAnswer: -111","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -28 - 66 - (49 + -133).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in thirty-four fifths of a centimeter?\nAnswer: 68000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*m + 73, -2*m + 79 = 3*m + 3*x. Let u = 1 + m. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (29172 - 14571 + 177*y**2 - 14591)*(7*y - 10 + 10) to the form k*y**2 + p + h*y + d*y**3 and give d.\nAnswer: 1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(6\/(-3))*((-22)\/3)\/(-22)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 143, 134, 117, 92, 59?\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370 divided by 637?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*z**2 + 4 + 23*z**2 + 92*z**2 - 12.\nAnswer: 2*z**2 - 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 4*w - 12 = 0, 0*y + 5*w = -4*y + 6. Let k(x) = x + 3 - 9*x + 2*x - y. Suppose -h - 5*t = -3*t - 9, 2 = 3*h + t. Calculate k(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f + 11 = -2*l, -6*f + 3*f = -l - 1 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + -3. Suppose -10180*a = -10194*a + 70. What is the third biggest value in a, t, -5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 1\/9, 4\/5, -2\/11, 0?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - 3) + (-1 - (1 + -10))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of y**6 - 33*y**5\/5 + 69*y**4\/4 - 23*y**3 + 33*y**2\/2 - 6*y - 3. Factor s(p).\nAnswer: 3*(p - 2)*(p - 1)**3*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 78834 or 80927?\nAnswer: 80927","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 14) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**2 - 7*x + 8. Let w be o(8). What is the greatest common factor of w and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*n + 0 + 0)*(n + 5*n - 14*n**3 - 5*n) in the form x*n**4 + a*n**2 + i + p*n**3 + w*n and give x.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 206*w**3 - 46*w**3 + 70*w**3.\nAnswer: 230*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express -95*u + 95*u - 12 - u**4 - 2*u**2 - 3*u**3 + 0 in the form y + d*u**2 + q*u**4 + b*u + r*u**3 and give r.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 32*x**3 + x**2 - 2*x + 1. Let k be p(1). Suppose a - 68 = k. Let i = -28 + a. Calculate the greatest common divisor of 8 and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*h**2*q**3 - 25082*h**2*q**2 - h*q**3 - 3*h*q**2 - 326216*q**3 wrt q.\nAnswer: -48*h**2 - 6*h - 1957296","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**2 + 18*t + 22. Let i be p(-17). Which is the closest to -9? (a) 1\/5 (b) i (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5834 + -5831. Solve -5*r = 4*n + 17, -r = h*n + r + 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16744 and 3822.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 142097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14\/49*(35\/(-42) + (0 - -2))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39 (base 12) in base 11?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.018 - -0.173. Let z = 0.145 + n. Are -2\/37 and z equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2612 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -51\/7, -1\/4, 7, -0.3, -151 in decreasing order.\nAnswer: 7, -1\/4, -0.3, -51\/7, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20371 - -13626. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the second derivative of -2*u**6\/45 - u**5\/3 + 7*u**4\/3 - 46*u**3\/9 + 16*u**2\/3 + 618*u. Factor f(l).\nAnswer: -4*(l - 1)**3*(l + 8)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3.56 + 5.3. Let x = q - 2.04. What is the smallest value in -1\/4, -5, x?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 - 2. Let y = -34 - -38. Find the second derivative of 3*g - g + g**n + 8*g**y wrt g.\nAnswer: 108*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -523 - -1306?\nAnswer: 453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**3 - 58*a**2 - 415*a + 32. Does 206 divide f(-58)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 134 + -83. Let m = -13 + 18. Suppose m*w + 2*g = 23 + 70, -2*w + 22 = -3*g. What is the greatest common factor of w and l?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9729*u + 35 = -9734*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of i**5\/12 + 37*i**4\/24 + 4*i**3\/3 + 4747*i**2. Determine n(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -35 + 55. Let d be (-10)\/(-30) + v\/3. Let w = 230 - d. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 13516354?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-5))\/((-788)\/9850).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 77 - 145\/2. Let b be 2*64198\/736 + (1 - 0). Let a = -1389\/8 + b. Calculate the common denominator of z and a.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3108*a*b**3*g**2 - a*b*g**2 + 2*b**3*g**2 + 11484*b**2*g**2 wrt a?\nAnswer: 3108*b**3*g**2 - b*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a kilogram in grams?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -132*j + 128*j - 7100. Let p = j - -5270\/3. What is the common denominator of -74\/15 and p?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(-1\/3)\/(b*b\/(b**(2\/3)\/b)*b))\/(b**0\/(b*(b\/(b*b**5\/b*b*b*b))\/b)))**(-18))**(-29) assuming b is positive.\nAnswer: b**(-5568)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37, -80, -123, -166, -209?\nAnswer: -252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272020.\nAnswer: 2, 5, 7, 29, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h + 10*h - 247 = -19*h for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) be the first derivative of 0*q**4 + 0*q**3 - 2\/5*q**5 + 0*q + 4 - 5\/2*q**2. Find the second derivative of n(r) wrt r.\nAnswer: -24*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 49*o**2 + 11*o + 11. Calculate q(-1).\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 83*d + 44. Let r(t) = 42*t + 24. Calculate 5*r(i) - 3*u(i).\nAnswer: -39*i - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -27 + -5867763?\nAnswer: -5867790","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1, -2\/17, -1, -4, 2\/9, -23\/62, 23\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 68 and 8.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -303*h**4 + 184*h**2?\nAnswer: -7272*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3427605 divided by -531\nAnswer: 6455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/t**1)**(-41)\/(t**(-1\/2)\/(t**(-1\/3)*t)) assuming t is positive.\nAnswer: t**(7\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 11439.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 5412 a multiple of 82?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21 + -12. Suppose 0*k + a = k. Let j = 10235 - 10210. Calculate the remainder when j is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51811 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*v + 7*v = -600. What is the remainder when ((-5)\/(-4))\/(6\/v) is divided by (21\/9)\/(1\/3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 76 + -49. Let c = k - 18. Let a = c - 9. Is a less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-6*4*(sqrt(108)*2 - sqrt(108)) + 5)**2 + -2.\nAnswer: -1440*sqrt(3) + 62229","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30483259.\nAnswer: 43, 708913","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29*v + 19 + 32 = -12*v. Let c(x) = -4*x**2 + 2*x + 2. Let f(b) = b**2. Let l = -16 - -17. Give l*c(u) + v*f(u).\nAnswer: -u**2 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6261167*o**4 + 11348628*o.\nAnswer: 75134004*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -59 + 14 + 44 - (1 - -1 - -1). Let l(g) = 1 - g - 4 + 0. Give l(k).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2090875639?\nAnswer: 101, 20701739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -138, -141, -134, -105, -42, 67, 234?\n\"Answer: 2*u**3 - 7*u**2 + 4*u - 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -162668, -162689, -162688, -162653, -162572, -162433?\n\"Answer: 2*r**3 - r**2 - 32*r - 162637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*y**3 - 6*y**2 + 6*y**2 + 4079 + y**3 - 1036.\nAnswer: -2*y**3 + 3043","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (114\/(-24) - 55\/(-22))*(-42)\/(-9)?\nAnswer: -21\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*k - 2, o - 3*k - 113 - 78 = 0. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 893519.\nAnswer: 11, 29, 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 35 = -2*f + 5*x, -3*f + 14 = 4*x. Find the common denominator of -2*6\/(-160)*2 and 712\/(-40)*5\/f.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(18)\/(sqrt(9) - sqrt(441)*-2) + 3*(0 + sqrt(288)).\nAnswer: 541*sqrt(2)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-4) + -2 - -2130003. Let z be 2\/2 + p\/(-3). What is z rounded to the nearest 100000?\nAnswer: -700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.9? (a) -0.004 (b) -3 (c) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 + 76 = 5*x. Suppose -g = -6*g + 185. What is the remainder when g is divided by x?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3637, 3, -0.12, 0.2, -4?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 4250898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*t + 9 - 10 + 1)*(6898 - 6898 + 1048*t).\nAnswer: 50304*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -852 - -848. Suppose -a + 3 = -1. Sort k, 1, 0.3, a.\nAnswer: k, 0.3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25886 and 7052?\nAnswer: 2122652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(104) + sqrt(104))*3 - sqrt(104))\/(-4*sqrt(48)\/sqrt(6)))**2.\nAnswer: 13\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -120203 + 23331002?\nAnswer: 23210133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/x**5*x\/(x\/x**(-7)*x)*x**(-6)*x*x\/(x\/(x*x**6*x)))**4 assuming x is positive.\nAnswer: x**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -7, -15, -3, 41, 129?\nAnswer: 273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4957 + 5011. Calculate the lowest common multiple of 50 and x.\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-149 + 301 - 19*i - 152 - 1615*i)*(i**3 + 2 - 2) in the form o*i**4 + m*i**3 + z + g*i**2 + j*i and give o.\nAnswer: -1634","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 853 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 11 = 5*j. Suppose k = -j*k + 250. Let u = 103 - k. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2606 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*t + 5 = 28*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -1) + 9 + -2 + -10 + 9\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6373\/328 - -463\/24. Is -1 < w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 231813930 is divided by 2759.\nAnswer: 2750","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + 8 = -o. Let s = 1.6 - -0.9. Let r = s + -1.5. Which is the smallest value? (a) r (b) o (c) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) -0.1 (c) -15532 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -r**3 - 14*r**2 - 41*r - 2. Let n be p(-10). Find the second derivative of -4*j + 10*j + 47 + 0*j + j**3 - n*j + 40 wrt j.\nAnswer: 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5795 at most 1589?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-one fifths of a centimeter in millimeters?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 136 and 238.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -4*c - 180, -4*c + 0*c - d = 192. Let q = c - -81. Let a = q + -6. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 + 6*d**2 - 38*d - 183. Let f be a(-4). Let g = -75 - -75. Sort 2, g, -3, f in descending order.\nAnswer: 2, f, g, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-1) + 6511\/2681.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3 + 0. Which is the nearest to 2? (a) 0.2 (b) m (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 + s**2 + 2*s**2 + s**3 - 21.\nAnswer: s**3 - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 - 4*b + 3. Determine u(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/(-60)*((-37130)\/(-282))\/(10\/(-36)).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*1*((2*sqrt(550))\/sqrt(11))\/(1*sqrt(250))*4.\nAnswer: -16*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -185458\/42550227 + 2\/45901. Let o = m - -114061\/9270. Find the common denominator of (-1050)\/(-270) + (-2*1)\/12 and o.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 21*g**3 - 2*g**2 + 1. Let k(i) = -i**3. Let n be k(-1). Let t be s(n). Suppose -4*f + 0 = -2*p + 2, -2*p + t = 2*f. What is the units digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-2)\/(-4)*-2)\/((-15)\/(-150)). Let m(l) = 7 + 2*l**2 - 2*l**2 + 10*l + l**2. Let w be m(b). Is -0.1 greater than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 112 and 4.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 5*j - 20 = 0, -5*q - 4*j = -0*q - 21 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2*sqrt(1700) - sqrt(1700)) + sqrt(1700) + sqrt(1700) - sqrt(1700)) + (sqrt(136) - (sqrt(136) - sqrt(136)*-1))\/sqrt(8) + (-3 + -2*sqrt(17))*1)**2.\nAnswer: -102*sqrt(17) + 4922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 17*a - 15*a + y, -3 = a - 3*y for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 72.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uuuuuquuuuuuu.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*z = -4*w + 11*z, 0 = -3*w + 3*z. Factor 2\/3*s**4 + w*s - 4\/9*s**3 - 2\/9*s**2 + 0.\nAnswer: 2*s**2*(s - 1)*(3*s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z - 1. Let u be l(-3). Calculate the remainder when 8 is divided by u\/14 + (-44)\/(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3\/235 - -44\/235. What is the smallest value in -22, f, -4?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 376.8808 to the nearest integer.\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -144, -0.7, -5, 2\/5, 1, 0.9 in ascending order.\nAnswer: -144, -5, -0.7, 2\/5, 0.9, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 46448612 and 123893.\nAnswer: 510934732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(15)\/sqrt(5) - -1*(sqrt(3) - sqrt(12) - sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -29 - (-27 + (55 - 35)).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 2*n**2 - 96*n - 199. What is q(50)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 + -6. Let z be (-5)\/(-10) - m\/(-2). Suppose 3*i - 54 = 3*b, z - 2 = -b. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of z**5\/20 + 91*z**4\/12 - 20*z**3\/3 - 2031*z**2 - 2*z + 9354. What is the first derivative of h(m) wrt m?\nAnswer: 3*m**2 + 182*m - 40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99 + 209. What is the greatest common divisor of 10 and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 380896 is divided by 83.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1645 = -3*g, -11*x + 12*x + 5*g - 351 = 0. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.01 in -1\/10, -1.41, -3\/821?\nAnswer: -3\/821","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117023?\nAnswer: 117023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + sqrt(17) + -2*(sqrt(17) + 1) + sqrt(17) - (sqrt(204)\/sqrt(48) - (-1 + sqrt(833))))*5)**2.\nAnswer: 71825\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 66 and 627.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3118678752.\nAnswer: 2, 3, 7, 353, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -581*o**2 - 1 + 7 + 574*o**2 + (-3 - 2*o + 3)*(-1 + 1 - 2*o).\nAnswer: -3*o**2 + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 8) to base 5.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1331, -2634, -3917, -5180, -6423, -7646?\n\"Answer: 10*h**2 - 1333*h - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 + 44 + 39)*(-3 + 3 + 4*q).\nAnswer: 564*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.5 (b) -188 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -o**3 + 5*o**2 + 10*o - 8. Let x be f(6). Let j be (((-4)\/3)\/(x\/(-72)))\/2. Solve j*l = -2*l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - 7*h + 13. Let i(c) = c**2 - 2*c + 1. Let d(f) = 6*i(f) - m(f). Factor d(r).\nAnswer: (r + 1)*(2*r - 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oouooooooouoou. Give prob of sequence ooo.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 24, 38, 60, 96, 152, 234, 348?\n\"Answer: s**3 - 2*s**2 + 13*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4, -12, -24, -40?\n\"Answer: -2*f**2 - 2*f","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 36. Let c = r + 40. Solve 0 = -5*x - c - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 165160*0.09312\nAnswer: 15379.6992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -2*j**2 + 12*j - 6. Let v be k(5). Find the second derivative of -4*m**2 + m**v - 10666*m + 10760*m + m**4 + 2 wrt m.\nAnswer: 24*m**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 30, 0, 56.\nAnswer: -4, 0, 30, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7541 is divided by 352.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (43 - -39) + (-4 - 37)\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*d - 0*d - 5*w - 25, -2 = 2*w. Suppose 2*b + 1 = u - 11, 5*u = d*b + 45. Suppose -u*p + 8*p = 268. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.5055218l?\nAnswer: 505.5218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9802718?\nAnswer: 2, 4901359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -10 (b) 3 (c) -5 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2270)\/3632 + 5\/8. Solve -21*o + 12*o + 72 = k for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1171860694 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -603628947, -1207257895, -1810886843, -2414515791?\n\"Answer: -603628948*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 3 + -2 + 8 + -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 286690400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -2*((-45)\/(-96))\/((-6)\/(-8))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-130) + (-10 - (-1408)\/143)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -16942 - -16940. Put 9, 1, -3, 0.4, u in ascending order.\nAnswer: -3, u, 0.4, 1, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 847?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/9))**24\/(m**(-9)\/(m*m**(1\/8))) assuming m is positive.\nAnswer: m**(115\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12*((-7)\/(147\/(-6)))\/(12\/(-28)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*h + 17*h = 42 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90678, -0.3, 1?\nAnswer: 90678","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 8*f**2 + 9*f + 4. Let i be r(-9). Suppose -i + 1 = -h. Solve -h*y = -2*z + 2, z = -3*y + 4*z - 3 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000504630926 to 6 dps.\nAnswer: 0.000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 54 + 13. Does 18 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -24*d**2 - 21*d**2 + 61*d**2 + (-d + d + 3*d)*(0*d + d + 0*d).\nAnswer: 19*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 229071 and 129?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000087249 rounded to 5 dps?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3 = 2*u, 2*u = 2*g - 3 + 5. Which is smaller: u or 5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes before 5:18 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2553 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*3*(-8)\/(-36)*1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -312, -617, -918, -1215?\n\"Answer: 2*l**2 - 311*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let -99*r**2 + 265*r\/2 - 2\/3 = 0. Calculate r.\nAnswer: 1\/198, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*r**2 + 3*r**2 - r**2)*(-4 + 117*r - 136*r + 3)*((5*r - 4*r - 3*r)*(-2 - 3 + 0) - r - r + r) as a*r + k*r**2 + y + x*r**4 + v*r**3 and give v.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 30269.57 decades to millennia.\nAnswer: 302.6957","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 18599589779 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = 3*c - 1291 - 1648, -c + 4*h = -969. Let b = c + 104. List the prime factors of b.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1050, 4081, 9086, 16065, 25018, 35945?\n\"Answer: 987*x**2 + 70*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 2*s**2 + 2)*(147*s - 5*s**2 - 147*s) to the form d + x*s + y*s**3 + w*s**4 + p*s**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -427442? (a) 0.2 (b) 5 (c) -1 (d) -29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (3*(sqrt(1008)*2 - sqrt(1008)) - (2*sqrt(1008) + -1)))*-3)**2.\nAnswer: 226800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 7.351 + -7.327. Sort 0.1, c, -12\/7 in increasing order.\nAnswer: -12\/7, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63637 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u + 1. Let j(q) = -2*q - 6. Let w(k) = -3*h(k) - j(k). Let c be 6\/(-9) + (-22)\/(-6). Let r be w(c). Solve r*v = 4*v + 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 10:36 AM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 15526074833 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*x + 6009666 - 6009666.\nAnswer: 5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17 + 47 - 2)*(4*g + 0*g - 5*g).\nAnswer: -28*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 261, 470, 817, 1302, 1925, 2686, 3585?\nAnswer: 4622","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -48 - -50. Suppose f = -9*r + 10*r. Factor -10\/3*a + 2*a**r + 4\/3.\nAnswer: 2*(a - 1)*(3*a - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -387 + 392. Calculate the least common multiple of (-2)\/(f + 453\/(-90)) and 21.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d - 3*q + 55551 - 55573 = 0, -4*d - 17 = 3*q for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -26*m**2 - 10578*m + 1657. Determine k(-407).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -152*t - 215. What is the thousands digit of n(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 19.3 - -82.7. Let p = -102.2 + x. Put 2, p, 3, 4\/7 in descending order.\nAnswer: 3, 2, 4\/7, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/14 + -3 + 4)*-3. Put -4\/5, 5, 2\/11, v in decreasing order.\nAnswer: 5, 2\/11, v, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 - -50. Suppose 8 = n + 2*c, 35 = 5*n + 5*c - z. Suppose -12*t - 1640000 = -n*t. What is t rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = l + 1. Suppose -l*t + 22 = 4*o, 4*o - 10 = 4*t - 2. Solve 4*s - 3*d + 2*d = 12, 0 = t*s + 4*d - 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/20 of a centimeter in micrometers?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d + 2. Let w(t) = 9. Let b(y) = -2*l(y) - w(y). Determine b(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -324*x**3 - 64*x**2 + 300*x + 40. Let f(q) = -65*q**3 - 13*q**2 + 60*q + 8. Let h(n) = -24*f(n) + 5*z(n). Suppose h(c) = 0. What is c?\nAnswer: -1, -2\/15, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -k - 5 + 3 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppjppjpp. What is prob of picking 2 j and 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5129 and 1561?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**4\/12 + 2*o**3\/3 - 3*o**2\/2 + 2*o. Calculate the remainder when i(4) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by -1926634.\nAnswer: 33\/1926634","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89433596 and 214?\nAnswer: 214","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-108)\/63*42\/153. Is j at least -0.02?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 3*t**2 - 10*t - 23. Let y be g(6). Let n = 80 + -47. Calculate the remainder when ((-80)\/y)\/((-5)\/(50*2)) is divided by n.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 20 and 0.00268?\nAnswer: 0.0536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from nononoboonnobo.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -69*d + 72*d - 816 = 0. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 675 - 650. Suppose b*n + 5*n = 4080. List the prime factors of n.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1040)\/260)\/((8\/3)\/2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -806*q + 36287. Give p(45).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the third derivative of 0*m + 30*m**2 + 65\/6*m**4 - 2\/63*m**7 + 13\/18*m**6 - 10*m**3 - 193\/36*m**5 + 0. Factor x(b).\nAnswer: -5*(b - 6)**2*(2*b - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -22\/53833 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 - 162*b + 20. Let s(d) = -2*d**2 - 297*d + 40. Let r(z) = 11*l(z) - 6*s(z). Let u(w) = 13*w. Give r(u(h)).\nAnswer: 169*h**2 - 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103824 = -h + 6*h - 2*g, 4*g = -2*h + 41544. What is the tens digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1933*i**2 - 13*i + 658*i**2 + 615*i**2 + 18*i + 655*i**2.\nAnswer: -5*i**2 + 5*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.108 * 1.3\nAnswer: -0.1404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*w - w + 66*w = 2223 for w.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -23 (b) 1 (c) -0.4 (d) -0.1 (e) -6 (f) -57\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2323, 2701, 3341, 4237, 5383, 6773, 8401, 10261?\nAnswer: 12347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22647*h + 22393*h - 8128 = 0 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-9)\/(-5))\/3*(-37)\/(777\/(-1540))\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 1718*m + 1501. What is the remainder when s(10) is divided by 36?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-15)\/126)\/(-5) + (22\/154)\/1. Sort 71, i, -0.2 in ascending order.\nAnswer: -0.2, i, 71","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 1132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 0 + (-6 - (-8 - -4))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 349.4954 nanoseconds?\nAnswer: 0.0000003494954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -2*t**3 - 37*t**2 + 4*t - 311. Let d be k(-19). Let w(f) = -f**2 - 25*f. Determine w(d).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 6*x - 65. Suppose 5*y = -3*j + 25, x*y - 67*y - 2 = 0. Let i(v) = v**2 - 10*v - 2. What is i(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 16, n: 4}. What is prob of sequence nng?\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -2 - -2)*28. Suppose -4*t = -2*i - 6, -4*t + 9 + 12 = 3*i. Solve 4*l - i*y = 17, l + 3*y - m = -4*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-688)\/(-8944)*1\/2*-1*6.\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most 558\/101?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -575.33 rounded to the nearest 10?\nAnswer: -580","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(152)\/(sqrt(48)\/sqrt(54)) - (-4*(sqrt(1216) + -1))**2.\nAnswer: -19472 + 259*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**2 - 7*v + 8. Let u be r(-8). Is u at most 4\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of -w**6\/120 - w**5\/10 - w**4\/12 - 3*w**3\/2 + 2*w**2. What is the units digit of n(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 638, 645, 652, 659?\nAnswer: 666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -153*h - 1378. What is x(-9)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j**2. Let a(l) = -4 - 3*l - 18*l - 3 + 8 + 1. Determine a(b(r)).\nAnswer: -63*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -2)\/(((-162)\/36)\/(-343 - -4)). Solve -y + 64 = 27*v for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from usvuvs. Give prob of picking 2 u and 2 s.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 u when two letters picked without replacement from aayqaaguuaaaawuayw.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1271\/57 + 9011\/399. Factor -1\/7*p**3 - h*p**2 + 0*p + 0.\nAnswer: -p**2*(p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 11 = 4*x - 4, 0 = -2*p + 2*x. Suppose -r + 2*d + 1 = -p, 4*d + 12 = -r. Suppose 0 = 3*i - 6, -2*u - 5*i - 4 = -2*i. Sort r, 5, u in ascending order.\nAnswer: u, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, -6, -5 in descending order.\nAnswer: 21, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*9157.\nAnswer: -164826","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*j - 31*j = -6450. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7282?\nAnswer: 2, 11, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 7328393 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 3*a + 4*k - 2*k, -3*k = 3 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 171 - 85. Let o = 165 - a. Suppose -2*c = -c - o. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 3*f - 3. Let m be j(3). Let r be 68\/11 - (-22)\/(-121). Calculate the highest common divisor of m and r.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, b: 2, o: 6, a: 5, z: 3}. What is prob of picking 1 f and 1 z?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + 5 - 9. Suppose -k + 10 = 4*k. Suppose -k*m + 55 = -5*l, -4*m + 3*m = -3*l - 30. Solve -h = u*h - m for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*a - 29, -p = 7*a - 9*a - 7 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6.5423 + 1.9747. Let m = i + -0.857. Round m to 0 dps.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 679 a factor of 363944?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5325 + 5328 - 10653 - 6406*w)*(-w - 2*w + 2*w).\nAnswer: 6406*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*q**6 - 67*q**5 + 3399*q**3 - 44*q**2 + 147*q + 42 wrt q?\nAnswer: -480*q**3 - 4020*q**2 + 20394","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 0.2 (c) -16 (d) -9 (e) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496097 is divided by 2468?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12999 is divided by 55?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mvmmnvffmmmv. What is prob of sequence vn?\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 452049644?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 5*w + 21. Let u be i(-6). Solve u = 5*o - 0*o, -3*v - 2*o = -21 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-37 - -22)*(-2)\/(-6). Let a be (2 + c)*8\/(-6). Solve 0*d + 3*w = d - 5, a*d + 25 = -3*w for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f + 32 = 14*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8289\/38 or 219?\nAnswer: 219","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of 41*a**5\/30 + 52*a**2. Let u(w) = 2*w**2. What is u(b(r))?\nAnswer: 13448*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 3*w + 6 = 0, -16 + 6 = p - 5*w. Let l = p - -4. What is the remainder when 11 is divided by l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -43, -56, -75, -100, -131?\n\"Answer: -3*y**2 + 2*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 515497219?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -234 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, k: 2, j: 3, s: 4, n: 2, x: 4}. What is prob of picking 2 x?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/(-6) + ((-20416)\/(-3))\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 5*k**4\/6 + k**3\/6 - 33*k. Let l(f) = -2*f**2. Give j(l(p)).\nAnswer: 40*p**4 - 2*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 22 + 2. Suppose -l*s + 28 = 4*c, 3*c - 36 = 3*s + 3. Suppose -c*u + 825 = -5*u. Calculate the greatest common divisor of u and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, 6, -4 in increasing order.\nAnswer: -4, 6, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -6*i - 23. Suppose -2*y + 9 = 29. Calculate the remainder when k(y) is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9931073.92 rounded to the nearest 100000?\nAnswer: 9900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 50*w**2*y + 25*w*y + 2 wrt w?\nAnswer: 100*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 188 and 13243378?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes after 9:03 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let d(m) = 71*m - 69*m - 377*m - 159*m - 424*m. Determine j(d(c)).\nAnswer: -917764*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/((-42)\/22840))\/((-38)\/(-57)). Suppose t = 3*i + y, 5366 = 4*i + 4*y - 2250. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 23463.6 days?\nAnswer: 33787584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -204 + 203. Is 1\/142 greater than or equal to w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -13 + 345310\/80 - 3\/8 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -8636*(-2 - (-105)\/56). Which is smaller: m or 1080?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d = -29*d + 124912. Calculate the remainder when d is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -47202, -94423, -141646, -188871, -236098, -283327?\n\"Answer: -a**2 - 47218*a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 801 and 1537623.\nAnswer: 136848447","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8722887.3ns?\nAnswer: 0.00000242302425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13060318 and 562.\nAnswer: 562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 + 36*z**2 - 45*z + 345. Let m be f(35). Sort -250, m, -4, -1 in increasing order.\nAnswer: -250, m, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 297 + -302. Put j, 61, 1 in increasing order.\nAnswer: j, 1, 61","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (96\/1920*1\/(-1))\/((-2)\/(-5)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 8*f - 8. Let s = 16 + -10. Let x be b(s). Solve 2*u + 11 = -2*d + 3, x*d = 3*u - 9 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - -13. Suppose 0 = 2*h + 2*v + 22, -i*h - 19 - 18 = 5*v. Let y = h + 9. Is 2 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(6)\/sqrt(2)*-2 - ((sqrt(9) + sqrt(9) + sqrt(18)\/sqrt(2) + sqrt(9) + sqrt(9))\/sqrt(3) - sqrt(3)*1*2))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 + -6. What is the units digit of 90\/(-36)*(x + -70)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:46 PM and 7:23 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -61 + 61. Solve 0 = 5*n - 20 - z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. Let m = b - -8. Suppose m*s - 5*s = -8. List the prime factors of s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2\/11605 - 11601\/23210. Let v = -4.6 - 1.4. What is the closest to v in a, -1\/6, 1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*o + 2, -b + 5*o + 3 = -1 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -17 - 6c7e8?\nAnswer: -6c7ff","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the third derivative of f**5\/30 - f**2. Let n be 2 + -2 + 1 - -1. Let t(q) = -2 + n*q**2 + 2. Determine t(l(c)).\nAnswer: 8*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 33*((-12)\/(-3) + -3). Let n = j + -14. What are the prime factors of n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 724 is divided by 346?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o + 42*o + 68 + 128 = 0 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2100294695.\nAnswer: 5, 29, 1531, 9461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 663 (base 9) in base 12?\nAnswer: 393","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.61 - -273.29. Let y = m - 263. Let u = -3.9 + y. Which is greater: 1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sx when two letters picked without replacement from {x: 2, s: 1, t: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 64562648 to the power of 1\/2, to the nearest integer?\nAnswer: 8035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567031 is divided by 567021?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -5 - q + 4 + 3. Let y be k(4). Put y, -4, 4 in descending order.\nAnswer: 4, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -793600474?\nAnswer: -793600474","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 197671 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 + 28. Solve -2\/3*b**4 + 2\/3*b + o*b**3 + 0 - 2*b**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53 + -144. Let s = -197.0081 - t. Round s to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2657.798767055 - -0.04.\nAnswer: 2657.838767055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 5*b - 10, -b = -3*r - 3*b - 2. Solve -r*v = -7*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -622610, -1245328, -1868046, -2490764?\nAnswer: -3113482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1076\/59 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 695 - 1505 - 4371 - 5124*t**2 - 3277 + 1093 wrt t.\nAnswer: -10248*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (108*o + 44*o - 18*o)*(-2 - 3 + 4)*(-4 - 5 + 4).\nAnswer: 670*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 61757666.9 and -8.7?\nAnswer: 61757675.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 - 9*y + 256. Let s be z(0). Suppose 3*u - s - 5 = 0. What is the units digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p**10\/p)\/p)**37*(p\/(p**9*p))\/(p\/p**(-3\/2)))**(-45) assuming p is positive.\nAnswer: p**(-25605\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + -1*(-3 - -2). Suppose -f = -2*x - i, 0 = f - 0 + 1. Let w be 18\/6*1*x. Let p(c) = 3*c + 2. Calculate p(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 4 = 9. Sort 5, x, 1 in increasing order.\nAnswer: x, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m, given that 2*m**3 - 858*m**2 + 93820*m - 930864 = 0.\nAnswer: 11, 172, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 9, 4, -130, -165 in increasing order.\nAnswer: -165, -130, 2, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fff when three letters picked without replacement from yyffffffffffffyffy?\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -3. Suppose 0 = -s*r + 3*v, -5*r + 0*v - 2*v = 0. Suppose 3*u + g = 6*g + 24, g - 3 = r. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 48*t = -11567. Does 22 divide t - (7\/(-1) - -1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 t, and 1 j when three letters picked without replacement from tptppwwpqpptpjqpthtw?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -s**5\/2 - s**2\/2 + 8*s. Give a(1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 80 = 13*c. Let h(f) = -2*f**2 + 21*f - 6. Let u be h(c). What is d in -2\/5*d**5 - 2\/5*d**u + 0 + 2\/5*d**2 - 4\/5*d + 6\/5*d**3 = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -25, 67, -4, 3, -513 in decreasing order.\nAnswer: 67, 3, 1, -4, -25, -513","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 27 + 21. Calculate the remainder when n is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2656*g - 77175 = 2641*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, d: 4, g: 11}. What is prob of sequence igid?\nAnswer: 11\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 6.009\nAnswer: -4.2063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 197 = -s, 3*c - 6*s = -4*s + 611. Let y be c\/(-84) + 1*(-2)\/(-8). Suppose -4*l = -6*d + 5*d + 10, 0 = -2*l + 3*d. Which is smaller: l or y?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-2)\/(-3))\/(200\/(-500)))\/(56\/(-72)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 187813, 375626, 563439?\n\"Answer: 187813*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -376 + 375.6. Let g = -2 + 2. Put r, 0.081, g in decreasing order.\nAnswer: 0.081, g, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3201 + 0*j + 6629 - j - 9932.\nAnswer: -j - 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -213 - -171. Let h = 102 - l. Is 36 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -10. Let u = a - -9. What is the second derivative of y**5 - 2*y + 4*y**u + 0*y**5 - 4*y**2 wrt y?\nAnswer: 20*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ljjljjjljljllljljjll. What is prob of sequence llll?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3396?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 9774*q**2 + 2*q + 206620 wrt q?\nAnswer: 19548*q + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07417, 5, 575 in descending order.\nAnswer: 575, 5, -0.07417","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooro when four letters picked without replacement from rrrrrooorrrrroroor?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 k when three letters picked without replacement from eeiyeyeeieyky.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 559 minutes after 3:00 AM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -112*v**4 - 36?\nAnswer: -448*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 338 and 34?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*i - 55 = -21*i. Calculate the remainder when 42 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24248649*c*g**2*z + c*g - 16*c*z**2 - 48*c + 2*g**2*z**2 - 392*z**2 wrt g.\nAnswer: 48497298*c*z + 4*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5691 is divided by 219.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*u - 8*u + 29070 = 0. Let m = 16 - u. What are the prime factors of m?\nAnswer: 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 + -4)\/(225\/975 - 738\/(-13))\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1514 + -1501. Solve -20 = -7*t - x*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 706617 times 7.71?\nAnswer: 5448017.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - 7 - (-10 + (7 - (11 - 12))).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/(g*g**(-2)\/g))*g)**(-26\/5)\/((g*g\/((g**14*g)\/g))\/((g**(-5\/6)\/g)\/g)) assuming g is positive.\nAnswer: g**(431\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1221 is divided by 393.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(13) - (sqrt(117) - sqrt(13))) + -2.\nAnswer: -sqrt(13) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*h**3 - 116*h**3 + 31*h**3 + 21*h**3 + 21*h**3 + 27*h**3.\nAnswer: 10*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 695034586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -6*f**2 + 5*f - 4. Let b(n) be the first derivative of -11*n**3\/3 + 5*n**2 - 7*n + 1346. What is 5*a(c) - 3*b(c)?\nAnswer: 3*c**2 - 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 92\/(-92)*(-2)\/(-1)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -16*j. Let y(h) = -3*h**2. Give y(f(b)).\nAnswer: -768*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*l = 6*l + 26*l + 444 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -26*k. Let o be d(-1). Suppose 0 = -5*q + 76 - o. Solve -q = -0*r - 5*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/70 - (-21)\/35. Let g(c) = c**3 - 5*c**2 + 3*c - 3. Let k be g(5). Let m = -14 + k. What is the closest to m in -0.3, -3, w?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-90)\/(-36))\/(2\/24). Suppose 3*q - 229 = n, -9 - 3 = 3*n. Calculate the highest common divisor of a and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (4\/(-6))\/(12\/18). Does 12 divide ((-1)\/(-2))\/(h\/(-24))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3 - 12. Let p = -9.0004 - u. Round p to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543 (base 14) to base 15\nAnswer: -494","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + 65 = 13. Let l(c) = -23*c - 7. Let m(b) = -11*b - 3. Let y(w) = u*m(w) + 6*l(w). Let n(k) = k - 1. Determine -3*n(x) + y(x).\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 302822 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 201 equal to 801\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 681 minutes after 1:09 AM?\nAnswer: 12:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -0.3, -0.1, 103, 0.9, 27\/7?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*h - 10*h = 6636. Let g be ((-188)\/(-3))\/(26\/273). Let c = h + g. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -5*y**2 + 4*y - 3. Let s be g(2). Let c = s + 81. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 4:12 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*x - 45*x - 243*x**3 + 239*x**3 - 46*x + 84*x.\nAnswer: -4*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 197, -4\/27, 2 in increasing order.\nAnswer: -4\/27, 2, 197","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (-1*-3*sqrt(468)*2)**2 - ((-5 + sqrt(325) + 0 - ((-2*sqrt(325))**2 + 3)) + -3).\nAnswer: -5*sqrt(13) + 18162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = m, 2*m + 2*x - 10 = -2*m. Suppose 0 = -m*b - 3*b. Suppose o - 3*a = -99, 4*a + a = b. What is o rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 67000821 - -7?\nAnswer: 67000828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 537 divide 56646504?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -24221424 (base 7) in base 5?\nAnswer: -1023003110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**3 - 3*b**2 - 52*b - 3. Let n be c(-6). Let g be (n\/(-2))\/(-6*1\/(-44)). Calculate the greatest common factor of 154 and g.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*y = 13*y + 14*y - 510 for y.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -d*g*h*o**3 - 3*d*g*o - 124*d*h*o**2 - 2*d*h*o + 7131*d*o**3 + 2*g*h*o**3 - 2*g*h*o**2 + 3*g*h*o + h*o wrt o.\nAnswer: -6*d*g*h + 42786*d + 12*g*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*s + 1110 = -5*o - 2, -o + 0*s = 2*s + 88 - 252 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000000011011 - 10001101110010100?\nAnswer: -10010101110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 124, 251, 378, 505?\n\"Answer: 127*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a. Let t be l(-2). Let r(m) = -11*m**2 - 2*m. Let y be r(t). What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20042850251 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5479 is divided by 276.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 170*w - 3528 = 121*w. Solve 0 = -3*v + 63 - w for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 452.\nAnswer: 4972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33*o**2\/4 + 10047*o\/4 + 2745\/2.\nAnswer: -3*(o - 305)*(11*o + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1b18 (base 14) in base 15?\nAnswer: 16d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) be the third derivative of 1\/60*t**5 - 10*t**2 - 1\/2*t**4 + 0 - 16\/3*t**3 + 0*t. Let o be d(13). Is o at least as big as -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d - 2. Suppose 0 = 2*o - 5*o + 18. Suppose o = -2*c - 6. Let x be m(c). Solve -b - 9 = -2*i - 2, -x*b = -3*i + 8 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6821\/2070 + 1\/207. Calculate the common denominator of c and ((-2)\/(-8))\/(6\/(-219)).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + 455101171910?\nAnswer: 455101171909.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(10)*1)\/sqrt(2) + sqrt(15)\/sqrt(3) + -1 + -2)**2.\nAnswer: -12*sqrt(5) + 29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 c when two letters picked without replacement from {y: 5, c: 2, s: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a decade in years?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (655\/1834*-14*(-3)\/(-60))\/(31\/12)?\nAnswer: -3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.0715 + -0.1285. Which is the biggest value? (a) d (b) 5 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 10. Suppose -t*p + 56 = -20. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 31156642?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-18)\/12*(-4)\/(-3). Find the common denominator of 19\/14 and ((-77)\/196)\/(o\/36).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*m**4\/2 - 6263*m**3\/2 + 32255*m**2\/2 - 7325*m\/2 = 0. Calculate m.\nAnswer: 0, 5\/21, 5, 293","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**3 + 3*r**2 + r + 3. Let c be f(-3). Suppose c = 2*k - 7 - 13. Suppose 44 = v + k. Is 34 at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, j: 4}. Give prob of sequence jpjp.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -397083839, -397083841, -397083843, -397083845, -397083847, -397083849?\nAnswer: -397083851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5 - 71*l - 4 + 34*l - 3 wrt l?\nAnswer: -37","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21, -318, -1085, -2520, -4821, -8186, -12813?\nAnswer: -18900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -j**2 + 15*j - 15. Suppose -4*h + 0*t + 5*t + 113 = 0, 4*h = t + 93. Suppose 6*f = 38 + h. Is 7 a factor of l(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5929 = 28*q - 7694 + 4215. Is 359 smaller than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t - 2. Let w be m(2). Let c(r) = -2*r - 2. Let g be c(w). Let d(x) = 20*x - 20. Let p(k) = 7*k - 7. Give g*d(f) - 17*p(f).\nAnswer: f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -169607\/27 + 6280. Is q smaller than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-282)\/(-705)*180\/8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-10 - 8 + 1 + 64)*(-26*c**3 - 32 + 32) + 2*c**3 - 9*c**3 - 3*c**3 to the form t*c**2 + h + n*c**3 + k*c and give n.\nAnswer: 1212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1803?\nAnswer: 3, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*b**3)*(-b**2 + 0*b**2 + 0*b**2) - 2*b + 2*b**5 - b**4 + 2*b.\nAnswer: 4*b**5 - b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1319*r + 538*r**5 - 834*r - 2883*r**5 + 766*r - 657*r**5 wrt r?\nAnswer: -60040*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 546 minutes before 1:13 AM?\nAnswer: 4:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a centimeter in micrometers?\nAnswer: 28750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1479471, 21.\nAnswer: -1479471, -1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2881 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48672 divided by -6084.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*c - 323 - 321 + 966 - 319.\nAnswer: 4*c + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + r + 12. Calculate the highest common factor of 24 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -4 (b) -2\/11 (c) 2 (d) 6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1\/5, 1\/11, -383?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z - 3. Let l(c) = -4. Let m(t) = 3*l(t) - 4*p(t). Let j(w) = -w**2 - 5*w - 6. Let h be j(-4). Let u(y) = -3*y. What is h*m(k) + 3*u(k)?\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 29793661439 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 226714259?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2. Let r(o) = -4*o**3 + 7*o**2 - 12*o + 4. Let z(y) = 5*f(y) + r(y). Determine m so that z(m) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 5*q = -233, 0 = 2*v - 6*v - 3*q + 296. Suppose -4*c + 61 = 3*n, 0*c = 3*n - c - v. Calculate the remainder when n is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 511 = 4*b. Suppose -4*r - 5*g = -96, -2*r - 3*r + g = -b. What are the prime factors of r?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5 - c**2 - 5 - 1. Suppose -2*l = -3*x - 22, 4*x - 1 + 22 = l. Suppose -2 = l*w - 4*w. Give t(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -147? (a) -0.2 (b) -5 (c) 0.2 (d) 5 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 36857459 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1397*q**2 + 34*q**2 + 16*q - 16*q.\nAnswer: 1431*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrarxxaaaaxxaarxar. Give prob of picking 3 r.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 34 (base 11) to base 12\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 + 3*53\/3. Let t(n) = l + n - 55. Let v(c) = -13*c. Calculate t(v(x)).\nAnswer: -13*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2589779 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) be the third derivative of -o**4\/24 - 63*o**2. Let w(i) = 5*i + 53. Let d(n) = 3*g(n) + w(n). Let y(r) = -2*r. What is y(d(j))?\nAnswer: -4*j - 106","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 357, 358, 359, 360, 361?\n\"Answer: v + 356","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2228090243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + l + 20 = 6*l, 5*u = -5*l + 50. Let y(a) be the first derivative of -2\/15*a**u + 1\/3*a**2 - 2 - 1\/6*a**4 + 0*a + 2\/9*a**3. Factor y(t).\nAnswer: -2*t*(t - 1)*(t + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-30)\/8)\/((-3)\/(-8)). Let j(w) = -w**3 - 11*w**2 - 12*w - 7. Let f be j(t). Let d = 19 - f. Does 6 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1\/6, -1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 5*o = -5*f + 27, 2*f + 2 = 2*o. Let l(p) = -4 - 5*p - p**3 + 6*p**2 + o + 3. Let j be l(5). Let x(y) = -2*y + 3. Calculate x(j).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.01 + 0.06. Let h = w + -0.17. Let r = 51\/14 - 22\/7. What is the closest to r in h, -3, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z. Suppose 0 = -0*v - v + 2. Suppose o + 0 = v. Suppose 2 = -o*s - 2. Calculate p(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -2*i + 16152, 4*i - z - 10716 = 21588. Is i a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 507 + 7 = 4*c, c - 1 = 0. Let r = d + 108. What is the derivative of -r - p**2 + 47 + 26*p**2 wrt p?\nAnswer: 50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -1299*x - 33. Let j(n) = -600*n**2 - 1. Give c(j(v)).\nAnswer: 779400*v**2 + 1266","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 17672329 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 29. Let a = r - -58. Suppose 5*k + 108 = 10*k - u, -2*k + 3*u = -a. Is 3 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that 2*s**3 + 358*s**2 + 2088*s - 165240 = 0.\nAnswer: -170, -27, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46410 is divided by 221.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*s**5 - 12300*s**4 + 36882*s**3 - 36876*s**2 + 12291*s = 0. What is s?\nAnswer: 0, 1, 4097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, -11, -28, -53, -86, -127?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -173 and 15.\nAnswer: -2595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1175862*a**5*z + 12*a**2 - 29868*a*z + 17*a wrt a?\nAnswer: 23517240*a**3*z + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 3, i: 2, q: 13, r: 2}. Give prob of picking 1 q and 2 v.\nAnswer: 13\/380","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17925 is divided by 2421?\nAnswer: 978","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9988843 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f**3 - 2*f**2 - 5*f - 2. Let d(i) = -712*i**3 + 4*i**2 + 3141*i + 6. Let y(n) = -d(n) - 3*s(n). What is the second derivative of y(a) wrt a?\nAnswer: 4254*a + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 481 times 1.6\nAnswer: 769.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2851.37468334 + 1501.37468983. Let q = 2044 + -694. Let w = q + m. What is w rounded to six decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/297*-3)\/((-20)\/90)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1842000 rounded to the nearest one hundred thousand?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 2 + f**3 - 5 - 22*f**2 - 5*f + 23*f**2 + 0*f**3. Let j(p) = -3*p**3 - 2*p**2 + 11*p + 7. What is 7*i(t) + 3*j(t)?\nAnswer: -2*t**3 + t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 5, q: 5}. Give prob of sequence zz.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*w**2 + 8\/5 - 12\/5*w + 4\/5*w**3.\nAnswer: 4*(w - 1)**2*(w + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3660)\/6405*3\/((-12)\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 21278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 18 = 3. Suppose 13*h - 10*h = 48. What is the least common multiple of (-4 - w) + 8 + 3 and h?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b + 33. Let z(u) = -18872*u. Give k(z(w)).\nAnswer: 37744*w + 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 165?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/189*(212 - -409)?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 1889, 5, -2, -329 in decreasing order.\nAnswer: 1889, 25, 5, -2, -329","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -5, -0.5, -55, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16f0 (base 16) to base 10.\nAnswer: -5872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((w\/w**0*w)\/w*w)\/w)\/w*w**(-2\/5)*w*w**(4\/5)\/((w*w\/w**(-1)*w)\/w))\/((w*w**2*w)**(-4\/29)*(w**2)**(-1\/3)) assuming w is positive.\nAnswer: w**(-166\/435)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*y = -18*y - 90. Is y smaller than -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -6 + 9. Suppose 0 = -2*x - a*x. Let i = -1 - 3. Sort i, x, 3 in decreasing order.\nAnswer: 3, x, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 51664*g**3 - 2*g**2 + 6*g - 589 wrt g.\nAnswer: 309984","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108.25 + -108. Let o = 1 + -0.95. Let v = o + f. What is the smallest value in 0.5, v, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.0663856 + 0.06562. Round r to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -118*m**4 + 2093*m**3 - 10870*m**2 + 15957*m - 7020. Let k(h) = h**4 + h**3 + h**2 - h + 12. Let i(c) = -3*k(c) + r(c). Let i(v) = 0. Calculate v.\nAnswer: 1, 84\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence joa when three letters picked without replacement from {o: 6, j: 2, c: 2, a: 1, z: 3}?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -244651 + 243666.71. Let v = 980 + r. Round v to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2745 + -1658. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 55 - 48. Suppose x = -13*p - 6. Let t be 1 - (3 - p\/((-1)\/2)). Solve 0 = -t*l - 3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -72717 - -72732. Let j = 13 - 8. Solve -j*m + f = -10*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of 0*s**2 + 0*s**5 + 0 - 1\/28*s**8 + 2*s - 1\/6*s**4 + 0*s**3 + 0*s**7 + 0*s**6. What is the third derivative of t(m) wrt m?\nAnswer: -240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + 3. Suppose 0*o + 3*l = -a*o, -4*o + 7 = l. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*k**2*n*s**2 - 973*k**2*s**2 - 2036*k*n*s**2 wrt n.\nAnswer: 2*k**2*s**2 - 2036*k*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d**2 + 4*d**2 - d**2)*(2*d + 12*d - 4*d)*(-d - d + 0*d).\nAnswer: -40*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.4 and -119.\nAnswer: -47.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.52 + -0.2. Let x = -0.27 + f. What is x rounded to 2 decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the third derivative of z**7\/42 - z**6\/3 + z**5\/2 + 25*z**4\/3 + 125*z**3\/6 - 17*z**2 - 1. Factor f(b).\nAnswer: 5*(b - 5)**2*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = 32*n + 216 for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 15*a - 232. What is r(16)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2015?\nAnswer: 5, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -11173*h**2*j**2 + 405*h**2*j + 1002626*h**2 + 30 wrt j.\nAnswer: -22346*h**2*j + 405*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -53, -2, 570, -88 in decreasing order.\nAnswer: 570, 1, -2, -53, -88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 339*c - 37. What is the tens digit of w(3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/36096 and 71\/66176.\nAnswer: 397056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 5*n + 1. Let o be g(2). Let z = o + -9. Let h be z + -2 - (-4 + 1). Solve 5*t = -h*v - 28, 5*t = -0*v - 4*v - 29 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1963 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1022 + 212012?\nAnswer: 210330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-2\/5)\/(x*x**(1\/3))*(x**(-1)\/x)**(1\/33)*(x**(-1\/9)\/x**(3\/5))**(5\/9) assuming x is positive.\nAnswer: x**(-9752\/4455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*((n\/((n*n*n*n\/(n\/(((n*n\/n**(1\/53))\/n)\/n)*n)*n)\/n)*n)\/n)\/n*n)\/n**(-2\/31))\/((n\/n**(1\/4))\/n**(-33)) assuming n is positive.\nAnswer: n**(-221257\/6572)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-738234)\/245)\/93)\/(6\/(-10)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.3 - 0.2. Let m = -7.3 + 7. Let t = m + 0.1. Which is the biggest value? (a) 1 (b) h (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 15 and 920186.\nAnswer: 13802790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*g**3*p**2 - 540*g**3*p + 2159*g**2*p**2 + 181*g*p + 116*p**2 wrt p?\nAnswer: 4*g**3 + 4318*g**2 + 232","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 9459*v + 181. Is f(26) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(152) + -1*sqrt(152)) - sqrt(152) - sqrt(152))\/(sqrt(8) + sqrt(200) + -2*sqrt(200) - sqrt(8)) + (sqrt(152)\/(sqrt(8) + -2*sqrt(648)))**2 + -1.\nAnswer: -270\/289 + 2*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the first derivative of v**4\/24 + v**3\/2 - v**2\/2 - 9. Let u(x) be the second derivative of g(x). What is the least common multiple of 3 and u(4)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = n**3 + 5*n**2 + 6*n + 5. Let k be l(-4). Let a(b) = 45*b + 139. Let d be a(k). Solve -d = 4*i, 2*w - 4 - 2 = 4*i for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from {o: 1, w: 2}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-172)\/(-3) + 12\/(-9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvlxlxoovxlvvxvk. What is prob of picking 2 l and 1 o?\nAnswer: 3\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 8475564 and 3655166?\nAnswer: 4820398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k - 5. Let f be z(9). Suppose 19 = -f*u - 5. Let w be (9\/18)\/(2\/u). Sort 0.2, w, -2\/5, 0.1.\nAnswer: w, -2\/5, 0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -5 + (-120)\/(-20) - (-176184)\/4?\nAnswer: 17, 2591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -14, -28, -40, -50, -58, -64, -68?\n\"Answer: n**2 - 17*n + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15085473575.370989 + -15066959821.571. Let f = a + -18513745. Let b = -8.8 + f. What is b rounded to six dps?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 2, x: 7, n: 2}. What is prob of sequence xnxy?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of q**5\/120 - q**4\/8 + q**3\/6 + q**2. Let m(t) be the first derivative of a(t). Is m(10) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 74\/6*(-3573)\/(-1191)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/12863861 and -19\/11?\nAnswer: 141502471","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 207\/138 - 22\/4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 125*r - 115*r = -30 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2230167, 2230175, 2230195, 2230233, 2230295, 2230387, 2230515, 2230685?\n\"Answer: n**3 + n + 2230165","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 - 1 + 5 - 4 - n**2 to the form d + i*n + g*n**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -7116 (base 9) in base 4?\nAnswer: -1101033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 40 (b) -0.3 (c) -1 (d) -20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135170 is divided by 1590.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of 0*c - 4*c**2 + 4\/15*c**5 + 0*c**4 + 0 + 0*c**3. Let z(s) = -4*s**2. Give n(z(p)).\nAnswer: 256*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2701031998 to the power of 1\/3, to the nearest integer?\nAnswer: 1393","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + 2. Let h be (-15929)\/51 + (-3)\/(-9). Let x = h - -1556\/5. Sort a, -5\/3, -5, x in descending order.\nAnswer: a, x, -5\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -385.5 + 385. What is the closest to -3 in p, -3, -4, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 401838?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 349*d - 14310 = -128*d for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + 7*p + 4. Let m be s(8). Let f(g) = -2*g - 8. Let q be f(m). Solve -n = -q*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 12*g - 7. Let t be h(5). Suppose -125 + 135 = 5*z, -o - 1260 = 5*z. Let x = o - -1323. Is x less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1171905 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 257*c**2*t**4 - 2*c**2*t**2 + 22*c**2*t + 5*t - 2 wrt t.\nAnswer: 3084*c**2*t**2 - 4*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -42598485 divided by -53583?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 5523 - 1253*g**2 - 5523 in the form s*g + r*g**2 + h and give r.\nAnswer: -1253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve a - 3*u + 7 = 0, -31 = -3*a + 72*u - 76*u for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 2*d - 8 + 2, -4*d - 5*j - 6 = 0. Solve 8 = -x + 4*x - 4*s, -4*x - d = -3*s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8, -11, -66, -175, -356, -627?\nAnswer: -1006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4151236*a*x + 2*x - 5591398 with respect to a.\nAnswer: -4151236*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -7*h**2 + 4*h. Let y(l) = 8*l**2 - 5*l. Let u(i) = 6*n(i) + 7*y(i). Find the second derivative of u(j) wrt j.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 203, 1, 2, 28 in increasing order.\nAnswer: 1, 2, 28, 35, 203","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 25616 and 8924?\nAnswer: 57149296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4, -3, 4, 17?\n\"Answer: 3*b**2 - 8*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 80\/(-36)*(-6)\/10?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 874271?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = -0 - 9. Let o(m) = -m + 1. Let n be o(2). Let j = n - i. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1c1080 (base 13) to base 6.\nAnswer: -23204154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0424 (b) 0.606 (c) -0.27\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110 = -4*o + 2*x, 59*x + 58*x - 184 = 25*o - 57*x + 171*x for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 - ((113 - 203) + 56)?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -208.62 + 209.6818. Round q to one decimal place.\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-4))**(-2\/19)\/(u*u*u**(-5))**(-2\/47) assuming u is positive.\nAnswer: u**(262\/893)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 333 = -16004?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 54*b**2 + 431*b - 10. What is u(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) 25 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -86. Calculate the highest common factor of d and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-10) - ((-2148)\/464)\/(345\/(-92)).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9166095*h*n - 46390119*h with respect to n.\nAnswer: 9166095*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 115100957 - 47500932. Suppose -f - 4*f + 3*x = 67600015, 5*x = 5*f + a. Round f to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -60 - -36. Let s be (8\/t)\/(2\/(-12)). Let v be 12 - (-1 + 0) - 1. Solve v = -s*q - 2*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54, -89, -116, -129, -122, -89?\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(847) + -2)*-2*-6.\nAnswer: -660*sqrt(7) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -603 - -603. Solve 4*r - 4*v + 8 = -5*v, r + v - 1 = z for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 235248 and 182?\nAnswer: 1646736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*n + 4504 - n**2 - 4504.\nAnswer: -n**2 + 12*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12 + -10. Let n be -2*b + (8 - -2). Suppose -n*k + 165 + 105 = 0. What are the prime factors of k?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 186119 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m - 13 + 13 + (-2*m - 2*m + m)*(2 - 3 + 4).\nAnswer: -10*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164\/(-328)*(20\/1 + -2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27272?\nAnswer: 2, 7, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/(-5))\/(7\/70). Is (r\/(-30))\/((-2)\/(-10)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = q - 5, -12 = 3*t - q + 5. Let u be (t\/(-8))\/((-1)\/(-22)). Solve 5 = -4*y - u for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*s - 2*n + n = 2*s - 49, -3*s - 927*n = -937*n + 67 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -3113?\nAnswer: 3110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 68637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, a: 1, w: 7, s: 5}. Give prob of picking 1 q and 1 s.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 144033?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 57481541, 114963111, 172444683, 229926257, 287407833, 344889411?\nAnswer: 402370991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1093*k + 1140*k - 1880 for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - p = -4. Let r = 8.94213 - -0.05787. Which is the closest to -2\/7? (a) p (b) r (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n - 12 = -6. Suppose g - 128 = -n*g. Does 8 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 1326232.\nAnswer: 1\/1326232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*h + 36 + 288. Let s(o) = -o**3 + 10*o**2 - 8*o - 9. Determine s(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/(-3) - 4\/6. Let h be -15 - (4 + -1 + -3). Let j = -12 - h. Solve -4*c - 32 = -4*a, -2*a + j*c + i = 4*c for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 375*u**2. Let k(n) = 20*n**2. What is k(p(h))?\nAnswer: 2812500*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 26*a**2 + 10*a - 501. Is l(-35) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 201746?\nAnswer: 2, 149, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -368 - -775\/2. Let i = -18 + s. Which is the second biggest value? (a) i (b) -7 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 8*m**2 + 2*m - 3. Let d be r(1). Suppose d*f - 1326 = f. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*q = 17090 - 15599 for q.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-1))\/((-561)\/374)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 9*q + 249. Let a = q + 36. Let u be (2\/a)\/6 - (-14)\/21. Let r(g) = 2*g**3 + 1. Let i(p) = -p**3 - p**2 - 1. What is u*i(d) + r(d)?\nAnswer: d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -10*l**2. Let z be -16*-2*3\/12. Let n = 12 - z. Let v(d) = 2*d - n*d - 7*d + 7*d. Determine j(v(y)).\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00687787 rounded to three decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -84*z**2 - 6 + 29*z**2 + 26*z**2 + 26*z**2. What is h(3)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186 - 176. Calculate the lowest common multiple of i and (-2)\/3*(1 - 34).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**3 + 7*k**3 - 5*k**3 + (3 - k - 3)*(8 - k**2 - 8))*(k - k + 2*k**2).\nAnswer: 8*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36 = 5*j - 61 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 + l - 2. Let j(w) = w**3 + 15*w**2 - w - 19. Let h be j(-15). Calculate the remainder when 129 is divided by f(h).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 833253?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 90 and 50?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -34*x. Let s(u) = -u**2 - 2*u - 2. Let t(w) = -5*w**2 - 8*w - 8. Let r(j) = 20*s(j) - 5*t(j). Determine f(r(i)).\nAnswer: -170*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((s*s**(-11))\/s)\/s*s**(-1))**(-2\/3))**(-11\/5) assuming s is positive.\nAnswer: s**(-286\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8833 and 363832.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 8*o**2 + 54. Let w(p) = -719*p. Calculate z(w(q)).\nAnswer: 4135688*q**2 + 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 24 = -3*d - 3*n, 5*d + 4*n - 74 = 0. Suppose -4*i = d + 2, -4*w + i + 41 = 0. Solve -2*q - 1 = w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 75\/2 of a kilogram?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(1300) - sqrt(1300) - sqrt(1300))\/((sqrt(4) - sqrt(16))*5) + 3*sqrt(13)*-1 + 0 + sqrt(117) + sqrt(13).\nAnswer: 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 30465 - 30464.99948836. What is j rounded to six decimal places?\nAnswer: 0.000512","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-303)\/(-15) + (-1)\/5. Find the second derivative of g*f**3 - 22*f + 2*f**3 - 3*f**3 wrt f.\nAnswer: 114*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-174)\/21*-1*91*35\/910?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express m - 70*m**3 + 3*m**2 + 215*m**3 - 1 - 8*m**4 - 64*m**3 - 59*m**3 as w*m + q*m**3 + u*m**2 + g*m**4 + r and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -6\/37 (b) -25 (c) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**5 + 0*q**5 + 0*q**5 + (-4*q + q**2 + 4*q)*(3*q**2 + q**3 - 3*q**2) - 6*q**5 + 8*q**5 - 16*q**5 + (3 + 4 - 6)*(27*q**5 + 43*q**5 + 7*q**5).\nAnswer: 66*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b - 1. Let d = 6 - 5. Let l be m(d). Determine o so that 3*o**3 - 3*o - 2 + 5 - 2*o**l - 5 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12602 take away 9?\nAnswer: -12611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*a + 78 + 146 = 0. Calculate the remainder when 77 is divided by a.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 3 = -6*p - 3*g, 0 = -2*p - 3*g - 23 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4377?\nAnswer: 3, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-9)\/((-18)\/(-6)))\/((-6)\/(-148)). Let t = c - -78. Solve 0*i - 16 = -t*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 131?\nAnswer: 3\/131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 3)*(-4)\/(-4). Let f(w) = 6*w. Give f(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 326852039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 + 2 + (-15 - (-2 - 6)) + 4?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 2 r, and 1 t when four letters picked without replacement from {r: 4, t: 2, c: 1}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 194669 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1978.\nAnswer: 2, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y**2 + y. Let s be u(1). Let z = 3 - s. Let k = -0.1 + 0.1. What is the nearest to z in 5, k, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 453 minutes before 3:58 PM?\nAnswer: 8:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.11*2.7.\nAnswer: -0.297","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1429681?\nAnswer: 11, 129971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 6*c. Let w(l) = 3*l. Let j(q) = -340*q. Let x(s) = -2*j(s) - 238*w(s). What is p(x(v))?\nAnswer: -204*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 f, and 2 k when four letters picked without replacement from khkhhhhkfhhhhhh.\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + -8 + 4)\/1. Suppose -29*x + 658 + 38 = m. Let j(q) = -6*q + 1. What is the remainder when x is divided by j(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 129 + (-41 - 23) - 18.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56259 + 72012 = 17*b - 4*b. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - (1 + -10 - -11))\/((-1)\/3)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 5)*(2 - 1 - 2 + (-2 + 0 + 0)*(-2 - 2 + 1))*(t**4 + t**4 - t**4).\nAnswer: -10*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 2*q**4 - 8*q**3 - 18*q + 8. Let z(v) = v**4 - 3*v**3 - 6*v + 3. Let j(r) = 3*p(r) - 8*z(r). Find the second derivative of j(b) wrt b.\nAnswer: -24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*x + 4*w + 57, 5*x - 81 = -w + 3*w. Let i be (21\/(-14) - -1)*-20. Calculate the greatest common factor of x and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 652238*t - 652243*t = 180, -180 = -4*k - 5*t for k.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x - 3*x + 0*x)*(207*x**4 - 3*x**2 - 51718*x + 51718*x).\nAnswer: -1035*x**5 + 15*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 + -17. Let r = x - 51\/7. Let l = -4 - -3. Which is the third smallest value? (a) l (b) -0.5 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -2*d**3 + 28*d**2 - 27*d + 17. Calculate l(13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10632 (base 9) to base 14.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(54) - (sqrt(270)*-1)\/sqrt(5))\/(sqrt(21)\/((sqrt(56) - sqrt(224))\/sqrt(8))))**2.\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2390582*-4\nAnswer: -0.9562328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h - 4*h + h)*(1 - 2 + 0) + 5*h - 7*h + 28*h + 4*h - h - h + 2*h - h - 2*h + (2 - 3 - 1)*(-5 + h + 5) + (7 + 1 - 5)*(-3 + 3*h + 3).\nAnswer: 35*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a kilogram?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(91) + -4*(sqrt(91) + (sqrt(91) - -4*sqrt(91)) + sqrt(91)))\/sqrt(7).\nAnswer: -27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82865386137 - 82865386137 - 3*i.\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.026631l in millilitres?\nAnswer: 1026.631","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((h**(-7)\/h)\/(h\/(h*h\/(h*((h**(2\/5)*h)\/h*h*h)\/h))))\/(h\/h**2*h)**(-26))**(-9\/4))**(-1) assuming h is positive.\nAnswer: h**(-423\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 + 2.2. Let m = -0.94 + j. Let w = -0.26 + m. Which is the nearest to w? (a) -1\/3 (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(5) + -4 + sqrt(10)\/sqrt(2) + -1 + 3*sqrt(20) + -1.\nAnswer: -5 + 8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2 = 5*u - 2, 2*c + 3*u + 4 = 0. Let s(g) = 2*g**3 + 3*g**2 + g + 1. Let d be s(c). Sort 2, d, -3 in decreasing order.\nAnswer: 2, -3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 2*w**3 + 39*w**2 + 172*w - 17. Let i be y(-7). Factor -i*r**2 + 4\/3*r + 8\/3.\nAnswer: -4*(r - 1)*(3*r + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 4. Suppose 2*o + q - 3*q - 8 = 0, -4*o = 4*q - 8. Suppose -5*j - f + 45 = x, -o*j + 0*f - 3*f + 27 = 0. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u\/(u\/(u*u**(3\/11))))*u)**42\/(u**(1\/37)\/((u**(-15)\/u)\/u)))**(-39) assuming u is positive.\nAnswer: u**(-881244\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3*-2)\/(2\/(-5)). Suppose -6 - 46 = -2*a. Suppose -1 = 5*s - a. What is the greatest common divisor of t and s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 4*p = -9 - 30, -h = -5*p - 12. Suppose -2*r = -1 - h. Let o be -6*(2 + 16\/(-6)). Solve 2*z - r*z + o = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vo when two letters picked without replacement from {d: 2, e: 7, o: 4, v: 1, h: 1, m: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -3*b. Let l(g) = 56 + 51 - 16*g**2 - 108. Calculate p(l(o)).\nAnswer: 48*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-78)\/2457*-42)\/((-26)\/9)\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**2 - 11*y + 17. Determine w(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 81 and 231.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 2*z**2. Let h(k) = 5*k**2 + 1007*k - 1007*k. Determine y(h(r)).\nAnswer: 50*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 6393783 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06852 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -253290*a**2 - 33702*a wrt a?\nAnswer: -506580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 31*a**5\/4 + 215*a**4\/4 - 236*a**3 + 46*a**2 + 308*a - 20 = 0.\nAnswer: -10, -1, 2\/31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7544 is divided by 49?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 2*x**2. Let g(a) = 19831*a + 20101*a - 40255*a. Determine g(o(b)).\nAnswer: -646*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15 - 31 - (109 - -18)) + 9?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2344 is divided by 147?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -37*o**3*u**3 - 2*o**3 + 856343*o**2*u - 146725034*o*u**3 wrt o?\nAnswer: -222*o*u**3 - 12*o + 1712686*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 59.1*5.\nAnswer: 295.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22373164 or -0.3?\nAnswer: -22373164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 11*l**2 - 15. Let m(o) = -12*o**2 + o + 16. Let x(k) = 6*b(k) + 5*m(k). Let p be x(-5). Let j = p + -111. Solve j*d - 5*d - 3 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -69 (b) 0.5 (c) 7.5 (d) -1\/4 (e) -35 (f) 2 (g) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 2*i. Let l(h) = -h**3 + 3*h**2 + 3*h + 6. Let d be l(4). Let s(p) = 12*p**d - 36*p**2 + 8*p**2 + 5*p**2. Calculate t(s(b)).\nAnswer: -22*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 3*x - 2. Suppose 0 = -172*z + 167*z - 30. Let t be h(z). Let r = t - -126. Is r a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 8\/(-10) + ((-5124)\/(-10))\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 1483*u. Let h(k) be the third derivative of -k**5\/30 - 2396*k**2 - 1. Give g(h(z)).\nAnswer: -2966*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 755485055?\nAnswer: 5, 13, 37, 53, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24a9 (base 16) to base 4.\nAnswer: 2102221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 + 9*j**2 - 31*j. Let f be i(-13). Let t = -255 - f. What is the least common multiple of t and 24?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, h: 1, n: 6, t: 7}. What is prob of picking 1 l and 1 t?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 4*f + 238 = 0, -3*i - 3*f = i - 491. Calculate the remainder when i is divided by 70.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -7\/15 (b) 13 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 13.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**3 + 5*s**2 + 7*s - 2. Let j be y(6). Suppose 5*b - 5*l + l = j, -l = b - 8. Suppose -3*r + 5 = 3*f + r, -f + b = -r. Which is greater: 2 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*-4*(2 + ((4*sqrt(1053) + sqrt(1053) - sqrt(1053)) + -4 - (sqrt(1053)*-4 + sqrt(1053) + 5))) + 1)**2.\nAnswer: -13608*sqrt(13) + 826281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 27 + -16. Let t = -11 - -18. Let f = o - t. Which is the third smallest value? (a) -3 (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 (base 7) in base 4?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.1 in 44\/7, 4, 0.08, 0.1, -10?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1690097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven eighths of a litre?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -523, 3, -1.4, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 3, t: 1, n: 2, e: 2, d: 3, i: 1}. What is prob of sequence idd?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -23, -3, 1505, -5\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 642.5 and 0.07025064?\nAnswer: 642.42974936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14 - 2\/(0 + -2)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -213091, -426219, -639359, -852511, -1065675, -1278851, -1492039?\n\"Answer: -6*q**2 - 213110*q + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4582 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 30125390*b**2 - 50211333 wrt b.\nAnswer: 60250780*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1936 + d?\nAnswer: -1928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 1 + -1 + -4\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 942576.9 millimeters to micrometers.\nAnswer: 942576900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 333666595 to the nearest integer?\nAnswer: 694","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -0*y - 12. What are the prime factors of y?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*1369710\nAnswer: -958797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 5*u - 75. Let f(h) = h - u + 9 + 6. Let i = -90 - -85. Determine f(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 3*z + 74*z + 0 to the form x*z + d and give d.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6738*b**2 - 4713*b**2 + 10323*b**2 to s*b + r + x*b**2 and give x.\nAnswer: 12348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 107.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**5 - 926*a**4 - 14519*a**3 + 37394*a**2 + 76332*a - 98280 = 0.\nAnswer: -910, -18, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1403 divided by 6?\nAnswer: 1403\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -bab2 (base 15) to base 12\nAnswer: -1aa72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a micrometer in nanometers?\nAnswer: 11750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 20 (base 12) to base 8\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**2 - 16*s + 4. List the prime factors of i(-14).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of 949*x**6\/30 - x**3\/3 - 209*x**2 + 3030*x. What is the second derivative of n(s) wrt s?\nAnswer: 11388*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pttpppp. What is prob of picking 2 t and 2 p?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 1650\/78 + (560\/24752 - 15\/85)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 1139.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -350*w**2 + 350*w**2 - 5*w**3.\nAnswer: -5*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 32\/9 + 2\/9*s**2 + 16\/9*s.\nAnswer: 2*(s + 4)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -70, -81, -40, 83, 318?\nAnswer: 695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 25 = -4*s - n, 20 = 4*s + 4*n. Suppose 3*w + 4*c - 18 = 34, 0 = -s*w + 4*c + 44. Calculate the remainder when 57 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 262 + -234. Suppose 0 = 3*d + 2*z - 1090, -3*z = d - 7*z - 368. Calculate the greatest common factor of f and d.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 26*c - 77. Determine h(0).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 AM and 10:03 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4.162 - -0.162. What is the second smallest value in -3, 0, b, 26?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = q + 2. Let t = 0.14 + -0.04. What is the nearest to 0.1 in t, -1, q?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*r + 2426*r**2 + 2*r - 2420*r**2.\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 5}. Give prob of sequence ll.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*b**2 + 33824*b + 8*b**2 - 33827*b + 15*b**2.\nAnswer: 51*b**2 - 3*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 45772 - 45772.0066639. Round m to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 - c. Suppose 0*t = -4*a + t + 25, -4*a - t + 15 = 0. Let r(i) = -3*i**3 - 7*i. Give a*o(j) - r(j).\nAnswer: -2*j**3 + 2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9 by -69275568.\nAnswer: -3\/23091856","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-2 - ((-2 - -6) + -2))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 433.00001445 + -433. What is b rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 346*j**2*r*w*x + 335*j**2*w - 6*j**2*x - j*w + 3*j - 238383*r**2*w + 208*w*x + 4*w wrt r.\nAnswer: 346*j**2*w*x - 476766*r*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -57.7 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q**4 - 69*q**3 + 598*q**2 + 1 + 3*q - 598*q**2 to the form b*q**2 + t + c*q**4 + o*q + n*q**3 and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-28))\/((-6)\/12 + 2).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.032 and 64.\nAnswer: 2.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.02207 and 183437.929?\nAnswer: 183437.95107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*c, 5*c + 18 = -3*g. Let j be (-10)\/(-15) - (-4 - g). Let a = -67\/288 + 1\/96. What is the second biggest value in a, 1, j?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/2561 and 91\/1576?\nAnswer: 20488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/10 (b) 151.21609 (c) -16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 226 + -267. Let s = w - -46. Solve -5*f + 35 = -n + s*n, 0 = -4*f + n + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 - 13*a**2 + 127*a + 706. Calculate b(-25).\nAnswer: 5031","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j + 112. Let m(i) = 4*i**2 - 151*i + 110. Give d(f) - m(f).\nAnswer: -4*f**2 + 150*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 3*z**3 - 9*z**2 - 3*z + 6.\nAnswer: 3*(z - 1)**2*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9750?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide -60*5\/30*-2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3 + 13\/2 + 2\/4. Let o be 2 - 1 - (854\/(-2) + p). Let w = 315 + o. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of -c**5\/60 + 14*c**2 - c + 50. Let z(u) = 36*u**2 + 5*u + 9. Determine z(n(j)).\nAnswer: 36*j**4 - 5*j**2 + 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + 5*g**2 + 5*g + 8. Let y be q(6). Let r(c) = 2 + 0 - c - y. Let s(n) be the second derivative of -n**2\/2 + 3*n. Calculate 3*r(v) + 2*s(v).\nAnswer: -3*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**4\/4 - 5*h**3\/3 - 13*h. Find the second derivative of v(p) wrt p.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 2*n**3 - 2*n**3 - 3. Let d(l) = 2 - 2*l**3 + 1 - 5. Let q(b) = -7*d(b) + 4*f(b). What is the first derivative of q(j) wrt j?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 4*n = -2*d - 2338, d - 2362 = 4*n. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 180 = -196. Which is the nearest to 1? (a) f (b) -0.2 (c) 17 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*r - 2*u = -2*r - 14, -4*r = -2*u - 18. Put -0.13, r, 4\/3 in descending order.\nAnswer: r, 4\/3, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 288 and 19021856.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 7:17 PM?\nAnswer: 12:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kpk when three letters picked without replacement from kpkkkpkkk.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -167.9 rounded to the nearest 10?\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10787.8 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 - 606*y + 0 + 193*y - 5 + 435*y.\nAnswer: 22*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (2*-4*5*sqrt(432))**2.\nAnswer: 691196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -10020000210 (base 3) in base 4?\nAnswer: -33133110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -182, -277, -372?\nAnswer: -467","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**3\/6 + 1063*i**2\/6 + 7867*i\/3 + 7336\/3.\nAnswer: (i + 1)*(i + 14)*(i + 1048)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 21 - 19. Suppose 0 = -x*u + 3 + 1. Suppose 5 = 3*l - 4, -219 = -u*d + l. Is 31 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -354050*n - 10621492. What is p(-30)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t + 4*t + 50*t**2 - 2 - 21*t**2 + 28*t**2 to f*t + c*t**2 + x and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -12*z + 11*z. Calculate the highest common factor of 8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 3*y + 27. Let d be k(-8). Suppose -d*a - 231 = -5*h, 0 + 3 = a. Is h a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*z**2 - 2*z + 1 - 1 + 52*z**2.\nAnswer: 73*z**2 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 8880.418 micrometers?\nAnswer: 0.000008880418","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5788226969?\nAnswer: 7, 31, 122921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 45\/(-75)*(-25)\/(-30)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1614*f*u**3 + 2*f*u**2 - 408*f wrt u.\nAnswer: -9684*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (10\/(-6))\/((-3)\/9). Let r(p) = p**3 + p - 1. Let y = 888 - 889. Let q(s) = 4*s**3 + 2*s**2 + 5*s - 3. Determine o*r(g) + y*q(g).\nAnswer: g**3 - 2*g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 z when two letters picked without replacement from awz?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the third derivative of u**6\/60 + 7*u**5\/60 - 2*u**3\/3 - 15*u**2. Let s be k(-3). Solve 5*h = 2*f - 21, 0 = s*h - 0*h + 25 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29580*b - 2*b**3 + 29580*b.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o = 2*t + 1 - 13, t + 4 = -4*o for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26068782690 - 4*o**2 - 42*o - 26068782690.\nAnswer: -4*o**2 - 42*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of w**6\/120 - w**5\/60 - w**4\/4 + 5*w**3\/6 + w**2. What is the remainder when k(4) is divided by -7 + 9\/3 - -4*3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5871 - -2681. What is u rounded to the nearest one hundred?\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -5*p**3 - p**2 - 5*p. Let x(m) = -4*m**3 - 5*m + 1. Let n(i) = 5*k(i) - 6*x(i). Give n(-6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.2, -4\/7, 4, 98, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 76 a factor of 84057?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 179755115197 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 16*d - 14. Give q(-10).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**3 + 41*y**2 - 34*y + 3. Let x be v(-21). Let i = -274 + x. Suppose -9\/2*o**3 - 27\/4*o**i + 0*o - 3\/4*o**4 + 0 = 0. What is o?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 4*a**3\/3 - a**2 + 40*a. Suppose -2*c + 2*f = -28, 70 + 24 = 5*c + 3*f. What is the remainder when o(4) is divided by c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 9*p**2 + 88*p + 63. Let b be h(-9). What is the fourth biggest value in 0.2, -6, 0.01, b?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Suppose -42 = -5*x - o. Let q be (-6)\/(x\/(-4)) - 0. Solve -2*h - q = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 1\/4, -2.36?\nAnswer: -2.36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 + 1)*2 - 0. Let u be q*(-1 + 5 - 3). Let x = -16.3 - -16. What is the nearest to x in 1, u, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -822*u - 53280 - 89808 = 262*u for u.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 9*b + 5. Let s be v(14). Let p = s - 78. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2)\/5 + 116\/140. What is the closest to -0.1 in q, -0.2, -5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 137, 1031, 3439, 8117, 15821, 27307, 43331, 64649?\n\"Answer: 126*g**3 + g**2 + 9*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, 0, 5755 in descending order.\nAnswer: 5755, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1614760 and 9198?\nAnswer: 1022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 6880 + 13 + 19 + -8*1. Calculate the highest common divisor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 2:04 PM?\nAnswer: 7:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5344, -10706, -16084, -21484, -26912, -32374, -37876, -43424?\nAnswer: -49024","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15215 is divided by 2173.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 - 2*f**2 + 23*f + 59. Is c(22) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (65\/(-10))\/(-13)*5*-2?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -2\/27, 2\/25, 2\/9, 2 in decreasing order.\nAnswer: 3, 2, 2\/9, 2\/25, -2\/27, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**3 + 3*w**2 - 18*w**2 + 10*w**3 to the form c*w**2 + v*w + f + z*w**3 and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 12*c**3 + 54*c**2 + 400*c + 333. Let o(h) = -7*h**3 - 27*h**2 - 201*h - 166. Let n(f) = 3*j(f) + 5*o(f). Factor n(m).\nAnswer: (m + 1)*(m + 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3 - 48054480*x**2 + 192217944*x - 192217952.\nAnswer: -2*(x - 2)**2*(x + 24027244)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 44 + 97 + -53 + -58\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9999 - -10002. Solve -12 = -3*k + h*v - 6*v, v = -2*k + 4 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1970891 - 8*g - 5*g - 11*g + 1970891 - 7*g + 32*g.\nAnswer: g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = 4*a - 3. Solve 5*y + g = -a - 12, 2*y + 3*g = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-39)\/30)\/13*-2.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2*b**2 - 241. Let n(l) = 30*l. Determine n(w(g)).\nAnswer: 60*g**2 - 7230","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in seven eighths of a meter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 139*q**2 - q - 74. What are the prime factors of k(-7)?\nAnswer: 2, 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 8 = 3*s - 2 + 1, -5*g + 5*g - 4 = -4*g for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1\/(-2))\/((-60)\/(-10)))\/((-14953)\/6296).\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(4\/5)\/(g\/((g\/(g**(1\/6)\/g))\/g)) assuming g is positive.\nAnswer: g**(19\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 0*j**2 + 18*j - 17*j - j**3 - 7*j**2. What is the units digit of g(-8)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5 + -9. Let p(s) = 2*s - 3*s**2 - 3*s**2 + 2*s**2 + 5*s**2 + 0*s**2. Let f(b) = -2*b**2 - 3*b. Give t*p(l) - 3*f(l).\nAnswer: 2*l**2 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 156 divided by 13\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1166.374 - 1167. Let p = -3.026 - -3. Let v = p - l. Is -1 >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.7846 + 0.2154. What is the nearest to -1\/4 in -3\/5, -2, -13, c?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 t when three letters picked without replacement from nkuutnnkt?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44738 is divided by 6434?\nAnswer: 6134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/6 and 85\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 154697 and 339.\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 2*l - 6*c - 11, 0 = 2*l - 3*c - 9. Let q(v) = -v**3 - 13*v**2 + 47*v - 13. Let r be q(-16). Solve 3*b - r*g - l = 0, 4 = 3*b - 2*g + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 15 - 10. Let w = -9.48 - 89.82. Let s = -99 - w. Which is the nearest to 2? (a) s (b) 2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6147, -12293, -18439, -24585, -30731?\nAnswer: -36877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) be the first derivative of -x**3\/3 + 3*x**2\/2 + 3546. Suppose -3*r - 9 = -6*r. Suppose y + 14 = 5*v - 9, r*v = -3*y + 3. Calculate i(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -20 - 238*u**2 + 119*u**2 + 12*u + u**3 + 107*u**2. What is m(11)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18011 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 450 - 4\/(-8)*-4. Suppose 2*l - 2*t + u = 4*l, 4*t + 229 = l. What is the highest common factor of 25 and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -6*t**2 + 3*t + 6. Let a be m(-4). Calculate the common denominator of 22\/(-33)*a\/(-32) and ((-52)\/(-72))\/(1\/(-8)).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3336 and 11578422.\nAnswer: 834","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2786781596 is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -13. Let x be (3\/(-5) - 0)\/(2\/(-10)). Sort x, -5, i in decreasing order.\nAnswer: i, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30*h + 18*h - 13*h + (3 - 2*h - 3)*(0 - 2 + 3) - h - h + 3*h)*(2*h**2 + 3*h**2 - 4*h**2).\nAnswer: 34*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = -5*a - 30. Calculate the common denominator of -43\/27 and (36\/45)\/(a\/(-170)).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -43 - -52. Suppose -o*l = -3*l - 18. Factor 5*s**5 - 9*s**3 - 15*s**2 - 18*s**4 + 8*s**4 - 26*s**l - 5*s**2.\nAnswer: 5*s**2*(s - 4)*(s + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 7 = 2*b - 11, -3*b + 2*r + 19 = 0. Suppose 5*w = -3*q - 5 + 24, b*q - 17 = -w. Solve 0*d = q*d - 5*a - 34, -a = 5*d - 10 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(84)*1)\/(-2*sqrt(343)))\/(3*sqrt(196)*-1*-5).\nAnswer: -sqrt(3)\/490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 76*s**2 - 261*s**2 + 45*s + 186*s**2 - 45*s.\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2529 (base 11) to base 16.\nAnswer: ce2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 120a9 (base 14) to base 9\nAnswer: 66377","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -2*g**2. Let z(q) = 2*q**2 - 2*q**2 + 3 - q**2 - 5*q. Let b be z(-5). Let y(s) = -4 + 4 + b*s**2. Determine n(y(m)).\nAnswer: -18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 11 - 8. Is j + (6\/(-3) - -86) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -815330 divided by 407665?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-3) + 1 - 2\/2. Let g be u\/((-9)\/12 + (1 - 1)). What is the closest to 0 in -1\/3, -1\/23, g?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2441, 4888, 7337, 9788, 12241, 14696?\nAnswer: 17153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 AM and 3:59 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 c when two letters picked without replacement from rrrjcuuccuvjcac.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*b + 5*w - 5, -b - 2*w - 4 + 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/4)\/(25\/150). Let m(j) be the first derivative of 0*j**u - 3 + 1\/8*j**4 + 0*j**2 + 0*j + 1\/5*j**5. Determine c, given that m(c) = 0.\nAnswer: -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 7)*(0 + 6 + 1)*(2*t**5 - 4*t**5 + 4*t**5).\nAnswer: -70*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -434114 + 200012?\nAnswer: -234102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:04 AM and 3:26 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2972937, 2972939, 2972941, 2972943?\n\"Answer: 2*b + 2972935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -9*g**3 - 4*g**2 - 17*g. Let l(x) = 8*x - x**2 + 5*x**2 + 4*x**3 + x**2 - 3*x**2. Calculate 13*l(s) + 6*q(s).\nAnswer: -2*s**3 + 2*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -l + 18, -5*z - 2*l + 19 = l. Suppose 94 = -z*s + 119. Suppose -124 = -s*g + 3*g. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 2*v + 3*r + 10, v - 2*r + 1 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + -18020?\nAnswer: -18015","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7627 divided by 782.\nAnswer: 7627\/782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3243 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -323, -2, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a year in months?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ffv when three letters picked without replacement from {v: 1, f: 2, r: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + u = -2, 0*u + u + 6 = -3*m. Let o = m - 11. Let a be (-1)\/(-3) - (-4)\/o. Is a not equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(1331) + 2 + -1 - sqrt(1331)) + (2 + sqrt(1331) + sqrt(1331))*1*-1)**2*-6.\nAnswer: -31944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*y - 5*y - 18. Suppose y*n - 12*n + 30 = 0. Solve 0 = -2*z + 5 + n for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence twte when four letters picked without replacement from {e: 4, w: 1, t: 2, q: 2}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*w**3 - 5887*w**2 + 3*w**3 + 6156*w**2.\nAnswer: -w**3 + 269*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 0, -0.06, 2\/7, 3 in increasing order.\nAnswer: -17, -0.06, 0, 2\/7, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 4*z + 276, -7*h + 894*z = 899*z + 383 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 4*m**2 + m - 2. Let c be r(4). Find the second derivative of 20*v**2 - 28*v - 12*v**2 - 24*v**c wrt v.\nAnswer: -32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**5 - 48*j**4 - 90*j**3 - 44*j**2.\nAnswer: -2*j**2*(j + 1)**2*(j + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112.8336mg to grams.\nAnswer: 0.1128336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 191 = 38*n - 113 for n.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 112, 298, 484, 670?\n\"Answer: 186*h - 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - 374?\nAnswer: -374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u*u*u**(2\/7))**(-4\/5))**(1\/7))**(-4) assuming u is positive.\nAnswer: u**(256\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 924 (c) 733 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16842779 and 329?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eezzeevzeeuu. What is prob of picking 2 z?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) -20\/39 (b) -2 (c) -4\/9 (d) 0.2 (e) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -10, 8\/23, -1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9c - -16?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -b**3 + b**2 + b - 1. Let d be t(0). Let s = 25 - 24. Sort d, s, -2 in increasing order.\nAnswer: -2, d, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -9*b**2 + 4*b. Let l(s) = -5*s**2 - 5*s**2 + 2*s**2 + s + 3*s. Let j(n) = -6*i(n) + 5*l(n). Find the second derivative of j(p) wrt p.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -5*t - 3. Suppose -t*x = 6*x - 77. Calculate the remainder when 110 is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57 = 46*x + 126*x - 173*x + 25*q, q + 5 = -x for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1 - -2. Suppose 0 = 5*q + 571 + 219. Let i = -469\/3 - q. Which is the third biggest value? (a) i (b) j (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(12)*3)\/((sqrt(6) - sqrt(384))*-3).\nAnswer: sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) - (sqrt(3) - (sqrt(432) - (2 + sqrt(432))))) + 3 + sqrt(3) + 2*(sqrt(3) + sqrt(6)\/sqrt(2)) + 4)**2.\nAnswer: 50*sqrt(3) + 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1734926?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (14\/14)\/(-2*3\/18)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -12622.5 - 28739\nAnswer: -41361.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -788 minus 988754?\nAnswer: -989542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 20\/(-4)*119\/(-35). Solve -3*j + 5*m - 5 = 0, q = 5*j + 2*m - 4*m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.91 + 60.91. Let n = y + -58.01625. What is n rounded to three dps?\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1270884506 to the nearest integer?\nAnswer: 35649","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(44\/16 + -3). Sort 0.1, n, 57 in descending order.\nAnswer: 57, 0.1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -347020*d**2 + 1093213 - 1093213.\nAnswer: -347020*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49987 = -5733*x + 376768 for x.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the third derivative of -1\/120*h**6 - 1\/15*h**5 + 2*h**2 + 1\/12*h**4 + 12 + 0*h + h**3. Let l(g) = g - 10. Let m be l(6). Calculate c(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 7 + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 4*q**2 - 7*q + 7. Suppose 2*y - 6 = 0, -a = -4*y + 3*y. Suppose -a*j + 10 = -2*j. Calculate the remainder when o(6) is divided by j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 39*3\/(27\/6). What is the highest common factor of o and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkxk when four letters picked without replacement from {k: 4, x: 2, v: 5}.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14309 = 8*o - 6427. Is o a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**2 - 4*x + 2. Let o(j) = 104*j**2 + 4*j - 3. Let l(p) = -o(p) - y(p). Let u(s) = 5*s**2. Determine l(u(z)).\nAnswer: -2700*z**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*o**2 + 94*o**2 - 31*o**3)*(-o + o + 6*o).\nAnswer: -186*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 8 in 4\/5, -4\/7, -1.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -933, -1873, -2813?\nAnswer: -3753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -14.3, -0.3, 3, -4, -2\/23, 160?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 2, 0.1, 1, 1.5, 16, -8\/5, 217?\nAnswer: 217","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1675 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -24341631 (base 7) in base 14?\nAnswer: -409c18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -73. Solve 3 = -h - f for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7195457.\nAnswer: 7195457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 + -49 + (8 - 5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 291774 at most 291913?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7056 a multiple of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2550 by 1275.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -23*s**2 - 4*s + 49. Let n be h(5). Let c be (39\/n)\/((-1)\/7). Let c*u**3 - 3\/2*u**2 + 0 + u = 0. What is u?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 3973?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 490332828 a multiple of 2653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10000001111010 - -10101010000011?\nAnswer: 101000001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 420.21743 + -0.01743. What is i rounded to the nearest 10?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*c + 20*c - 9 = 0. Suppose 0*t - c*t = -2229. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 + 14*f - 46. Determine m(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 6 = 210. Let z = h + -11. Suppose -o + 2*s = -2*s - z, 3*s - 190 = -5*o. Does 24 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of 337 and -86942.\nAnswer: -29299454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*c = 20*c + 10 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 12, m: 1}. What is prob of sequence hhh?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -30*p - 1. Let f(h) = 6*h**2 + 4*h - 4. Let m = 313 + -320. Let c(n) = 10*n**2 + 7*n - 7. Let r(u) = m*f(u) + 4*c(u). Determine r(w(d)).\nAnswer: -1800*d**2 - 120*d - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 136*d - 403 - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 406, -5, -9917 in decreasing order.\nAnswer: 406, -5, -9917","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80013037?\nAnswer: 13, 73, 84313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 36310*z - 36315*z + 61, -5*z + 5*z = -0*z - z + 12*t - 139 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 - 2. Let g = -0.2 + 0.2. Which is the third smallest value? (a) d (b) 0.1 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 226876973 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19218 is divided by 1601.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cuccccucccc. What is prob of sequence uccu?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*i**3*u + 21193*i**3 + 1758*i**2*u wrt u?\nAnswer: 2*i**3 + 1758*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)\/f)**(-39)*(f**7)**16)**(-1\/19) assuming f is positive.\nAnswer: f**(-289\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2\/41 (b) -356\/7 (c) 7 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -s + 4, 0 = 2*m - 5*s + 5 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the second derivative of -l**3\/2 + l - 71. Let p(z) = 60*z. Let n(h) = -9*h + 15*h - 7*h. Let b(a) = -72*n(a) - p(a). What is d(b(g))?\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes after 3:31 AM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + -49. Solve -2*o - t + 1 = -0*o, -b = 4*o - 2*t for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16880155 divided by 3376031\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 3*k - 185 = -20177, 2*i = 4*k + 7976. Is 74 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -9 - ((4 - 3) + -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (5 + (sqrt(8)\/sqrt(4))**2 + (sqrt(2) - (sqrt(10)*-2)\/sqrt(5)) - (sqrt(2) + (sqrt(4)\/sqrt(2) + 3 + sqrt(2))**2 + 4*sqrt(128))).\nAnswer: -42*sqrt(2) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39 - -38)\/((-91)\/(-70)))\/(-5)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 + 860547*q**2 + 5 - 860544*q**2.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 60*b - 1347. Let d be v(23). What is the greatest common divisor of 3432 and d?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 2 - ((-1 - 23) + -3)?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 3*p**2 + 7*p + 12. Let t be a(-5). What is the common denominator of (-6)\/t - (-538)\/396 and 87\/14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14250 divided by 6\nAnswer: 2375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.2068 + -10.00887. Let b = u + 8.8. Round b to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 176*d**2 - 3*d + 122. Let m(r) = 173*r**2 - 4*r + 124. Let a(v) = 4*i(v) - 3*m(v). What is the first derivative of a(c) wrt c?\nAnswer: 370*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -731, -950, -1269, -1736, -2399?\nAnswer: -3306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -2*p + 31. Let t be r(17). Which is the fourth smallest value? (a) t (b) -2 (c) -16 (d) -1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 16 = 2*h. Let t be (1 - -14)\/(12\/8)*1. Suppose 3*j + g = -0*j - 7, -h*g + t = 0. Which is the second smallest value? (a) 0 (b) -0.1 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**3 + b**2 + 4*b + 6. Let w be a(-5). Suppose -5*x + 2*o + 2*o + 559 = 0, 3*x - 3*o - 333 = 0. Suppose -k + x = -w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/64 of a week?\nAnswer: 9450","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(-5)*t**(-2\/7)*t*t**(-1\/3)*t*t\/(t*t**(-7)) assuming t is positive.\nAnswer: t**(71\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(684))**2*-3 - sqrt(684)) + (sqrt(684)*-4 + 4)**2 - (-5 + 4 + sqrt(684)*-3 + 5).\nAnswer: -180*sqrt(19) + 2748","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 9 + -7. Let s = 170 + -208. Let u = s - -32. Which is the nearest to u? (a) -5 (b) z (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 314 is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 169314485 to the power of 1\/3, to the nearest integer?\nAnswer: 553","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**3 + 11*l**2 + l + 26. Suppose -4*m - 64 = 4*j, -j - j - 5*m - 47 = 0. What is the remainder when 58 is divided by k(j)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 105113484 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13*(-56)\/(-546))\/(((-3)\/18)\/1).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93287, 185188, 277103, 369038, 460999?\n\"Answer: f**3 + f**2 + 91891*f + 1394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - 1) + -1 + (-9045)\/(-60). Let x = 144 - p. Is x not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of v**2\/2 - 11*v - 15. Let y be d(3). Let q(h) = -h**3 - 7*h**2 + 8*h - 4. Calculate q(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.6. Let v = 58 + -58.1. Let r = -13.4 - -13. What is the biggest value in v, r, n?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32 = 2*l - 44. Let q be (12\/9)\/(5\/((-45)\/(-6))). What is the remainder when l is divided by (q\/3)\/(1 - (-70)\/(-75))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9\/44 - 133\/220. What is the nearest to -4 in -0.06, 1, b, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60814 + 21786 = -7*y. What is y rounded to the nearest 1000?\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*x**5 + x**5 - 5*x**5 + (-5 + 2 + 2)*(-1 - 2 + 5)*(20*x**5 - 100*x**5 - 131*x**5).\nAnswer: 418*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 12 = 2*b. Suppose 6*l - 1263 = l + 3*m, -2*l + b*m + 494 = 0. List the prime factors of l.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*b**3 + 9415*b**2 - 4359635*b - 13163775 = 0. What is b?\nAnswer: -3, 835, 1051","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, v: 3, m: 5, d: 5, r: 3, f: 1}. Give prob of sequence md.\nAnswer: 25\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 17\/2 of a kilogram?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 13. Let k be t\/(-35) + 24\/(-14). Calculate the remainder when 35 - 3 - 1*k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69 minutes before 7:53 AM?\nAnswer: 6:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 6 = 0, 3*a - 10 = 4*b + 6*a. Let k = b - -4. Calculate the remainder when k is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.05 in -0.1, 269824, 7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 85*v**3 - 2 - 82*v**3.\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (58*(-4)\/(-8))\/1. Suppose -3*a = -b - v, -4*b = 28*a - 33*a + 46. Calculate the greatest common divisor of 190 and a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 409 + -332.6. Let o = 76 - b. What is the closest to -1\/4 in -4, o, 4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g + 17. Let r be u(7). Suppose -r*i - 20 = -7*i. Suppose 4*y - i*d = 699, 5*y - 304 - 606 = -d. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -83*h**3 - 6*h**2 + 8*h + 12. What is the tens digit of t(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 7 = -3*u - 10, 3*l = -2*u - 13. Sort 5, l, 1 in decreasing order.\nAnswer: 5, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 3 - 1 - 2*c - c. Let j = 43 - 45. Determine i(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1061 equal to 1059?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2012007112.\nAnswer: 2, 251500889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13 + 9 - 10)*(-2*k + 0 + 0)*(6 - 2 - 2)*(-2*k + 2*k + k).\nAnswer: 56*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7253 is divided by 261?\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/99, 0.5, -5 in decreasing order.\nAnswer: 0.5, 2\/99, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000369509462 to 7 dps.\nAnswer: 0.0000037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 139*o - 15 = 136*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31, 227, 577, 1081, 1739, 2551, 3517?\n\"Answer: 77*j**2 - 35*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 + 8*v + 66. Calculate n(-8).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.7537621 rounded to the nearest 10?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 26328, 25807, 25276, 24729, 24160, 23563?\n\"Answer: -k**3 + k**2 - 517*k + 26845","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (n - 2*n - n + (1 + 0 + 1)*(2*n - 2*n - n) + 5*n - 5 + 5 + (9*n - n + 4*n)*(1 - 1 + 2))*(2*n**2 + 0*n**2 + 4*n**2).\nAnswer: 150*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 14*q - 2475 = 0. Are q and 166 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.4, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2273 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 157 + -157.2. What is the nearest to -3\/10 in -2, 2\/3, u, -0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:37 AM and 7:15 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 8\/7 of a week?\nAnswer: 8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -535 < -6618?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/15*6\/10)\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 3 - 4)*(5 - z - 5) - 2 - 2*z + 9 - 10 + 3*z + 5*z - 6*z)*(3*z**3 - z + z).\nAnswer: -3*z**4 - 9*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -712 + 1108. Is 18 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -1235*f + 415. What is g(4)?\nAnswer: -4525","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -12*t + 1074. Let h be x(40). Solve -10*p - h = -624 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -880 + n**3 + 0*n**3 + n**2 + 41703028*n - 41703028*n to the form u*n**2 + q*n**3 + j + c*n and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17310 + -17313. Sort p, -2, -5, -36, 2 in decreasing order.\nAnswer: 2, -2, p, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11363 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 405\/((-502200)\/(-1984)) - 82\/(-5)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, s: 2, a: 7}. What is prob of picking 2 a?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Do -1738474 and -1738470 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 900\/(-144)*2\/15?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -23247, -92951, -209117, -371739, -580811?\n\"Answer: a**3 - 23237*a**2 - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3716, -7861, -11996, -16121, -20236?\nAnswer: -24341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4355070966?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1439 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -22.96 + 19.96. Sort 31, k, 3, 0 in descending order.\nAnswer: 31, 3, 0, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**2 + 8. What is z(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in 0.2, 74, -13?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 4*r + 28 = 0, 4*r - 28 = -3*u - 8 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11159 - -19512. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 362278 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 1\/6 (b) -1\/5 (c) 0.2 (d) 63 (e) 559\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p - 5*l - 16 - 5, -3*l = -3*p + 15. Solve -2*c - 3*r - 6 = -19, p*c + 17 = 3*r for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**4\/4 - 5*s**3\/3 - 15*s**2\/2 + s - 22. Let g be l(-5). Suppose -b = -98 + g. What is the tens digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79 (base 15) in base 12?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 2, d: 1, b: 2, m: 5, o: 4}. Give prob of picking 1 o and 1 b.\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24 - 912 = -312*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011101111110101111 - 0?\nAnswer: -1011101111110101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-27643)\/718*4\/(-11)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4365254mm in centimeters?\nAnswer: 0.04365254","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 8*b**2 - 11*b + 1. Let q be l(2). Let m be q\/(44\/(-20)) + (1 - -1). Let f(i) = i**3 + 2*i**2 + 5*i + 3. Calculate f(m).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 + 6. Let h = -0.16 + 2.16. Which is the closest to h? (a) -5 (b) p (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*r - 2*y - 4, 0 = 15*r + 3*y + 24 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*j**3 - 75 + 120*j - 24*j**3 - 18*j**2 + 57*j**4 - 60*j**4.\nAnswer: -3*(j - 1)**2*(j + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of u**2 - 2. Let w be 6 + 1 - 2\/(-1). Let f(p) = -9 + w - p. Give a(f(k)).\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 2*d + 404. Let g(l) = 14*l + 2425. Give 2*g(p) - 13*q(p).\nAnswer: 2*p - 402","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -57, -0.04, 46\/71, 0.1, 4 in descending order.\nAnswer: 4, 46\/71, 0.1, -0.04, -57","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 68 or 110?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (-111)\/296*48*24\/(-6)\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 35601.52507859.\nAnswer: 35602.02507859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4045 - 2f?\nAnswer: -4074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 + 9. Calculate the smallest common multiple of 3 - (l - 6\/(-2)) and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 22805\/8 + -2846. What is the common denominator of 35\/11 and g?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7060 * 7199\nAnswer: 50824940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i - 3*i + i)*(336*i - 336*i + 54*i**2).\nAnswer: 108*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -269 - -268.6. Which is the nearest to -5? (a) 4 (b) p (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2510a0 - -14?\nAnswer: 2510b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k*k**(-1))\/k**(-3))\/(k**(-1\/2)*k*k*(k**(6\/11)*k)\/k))**(3\/35))**25 assuming k is positive.\nAnswer: k**(45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -249*y = -406 + 12109 for y.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -31\/5*y - 6\/5*y**3 + 29\/5*y**2 - 6\/5 = 0.\nAnswer: -1\/6, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4438 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*z**2 + 6*z + 0*z - 10*z + (3*z**2 + 3*z**2 - 7*z**2)*(-2 - 1 + 2).\nAnswer: -z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 9*z = 2*z. Let t = 183169\/49212 + 1\/5468. What is the common denominator of -1 - z - 3\/(180\/(-184)) and t?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 33289?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -112c5 + -b?\nAnswer: -112d2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:06 PM and 9:02 AM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 238924 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 16 + -25. Let p(j) = -3 - 3 + 6 - 2 + 11*j. Let o(a) = 45*a - 9. Let q(l) = b*p(l) + 2*o(l). Let g(h) = -2*h. Determine q(g(s)).\nAnswer: 18*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205 by -3836.\nAnswer: -205\/3836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 3*v + 345, -2*z + 12*v - 14*v - 348 = 0. Let g = -15223\/86 - z. Suppose 0 = -2*f - 6 + 4. Which is greater: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 16 = -4. Let a(u) = 8*u**2 - 3*u - 4. Let f be a(n). Let o be ((-66)\/(-24))\/((-2)\/(-8)). Calculate the highest common factor of o and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -112 - -116. Suppose c + b*r = -4*c + 498, -3*c + 292 = -r. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b and 1 o when two letters picked without replacement from bbwxxogbbbbxxogbxb.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of x**5\/210 + x**4\/84 - 2*x**2 + x. Let z(o) be the first derivative of g(o). Find h such that z(h) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 153593186, 153593178, 153593158, 153593120, 153593058?\n\"Answer: -u**3 - u + 153593188","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00164389 rounded to five decimal places?\nAnswer: -0.00164","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*10800\/(-810) - -56.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 - 10*g + 28. Let o be y(-13). Let d = o - -13. Solve q = 3, q = d*b + 2*b + 19 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 11, h: 2}. Give prob of sequence hh.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205 = -2*c - 3*c - 5*h, -70 = -2*c + 2*h. Let j = 5 + -3. Suppose 16 = j*y - c. Calculate the remainder when y is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*w**2 + 2*w - 2*w + (4*w - 8*w - 6*w)*(5 + 1 + w - 4 - 2*w - w + 0*w + (5 - 3 - 3)*(4*w - 2*w - 3*w)).\nAnswer: 6*w**2 - 20*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29342.86 micrometers in millimeters?\nAnswer: 29.34286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00091034 to four decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 105 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -n + 5. Suppose -3*w - l + 3*l = -10, w + l = 0. Suppose 0 = -w*i - i - 27. Let r be u(i). Solve 2*h = 4*s + r, 11 = 5*s + 3*h + 45 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7\/4860 or 874?\nAnswer: -7\/4860","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 915 and 220?\nAnswer: 40260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - -20100120?\nAnswer: 20100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 200*f + 8646. Calculate r(-37).\nAnswer: 1246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g - 31 - 14 = 0. Let l = g - 11. Let w = -2 + l. Is w even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299809?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 0.2, 5, -6\/5, -1\/2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k = k - 273. Let g be (-26)\/k - 65\/7. Suppose 6*v + 16*v = -176. Which is greater: v or g?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -g - 17, 2*j - j - 10 = -5*g. Does 25 divide (j\/(-10))\/(1\/58)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {u: 7, l: 1, v: 6}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -998163 (base 13) to base 15.\nAnswer: -4b685c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 66657.13 rounded to the nearest ten thousand?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-24))**(-27\/2)\/(((f*f*f**(3\/4))\/f)\/f)**(3\/23) assuming f is positive.\nAnswer: f**(29799\/92)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*r + 36*m + 28, 5 = 463*m - 468*m for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 4*m = 0, 147*u - 7 = 144*u + 4*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*h - 8*h + 12 = 0. Let s(p) = -3*p + 6. List the prime factors of s(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1166.3*-2\nAnswer: 2332.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t - 6. Let m(a) = a**2 + a - 2. What is the lowest common multiple of m(t) and 2*-2*1\/(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**2 + 35388*c + 10735092 = 0. What is c?\nAnswer: -35082, -306","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -20.93 + 16. Let v = -0.07 + g. Which is bigger: 0.1 or v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 134857.753 rounded to the nearest 10?\nAnswer: 134860","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -75*q + 65*q + 80 = 0 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1077150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-12)\/(-10))\/((-10)\/(-25)). Solve 0*b - 15 = m*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5753 + 3853*w**3 + 3*w + 5753 - 3*w - 1714*w**2 wrt w?\nAnswer: 23118","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j + 0*j = 4*c - 1, 0 = -3*c - 4*j + 32. Let u be c\/8*22 + 2. Solve 0 = -3*d + 15, 3*l + 3*d = 34 - u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001851103 to seven dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 + 4*l**2 + 8*l - 7. Suppose -3*b - 5*h + 5 = 0, -b + 6*b - 23 = -h. Suppose -b*d = -0*d - 25. What is the remainder when 29 is divided by i(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 110132 - 110134. Let y = -6 - -5.6. Which is the closest to -0.4? (a) 1\/3 (b) y (c) l (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2969169964, 2969169963, 2969169962?\nAnswer: 2969169961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -1, 19\/5 in increasing order.\nAnswer: -19, -1, 19\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1 + 76\/(-110) + 2. Let q = p - -1\/11. Let r = 27 - 31. What is the third biggest value in r, q, 0?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (16\/(-28))\/((-3)\/42). Let c be (1\/(-15))\/((-4)\/m). Suppose -4*v = 12, 0 = -3*d - 3*v - v - 9. Is c less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -449*b = 127*b - 2880. Factor b + 17\/3*v + 1\/3*v**2 - 1\/3*v**3.\nAnswer: -(v - 5)*(v + 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.035 + -177.035. Let r = o - 80. Let b = r - -233.4. What is b rounded to zero dps?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - 538*h**2 + 7847*h - 20. Give r(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3364288376.\nAnswer: 2, 29, 1097, 13219","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1345555495 to the nearest integer?\nAnswer: 36682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 15*b**2 - 2*b - 36. Let h be k(-15). Let j be h\/2 - (-29 + -18). Calculate the highest common divisor of 11 and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.9741 times 791\nAnswer: -1561.5131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 4*d + 5. Let p be b(-5). Suppose p = 3*z + 8*f - 3*f - 28, 0 = -3*z - 2*f + 22. Let r(n) = 3 - 8*n + 1 + 3 - z. Give r(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (-3 + (-1*sqrt(243)*2)**2*5 + -1)*1.\nAnswer: 4857","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 765, 1032, 1299, 1566, 1833?\n\"Answer: 267*t + 498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 295504.1 and 1.56?\nAnswer: 460986.396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.28 - 0.18. Put p, 4\/3, -4, 2\/13 in descending order.\nAnswer: 4\/3, 2\/13, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7.04 + -0.04. Let d = t + -7.1. Let m = 1.96 - -0.04. Which is the second smallest value? (a) d (b) -5 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 34?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.933 + 4. Let z = -1.06700549 + n. Round z to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*l**2 - 5*l + 34*l**2 + 8*l**2 + 19*l**2 + 19*l**2.\nAnswer: 59*l**2 - 5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 586 minutes after 7:40 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -4 - 0 - -12 - 4. Solve -5*t + u + u + 25 = 0, -10 = -2*t + b*u for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -38*h**3 - 6*h**2 + 112*h + 8*h**2 - 31*h**3 + 68*h**3 - 3*h**2 + 220.\nAnswer: -(h - 11)*(h + 2)*(h + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/11)\/((-62)\/341*(-3)\/(-6))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 850 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3879 - 548 = 47*k - 1557 for k.\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 213224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the first derivative of -l**2 - 3*l + 2. What is the remainder when p(-8) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2*t**3 + 212*t**2 - 7824*t + 26. Calculate s(29).\nAnswer: 200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 1378 = -g + g. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*k - 4*v, -3*k - 3*v - 5 = -2*k. Let g be -14*2\/(-8) + (-15)\/(-10). Suppose 25 = g*n + 5*u, 0 = -k*n - u + 1 + 10. Solve -n*z = -5*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6595 + -23781. Round h to the nearest 100.\nAnswer: -17200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3 + 0.7. Let o = z - 2. Which is the second smallest value? (a) o (b) -1\/4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m + 1. Let s(b) = -18*b + 36. Let j(n) = 36*p(n) - s(n). Let u(i) = 2*i**3 - 11*i**2 - 8*i + 11. Let t be u(6). List the prime factors of j(t).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6291599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2130 is divided by 102.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -0.1 (c) 0.208\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 13797133 and 13797135 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 9*p. Let f be k(5). Suppose f = -r + 3*r. Suppose 2*s + r = 3*s. What are the prime factors of s?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-9\/5)*r*r\/(r**16\/r) assuming r is positive.\nAnswer: r**(-74\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j + 2*l - 32 - 28, 22 = -2*j + 3*l. Let x = j + 17. Suppose x = -4*t + 12, -o + t + 19 = 6*t. What is the least common multiple of o and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -110*a - 1947. What is the hundreds digit of k(-39)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1140195785?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 5\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-26764373)\/43229060 - (-3)\/((-126)\/4). Let q = c - 10\/4349. Find the common denominator of q and -43\/100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**3 + 13*j**2 + 18*j + 34. Let d be a(14). Let t = d + -86. Solve 0*m = -t*m + 4, 2*m + 18 = -4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q + 1. Calculate r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 52447 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3431 + 3433. Let o(n) be the second derivative of 0 + 1\/2*n**3 + 11\/12*n**4 + 0*n**p - 2*n. Find the second derivative of o(i) wrt i.\nAnswer: 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16.0302807s to weeks.\nAnswer: 0.00002650509375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 8*d. Let l(k) = -228*k - 262. What is v(l(f))?\nAnswer: -1824*f - 2096","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or -2370\/1003?\nAnswer: -2370\/1003","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*t + 102 = 4*o + 126, 4*t - 18 = o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12093 is divided by 1102?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -58 - (49 + -294 - -166)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -22*(-5 + -2 + 6). Let m = 47 - i. Is m a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 308 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p**2 + 18670428*p = 0. Calculate p.\nAnswer: 0, 4667607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m**2 - m**2 + 0*m**2)*(1 - 4 + 1)*(2*m + 0*m - m)*(-m**2 + m - m).\nAnswer: -4*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -5*h - 6. Is z(-15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1152640429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen halves of a year in months?\nAnswer: 78","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c - 17*z + 21*z - 10, -4*c = z + 7. Sort -2\/11, -1.1, 1\/6, c in descending order.\nAnswer: 1\/6, -2\/11, -1.1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 185650149 to the nearest integer?\nAnswer: 13625","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(-5) - (-518)\/35. Suppose 94 - 754 = -f*v. Suppose -55*z = -53*z - v. What is the greatest common divisor of 55 and z?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 15287*b - 28230 wrt b?\nAnswer: 15287","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 2*c**2. Let n(f) be the first derivative of 3*f**2 - 10. Calculate v(n(b)).\nAnswer: 72*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 1436088888?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 862355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4\/11 (b) -12 (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 - 8*u - 10. Let v be l(-5). Suppose n + x = -1 - 1, -v*n - 3*x - 16 = 0. Let s = n - -39. List the prime factors of s.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -29*v - 44*v + 16*v + (-46 + 17 + 9)*(-v + 2 - 2) to the form o + p*v and give p.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26664700 rounded to the nearest one million?\nAnswer: -27000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 497723 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3530*z**3 + 1 - 10882*z**3 + 3520*z**3 + 3853*z**3.\nAnswer: 21*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 18 + 6. Calculate 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 are the prime factors of 24856?\nAnswer: 2, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + -15 + -12 + 9?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 - 4*m**2 - 2*m + 1. Let w(r) = 2*r**3 + 3*r**2 + 2*r - 1. What is 4*k(x) + 5*w(x)?\nAnswer: 2*x**3 - x**2 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 661 is divided by 440.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -3*k. Let y(a) = 3*a - 2*a + a + 3*a. Calculate m(y(d)).\nAnswer: -15*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.3 + -0.3. Let x = 0.03 - -1.37. Let q = x - g. Put q, -4, 3\/7 in decreasing order.\nAnswer: q, 3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -f**2 - 5*f + 6. Let o be p(-5). Let w(c) = -c**3 + 7*c**2 - 8*c + 2. Calculate w(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102528569\/70 - -7362446\/5. Suppose 15600 = 2*g + 2*d, -3*d + 0*d - 15605 = -2*g. Let m = l - g. Find the common denominator of m and 89\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15925 (base 12) to base 6.\nAnswer: 354045","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -5*i**2 - 2*i + 3. Let s(w) = 26*w**2 + 10*w - 16. Determine 2*s(d) + 11*v(d).\nAnswer: -3*d**2 - 2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 2, -3, -5, 18, 7, 3311.\nAnswer: -5, -4, -3, 2, 7, 18, 3311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -1 - 151*n + 161*n + 1. Suppose 84 = 8*w - 2*w. Let f(c) = -9 - w - 3*c**2 + 23. What is y(f(u))?\nAnswer: -30*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -10. Let t(d) = -4*d + 5*d**2 + 0*d**2 + 6 - 2*d**2 - 4*d**u. Give t(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2859 is divided by 712?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 2}. Give prob of sequence bc.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8124 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/192 and -101\/48?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87169 - 3486811\/40. What is the common denominator of k and (-309)\/(-360) - (-1)\/(-3)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/17, -3, 1\/3.\nAnswer: -3, 2\/17, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**2 - 4*f**2 + 0*f**2 + 0*f**2.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1022922067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (58 - 138*x - 58)*(-3 - 5 + 6 - 1 + 0 - 1 + (-1 + 0 + 0)*(0 + 2 - 1)).\nAnswer: 690*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -3, 273, 0.5048?\nAnswer: 0.5048","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -261.9456.\nAnswer: 261.9756","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1914, -1946, -2008, -2106, -2246, -2434, -2676?\n\"Answer: -p**3 - 9*p**2 + 2*p - 1906","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2593\/995 or -3?\nAnswer: -2593\/995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 237*u + 1206 + 927 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 63, 27, 735, -4 in descending order.\nAnswer: 735, 63, 27, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4*(-6)\/(-12)*(-15)\/(-6). What is the remainder when i\/4 + 1\/(-4) + 121 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 354, 705, 1058, 1413, 1770?\nAnswer: 2129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - h = 0, -2*h = -4*p - p + 15. Let o = -3 + p. Differentiate o - s - 4*s**2 + s with respect to s.\nAnswer: -8*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -779 + 333. Let q = -446 - k. Solve 8 = -4*r, -2*v = -q*v + 3*r + 8 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 64 is divided by (9 - -4)\/(2\/2).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16 + -0.24911\nAnswer: -16.24911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -286*z + 143 + 2*z**2 + 185*z + 96*z to the form a + p*z + v*z**2 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = 46*j - 30 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -10 + 12*a - 2 - 1 - 72*a**2 + 73*a**2. Let s be u(-13). Solve 5*h = -k - 26, 2*h - 5*k + 5 + s = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -14*k**2 - 8*k - 9. Let u(o) = 5*o**2 + 3*o + 3. Let h(f) = -6*b(f) - 17*u(f). Suppose -11*g + 13 + 9 = 0. What is h(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1449261806 to the nearest integer?\nAnswer: 1132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13, 58, 135, 244, 385, 558?\nAnswer: 763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + y - 21*y**3 + 34*y**3 - y - 10*y**3.\nAnswer: 3*y**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3339 to the power of 1\/3, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 85640.08t?\nAnswer: 85640080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.19 - -0.190027. What is h rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4762*y + 47731. Calculate z(-10).\nAnswer: 111","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - 0) + 2*15\/(-65). Let g = r + 101\/78. Find the common denominator of -115\/18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -39950274*i + 42133119 wrt i.\nAnswer: -39950274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3.099064 - 0.\nAnswer: 3.099064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 4*i - 237 = 0, 0 = -i - 6 + 4. What is the highest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.608042 to two dps.\nAnswer: -0.61","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*k + 90*k - 186*k.\nAnswer: -k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1577 divided by -5.\nAnswer: 1577\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 470765365 to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1034 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91 = 33*u - 4*i + 19, 135*u - 28 = 138*u - 2*i for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 32 + -14. Suppose -2*g + o = g. Suppose -2 = g*f - 7*f. Solve -10 = -f*w, 4*q - 4*w + w + 19 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 134306162 to the nearest integer?\nAnswer: 11589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + 1. Let l(r) = -2*r - 2 - 3 + c*r. Determine l(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -110788.256568 + 110789. Let l = p + -1.10343135. Let f = 0.36 + l. What is f rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m**(-3\/2)*(m\/(m*m*(m\/m**0)\/m*m*m))\/m)**(-27\/5)*m*m**3*m\/m**(-2\/3)*(m*m**1)**(-3\/10) assuming m is positive.\nAnswer: m**(881\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 31*v + 34. Give t(3).\nAnswer: 127","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*i - 5*h + 152 = 0, 0 = 3*i - 605*h + 602*h + 72 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15838457 or -15838459?\nAnswer: -15838459","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 10 = 3*c. Suppose 3*t = -1 + c. Let j be (t\/(-12))\/((-9)\/12). Is 1\/3 bigger than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h + 68*l - 28 = 64*l, -4*l = -3*h - 28 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 17*u - 21*u = 3, -4*v - 16*v - 39 = -7*u for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -52*q - 41*q - 102*q + 24*q - 42*q.\nAnswer: -213*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Product of 755 and -0.0842.\nAnswer: -63.571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 143\/1120 and 41\/20.\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -364 - 1?\nAnswer: -365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2 - 9*h + 2. Let c be f(-9). Suppose -6 = -y - c*y. Let d(g) = y + 41*g - 2 - 44*g. Let a(x) = 5*x. What is d(a(n))?\nAnswer: -15*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + 1167960963116?\nAnswer: 1167960963196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1099 or 2\/35?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s - 23 = -5*w, -3*w = 2*s - s - 17. Suppose 1 = -s*y + 3. Let u(k) = 3*k**2 + k. List the prime factors of u(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22.984423189 + -1.8?\nAnswer: -24.784423189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -235*i - 2056 = -5111 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 6495*h - 6492*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 4)*(-5 + 8 + 8)*(748*c - 374*c - 378*c - 536) - 2*c + 1 - 1 to the form k*c + u and give u.\nAnswer: -11792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 982.4 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are -29 and 163485 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4186)\/46 - 454471\/(-4995).\nAnswer: -2\/135","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 6 = -4*f. Let o(n) = -n**2 - 5*n + 8. Let l be o(-6). Solve -4*r + f*r = -2*w + 12, 5*r + l*w = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4, -1 in decreasing order.\nAnswer: 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0005736 to 4 decimal places.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 693140 is divided by 5182.\nAnswer: 3934","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 642\/5 + -128. Let o(t) be the first derivative of 0*t**3 - 2*t + 0*t**4 + 1 + 0*t**2 - u*t**5. Differentiate o(s) with respect to s.\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37449 is divided by 12475?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 37809, 37699, 37589, 37479, 37369?\n\"Answer: -110*f + 37919","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11310830*g*o**2 - 331*g*o - g + 1851 wrt o.\nAnswer: 22621660*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 20579513 to the power of 1\/4, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9717*j + 222052 + 219875 + 150810 for j.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1379937?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -22 - (-273 + 246) - -21\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*c**2 + 9665*c - 1011210.\nAnswer: -5*(c - 1822)*(c - 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10643?\nAnswer: 29, 367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - 9*o**2 - 8*o - 15. Let p be d(10). Let q = -2 - -5. Let a = 61\/5 - 539\/45. Put p, q, a, 0.3 in increasing order.\nAnswer: a, 0.3, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2 - 2 + 21*o**2 - 9*o**2 - 13*o**2. Let n(q) = 26*q**2. Determine 13*b(f) + n(f).\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 706 minutes before 4:20 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -6*z**3 - 13*z**2 + 15009*z + 1665. Determine m(49).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2160) - sqrt(60)) + sqrt(60)*-1*-4)\/((1*sqrt(18)*2)\/(sqrt(48)\/sqrt(2))).\nAnswer: 18*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -2*c**3 + 6*c**2 + 3*c - 13. Give r(6).\nAnswer: -211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*x**5 - 37824*x**4 + 89453668*x**3 - 178000008*x**2 - 1786654736*x - 2145074784 = 0 for x.\nAnswer: -2, 6, 4727","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3593423 is divided by 513334?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = j - 33, 65 = -100212*h + 100217*h + 5*j for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7185*b - 5834215. Give q(-812).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -29*k**5 + 2838*k**4 + 7891116*k**2 wrt k?\nAnswer: -1740*k**2 + 68112*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 393284805 - 430*n + 433*n - 393284805.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/3 (b) -2\/11 (c) -1.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.5259 to two dps.\nAnswer: 4.53","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 209 minutes after 12:53 PM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 - 84*z**4 + 882*z**3.\nAnswer: 2*z**3*(z - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 302 minutes before 12:26 PM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 2*p**2 + 12*p + 27. Let t be g(-11). Let y = -118 + t. Solve -m = 3*a, 4*a - 4*m = m + y for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - ((-489 - -494) + (-1 - (-1 + 32 + -1)))?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*r + 4*r + 5*m + 60 = -0*r, -161*r + 3*m + 1215 = 4447 for r.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, 0, 0.5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 21076?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = w**2 + 136*w + 1614. Let n be k(-13). Solve 20 = -n*r + 95 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8*66.13\nAnswer: 529.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 172432 (base 8) in base 12?\nAnswer: 3038a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - r + 6*r = 0, 0 = 2*i + 5*r - 21. Let d = -6 - -10. Solve -c = 3*o - d, i*c + 6 = 4*o - 7*o for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve m**2 + 12536*m - 87801 = 0.\nAnswer: -12543, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*z + 2*z = -3*b + 553, -b - 5*z + 171 = 0. Suppose -20 = -5*o, 3*o = 3*n - 2002 + b. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -31753 - -3?\nAnswer: -31750","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -4\/27 and 62\/1683.\nAnswer: 5049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1089 (base 10) in base 5?\nAnswer: 13324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of m**3\/3 - 9*m**2\/2 + 10*m - 4. Let l be q(8). Let o(w) = l*w + 5*w - 4*w - w. Let h(s) = 13*s**2. What is h(o(n))?\nAnswer: 52*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 - (0 + 1)) + (-31 - 19) + 34.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*f + 36 = 10 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18216040?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 515, 761, 1027, 1319?\nAnswer: 1643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386396.\nAnswer: 2, 29, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by (2\/(-7))\/((-9 - -18)\/(-1953)).\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, x: 5, w: 3, q: 4, f: 2}. What is prob of sequence xfqx?\nAnswer: 5\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.001173 rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t*t**4)**(-3)*(t\/t**(-2\/17)*t)\/(t*t**(-3\/10)*t))**34 assuming t is positive.\nAnswer: t**(-2989\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 2 = -0*n - s, 0 = 4*n - 4*s - 8. Let o(t) be the third derivative of n*t + 0 + 1\/12*t**3 + 1\/120*t**5 - 2*t**2 + 1\/24*t**4. Factor o(a).\nAnswer: (a + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15\/225 + 94\/(-60)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -4*i - 19, 3568 = -y - 5*i + 3547 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 111011010000001 (base 2) in base 13?\nAnswer: 10a68","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8306951 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 634 is divided by 204.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 76213, -3, 55 in decreasing order.\nAnswer: 76213, 55, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2 + 0)*(-4*g + 2*g + g)*(-24*g**3 - 16*g**3 + 6*g - 632575 + 632572).\nAnswer: 80*g**4 - 12*g**2 + 6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) + (-2*sqrt(700) + sqrt(700))*5)*-2 + 3)*2.\nAnswer: 6 + 160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*d + 4*d - 2*d)*(5*d**2 - d**2 - 3*d**2).\nAnswer: -d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 372*c**2 + 52*c - 74. List the prime factors of r(9).\nAnswer: 2, 15263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 75 = 6*z. Suppose 0 = -2*v + 1 + 29. What is the greatest common divisor of z and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 159166704 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 321928055 to the power of 1\/3, to the nearest integer?\nAnswer: 685","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(500) + (((sqrt(500) - (sqrt(500) + 0)) + sqrt(500))*5)**2 - ((-1 + sqrt(500) + -5 + sqrt(500))**2 - sqrt(500))) + (2*-5*(1 + 1*sqrt(500)))**2.\nAnswer: 2260*sqrt(5) + 60564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 5*h = 16. Let x(j) = -9*j - 14 + h*j - j. Let n be x(-14). What is the highest common factor of 10 and n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2759411?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 2*l - 36, y - 47 = -4*l + 15. Suppose 29 + 126 = 5*k. What is the remainder when k is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.5? (a) -2 (b) -0.1 (c) -0.5 (d) -87\/2 (e) -316\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 158482 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84 = -25*v + 116 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 546153331?\nAnswer: 23, 23745797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = 28*p - 373. Let o(y) = 3*y**2 + 3*y - 4. Calculate the remainder when o(4) is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8965 + 27164. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3040.117 - -3179.95. Let b = 103 - -37. Let u = b - v. Round u to two decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7768 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -126*r**2 - 19*r - 15. Let g(n) = -63*n**2 - 11*n - 8. Give -5*g(d) + 3*h(d).\nAnswer: -63*d**2 - 2*d - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + -8613.\nAnswer: -8612.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20460 by 6820.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000092727 to 7 decimal places.\nAnswer: 0.0000927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 164009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + 3)*-1 - sqrt(13))*-2 - (5*(sqrt(13) - (sqrt(117) - sqrt(117)*-6)))**2.\nAnswer: -129994 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 8214440 divided by 4\nAnswer: 2053610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (15\/21)\/((11\/77)\/1). Solve -u*h + 4 = -1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8741 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 487 + -157. Suppose 3*j - 4*g - q = 0, -162 = 5*j - g - 695. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) be the third derivative of 7*f**5\/60 + f**2. Let d(o) be the first derivative of -o**2 + 5. What is m(d(r))?\nAnswer: 28*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 8 or 1123\/145?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 + 3. Let c = 16 + i. Differentiate 3 - 12 - 11 + 0 - c*t**2 with respect to t.\nAnswer: -30*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 187962778?\nAnswer: 2, 17, 41, 134837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -7*w**3 - 4*w**2 + 2*w + 3. Let o(q) = -20*q**3 - 14*q**2 + 7*q + 8. Give 7*m(u) - 2*o(u).\nAnswer: -9*u**3 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 228784021 to the power of 1\/3, to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37.2953363688 - 2.\nAnswer: 35.2953363688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 197235 and 315576?\nAnswer: 1577880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-189)\/(-735)*-7*1*-5\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1 - ((0 - 1) + -4). Suppose -5*b + 176 = -n*w, -b - b = -3*w - 69. What are the prime factors of 549\/b - 1\/4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3*20\/12*(1 - 0). Solve v = n*v - 12 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-32)\/12)\/((-6)\/585).\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 9:15 PM?\nAnswer: 7:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -3*f - 21, 0*c - 3*f + 19 = 5*c. Suppose -5*o + c = -60. Is o a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of -a**6\/30 + 3*a**4\/2 + 16*a**3\/3 + 15*a**2\/2 + 143*a. Let x(v) = 0. What is v?\nAnswer: -3, -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 5*t - 50 = 0, 0 = -3*u + 2*u + 4*t + 25. Suppose u*o = 17*o - 40. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -112*d + d**3 + 129*d - 16*d - 6*d**2 - 10. What is g(6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/2 (b) 0.4 (c) 3 (d) -62 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**3 - 25*k**2 - 36*k - 123. Give a(14).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 652 - 2201 - 15*y + 685 + 736. Give s(-8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 44 + 54cb?\nAnswer: 5520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 8.2583685us?\nAnswer: 0.00000000229399125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 345764 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -12 in 581, 0.05, 0.8, -0.3, 35?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, u: 5}. Give prob of sequence uu.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -6*m**2 + 13*m. Let o(a) = -a - 1. Let z(j) = -6*o(j) - r(j). Let s be z(4). Round s to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*q - n, -10 = -2*q + 4*q + 3*n. Suppose 2*i + 1 = -q. Is -1\/4 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -32 = -16*r + 8*r. Suppose -4*a = -s + 54 + 97, r*s = -2*a + 694. Is 19 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 88 and 2860.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 40 - 27. Let t = -29 + 32. Suppose 3*p + 4*g = 36, 0 = -t*p + 5*g + c - 4. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -6*h - 72. Let j be d(-14). Suppose -18 = z + 5*x, 4*z - 7*x + j = -12*x. Solve -2 = -z*i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (164 - 164 + 3*k**2)*(7 - 7 + 2).\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 6:16 PM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, m: 1, x: 1}. Give prob of sequence mx.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (((sqrt(288) + (sqrt(288) - (-2*sqrt(288) + -1)))*5)**2 - (-2 + (0 + sqrt(288))**2*2 + sqrt(288)))*2).\nAnswer: 28656*sqrt(2) + 1375818","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnntttntn. What is prob of picking 1 n and 3 t?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 5*m + 1. Let f(s) = s**2 + 2*s - 1. Let n = -793 - -789. Give n*k(a) - 10*f(a).\nAnswer: 2*a**2 + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-61)\/(-4) - 4\/16. Let p be z\/(-6) + 4 + -1. Is p >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2)*(-2*i - 4*i + 5*i) + 5*i - 5*i - i + 3 - 3 + i)*(-6142*i + 3*i**3 - 4*i**3 + 6185*i).\nAnswer: 2*i**4 - 86*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3390 and 360.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 991 = -3*j, 0 = -3*j - 4*b + 1391 - 445. Suppose -15*v + 248 = -j. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 4*a**2 + 2*a - 69. What are the prime factors of y(-9)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r**4 - 678*r**3 - 8433*r**2 - 26838*r = 0 for r.\nAnswer: -213, -7, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 10*q - 17. What is the remainder when 57 is divided by y(4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*b**3*i*v**2 - 74*b**3*i*v - 181*b**3*i + b**2 - 24930*b*v - 5*i*v**2 - 2*v**2 wrt b?\nAnswer: -12*i*v**2 - 444*i*v - 1086*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = w + 4*b, -40 = -4*w - 4*b - 68. Let p = -9895\/21 + 471. Find the common denominator of (6\/132)\/(-2*w\/152) and p.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 12 = 5*c, -3*c = 5*a - 0*a - 22 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 81709 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5721?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000003650085144 rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78352300 is divided by 2796.\nAnswer: 2788","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 3*g**2 - 6*g + 36. Let a(j) = 4*j**2 - 15*j + 74. Let x(w) = -3*a(w) + 5*b(w). Factor x(r).\nAnswer: 3*(r - 2)*(r + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(1500) - sqrt(1500))\/sqrt(4))\/((sqrt(27) - (sqrt(27) + (-1*sqrt(324))\/sqrt(12)))\/sqrt(9)).\nAnswer: -25*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and (15\/10)\/(3 - (-123)\/(-42))?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 14) in base 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 0.422984\nAnswer: 0.0845968","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) 0 (d) 2\/9381 (e) -0.117 (f) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23 or 16537094?\nAnswer: 16537094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/(-108))\/(16\/72)?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**2 - 5722910*h + 11445828.\nAnswer: -2*(h - 2)*(h + 2861457)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 - 1.94. Let s = h + -0.46. Let a = 52.08 - 51.58. What is the second smallest value in s, a, 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + f - 84 = 3*o, 0 = -4*o + 5*f - 77. Let t = o + 38. Suppose -t = -7*b + 2*b. Solve 2*i - 5 + b = -r, 4*r = 5*i + 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 440 = -4*t, -2*t = 2*u - u - 235. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 816 > 855?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j - 4*w = w, -w + 14 = -5*j - 6 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -54 + 62. Let u(f) = f**2 - 9*f + 3. Calculate u(g).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = -3*y. Let l be 6*y*3\/(-18). Let u be (1980\/(-700))\/((-12)\/40) + -9. What is the second biggest value in l, 3\/4, u?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6b872 - -2?\nAnswer: 6b874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115097940 and 51154640.\nAnswer: 460391760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49551301.\nAnswer: 47, 709, 1487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 84*(1 + (-21801)\/2). Let s = g - 2544887. Let t = s - -9760445. Round t to the nearest one million.\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4960676056 to the nearest integer?\nAnswer: 1705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w**3 - 13*w**2 - 13*w - 7. Let l be k(-12). Suppose 2*v + 4*n - 38 = v, 305 = l*v - 3*n. Is v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39807 and 15016085.\nAnswer: 4423","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6b (base 15) to base 9.\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/7*p + 5\/7*p**2 - 3\/7*p**3 - 1\/7.\nAnswer: -(p - 1)**2*(3*p + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 17. Suppose -12*x = -b*x - 6. What are the prime factors of (128\/x + -3)*-1?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + 116*l - 1480. Calculate i(-127).\nAnswer: -83","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 63, 184, 385, 672, 1051, 1528, 2109?\n\"Answer: h**3 + 34*h**2 + 12*h + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 137207329 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -0*h + 10. Suppose -253 + 68 = -h*x. Suppose -115*j - 3571 = -12081. What is the greatest common factor of x and j?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -14941, -59760, -134451, -239008, -373425, -537696, -731815, -955776?\n\"Answer: o**3 - 14942*o**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.74353519 to two dps.\nAnswer: -2.74","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Differentiate b**3*v - 210*b**3 - 79*b**2*v with respect to v.\nAnswer: b**3 - 79*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 + 13. Let f = -0.3 + 2.3. Let q = 2.5 - f. What is the second smallest value in q, a, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.08*-10827466.\nAnswer: 866197.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bwwbbbbbwwbbbbbbbbbb. Give prob of sequence bww.\nAnswer: 8\/285","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do -21 and -20 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -5*m**2 + 1. Let j(a) = -6*a**2 + a + 2. Let x(f) = 3*b(f) - 2*j(f). Let k(s) = 7*s**2 + 4*s + 2. What is -2*k(g) - 5*x(g)?\nAnswer: g**2 + 2*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28 + -21. Let f be m\/2 + (-5)\/10. Suppose r - 21 = -f*s, 0*r = -2*s - r + 14. What is the highest common divisor of s and 28?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 245 + -93. Suppose 7*x - 5*x - 46 = 4*v, -4*x - 4*v + w = 0. Solve 3*d = -3*b - 2*d + 19, 0 = -4*b + 5*d - x for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 - 57 = r. Suppose p - r = -21. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 4*b**2\/5 - 2868*b\/5 + 2864\/5 = 0.\nAnswer: 1, 716","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2025)*1)\/sqrt(5) - (sqrt(120)\/sqrt(27))\/sqrt(8)) + -5.\nAnswer: -5 + 26*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = x**2 + 2*x - 6. Let f = -13 + 8. Calculate the least common multiple of w(f) and 4\/6 - 3*2\/(-18).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 91\/36 and -73\/42.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12.1 + -12. Let g = r - -0.3. Let o = -0.07 + 0.27. What is the nearest to o in 2, g, -0.1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -18, -12\/5, 2\/13, 0.4, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057 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 f(q) = q**3 + 204*q**2 - 1362*q - 21418. Calculate f(-210).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 215 or -1?\nAnswer: 215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**4 + 216*l**2 wrt l?\nAnswer: 24*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -9*z - 15. Let p be m(-5). Let o = p - 28. What is the third derivative of -5*h**5 - 10*h**o + 5*h**5 - 5*h**6 - 8*h**6 wrt h?\nAnswer: -1560*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + (-18 - -1) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*m + 2*o + 14, 2*o = -5*m + 8*m + 14 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511 divided by -1.\nAnswer: 511","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 532 = 2*t, 3*y = -7*t + 12*t - 1288. Let z = t - -294. List the prime factors of z.\nAnswer: 2, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**2 + 3*w + 3. Let o(y) = 6*y**2 + 2*y + 4. Let a(d) = 2*f(d) - 3*o(d). What is the derivative of a(c) wrt c?\nAnswer: -16*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720)\/(sqrt(132)\/((sqrt(11) - sqrt(22)\/sqrt(2)) + sqrt(11))))\/((-1*sqrt(432) - sqrt(432))*4) + 0.\nAnswer: -sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 374110 to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -366843*a**3 - a**2 - 5*a - 5737951 with respect to a.\nAnswer: -1100529*a**2 - 2*a - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:17 PM and 12:54 AM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54*v - 14*v + 3*g = 485, -5 = 2*v - g + 7 + 5 for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b - 1. Suppose -20 = 5*a, -2*a + 14 = 4*m - 22. Calculate the remainder when 29 is divided by n(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 2. Let w be f(2). Put 3, w, -5 in ascending order.\nAnswer: -5, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 23876?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 3*q + 12. Let o(s) = 124*s + 21. Let d(h) = -o(h) + 2*t(h). What is d(-1)?\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:10 PM and 9:14 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let -c**5\/2 - 51901*c**4\/2 - 336830984*c**3 - 3029999834*c**2 - 8078754128*c - 5385559328 = 0. Calculate c.\nAnswer: -25946, -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3*(sqrt(242)*2 - sqrt(242)) - (0 + -2*sqrt(242))) + 3*((sqrt(242) + 5)*-6 + sqrt(242)))*-6)**2.\nAnswer: 1140480*sqrt(2) + 2521872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z - 2*z + z)*(5*z**3 - 8*z**3 + 5*z**3 - 17).\nAnswer: 2*z**4 - 17*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -292*h + 163*h - 864 = -33*h. Let v(w) = -5 + 0 + 2 - w. Give v(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**2 - 9*y + 8. Let a be i(8). Suppose 4*p - 15 = -p - 5*t, 5*p - t - 21 = a. Suppose 5*d = 4*d. Solve d = 2*v - 6*v - p for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32\/5 of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/5, -4\/17, 2, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**3 + 24*k**2 - 2*k + 52. Let t be s(24). Suppose -4*j - 43 = v - 2*v, -t*j + 11 = v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.4, -22, -0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 173457 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2 + 6 = 0. Let j(v) = v**3 + v + 2. Let i be j(n). Solve -4*a + 5*r = 3*r, -i = 3*r for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**0*k**1*(k**(-1))**(-2\/31) assuming k is positive.\nAnswer: k**(33\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1187469 + 0.4.\nAnswer: 0.5187469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -594.2 at least as big as 27?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3345680?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.064 - -3.236. Let h = -935 - -932.7. Let z = h + j. Which is the smallest value? (a) z (b) -0.3 (c) -5\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*((-3*-5*sqrt(77) + sqrt(77))\/sqrt(11) + 0 + (-2*sqrt(7))**2 + (sqrt(140)\/sqrt(5))\/sqrt(4)).\nAnswer: -68*sqrt(7) - 112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 334 - 1345\/4. Calculate the common denominator of y and 46\/20*-2*(-12)\/(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -12\/7? (a) -2\/5 (b) -1\/2 (c) 5\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4752*x + 4*f = -4748*x + 56, -x - 4*f = -6 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**3\/9 + 16276*s**2\/9 - 39904312*s\/9 + 26019686960\/9 = 0. Calculate s.\nAnswer: 1030, 3554","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dd when two letters picked without replacement from bbpjdrvjvvrrvdbvrvj?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - 222?\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 25\/2 of a gram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1010 (base 2) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 11\/3 + -1. Find n such that -8\/3*n + 2\/3 + 4*n**2 + 2\/3*n**4 - s*n**3 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-2\/5))**(-17)\/((j\/(j\/(j*j\/(j*j**(-2\/23)))*j*j))\/(j\/j**(-2\/11))))**(6\/11) assuming j is positive.\nAnswer: j**(67512\/13915)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, -13, 195470, 0 in increasing order.\nAnswer: -13, -4, 0, 1, 195470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-21)\/3 - (-429)\/65. Put -14\/3, y, -3\/5 in descending order.\nAnswer: y, -3\/5, -14\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -164*k**4 + 3*k**3 + 604*k**2?\nAnswer: -3936*k + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 148 = 4*c - 165, 5*q - 34 = -3*c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r**2\/7 + 227868*r\/7 + 2163492726\/7 = 0. Calculate r.\nAnswer: -18989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -15, -5*b + 3*t = 5 + 6. Let p = b + 6. Let f(u) = u + 8. Let c be f(-6). Calculate the greatest common factor of c and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**4 + 9232*p**3 + 74032*p**2 + 185216*p + 148224 = 0.\nAnswer: -4, -2, 2316","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-eight thirds of a year?\nAnswer: 112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -10 (b) 0.3 (c) 1\/15 (d) -2\/9 (e) 16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 476980.318 to the nearest 100.\nAnswer: 477000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191201, -382419, -573637, -764855, -956073, -1147291?\nAnswer: -1338509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -47. Suppose -44 = -4*o - 4*v, 3*o - 2*v + 0*v = m. Solve 4*q + 12 = -3*h, -3*h + 16 = -o*h for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**3 - 5*u**2 - 5*u - 4. Let n = 289 + -314. Let d be 1*4\/(-5) + (-170)\/n. Determine z(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = -v, 5*q - 28 = 2*v + 7. Suppose 2*s - 6 = 0, -5*w - s + q = 1. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 30 and 28 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*s - 418 = 1212. Let k = s + 165. Solve -3 = -p - k for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than -23\/2260037?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 101 - 10110?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, -2, -0.5, -6 in decreasing order.\nAnswer: 0.2, -0.5, -1, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 3 - 2)*(2*g**3 + 44*g**3 - 24*g**3 - 2*g**3 - 2*g**3 + 3*g**3 + (2 + 3 - 6)*(-3 + 3 + 2*g**3)) in the form t + r*g**3 + x*g + f*g**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, 4, 3029 in decreasing order.\nAnswer: 3029, 4, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4617\/4 + 1147. Find the common denominator of c and (2\/(-24))\/(5\/261).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 290?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(13\/5)\/s**(18\/11)*(s*s*s**2)\/(s**(1\/6)\/s) assuming s is positive.\nAnswer: s**(1913\/330)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/20 - 13*m**4\/12 - 2*m**3 + 15*m**2 - m + 475. Calculate i(-12).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3625 - 7272?\nAnswer: -13117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + 1 + (-6)\/(-2). Let w be 1\/3 - (-25)\/15. Let g be -6*2*w\/(-8). Solve g = m - u for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47391 is divided by 11692.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -34 + 36. Let l be (-186)\/(-4) + (-9)\/(-6). Suppose 0 = y*v + l - 46. What is the closest to v in -1\/4, 2\/3, 0.2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -2, -63.073, 10, -0.2?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -4 + 45a23?\nAnswer: 45a1c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(sqrt(56)\/(sqrt(8) + (sqrt(8) - sqrt(200)) - sqrt(8))).\nAnswer: -4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**2 - 12*m - 4. Calculate u(-12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 118, -3, 2, 0.9, -1?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 508 is divided by 150?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -996771, -3987115, -8971033, -15948525, -24919591, -35884231, -48842445?\n\"Answer: -996787*f**2 + 17*f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 236*i - 1095. Let j be h(4). Sort j, 1, -4 in ascending order.\nAnswer: j, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 433 - 3901\/9. Let w = 0.19 - -0.11. Let n = 3.06 + -0.06. Which is the closest to 2\/3? (a) n (b) g (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21 and 441?\nAnswer: 441","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 11493747 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*y**2 - 24 - 6*y - y**2 - y**2 + 9*y**2.\nAnswer: 3*(y - 4)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -269*z - 3506. Give y(-13).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 0\/4 + 8 + -1. Let a(s) = -3 - s**2 + 0*s**2 + 12 + 7*s. Does 9 divide a(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {b: 3, d: 2, h: 5, t: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*y = 15*y + 8 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -749.14 and 6.8102.\nAnswer: -742.3298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 293*r. Let t(f) = -f**2 - 3*f + 3. Suppose m = 14*m + 39. Let d(j) = 2*j - 2. Let c(b) = m*d(b) - 2*t(b). What is s(c(q))?\nAnswer: 586*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -0*g - 5*r + 26, 3*g - 48 = -5*r. Suppose -119*z = -120*z + 9. Suppose 0 = g*s - z*s - 26. Calculate the greatest common divisor of s and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 101*m**5 - 7361*m**4 - m**2 - 6*m - 7587?\nAnswer: 6060*m**2 - 176664*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - p - 4, w = -4*p + 11. Let b be 230\/2 + w\/(-3). Suppose 2*k - 34 + b = 0. What is k rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-63*c - 8534*c**2 + 8534*c**2 + 12*c**3)*(3 - 4 + 2) + c**3 + 3*c**3 - 2*c**3 in the form k*c + t + i*c**2 + d*c**3 and give d.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 12.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five quarters of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/(-1) - (-5 - (6 + -5)). Solve 3*r + 3*b + 13 = -l*b, 0 = r - 3*b - 19 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 11 - 19. Let x be ((-2)\/8)\/((-12)\/f). Suppose -3*z - 6 - 4 = -2*l, 0 = -3*z - 12. Which is the third smallest value? (a) l (b) x (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003278714921 rounded to six decimal places?\nAnswer: -0.000328","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 11*t**3 - 9*t**2 - 2*t + 9. Let w(a) = 6*a**3 - 5*a**2 - a + 5. Let k(d) = 4*l(d) - 7*w(d). Calculate k(1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.71 + -0.01. Round y to one dp.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*1*sqrt(640)*6)\/(sqrt(80) + (sqrt(80) - (-2*sqrt(80) + sqrt(80))) - sqrt(80) - sqrt(25)\/(2*sqrt(5))).\nAnswer: -32*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -798*q + 190. What is the units digit of n(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -2. Let y(l) = l - 8. Let a be y(7). Let f be (a - 3) + c - 0. Which is smaller: 2\/3 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 58*q + 61*q - 246*q + 17602 + 64*q + 65*q to the form u*q + m and give m.\nAnswer: 17602","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -9*a - 1. Suppose 5*l = -u - 5, -4*l - 28 = -u - 3*u. Suppose -5 = 3*p + m, -p - u*m = -3*m. What is the units digit of w(p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -30549\/16 - -1908. Find the common denominator of s and 11\/5.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the third derivative of -4\/3*t**3 + 0 + 0*t - 3*t**2 + 3\/8*t**4. Is w(13) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, z: 8, i: 4, b: 1}. Give prob of sequence za.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87031?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -5 - -5) + 6 + -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -28 - 88 + 1570*a + 116 + (1 + 1 + 0)*(-3*a + 3*a + a) in the form o + v*a and give v.\nAnswer: 1572","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 36\/7, 2\/11, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 10, -4*x - 7*t + 3*t - 16 = 0. Let o(i) = -x + i + 1 + 7 + 3. What is the tens digit of o(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32 divided by 20?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 13507965 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.5 + -0.6. Let j = -206 - -215. Which is the nearest to u? (a) -0.3 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 6087.292 to the nearest one thousand.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, -1982, -10, 417?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.14517 to 2 decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 312 (base 6) to base 12.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7\/4? (a) 1 (b) -3 (c) -0.3 (d) 2\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -27*v**5 - 25*v**4 + 2041*v**2.\nAnswer: -1620*v**2 - 600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.17 - -0.146.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 9 = 3*t + y, 2*y = -6. Let x be (0 - -8) + 2\/2. Let c(s) = -s + 13. Let h be c(x). Is h bigger than t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and -375.\nAnswer: -370","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*u**4\/15 + 36*u**3\/5 - 192*u**2\/5.\nAnswer: -2*u**2*(u - 48)*(u - 6)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 16*l - 19. Let c be (6 - 0) + -8 - -25*l. What is the highest common divisor of 161 and c?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**2 - 61824*k - 6049143. What is q(-98)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12106, -5, 0 in descending order.\nAnswer: 12106, 4, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -3*b**3 - 995*b**2\/2 - 4669*b\/2 = 0?\nAnswer: -161, -29\/6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 + -13 + -1 + (-72 - -78)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/9 - 40\/(-6). Let o = 8 - d. Let h be 1\/3 + (-11)\/(-3). Put h, o, 3 in descending order.\nAnswer: h, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b. Let z be r(-10). Suppose 2*v = 4*v - z. Let o = v - 3. Solve o*f + 2 = -h - 1, -2*f + 6 = -2*h for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 10*k**2 - 7*k + 98. Let x be c(-5). Solve 0 = x*q - 3*q + u - 25, 0 = q + 5*u - 29 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -120*l**2 + l - 36. Let u(z) = -4*z. Calculate u(p(r)).\nAnswer: 480*r**2 - 4*r + 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of 23801 and -119.\nAnswer: 23682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-5))\/(6\/12) - -6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -34 - -31. Is r at least as big as -3\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the second derivative of 153*a**8\/56 - a**4\/12 + 11*a**3\/6 + 262*a. Find the third derivative of w(q) wrt q.\nAnswer: 18360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k - 2*k + 3286 = -2*z, -3*z + 5*k = 4939. Let o = 2829 + z. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 22290539 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 + 14. Suppose 0 = 10*x + y*x - 105. Suppose x*f + 3*f = 1096. What is the units digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*p**2 - 128916188*p + 2077422941056418.\nAnswer: 2*(p - 32229047)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 866 + -171. Let o = l - -267. Suppose -o = m + 2438. What is m rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 2679?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -126725 (base 11) in base 14?\nAnswer: -52841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1\/10 of a meter?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 592 - -309. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -6510, -6686, -6978, -7386, -7910?\n\"Answer: -58*i**2 - 2*i - 6450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/7 of a week in hours?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-1)\/(((-10)\/8)\/5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25576202.\nAnswer: 2, 29, 61, 7229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 + 452*l + 38982. Let y be a(-336). Let r(s) = -4*s + 3. Let h(u) = 13*u - 9. Let v(q) = 4*h(q) + 14*r(q). Calculate v(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29886403 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-12 - 101 - 239)*(10*s + s - 5*s) to the form f + a*s and give a.\nAnswer: -2112","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 - 39 = 5*k. Let v be 1\/5 - (-149)\/5. Let y = v + k. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - (-1 + 3))*1\/(-2)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3690\/(-180) + (-2)\/(-4). Is 2 a factor of (u\/(-8))\/(14\/420)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -37*a - a**2 - 251*a + a**4 + a**4 + 42*a + 5915 + a**3 - 5913 as m*a**4 + u + k*a + v*a**2 + d*a**3 and give m.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 1\/797375338?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 4:46 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 12471.11 meters?\nAnswer: 12471110000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/5))**(-12))**(-36) assuming o is positive.\nAnswer: o**(864\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 633*s - 103*s + 593 = -63*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21945 divided by 3?\nAnswer: -7315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -509*z = -408*z - 202. Let q(l) = 6*l**2 - l. Give q(z).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 4)*(-k**3 - k + k) + 4*k**3 - k**3 - 4*k**3 + 2*k**3 - 3*k**3 + 2*k**3 + (-4 - 6 + 2)*(-k**3 + 0*k**3 + 3*k**3) - 1 + 1 + k**3.\nAnswer: -17*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -28 - -20. Let m be ((-8)\/(-10))\/(k\/(-20)). What is the third derivative of u**3 - u**m - 2*u**5 - u**3 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 444 and 2025676?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 1525 = -0*u + 4*u, -5*u + 915 = 3*w. Let l = w - 148. Let n = l - 83. What is the remainder when n is divided by 26?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2566164 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 388593.18 minutes?\nAnswer: 269.856375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6544, 6472, 6390, 6292, 6172?\n\"Answer: -l**3 + l**2 - 68*l + 6612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1565*n - 6643 + 52028 for n.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 71 is divided by 19.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.579 + 18.181. Let t = -18 + c. Round t to one decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k + 24 = -0*k + 5*m, m = 3*k - 6 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(1274)*-2)\/((sqrt(90)\/(1*sqrt(9)))\/sqrt(5)))**2.\nAnswer: 22932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g**2. Let s(d) = 97*d - 1618521 + 1618521. Give m(s(r)).\nAnswer: -9409*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -2379 - -2385. Put -3, -1, -10, 1, h in increasing order.\nAnswer: -10, -3, -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -3*d**2 + 2*d - 1. Determine s(-2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -1 and 909188917552?\nAnswer: 909188917553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1126744 and -0.1.\nAnswer: -112674.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 3 + o)*(4 - 2 + 0) + 3*o - 2*o - 3*o + (o + 2*o - 4*o)*(-4 + 3 + 3).\nAnswer: -2*o + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 12 = 3. Suppose -w = -g - 2. Sort 3, -8, g.\nAnswer: -8, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -257*d - 2788. Give h(-11).\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 3 - 1)*((-2*i + 0*i + 0*i)*(3 - 2 + 2)*(1 + 5 - 4) + (-3*i - 1 + 1)*(2 - 2 - 2)) as g + t*i and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 84 or 87?\nAnswer: 87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, u: 1, x: 2, m: 8, v: 2, j: 4}. Give prob of picking 1 x and 1 v.\nAnswer: 4\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -0.4, 141, -118\/9, -2 in increasing order.\nAnswer: -118\/9, -2, -0.4, 2, 141","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -2*s**2 - 2431*s + 7314. Give d(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 + z**2 - 2*z**2)*(-5*z + 6*z - 2*z) + (1 - 4 + 4)*(-z**3 + 4*z**3 - 2*z**3) + 4*z**3 + 11*z**3 - 12*z**3.\nAnswer: 2*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -615 divided by 41.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (151 + (-76 - 7))\/((-4)\/(-3))?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4156*g**2 - 6690*g**2 - 2743*g**2 - 5003*g**2.\nAnswer: -18592*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4454 is divided by 147?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1306418 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*o - 5*o - 192 - 64 = 0 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 4\/(-5)*(-4 - 0) and -18\/7?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -7124976372542 and -68.\nAnswer: -7124976372610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes before 9:41 PM?\nAnswer: 8:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 3 - 13)*(2*v - 2*v - 3*v) + 2 + 5*v - 3*v - v.\nAnswer: -140*v + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -9*f**2 - 13*f + 20. Let y be n(15). List the prime factors of y\/(-65) + 2\/13.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -j - 24. What is the second derivative of 16*m + 8*m**2 - m**2 + m**2 - j*m wrt m?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49175 = -42*s + 24745. What is the greatest common divisor of 128 and s?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(17) + 1 + sqrt(170)\/sqrt(160) + -4 + (sqrt(68)*-3 + 3)*2)**2.\nAnswer: -129*sqrt(17)\/2 + 31577\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1459.1 and -0.3.\nAnswer: 437.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 605 + -605. Put a, 3, 2.64 in descending order.\nAnswer: 3, 2.64, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h**5\/3 - 299*h**4\/3 + 769*h**3 + 6119*h**2\/3 - 2308*h\/3 - 1940 = 0. Calculate h.\nAnswer: -2, -1, 1, 10, 291","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 + -5 - -4) + 1. Suppose g*r - 13 = -5*t - 3*r, 2*t - 3 = r. Differentiate -3*l**2 + l**t - 8 - 1 wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.3, -0.04, 5, 3\/52 in increasing order.\nAnswer: -2.3, -0.04, 3\/52, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -29) + -95 + 81 + (-112 - -2)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/((-150)\/4))\/(-2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -117, -27, 41, 81, 87, 53, -27?\n\"Answer: -p**3 - 5*p**2 + 112*p - 223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 54 and 3375.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 87 - 83. Suppose o - 38 = -5*m, -13 = -u*m + 3*o + 25. Let a(v) = -22*v. What is the remainder when a(-1) is divided by m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-66)\/12)\/(-3*1\/18) + 6. Solve -15*g - b = -2*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13 + 17. Suppose -20 = -5*y, -2*m - b*y + 24 = -0*y. Suppose 5*w + c - 795 = 0, 484 = 5*w + m*c - 296. What is the remainder when w is divided by 41?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + (-9 - 0 - 14).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 820 divided by 274?\nAnswer: 410\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12690\/(-1716) + 4\/(-22). Let g = -66\/13 - i. Which is the third biggest value? (a) 5 (b) g (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((0 - 0) + 1 - -2 - -2) + 6\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -722*l**3 - 335*l - 10*l + 366*l**3 + 358*l**3.\nAnswer: 2*l**3 - 345*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 21 times 101637838?\nAnswer: 2134394598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -39.6 + 41.59. Let v = f + 0.01. Which is the biggest value? (a) v (b) -0.2 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34 - -33. Let q = -18 + 26. Suppose -2*i - q = -0*i. Put h, i, 8 in descending order.\nAnswer: 8, h, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183598 - -0.01.\nAnswer: 183598.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*(6 - 192\/30). Solve -35 = -y*k - 15 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133.91 - 137.91. What is the biggest value in 4, -1\/100, n?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (-1 + 0 - (-10 - (12 + -23))).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wkww when four letters picked without replacement from {k: 2, w: 3}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 84801 and -456.1?\nAnswer: -38677736.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -700465 or -700464?\nAnswer: -700464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1175817\/7 + -167445. Let r = 528 - t. Let d = -0.1 - 2.9. Sort 10, d, r.\nAnswer: d, r, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1001031311 (base 4) in base 2?\nAnswer: -1000001001101110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4\/12*-9)\/(6\/16). Is 0.01 >= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5527 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of 3889*s**3\/6 - 3587*s**2\/2 - 43*s + 25. Find the first derivative of g(j) wrt j.\nAnswer: 3889","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2665 is divided by 94?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, -0.5, 770, -8?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (210816\/(-30))\/8 - 6\/10. Is ((-28)\/(-6))\/(0 + (-2)\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -26.71295367 rounded to 3 dps?\nAnswer: -26.713","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*a**2 - 1 + 1 + (-a + 3*a + 0*a)*(a + 2 - 2) - a - 3*a**2 + a)*(47*a - a - 7*a).\nAnswer: -117*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -1)*2 + -1. Is (-11476)\/(-10) + u\/(15\/(-9)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -327*v + 343*v + 80 = 0. What is the units digit of ((-20)\/(-8))\/v*-204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-40 - -37) + 41\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46045559.\nAnswer: 7, 71, 92647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 167\/(-668)*112\/(-6)*-9*10\/5.\nAnswer: -84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d + 10 - 10 + 2*d**2)*(-1 + 7 - 2)*(3*d**2 + 0*d**2 - 2*d**2).\nAnswer: 8*d**4 + 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 14\/10 + 26\/(-65). Suppose t = -0 + i. Sort 0, t, 5 in decreasing order.\nAnswer: 5, t, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (3\/(-2))\/(6\/(-12)). Suppose -j*f - 4*a - a = -27, 0 = 2*f + a - 11. Solve f*k = d + 19, -d = d - 2*k + 8 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -2 + 31*y - 6*y - 8*y + 1 - 16*y. Give q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.74 + -0.82. What is the third biggest value in 0.4, 1, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85 + (35 - 29) - -12 - (3 + -1 + -12)?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -5*c**3 - 2*c**2 - 6*c - 5. Let m(x) = -4*x**3 - x**2 - 6*x - 5. Let i(f) = -6*m(f) + 5*z(f). Let h be (12\/16 - 2)\/(1\/4). What is i(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the third derivative of -n**4\/24 - n**3\/6 + 13*n**2. Suppose 6*p = 2*p + 16, 4*p = -5*f + 1. Give y(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -279*d**3*k**4 + 3*d**3*k - 2*d**3 + 5*d**2*k + 389*d*k**4 + 830*d wrt k?\nAnswer: -3348*d**3*k**2 + 4668*d*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 10444648 to the power of 1\/2, to the nearest integer?\nAnswer: 3232","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 21453 greater than or equal to 21454?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 56\/75 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -368757*p*q**3 + 107788*p*q**2 - 2*p*q - q**3 - 2*q**2 - 1 wrt q.\nAnswer: -2212542*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*a**5 + 48628*a**4 + 147573388*a**3 - 1334440084*a**2 - 7107085216*a - 7696600912 = 0. What is a?\nAnswer: -6083, -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:28 AM and 5:38 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5 - -315212?\nAnswer: 315204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 161605 to the nearest integer?\nAnswer: 402","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1935\/860)\/((-4)\/(-64)*-2)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuufufuufufffuffuuff. Give prob of sequence uu.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10453.\nAnswer: 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 + -10 + 12 - -7) + -3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 656.91257 + -0.42257. Let i = p - 688.9. What is i rounded to 0 dps?\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -12*h**2 - 2408*h - 314. Let m(x) = -2*x. Give m(v(u)).\nAnswer: 24*u**2 + 4816*u + 628","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(2\/5))\/(j**(-5\/8)*j*j))**(-7\/2) assuming j is positive.\nAnswer: j**(217\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*f + 22 = 47. Let x = -200 - -6201\/31. Is x at most as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -12*r**4 - 141*r**3 - 240*r**2 + 501*r - 108 = 0.\nAnswer: -9, -4, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -b**5\/2 - 907*b**4\/2 - 903*b**3\/2 + 2719*b**2\/2 + 452*b - 906 = 0.\nAnswer: -906, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28 + 26. Let a(f) = 8*f - 14. Let r(s) = -2*s + 3. Let i(k) = -4*a(k) - 18*r(k). What is i(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -17.7 or 73?\nAnswer: 73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7810\/(-284)*(-28)\/22.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 117792666?\nAnswer: 2, 3, 19, 344423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 345, 603, 891, 1245, 1701, 2295, 3063, 4041?\n\"Answer: 6*c**3 - 21*c**2 + 279*c + 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5715 (b) 0 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 212.\nAnswer: 84.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 1 + 2 + 1 - z - z**2 - 1. Determine w(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bw when two letters picked without replacement from pkkwbbpkkbkbw.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/5 + (-22)\/165. Is 1 != g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 104 = -3*k - 6, -2*w - 97 = -3*k. Let z(d) = 7*d - 414. Calculate the remainder when k is divided by z(61).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -26.07 - -0.07. Let w = y + 15. Let v = 14 + w. Which is the nearest to -1? (a) -1 (b) 0.5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l - 5. Let u = -36 - -3. Let j = 63 + u. Calculate the remainder when j is divided by o(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 3*u + 708416. Let l = u - 64104. What is l rounded to the nearest 10000?\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 686147 and 95?\nAnswer: 3430735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -14949 + 14954. Which is the nearest to -0.3? (a) -2\/19 (b) -0.05 (c) v (d) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 51 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13332614949702 minus 31?\nAnswer: -13332614949733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 10 + 0 = 0. Let a = -4 - d. What is the common denominator of (a\/4)\/(12\/(-86)) and -41\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p - p - p)*(1 - p**2 - 1) + 0*p**3 - 5*p**3 + 2*p**3 + 2*p**2 - 2*p**2 - p**3.\nAnswer: -3*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 42 and 12754.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 654443 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 473417075 to the nearest integer?\nAnswer: 21758","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 1202 = y + y, -3*y - 613 = -i. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4437.812699944 + -4437.9637. Let x = s - -0.151. Round x to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/32822144 + -1 + 1. Let u = -2155569690601\/147699648 - f. Let y = -14598 - u. What is the common denominator of 73\/14 and y?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.8 (b) 2 (c) 2\/9 (d) -0.1 (e) 28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/28, 0, 34\/1227?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -21*c**2 - 2*c + 2*c + 20*c**2 - 15 in the form i*c**2 + n + y*c and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(567)*-3 - sqrt(567))\/sqrt(9))**2.\nAnswer: 72*sqrt(7) + 1017","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -1 - (1 + -5).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**3 - g**2 - g. Let x be f(0). Let l = 3 + -1. Let y(t) = 0*t**2 - 1 + x*t**2 - 7*t**3 + 2*t + 8*t**3 - l*t**2. Determine y(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7364\/82845)\/(2\/(-45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -718147 * 5.\nAnswer: -3590735","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1848\/1155)\/((-72)\/(-70))?\nAnswer: 14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 589 minutes before 7:17 PM?\nAnswer: 9:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4360 and 6154576?\nAnswer: 30772880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4 times -0.387\nAnswer: -1.548","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((c*c\/c**(-1))\/c)\/c*c)\/c)**(-13\/8))**45 assuming c is positive.\nAnswer: c**(-585\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84461470.\nAnswer: 2, 5, 881, 9587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4906, 19632, 44176, 78538?\n\"Answer: 4909*l**2 - l - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-86)\/731*14\/(-49)*21\/(-12)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -235370*f**3 + 6*f**2 + 2*f - 23372504?\nAnswer: -706110*f**2 + 12*f + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*m - 28 + 119 = 0. Let x be (-46)\/46*2\/m. Which is the nearest to x? (a) 3 (b) 4 (c) -0.3 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2 + 2 + (-3)\/((-12)\/(-16)). Let l(h) be the second derivative of 0 + n*h**3 + 0*h**2 - 1\/6*h**4 - 2*h. Factor l(o).\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 869 = -t + 48*q + 480, -2*t - 2*q = -6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 d when three letters picked without replacement from {v: 3, g: 1, q: 1, x: 1, b: 2, d: 3}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1314504 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 117 and 156?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000277498668 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -923067, -923111, -923153, -923193?\n\"Answer: c**2 - 47*c - 923021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1012043 (base 7) to base 8\nAnswer: -353677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from kyqqkykkkykqqy.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2422.6 + -2423.6. Suppose -2*k + 7 = -p + 15, k + 14 = 3*p. Sort -3, w, p in descending order.\nAnswer: p, w, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12030 (base 13) in base 7?\nAnswer: -165123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that -5*k**2 - 550*k - 15125 = 0.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + 1 + (48 - 39)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence urr when three letters picked without replacement from {u: 1, r: 3, n: 5}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1010892?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*i\/((i**(2\/23)\/i)\/i)*i**(1\/8)\/i)**(-19\/3)*(i**(-2\/9)*i*i\/((i*i**(-5))\/i)*i)\/(i*i*i**1*i*i)**47 assuming i is positive.\nAnswer: i**(-408143\/1656)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 567?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21195 and 13357089?\nAnswer: 4239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110*f**3 + 2 - 2.\nAnswer: 110*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 579869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 374 and 110.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 48 = 3*o, -i + 14 = o - 2. Solve 0 = -5*k + 3*s + s + 4, 3*k + s - o = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66396 divided by -3018?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*n**4 + 848*n**3 + 35664*n**2 - 983680*n + 5382400.\nAnswer: 4*(n - 10)**2*(n + 116)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (10 - 13 - 31) + -56 + 61?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20 - (-3 + 16 + -32)) + 70 + 11.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-1)\/20*-2*(-671)\/253 and -25\/138.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1 + -1)\/(5\/60). Let s = j + 35. Let r(w) = -w**3 + 11*w**2 + 3*w - 13. What are the prime factors of r(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -91, -124, -171, -232?\nAnswer: -307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, g: 10, u: 1, j: 7}. Give prob of picking 2 j.\nAnswer: 7\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*v**2*y**2 + 175*v**2*y + v*y + 90*y**2 wrt y.\nAnswer: 4*v**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.238 * 500.8.\nAnswer: -119.1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 3 + 38)*(-7 + 41 - 22)*(-f - 2*f + 5*f).\nAnswer: 3456*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = 2*q + 1016, 775 = 5*d - q - 916. Is (3 - d)\/((-2)\/2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3)*(151 - 69 + 308)*(t + 3*t - 3*t).\nAnswer: -780*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 133*q - 316*q + 915. Let z(s) be the first derivative of 0*s + 0*s**3 - 1\/14*s**4 + 24 + 2\/35*s**q + 0*s**2. Factor z(g).\nAnswer: 2*g**3*(g - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67562 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: Is 15727 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by -285.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1450*d = -4*j + 1455*d - 29, 9 = -4*j + d for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.2 and 765.711648?\nAnswer: 765.911648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12047.6138 + -3494?\nAnswer: 8553.6138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b + 8. Let q be u(-4). Factor -5*j**3 + 4*j - 4 - 6*j**2 + q + 7*j**3.\nAnswer: 2*j*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51715 and 1360?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -56.00094 - -56. Round m to four dps.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/3)\/r*r**(7\/3) assuming r is positive.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -a**3*b*v + 194*a**3*v + 8*a**3 - 2*a**2*v - a**2 - 7*a*b - 82*a*v wrt a.\nAnswer: -6*b*v + 1164*v + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) 0.3 (b) -4 (c) -2\/9 (d) -58877\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the third derivative of s**4\/24 + 3*s**3\/2 + 5*s**2. Suppose -32 = -5*w - 2. Calculate the least common multiple of w and u(5).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07065109 rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*z + 1 = -19*z + a, 0 = -z + 2*a + 5 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/(-4))\/5 + 4. Let c = f - 5. Suppose 4*v = -2*p + 308, -5*v + c*p = 5*p - 375. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 2*t + 4546, 19*f + 2*t = 21*f - 3054. Calculate the remainder when f is divided by 170.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13179 by -30.\nAnswer: 4393\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -1249*f + 4848. What is the tens digit of d(-25)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 21*b + 9. Let u(s) = -1 + 4 - 1 + 5*s. Determine 9*u(j) - 2*z(j).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.9 - -0.1. Let t = y + 1. Let l = -0.6 + 0.1. Which is the third biggest value? (a) t (b) l (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8468 is divided by 497?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 5*v + 16 = 3*n, -4*v + 4 = 0. Suppose -19*j = -18*j - 2. Solve -i + n = -j*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 64 + 626 = 5*z. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -162, -160, -158, -156, -154?\n\"Answer: 2*f - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of -v**3\/6 - 24*v. Let o(u) = -15*u**2. Calculate o(g(p)).\nAnswer: -15*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:21 PM and 10:21 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 56624 is divided by 56621.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = p - 9 + 10 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20*452.\nAnswer: -9040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9017491*4.\nAnswer: 36069964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 564.993639 rounded to one decimal place?\nAnswer: 565","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-3) - (5 - 91\/21). Let v be (144 + -1)\/(-1) - 1. Is (a + v)\/(-6 + 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*s = -10 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 23 = -w + 6, -5*d + 5*w = 35. Let h = -3 - d. Find the second derivative of -10*b + 7*b + 0*b**3 + h*b**3 wrt b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -238505 + 7617395.\nAnswer: 7378890","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 350891366 a multiple of 287?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 10*x - 4. Let a(f) = -11*f - 12. Let w(o) = -a(o) - z(o). What is w(-15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8425825 litres in millilitres?\nAnswer: 842.5825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -63476 (base 8) to base 5.\nAnswer: -1321210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*x - 5*a - 59952 - 553140, 0 = 2*x + a - 613104. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - 722\/15. Let s = -1 - -2. Sort s, -0.1, g in decreasing order.\nAnswer: s, -0.1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:07 AM and 10:04 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 t when four letters picked without replacement from cxtxyxxctccy.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 18, -0.6, 3\/4, -0.4, 0.1, -349, 0.4?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 382 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-280)\/21)\/(-8))\/((-4)\/24)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 143 + 0?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 121*d + 931. Determine y(-8).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -133\/162 and 59\/243.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 - (3 + 56\/(-7)) - -16265 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 227 divide 13166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1*2*sqrt(156) + sqrt(156) - sqrt(156)*-2*5)\/(-3*sqrt(48)\/sqrt(4)*-6).\nAnswer: -2 + sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6241 - -6241.5. Which is the second biggest value? (a) -1\/3 (b) p (c) 2\/55 (d) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/14)\/(4\/28). Let i(p) = p**3 + 3*p - 1. Let d(v) = -5*v**3 - 4*v**2 - 12*v + 67. Let k(b) = l*d(b) + 4*i(b). Differentiate k(n) with respect to n.\nAnswer: -3*n**2 - 8*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111 - 138. Let a = n - -843. Does 27 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 3 - o**2 - 1 - 1 - 2*o**2. Suppose 3*j = -j - 3*q + 44, 0 = -5*q + 20. Suppose 3*h = j*i - 3*i - 8, -h - 2*i = -1. Determine y(h).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2456545 to the power of 1\/2, to the nearest integer?\nAnswer: 1567","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-14 - (-2 - 3) - -6) + 61 + -25.\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -2*m - 3. Let v be f(-5). Suppose -3*g = -v*g + 1048. Let h = g - 522. Round h to the nearest one hundred.\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2\/125 of a litre?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -4457*q - 4. Let k(p) = -3714*p - 5. Let d(a) = 6*k(a) - 5*s(a). Suppose -5*x - 1 = t, 3*x = -t - 0 + 1. Let c be 1\/x*7\/(-1). Give d(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*t**2 - t + 0*t - 2*t + 3*t**3 + 2*t as a + o*t + p*t**2 + y*t**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-3)\/(63\/7)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18672366?\nAnswer: 2, 3, 23, 269, 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -103*r**2 + 6. Let v(s) = -2*s. Calculate v(h(m)).\nAnswer: 206*m**2 - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2. Suppose 6 = -2*r - 0*r. Let u(f) = f**2 + 3. Let a(q) = q**2 + 2. Let k(y) = r*a(y) + 2*u(y). Determine t(k(w)).\nAnswer: -w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9 - (4 + -8)) + (-4 - (-5 + 6))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 17*r**3 + 2*r**2 + 3*r + 2. Suppose -101*m - 2 = 99. Determine p(m).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124077226 less than 345296?\nAnswer: 124422522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 73, 164, 283, 424, 581, 748, 919?\nAnswer: 1088","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 634484911?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 14) in base 2?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 45 = -0*g - 3*g, -4*j - 5*g + 24 = 0. Let v = -1 + 3. Solve 5*t + v*k + 0 = -17, 4*t + j = k for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-6 + -5 + -19 + 9) - (2 - 11)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = -3*l + l + 68, -3*l = 5*g - 102. Solve 0 = -4*z - 5*d - l - 6, 2*d = -5*z - 33 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 396445 to the nearest integer?\nAnswer: 630","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o = 11*o + 4. Suppose -4*y - 3*x - 27 = -6*x, 0 = -5*x + 25. Which is the smallest value? (a) 2 (b) o (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + 1 - (5 + -28 - (-39 - -29))?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, 2960, 267\/11 in decreasing order.\nAnswer: 2960, 267\/11, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 335*g**2 + 329*g - 28. Let w be u(-13). Round w to the nearest ten thousand.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -h**3 + h**2 + 2*h - 8. Determine d(0).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/k**5*k**(1\/2)\/k*(((k*k\/((k\/k**0)\/k*k))\/k)\/k)**(1\/7) assuming k is positive.\nAnswer: k**(-65\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2993 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: Collect the terms in -1603*o**2 + 788*o**2 + 900*o**2.\nAnswer: 85*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1404\/546)\/((-4)\/14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-62 - -61) + 6 + -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (0 - (4 + -26))) + (-4 - -10)\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + -2. Put z, 2, 67, -3 in decreasing order.\nAnswer: 67, z, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) -2\/15 (b) 5 (c) -0.096\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40847467, -40847522, -40847671, -40847962, -40848443, -40849162, -40850167?\nAnswer: -40851506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*t*z**3 + 6*t*z**2 - 40*t*z - 2*t + 42*z**3 - 12*z + 68 wrt z.\nAnswer: 36*t*z + 12*t + 252*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lyyb when four letters picked without replacement from llbllbyyylbbl.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1003652, 0.2, 22?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*t + 10 = -9, 4*t = -4*f + 12. Suppose -4*j + 49 = y - 0, -j + f*y + 8 = 0. Solve 4*l + j = -0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 7*m**2 + 27*m - 130. What is the tens digit of i(-13)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s when three letters picked without replacement from {d: 2, s: 5, p: 1, z: 1, a: 2, r: 2}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 163, 0.2, 78138?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.048 + 32.048. Let g = o + -30. Which is the second smallest value? (a) -4 (b) 3\/4 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = -2*h - 493, 3*h + 424 = 4*s + 2418. Let x = s - -516. Calculate the highest common divisor of x and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*d - 2*d**4 - 11*d + 4*d**2 + d**4 + 13*d - 2*d**3 - 13*d in the form y*d**2 + r*d**3 + w + z*d**4 + n*d and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31522326*b**4 + 48653069?\nAnswer: 126089304*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(1*(2 + sqrt(833) + -2 + -1 + sqrt(833) + sqrt(833) + 5) + -3) + 1)*-4)**2.\nAnswer: 8064*sqrt(17) + 1919376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(880)*2 + sqrt(880))\/(-1*sqrt(405))*-4.\nAnswer: 16*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2c90 + 33?\nAnswer: -2c5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2501438?\nAnswer: 2, 401, 3119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**2 - 5*v - 3. Let m be k(-3). Let r be -1*(-2 + m) - -47. Suppose 0*x + 3*x + 2*l = r, -l - 94 = -5*x. Does 18 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02 + 494427.\nAnswer: 494426.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = d + 3. Suppose -2*w + f - 6 = 4*f, 4*f = w + 14. Calculate x(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (22\/33)\/(100\/(-210)).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -313\/165 equal to -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y - 16 - 96. Calculate the highest common factor of 42 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -2 + (-4 - -6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 - 4*d + 2. Let t(a) = -12*a**2 - 191*a + 9. Let o(b) = 4*b**2 + 67*b - 3. Let y(v) = 17*o(v) + 6*t(v). Determine -7*q(f) + 4*y(f).\nAnswer: -2*f**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 317.6971 millimeters in meters?\nAnswer: 0.3176971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -8*w**2. Let z(r) = 442*r**2 - 92 + 90*r**2 - 530*r**2. Calculate z(b(f)).\nAnswer: 128*f**4 - 92","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 7*g + 83 = -11*g, 0 = -4*z + 4*g + 84 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -163*11.104.\nAnswer: -1809.952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82850, -331256, -745264, -1324874, -2070086?\nAnswer: -2980900","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(306)\/sqrt(24))\/(sqrt(12) + sqrt(12)*4 - sqrt(3)).\nAnswer: sqrt(17)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 401 - 401. Solve 0*b + 14 = 2*b + 3*l, -3*l + 6 = d for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 35394 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 11b129 (base 15) to base 16\nAnswer: cee1d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -6751089 and 40413230.\nAnswer: 33662141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 4*u - 13. Let b(r) be the first derivative of r**2 - 7*r + 1182. Determine 7*b(x) - 4*n(x).\nAnswer: -2*x + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/21 + 302\/(-21). Suppose -57*w + 51*w + 25728 = 0. Let a be w\/(-304) - (-4)\/38. Which is smaller: a or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 5*n - 20, 0*n - 16 = -4*n + z. Let o be (-37)\/(5\/(11 + n)). Let t = o - -183. What is the tens digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5811322 and 2046?\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 19401 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14988.\nAnswer: 2, 3, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2463, 2465, 2467, 2469?\nAnswer: 2471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11442*g**2 + 3784*g - 2 wrt g?\nAnswer: -22884","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4956)\/546 - 1\/(-13)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*n**2 - 25 + 5*n + 25 + 5*n**2.\nAnswer: -2*n**2 + 5*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*j**3*x**2 - 43*j**3 - 29*j**2*x**2 - j**2 + 365*j*x - 229*j wrt x?\nAnswer: -4*j**3*x - 58*j**2*x + 365*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 5*h**3 + 8*h**2 - 22*h - 10. Let f(c) = -c**2 + 1. Give -8*f(y) - o(y).\nAnswer: -5*y**3 + 22*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8273304.\nAnswer: 2, 3, 13, 8839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 1665\/66839?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0 + (1 + -2 - -3). Differentiate 53*c + 13*c**w - 1 - 53*c with respect to c.\nAnswer: 26*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -6)\/(3\/6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 226*i**2 + i + 17. Is k(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 29812 (base 11) to base 15\nAnswer: c7b2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1351573229 - 2*o**2 - 1351573229.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79132 is divided by 100.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - 2*r = -32886, 17*r - 13*r = 4*g - 32916. Suppose g = -c - 3686. Round c to the nearest 1000.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 342*a - 3958 = 340*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.2 - -544266513.\nAnswer: 544266513.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**2 - 145*a + 616. Let n be r(4). Let f(k) be the first derivative of 3*k - 1\/3*k**3 - n - k**2. Determine f(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -134*v + 35. Let z(y) = -133*y + 44. Give -5*k(t) + 4*z(t).\nAnswer: 138*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 2 = -5*k, -b = -5*k - 3*b + 18. Let y = 0 + k. Suppose 6*r - 2*r - 68 = 5*p, -y*p = 2*r - 34. List the prime factors of r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -91 + 69 - 80619\/(-2519) - 10?\nAnswer: 1\/229","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -142142 - 200?\nAnswer: -142342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -61 - -146. Suppose 4*s = -5*o - 12 + 75, -s = 4*o - 13. What is the highest common factor of s and m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 109271, 218548, 327825, 437102?\n\"Answer: 109277*b - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -1. Let o = 42 - d. Which is smaller: o or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.97602978 rounded to 1 dp?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80400?\nAnswer: 2, 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 113338?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 79 - 71. Let v be (81\/18 - 4)\/(2\/f). Sort 3, -1, v in decreasing order.\nAnswer: 3, v, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 323204 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -2*d**3 + 6*d**2 - 6*d - 7. Let a(s) = s**3 - s**2 + s + 1. Let c(f) = f**2 - 35*f - 1335. Let x be c(58). Determine x*i(v) - 6*a(v).\nAnswer: -4*v**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:45 AM and 8:41 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -220 - -13ea?\nAnswer: 11ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 872673720?\nAnswer: 2, 3, 5, 59, 123259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4848 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7318378 weeks to minutes.\nAnswer: 7376.925024","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/1100 and 7\/52?\nAnswer: 14300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(684)*-1 - sqrt(684))*-5 - sqrt(684)*2*6) + 1 - -3*(sqrt(684) + (sqrt(684)*1 - sqrt(684)) + -4 + (sqrt(684) - (sqrt(684) + -1 + -5))))**2.\nAnswer: 84*sqrt(19) + 733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/21? (a) -2 (b) 0.5 (c) -40 (d) -0.341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = 6*r - r - 270, 3*z + 156 = 3*r. Suppose 17*k + r - 6 = 0. Sort -4, -7, k.\nAnswer: -7, -4, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3*u**2 + 2*u - 4. Let d be c(-3). Suppose 3 + d = 4*h. Solve h*o = -4*j + 37, -3*j + 30 = 4*o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -5. Find the second derivative of j**3 + 6*j + j**3 + 2*j**b - 2*j wrt j.\nAnswer: 24*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -52*d + 1. Let z be 1*(-36 + 33 + (1 - -1)). Let u(s) = -1. Give z*u(k) - h(k).\nAnswer: 52*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/9*6*9. Solve 4*l + 12 = -2*h, -4*l = -2*l + 4*h + t for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -275dd9 (base 14) to base 13.\nAnswer: -38864a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**3\/5 - 22462*i**2\/5.\nAnswer: -2*i**2*(i + 11231)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-12 + 2 + 0)*2. Let r be (-4)\/k - (-38)\/(-90). What is the third smallest value in -0.3, r, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 82 times 0.26\nAnswer: 21.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, y: 1, i: 1}. What is prob of picking 2 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -9 + 9 + n. Let f(r) be the third derivative of 0*r**3 + 0*r + 0*r**4 + 1\/60*r**5 + 0 + r**2. Give f(w(p)).\nAnswer: p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.18715 + 0.171. Round x to three dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24071 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 395 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85914920 to the nearest integer?\nAnswer: 9269","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + -4*sqrt(10)\/(5*sqrt(720)) + ((sqrt(6) - (sqrt(6)*2 + sqrt(6)))*-3)\/(-6*sqrt(3)*-2).\nAnswer: -1 + 13*sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2736704\/3 at least -912234?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j - 3 = -11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*o**2\/3 - 1201504*o\/3 - 180451482752\/3.\nAnswer: -2*(o + 300376)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-6) + -2)\/(24\/144)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10425*m**2 - 10695*m**2 + 4073*m**2 + 24515*m**2 + 25855*m**2.\nAnswer: 54173*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1008) + 1 + 0 + 1 + ((-1 + sqrt(1008) - sqrt(1008)) + sqrt(1008))**2.\nAnswer: -12*sqrt(7) + 1011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 80. Suppose -s = -9*r + 23. Suppose 400 = r*i - 629. What are the prime factors of i?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36840557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 115 + 151?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1143143 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 159 by -1423212.\nAnswer: -53\/474404","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5\/11? (a) 2\/7 (b) 1 (c) 4 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 141*v = 270*v - 149*v + 20. Is v greater than 3\/2083?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/11, -0.1, -0.4, 2\/329, -1\/4 in decreasing order.\nAnswer: 2\/329, -1\/11, -0.1, -1\/4, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1*sqrt(133) - sqrt(133)) + sqrt(133)*-2*5)\/(sqrt(7) - -2*sqrt(112) - sqrt(175)*2).\nAnswer: 20*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in ten thirds of a decade?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 426971 - -219.3.\nAnswer: 427190.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 405 - 4 - 1*20\/(-4). Let x = -279 + i. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + sqrt(7) + -3 + sqrt(1050)\/sqrt(6) + 0)*-5*2.\nAnswer: -180 + 360*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 7*g - 7. Suppose 11 = 5*o - g*q, -2*o + 3*o + q + 2 = 0. Let p(k) = 131*k**2 - 2*k + 2. Is p(o) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 4*g**2 + 9*g + 12. Is u(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 k when two letters picked without replacement from {k: 3, d: 5, h: 4}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -34 - -42. Let l = 1 + t. What is the highest common factor of l and 72?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147541 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -28\/41 in 0.18, 2\/19, 1?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 86, -0.5, -4, 0.3, 0.08, -8.9?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305466 is divided by 1963?\nAnswer: 1201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -8*j**2 + 17*j - 17. Let h(l) = -4*l**2 - 6*l + 13. Let m(o) = 3*o**2 + 4*o - 9. Let y(a) = -5*h(a) - 7*m(a). Calculate 6*c(d) - 51*y(d).\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve j + 0*j + 4*a - 20 + 1 = 0, 7*a + a + 7*a = -2*a for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -2. Let u(v) = -v**2 - 6*v + 8. Calculate the lowest common multiple of 1 + h + (-15)\/(-5) and u(-6).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**3 + 5*i**2 + 2*i - 3. Give d(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 1\/6*u - 1\/6*u**4 - 1\/2*u**3 - 1\/2*u**2 = 0. What is u?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = b - 3. Let w(r) be the third derivative of -r**4\/24 - 50*r**2. What is p(g) + 3*w(g)?\nAnswer: -2*g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -2*z**3 + 16*z**2 + z - 6. Let j be b(8). Solve 8*g**3 + 4*g + 2*g**4 - 6*g**2 + 15*g**2 + g**j = 0 for g.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0191? (a) -1\/6 (b) 0.1 (c) -1 (d) -1.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Do 1556545 and 1556553 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2470 and -0.4?\nAnswer: 2470.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/90*399\/(-1330).\nAnswer: 2\/75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00017517327357 rounded to 5 decimal places?\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -18. Calculate the remainder when h is divided by (-4)\/6 + (-44)\/(-3).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a gram in milligrams?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -4993.54.\nAnswer: -9987.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 10*t - 3. Let b be y(-2). Let l = b + 32. Suppose -l*p = -6*p + 9. Which is smaller: 0.09 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 divided by 2?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -76 + 115. Let h be i\/(-26) - 3\/((-6)\/13). Solve -2*g + 0*c - 4 = -c, h*g = -3*c - 10 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175*s + 1 = 36 + 315 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 33961, 5, 43 in ascending order.\nAnswer: 5, 43, 33961","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 + 19*c - 48. Suppose -f = 3*f - 64. Let o be x(f). What is the nearest to 1\/2 in -2, o, 14\/5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m\/(m*m**(-4\/7)))*m)**0\/(m\/m**(-8)*m**(2\/9)) assuming m is positive.\nAnswer: m**(-83\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 88 = -3*k + 2*h, 2*k - 4*h - 32 = 0. Let f(l) = l**2 - 1073*l - 44511. Calculate the least common multiple of f(-40) and k.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 3*v**2 + v**3 - v**2 - 5*v**2. Let g be w(2). Suppose 5*l = 17 - 7. Solve 4*h = -l*y - 16, -g*y + 6*h + 20 = h for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/12 + 2\/6. Let x be 17\/(-51) - (167\/(-123) - -1). Which is smaller: o or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 5262152?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -10377.\nAnswer: -2\/3459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-49)\/(-14)) - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 24*v + 6. Suppose -x + o - 10 = 3*o, -4*x + 3*o - 7 = 0. Let h be u(x). What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 26*n**2 + 10*n + 3. Let k(u) = 26*u**2 + 10*u + 3. Let r(v) = -3*d(v) + 4*k(v). What is the tens digit of r(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = p + l, p + 6 = -3*l + 4. Put -12, p, 5 in increasing order.\nAnswer: -12, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*w**2 + 11 - 11 - 2*w + 0*w**2 as x + o*w**2 + u*w and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**2 - 29*l - 9. Determine g(-29).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -267 - -24600?\nAnswer: 24311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*t**3 + 2*t - 6*t**3 - 14 + 8 + 2 to b*t**2 + v*t**3 + h + a*t and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2\/7 (b) -0.013 (c) 24 (d) -2\/3 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -2*(-1)\/4*-2. Let l be (s - -1)\/(9 - 7). Solve -2*d = -l*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 32 and 592?\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, 2, 4, -16.6?\nAnswer: -16.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 160*n - 315. Let v(k) = 5*k - 4. Let x(g) = -m(g) + 25*v(g). Give x(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q**2 + 5*q**2 - 2*q**2 - 3*q**2 to the form g + d*q**2 + t*q and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 4079 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15594323?\nAnswer: 197, 79159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*f**3 + 45 - 3*f**3 + f**3 - 45.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.837 - 2.137. Which is the fourth smallest value? (a) -8.7 (b) 0.2 (c) -0.1 (d) i (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -11) + 0 + (-4)\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1334 a factor of 146046851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1069054.\nAnswer: 2, 7, 19, 4019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 + 39. What is the remainder when p is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -62*z**3 + 82*z**2 - 6*z - 6. Let y(o) = 63*o**3 - 83*o**2 + 7*o + 7. Let n(p) = 7*t(p) + 6*y(p). What is the third derivative of n(q) wrt q?\nAnswer: -336","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of 0 - w - 1\/6*w**3 - 5\/2*w**2. Let q be v(-7). Solve -3*i = -3*s - 6, q*s = -i - 1 - 0 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 223467 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, k: 3, a: 1, d: 4, v: 3, r: 4}. Give prob of picking 1 a, 1 k, and 1 r.\nAnswer: 3\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) 1\/6 (b) -29 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -29 - -41. Let m be s - 4\/(4 - 8). Let p be 4\/10 - 26\/(-10). Solve 0 = 4*c + p + m for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 417 minutes before 7:27 AM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 270 is divided by 26.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32\/(-40) - 1604\/(-5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -24*f + 50*f - f**2 - 15*f + 0 - 4. Determine y(9).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**3 + 12*o**2 - 9*o + 19. Let x be m(-13). Let s = 53 + x. Let y(p) = -2*p + 7 - 11*p**2 + s*p**2 - 10*p**2. Calculate y(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -102*a - 6 = -102*a + 2*t, -48 = -5*a + 2*t - 77 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 145 + -93. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.18 - -0.08. What is r rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (77 - 77 + 13*r)*(-6 + 4 + 0).\nAnswer: -26*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 8605 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -3 + d**2 - 3*d + 0*d**2 + 7*d. Suppose -5*r - 2*b - 15 = 3*b, -3*b + 9 = 0. Calculate q(r).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 31944?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1792 + 1796. What is the closest to 0.3 in v, -22\/3, -0.1, 2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1905*m + 507 - 507.\nAnswer: 1905*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 113880 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 46*i**5 + 270*i**2?\nAnswer: 2760*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 50*v**3 + 466 - 153 - 155 - 158.\nAnswer: 50*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391641 is divided by 346.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9468448 a multiple of 352?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 3132 a multiple of 54?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2.45 - 125.45. Let o = g + 122.5. Which is the closest to 2\/9? (a) o (b) 0 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -15*o + 11*o + 1880. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 - 1 = 30*w - 71. Let q(z) = -3*z**2 + z - 36. Let p(n) = -4*n**2 + n - 54. Give w*p(l) - 7*q(l).\nAnswer: l**2 - 2*l - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/2)\/(30\/(-53280)*12).\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than -25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 14*h - 384. Determine t(27).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 5.1. Let t = -11\/6 - -1\/3. What is the closest to q in -1\/3, -2\/23, t?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from yyyyywywyy.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, a: 3}. Give prob of sequence uuu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 7. Let o = -7 - -1. Let r be 2\/4*o\/9. Sort t, r, 0.04.\nAnswer: t, r, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32409782 divided by 38.\nAnswer: 852889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13.53369 months?\nAnswer: 0.011278075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -52, 1.8, 0?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14284 is divided by 3558.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*(-8)\/(-200)*-2.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 149173207 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 33144509*i*o - 54853119*o wrt i?\nAnswer: 33144509*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -219 + 229. Solve -4*k = h - 22 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149833\/884900 - 6\/8849. Calculate the common denominator of 77\/30 and k.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*u + 3 - 5 - u + 5*u - 4*u + 0*u + 11*u - 29*u - 32*u + (-2 + 2 + 2*u)*(3 + 1 - 2) - 2*u + 3*u - 2*u.\nAnswer: -51*u - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y + 4*y + y)*(3*y + y - 2*y) - 4*y**2 - 2*y**2 + 4*y**2 - 3*y**2 + 5*y**2 + 0*y**2 + (-2*y + 5*y - 4*y)*(-y + 3 - 3))*(-163 + 163 + 24*y**2).\nAnswer: 120*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.051 - -0.051. Let s be (-189)\/315*(1 - (-2)\/(-6)). Put l, -0.5, 2, s in descending order.\nAnswer: 2, s, -0.5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 20 and 157?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 11, 18, -17, 709 in decreasing order.\nAnswer: 709, 18, 11, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((3*(sqrt(76) + sqrt(76)*-3)*-2)**2 - (2 + (sqrt(76) - -1*sqrt(76)) - sqrt(76)*2*-1)**2) + 1.\nAnswer: -32*sqrt(19) + 9725","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*d - 5 - 2, 5*d + 15 = 2*v. Suppose 2*b = -10, v*c - 4*b - 83 - 117 = 0. Let w = 9 + 45. Calculate the highest common divisor of c and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrmrrerrr. What is prob of sequence mre?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3\/4865 - -73993\/72975. Find the common denominator of -62\/213 and f.\nAnswer: 5325","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (4*sqrt(117))**2 - -1*(sqrt(13) + 1)*-6.\nAnswer: -6*sqrt(13) + 1870","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes before 5:21 AM?\nAnswer: 7:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.98 + -0.02. Let k = 28 - 28. Which is the closest to k? (a) 1 (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 39, 15, -3, -1, -2, -880 in ascending order.\nAnswer: -880, -3, -2, -1, 15, 39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 822901784?\nAnswer: 2, 102862723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.4 and -1329870.\nAnswer: -1329869.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 265 is divided by 38?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -175572 = 2306*i - 2324*i. What is the tens digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the third derivative of 1\/180*i**6 + 0*i + 2\/3*i**3 - 1\/15*i**5 + 0 - 1\/36*i**4 - 289*i**2. Factor c(t).\nAnswer: 2*(t - 6)*(t - 1)*(t + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 3*b**3 + 1 - 4.\nAnswer: -3*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -0*s - 90. Let k be (-72)\/s*10\/(-4). Let g(o) = 3*o + 16. Let h be g(-6). Sort -5, k, h in descending order.\nAnswer: k, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -0*w. Let t = 0.931 + 0.069. Which is the nearest to t? (a) w (b) 5 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m**2 + 1115*m - 2227. Let i be t(2). Solve -i*y + 238 = -73*y for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22364, -21455, -19946, -17837?\nAnswer: -15128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -0.1, 0.052, -85, -1\/9, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/2702 and -95\/8.\nAnswer: 10808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gmdvvvdvgyd. What is prob of sequence vvvg?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c*c*c\/(c\/((c\/c**0)\/c))))\/c)\/c*c**4)\/(c**3\/(c*c\/c**(-1\/6))) assuming c is positive.\nAnswer: c**(1\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -4*f + 44. Let n be q(10). What is the second derivative of 0*a**5 - 20*a**n - 18*a - 4*a**5 + 6*a**5 - 42*a wrt a?\nAnswer: 40*a**3 - 240*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 859\/1291 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061429 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-294)\/(-35))\/(165\/(-275))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*y - 125642*y**3 + 4*y - 14*y.\nAnswer: -125642*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(-4)\/((-48)\/4).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3763 + -3766. What is the smallest value in -0.3, 535\/6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -6*a + 29. Let q(x) = -3*x + 15. Let v(d) = 2*g(d) - 5*q(d). Let b be v(7). Suppose b*l + k = 928 + 394, -5*l + 1645 = 5*k. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -26*v - 29*v - v**3 + 2*v**2 + 1 + 4*v**3 + 43*v as o*v + j*v**2 + d*v**3 + t and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 11355501522 + -1?\nAnswer: 11355501521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 2*v**2 + 2*v**2)*(5*v**2 + 2*v**2 - 4*v**2) + (29*v**3 + 20*v**3 - 73*v**2 + 2*v - 51*v**3)*(2*v**2 - 2*v**2 + v**2) - 3*v**4 - v**5 + 3*v**4.\nAnswer: -9*v**5 - 73*v**4 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 23 (b) 1.541 (c) 3\/2 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, -0.2, -2\/7, -0.4, 9\/14, -1\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3 + -9*(-2)\/3. Solve -3*c = -s + 13, -4*s = c - s - b for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 2:32 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 1430*p**2 - 29*p - 74. Is 13 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1 + 1.2. Let a = 0.8 + q. Let v = a - 3.2. Which is smaller: 2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 2, 0, -2\/5, -49, 1.2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the first derivative of -19*n**7\/840 - 11*n**4\/12 + 8*n**3\/3 + 15. Let o(a) be the third derivative of w(a). Differentiate o(d) wrt d.\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iuwbxgb. Give prob of sequence gb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -1 + 7 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) be the second derivative of -3*d**8\/56 + 99*d**5\/20 + d**4\/6 + 27*d**2\/2 + 224*d. What is the third derivative of r(y) wrt y?\nAnswer: -360*y**3 + 594","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 9) in base 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a millennium in years?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a. Let x = 8 - 3. Let m(p) = -4*p**2 + 7*p + 7. Let d(r) = 3*r**2 - 5*r - 5. Let t(g) = x*m(g) + 7*d(g). What is n(t(q))?\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the second derivative of -19*y**6\/30 + y**3\/6 + 26*y. What is the second derivative of x(u) wrt u?\nAnswer: -228*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (121\/(-33))\/((-2)\/(-6)). Let n(m) = m**3 + 12*m**2 - 14*m - 5. Let c be n(w). Suppose 3*h + 2*h - c = 0. Is h a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6*285\/225 - (-9 + 1)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or -239\/377?\nAnswer: -239\/377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4331711 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/8 + 18886\/(-72). Let d = 263 + z. What is the third smallest value in 5, d, -1, 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 115030, 115029, 115028, 115027, 115026?\n\"Answer: -n + 115031","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 3*h + 10. Let p = 503 + -510. Give o(p).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5364 (base 14) to base 6\nAnswer: 150352","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from memm.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*sqrt(637)*-2 - sqrt(637)) + -2)**2 - (sqrt(78)\/sqrt(54) + -1)*4) + -2.\nAnswer: 1088*sqrt(13)\/3 + 107659","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15939 and 9828?\nAnswer: 2486484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 45 = 5*a, 2*a + 0*l + 7 = -3*l. Let k = -7 - a. Let q = -3 - -5. Solve k*r - q + 6 = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-36)\/270)\/((-1)\/(-5)). What is the biggest value in -0.1, -1, n, -2\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 65 = 2*r. Let k(s) = 15 - 15 - r*s**2. Let c(i) be the first derivative of i**2\/2 - 76. What is k(c(x))?\nAnswer: -13*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1\/(-138))\/((-63)\/(-30) + -1). Let u = q + -73603\/3036. Find the common denominator of -97\/170 and u.\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l*l*l**(-10)*l**(2\/13)*((l\/l**(-11))\/l*l)\/l**(-2\/17) assuming l is positive.\nAnswer: l**(1165\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 998 + -1016. Calculate the common denominator of 49\/24 and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 3880 = -h, -5*m - 121*h + 6464 = -120*h. Is 1295 > m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -161*b**3 - 3*b + 3. Let g(k) = -162*k**3 - 2*k + 2. Give 3*g(n) - 2*i(n).\nAnswer: -164*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -110313003 (base 4) in base 10?\nAnswer: -85443","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 less than 76133.400621?\nAnswer: 76133.700621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -26\/5*a**2 - 64\/5 + 88\/5*a + 2\/5*a**3.\nAnswer: 2*(a - 8)*(a - 4)*(a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 5*a - 2*a. Let z be (0 - -3)\/(24\/8). Let f be (-2 - z)*75\/a. What is the greatest common factor of 5 and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -9994, -10184, -10374, -10564?\n\"Answer: -190*o - 9804","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 319710 is divided by 214.\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 158 - 154 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = 6*x - 5*v + 145, -3 = 3*v. Let n be (10 - 7)*4\/x. Which is the third smallest value? (a) -17\/8 (b) -1\/2 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -36 - -110\/3. Factor 0*d**2 - n*d + 2\/3*d**3 + 0.\nAnswer: 2*d*(d - 1)*(d + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92.64963 months to decades.\nAnswer: 0.77208025","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 2*p**2 - 10. Let i(m) = 7*m + 1. Calculate i(b(y)).\nAnswer: 14*y**2 - 69","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10802 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8.7 - 13. Round n to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/513 and 32\/57051.\nAnswer: 1083969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*z**3 + 25*z**3 - 5*z**3.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112351 - 64854 = -677*t - 514*t - 944*t for t.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 241*g**2 + 730*g + 37. Give u(-3).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 154 - 134 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 5 - 2 + 2406*d - 2370*d.\nAnswer: 36*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1169 + 17537\/15. Sort 2, 3\/5, -2\/9, z.\nAnswer: -2\/9, z, 3\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16*w**6 - 464*w**5 - 932*w**3 + 7*w**2 + 14772281 wrt w?\nAnswer: 1920*w**3 - 27840*w**2 - 5592","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -2\/7, 0.092596?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 200201 (base 3) to base 6.\nAnswer: 2201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 - 2*y - 2. Let t be a(0). List the prime factors of ((-3)\/(-12)*t)\/(11\/(-8250)).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4*h - 18. Let s be d(-6). Solve s*f = -1 + 13 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - v = -15, v - 2 + 13 = w. Suppose -2*a = -11 - w. Suppose -2*p + 6*p = a. Solve 0 = -5*j + p*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of 5*u**7\/42 - 7*u**3\/3 + u**2 + 25. Find the first derivative of a(i) wrt i.\nAnswer: 100*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -142*z**4 + 84*z - 1 wrt z?\nAnswer: -1704*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 1:28 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 676\/(-3) + (-6)\/(-18). Let z be ((-4)\/(-10))\/(5\/p). Let y = -8 - z. Calculate the remainder when 27 is divided by y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000005494552 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 172, 35, -5 in decreasing order.\nAnswer: 172, 35, 16, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 9918, 27890, 57828, 99720, 153554, 219318, 297000, 386588?\n\"Answer: -2*s**3 + 5995*s**2 + s + 3924","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-183 - 330 - 239)*(1 - 2 - 1)*(-2*f - 9 + 9).\nAnswer: -3008*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -d + 11, z + 50 = 4*d. Sort -1, z, 0.2, 5 in decreasing order.\nAnswer: 5, 0.2, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -13 (b) -1 (c) 3 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a millennium in decades?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -335 - -1662\/5. What is the common denominator of -95\/14 and v?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + r**2 - 2*r. Let t(v) = v + 3. Suppose 3*b + 3*m + 24 = 0, 82 = -5*b + 3*m + 2. Let c = b - -8. Let j be t(c). Calculate n(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j**2 + 14*j. Let m be a(7). Suppose -2*y + i + 274 = m, 0*y - y + 137 = 4*i. Let k = -74 + y. What is the units digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11778161 is divided by 116.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*q + 18*q - 128 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -63 + 174. Suppose -5*k + m = -2*k. Let h = 53 - k. Is h a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -5*h**2 - 85920*h + 257805 = 0.\nAnswer: -17187, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 85 = 3*v, -v - 2*v - 15 = 0. Let b be 12\/(-18)*6*-5. Let m = t - b. Solve -1 = -s - m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2006144 and 123145?\nAnswer: 2239","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 23*y**3 - 4*y**2 + 13*y - 6. Let k(d) = -4*d**3 + 2*d - 1. Let n(i) = -4*k(i) + q(i). Give n(1).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 4) to base 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -129*r - 95. What are the prime factors of c(-9)?\nAnswer: 2, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 17*y - 117. Suppose -43*v - 66 = -45*v. Is 42 a factor of u(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 + 6678 - 6678. Let n(i) = 41*i - 5. Let w(b) = 42*b - 4. Let u(j) = -5*n(j) + 6*w(j). Determine u(t(g)).\nAnswer: 47*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) -0.16 (c) -1\/6 (d) -1\/4 (e) 563\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwwlwlwlwwlwlwwwwww. Give prob of picking 4 w.\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**2 + 0*b**2 + b**2 + 6*b**2. What is the units digit of g(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 11) to base 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = -0*r - 4*m - 2, -3*m = r + 4. Suppose j - r*t - 16 - 27 = 0, -2*j + 76 = t. Let b = j - 35. Solve -5*l + 6 = -2*w, 4*w - b*l + 6 = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*66\/(-12)*((-4)\/(-1))\/((-155)\/310)\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 5707 = 5*a, 3*q - 5163 = -4*a - 603. Which is bigger: a or 5711\/5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.72645 to 2 dps.\nAnswer: -4.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 30 and -1535.5?\nAnswer: -46065","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 5*d - 4, -n + 7 = -d + 2*n. Suppose -c + 1 = -d*g - 4, 10 = -5*g + 2*c. Solve -4*z - t = t + 26, g = -3*z + t - 12 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**3\/5 - 18*g**2\/5 + 72*g\/5 = 0.\nAnswer: 0, 6, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor z**2\/3 - 26355*z - 316276\/3.\nAnswer: (z - 79069)*(z + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*w = -10, 5*c + 209*w - 210*w + 24 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - q - 10. Let y be j(-5). Let t be (-12)\/y + 0 - (-17)\/(-5). Let n(r) = r + 2. What is n(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70680 and 205995?\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = t**2 + 9*t + 5. Let k be 45\/12*60\/25. Let c(z) = z**3 - 5*z + 4. Let a be c(2). Suppose k = f - a*f. What is h(f)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3650*v - 3646*v - 5*u = 76, 2*u + 36 - 7 = -2*v + 5*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 16974746 to the nearest integer?\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 152\/7*t + 0 - 2\/7*t**2.\nAnswer: -2*t*(t - 76)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 5*l**3 - 2*l**2 - l + 2. Let a be r(1). Solve -5*q - 2*i + 12 = -a*i, 0 = 3*i + 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96493 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**2 - 32030*g - 1247662. What is c(-39)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2483574*g + 4602765.\nAnswer: -2483574","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 647, 2664, 6041, 10778, 16875, 24332?\nAnswer: 33149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y**3 - 5*y**2 - 8*y + 7. Suppose -4*d + 4*o = 4, -o - 3 + 0 = 0. Let t be ((-2)\/3)\/((-4)\/12). Let r = t - d. Calculate w(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1445377071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-3)\/(-4))\/(3\/(-36)). Let l = -5 - j. Solve 16 = -3*r + x, -l*x + 3 + 1 = 3*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 8 + -22 + (-1 - -5). Let h be (2\/(-5))\/(1\/s). Solve -2\/15*u**2 - 2\/15*u**3 + 2\/15*u**h + 2\/15*u + 0 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 20, 56, 128, 248, 428, 680, 1016?\nAnswer: 1448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.08 (b) -13 (c) 90 (d) 5 (e) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-4 + 0 - (-1 + -2)) + 6\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -80 - -84. Put 1, n, -2, -5 in decreasing order.\nAnswer: n, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 7*n. Let i(x) = 39*x**2 + 6. Let v = -71 - -73. Let w(h) = 39*h**2 + 4. Let l(r) = v*i(r) - 3*w(r). What is l(d(c))?\nAnswer: -1911*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of 774516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*k**2\/5 + 1287621*k\/5 - 1287618\/5 = 0. What is k?\nAnswer: 1, 429206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -13701 (base 9) to base 7\nAnswer: -36106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**3 - 6*w**2 - 7*w - 1. Let l be r(-5). Let u(z) = z - 9. Let h be u(l). Which is the nearest to 1? (a) 6\/11 (b) h (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -47539 or -47526?\nAnswer: -47539","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ay when two letters picked without replacement from {q: 2, y: 2, a: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3\/10 - 1313*l**2\/10 + 393*l.\nAnswer: l*(l - 1310)*(l - 3)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9192 is divided by 7753?\nAnswer: 1439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 5 - 1\/6*h**2 + 4\/9*h**3 + 0*h. Factor n(c).\nAnswer: c*(4*c - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 3*u**4\/4 + 55*u**2 + 3824*u - 3299. Differentiate d(l) with respect to l.\nAnswer: 9*l**2 + 110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1477?\nAnswer: 7, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, -1, -4.\nAnswer: -30, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/280, 0, 1\/9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 4*x - 17 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -3836 divided by -6\nAnswer: 1918\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4520)\/450*-10 + (16\/9)\/(-4)?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3925)\/(-13345))\/(15\/(-12)*2)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - 1. Let g(n) = -4*n - 35. Let j be g(-12). Suppose 0 = -3*r - 6*c + 2*c + j, -c - 49 = -4*r. Solve 5*m + 5 = w, m - r = 4*d + 4*m for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5909998 by -14.\nAnswer: 2954999\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3754145?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of -3947*y**5\/60 - 1862*y**3\/3 - y**2 + 1125*y. Differentiate b(r) wrt r.\nAnswer: -7894*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 103 + -25. Suppose -l = -6*w - 7*w. Solve 0 - w = -2*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3053 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45280 is divided by 44662?\nAnswer: 618","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 8881 * 465.45\nAnswer: 4133661.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(2880) - -6*(sqrt(2880) - (sqrt(2880) + -2*sqrt(2880) - sqrt(2880) - sqrt(2880))))\/((-1*sqrt(81) + sqrt(81))*-5 + sqrt(81)))*5 + -4.\nAnswer: 11 + 1000*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qu when two letters picked without replacement from qhvvpvpvpuupvpvvtvpp.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - d**2. Let b(z) = -3*z**3 + 4*z**2 + 10*z + 5. Let m(x) = x**2 - 24*x + 22. Let y be m(23). Let n(g) = y*b(g) + 4*h(g). Give n(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 29875556, 59751288, 89627034, 119502800, 149378592, 179254416, 209130278?\n\"Answer: v**3 + v**2 + 29875722*v - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) 25 (c) 100 (d) -3 (e) -4 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + (-1)\/3 + (-128)\/(-24). Suppose o*w = 5738 + 13367. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -57\/34 - -2725\/1666. Let n = y + 398\/147. Determine h, given that 2\/3 + 4\/3*h**4 + 5\/3*h + h**5 - 2*h**2 - n*h**3 = 0.\nAnswer: -2, -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4911753 to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sum 20 and 7153.\nAnswer: 7173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 2*m + 3, 2*w + 2*m - m - 6 = 0. Let i = w + 2. Let s be 0\/(-3) + -3 + i. What is the closest to -2 in 1\/3, s, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 372 + -372.87. Let w = -0.86708 - a. Round w to three dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*g + 45 - 45)*(-g**3 - 2*g**3 + 13*g**3) - 3*g**4 + 3*g**4 - 3*g**4.\nAnswer: -173*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -18\/25 not equal to -0.0511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 2*k**2 + 4*k + 2. Let x be t(-4). Let b(z) = -9083*z + 54506. Let y be b(6). What is the highest common divisor of x and y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -9897*i + 6492 wrt i?\nAnswer: -9897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = -l + 20 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 553\/(-79)*4\/(-42)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3439 - 3438.9999957108. Round c to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -27) + -20 - 29?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/(b**(1\/36)\/b))\/b)**(3\/8)*(b**(-1\/10))**(-30))**(-50) assuming b is positive.\nAnswer: b**(-8075\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, -175 in increasing order.\nAnswer: -175, -4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 70 + (-15)\/5 + 1. Let m = n + -77. Let a be 4 + (m\/(-7))\/((-18)\/60). Put 3, a, 0.2, -0.2 in descending order.\nAnswer: 3, 0.2, -0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-116)\/(-6)*(-14)\/((-84)\/9). Suppose 33*k = p*k + 348. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.66 + -0.16. Which is the nearest to -4? (a) -1\/6 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -51.015 and -0.5?\nAnswer: 50.515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -617393, -2469569, -5556533, -9878291, -15434849?\nAnswer: -22226213","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor m**2\/9 - 1234*m\/3 - 3703\/9.\nAnswer: (m - 3703)*(m + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u. Let b(d) = -9*d**2 - 7*d. Give g(b(w)).\nAnswer: -36*w**2 - 28*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 85128 is divided by 129.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuuuuultuiuffxlutu. Give prob of picking 1 f and 1 i.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 5*b**2 + 2*b + 6. Let i = 65 - 57. Suppose i*z - 10 = 30. What is the units digit of s(z)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -1\/5, 4, 110, 41497?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 611 = 2*k - 949. Suppose -k = -0*r - 5*r. What are the prime factors of -2 - 0 - r\/(-3)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -37 - (-34 - (8 - 22)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 37 by 31.\nAnswer: 37\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/22, -2\/17, -0.1 in descending order.\nAnswer: 3\/22, -0.1, -2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 17\/2 in 8, 47, -0.5, 1\/4, -1\/3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001010111 + -100101101001?\nAnswer: -1000111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (54\/(-75))\/(117\/(-1950))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 > -1\/2458?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (6 - 0)) + 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -500 = -4*x - 92. Suppose -3*l - 38 = -4*l - 5*m, 4*l = 5*m + x. Suppose -6*j - 5*g = -j - 35, -2*j = -5*g - l. What are the prime factors of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zf when two letters picked without replacement from qonzfmm.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1206 divided by -9?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2298549?\nAnswer: 3, 11, 69653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -27 + 24 - (1 + -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -20*c + 1. Let v = 247 - 239. Suppose v*y - 3 = 5*y. Give o(y).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 118 + -109. Solve -i = 2*y - 5*y + h, -2*i - 12 = -3*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 215 - 138. Is 19 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7237 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3828 = 319*h - 187*h for h.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 3*b + 63. Let n be 2\/b + (-25)\/(-9). Suppose -d - 5*o = -34, n*o + 46 = 2*d - 61. What is the tens digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/12*0)\/(2\/(-2)). Suppose t*j - 4*j = 0. Determine c, given that 0*c - 2\/5*c**2 + 2\/5*c**4 + j*c**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/3))**(16\/3)*g*(g\/(g*g*g**6*g*g))\/g*g**(-2) assuming g is positive.\nAnswer: g**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.6 - 3.472. Let t = 1.872 + m. Put -4, t, 43 in increasing order.\nAnswer: -4, t, 43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((sqrt(104)*2)\/sqrt(8))**2*-2 + sqrt(26)\/(sqrt(4)\/sqrt(2)) + (sqrt(13) - (sqrt(1300) + -1))**2 + 1.\nAnswer: -17*sqrt(13) + 949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 n when three letters picked without replacement from yyynyyysyyggyyyn?\nAnswer: 11\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 31833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (25 + -14 + -10 - -19)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, -2\/505, -0.5, 0.9, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (33957*b - 5*b**4 - 16955*b - 16827*b)*(3 + 0 - 2).\nAnswer: -5*b**4 + 175*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -190794*q**2 + 1248*q + 168 wrt q.\nAnswer: -381588","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 52 - 9*m**2 to the form g + d*m + k*m**2 and give k.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) 35\/6 (c) -0.4 (d) -195 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 43, 164, 295, 376, 347, 148, -281?\n\"Answer: -10*v**3 + 65*v**2 - 4*v - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 48892, 4, 29 in increasing order.\nAnswer: -3, 4, 29, 48892","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 166645 is divided by 1488?\nAnswer: 1477","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 57 + -39. What is the smallest common multiple of b and (-73)\/(-3) - (-3)\/(-9)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3. Let f(p) be the first derivative of -27*p**5\/5 + 5*p**4\/4 + 8*p + 8. Let b(u) = f(u) + 5*h(u). Differentiate b(t) with respect to t.\nAnswer: -108*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5065 + 9462. List the prime factors of u.\nAnswer: 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-46651)\/89061*(-24)\/(-22).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -1\/138, -0.09, 0, -0.055?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 415*f - 425*f + 50. Solve -20 = f*y, -5*h + 3*y = -0*y - 7 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2237*p**2 - 276*p**2 + 833*p**2.\nAnswer: 2794*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a5b2 + 6eb?\nAnswer: -9ec7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes before 9:18 PM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/10 (b) -3.4 (c) 2\/5 (d) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 602?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 369 - 2*z**4 + 3*z**2 + 25*z + z**3 - 4*z**2 - 369 to the form c*z**2 + g*z + v*z**3 + y + l*z**4 and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.661015t?\nAnswer: 9661015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 549817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -q**2\/2 - 1658*q - 3315\/2 = 0.\nAnswer: -3315, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -25.4097 and 624.9662?\nAnswer: 650.3759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -11*r**2 - 3053992*r + 3053992*r. Let f(d) = -116*d**2. Determine f(t(v)).\nAnswer: -14036*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3357 and 11936.\nAnswer: 107424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*l**3 - 4*l + l**3 - 2*l**3 - l**2 to a*l**2 + j + c*l + h*l**3 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 70825 divided by 14165?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*h**2 + 0*h**2 - 2*h**2)*(-5 + 20 + 6 + 2*h) as a*h**2 + b + z*h + c*h**3 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*z + 117 - 117.\nAnswer: 15*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*j + 994 - 266 = 0 for j.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.2 + -2.2. Let r = p + -5.1. Let t = -2.1218 - r. What is t rounded to 3 decimal places?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -531404 (base 6) to base 9\nAnswer: -65144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52052 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.07 and 37.\nAnswer: 2.59","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 775642 is divided by 124.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 6226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 0*g + 0*g + g + 5. Let i be z(0). Suppose 0 = -0*a + 4*a. Sort i, 1, a in ascending order.\nAnswer: a, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -188429.42 to the nearest one hundred.\nAnswer: -188400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751209 is divided by 129?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = 471*a**2 + 5*a - 6. What is the units digit of h(1)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5 + -136?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.714, -4, -3\/4, 0.1, 2.6?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2168?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 24 = -3*x, 4*x - 3*b - 13 = 2*b. Let k(g) be the second derivative of -g**3\/3 + g**2\/2 - g. Let v be k(-2). Put -5, x, v in ascending order.\nAnswer: -5, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence weo when three letters picked without replacement from wvwwwewonwwxoxw.\nAnswer: 8\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes after 11:17 AM?\nAnswer: 11:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 + 8*h**2 + 12*h + 3. Let c be t(-1). Let p(u) = u**2 + 1. Give p(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*c + 73*c + 104*c - 44964 + 28896 = 0 for c.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -43. Let n be 1*(-4)\/((-8)\/42). Suppose 16 - n = 5*s. Put s, x, -6 in decreasing order.\nAnswer: x, s, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 3. Let h = 1 - y. Suppose h = -0*g - g + 9. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 268978\/5 + -53802. Let o = 74389\/15 - 4964. Find the common denominator of v and o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 79864 and 2831.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 2*q - 6. Let g be r(-8). Let h = -34 - g. Is ((-8)\/h)\/(4\/474) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/39)\/(588\/63 - 9).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(6\/(-10) + 1). Let x = 4 - 6. Sort x, p, 4 in increasing order.\nAnswer: p, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6721 and 533?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 2*w + 9. Let a be u(-4). Solve 8 = -3*s - h, -5 + a = 2*s + h for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from uluwrhrw.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3350 + 0?\nAnswer: 3350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + a?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 + 28 = o. Let p = 128 + o. Suppose -5*t - p = -816. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*d - 0*d. Suppose 0 = 3*w + 2*f - 18, 0 = 3*w - d*w - 4*f - 20. Suppose -2*j = -0 - w. Solve 2*l - 3 = t + j, 0 = -2*l + 6 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of v**5\/20 - v**4\/2 + 5*v**3\/6 + 2*v**2 + 20*v. What is l(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 42 - 43. Let s(k) = -k**2. Let u(w) = w**2. Determine r*u(m) - 2*s(m).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 101\/214512 and -67\/88944?\nAnswer: 3646704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (98\/(-7))\/(-28)*(-272)\/68\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) -0.03 (c) -28048\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/924 + 16\/(-714)?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d. Let x(q) be the second derivative of q**3\/6 - q. Let o(v) = 2*h(v) - 7*x(v). Let n(s) = 4*s. Let j = 214 - 212. What is j*n(l) + 9*o(l)?\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 PM and 12:12 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 11 = 9 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 5)*(2 - 2 + 1)*(q - 2 + 2 + 3 - q - 3 + (4*q - 5*q + 3*q)*(-2 + 2 - 2) + 2*q + 2*q - 5*q - 2*q + 0*q + q) + 6*q + 139 - 139.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1 + -4. Let f be (-6)\/3 - (-1 + 5). Let t = f + 4. Put t, 4, v in increasing order.\nAnswer: v, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12222044 (base 5) to base 3.\nAnswer: -12221200212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5*n*o**2*z + 4932187*n*o**2 + 2*n*z - o**2*z + 9*o**2 + o*z - 3*o - 25*z + 103 wrt n.\nAnswer: -5*o**2*z + 4932187*o**2 + 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -777*g + 3066. What is the hundreds digit of v(-45)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/10)\/((-1)\/(-5)). Let b = -138428 + 138431. Suppose 2\/7*w**b + 2\/7*w**4 + 4\/7 - 2\/7*w - 6\/7*w**c = 0. What is w?\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -g + 3*t + 76, g + 19 = -4*t. Let x = 30 + g. Suppose 7*p + 100 = x*p. Which is smaller: p or 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3952107 to the power of 1\/2, to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 37. Suppose s*t + 636 = -4*n, 2*n = t - 139 - 170. Is -1*(-1 + n) - -4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/15*-3*610\/244. Solve -8\/5*k**4 + 0 - 2\/5*k**5 + 0*k + 0*k**f - 8\/5*k**3 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -12216 smaller than 25.75?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and 0.1916.\nAnswer: -0.1084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -60107, -120028, -179615, -238700, -297115?\n\"Answer: 28*y**3 - y**2 - 60114*y - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 261*k = 258*k - 18 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.3 + -0.4. Let a = -5.2 - -0.2. Which is bigger: u or a?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -284, -1111, -2476, -4367, -6772, -9679, -13076?\n\"Answer: 2*a**3 - 281*a**2 + 2*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 22\/2123505 and 55\/3822309.\nAnswer: 19111545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**7\/((u\/(u*((u\/u**(-12\/5))\/u)\/u))\/u) assuming u is positive.\nAnswer: u**(47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/6*0 - -10. List the prime factors of r\/(-45) - (-166)\/18.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -7\/4, -105, 13?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 2b2820 (base 13) to base 15\nAnswer: 15ec54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -6*r**2 + 1733. Let p(o) = -30*o. Determine m(p(l)).\nAnswer: 360*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22.41 - -21. Let p = -1.708 - s. Let b = p - 0.002. What is the third biggest value in 4, -2\/3, b?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 2*n + 3*n + 0*n - 2. Let y be x(-5). Let l be 7\/14*4*2. Which is the nearest to 3? (a) -0.5 (b) y (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 521923527 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 131949 is divided by 1775.\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 373.\nAnswer: 1492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/101 - -1311\/202. Let l = 9\/4 - m. What is the common denominator of 412\/(-96) - (-2)\/(-6) and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.081 - 5.081. Let i = 10.15 + -0.15. Let r = v + i. Sort 0.1, -1, r in descending order.\nAnswer: r, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(209)*3*-3)\/sqrt(11) - (-5 + sqrt(38)\/(sqrt(18)\/sqrt(9))))**2.\nAnswer: -500*sqrt(19) + 9625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4644072 (base 8) to base 15.\nAnswer: 19e64e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -160.45443 + 148.0301. Let q = y + 0.42503. Let g = -12 - q. What is g rounded to four decimal places?\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 4. Let s(j) = j - 1. Let a(h) = 3*s(h) + x(h). What is the units digit of a(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 times 5095.5?\nAnswer: 50955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -2*z + 3. Let j(g) = 11*g - 17. Let a be -2 + 4\/((-1)\/(-1)). Let c(x) = -12*x - a + 5 - 1. Let p be c(3). Determine p*v(i) - 6*j(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*m**3 - m**3 + 16*m**3.\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is d622 - 1?\nAnswer: d621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 12*x**5 + x**3 - 24795*x**2 + 107489*x wrt x.\nAnswer: 240*x**3 + 6*x - 49590","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.188 - 0.028. Let a = 0.014 - i. Let o = a - 0.2300037. Round o to six dps.\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 337 - 336. Which is the closest to -10\/11? (a) 0 (b) 2 (c) l (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719681 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74698 is divided by 16999?\nAnswer: 6702","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f + 1. Let t be n(-4). Which is the biggest value? (a) -0.6 (b) t (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/(12\/((-1800)\/25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seven fifteenths of a day?\nAnswer: 40320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -529 + 529.2. What is the biggest value in 28, a, -2\/11?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43552355 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 2*a**2 + 4*a - 37. Let g(y) = 6*y**2 + 11*y - 111. Calculate 4*g(u) - 11*j(u).\nAnswer: 2*u**2 - 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*(-5 + (-54)\/(-12)). Is 6\/43 at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/56 and ((-642)\/(-4) + (-13 - -16))\/(-66).\nAnswer: 616","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 368?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + t - 15 = 0, -3*a + 2*t + 53 = 7*t. Solve -h - 5 = 0, -3*h = 2*i - 0*h + a for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -66*w - 189*w + 1081 + 959 = 0 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -51909, -51324, -50739, -50154, -49569?\n\"Answer: 585*k - 52494","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 11. Let q(g) = -9*g + 7*g + f*g - 3*g. Let r(i) = 5*i. Let w(k) = -9*k. Let y(j) = 5*r(j) + 3*w(j). Determine y(q(m)).\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - 2*u + 2*u)*(2 - 2*u - 2)*(-3 - 2 + 3) - 93*u**2 + 75*u**2 + 6*u + 5*u.\nAnswer: -26*u**2 + 11*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 17*t + 39222 = -15*t, 7838 = b + 2*t. Which is smaller: b or 7848?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*u - 1224, u + 30*d - 608 = 25*d. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89875221946 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 386.88 from 1.\nAnswer: -385.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 803\/36 - 212\/9. Sort 0.4, 2, m, 0.05, 26\/9 in ascending order.\nAnswer: m, 0.05, 0.4, 2, 26\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3999302 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 + 0.2. Let b = m + 0.7. Let v = 14 + -12. What is the nearest to 2\/7 in -4, b, v?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 792854189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 2*s = 2. What is the units digit of (-1 + 4)*s - -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 982103, 982105, 982109, 982115, 982123, 982133, 982145?\nAnswer: 982159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 724 = -36*j - 176 for j.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 153865?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 39771\/36 - 8\/(-32)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*p - 16, -4*p = -p + 6. Suppose 0 = -n*j + 4*j + 4. Solve -3*r = 8 - j for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -2 + 3 + 6 + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -a**2 + 12100*a - 36602500 = 0. Calculate a.\nAnswer: 6050","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20796 + 20791. Let c(b) = -b**2 + b + 11. Let d(u) = -2*u**2 + 2*u + 22. Give h*c(a) + 3*d(a).\nAnswer: -a**2 + a + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 3*m**3 + 11*m**3 + m**2 to x*m**2 + g*m + q + o*m**3 and give o.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by 3910700.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 4*u - 183. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2*2\/(-1)*2. Let i(t) = t**2 - 9*t + 5. Let s be i(w). What is the tens digit of s + 3*(4 - -3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mattavalatazt. What is prob of picking 1 z, 1 v, 1 t, and 1 a?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 45\/6985264 and -119\/6192.\nAnswer: 62867376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2423891513 to the nearest integer?\nAnswer: 1343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -117 times -565?\nAnswer: 66105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 186*b - 2079 = -219 for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*k + 2*z - 6, 3*k - 127*z + 5 = -125*z for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(n**(-5)*n))**(-37)\/(n\/((n\/((n\/((n\/(n**(10\/9)*n))\/n))\/n))\/n)*n*n*n**(1\/10)) assuming n is positive.\nAnswer: n**(-17119\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 5 - 1 - 3 + 4 - 2 + (-3 + 2 + 0)*(1 + 2 - 1) + 4 - 3 - 2 - 2 - 2 + 5 + 2 + 1 + 3)*(-190*q**2 - 326*q**2 - 27*q**2) as x*q**2 + b + i*q and give x.\nAnswer: 543","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from icbib. What is prob of picking 1 b and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5619, -18312, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 2 - 7)*(3 - 5*p - 3) + (4 + p - 4)*(0 + 1 - 2) to the form t + h*p and give h.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.6 - -5.6. Let v be -3 - ((-80)\/13 - -3). Let r = -9.2336 + 0.2336. Put v, r, d, -1\/3 in descending order.\nAnswer: d, v, -1\/3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-273)\/(-234) + -2 + (-6)\/(-4). What is the smallest value in 0.4, b, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/(-16))\/((-2646)\/1176*(-2)\/(-141))?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2587*z**2. Let j(f) be the second derivative of -f**4\/3 + 8252*f. What is j(m(a))?\nAnswer: -26770276*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**5)\/z*z**(1\/10)*z**7*z\/z**(-3\/8))**30 assuming z is positive.\nAnswer: z**(1617\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 381, 15, 5.\nAnswer: -6, 5, 15, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/2149, 304, -1\/4, 0.05 in descending order.\nAnswer: 304, 0.05, 2\/2149, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = 4*m**2. Let w(f) be the first derivative of -f**2 + 131*f + 4019. What is w(q(l))?\nAnswer: -8*l**2 + 131","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 67*o**3 + 4*o**2 - 18*o + 14. Let i(h) = -34*h**3 - 2*h**2 + 9*h - 6. What is -7*i(w) - 3*j(w)?\nAnswer: 37*w**3 + 2*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 29.48 from -11.3.\nAnswer: -40.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1543?\nAnswer: 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence omt when three letters picked without replacement from {q: 6, t: 9, o: 2, m: 1}?\nAnswer: 1\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.7 + -1. Let v = 264.3 + -264. Which is the smallest value? (a) 5 (b) v (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2987 is divided by 2963?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yzm when three letters picked without replacement from fzynynmnfvfff.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (-113 - 9*z + 114 + 20*z)*(-3*z + 3*z - 2*z**3) as r*z**2 + j + f*z**4 + u*z**3 + y*z and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 7*b - 4. Suppose 6*f + 14 = 7*f. Suppose 0 = p + p - 2*j + f, 2*p - j = -13. Calculate k(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - 5*x**2 - 4*x + 6. Let o be g(5). Suppose 0*i - 8 = i. Let u = i - o. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r + 6*t - 4*t - 30, -2*r + 50 = 2*t. Suppose -5*f = -10*f + r, -f + 28 = 3*b. What is the smallest common multiple of 9 and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 196105?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -45 + 24*k + 36 + 9 + 6*k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of 1\/6*j**3 + 0*j + 1\/60*j**5 - 64*j**2 + 0 + 1\/24*j**4. Let f(a) = 4*a**2 + 4*a + 3. Give 4*f(p) - 14*i(p).\nAnswer: 2*p**2 + 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a - 3. Determine m(3).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 18470, 4\/29, -0.04, 2 in ascending order.\nAnswer: -0.04, 4\/29, 2, 18470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(315)*-1)\/(sqrt(405) - (sqrt(405) + 1*sqrt(405) + sqrt(405))*1).\nAnswer: -sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-86)\/18 + 40\/2340*-13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p**(-7)*p*p**(-31))\/((p\/p**(-21))\/(p\/p**(-9)*p)) assuming p is positive.\nAnswer: p**(-47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -11. Let z be r\/(-1) + 0 + -33 + 32. Suppose -8*p**3 - 9*p**3 + 2*p**3 + 10*p**2 + 5*p**z = 0. What is p?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 3, e: 2, p: 4}. Give prob of picking 3 q and 1 p.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + 18. Suppose 0 = 4*p - g - 4. What is the units digit of p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a tonne in kilograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyp when three letters picked without replacement from {y: 5, p: 1, s: 2, d: 1, n: 3}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246197 is divided by 453?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 393 - 91 = 0. Let u = -4 + 26. What is the remainder when q is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 139 divide 10703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 q when three letters picked without replacement from {v: 2, c: 2, r: 2, b: 1, n: 1, q: 1}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -2*w + 3. Let b(c) be the first derivative of -c**w + 5*c**3 - 8*c**3 + 1. Let o(u) = -2*u**2. Give o(b(v)).\nAnswer: -288*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2*c + 1 - 1)*(0 + 0 + 7) - 11*c - 5*c + 9*c)*(-34*c**3 + 13*c**3 - 21*c**3) in the form v + s*c**4 + y*c + o*c**3 + i*c**2 and give s.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/28*(-2)\/(-3)*24\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -69 - -72. Suppose 17 + w = 10*p. Suppose -2*k - p*n = -5*k + 32, 5*n + 38 = 4*k. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the second derivative of c**3\/3 + 2*c**2 + 43*c. Let g(p) be the second derivative of 0 + 3\/2*p**2 + p + 1\/3*p**3. Give -3*g(x) + 2*m(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -5, 240, 927, 2284, 4539, 7920?\n\"Answer: 38*b**3 - 7*b**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -156 = -11*y + 7*y. Is 4 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 + 62 = -7*c - 5*s, -15 = -5*c + 5*s. Let j(y) be the first derivative of -2 - 6*y + 1\/3*y**c + 9\/2*y**2. Calculate j(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -430 + 445. Sort 5, -8, y, -5 in descending order.\nAnswer: y, 5, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 3*v**2 + 7*v + 7. What is the hundreds digit of h(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pwjwj. Give prob of picking 2 j.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(72) + sqrt(18))*-4*-2)\/((2*sqrt(96) - (sqrt(240) + sqrt(60))\/sqrt(10))*3).\nAnswer: -8*sqrt(3)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -26166, 92, -5 in decreasing order.\nAnswer: 92, 5, -5, -26166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -91*s = -28 + 19 + 1647 for s.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -23*h - 2. Let o be c(-3). Suppose 0*y + o = 2*a - 3*y, -4*y = 2*a - 46. Calculate the remainder when a is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 930 + -445. Calculate the remainder when r is divided by 55.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -206709?\nAnswer: -206710","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 193*a**2 - 98*a**2 + 1741*a**3 - 98*a**2 + 689*a**3.\nAnswer: 2430*a**3 - 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/51? (a) 1\/3 (b) 9 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 5316000 to the nearest 100000.\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = 2*p + 16 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 84923.42 rounded to the nearest ten thousand?\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(-3))\/((55\/((-39600)\/(-888)))\/(2\/(-10)))\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000069485 to seven decimal places.\nAnswer: -0.0000069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -2*c - 45. Suppose -q + c = -0. What are the prime factors of q?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -17\/6483 and 49\/129660?\nAnswer: 129660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -297*n - 86*n + 44*n = 1695. Let u(j) = -2*j + 1 + 7 + 4*j. Calculate u(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w - 8. Suppose -w*p + 23 = 5*s, -16 = p - 2*p - 4*s. Let 24*f**5 - 4*f**4 - 18*f**3 + 2*f + 7*f**4 + 5*f**p = 0. What is f?\nAnswer: -1, -1\/3, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 2*t - 2. Suppose q - t = -5*k - 1, 0 = -4*k - 4. Let d(g) = g**3 - 7*g**2 + g - 2. What is the units digit of d(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k = -11*k + 6. Let p(b) be the second derivative of 0*b**4 + 0*b**k - 1\/4*b**6 + 1\/4*b**7 - 3\/20*b**5 + 0*b**2 - b + 0. Determine m so that p(m) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*v + 900 = -11*v - 28*v for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 21894 - 21893. Sort -511, -5, 3, c in ascending order.\nAnswer: -511, -5, c, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (26553\/159)\/((-1)\/(-256))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-10) - -1*1. Let k(h) = 3*h**2 + 5*h - 13. Let s be k(-5). Let z = -38 + s. Which is the closest to u? (a) -4 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10975209983 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*d - 12 = -2*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 + 5*g + 19. Suppose -25*c - 33 - 142 = 0. Does 12 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1013590 to the power of 1\/5, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*z**2 + 20*z**3 - 36*z - 3*z**4 + 3*z**4 - 4*z**4 = 0. Calculate z.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(1700) + -1*sqrt(1700) + sqrt(102)\/(sqrt(6)*2))**2 + (sqrt(1700)*-2 + 4 + 2*sqrt(17))**2.\nAnswer: -144*sqrt(17) + 22109\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40930073189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -88, -186, -298, -424, -564, -718?\nAnswer: -886","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12871.\nAnswer: 61, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -2 + g + 9 + 3. Let y be f(-8). Factor -j**4 + 2*j**5 - 2*j**3 - 2*j**y - 5*j**4 + 8*j**3.\nAnswer: 2*j**2*(j - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31974 + 39165.1. Round l to the nearest ten.\nAnswer: 7190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -4 and 90 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-185)\/259)\/((-1)\/7) - 0. What is the highest common factor of 300 and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -133, -156, -195, -250, -321?\n\"Answer: -8*s**2 + s - 126","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-45)\/27*(2\/10 - 2). Solve -o = -k*o + 12, 4*y = 2*o - 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 38450668 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1165*w + 1333*w - 3696 = 0 for w.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35572 is divided by 87.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (sqrt(176))**2 + (sqrt(11) - -6*sqrt(33)\/sqrt(3) - sqrt(11)).\nAnswer: 6*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/(((-90)\/(-180))\/((5\/20)\/((-2)\/(-4))))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -165120 divided by -429\nAnswer: 55040\/143","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 60 + 248. Suppose -2*q - 5*i + z = -146, -2*q = 2*i - 466. Let l = 500 - q. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the second derivative of -b**6\/120 + b**4\/2 + 40*b**3\/3 - b**2 - 7*b - 1. Let p(m) be the second derivative of q(m). Factor p(a).\nAnswer: -3*(a - 2)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*v + 12*v - 272690 = -56510. Which is greater: 28827\/4 or v?\nAnswer: 28827\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1 times -240\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 26\/85 + -168\/1105. Which is the closest to 3\/2? (a) 0.8 (b) -4 (c) j (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*((l + 0 + 0)*(-2*l + l + 0*l) + (-3*l - 5*l + 4*l)*(l + 0*l - 22*l)) to w*l + f*l**2 + h and give f.\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -12*i - 5. Let n(z) = -19*z - 8. Let s(h) = 8*k(h) - 5*n(h). Let q(p) = -5 - 13*p + 4 + 1. What is q(s(d))?\nAnswer: 13*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 PM and 10:16 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 2.73.\nAnswer: -1.365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6)\/3 + (2 - -9). Let u = -103 + 112. Calculate the highest common factor of o and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3837 is divided by 20?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**(4\/5))\/j)\/j**7)\/(j\/(j\/j**0)*j**(1\/4))*(j**(2\/9)*j\/j**(-2\/17)*j)**(-48) assuming j is positive.\nAnswer: j**(-121139\/1020)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -255450 rounded to the nearest one thousand?\nAnswer: -255000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1764 divided by 9.\nAnswer: 196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 177\/33923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from nbnbb?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5*-4*(14\/(-4) + 3). Is (5\/t)\/((44\/(-2872))\/(-11)) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/4 + 43629*h\/2 + 87257\/4.\nAnswer: (h + 1)*(h + 87257)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + -1 + -2 + -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/(495\/(-22)) + 0 + 1. What is the closest to -2 in c, -2, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 179467777 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -47*m = -962 + 175 - 811 for m.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 39 + 4 + -18 + 1 + 3.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**2 + 344*q + 4497. Calculate u(-70).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 66031849847 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - ((-4 - -7) + 6\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 31*b + 18. Let p be r(7). Suppose l = -5*s + s + p, -1080 = -5*l - s. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -132, -239, -328, -399?\n\"Answer: 9*x**2 - 134*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 + -16. Let m(l) be the third derivative of -l**4\/8 - l**3 + 6*l**2. Let b(h) = -h - 1. What is p*b(r) + m(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 2*w**2 - 2*w + 22. Let l(x) = -5*x**2 + 808*x - 869. Let k(y) = l(y) + 3*s(y). Factor k(r).\nAnswer: (r - 1)*(r + 803)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -19*r**2 + 6*r + 10. Let y(k) = 4*k**2 - k - 3. Let n(p) = v(p) + 5*y(p). Let a be (-1)\/3 + 14\/(-3). Calculate n(a).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10448875 to the power of 1\/6, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -2\/723, -0.5 in increasing order.\nAnswer: -2, -0.5, -2\/723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-18)\/(-45) - ((-21494)\/760)\/11 - 3 and -33\/235.\nAnswer: 17860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37460966.\nAnswer: 2, 443, 42281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 8274, 3539, -4350, -15393, -29590, -46941?\n\"Answer: -1577*b**2 - 4*b + 9855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 174 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2751486.\nAnswer: 2, 3, 499, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*h - 14 = 0, -23*b + h = -27*b - h - 58 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsxjtbs. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the second derivative of 847*h**4\/6 - 5*h**3\/6 - 3*h**2 - 78*h. Is f(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 7*q**2 + q**3 + 5*q**2 - 20*q**2 + 5*q**2 - 7 + 3*q. Let t be d(4). Calculate the greatest common divisor of t and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 836535706?\nAnswer: 2, 233, 1795141","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -5*z**2 + 0*z + 0*z**3 + 0 - 1\/24*z**4. Let l(x) be the third derivative of x**4\/12 - x**2. Give g(l(v)).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3 and 8033.\nAnswer: -24099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-28)\/(-1))\/(18\/(-135)*15)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 184\/9 and 21 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o and 1 v when three letters picked without replacement from {v: 14, o: 4}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -2 - 0 - (-152 + 33) is divided by 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**3 - 2*o**3 + 2*o**3)*(35*o - 2 - 1 - 23*o).\nAnswer: -12*o**4 + 3*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*k**4 + 288*k**3 + 15552*k**2 + 373248*k + 3359232 = 0. Calculate k.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1865*x - 1861*x = -3*l - 125 + 30, 0 = 6*l - 4*x - 122 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -193*g + 939 + 955*g + 3313*g wrt g.\nAnswer: 4075","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111001110101 + 1000110?\nAnswer: -10101111000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173024?\nAnswer: 2, 3, 4073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-288)*(-16)\/(-6680)*10. Which is greater: m or -1\/8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + q + 0*q + (-6*q - 4*q + 5*q)*(-6 + 5 + 2) + (-6*q + 4*q + 3*q)*(4 - 2 - 1).\nAnswer: -5*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**4 + 9*m**3 + 15*m**2 - 22*m - 3. Let g(i) = -4 - 2 + i - 1 + 4 + 2. Let r(p) = -3*g(p) + o(p). Let r(v) = 0. Calculate v.\nAnswer: -5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8208557?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50045 is divided by 8322?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*(d*(((d**(1\/3)\/d)\/d)\/d)\/d*d)\/d*d)*d**(6\/13))\/(d\/(d\/d**(2\/23))*d**8) assuming d is positive.\nAnswer: d**(-5345\/897)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -2925, -3239, -3549, -3855?\n\"Answer: 2*c**2 - 320*c - 2607","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -455.104 and 0.5?\nAnswer: -227.552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-15)\/9 - -2)\/(8*(-2)\/240).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 19125 = -2*c. Suppose -p - c = -4*p. Suppose 3*l - 6 = p. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 80 and 34215664?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100348.\nAnswer: 2, 25087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 491 = -42*o + 407 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 6:12 PM?\nAnswer: 9:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (-1*sqrt(1088)*1)**2*-1).\nAnswer: -3270","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) -0.1 (c) -4 (d) -1894 (e) -54 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 2:08 AM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 0*10\/60. Sort -392, b, -4 in ascending order.\nAnswer: -392, -4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**3 - 21*u**2 - 10*u - 98. Let q = 571 - 548. What is the units digit of s(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-20)*-5*7\/7.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16782, -16634, -16350, -15924, -15350, -14622, -13734?\nAnswer: -12680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-3\/2)\/r**(-1\/2))**(-41\/5) assuming r is positive.\nAnswer: r**(41\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 + (4 - 4))\/(-6)*-9.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + q - 4*q + 4 - 4 - 2*q + (-5 + 3 + 4)*(0 - 2*q + 0) + q - 4*q + q + q - 4*q + q + 6*q + 8 - 8)*(-13*q**2 + 13*q**2 + 12*q**4)*(0 + 1 - 3).\nAnswer: 336*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-41)\/(-3485))\/((-1)\/15))\/((-12)\/(-16))?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -2*y**2 + 164*y - 61. What is the units digit of h(49)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*h - 13*h - 7*h + 9*h - 12 + 30*h - 5.\nAnswer: 2*h - 17","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 201 and 2572?\nAnswer: 516972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxs when three letters picked without replacement from sxx?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2471005153 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0\/s)**(-49)*((s**(5\/3)\/s*s)\/s)\/s*s*s*s*s\/(s\/s**(-3))*s)\/(((s*s**(-3\/2))\/s*s*s\/(s\/s**(-5\/2)))\/(s**(-3\/7)*s*s*s*s**(-7))) assuming s is positive.\nAnswer: s**(1013\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-38))\/(50\/(-575)) - 11?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -73 + 97 - 65.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58654760 by -5.\nAnswer: -11730952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-128)\/(-10))\/(2 + (-36)\/20). Let j = o - -65. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1541126 - 0?\nAnswer: -1541126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, p: 4, x: 4, d: 6}. What is prob of sequence xww?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 32 = -4*b, 0 = 3*u - 30*b + 35*b - 30 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/(-32) + 2\/(8\/954). Suppose 1 = 8*u - h. Calculate the highest common factor of u and 570.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7059863 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -32*r**3 + 14*r**3 + 19*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 23 = 5*m, -2*q - 19 = 4*m - q. Let l be 2 - (3 + -1) - (-60 - m). Let n(i) = 0*i - 55 + l + 2*i. Let c(p) = 23*p**2. Calculate c(n(d)).\nAnswer: 92*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6.36 (b) 0 (c) 0.44 (d) 2 (e) -9.1 (f) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 - (-5 + 0 + 9). Let k(b) = -5*b**2 + 4*b - 1. Let h(u) = -14*u**2 + 11*u - 3. Determine t*k(d) + 3*h(d).\nAnswer: -2*d**2 + d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 601, 1204, 1807, 2410?\nAnswer: 3013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 3 + 2*n)*(n - 4*n + 2*n) + 0*n - 4*n**2 + 0*n + (6*n - 4*n - 3*n)*(4*n + 7*n - n) as b*n + i*n**2 + s and give i.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3279\/805 + -95\/23. Sort 5, 3, p, -4\/9, -1 in ascending order.\nAnswer: -1, -4\/9, p, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 - 2)\/(1\/(-5)*-5). Suppose g + 2*u = -4*g + 13, 4*u - 8 = -4*g. Solve -4*o + 8 = f, -o = -g*c + 6*c - 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 5 + 421*t**2 - 377*t**2.\nAnswer: 44*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 797542 and 6.\nAnswer: 2392626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes after 1:46 PM?\nAnswer: 7:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 143 or -11?\nAnswer: 143","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.06 (b) 0.04 (c) -8.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*s - 6*s + 17 - 3*s**2 + 15*s - 31*s**2 + 9*s**2 to the form k*s**2 + f*s + t and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (0 + (-2)\/(-4))\/(7\/1274). Let m = -44 + j. What are the prime factors of m?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -n + 3*n - 1 + 0 + (8*n - 12 + 12)*(1 - 1 - 3) to h*n + a and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/3 in -2\/19, 4, -3511, 9?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 517 less than or equal to 564676\/1091?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6.967281 litres to millilitres.\nAnswer: 6967.281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135 is divided by 32.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -m - m**3 + 5*m + 5*m**2 + 12*m**3 - 4*m**2 - 4. Let v be o(1). Find j, given that -6*j + v + 3\/4*j**2 = 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**3 - 1. Let t be h(0). Is 426 + -14 - ((-2 - t) + 4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 55 = 0, -v + 3*n - 15 - 16 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -22659898 >= -22659898?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24949 is divided by 386.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2579658006?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = 2*p - 8869, 4*p - 2609 - 15094 = -3*u. List the prime factors of p.\nAnswer: 2, 3, 11, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 836448 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 31.46. Sort d, -5, 2, -1.\nAnswer: -5, -1, d, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 4*m + 10 = k, -5*k = -3*m - 25. Which is smaller: k or 23\/4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p = -462 + 49. Calculate the remainder when 168 is divided by p.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -239*z - 33698 = -820*z for z.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 16*t - 27. What is the remainder when 8 is divided by z(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.17 + -0.71. Let y = -0.7 + 0.47. Let x = y - m. What is x rounded to 1 decimal place?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12362931932845 + 5*h - 12362931932845.\nAnswer: 5*h","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {l: 12, i: 1}.\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 7 + 8. Let s(f) = f**2 + f - 7. Let q be s(-4). Suppose v = -0*z + q*z. What is the smallest common multiple of z and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the third derivative of 0 + 0*h**3 + 0*h**5 - 5*h**2 - 1\/24*h**6 + 0*h - 7\/24*h**4. Find the second derivative of k(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16711 + 8111 + 53*v**3 + 8600 + v**2.\nAnswer: 53*v**3 + v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**11)**(2\/3) assuming q is positive.\nAnswer: q**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 519684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -1058, -105, 1492, 3739, 6642?\n\"Answer: x**3 + 316*x**2 - 2*x - 1373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 18637005*j**3 - 12102083*j**2?\nAnswer: 111822030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36558846241 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a = 11*w - 29, 768*w - 766*w = 2*a + 32 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 27118, 53152, 79186, 105220?\nAnswer: 131254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20 or 576\/29?\nAnswer: 576\/29","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 - -0.1. Let j be 16\/(-20) - (-2)\/(-10). Let z be (-5 - -6)*(2 + j). What is the third smallest value in b, z, -5?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/12171636 and 85\/46168.\nAnswer: 705954888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 29, 56, 103, 176, 281, 424?\n\"Answer: b**3 + b**2 + 3*b + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -x**3 - 20*x**2 + 7*x + 17. Give g(-20).\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26926 = -703*a + 40427 - 101097 for a.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -196 or 119\/169?\nAnswer: 119\/169","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 9:40 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 602749.\nAnswer: 7, 12301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -p**3 + 9*p**2 - 7*p + 6. Calculate c(8).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 18*a**2 + 48*a - 237. List the prime factors of s(5).\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -4*v - 6*t - 60, -74 = 5*v + 4*t. Let d = -13 - v. Find the third derivative of -93*o**3 + 46*o**3 + 47*o**3 - 2*o**d - 32*o**2 wrt o.\nAnswer: -120*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -295 - -299. Which is the nearest to 2? (a) g (b) 0.1 (c) -0.07\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 865565078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 168*v**3 - 173*v**3 - 420*v + 49*v - 250*v.\nAnswer: -5*v**3 - 621*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71, 138, 203, 266, 327, 386?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -69, 2\/5, 3 in ascending order.\nAnswer: -69, 2\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/3 + -209\/12. Sort -4, q, 1\/2, 7 in decreasing order.\nAnswer: 7, 1\/2, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 651 - 55. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 142 = 4*z, z = t - 4 - 19. Solve 4*i - 3*s = 7, -5*s + 3*s + t = 5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 - 27 + 11 - u**2 + 1.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 51*r*s**4 - 35*r*s**3 + 9*r*s**2 + 10000*s**5 + 15*s - 9039 wrt s?\nAnswer: 1224*r*s - 210*r + 600000*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of (-2928)\/(-30) - (-2)\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/(h\/(h*h**6)))\/((h\/(((h\/(h*h\/h**6))\/h)\/h*h))\/h))\/((h**(-2\/17)*h)\/(h\/h**(-2\/5))) assuming h is positive.\nAnswer: h**(979\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7467*j = 7075*j + 8232 for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -15, -3, -4 in ascending order.\nAnswer: -15, -4, -3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*b - 11546 = 23*b. Is b a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -12\/373, 19, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -2*b**2 - 7*b - 3. Let i be k(-1). Let v(f) = 42459*f + 2*f**2 - f**i - 42459*f. Let d(o) = -5*o**2 + 2. Calculate d(v(c)).\nAnswer: -5*c**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*a**3 + 5*a**3 + 9*a**3 - 22*a**3 + 8*a**3.\nAnswer: 13*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -39 - -40. What is the first derivative of 8 + 7*d + 0 + t - 10 wrt d?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35440462?\nAnswer: 2, 17720231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2255, -2245, -2235, -2225, -2215?\n\"Answer: 10*s - 2265","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/((-7)\/84)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 0.62*-10.44\nAnswer: -6.4728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - j = 2020. Find the common denominator of (-4)\/10 - (-490)\/200 and j\/270*-3 + -4.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255787.2 litres in millilitres?\nAnswer: 255787200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -2*t, -n + 4*n - 3*t = 30. Does 13 divide n\/5 + (3 - -24)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 - -10 - (60 - (79 - 1))\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3485057303.\nAnswer: 7, 13, 73, 107, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3608\/1567 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/7, 2\/9, -5.8?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10818 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 281, -3, -9, -11 in increasing order.\nAnswer: -11, -9, -3, 281","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18458 to the nearest integer?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-1\/2)*s)\/s**8*(s*s*s\/((((s*s*s**(-3\/5))\/s)\/s)\/s))\/s*s\/(s\/(s\/s**(-1\/14)*s*s)) assuming s is positive.\nAnswer: s**(-29\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 276*t - 868. Determine i(-6).\nAnswer: -2524","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -2*s + 36. Let h be u(15). What is the remainder when 102 is divided by h*(-60)\/(-14) + (-2)\/(-7)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 9:53 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2106 is divided by 68?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 2\/15 (b) 2\/13 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -w**3 - 160*w**2 + 862*w + 6129. Give n(-165).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 186658 divided by -280?\nAnswer: -93329\/140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r\/(r\/((r*r\/r**18)\/r)*r)*r**(-27) assuming r is positive.\nAnswer: r**(-45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in one fifth of a minute?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 664 minutes after 6:12 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 150 = 10*k - 20*k + 25*k for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together 13 and 92920182.\nAnswer: 92920195","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1080)\/2880)\/(3\/(-40)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27962?\nAnswer: 2, 11, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**2 + 2. Let b be p(0). Let a = 22 - 5. Let n = b + a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1111244 (base 6) in base 14?\nAnswer: -165d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:44 PM and 12:22 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 716?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 16*m**2 + 13*m. Let u be 72\/48*(-8)\/(-6). Let b(s) = -s + 0*s**2 + 7*s**u + 5*s - 2*s**2. Determine -7*b(f) + 2*z(f).\nAnswer: -3*f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 4.\nAnswer: 49\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (4*3\/6)\/(50 - 49). Solve y*g - 3*g = 2*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41784000 = -15*o - o. Round o to the nearest one hundred thousand.\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 3*j - 7. Let h be b(3). Suppose -g + 13 = -3*v - 2*v, -5*v = -2*g + 11. Let m = g + h. Solve m = o + 3 + 1 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*g - 104 - 4 = 0 for g.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*g = -51*g - 50399867. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 - 4. Suppose f = -a + 4*a. Which is smaller: 2 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22.1 - 23. Let d = -12.9 - h. Let u = -3736 - -3731. What is the third biggest value in 4, u, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95311 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -5*n**2 - n + 10. Let x(c) = c - 1. Let r(g) = -h(g) - 5*x(g). Let t be (-6)\/24 + (-22)\/8. Let k(p) = 4*p**2 - 3*p - 4. Calculate t*r(z) + 4*k(z).\nAnswer: z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 109 + 121 = 0. Which is the closest to y? (a) -0.1 (b) -1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 2*o - 113. Give h(4).\nAnswer: -105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 273626056?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 2:01 AM?\nAnswer: 186","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 82\/41*(-2 - 36\/(-20)). Put -1, -4, -55, -0.3, a in descending order.\nAnswer: -0.3, a, -1, -4, -55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -11*d**2 - 5*d - 2. Let t(v) = v**2 + v + 1. Let r(p) = o(p) + 5*t(p). Differentiate r(f) with respect to f.\nAnswer: -12*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u**2 + 6*u - 3. Calculate the least common multiple of 1 and s(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/24 + (-106)\/848.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 715\/(-7865)*(22\/14)\/(-1)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n + 1210 - 1210)*(-n**3 + n**2 + 3*n**2 - n + 0*n**2) as z*n**2 + v + q*n**4 + u*n + d*n**3 and give z.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*t + w + 24, 3*t + 7 = -4*w. Suppose 0 = -t*p - 4*x + 86, 5*p - 23*x + 22*x = 151. Calculate the greatest common factor of 135 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 562 + 769*s + 43*s**2 + 781*s - 4*s**3 + 63*s**2 + 6*s**3 + 3188.\nAnswer: 2*(s + 3)*(s + 25)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 290305226 to the power of 1\/2, to the nearest integer?\nAnswer: 17038","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dfi when three letters picked without replacement from {f: 1, d: 1, i: 1, w: 1, r: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -6*g - 10. Let y(i) = -4*i + 4*i + 3*i - 1 - 4*i. Let w(o) = p(o) - 5*y(o). Let a be w(-7). Solve 5*c = -5*n, -n + 3*c - 6 = a*n for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 23\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = 3*w + 17, 4*w - 3 = 2*g + 9 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -2*d - 12. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 - (-2)\/8*0 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-9)\/(-6))*-2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:58 PM and 4:42 PM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*j**3*p + j**3 - 252*j - 96549*p wrt j.\nAnswer: 6*j**2*p + 3*j**2 - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -113\/25304004 and -163\/175824?\nAnswer: 303648048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7039 + 7036. Let n(w) = 51*w**2 + 5*w. Let j(z) = 26*z**2 + 3*z. What is d*n(m) + 5*j(m)?\nAnswer: -23*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 1, -2, 3, -284, 0, -18.\nAnswer: -284, -18, -8, -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1103 a factor of 889059997?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2985 = -4*v - 5*q, -3*v + 4*q = 2048 + 214. Let z = v + 1099. Is 11 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-10)*37800\/48. Let t = n - 940. Sort -9, 0, t in decreasing order.\nAnswer: t, 0, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j**(1\/2)\/j)\/j*j)**9*j**1*((j\/(j*j*j*(j\/j**(-1\/11))\/j*j))\/j*j)\/j assuming j is positive.\nAnswer: j**(31\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -82, -609, -1484, -2707?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.09619 and 0.3724?\nAnswer: 0.46859","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 4:34 PM?\nAnswer: 3:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 7*s + 44. Let t(j) = -70 - 11 - 52 - 20*j. Let u(p) = -11*r(p) - 4*t(p). Differentiate u(y) with respect to y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 132, 7, -5, 2 in ascending order.\nAnswer: -5, 2, 7, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*o - 3*o + 5*o)*(-2*o + 1 - 1) + 1188 + 14*o**2 - 1188 as a*o**2 + w + c*o and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 301, 1304, 3007, 5404, 8489, 12256, 16699, 21812?\n\"Answer: -t**3 + 356*t**2 - 58*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-123)\/3 - 4*(-4)\/(-16). Let v be (-26)\/(-12) + 7\/a. Factor u - u + 5*u - 5*u**v + 10*u.\nAnswer: -5*u*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 837*i**3 + 11*i**2 + 3*i + 2. Let l(o) = -418*o**3 - 5*o**2 - 2*o - 1. Let c(t) = 2*h(t) + 5*l(t). What is the units digit of c(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -50 + 59. Calculate the remainder when 17\/2*(2 + 0) is divided by a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -25264, -102046, -230008, -409144, -639448, -920914?\n\"Answer: h**3 - 25596*h**2 - h + 332","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ocdccocphhrrhpr. What is prob of sequence rr?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -65 bigger than -0.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrl when three letters picked without replacement from rrqlrlrrrfrlll.\nAnswer: 5\/312","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 154 and 1036.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13490 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -311*q. Let j(d) = 159*d - 10. Let g(h) = -3146*h + 198. Let p(o) = 5*g(o) + 99*j(o). Calculate p(a(i)).\nAnswer: -3421*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 32689250?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 98151480 to the nearest one million.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i, 2 q, and 1 v when four letters picked without replacement from qwwivqq?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = b + 1. Let f = b + -1. Find v such that 0*v**4 - 2*v**2 - v**f + 2*v**4 + 0*v**4 + v = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (13 + -3)\/((-10)\/(-12)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 165402?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -4, 62\/65, -4\/3, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 2*p + 6. Let j(u) = u + 3. Suppose 0 = -7*x + 9*x + 8. Let k be (-51)\/4 + 9\/x + 2. Let r = -15 + 21. What is k*j(n) + r*f(n)?\nAnswer: -n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -1\/4*l**4 + 0*l**3 + 1\/2*l + 3\/4*l**2 + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6032595\/11 + -18791509104\/34265. Let p = 2\/445 + j. Suppose 0 = -3589*o + 3586*o. Is o greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -22, -25, -26, -25, -22, -17?\n\"Answer: k**2 - 6*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 721 + 2747. Let g = f - 306. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 13 = 4*w, 4*w = -5*l + 2 + 9. Suppose 0 = -0*t - l*t + 48. Solve -d = 3*d - t for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 188 = 2*p, 21*p = 17*p + 6*f + 400. Calculate the remainder when 385 is divided by p.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 102121 (base 3) to base 4\nAnswer: 10321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m + 0 + 0)*(-215*m - 632*m - 52*m + 3).\nAnswer: -1798*m**2 + 6*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u = -5*d - 25, -2*d - 12 = -u - 1 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**1)\/m)**(-37)\/(m*m*m**(-1\/8)*m)**(-5\/3) assuming m is positive.\nAnswer: m**(1003\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157907 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 8*z**3 + z**2 - z - 2. Let x be u(-1). Which is smaller: -11 or x?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1022222112 (base 3) to base 14.\nAnswer: -97b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 868127, 868139, 868149, 868157, 868163, 868167, 868169?\n\"Answer: -o**2 + 15*o + 868113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -14 + 28*n - 10 - 16 + 50417*n**2 + 35. Let t be u(-19). Round t to the nearest 1000000.\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 2*j + 1. Let v = 3\/13 + 33\/26. Let d(x) be the first derivative of -1 - v*x**2 - x. Calculate -5*b(q) - 3*d(q).\nAnswer: -q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 2)\/((-30)\/(-207)). Let u = 549\/40 - l. Calculate the common denominator of u and -9\/7.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x - x - x**2)*(2*x**2 - 6*x**2 + 2*x**2) - 4*x**4 + 15*x**4 + 4*x**4 + 3*x**4 - 3*x**4 + 2*x**4 + (-x**2 + x**2 + x**3)*(x - x + x).\nAnswer: 20*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 27592 or 27992?\nAnswer: 27592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 756 and 3132.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 20 and 360?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 14480 and 335212.\nAnswer: 724","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1554 and 52008754.\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 150260 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1559 + 2286. Suppose -8*m + p = -297. What is the smallest common multiple of 24 and m?\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and -84?\nAnswer: -8.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -5, 1, -0.07, -1.7 in decreasing order.\nAnswer: 1, 1\/4, -0.07, -1.7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z. Let x(p) = 2*p**2 - 29*p - 11. Let a be x(15). Let d be (-42)\/(-30) + a\/(-10). Let v(n) = d + 7 - 3*n - 8. Calculate h(v(m)).\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 603276 and 996.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 2 = 4. Suppose -1 = a*k - 13. Which is greater: k or 2\/5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -4*b - 39, 0 = 273*j + 3*b - 691 + 445 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (13\/1)\/(1\/3). Let i(u) = -u + 2. Let c(z) = -z + 1. Let p(y) = y - 7. Let j(h) = 6*c(h) - p(h). Determine m*i(o) - 6*j(o).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61.33 - 61.33. What is the closest to -1 in 6, -0.3, -7\/3, o?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, b: 5}. Give prob of sequence llbb.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 44 = 56 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 20022212102120 - 0?\nAnswer: 20022212102120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 12 = 0, 5*v + 10 = 2*a - 5. Suppose 2*j + 0 - 4 = a. Let 2\/3 + 2*q**2 - j*q - 2\/3*q**3 = 0. What is q?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 98, 202, 366, 590, 874, 1218, 1622?\n\"Answer: 30*y**2 + 14*y + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 41783, 43091, 44399, 45707, 47015, 48323?\n\"Answer: 1308*m + 40475","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 14163192 divided by -2360532\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 5*m**5 - 6345*m**4 + 2677510*m**3 - 372971600*m**2 - 1170341760*m + 3811251200 = 0?\nAnswer: -5, 2, 424","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -47433294 from 0.2.\nAnswer: 47433294.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 + 26*m - 6*m - 4 to the form i + p*m and give p.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/429 - (-1256)\/(-10362)?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.48 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddiddid. What is prob of picking 1 d and 1 i?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244865 is divided by 171?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 13*j**2. Let p(b) = 168*b**2. Suppose 2*a = g + 9, 24 = 5*a - 0*g - 2*g. Give a*p(k) - 77*z(k).\nAnswer: 7*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (560\/32)\/((-240)\/32).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 121 = -y, 5*m + 4*y + 92 = 9*m. Let q = m + -36. Let c be ((-3)\/(-9) + -2)*180\/q. What is the highest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1286900 at most as big as 1286902?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in twenty-one halves of a millennium?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 PM and 11:39 PM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = -0*k + 10. Let w be k*5 + 1 + -3. Suppose -2*s = -w, s = 2*p - 0*s - 42. Does 8 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -11, -10, -9, -8?\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 19777091 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 134470749.\nAnswer: 3, 7, 130681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3093 divided by 1031.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 353129?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = x**3 + 23*x**2 + 114*x + 9. Let y be r(-7). Suppose 5*o = 2*o + 9. Let p(i) = -o*i + 4*i - 2*i. Let f(s) = 4*s + 2. Give y*p(d) - f(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.29 - 0.11. Let s = -3 - -4. Which is the second smallest value? (a) s (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 90 + -88. Is 3 a factor of w*4\/(5 - 3) - -21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13748, -27451, -41152, -54851, -68548, -82243?\nAnswer: -95936","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 4*-67*3\/(-12). Let s = x - 28. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139721 is divided by 10644?\nAnswer: 1349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8493762, -16987483, -25481204, -33974925, -42468646?\nAnswer: -50962367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -17 and 3674274?\nAnswer: 3674291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p*p**(2\/11))*p*(p*p**(-4))\/p)**(-27)*(p**(-2\/7))**(-8)*p**(-5\/2)\/p*p*p**2\/p assuming p is positive.\nAnswer: p**(13351\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is four thirds of a hour in seconds?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -59\/180 - 1\/180. What is the nearest to -1 in h, 3\/2, 1\/2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2527358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30601*f**2 + 98 - 191 + 93.\nAnswer: -30601*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21101 - 1033022101?\nAnswer: -1033001000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 3, y: 5, z: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 282316 + -93416. Let y = 82920 - s. Let q = 48980 + y. Round q to the nearest ten thousand.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466 minutes after 5:17 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*a**4 - 380*a - 51*a**4 - 12*a**2 + 9728*a wrt a.\nAnswer: -828*a**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 2 j when three letters picked without replacement from {q: 10, j: 4}?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -19*x + 4669 + 57*x - 4669.\nAnswer: 38*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) be the second derivative of z**4\/4 - z**3 + 7*z**2 - z. Let x(h) = h**2 + h + 1. Let n(c) = k(c) - 4*x(c). What is the tens digit of n(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392*u**4\/11 - 7174*u**3\/11 - 44460*u**2\/11 - 8856*u - 25488\/11.\nAnswer: -2*(u + 6)**3*(196*u + 59)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3123 (base 4) to base 14.\nAnswer: -119","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*i + 1404 = -6321. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19480.516466 + -51?\nAnswer: 19429.516466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(1\/2))\/a*a**6)\/(a\/(a**(-1)*a)*a*a**(1\/2)))\/((a**(-3)*a*a**(-5))\/(a**(1\/4)\/a*a**7)) assuming a is positive.\nAnswer: a**(65\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -741071*n**4 + 4869*n**2 - 68*n wrt n?\nAnswer: -17785704*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*y + y - 12 + 12.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1178794999 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1742218 to the nearest integer?\nAnswer: 1320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 - 87457*j**2\/4 - 476302480*j + 76285849344.\nAnswer: -(j - 159)*(j + 43808)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 60000 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 16*m**3 - 3*m**2 - 35*m + 72. Calculate n(2).\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 25, -1, -25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11\/51 or 1?\nAnswer: -11\/51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 8 = -y, 5*y + 0*n - 19 = -4*n. Suppose 5*g - y = 2*g. Solve -g = 2*m - 3 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ook when three letters picked without replacement from zhhklhkojjhkokz.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -60 + 239\/4. Let a = -6 + 5.99. Let s = 3.01 + a. What is the third smallest value in s, 4, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -912985.5 > 15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*h - 0. Let z be 4\/21 - 1\/3. What is the closest to h in 0.4, z, -3\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 3 + 0 + (3 + 3 - 4)*(-706 + 281 - 728))*(s**3 - s + s**3 + s**2 + 2*s) to i*s + q + x*s**2 + v*s**3 and give i.\nAnswer: -2307","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1428, -104, 4, 6 in decreasing order.\nAnswer: 1428, 6, 4, -104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 18. What is the remainder when 25 is divided by w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.157211 to 3 decimal places.\nAnswer: 0.157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 252 = 2*m - 5*a, -42 + 38 = a. Let b(x) = x**3 + 10*x**2 - 15*x - 10. Let g be b(-10). Let j = g - m. Is j a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15623 + -0.23726. Let c = o + -0.53282. Let m = c - -0.61. What is m rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -32. Suppose 2*n - k = -5*k + 10, -v*n + 61 = -2*k. Does 2 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 0.21, 334 in increasing order.\nAnswer: 0.21, 4, 334","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, 12, -0.18, -27?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 20 = 2*r + 7, 2*r = -2*o + 78. Solve -3*x - 4*x - o = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 7\/2, 3, -42, 11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1088422?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 124555 - 1.077.\nAnswer: 124553.923","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = v - 23. Let p(u) = 3*u**2 + 87. What is i(p(y))?\nAnswer: 3*y**2 + 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 13.808 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, -68.3, -0.4, 29\/3, -36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -29786 - -29905. Let k = -37 - -54. What is the highest common factor of r and k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, -130, -307, -502, -721, -970?\nAnswer: -1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = 4*x + 5*l, -3*x + 2*l + 15 = -l for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2078.\nAnswer: 2, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 28978 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of y**4\/6 - 3*y + 2. Let p(f) be the first derivative of j(f). Let g(x) = 5*x**2. What is g(p(s))?\nAnswer: 20*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850 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: Simplify ((sqrt(68) - (6*sqrt(68)*-3 - sqrt(68) - sqrt(68)))\/(sqrt(100) - 3*sqrt(100)))**2.\nAnswer: 7497\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 40 = 2*m, 0 = -2*m - 3*t + 5*t + 46. Let n = m - 27. Is (-38 + 8)*n\/4 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1792\/(-308)*11 - -144\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 7. Let q(y) = -y + 1. Let z(j) = 5*j - 4. Let c(f) = p*z(f) - 12*q(f). Let d(i) = -i. What is d(c(x))?\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -90 - 16?\nAnswer: -a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2700521, 2700519, 2700517, 2700515, 2700513?\n\"Answer: -2*y + 2700523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z*z*z**(3\/4)*z\/((z\/(z**(-5)\/z))\/z)*z**(1\/9))\/(z**7*z**7)**(8\/13) assuming z is positive.\nAnswer: z**(-7373\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -9803 divided by -6\nAnswer: 9803\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344 by 224.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (w**3 - 2*w**3 + 3*w**3)*(2 - 2 + w) + w**2 + 0*w**4 + 0*w**2 - 2 + w**4 as t*w**2 + v*w**4 + j*w**3 + l*w + n and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -3*y**2\/5 + 33*y\/5 + 36\/5 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 9683 to the power of 1\/2, to the nearest integer?\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2607734*a**2 - 3193387*a wrt a.\nAnswer: -5215468","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1323*p + 26 = 5*y + 1314*p, -5*y + 2*p = -33 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50595 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -7*w**2 - 20*w - 1. Let k(a) = -21*a**2 - 57*a - 4. Calculate -8*j(s) + 3*k(s).\nAnswer: -7*s**2 - 11*s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -169\/4032 and 49\/48096.\nAnswer: 673344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 17\/4 of a meter?\nAnswer: 425","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p, 1 f, and 2 h when four letters picked without replacement from {h: 5, p: 4, o: 3, q: 3, f: 4}?\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 + (-4 - 0) - -8) + 6 + -4 - -29.\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100989, 5, 0, -2.\nAnswer: -100989, -2, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -216b - 5?\nAnswer: -2170","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in -13, 2, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 7*n**2 - 10*n + 91. Calculate i(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 5 + (-1 - 52) + -2. Let h = a + 45. Let r(l) = l**3 + 6*l**2 + 4*l - 3. Calculate r(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 612aa1 + 51?\nAnswer: 612b32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g\/(g**1\/g))\/g)**33\/((g**(-1\/4)\/g)\/((g\/g**(2\/11))\/g)))\/((g*g**(-1))**0\/(g*g**5*g*g\/g**(2\/17))) assuming g is positive.\nAnswer: g**(6695\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 46*c - 4350 = 44*c, 0 = 5*q - 3*c - 7212. Is 62 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 + 65. Let a(o) = -o**3 + 4*o**2 + 3*o + 7. Let n be a(5). What is the third biggest value in z, 4, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 7616825 and 6.\nAnswer: 7616831","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vxv when three letters picked without replacement from xxvxxxxvxx.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9812981\/1027 - -9555. Which is smaller: 0 or n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*z**2 - 24*z**2 + 33*z**2.\nAnswer: 27*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 573375821 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -8*l**3 + 10*l**2 - 8*l + 1. Let o(y) = 3*y**3 - 3*y**2 + 3*y. Let d(w) = -4*i(w) - 11*o(w). Let n be d(-7). Sort n, -5, -6.\nAnswer: -6, -5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-8)\/(-6))\/((-3116)\/246)?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 + 5*r + 11. Let s be z(-3). What is the nearest to -0.8 in 4, s, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -8, -15 in decreasing order.\nAnswer: 3, -8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -566 - -670. List the prime factors of (-1602)\/(-10) - a\/(-130).\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 128 + 1.582278.\nAnswer: 129.582278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 6. Suppose 2 = -2*y + r - t*r, 0 = y - 4*r - 8. Suppose -2*q - q + 48 = y. Calculate the remainder when q is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (-3 - -6) - (0 - 2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 30913307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i + v + 7 = -10, 5*i = 4*v + 82. Suppose 4*m = -2*w - 10 - 2, -4*m = 3*w + i. Let g be m\/(-24)*12\/(-9). What is the nearest to -0.1 in 3\/7, g, 2\/9?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h, 1 t, and 1 c when four letters picked without replacement from {t: 4, c: 7, j: 1, h: 2, o: 1}?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 7*t + 1. Let y be j(-3). Let m = y + 13. Let h(v) = -5*v - 2. Let n(a) = 9*a + 3. What is m*h(q) - 4*n(q)?\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vtvctctv. What is prob of picking 3 t and 1 c?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 777 = -3*b + 228, 4*d - 3*b - 1354 = 0. Let i(r) = -d*r + 2*r**2 + 337*r. Let k(g) = 0*g - 5*g - g. Calculate k(i(z)).\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -520*q**3 + 59*q**2 - 119*q**2 + 60*q**2.\nAnswer: -520*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27686466 to the nearest integer?\nAnswer: 5262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28469 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 1)*5\/25*5. Let i(p) = 2*p**2 + 3*p. What is i(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jj when two letters picked without replacement from {j: 11, u: 5}?\nAnswer: 11\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0 + 0)*-1 - (-98 + 102). Let a(v) = 4*v + 1. Let m(n) = 3*n. Let h(r) = 2*a(r) - 3*m(r). Let d(s) = s - 2. What is b*h(i) - 6*d(i)?\nAnswer: -2*i + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -61*b**4 + b**3*c**2 - b*c**2 + b - 16*c**2 wrt b?\nAnswer: -732*b**2 + 6*b*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 63 = 3*x - 0*x, x = -4*y + 59. Suppose 3*s - 14 = y. Calculate the remainder when s is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*h + 99 + 72 = -81 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5029, 2\/17, -72 in ascending order.\nAnswer: -5029, -72, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.5 + -5.5. Let u = 3.6 - 0.6. Let t = -2.5 + u. Which is the nearest to m? (a) t (b) 2\/7 (c) 6\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3740.682 less than 12722?\nAnswer: 16462.682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-27758)\/(-4) - 4\/18. Suppose 4805 = -8*y + 60333. Let u = g - y. Find the common denominator of -51\/14 and u.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 j when three letters picked without replacement from kjjjkjkjjjjjjjjjjjjj.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (85\/2 - -1)*(41 + ((-1491)\/45 - 8))\nAnswer: -29\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -74\/2097 and 8\/21?\nAnswer: 14679","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3751796 is divided by 59.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**2 - 17*o - 18. Calculate c(-11).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 2 (b) -5 (c) 17 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27711 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: Which is the biggest value? (a) -47998 (b) 1\/2 (c) -0.2 (d) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:42 AM and 5:10 PM?\nAnswer: 508","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*l + 51*l = 189. Solve -4*g = -3*a - 4, -2*g = -3*a - l*g + 1 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*v + 8, 12*s = 11*s + 4*v - 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1*sqrt(132)*-3)\/(sqrt(1728) + 2*sqrt(1728)) + 0.\nAnswer: sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 2983*p**2 - 1513*p**2 - 10 + 1 - 1471*p**2 + 7.\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 19532, -7, 3, -0.5 in descending order.\nAnswer: 19532, 3, -0.5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 45.448 to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -y + 275, -5*y = -4*y - 5*n - 285. Let k(l) = -32*l - 7. Let p be k(6). Let c = p + y. Does 24 divide c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -5*h**3 + 4*h**2 + 5*h - 11. Give l(-3).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -147 + 146.8. Sort v, 0, 0.7 in descending order.\nAnswer: 0.7, 0, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0986515135+1306\nAnswer: 1305.9013484865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r*r\/(r\/(r**(-7)*r))*r))**18*(r*r*r**1*r)**(5\/4) assuming r is positive.\nAnswer: r**95","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g = 5*g + 28. Let n = 16 + g. Solve -9 = -n*a - a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -741.\nAnswer: 5\/741","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:08 AM and 6:49 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3901 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 d(h) be the third derivative of -2*h**6\/75 + 7*h**5\/50 - 7*h**4\/60 - 2*h**3\/5 + 92*h**2. Solve d(v) = 0.\nAnswer: -3\/8, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -22 + 34. Let q be (l\/(-18))\/(4\/(-30)). Suppose -3*t = -q*b - 0 + 8, -t + 2*b - 4 = 0. Solve -t*f = -16, -f = -a + f - 10 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -273*f - 30294. Calculate n(-111).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-23 - (25 + -20)) + 45.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.432 - 54969?\nAnswer: -54969.432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -3*z**5\/10 - 5*z**3\/3 + 12*z. Find the second derivative of n(i) wrt i.\nAnswer: -36*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/(24\/10))\/(16*(-16)\/(-11264)). Is -912\/17 less than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*114\/(-532))\/(1\/(-476))?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 87142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11 - 14. Let o = i + 24.7. Let c(t) = t - 12. Let g be c(8). What is the third smallest value in o, 1\/6, g?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.15 - -0.95. Let y = -25 + 26. Let t = y - o. What is the nearest to 1 in 4, t, 3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 580 = u - 2*c, -3*c - 2*c = -3*u + 1745. Round u to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8394 is divided by 7181.\nAnswer: 1213","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*513\/342?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*j - 167*j = -87*j - 286 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119665 = 3*s - 119653, s - 10 + 2 = 4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 12*f**2 - 3*f + 3. Let t(r) = 10 - 12 - r - 3*r**2 + 3 + 2*r**2 + 0*r. What is -2*p(z) + 6*t(z)?\nAnswer: -30*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*t**2 + 1)*(1 - 1 + 2*t) + (-4*t + 0*t + 2*t)*(2*t**2 + 2*t - 2*t) + t**3 - t**3 - 2*t**3 - 6*t**3 - 17 + 17.\nAnswer: -8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -322, -371, -444, -535, -638?\n\"Answer: m**3 - 18*m**2 - 2*m - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.1 (b) -4 (c) 51 (d) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.003324 to four dps.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, t: 2}. Give prob of sequence dd.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xe when two letters picked without replacement from innkeiwx?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7597 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 - 5*b**2 - 3*b - 3. Let n be g(-5). Suppose 30 = -n*z + 2*z. Let i(h) = -h**3 - 5*h**2 - 5*h - 3. Determine i(z).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19034 a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/21 and 45\/((-2475)\/(-88)) + (-3)\/(-70).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 224*q**2. Let l(k) be the third derivative of k**5\/60 + k**2 - 61. What is l(a(y))?\nAnswer: 50176*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1941 - -1930 - (-2 + -7 + 0).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -2*t**3 + 9*t**2 - 9*t + 6. Let z(d) = -d + 1. Give -i(q) + 6*z(q).\nAnswer: 2*q**3 - 9*q**2 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -379 + 833. Let a = z - -54. List the prime factors of a.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 48713*o - 26475.\nAnswer: 48713","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(0 + sqrt(320) + sqrt(20)\/sqrt(196) + -1 + -2))**2.\nAnswer: -5472*sqrt(5)\/7 + 266976\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u - 4. Let i be b(9). Solve i*p = p - 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18769789*f + 17409174 wrt f.\nAnswer: -18769789","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 108479092?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 = -181*m - 39 + 23 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 34? (a) 14 (b) 1.32 (c) -20\/9 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmmmmmmmm.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 142394050 and 427182150?\nAnswer: 427182150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zl when two letters picked without replacement from kkzlk.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -100*-6.1248\nAnswer: 612.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + 24. Suppose 0 = -484*j + 322*j + 1458. What is the greatest common factor of h and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.04039 - -0.85961. What is the second biggest value in 2\/3, 4, h, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 8*o**2 + 47*o + 56. Calculate the lowest common multiple of 24 and s(-8).\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14882459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 26030 + 143?\nAnswer: 26173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = 2*m + 3*m + 17, 3*m - 9 = -2*q. Solve -6*a = -3*a + q for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1810, -2351, -3216, -4411, -5942, -7815, -10036?\nAnswer: -12611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 + 2*q + 1. Suppose 2*g - 8 = 3*c, 2*c = -0*g - 3*g - 14. List the prime factors of b(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -18*z**4 + 42*z**3 - 22*z**2 - z + 4. Let x(g) = -19*g**4 + 41*g**3 - 21*g**2 - g + 5. Let a(l) = -2*x(l) + 3*y(l). Suppose a(k) = 0. Calculate k.\nAnswer: -1\/4, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20631 is divided by 1473?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + ((-12)\/2)\/(-3). Let w = 0 + n. Solve w - 15 = 5*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*p = 406 - 296 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79940 = 1590*y - 65*y + 826*y - 253902 for y.\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 14, -22 in ascending order.\nAnswer: -22, -2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -705 (base 8) to base 10\nAnswer: -453","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/(-78)*438\/1752?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 988*o**2 + 27*o - 412. Is s(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from mfmzffzm?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -0.3, 2\/9, 0.083?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 336 is divided by 44?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-13692)\/(-978) - (-66)\/(-2).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (3 - -2) + (-2 - 0)*3. Solve w + 5*w = u for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*d + 19 = -0*d, -d = -2*h - 8. Let k be 3\/(-3) + 5*(-2)\/h. Do 2\/197 and k have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1531 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 302231033 (base 5) to base 14.\nAnswer: 237681","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6922*v**6 - v**5 + 5*v**3 - 434028*v**2 wrt v?\nAnswer: -830640*v**3 - 60*v**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/4*176\/440?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*x - 1349 = -1414. What is the second smallest value in -1, 0.47, -0.4, x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4366832*n**3 + 17467321*n**3 - 4366829*n**3 - 4366826*n**3 - 4366832*n**3.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - -311?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 35\/44 + -6\/11. Put 1\/7, p, 2 in decreasing order.\nAnswer: 2, p, 1\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383*g + 193*g - 614*g**2 + 611*g**2 + 190*g.\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-5)*5\/6. Let m = 11 - 10.6. Let b(l) = -l**3 + 2*l**2 + 15*l + 1. Let h be b(5). What is the biggest value in h, o, m?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 26 and -0.3 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (4 - 0)) + 4 - 24?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 248 and 752?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 PM and 10:36 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 207270*j**2 - 263156260656*j\/7 + 7630311409312\/7.\nAnswer: -2*(j - 362708)**2*(j - 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 3758, 3557, 3356, 3155, 2954, 2753?\n\"Answer: -201*w + 3959","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 4173999505 - -0.05?\nAnswer: 4173999505.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that 3*s**3 + 534*s**2 - 3*s - 534 = 0.\nAnswer: -178, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.0246 - 0.027981. Round b to 3 dps.\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7466\/1309 - -2\/187. Calculate the common denominator of 73\/8 and f.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = -95*h + 310578. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -7*s**3 - s**2 - 31*s - 30. Calculate o(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m\/(m*m\/m**7)))\/((m*m**16*m)\/m))**(-31) assuming m is positive.\nAnswer: m**682","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-64)\/(-336)*(-1 + -2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s + 2*h = 5*s - 3, 5*s = -2*h - 9 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.02 in 0.15, -1\/4, 5, -0.4?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (43\/86*2\/(-3))\/((-1)\/204279)?\nAnswer: 149, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/2, -4, 0.1, 64?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d. Let p be o(-7). Is 70\/15*(-30)\/p a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -819, -1633, -2437, -3225, -3991, -4729, -5433?\n\"Answer: g**3 - g**2 - 818*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 4*d = -20, -12*d + 9*d = -3*r + 15 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = 13*l - 58, -4 = 2597*l - 2599*l - 2*m for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(-45)*-2*(-180)\/(-70)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 90 * -0.155841.\nAnswer: -14.02569","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300137181?\nAnswer: 3, 173, 578299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 26. Let f be ((-2)\/8 - -1)*(-40)\/c. Find the third derivative of -2*w**2 - 20*w**4 - 2266 + 2266 + 7*w**f wrt w.\nAnswer: -480*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*c**3 + 5*c**3 - 4*c**3 + 5*c**3.\nAnswer: 3*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -244, -175, 52, 515, 1292?\nAnswer: 2461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.372 - 6.812. Which is the third biggest value? (a) -0.1 (b) s (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g**3 - g**3 + g**3)*((3*g + 5*g - g)*(-1 - 1 + 3) - 3 + 3 - 4*g + (-2*g + 6*g + 5*g)*(-1 + 0 + 2)).\nAnswer: -24*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*q**3 - q**2 + 560347*q - 560352*q + q**2.\nAnswer: 5*q**3 - 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 - (98 + 34 - 85).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 25 + 13. Let q = m - 37.932. What is q rounded to two decimal places?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*j**2 - 3731260*j + 4975024.\nAnswer: -2*(j + 621878)*(3*j - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21323 + 311?\nAnswer: 22300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5276?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 7 - -375?\nAnswer: 37c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 306549?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.6 + -0.7. Let o be 75\/21 + -5 + 2. Which is the second smallest value? (a) 1\/5 (b) o (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(3 + sqrt(6336) + 1)**2 - ((-3*sqrt(5324) + (sqrt(44) - (sqrt(5324) + 1 + sqrt(5324) + sqrt(5324))))**2 + -1).\nAnswer: -217660 - 1220*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 + 157. Which is smaller: u or -67?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**3 - 55*t**2 + 55*t + 2209. Calculate m(-27).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by -39\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -152 (b) 1 (c) -3 (d) -1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**2 - 168*t + 2352.\nAnswer: 3*(t - 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 2*y**2 - 5. Let k be b(-5). Suppose -i + 0*i - k = 0. Let l = -25 - i. What is the greatest common factor of 30 and l?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-20)\/80).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -121*w - 37 + 54*w**2 - 55*w**2 + 131*w. Determine u(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 402022 - 108012 = 4*v, -8 = -2*v. Let a be -3 - (-1 - (0 - -1)). Let j be -2 + (b + a - -1). Round j to the nearest ten thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vx when two letters picked without replacement from vqfqfxfbfb?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}