diff --git "a/data/dm_maths/full_data_1/1674_11255.jsonl" "b/data/dm_maths/full_data_1/1674_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1674_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: (15\/180)\/(3\/(-8))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(5) + 1 - sqrt(5)) + 5 + sqrt(5) - (-4 + sqrt(55)\/sqrt(11))) + (sqrt(80)*3 - sqrt(80) - sqrt(10)\/(5*sqrt(2))))*-3.\nAnswer: -117*sqrt(5)\/5 - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 396702?\nAnswer: 2, 3, 22039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 375580.\nAnswer: 2, 5, 89, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -2*l - 3*j, -3*l = -4*j + 65 - 67 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 646\/680 - (-12)\/40.\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**2 - 13*k + 3. Let d be n(-9). Let t = d + -40. Does 5 divide (17 - (2 - t)) + 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.52360492 to 2 dps.\nAnswer: -3.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/46383436 and 73\/20.\nAnswer: 231917180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 2*w + 6 = 0, 5442*h + 3*w + 9 = 5439*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4272?\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -20\/11 and (-198)\/(-72) - 3\/(-24).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 164, 346, 528?\nAnswer: 710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88388 is divided by 4419?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((sqrt(64)\/(sqrt(8) - sqrt(32)\/(-3*sqrt(4) + sqrt(4))))**2 + 3 + (sqrt(128) + (sqrt(128) - (sqrt(128) + sqrt(128)*3)) + 2)**2).\nAnswer: -23515\/9 + 320*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve f = 5*r + 38, -10*r - 7*r + 6*f = -16*r - 3*r + 4 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1851, -3734, -5615, -7494, -9371, -11246?\nAnswer: -13119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 88*u - 94. Determine z(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -86 by 5299.\nAnswer: -86\/5299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -19369549?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f**3\/2 + 35*f**2 + 125*f\/2 + 30 = 0 for f.\nAnswer: -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59091 is divided by 96.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bm when two letters picked without replacement from bmdbdddjbj.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*d**3 + 876*d**2 - 915076*d - 2753004.\nAnswer: 4*(d - 383)*(d + 3)*(d + 599)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(162) - (3 + sqrt(162) + sqrt(162) + -2*sqrt(162) + sqrt(162) + sqrt(162) + sqrt(162))**2) + 3).\nAnswer: -4392 - 459*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 15 and 13.\nAnswer: 195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -34744*h**2 - 20674?\nAnswer: -69488*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the third derivative of -x**5\/60 - 5*x**4\/24 - 3*x**3\/2 - 2*x**2. Suppose 2*l - 4*l - 5 = -3*f, 0 = -4*f - 4. Calculate m(l).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1259*a - 3904*a + 1387*a + 1256*a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = y - 116, 4*y - 450 = u + 504 - 910 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230837400 by 23130.\nAnswer: 9980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226307.\nAnswer: 226307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(133) - (sqrt(133) - (sqrt(133) + (sqrt(133) + sqrt(133) + -3*3*sqrt(133) - sqrt(133)) + sqrt(133)))) + sqrt(133))\/sqrt(7).\nAnswer: -5*sqrt(19) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(567) + sqrt(567)*-4)*-2)**2*-1 + -2*sqrt(567)*2*-6)*-5.\nAnswer: -1080*sqrt(7) + 102060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 6 = 3*x, 4 - 16 = -3*f - x. Solve -3*q + 2*n = 5*n - 18, f*n + 2 = q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - -1) + -1 + 3. Let l(i) = -i**3 + 7*i**2 - 2*i - 5. Let u be l(6). Let y = u + -13. What is the highest common factor of k and y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 2, 0, 1 in ascending order.\nAnswer: -3, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1030387680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from {o: 5, h: 7}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of 12*r - 1\/3*r**3 + 2 + 7*r**2. What is the remainder when z(9) is divided by 29?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2010912 is divided by 45?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -2*f**5\/45 + f**4\/2 + 86*f**3\/27 - 131*f**2\/3 + 140*f + 7742. Solve y(q) = 0.\nAnswer: -7, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 4*x + 25 = 11, x - 5 = j. Let w = j + 9. Let a be 4\/w*(-3)\/(-7). Which is greater: -2\/11 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 270, 421, 556, 675?\nAnswer: 778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 64 and 100198304.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 113 - 201033112?\nAnswer: -201032333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(2)*-2 - 2*(sqrt(8) - sqrt(2))) + 1)**2*-6.\nAnswer: -774 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 237732?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = q**2 - 4*q + 2. Let x be k(3). Let j be ((-4)\/8)\/((-1)\/2). Suppose -j = 5*o + f - 0, -2 = 2*f. Put x, 2, o in decreasing order.\nAnswer: 2, o, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 251 * -0.76.\nAnswer: -190.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 1 - (-19 + 19)) + (7 - 9).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - 12 - 8. Suppose -z*g = -7*o + 4*o + 7, -2*g + o - 3 = 0. Round g to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 2*v - 5*o, -15 = -v - 2*o - o. Let p be -10*50\/(-4) - -1. Suppose -2*k = -3*k + p. Calculate the greatest common divisor of v and k.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m*m**(-1)*m)\/m*m)**(-8\/5))**(-2\/57)\/(m**(-2\/11)\/m*m\/(m\/(m*m\/(m**(-2\/3)\/m)))*m**(-1\/7)\/(m**0*m)) assuming m is positive.\nAnswer: m**(-26986\/21945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**3 + 614*g**2 - 10*g + 3. Let t(a) = -3*a**3 + 409*a**2 - 6*a + 2. Determine -5*h(s) + 8*t(s).\nAnswer: s**3 + 202*s**2 + 2*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/18*4*-25. Suppose 7*n + 3*n = i. Solve -3*x - f = -n, f - 5 + 16 = 5*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (22\/33)\/(2\/(-21))*2\/2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -833\/244 or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 5 - 556*r + 3 + 3.\nAnswer: -556*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - 10) + 6 - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1756, -3482, -5208, -6934, -8660?\n\"Answer: -1726*g - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 332720 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 60 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = r - 3 - 3, -5*r - 5*c = 10. Let a be (r + 4\/30)*3. Let d = 0.03 - -4.97. What is the third smallest value in a, -0.1, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x + 3. Let f be k(-7). Suppose -t = r - f, r = 2*r - 2*t - 7. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**3 + 6*g**2 + 16*g - 16. Let c(n) = 3*n**3 - 13*n**2 - 32*n + 32. Let y(z) = -2*c(z) - 5*o(z). Suppose y(q) = 0. What is q?\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3142?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 24 take away 6912816?\nAnswer: -6912792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11358?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 139 divided by 4?\nAnswer: 139\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 48 = 4*o, -2*c + o = 2*o + 27. Let r = c - -18. Suppose 31*u - 3*v = 31*u - 12, 0 = 3*u + 3*v - 33. Sort u, -2, r.\nAnswer: -2, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 516\/26 + (9 - (-805)\/(-91)). Let n = 1261 - 519. Is n\/1*a\/40 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -60, -297, -712, -1305, -2076, -3025?\n\"Answer: -89*j**2 + 30*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of -z**6\/120 - z**5\/12 + z**4\/4 - 71*z**2. Let i be m(-6). Solve 2*g + i = 2 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 5*w**2 + 4*w - 8. Let m be q(-8). Suppose -355 = -y - 3*g - 296, -y - 5*g + 61 = 0. Calculate the greatest common factor of y and m.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 839986, 840012, 840038, 840064, 840090, 840116?\n\"Answer: 26*m + 839960","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2529133723 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -4*q - 4. Let y(v) = 13*v + 12. Suppose 3*p - 2*x - 23 = 0, 3*p - 34*x + 29*x - 26 = 0. What is p*n(o) + 2*y(o)?\nAnswer: -2*o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 15*f - 27. Let b be o(3). Let p = b + -14. Let w = -1 - -1.5. What is the closest to 0 in -1.8, w, p?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (3\/(-9))\/((-14)\/12 - -1). Let r be -24 + 3\/1*z\/3. Let m be ((-22)\/12 - 2\/(-6))*r. Solve -c - 5*q + 24 = 0, -4*q + m + 3 = 5*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -456806, -913613, -1370420, -1827227, -2284034?\n\"Answer: -456807*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -8 + 45?\nAnswer: 3d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4*x + 2)*(-x + 3*x - 3*x) + (1 + 1 + 0)*(-2*x**2 + 6*x**2 - 3*x**2) + 0*x**2 - x**2 + 2*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -856764 not equal to -3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 12:30 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.69 + 0.39. What is the nearest to -0.1 in s, -0.4, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 75 and 1768680.\nAnswer: 8843400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the third derivative of d**6\/120 + d**5\/15 - 7*d**4\/24 - 5*d**3\/6 - d**2. Let r be -77*(-8)\/56 + -16. Let v be l(r). Solve -3*t - 2 = -v for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 + 8*f - 2. Let n be (-2 + 1)*159\/(-1). Let g be n\/(-18) + (-3)\/18. What is the units digit of y(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (4550\/(-21) + -6)\/((-4)\/6). Let h = -330 + j. What is the lowest common multiple of h and 83?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/((-3)\/(-3))*-2. Suppose l*o = -o. Let m = -15\/29 + 241\/522. Which is bigger: m or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120220101 (base 3) to base 12.\nAnswer: -255a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -3522*x**5 - 2*x**4 + 7367*x - 6. Let d(w) = w**5 + w**4 + 3*w + 3. Let n(j) = 2*d(j) + t(j). Find the second derivative of n(v) wrt v.\nAnswer: -70400*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 5:11 PM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -17*u - 166. Let n be w(-9). Let y(g) = 4*g + 61. Let v be y(n). Let b(s) = s - 8. What is b(v)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t + 6*t - 3. What is the remainder when t is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 619 and 1406?\nAnswer: 870314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16.6 - 60.4. Let i = -76 - w. Which is the closest to -0.02? (a) i (b) -2 (c) -5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n + 2*i + 48 - 2, -4*n - 3*i + 41 = 0. Solve 10 = 13*y - n*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(6*(-4 + sqrt(3)) - ((sqrt(21)\/sqrt(7) - sqrt(3))**2 + 3)).\nAnswer: -30*sqrt(3) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 175*l**2 - 150. Let g(h) = h**2 - 1. Determine -150*g(i) + v(i).\nAnswer: 25*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1709027 to the nearest integer?\nAnswer: 1307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 146?\nAnswer: -145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeee. Give prob of picking 3 e.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -w**3\/2 - 2*w**2 + 109*w + 21. Let g(m) be the first derivative of b(m). Give g(-5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 + 10 + 24 = 2*m for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-186)\/8*(1 + 10\/(-2)). Suppose 0 = i + 2*k - 631, -i - k + c + 535 = 0. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15251788621 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22365570 by 1.\nAnswer: 22365570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 957 + -1\nAnswer: 956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -0.3, 2, -0.1, -31?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3683 - -3686. Put 37, u, 1, 2 in ascending order.\nAnswer: 1, 2, u, 37","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45002 is divided by 59?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 340.999 + 26884.9?\nAnswer: 27225.899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 3*f**3 + 19*f**2 + 13*f - 46. Let z(h) = -4*h**3 - 21*h**2 - 14*h + 44. Let q(b) = -3*c(b) - 2*z(b). Give q(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1\/(-7) + 551\/1064. Let v = -0.3 + 0.9. Let f = -2.4 - v. Which is the closest to 2\/7? (a) f (b) -1 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -5 (b) 1.2 (c) 29\/7 (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 8:04 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 4\/(-12))*(-9)\/(-6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - 95810103?\nAnswer: -95810102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 711*p - 819*p + 648 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-16)\/l*l*l)\/(l*l*l*l**(4\/5)))**(-2\/73) assuming l is positive.\nAnswer: l**(188\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -141*f - 2016 = 83*f for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3 - (3 - -1) - -5. Suppose -16 = -4*l - y*h, -4*h + 0*h + 12 = 2*l. Suppose 0 = -l*g - g. Solve g = b + 3 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -31196.916294 from -5.\nAnswer: 31191.916294","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1427 + -1432. What is the nearest to -0.02 in l, 2\/5, 3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2 + 0.1. Let v = -0.4 - o. Let i = 0.05 + -0.05. Which is the nearest to 0? (a) -5 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117) - (sqrt(117) + sqrt(117) + sqrt(117)*2 + 3) - (0 + sqrt(117)*-1))**2*1 + 2.\nAnswer: 36*sqrt(13) + 479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and 216?\nAnswer: -648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-3*(1 + sqrt(5000)) - -3*(sqrt(5000) - (4 + sqrt(5000))))**2.\nAnswer: 27000*sqrt(2) + 271350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -2*u - 12*u - 2 - 2*u + 17. Let y(z) = 32*z - 30. Let m(q) = -5*s(q) - 2*y(q). Find the first derivative of m(j) wrt j.\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -20*d - 1069*d + 11979 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*j + 3*j + j + (3*j - 4*j + 2*j)*(-3 + 4 - 4))*(j - 4*j + 2*j + (1 - 1 + 3*j)*(-3 + 5 + 0) + 5*j - 4*j - 3*j).\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, 44, 116, 218, 350, 512?\nAnswer: 704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 300 and 825.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x**2 + 15*x - 37. Let o be (-1)\/(((-24)\/44)\/6). Calculate the least common multiple of 11 and k(o).\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i - 6*i + 2*i + (4*i - i - i)*(-2 - 6 + 2).\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 3*g + 35, -5394*g + 5422*g = 6*q + 68 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4160.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -5692, -11329, -16966, -22603, -28240?\n\"Answer: -5637*s - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0 from 0.0984.\nAnswer: 0.0984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of a - 7*a**5 - 13*a**5 - a**5 wrt a.\nAnswer: -420*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*y = 39*y + 10*y + 729 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -5 (b) 399.7 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 8 = 3*v, -28*v + y = -23*v - 16 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (1 + -16 - (36 - 29))?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 1:21 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/4)\/a)**(-50))**29 assuming a is positive.\nAnswer: a**(2175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is g in -169*g**5\/4 - 31759*g**4\/4 + 24977*g**3 + 28113*g**2 + 6876*g = 0?\nAnswer: -191, -6\/13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 + 5*o + 9. Let m be d(-5). Which is smaller: 6 or m?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 2, 38898, 3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -22*n + 27*n - 14*n. Let w(y) = -y**2. What is k(w(d))?\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 AM and 5:25 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u + 0*u + 3*u)*(2*u + 112*u**2 + 256*u**2 - 67*u**2).\nAnswer: 903*u**3 + 6*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (-6 + 9 - 9) - -1) + -20?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*2\/(-4) - 2. Let t = 0 + i. Let w be (-8)\/(-16)*(0 - (6 - 3)). Which is the nearest to t? (a) -1\/4 (b) 0.3 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/206 and 33\/1030?\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 0*f = -f - 20, -30 = -i + 5*f. Suppose 3*j - q - 8 = 2*j, -i*j + 10 = q. What is the tens digit of (3\/6)\/(j\/708)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 8.0302 and -9825?\nAnswer: 9833.0302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 12, -7868\/11, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -2*k + 129. Let n(c) = -c + 19. Let i be n(15). Suppose 3*b = i*q + k, -q - 6 - 128 = -4*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 4*k = 4*p - 16, -4*k = -p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 + 1820*l - 7245. Calculate q(4).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 536 - 528. Let y = -0.13 + -3.87. Which is the third biggest value? (a) 0.3 (b) y (c) 1\/5 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a millennium?\nAnswer: 46000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -59?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 24 = -5*z, 2*z + 51087 = 6*u + 51091 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.5704 rounded to the nearest integer?\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0119 - -77.\nAnswer: 77.0119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-3*sqrt(11))**2*-4 + 4.\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 91 - 88. Suppose v + 270 = 2*q, -q - w*v = -95 - 26. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -48 bigger than -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24590?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 25 = 0, -w - 4*s = 23 - 2. Let n = w + 5. Calculate the smallest common multiple of 22 and n.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 332 a factor of 86294361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4143 is divided by 990.\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 498 and 4598034?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 178411 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 1.26, 0.01, 0, -2.9, 9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 58964*l**2*z**4 + 11*l**2*z**2 - 4*l**2 + 7079*l + 2 with respect to z.\nAnswer: 235856*l**2*z**3 + 22*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, 0, 5, -38, -3, 2.\nAnswer: -38, -3, 0, 2, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*q - 154 = 9*q. Find the second derivative of -14*f - 32*f**4 - q*f - 16*f**4 wrt f.\nAnswer: -576*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/282 greater than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4836891 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 61*n**2 - 44*n**2 + 1 - 29*n**2 in the form p*n + m + v*n**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 + 5*j + 6. Let t(l) = -2*l**2 + 3*l + 3. Let m = -4850 + 4855. Calculate m*t(w) - 3*g(w).\nAnswer: -w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 676932 is divided by 796?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -389, -436, -493, -566, -661?\nAnswer: -784","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3651868328 to the power of 1\/2, to the nearest integer?\nAnswer: 60431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 7593635?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 8\/6*(4 - 1). Suppose 1 = b*x - 7. Suppose 3*d = -x*d. Solve d = p + 3*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -220 by -55.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 7*h + 8*h**3)*(0*h + h - 3*h) + h**4 + h**4 - h**4.\nAnswer: -15*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 9040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -546 + 548. Suppose -5*g + s + 6 = -0*g, r*g = s. What is the smallest common multiple of 118 and g?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2768?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of -t**3 + t**2 - 71. Give x(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 21*i. Let w(r) = -43*r. Calculate 15*d(p) + 6*w(p).\nAnswer: 57*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - -1333?\nAnswer: 1330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2.7 - 1.6. Let i = 1 - m. Let g = i - -0.3. Which is the third smallest value? (a) g (b) 0.4 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2a + -974f8?\nAnswer: -974ce","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 2 = -4*d - 6, 0 = 3*g + 5*d + 13. Suppose 472 = 4*y - 4*h, 9*h - 148 = -y + g*h. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2433713, -9734862, -21903449, -38939480, -60842961, -87613898?\n\"Answer: -f**3 - 2433713*f**2 - 3*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 677 - 672. Let p(j) be the third derivative of -19\/60*j**x + 0*j + 0*j**4 + 0 - 3\/20*j**6 + 19*j**2 + 0*j**3. Find the third derivative of p(c) wrt c.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 + 5 + 11)*(16 - 16 + 34*f)*(-9*f + 5*f - 12*f) to the form k*f + o + l*f**2 and give l.\nAnswer: -28832","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**3 - 12*g**2 + 15*g - 57. Let q be u(8). Let j = 455 + q. List the prime factors of j.\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 19\/10 of a litre?\nAnswer: 1900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -71 + 129. Let i be 6\/(192\/3148) + 3\/(-8). Let u = i - j. Calculate the highest common factor of 360 and u.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 973375 by 325.\nAnswer: 2995","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 2)*(-3 - -3). Let x be 0\/1 + (-2)\/(-8). Which is the closest to t? (a) 0.2 (b) x (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 26*u - 34. Suppose 3*z + 3*c = 57, -5*z = 4*c - 58 - 34. Let h(t) = -5*t + 7. Determine z*h(i) + 3*v(i).\nAnswer: -2*i + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of 0 - 4*j - 1\/2*j**3 - 2*j**2. What is p(4)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -m - 19*m - 8*m - 112 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -4, -2\/5, -3\/4, -0.07?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 52001 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 + 12*l**2 - 9*l - 4. Let n be s(11). Suppose -275 = 13*o - n*o. Let x = o + -53. Put -32, 5, x in descending order.\nAnswer: 5, x, -32","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3479, -2647, -6, 5 in descending order.\nAnswer: 3479, 5, -6, -2647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 7*p = -14158 - 2930, -p + 1 = 0. What is the remainder when z is divided by 118?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.4, -3, 4, 0.65, -11, -1\/4?\nAnswer: 0.65","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a**4 + 676*a**3 + 19384*a**2 - 20064*a = 0. Calculate a.\nAnswer: -132, -38, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 6968.211 to the nearest one thousand.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 6479994 = g, -c + 1083453 = -g - 536553. Round c to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 3*m + 27, -450*m - 444*m = -2*s - 896*m + 2 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of 0*x + 0 + 0*x**6 + 0*x**7 + 3\/16*x**8 + 0*x**5 - 38*x**2 + 1\/12*x**4 - 1\/6*x**3. Find the second derivative of t(k) wrt k.\nAnswer: 1260*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1100789, -1100784, -1100767, -1100732, -1100673?\nAnswer: -1100584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -472 + 994 = -140*a - 1018 for a.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/444104 and 54\/14201.\nAnswer: 4885144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by 60.\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -53. Let g = 6667\/6 - 1111. Which is the closest to 0.1? (a) g (b) -1.4 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/207 and 70\/843?\nAnswer: 58167","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 209*p**3 - 77*p**2 + 286. Let m(i) = -8*i**3 + 3*i**2 - 11. Let d(s) = 3*k(s) + 77*m(s). Find the first derivative of d(r) wrt r.\nAnswer: 33*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r - r**2 - 2051 + 1382 + 6*r - 8141 - 3730.\nAnswer: -r**2 + 2*r - 12540","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 + 176421?\nAnswer: 176422","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 4 - 3)*(-5*w - 3*w + 3*w) + 2*w - 3*w + 3*w)*(-3*w**3 + 2*w**3 + 2*w**3) in the form q*w + u*w**4 + l*w**3 + v*w**2 + b and give u.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3637392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10597*q**2 - 10586*q**2 + 21200*q**2.\nAnswer: 17*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 734508 and 0.427.\nAnswer: 313634.916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + (-15 - (0 + -30)) + -2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -166 - -162.02. Let w = -0.02 + z. Sort w, 2\/5, -0.4, 0 in descending order.\nAnswer: 2\/5, 0, -0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 4*x + 3552, 0 = 5*x - 5*d + 7*d + 4475. Let q = x + 1273. Calculate the highest common divisor of q and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 127774 divided by 12?\nAnswer: 63887\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 o when two letters picked without replacement from {e: 3, o: 4}.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a litre in millilitres?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 + (-18)\/8)*2\/20?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10\/(560\/18))\/(18\/(-21)).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 289666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1900340234?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -23 in 25\/309, -28, 0.2?\nAnswer: -28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hrg when three letters picked without replacement from {g: 6, r: 4, h: 1, s: 2, a: 1, f: 1}?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j + 8. Let z be y(-6). Let l(p) = p + 0*p - 4*p + 5*p + z. Calculate l(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -371*c + 1923. Is d(-56) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121001220 (base 3) in base 16?\nAnswer: 2dc3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9239.63 + -9191. What is d rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 29 = -0*y + 7*y, -5*y = 20. What is the biggest value in -1\/3, p, 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 7*f**2 + 5*f. Let s(m) = -6*m**2 - 4*m. Let k(l) = -4*a(l) - 5*s(l). Let t(y) = -5*y + 3*y + 0*y. Determine k(t(c)).\nAnswer: 8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2163 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q - 3. Let x be t(-6). Suppose -s - x*u = 5, -5*s - u - 14 = 3*u. Let o be ((-3)\/s)\/((-6)\/(-12)). Solve -v = o*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (1\/3)\/(10 - 115489\/11550) and 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 206 - -96. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 - 141*q**2 + 682*q - 6888. Calculate k(-146).\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.026 in 0.07, -2, -3, 0, -299\/42?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56185097?\nAnswer: 56185097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -134*f - 81614 = -261*f + 1245*f for f.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 2. Let f = 30 - 14. Let t = 10 - f. Determine k(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 163*r + 820 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 5*f + 5*f**3 - f**2 + 5*f**2 - 3*f**2. Suppose 6*k - 2 = -t + 3*k, -3*t = -5*k - 48. Let j(a) = 14*a**3 + 2*a**2 + 14*a. Calculate t*m(w) - 4*j(w).\nAnswer: -w**3 + 3*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 406039006?\nAnswer: 2, 19, 149, 71713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4799675*g*q**3 - 29*g*q + 2*g + 9*q**3 - q + 270898 wrt q.\nAnswer: 28798050*g*q + 54*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8672 + 26338\/3. Which is greater: n or 106?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1910345 is divided by 237.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 126*g + 3. Let y(j) = -2*j**3 - 2*j**2 + 3*j + 2. Let r be y(-2). Let n be i(r). Calculate the common denominator of 2\/5 + n\/(-330) and 21\/2.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13995810 rounded to the nearest 1000000?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence upm when three letters picked without replacement from {u: 2, m: 1, p: 2, l: 3, o: 3, y: 3}.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 58187\/283 or 206?\nAnswer: 206","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6856993 - -2?\nAnswer: 6856995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*2 + 0*1\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1182226489 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-315)\/60*50\/(-35))\/((-3)\/(-6144))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -4*g + 45, -4*o + 21*g = 24*g - 53 for o.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 206706327332381 and 3?\nAnswer: 206706327332378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3101*v - 26322 = -1095*v + 43888 for v.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/32 of a tonne in grams?\nAnswer: 93750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (88\/28 - (1 - 0)) + (-459)\/153.\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from wjwwwwww.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 - 2 = 4*w, q + 2*w = 11. Let z(v) = -q*v - v**2 + 5*v. Let h(f) be the second derivative of -f**3\/3 + 2*f. Give z(h(a)).\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1212101\/2 or 606052?\nAnswer: 1212101\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6683558797 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62635 is divided by 62572.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.07 (c) 22 (d) -1.2 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(216))\/sqrt(9))\/(sqrt(432)*-1 + sqrt(12)).\nAnswer: -2*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.9 in 1\/9, 0.5, -6\/11, -1\/2?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s = -4860 + 5371. Solve 74*n = s*n - 2 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o**2 + 0*o**2 + o**3 + (14 - 4*o - 14)*(-8*o + 8*o + 4*o**2).\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 7*c + 28342, -202*x = -207*x - 3*c + 28332. List the prime factors of x.\nAnswer: 3, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)\/sqrt(4)*5)\/sqrt(4) + 1 + -5 + (sqrt(2) - ((sqrt(242)*1)**2 - sqrt(2))) + sqrt(320)\/sqrt(10) + -1.\nAnswer: -247 + 11*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/4 - ((-2)\/1)\/(-2)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/18)\/((26\/39)\/((-2)\/(-18)))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 9:36 AM?\nAnswer: 4:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*n**2\/11 + 58*n\/11 - 24.\nAnswer: 2*(n - 4)*(n + 33)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6283354 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 50.4 + -44. Let u = z - 10.4. Let d = -0.1 - 0. What is the closest to d in -5, u, -6\/11?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 124, 239, 428, 691?\n\"Answer: 37*q**2 + 4*q + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -55 - (-24 + -3) - -43 - (-38 - 2)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a*(a*a**0*a)\/a)**(-5)\/((a**(-2)*a)\/(a**0*a)))\/((a\/a**(2\/5)*a)**8\/(a\/a**(-1\/3)*a)**(-45)) assuming a is positive.\nAnswer: a**(-629\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 6, m: 1, v: 2, p: 1, w: 3}. Give prob of picking 1 v and 1 w.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12 + -6)*1\/(-1). Let d = -119 - o. Let f = d + 213. What is f rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, 2, -0.3, -33\/29, 1\/5, -8?\nAnswer: -33\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2626 and 1010.\nAnswer: 13130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -31343\/229 or -138?\nAnswer: -31343\/229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5620 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 2*s**2 - s**2 + 15 - 13. Let o be g(0). What is the third derivative of 21*k - 7*k**o - 5*k**5 - 21*k wrt k?\nAnswer: -300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -105 + 57. Let v = 69 + l. What is the remainder when v is divided by 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhhh when four letters picked without replacement from hhvhvhhhhvvhhh?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*j + 80*p = 82*p + 50, -3*j + 3*p - 3 + 33 = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - 0) + -18 + 15.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**3 + 6*s**2 + 5*s + 3. Let m(f) = -8*f + 4. Let a be m(0). Let x(v) = 5*v**2 - v**3 + 0*v + 2 - v + 5*v. What is a*c(o) - 5*x(o)?\nAnswer: o**3 - o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4\/794843413 - -1441662530379\/914069924950. Let k = 2\/7475 - z. What is the common denominator of k and 31\/2?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5010549*t**3 - 233*t**2 - 3*t + 361 wrt t.\nAnswer: -30063294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54017208.\nAnswer: 2, 3, 7, 61, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1383082 divided by -4922?\nAnswer: -281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 1)**2 + sqrt(7) + 2 + -1 + sqrt(7).\nAnswer: 2*sqrt(7) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 + 79. Let b = -40.5 + a. What is the closest to -1 in b, -3\/7, 2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and 106316547579.\nAnswer: 106316547577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a millimeter in micrometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1430 - 852. Suppose 3*v - 4*v + y = 0. What is the remainder when v is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/(-21)*3 + (-8 - 1110\/(-42))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-72)\/(-45))\/((-2)\/5). Is 2 + 320 - ((-8)\/j + -4) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -2544?\nAnswer: 2538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 16*y**2 - 895*y + 15413. What is d(18)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6*(-5)\/(-4)*81\/(54675\/(-216)).\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -39 - -45. Suppose 0*b + 3*b = 6. Let z = b - 2. Solve a = -4*v + 15, -3*a + z = -5*v + p for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -t**3 + 7*t**2 + 2*t + 10. Does 18 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 762 - 3823\/5. Let i = 1 + 3. Let z be 100\/(-45) + i\/18. Which is smaller: z or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00712033 rounded to 3 decimal places?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g**3 - 20*g**2 + 23*g + 48. Calculate the remainder when 64 is divided by x(-21).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 4*325\/10*(-12)\/(-20). Suppose -9*b + 75 = -s. Solve b = 2*v - 3*l, 5*l + 37 = 4*v + 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + 10\/8)\/((17 - 18) + 332\/(-16))?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 290, 583, 878, 1175, 1474, 1775?\n\"Answer: k**2 + 290*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -2*j, 3*j - j = -5*c + 6. Suppose -7*o**c - 23*o + 7*o + 19*o**2 + 4 = 0. Calculate o.\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of f**6\/120 - 7*f**5\/60 + f**4\/4 + 5*f**3\/6 + 2*f**2. Let x be a(6). What is the closest to 2\/5 in 2, x, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -105641*-429.\nAnswer: 45319989","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 364.694 * 16.\nAnswer: 5835.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/(-15) + 34\/(-10). Let k = -139 - -77. Let o = k + 64. Sort o, 0, p.\nAnswer: p, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - 3*o**4 + 0*o**4 + 3*o**4 - 2*o**4 - 3*o**4 + (-2*o**2 + 6*o**2 + 0*o**2)*(-o**2 + 3*o**2 + 0*o**2).\nAnswer: o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6152?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1255727 to the power of 1\/2, to the nearest integer?\nAnswer: 1121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -6. Solve -r*o - 5*p = 27, 0 = 2*o - 3*p - 14 + 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q**2 - 5*q - 3. Let p be r(6). Is (-3)\/2*(-66)\/p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 248*t**3 + 145*t**3 + 2*t**4 + 0*t**2 + t**2 - 89*t**3 in the form v*t**2 + g + d*t**3 + c*t**4 + i*t and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 20 = -2*b + b, -3*r + 15 = -3*b. Let w(d) = -d**2 - 9*d + 13. Let m be w(-10). Put m, r, 1 in descending order.\nAnswer: r, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t = -4*t + 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the second derivative of -k**5\/20 + 7*k**4\/12 - 3*k**3\/2 + k**2\/2 - 3*k. Let l be g(5). Let 351*d - l - 341*d + d**2 + 31 = 0. Calculate d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -0.3, 4 in descending order.\nAnswer: 4, 2, -0.3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-11)\/v**(-10)*(v*v\/(v\/((v*v**(-10)*v*v*v)\/v*v*v)*v))\/(v**(5\/12)*v) assuming v is positive.\nAnswer: v**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2034.63314 to the nearest one hundred.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 4, 6\/31, 0.5, 3469 in ascending order.\nAnswer: 0, 6\/31, 0.5, 4, 3469","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 - 11*q**2 - 77*q - 24. List the prime factors of y(16).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -7*c**2 + 11. Let y(t) = 8*t**2 + t - 12. Let m(f) = 7*p(f) + 6*y(f). Suppose x = 5*r + 5, -2*x - 2*x = -5*r - 20. Is 5 a factor of m(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2939993 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in -1, -0.5, -1.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*g - 184 = 480 + 272. What is the highest common divisor of g and 9522?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18? (a) -5 (b) -0.5 (c) -0.36 (d) 3\/5 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 94.5865t to grams.\nAnswer: 94586500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qrzqzgzqqqqqzrqzg. Give prob of picking 1 r and 1 g.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - 6*m + 2*m)*(-3*m**4 - m**4 - m**4) + (-2*m**2 + m - m)*(23*m + 10*m**3 - 23*m) + (0*m**4 + m**4 + 2*m**4)*(-m - 2*m + m).\nAnswer: -16*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-855)\/(-1596) - 25\/(-35).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12608283157 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 445*o. Let n(k) = 19855*k**2 + 2*k - 1. Give f(n(l)).\nAnswer: 8835475*l**2 + 890*l - 445","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.027513+16516\nAnswer: 16515.972487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*s**3 + 34*s - 34*s - 5*s**3.\nAnswer: -7*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -154, -169, -210, -289, -418?\nAnswer: -609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7\/24 - -697\/168. What is the common denominator of (-2)\/(-4)*390\/105 and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 5) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 56*h**2 + 55*h - 3. Give a(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -360 - -360. Let v(w) = 40*w + 1566. What are the prime factors of v(t)?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*q + 23 - 9 - 14.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in twenty-nine halves of a kilogram?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 + 233202?\nAnswer: 233113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 755403.7 millilitres to litres.\nAnswer: 755.4037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a meter in centimeters?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 12*n**2 + 2*n - 4. Let x be l(1). What is the second derivative of -20*k + x*k + 64*k**4 - 21*k wrt k?\nAnswer: 768*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 times 0.108086\nAnswer: 0.108086","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, i: 7, h: 2, d: 2}. Give prob of picking 1 b, 2 i, and 1 d.\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 12 and 1668?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 5740878?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 27 + (-29 - -17 - 39) - 0.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*r - 36*r + 58*r.\nAnswer: 15*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 8. Suppose -2005*w = -1990*w + 90. What is s(w)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14 + 12. List the prime factors of (5 + -3)\/x - -7.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 714 minutes before 1:43 PM?\nAnswer: 1:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 209 + -6805?\nAnswer: -65a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/5*1*-55*1. Suppose 78222 - 13828 = u*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16.1 - -16. Let m = -5418 - -5418.076. Which is smaller: y or m?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = 63*o. Solve -32*b + 31*b + i + 5 = 0, 3*b - 5*i - 23 = o for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**2 - 18*x + 19. Let i be j(-17). Suppose -5*o + o + i = 0. Let z = 11 - o. Solve -2 - 2 = -z*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 26.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -70, -3, 0.\nAnswer: -70, -3, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -4*y**3 + 64*y**2 + 127*y - 3012. What is k(15)?\nAnswer: -207","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 18\/27 - 20\/(-6). Suppose 4*v + 66 = n*h + 14, 0 = -3*h - 3*v + 63. Is h a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**3 + 4*m**2 + 3*m + 1. Let x be g(-1). Suppose -7960 = -2*i + 4*c, x*c = i - 3*i + 7925. What is i rounded to the nearest one thousand?\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 1015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1184e - -5?\nAnswer: -11849","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 - 62b45?\nAnswer: -62b46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 10736?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1 + -7. Let k be ((-9)\/g)\/((-1)\/(-12)). What is the greatest common divisor of k and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 22*q**3 - 93 - q + 38 - 24*q**2 to the form j*q**2 + i*q + p + n*q**3 and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 104901970?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2126 + 123. Does 11 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1588139 and 0.3.\nAnswer: 476441.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*166\nAnswer: -132.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 6*z - 10. Let d be o(4). Let m(s) = -s**3 - s**2 + 2*s + 2. Let g be m(d). Suppose 0*j = g*j - 72. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 not equal to 4\/1896767?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1767 divide 2568974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 115 and 460.\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 - 4*s + 2. Let z(r) = 2*r**2 + 14*r - 7. Let m(n) = -7*u(n) - 2*z(n). Let t(o) = 1009*o. Determine t(m(v)).\nAnswer: 3027*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ededdtetd. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16569\/(-29456)*(-640)\/(-15).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 1, -6\/61, 2\/7, -5, 0.06 in increasing order.\nAnswer: -5, -0.2, -6\/61, 0.06, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7*y + 18*y - 2*y + 1629*y**3 - 8*y + 0*y in the form r*y**3 + a*y + h + l*y**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (12\/9)\/(20\/150) is divided by 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/2696 and -3.\nAnswer: 2696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0066 or 21824?\nAnswer: -0.0066","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -590 = 10*c + 255*g - 251*g, 0 = 2*c + 2*g + 124 for c.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.9687889 hours?\nAnswer: 3487640.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(-1) - (-24 + 8). Suppose -g - 4*g - x = 0, 3*d + 5*g - 3 = 0. Let i = -2 - -8. What is the greatest common divisor of i and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, -1, 3, 4 in ascending order.\nAnswer: -1, -0.2, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4349 to the power of 1\/2, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4727.7? (a) 25 (b) -0.1 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5542334 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.12874 - 1288606.\nAnswer: -1288606.12874","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 19.3 and 0.285.\nAnswer: 5.5005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*-0.314.\nAnswer: -1.57","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(60) - sqrt(420)\/sqrt(7)) - (sqrt(600)*-4)\/sqrt(10))\/((-4*sqrt(72)\/sqrt(6) - sqrt(12)) + (sqrt(432)*-3 - sqrt(432))).\nAnswer: -4*sqrt(5)\/29","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1385338 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 81130 - 138530. Round t to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 2*w + 18. Suppose 96 = -243*k + 259*k. Solve 12 = k*a - w*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -66ca703 + 2?\nAnswer: -66ca701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 181813789765.77.\nAnswer: -181813789766.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 70 greater than -2\/8785?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.02 (b) 1\/4 (c) -18886 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**5\/g**1 assuming g is positive.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 1040*c + 10417. Give w(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 1004, 1003, 1002, 1001?\n\"Answer: -c + 1005","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gd when two letters picked without replacement from jagtd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of -i**2 + 1\/24*i**6 + 0 + 0*i**3 + i**4 + 1\/20*i**5 + 14*i. What is the second derivative of d(q) wrt q?\nAnswer: 30*q + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38*u - 38*u - 35*u**2)*(-u + u**3 + u).\nAnswer: -35*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -644.9 + 639.2. Which is the second biggest value? (a) -4 (b) s (c) -2\/5 (d) 2 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 7 in 153, -2\/3, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 2*a - 28 = 0, 8*q + 3*a - 37 = 3*q. Let b be 0\/2 - (1 - q). Suppose -8 = -2*x - 2*r, -b*x + r = -4 - 17. What is the units digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -3*i**2 + 7 - i + 4*i**2 + 4*i. What is the units digit of k(-5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89184975 to the power of 1\/2, to the nearest integer?\nAnswer: 9444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) be the second derivative of 0*m**2 + 0 + 1\/2*m**3 - 1\/6*m**4 - m. Find the second derivative of g(d) wrt d.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -960, 1, 4, 0, 5 in descending order.\nAnswer: 5, 4, 1, 0, -2, -960","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 21 = -6. Put y, 1, 4 in increasing order.\nAnswer: 1, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 72 and -10?\nAnswer: -720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0\/(-2 - (-16 - -2)). Is -39\/1226 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {j: 2, z: 4, c: 1, g: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 15685216307 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344487 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 0 = -4*k - 5*m, -4*m = 12. Let g = 1\/13921 - -41761\/27842. Factor 0 + 1\/2*f**k + 0*f - g*f**3 + f**2.\nAnswer: f**2*(f - 2)*(f - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -3*d - 25, 4*p + d + 17 = 88. Suppose -q + 10 = s, -6*s = -s + 2*q - 50. Suppose -7*r + s + 18 = 0. Put r, -5, -2, p in increasing order.\nAnswer: -5, -2, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(243) + 1 - sqrt(243)) + 5 + sqrt(243) + 2 + sqrt(243) + -2*sqrt(243) + sqrt(243))*2)**2.\nAnswer: 576*sqrt(3) + 1228","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -175 - 644 = 91*c for c.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -1, -3*a = l + a - 158. Suppose -3*x = -165 - l. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1.9 and 1076?\nAnswer: 1074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 580 and 26743887?\nAnswer: 534877740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16606016 divided by 2.\nAnswer: 8303008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 204886229 to the power of 1\/3, to the nearest integer?\nAnswer: 590","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 78\/273 - (-208)\/7 and 40?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*(sqrt(84) + (-2*sqrt(84) - sqrt(84)))*-3)\/(sqrt(132)\/(3*sqrt(11)) - (sqrt(12) + (1*sqrt(12) - sqrt(12))*1)).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/1222 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -10*y**3 + 3*y**2 + 5*y + 3. What is the tens digit of p(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1227.43327 rounded to the nearest ten?\nAnswer: -1230","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 >= -4838\/3471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 0, -0.2, -72, 1 in ascending order.\nAnswer: -72, -3\/7, -0.2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 954, 1946, 2938?\nAnswer: 3930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (138\/(-9))\/(16\/(-24)).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -801 and 6727.\nAnswer: -5388327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 820*s**3 + 0 + 823*s**3.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2105 + 10?\nAnswer: -2055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + (-18)\/(-4))*(45 + -5). Let y = -21 + 45. Let h = a + y. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -j**2 - j - 1. Let y(v) = -5*v**2 + 9*v + 7. Let m(a) = 2*c(a) - y(a). Let o(q) be the first derivative of m(q). What is the tens digit of o(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 divided by 127841.\nAnswer: -17\/127841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 169808028517 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y + 25*y - 5340 = 0. Let x = 2278 - y. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -15*q - 24. Let k be s(-17). What is the greatest common divisor of k and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, 1, 3, -2\/23?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u\/u**1)*u\/u**(-2\/23))\/(u*u\/u**(-2\/15)*u*u*((u**(-2\/33)*u)\/u)\/u) assuming u is positive.\nAnswer: u**(18\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8 - 8. Suppose k = -5*v + 92 + 58. What is the remainder when 59 is divided by v?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-448)\/(-21)*6\/4. Suppose 4*j = 4*s - 3 + 11, -k = -j - 5*s. What is the remainder when j is divided by (-2)\/(-9)*3 + (-68)\/(-51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165160512 and 7920.\nAnswer: 825802560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u + 1 + 0*u - 6*u)*(-2*u**2 - 196*u + 196*u).\nAnswer: 4*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 20, -2*l + 5*b = -l - 25. Suppose 4*z + q - 765 = l, 3*z - 2*q - 404 = 167. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the first derivative of x**7\/490 + 3*x**6\/280 + 3*x**5\/140 + x**4\/56 + 3*x**2 - 3. Let f(j) be the second derivative of g(j). Factor f(q).\nAnswer: 3*q*(q + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 483*j**2 + 15*j + 8. Let b be o(-8). What is b rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.48136013 rounded to 4 decimal places?\nAnswer: 0.4814","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -23, -67, -111?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 5811. Suppose 12*u = 35952 - 1824. Let s = u - c. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 169973381 is divided by 2521.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 3, l: 5, o: 1, h: 5, t: 4}. What is prob of sequence ol?\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(2\/9)\/u)**(5\/7)*(u**(-1))**(-13)*(u\/(u*u\/u**(-8)))\/((u**(2\/7)*u)\/u)*(u*u**8)\/((u\/(u\/(u*(((u\/(u*u**2*u))\/u)\/u)\/u)))\/u*u) assuming u is positive.\nAnswer: u**(1126\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/60 - 23*b**4\/24 - 47*b**3\/2 - 497*b**2 - b. Determine g(28).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -609778785*z**2 + 8314434 wrt z.\nAnswer: -1219557570*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 - q**2 + q - 1. Let g(u) be the first derivative of 7*u**4\/4 + u**2 + u + 1577. Determine -g(a) + 2*n(a).\nAnswer: -9*a**3 - 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 186342.00528 - 186288. Let m = -54 + i. Round m to three dps.\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (4 + (-60)\/8)*-10. Suppose -4*h = m - 183. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 4*g = 0. Let f be (1 - g)\/(-3 + 2). Is f\/(-3)*(156 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4787 + -2253. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 8*f**2 + 12*f - 9. Let i be p(-7). Let w = -44 - i. Suppose 2\/11*g**2 + w*g + 0 + 4\/11*g**4 + 6\/11*g**3 = 0. What is g?\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361665990 divided by 72333198?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 - 2*o**2 - 2*o - 2. Suppose 0 = 6*i - 0*i - 18. What is h(i)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 + 6*a**2 - 6*a + 7. Let n be z(5). Suppose 3*m = n*d - 13, m = -5*d + 5*m + 15. Put 5, 4, d in decreasing order.\nAnswer: 5, 4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*-2*sqrt(165) + sqrt(165) - sqrt(165))\/((sqrt(108)\/sqrt(4))\/sqrt(9)))\/(2*(sqrt(99) - (sqrt(99)*1 + sqrt(99)))*-3).\nAnswer: 2*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x = -3*b - 3, 3*b - 5*x = 7*b + 22 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = 9 + 3. Let u be 15\/(-4)*(-64)\/x. What is the highest common divisor of 100 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-299*q + 31718 - 31718)*(q + 7*q - q)*(-3 - 2*q + 3).\nAnswer: 4186*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.03, 0.08, -0.5, 3\/5 in descending order.\nAnswer: 3\/5, 0.08, 0.03, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 281883 + 7*k - 281883.\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1706256 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -100, -107, -112, -115, -116, -115, -112?\n\"Answer: g**2 - 10*g - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the second derivative of -r**5\/70 - 2*r**4\/21 - 5*r**3\/21 - 2*r**2\/7 - 5*r. Let d(c) = 0. What is c?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 o when two letters picked without replacement from olhomozowhlllomowm?\nAnswer: 8\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 33 + (11 - 5) + -3?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*n**3 - j**3*n**2 + 242953*j**3*n - 2*j**2*n**2 + j**2*n - 472*j + 4*n**3 + 2*n wrt j?\nAnswer: -12*n**3 - 6*n**2 + 1457718*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1531*s + 341*s + 314*s - 2476*s in the form o*s + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.468 - -1.5. Let m = 0.017 + h. Round m to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - 6. Let a be (j\/(-2))\/((-3)\/(-6)). Let q = 7 + a. Calculate the highest common divisor of q and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4052.\nAnswer: 2, 1013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 4*y - 12 = 0, -3*u = 7*y - 2*y + 13. Let z be u*8\/4 + -16. Let t = z - -29. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 141 = -2*w + 13, 4*w = -4*l + 212. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 18.8 + -19. Which is the second smallest value? (a) l (b) 0.4 (c) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -5, -12, 0.09, -0.3 in ascending order.\nAnswer: -12, -5, -2, -0.3, 0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1890 + 2059. What is the remainder when 6419 is divided by v?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 5, -0.964, -1\/8, -0.2?\nAnswer: -0.964","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 + r**2. Let f be h(-1). Let 0 + 0*w + 0*w**3 - 1\/2*w**4 + f*w**2 - 7\/4*w**5 = 0. Calculate w.\nAnswer: -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348367 is divided by 12441.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 12:32 AM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -98, -191, -280, -365, -446, -523, -596?\nAnswer: -665","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence usys when four letters picked without replacement from suusvsvsvsvssvyslvsv.\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -35824014 - -5?\nAnswer: -35824009","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mx when two letters picked without replacement from {m: 4, y: 11, x: 1, u: 3}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 12*g + 29. Let n be a(8). Let j be 4 + n + 36304 - 5. Round j to the nearest 1000.\nAnswer: 36000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 1115*g - 295. Does 53 divide k(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 171, -4, 93, 1, -3, -5 in decreasing order.\nAnswer: 171, 93, 1, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**3 + 26*q**2 - 3*q + 81. Let l be k(26). Solve -2*z + 10 = -l*a, 5*z + 3*a + 8 = 6*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -4*b + 2*b + 37, 5*n + 1452 + 1496 = b + 2917 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -116? (a) -14 (b) 1919 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.6 and 0.091?\nAnswer: -0.0546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t = t - 5*c + 30, 4*c - 7*c + 60 = -16*t - 8*c for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3094 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 + 1 + 0 - 3 + 2*p. Suppose -n + 6*n = 10. Let x be v(n). Solve -2*w = -x*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-2))\/(29\/(-58)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 - -3. Let m be (a\/3 - -3) + -1. Let y = -1 - -1. What is the closest to y in m, 2\/5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 498 and 0.308.\nAnswer: 153.384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.19 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12319 - -32132. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 6 = -s. Let y be (1 + 2)\/(4 - 3). Let h be ((-2)\/(-3))\/((-2)\/y). Sort s, h, -3 in ascending order.\nAnswer: -3, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1538672 - -10.7.\nAnswer: 10.8538672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -44*o**2 + 3*o - 8. Determine u(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/185707242 and -131\/914814.\nAnswer: 185707242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 16830 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59215 - -124733?\nAnswer: 183948","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-12)*(-75)\/(-50)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.07 or 3\/10?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 10. Let b be d\/11 - (-31)\/(-11). Is 859*-3*1\/b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 163954777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12597 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 2, 1, 73, -7, -1 in descending order.\nAnswer: 73, 2, 1, -1, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 8000*f - 8035. Determine c(1).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 712.8414 months in centuries?\nAnswer: 0.5940345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 46947?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34156377.\nAnswer: 3, 1265051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -7*k. Let m(q) = 14*q + 1. Let v(f) = -7*l(f) - 3*m(f). Give v(2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*g = 8*g + 2552660, -d - 2*g - 850890 = 0. Round d to the nearest one hundred thousand.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 2*r + 31 = 0, -3*l + 15*r - 11*r - 29 = 0. Which is the second biggest value? (a) 41 (b) -2\/3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u, 1 l, and 1 b when four letters picked without replacement from {c: 1, u: 2, y: 2, j: 1, b: 1, l: 1}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 d when two letters picked without replacement from {d: 13, o: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 36 and 5488068.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 195685379.\nAnswer: 101, 811, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/6 of a week in minutes?\nAnswer: 11760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 22 and 57486.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 2*l + 0)*(-180*l + 101*l + 2658*l + 4405*l - 371*l).\nAnswer: 13226*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -20c - -2b?\nAnswer: -1c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57902 in 2\/9, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.247705 days in nanoseconds?\nAnswer: 280601712000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -4*r + 397, -r + f = -3*f - 112. Is r a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -1\/6 (b) 3\/7 (c) 4 (d) 0.32 (e) -3\/5 (f) -19\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32862 is divided by 31044.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 394 - 106*n**2 - 394.\nAnswer: -106*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7*i - 5*l - 23 = 0, 2*l + 14 = 4*i. Let j be (i + 2 + 0)*1. Suppose 4*n + 16 = j*v, 7*v = 3*v + 4. Sort 5, -2, n.\nAnswer: n, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 50870 is divided by 122?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 821779.\nAnswer: 7, 31, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 18852861731 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*f**3 - 2*f**3 + f**3 + (-f - f + 3*f)*(0*f**2 - 5*f**2 + 2*f**2).\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-84)\/(-63))\/((-22)\/63)*29425\/(-1605)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6 * -0.0218643.\nAnswer: -0.1311858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, 4, -67 in ascending order.\nAnswer: -67, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*b + 4*b - 3*b)*(-11177 - 1468 - 3978 - 103).\nAnswer: 50178*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -42 + 45. Suppose 2*v - 9 = -4*k + 5, 0 = -j*k - 3*v + 18. Differentiate -k + 2 + 1 + 18 + n wrt n.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 t when four letters picked without replacement from {t: 2, k: 10}.\nAnswer: 16\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*g = 71160, 29*p - 28464 = 27*p + g. Is p a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3663 (base 14) in base 11?\nAnswer: 7152","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 84437364 to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 456\/266 + (-2)\/(-7). Solve -f = -3*c - 12, 5*c + d*f = -2 - 29 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 - 1 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -62552*i*l**3 + 36979*i*l**2 - l**3 wrt l?\nAnswer: -375312*i - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gccgcgcc. What is prob of sequence cccc?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -34039449 rounded to the nearest 1000?\nAnswer: -34039000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 410, 353, 304, 251, 182, 85?\n\"Answer: -2*m**3 + 16*m**2 - 91*m + 487","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64467 and 5588793?\nAnswer: 4959","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rvv when three letters picked without replacement from {r: 2, v: 10}.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1057642541 to the power of 1\/5, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-21))\/((-1176)\/(-12348))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -610253379*g**3 + 141844437*g**2 wrt g?\nAnswer: -3661520274","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/75224 + -98159\/1725262440. Let i = -1154389\/137610 + m. Calculate the common denominator of 85\/12 and i.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y + 2*m + 30, -967*y = -962*y + 8*m + 87 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = q**3 - 6*q**2 + 6*q + 4. Let a(y) = 2*y - 13. Let m be a(9). Determine l(m).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b + 4*g = -8, 10 - 1 = -3*g for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1762200235.\nAnswer: 5, 383, 920209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59834 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10046784 is divided by 3753.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.4 + -2.391. Let h = -0.209 + z. What is the second biggest value in 0.4, 4, -5, h?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**0\/(z*(z*z\/(z\/z**(1\/3)))\/z))\/((z*z**4)\/(z*(z**7\/z)\/z)) assuming z is positive.\nAnswer: z**(-1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 368 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4296 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4223? (a) -0.4 (b) 0.3 (c) -63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*v - 59*v + 86*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/2*u**4 + 7\/2*u + 5\/2*u**2 - 7\/2*u**3 - 3.\nAnswer: (u - 6)*(u - 1)**2*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (287\/2255*11)\/1?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2030002112322 - -2?\nAnswer: -2030002112320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 9:14 AM?\nAnswer: 3:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*p - 5*p - 3*p)*(17 + p - 17 + 3*p**3).\nAnswer: -45*p**4 - 15*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 600 is divided by 51.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(5 + -4*(sqrt(98)*-1 + 1 + (sqrt(98) - 1*3*sqrt(98))))*2)**2.\nAnswer: 10752*sqrt(2) + 903232","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 97848 and 237372?\nAnswer: 12818088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d*f**3*h**2*v + 180*d*f**3 + d*f**2*h**3*v - d*h**3*v - 2*d*h**2*v - f**3*h**3 + 193*f**2*h wrt f?\nAnswer: 12*d*h**2*v + 1080*d - 6*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -286100 rounded to the nearest one hundred thousand?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*c**4 - 102*c**3 + 1548*c**2 - 7280*c = 0. What is c?\nAnswer: 0, 10, 13, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 4. Let t = 97 - 56. Let l = -2 + t. Calculate the remainder when l is divided by p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1029790 (base 10) in base 7?\nAnswer: -11516206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -315, -2519, -8493, -20121, -39287?\n\"Answer: -314*g**3 - g**2 - 3*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84*r + 4*x + 11 = 83*r, 2*r + 2*x + 10 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(1 - 20\/18). Let j be 133\/3 - 6\/n. What is the tens digit of (j\/6)\/((-9)\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -5*s + 3 + 1 - 5 + s**2 + 7. Let h be w(5). Let v = 9 + h. Which is the smallest value? (a) -2\/11 (b) v (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-140)\/(-770))\/((-3248)\/(-29029)).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -1\/25*b**5 + 274*b - 32\/5*b**2 + 1\/75*b**6 + 0 + 8\/3*b**3 - 2\/5*b**4. What is t in s(t) = 0?\nAnswer: -4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -63. Let b be d\/4 + (-1)\/(-4). List the prime factors of 0\/3 - b*-2.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9\/8 - -43\/24. Which is the third smallest value? (a) -1\/7 (b) x (c) 5 (d) 0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, 14227, -9, -19, 2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3 + 0)*(f - 5*f + 3*f + (6 - 3 - 4)*(-f + 3*f + 0*f)).\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j and 1 f when four letters picked without replacement from jffjyyjjp.\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 4*k = -30210. What is the third derivative of -30*c**6 - k*c + 6042*c + 15*c**2 wrt c?\nAnswer: -3600*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 37*i**2 + 63*i - 21. Let l be v(36). Let d = l + -566. Is d a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, 4, 5 in descending order.\nAnswer: 5, 4, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45447 = -5*k + 2*k. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 7\/946 (c) 2 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 1. Suppose -t*i + 262 + 12 = 0. Suppose i = 5*k - 4*j, 3*j = 3*k - 0*k - 84. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-15)\/6 - (-2967)\/(-138))\/((-45)\/(-90))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3231 is divided by 34.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, u: 2, y: 1, e: 1, m: 1, p: 1}. What is prob of picking 1 y and 1 p?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 741\/198 + (-6)\/(-9) and -85\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) be the first derivative of 9*i**2 - 18*i - 46. Let o be v(2). Calculate the greatest common divisor of o and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -13\/6 and -51\/10286308.\nAnswer: 30858924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:19 AM and 10:36 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 10 + 5*g + 15 - 8.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 25, 64*o - 63*o + 20 = -3*y for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 64 = -58. Calculate the remainder when 63 is divided by o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366\/(-42) - -9 - 1612\/3094?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21121 - 110?\nAnswer: 21011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 408*r**2 + 405*r**2 - 815*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5\/((-60)\/(-9)))\/(((-1119348)\/(-272))\/59)\nAnswer: 1\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - z = -21, 2798622*z = 2*d + 2798627*z - 17 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -14. What is the tens digit of h - 5\/((-15)\/36)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4 - 2. Let u be (6\/4)\/((-3)\/(-4)). Calculate the greatest common divisor of u and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-19)\/(-4))\/(1 + (-9)\/12). Let l = 15 - b. Sort l, 1, 5, -14 in descending order.\nAnswer: 5, 1, l, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 5*s - 27, 5*f - 2*s - 5 = 3*s. Suppose -v + 23 + 14 = 4*x, -3*x + 34 = 2*v. Suppose -x - f = -3*r. Solve -2*k = 0, -2*d = -r*d + 3*k + 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3) + (-149575)\/(-93). Let w = q + -1088. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 2)\/(-6) + 110\/33. Let m be ((s + -5)\/1)\/(-2 - -1). Suppose -4 - m = -2*j. Solve v = -j*v - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 + -9. Suppose -d = -5*y - 0*d + 9, -3 = -u*y + 3*d. Solve h = -y*h - 15 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -124276626 divided by -41425542?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 153\/1233667?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -71, -347, -1123, -2651, -5183, -8971?\n\"Answer: -42*j**3 + 2*j**2 + 12*j - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 3608392*(-10)\/20 + (-8)\/2. Round f to the nearest 10000.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 28 = 22, 3*i + 3*k = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -6*q + 68. Determine l(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*l + 695 + 1870 = 201 - 258 for l.\nAnswer: -114","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*n - 486 = 101*n for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 140 - 144. Is (-1658365)\/58*v\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.26 and -988731.\nAnswer: -257070.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 52405105 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43088136.\nAnswer: 2, 3, 7, 13, 109, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*j - 3*j = 4*p + 44, 0 = p + 4. Find the second derivative of -2*s + j*s + 5*s - 4*s - 4*s**5 wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 86*w - 24. Let x(j) = -17*j + 5. Calculate 3*l(h) + 14*x(h).\nAnswer: 20*h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -4 - -3. Does 16 divide (11 + -10)\/(a\/(-53))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence juuj when four letters picked without replacement from {u: 6, j: 6}?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 = 3*o + 3*x, 3*o + 4*x - 63 = -x. Solve -j - 23 = 2*s + 4*j, -s + 5*j = -o for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 831 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 14\/8 - (-1)\/4. Suppose p*z - 14 = 2. Calculate the lowest common multiple of z and 2 + 18 + 0\/1.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 7*x - 6. Let b(h) = 8*h - 5. Let l(p) = -2*b(p) + 3*j(p). List the prime factors of l(6).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23 + -58. Let l = 165 - a. Suppose -2*z = -4*z + 50. What is the highest common factor of z and l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2168 - -3402. List the prime factors of f.\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 312 != -99?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18688280*k**2 - 6229437*k**2 - 6229429*k**2 - 6229427*k**2.\nAnswer: -13*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -206, -345, -482, -617, -750, -881?\nAnswer: -1010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/8035 and -55\/147844.\nAnswer: 739220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 158 and 206743.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 3*o = 27, -2*o + 10 = 4*v - 20. Solve 5*r + 10 = -i + v*i, 16 = -4*r for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -17804, -18032, -18654, -19868, -21872, -24864?\n\"Answer: -33*l**3 + l**2 - 17772","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v - 5. Let s be w(9). Suppose s*d = 12, 4*h - 5*h = -4*d - 23. Suppose 5*i - h = -0*i. Is 2 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f**3 + f - 1. Let r be n(1). Suppose p - r = -2. Determine z so that -2\/7*z**4 - 2\/7*z**p + 0*z**2 + 0 + 0*z = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -12*a**2 - 19*a + 651. Let r(k) = k**2 + k - 2. Let l(h) = 6*r(h) + w(h). Find the first derivative of l(x) wrt x.\nAnswer: -12*x - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.054534*-11.96\nAnswer: 0.65222664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1747*c**3 + 5319*c**3 - 3799*c**3.\nAnswer: 3267*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/u**(-2\/3))*u**1)\/(u**(3\/11)*u\/u**(4\/13)))**38)**3 assuming u is positive.\nAnswer: u**(-10298\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = -z + 12, 4*z - h + 7 = -0*h. Let n = 0 - z. Find the third derivative of k**5 - 5*k**2 + k**5 + n*k**2 wrt k.\nAnswer: 120*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10 - 151*o**2 + 3 + 82*o**2 + 44*o**2 - 10*o + 59*o**2 as s*o + h*o**2 + l and give l.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -2*x + 175. Let j = x + -76. Suppose z - 3*z = -j. Is 24 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 310 = 27*s + 74 - 34. Solve 4*j - 4 = -3*y - 22, -4*j + y = s for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 127 = 69. What is the common denominator of 26\/33 and g\/21*29\/24?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaatttataaaatatatit. Give prob of picking 2 t.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -16 + 3. Let z = 29 + p. Solve -y + 5*t + 23 = y, 3*t = -y - z for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 13\/282473?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41085 and 88200.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*g - 10. Suppose -2*r - 2*v + g = 0, 0*r = -3*r + v + 1. What are the prime factors of 6\/9*(17 + r)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 7 - 5*v + 1 - 5*v**2 + 2*v**3 - 3. Let n be j(5). Let o = n - 68. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**4 + 15*t**3 - 9*t**2 - 27*t.\nAnswer: -3*t*(t - 3)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-1 + -4 + 14).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**3 - 26*n**2 + 76*n - 10. Calculate o(4).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*q**3*w**4 + 9*q**3 - q**2*w**2 - 4*w - 2 wrt w.\nAnswer: 48*q**3*w**2 - 2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 2*d + 3 = 0, -1 = -5*n + 2*d - 10. Let v be n\/(((-6)\/9)\/(-2)). Which is the third biggest value? (a) 6 (b) 2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 divided by -7648.\nAnswer: -5\/3824","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeepefpemelefe. Give prob of picking 2 e.\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ffrv when four letters picked without replacement from {v: 1, f: 5, r: 1, e: 4}.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 19. Let s(c) = -3*c**3 + 3*c**2 + c - 2. Let v be s(y). Calculate the highest common divisor of 4 and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84951577 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 336 divided by -56?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 22 - (10 + 1) - 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 4*t = 44, 3*t + 20 = 7*t. Suppose 213 = 12*v - 1695. Suppose -v = -h*l + 375. What is the remainder when l is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 228*f**2 - 1014*f.\nAnswer: 456","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 13*r + 5. Let o be y(13). Suppose -13 = -2*k - 3. Find the second derivative of 5*z**o - 5*z**k - 2*z**5 + z wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -98 = 4*v - 102. Find the second derivative of v + 47*n**2 - 88*n - 1 + 36*n wrt n.\nAnswer: 94","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -2*h - 6. Let t be g(-4). Let y(d) = -4*d**2 + 2*d**2 - t*d**2 + d**2. Let s(x) = -x**2. What is s(y(u))?\nAnswer: -9*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18\/(-27)*1*-159. Put 4, -4, 0.5, c in ascending order.\nAnswer: -4, 0.5, 4, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 905.181g in tonnes?\nAnswer: 0.000905181","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**4 + 3*a**3 - 15*a**2 + 11082*a - 1 - a**4 - a**3 - 11086*a to the form k + t*a**2 + v*a**4 + y*a + r*a**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7154.39 - 7253. Let x = 76.606 + g. Let y = 22 + x. What is y rounded to 3 decimal places?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2101121 + 22221010110?\nAnswer: 22211201212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -93633730 rounded to the nearest 10000?\nAnswer: -93630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 7, g: 1, l: 1, z: 4}. Give prob of picking 3 s.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**2 - 6*r - r**3 - r**2 - 2 - r**3 + 4 in the form h + c*r**3 + w*r**2 + a*r and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 342 - 31118\/91. Let y = v + 22\/91. Which is the second biggest value? (a) y (b) -1\/5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 3214.891 and 0.171314.\nAnswer: 3215.062314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 135 = 3*f, -f - 77 + 2 = -2*b. Calculate the common denominator of (-1)\/(-2) - 118\/14 and b\/120*206\/(-12).\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3.82 + 3.92. Which is bigger: 51\/5 or x?\nAnswer: 51\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7662866901 - 1.5.\nAnswer: -7662866902.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 282262.\nAnswer: 2, 141131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3823d0 (base 15) in base 14?\nAnswer: -500841","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 842606*d**3 + 246874 with respect to d.\nAnswer: 2527818*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 570735079 to the power of 1\/3, to the nearest integer?\nAnswer: 829","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -3*f**2 - f - 1. Let l(g) = g**3 - 1. Calculate l(m) - r(m).\nAnswer: m**3 + 3*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-24)*160\/(-48)?\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -83*u + 6 - 2 - 4.\nAnswer: -83*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(((sqrt(1331) + 0)*4)**2 - (1 + sqrt(11)*2)*-6).\nAnswer: -106510 - 60*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 + -46. Sort -2\/13, -0.4, d, -3\/7 in decreasing order.\nAnswer: -2\/13, -0.4, -3\/7, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.03 in 0.3, -93, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (24\/16)\/(21\/98)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 15\/2, 1\/5, -66.794?\nAnswer: -66.794","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = 3*v. Let s(h) = h + 1. Let y(r) = -3*r - 2. Let g(q) = 2*s(q) + y(q). Let z(k) = -2*g(k) - p(k). Let m(n) = 10*n. What is m(z(f))?\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**10*l)\/(l*l**(-8)*l))**(2\/19) assuming l is positive.\nAnswer: l**(36\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1515 - -10588\/7. Let t = s + 41\/14. Let z = -4.9 + 4.8. Which is the closest to z? (a) t (b) -4\/5 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 + 8*w**2 + 8*w + 12. Let q be -57*1\/(-11) + 58\/(-319). Let f be -1*(12\/15 - (-31)\/q). Give l(f).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 4, y: 1, j: 8, m: 1, d: 1}. What is prob of sequence zzj?\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 12*v**2 + 7*v - 170. Calculate t(-9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -4*h. Let m(y) be the second derivative of -y**6\/24 - 53*y**4\/12 + 13*y + 2. Let p(u) be the third derivative of m(u). What is f(p(q))?\nAnswer: 120*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1538, -1914, -2290, -2666?\nAnswer: -3042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -ac7 (base 13) to base 9\nAnswer: -2478","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 5*q - 4. Let m be a(-1). Let h(l) = -l + 349. Let x be h(m). Suppose -1254 = -5*u + p, 4*u + x - 1356 = -3*p. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 + -193 + (-1 - -76 - (92 + -99))?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 1. Let o be (-5)\/(-20) + 18\/(-8). Let h be i(o). Solve -5*k = 4*s + 25, -k - h*s = 2*s + 5 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.61 + 2.8. Let u = -0.11 - j. Let n = -0.05 + -4.95. What is the smallest value in -2, u, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17.12 rounded to 1 decimal place?\nAnswer: -17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 4*g + 10 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -98904*l**3*o**2 - 5694*l**2 + 5*l*o**2 wrt l.\nAnswer: -593424*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 270287481 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 3*r**2 - 2. Let b(x) = -x**3 - 8*x**2 + 6. Give -3*b(z) - 8*y(z).\nAnswer: 3*z**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00007038017 rounded to 7 decimal places?\nAnswer: -0.0000704","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -764, -1543, -2342, -3173, -4048, -4979, -5978?\nAnswer: -7057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of -u**6\/5 + 86*u**3\/3 + 12*u**2. Differentiate o(x) wrt x.\nAnswer: -72*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 766, -4, -9, 2\/11, -1?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*u - 131*u = 8 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2424 + -1325. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.01 - 2. Let g = -0.032 + -0.058. Let x = g - v. What is the smallest value in -0.3, -4, x?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -3, -2\/9, 0 in increasing order.\nAnswer: -3, -2\/9, 0, 70","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -512 - 24872?\nAnswer: -25384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -8*k**2 - 4 - 1854*k + 1854*k - k**3. What is d(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/122608 and -71\/13968.\nAnswer: 1103472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -294, -609, -924, -1239, -1554, -1869?\nAnswer: -2184","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.081 to 2 dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*a**2 - 2*a**2 - 2*a**2 - a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 22*r + 4. Let s(c) = 64*c + 11. Let u(a) = 11*k(a) - 4*s(a). Let y(t) = 8*t. Give u(y(x)).\nAnswer: -112*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60*a**2*x**3 + a**2*x**2 - 33575*a**2*x + 812*a*x**6 + 2*a*x wrt x.\nAnswer: 360*a**2 + 97440*a*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 4218095 - 365180\nAnswer: 3852915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 40 - 37 = -3*j, -t - 5*j = -3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 5*c = -3*q - 167, -2*c = -5*q + 470. Is q a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -5, -8, 2, 72 in increasing order.\nAnswer: -8, -5, 1, 2, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*t - 687 - 41 = -80. Let x(d) = 14*d**2 - 4*d + 6. Let q be x(6). Calculate the highest common factor of t and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -0.7\nAnswer: 17.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 23243171867 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/594*-11*3\/10?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 10898, 10909, 10920, 10931?\n\"Answer: 11*z + 10887","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 + 3*q**2 - 3*q**2)*(2*q**3 + 3*q**3 - 4*q**3) + 356*q - 12*q**5 - 356*q.\nAnswer: -11*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 11081 and -875.\nAnswer: -9695875","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 119719?\nAnswer: 19, 6301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 34*m - 2*f + 78, 0 = 4*m + f - 65 + 68 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -881.1 - -879.1. What is the closest to -1 in i, -3, 1\/8, 2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwrw when four letters picked without replacement from rwrrrrrrwrrrrrrrrww.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 228 and 324.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -3\/318576835?\nAnswer: -3\/318576835","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -500.2989 rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 + -0.2. Let j = -7\/8 - -17\/8. What is the nearest to 2 in j, 1\/3, g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2)\/x)**(-11\/3)\/((x*x*x*x\/x**(-1))\/x**(9\/5)) assuming x is positive.\nAnswer: x**(39\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/1288 at most -2\/77?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*x + 86956 + 11023 = 0. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 4*c - 17, -35 + 45 = 4*o - 2*c. Which is smaller: 38\/135 or o?\nAnswer: 38\/135","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -464958023 and -0.015401.\nAnswer: -464958023.015401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 21139417 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + (-75)\/(-25) + 155*1. Suppose o + o + 268 = 5*g, 2*o + 8 = 0. Calculate the highest common factor of w and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/15318 and -3\/13616?\nAnswer: 122544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.13 - 0.03. What is the closest to 3 in 0, v, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, 2.1, 3 in decreasing order.\nAnswer: 3, 2.1, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-27)\/6)\/3*-302 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6 + 14. Suppose q = 5*q - l. Suppose -q*y + 38 + 12 = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421879436?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + 3*u - 12 = 4*m, 2*m + 25*u - 21 = -10*u - 45 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:00 PM and 1:29 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 9 = 164*g - 165*g, 0 = g + 3*o - 12. Solve 2 = 4*j - u + g*u, -j + 3*u = -11 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 219 and 1095?\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55*c**2 + 118*c**2 - 56*c**2 + 2 + 3*c to g*c**2 + n*c + f and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -108, -126, -156, -204, -276, -378, -516, -696?\nAnswer: -924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 195492638?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 506923.969 + -506920.71899867. Let z = -2.15 - 1.1. Let r = t + z. What is r rounded to 7 dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -22010 - 2?\nAnswer: -22012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/12)\/(21 - 18)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19115087 greater than 19115087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 0*r**2 + 2 - 4*r**2 + 2*r**2 + 6*r. Let u be g(6). Let o(z) = 2*z. Let t be o(3). Solve -u*x + 4*x = 4*b + t, -9 = 5*x - 4*b for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20158.516 minus -16.25588?\nAnswer: -20142.26012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**2 + 7*u + 7. Let t(a) be the first derivative of -a**3\/3 + 2*a**2 + 91*a - 36. Let b be t(12). What is i(b)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -40 + 320. Is 10 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/97 at most 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1043212 (base 5) to base 13\nAnswer: 85a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -125\/8436 and 1\/1776?\nAnswer: 33744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.3505622s?\nAnswer: 350562.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 94 in -2, 0.2, 3\/13, 0.12, -1\/10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 109557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v = 4*v - 144. Let p = -9 + 31. What is the common denominator of (-14)\/(-4)*(-12)\/p and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4992\/(-130))\/(0 - (-3)\/(-10)). Suppose -42 = 126*t - q*t. List the prime factors of t.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0565 times 0.15844?\nAnswer: -0.00895186","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -296165134 divided by -2?\nAnswer: 148082567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 > -1224?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 912602 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 20572761 greater than or equal to 20572761?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*-4*3*(sqrt(133)*1 + sqrt(133)))\/(6*(sqrt(28) + sqrt(700))\/sqrt(4)*6).\nAnswer: 2*sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -45, 8, 5, -1 in increasing order.\nAnswer: -45, -3, -1, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -28048549.5 to the nearest one thousand.\nAnswer: -28049000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*b - 42 = -6, -3*a + b + 16 = 0. Suppose a = -4*n + 5*n. Find the second derivative of -n*m + 2*m**2 - 3*m**2 - 7*m**2 + 4*m**2 wrt m.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 841 and 12615.\nAnswer: 12615","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from {d: 7, a: 1, g: 1, r: 3}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 36 and 24336?\nAnswer: 24336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 878, 1754, 2626, 3494?\n\"Answer: -2*z**2 + 882*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y**3 + y**2 - 72*y - 37. Determine x(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 - -51. Let n = 10 + u. What is the nearest to n in 2\/7, 3, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) be the second derivative of -a**6\/180 - a**5\/40 - a**4\/12 - 2*a**3\/3 - 5*a. Let s(o) be the second derivative of d(o). Give s(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -17*a - 147*a + 1857*a. Is x(1) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5677*a**2*m*z - 3*a**2*m - 2*a**2 + 2*a*m - 164*a wrt z.\nAnswer: 5677*a**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*6\/72)\/((-2)\/16).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.07 - -4.93. Let f = x - 5.3. Let k(q) = 23*q**2 - 2810*q + 491. Let d be k(122). What is the biggest value in f, d, 0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 15*t + 19. Let z be r(-14). Suppose 5*c = -2*b + 3, -c - b = -z*c - 8. What is the nearest to -0.1 in c, -4, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q when two letters picked without replacement from yqzqyyqyyqqyy?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 3*a**3 - 395*a**2 - 120*a - 1582. Let z be k(132). Factor -v**3 + v + 1\/4*v**4 - 3\/4 + 1\/2*v**z.\nAnswer: (v - 3)*(v - 1)**2*(v + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10 + 1030?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 38805, 38796, 38767, 38718, 38649, 38560?\n\"Answer: -10*w**2 + 21*w + 38794","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -56*k**3 + 18*k - 19. What is c(1)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -604*t + 5416. Give m(9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 51*50.3.\nAnswer: 2565.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3 + 32085*v + 5*v**2 + 3 - 32835*v.\nAnswer: 5*v*(v - 150)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*q - 3*q - q)*(-2 - 3 + 1) + (1 - 4 + 1)*(-3*q - 1 + 1) + 0 + 2*q + 0.\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/5, -1345, -3\/4, 3, -1, -0.1, -17?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113507243 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k = -5*k - 4*d + 101, 0 = -5*d + 10. Let x = -27 + k. Solve -2*n + 10 = -x*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 g when three letters picked without replacement from gffgffgfgfgfffyygg.\nAnswer: 35\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/9 or -94048?\nAnswer: -94048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Are 1685 and 1765 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 446 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, i: 1, t: 2, s: 1, v: 2}. Give prob of sequence tvv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/80 of a milligram?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -25505.3 rounded to the nearest 1000?\nAnswer: -26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1177*f**2*x - 329*f**2 - 8976*f*x + 10*f - 2*x + 1 wrt f?\nAnswer: -2354*x - 658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8425160 to the nearest integer?\nAnswer: 2903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53664 plus 0?\nAnswer: 53664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**5)\/(y\/y**(-6)*y)*((y*y\/y**(2\/5))\/y)**(4\/15))**(-39) assuming y is positive.\nAnswer: y**(1794\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6 - 11*y - 5*y + 25*y)*(3 + 3 - 7) to the form c + l*y and give l.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*d + 429. Let a = -1 - 0. Is a*(-2 + d + 2) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7\/5? (a) 0.3 (b) -1744 (c) 2 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uj when two letters picked without replacement from jjjjjjjjujjjjjjjuj?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -104*o - 51*o + 379 + 2721. Suppose -5*r - 49 = -5*b - 169, 5*r + 3*b = 136. Let f = -18 + r. Calculate the remainder when o is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 + 2058 - 36\/18. Let k = -806 + c. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -97168816 + 32389610 + 32389597 + 32389609 + 8*y.\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53\/3 + -17. Suppose 8 = x - y + 2*y, -2*y - 8 = -x. Let r be 2\/(-4)*(x - 12). Which is the smallest value? (a) q (b) r (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**2 - 5*j - 2. Suppose 3*l = 2*l - 2. Let t be x(l). What is the third smallest value in t, -3, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-64)\/(-27 - -11) + -1*1. Let b(h) = 4*h - 1. Let n be b(2). Put t, -5, n in decreasing order.\nAnswer: n, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 275 is divided by 31?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 200 and 357760.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {x: 3, b: 12, m: 1}.\nAnswer: 11\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -427*d**2*j*q**2 - d**2*o**2*q**2 + 2*d**2*o*q**2 + 2*d**2*q - 4*d*j*o**2*q**2 + 146*o*q**2 + o*q with respect to j.\nAnswer: -427*d**2*q**2 - 4*d*o**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1532 * 434.2.\nAnswer: 66.51944","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence me when two letters picked without replacement from {f: 2, m: 3, l: 12, q: 1, e: 2}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 6*s**2 - 16*s. Let k be -1 + 15\/9*3. Let i(c) = -17*c**2 + 48*c + 1. Let v(b) = k*i(b) + 11*w(b). Let j be v(8). Solve 0*p = j*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 30935290733029?\nAnswer: -30935290733029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-five quarters of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 3089995*r**2 - 4*r + 1. Let q be ((-6)\/(-9))\/(16\/(-24)). Let i be k(q). What is i rounded to the nearest one hundred thousand?\nAnswer: 3100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of l**4\/12 + 2*l**3\/3 - 11*l**2 - 2335*l. Determine k(5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of -17*o**3\/6 - o. Let n(d) be the first derivative of -1\/2*d**2 + 0*d - 12. Calculate n(u(h)).\nAnswer: 17*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40 and 79\/28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -36\/119 and 58\/35.\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 33\/(-154) - 1\/(-2). Let n = -6 + 8. What is the closest to n in r, 4, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yy when two letters picked without replacement from {y: 3, i: 3, m: 9, e: 2}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 4. Let u be x(2). Sort 1, 27, u in increasing order.\nAnswer: 1, u, 27","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 6 = -d. Let n = -1 + 3. What is the third derivative of -h**4 - d*h - h**n + 2*h wrt h?\nAnswer: -24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pbjp when four letters picked without replacement from jpbbbbpjjjbjjjjjbj?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -651 - -1184. Let s = -37 + k. Which is bigger: s or 1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2756*k**2*w**3*y**2 - 8*k**2*y**2 - 2*k*w**3 + 22*k*w**2*y**2 + k - 6*w**3*y - 5*w**2*y wrt k?\nAnswer: 5512*w**3*y**2 - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -128.8494944082 + 21.2\nAnswer: -107.6494944082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 383099\/1740 - 2201\/10. Find the common denominator of m and 111\/580.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a decade?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -125 (base 7) to base 12\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -10*p - 308. Let f(j) = 3*j + 103. Calculate -7*f(t) - 2*k(t).\nAnswer: -t - 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (50\/18 + -3)\/(-1 + 0)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*n*z**2 + 15469128*n + 103333624*z**2 + 1 wrt n.\nAnswer: 3*z**2 + 15469128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 150035*q - 12567660 = 0 for q.\nAnswer: -29923, -84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/(595\/30))\/2.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -49*a**3 + 3*a**2 - 2*a - 3. Calculate m(-1).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5883518743 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 103387 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, a: 1, h: 2}. What is prob of picking 2 h and 1 m?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -12 - 3205501?\nAnswer: -3205513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 3*x. Let d(h) be the second derivative of -7*h**3\/3 + 15*h. Give d(b(o)).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 403 and 961.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*d**3\/2 + 507*d**2\/2 - 4653*d\/2 - 18603\/2 = 0. What is d?\nAnswer: -3, 13, 159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1112012 - 1102?\nAnswer: -1120121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.681846764 rounded to one dp?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3627 - 3612. Sort 0.4, -0.16, -4, -3\/7, f in decreasing order.\nAnswer: f, 0.4, -0.16, -3\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 - 4*g**2 - g - 4. Suppose 4*n + 8 = -4. Let b be (1 - n)\/1 - -1. Let o be m(b). What is the highest common factor of o and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2*l**2*o - a**2*l**2 + 5*a*l**3*o + 8*a*l**3 + 8*l**2 - 4*o wrt o.\nAnswer: a**2*l**2 + 5*a*l**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -250 + -133.91\nAnswer: -383.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.55 + 146.55. Let j = -145.001 + n. What is the third smallest value in j, 0, -0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6458 to the power of 1\/2, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*y = 45*y + 19 + 11. Let d(z) be the third derivative of 0 + 1\/2*z**4 + 0*z**3 - 22*z**y + 0*z + 1\/14*z**7 + 17\/40*z**6 + 4\/5*z**5. Factor d(v).\nAnswer: 3*v*(v + 1)*(v + 2)*(5*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11 + (26 - 13) - 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -4*z - 0*w + 33, 2*w + 6 = z. Let l = z - 4. Put 3, l, -2 in ascending order.\nAnswer: -2, 3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-3)\/(-4))\/((-12)\/(-352)) + -2. Let w(z) = -2*z**2 + 47*z - 126. Let s be w(l). Solve 3*n = 4*f + 18, 4*f = 2*n - 2 - s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 - -6.3. Let g be ((-27)\/(-12) - (-82)\/(-40))\/(-1). What is the nearest to g in -0.5, y, 1\/5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-28)\/(-2) + -2 - 1. Let d be (y - 3)*18\/8. Suppose 5*f - d = -3. List the prime factors of f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -93, -126, -193, -306, -477, -718?\nAnswer: -1041","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggbaggagggaslasaaaa. Give prob of picking 1 s and 1 l.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 4*u = 74, -4*u = 2*n - 3*u - 53. Suppose -2*y = -3*l + 25 + 2, 0 = 2*l + 3*y - 5. Calculate the remainder when n is divided by l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n + 2*n**2 + 2*n + (-1 - 1 + 3)*(5*n**2 + 2*n - 2*n) + 182 - 182 + 14*n**2 + (1 - 5 + 3)*(0 + 0 + n**2).\nAnswer: 20*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9001 + 8999. What is the third biggest value in b, 53.9, 0.4?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -d**3 + 404*d**2 + 293*d - 554200.\nAnswer: -3*d**2 + 808*d + 293","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-6)\/((-6)\/23) - (-2 - -4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of ((-3 - 8)*2)\/((-6)\/81)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3 and 1023.\nAnswer: 1023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**8\/v*v)\/v)**24 assuming v is positive.\nAnswer: v**168","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*x**2*y**2 + 50478*x**2*y + 143*x + 19*y**2 + 3*y - 6 wrt x?\nAnswer: -6*y**2 + 100956*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 0.4, -14939 in decreasing order.\nAnswer: 0.4, 0, -14939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -10*k**2. Let b(j) = 2*j + 767. What is d(b(v))?\nAnswer: -40*v**2 - 30680*v - 5882890","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387694683 rounded to two dps?\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3239*v**5 - 4*v**3 - 79650*v**2?\nAnswer: 194340*v**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 145 is divided by 137?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(208)\/sqrt(4))\/sqrt(4) + 5.\nAnswer: sqrt(13) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -3*l**3 + 4*l**2 + 5. Let s be h(5). Let g be 3\/s*-6*(-1)\/(-6). Let i = -61\/90 + g. What is the closest to -4 in 0, i, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 794*i + 66. Determine l(-1).\nAnswer: -728","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-6)\/9*(-174)\/4. Suppose 4*x - 3 = h. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**2\/2 - 11961*q + 12787416.\nAnswer: 3*(q - 6702)*(q - 1272)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130)\/sqrt(5) + sqrt(26))\/sqrt(2)*-2)**2.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/(-3))\/1*-3. Solve 0*p + 5 = -o*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1a6 + -4?\nAnswer: 1a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbbbbcbbbcabb. What is prob of sequence ab?\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/5, 0.5, -7, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = s + 2*c + 7, 4*s + c = -14. Let d be 2775\/(-666)*(-9)\/300. Sort -0.2, d, s, -0.01 in decreasing order.\nAnswer: d, -0.01, -0.2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*c - 2*c + c)*(-1388 + 1388 - 324*c) in the form i*c**2 + k*c + f and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -104940*x**2 + 112277*x?\nAnswer: -209880","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 389265 or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 196*w - 200*w - 24 = 0 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 2*s + 2. Let r be i(2). Suppose -3*v + m = 3*m - 2, -r*v - m = -2. Let x = v + 1. Calculate the remainder when 7 is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3\/6)\/((-1)\/16). Let z(h) = 7*h**3 + 7*h**2 - 9*h + 1. Let c(q) = 20*q**3 + 21*q**2 - 27*q + 2. Let r(x) = 6*c(x) - 17*z(x). Give r(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 583344678 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2635113*q - 1250207.\nAnswer: 2635113","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2779110 to the nearest integer?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in 3\/7, 3, -5\/26, 2\/61, -2\/9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -2\/55, 4, 0.4, 0.07?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (45\/(-6) + 5)\/((-15)\/36). Let h = 11 - 8. Let f(j) = -3 - j**2 - h + 11*j - 3*j. Calculate f(p).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -667*m - 12031. Let f be l(-18). Sort f, 0, 229 in descending order.\nAnswer: 229, 0, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*g = 32*g - 2648. Suppose -3*y - 107 = -g. What is the remainder when y is divided by 62?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 113392 = 13*c - 9*c, -4*c - 3*n = -113384. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 2*j - j)*(4*j - 2*j - j) + 2*j**2 + 2*j - 2*j + 2*j**2 + 15*j**2 - 5*j**2.\nAnswer: 13*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 8*j**2 - 9*j + 10. Determine k(9).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = -26 - 24. Let g = 12 + a. Suppose -3*s - 3 = g*z, -3*s = -z + 18 - 6. Calculate the highest common divisor of 33 and z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1032)\/(-60) - 17 - (-13)\/110*-2.\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -6, 4, 1\/8 in decreasing order.\nAnswer: 4, 0.2, 1\/8, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u - 2*k + 26, 0*u - 2*u + 153*k - 2771 + 174 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 0 - (2206\/(-10) + 4\/(-10)) is divided by 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12508 + -12404. Let q(v) = -v**2 + 19*v - 10. Let f be q(8). Calculate the greatest common factor of j and f.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 208 - 284. Let g(f) = f**3 - 6*f**2 - 10*f + 8. Let a be g(6). Let i = a - m. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 178 + 210*b - 19*b - 2*b**2 + 55 wrt b?\nAnswer: -4*b + 191","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -69999*b**2 - 4. Let u(i) = -1. Suppose -5*l - 3 = -2*l. Let d(w) = l*z(w) + 3*u(w). Let a be d(1). What is a rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 j when three letters picked without replacement from {g: 3, j: 5, t: 3, s: 1}.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -7*q**2 + 2*q**2 + 8*q**2 - 10 - 9*q**2 - 9*q - q**3 - 13. Calculate r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19851227.\nAnswer: 11, 1804657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 257*i - 1497. Determine b(6).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/5 (b) -0.16 (c) 2 (d) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 123234 divided by 23?\nAnswer: 5358","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 693*v + 1393. What is z(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 - 7*b**2 + 6*b + 4. What is z(-8)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027854 rounded to 6 decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u + 5*u - 3*u - 3*u.\nAnswer: -3*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 732531.\nAnswer: 3, 244177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1127701*b**3*h**3 + b**2*h - 3*b*h**3 - 23988*b - 2*h wrt b.\nAnswer: 6766206*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 181 - 157. Calculate the greatest common divisor of a and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -739813, -739829, -739857, -739897, -739949?\nAnswer: -740013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 49 - 59. Suppose 3*u = -5*u + 96. Let w be (-8)\/u*(-18)\/48. Which is the nearest to w? (a) q (b) 2\/5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 2*q + 32. Let w be m(-14). Suppose -5*y = -4*y + 2*s - 7, 0 = -w*y + s + 19. Solve 2*v - 14 = 3*h - 4*h, -4*v - y*h = -40 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -4*t + 1565, -3*t + 1275 - 115 = -2*v. Suppose -2*n + t = u, 2*n + 72 = 5*u + 438. Is (-4 - (1 - 3)) + n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -304*h + 7782 - 2006 = 0. Let y(d) be the first derivative of -7*d**2 + h + 0*d + 29\/3*d**3. Find the second derivative of y(a) wrt a.\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6436 + -6437. Sort 4, v, -29.8.\nAnswer: -29.8, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 + 133*n**2 - 415*n + 20. Give k(-136).\nAnswer: 972","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1485 - 49 - 481 - j - 97 + (-1 + 3 + 0)*(3*j - 4*j + 0*j) + 3*j - j - j.\nAnswer: -2*j - 2112","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 26208.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6659285639 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(z + 0*z + z) + z - 2*z + 2*z + (51*z - 187*z - 401*z)*(-2 + 0 + 4)*(2 + 1 + 8) in the form u*z + s and give u.\nAnswer: -11815","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2232, -4447, -6648, -8835, -11008?\nAnswer: -13167","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 4*q**3 + 894*q**2 + 2*q - 5. Let y(g) = 2*g**3 + 2*g**2 + g - 3. Determine u(z) - y(z).\nAnswer: 2*z**3 + 892*z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u + 1. Let k(i) be the third derivative of -i**4\/12 + i**3\/6 + i**2. Suppose 735*d - 358*d - 359*d - 54 = 0. Determine d*k(h) - 2*z(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -82 - -192. Let l be (-1)\/(-1) - (-12 + 3). Calculate the highest common factor of b and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.59, 1\/8, 0.5, 0.2, -332, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzvvdvsmmsdgszgssdm. Give prob of sequence dvm.\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 14*l + 1. What is z(-1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**3 - 15*r**2 - 11*r + 12. Let n be z(11). Suppose 3*u = d + 5864, -3*u = 2*d - 7936 + n. Suppose 6*m = m + u. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -89 = -2*f - 67. Suppose f*i = 6*i - 3*t + 30, -5*i = -2*t - 5. Solve -p = -p - i*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 12076288, 24152570, 36228852, 48305134, 60381416?\n\"Answer: 12076282*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4)\/4 - (-83415)\/(-27). Let o = 6171\/2 + n. What is the common denominator of -149\/6 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 251285?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*u**2 - 819*u + 159816 with respect to u.\nAnswer: -8*u - 819","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31.16 - 0.16. Let f = -30.6 + a. What is the biggest value in f, 3, -2\/15?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 79 - 37. What is the remainder when x is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 271*d - 24377. Determine j(90).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**5 - 2*k**5 - 3*k**5 - k**2 + (6*k**4 - 3*k**4 + k**4)*(0*k + 3*k - 2*k).\nAnswer: 3*k**5 - k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*u**2\/11 - 126*u\/11 - 1296\/11 = 0. What is u?\nAnswer: -9, 72","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 52.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4740 and 480.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-60)\/(-25))\/6*-5 - 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -307983 = 2674*q - 2687*q. What are the prime factors of q?\nAnswer: 3, 53, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -20 (b) -2\/11 (c) 0 (d) 5 (e) 0.04\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 3:52 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 2*z**2. Suppose 5 = a + 11. Let h be (-1 + a)\/(((-4)\/1)\/4). Let p(j) = -6 + h + 10*j**2 - 1. Give p(g(x)).\nAnswer: 40*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 695 - 396. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 86829916?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/1203 and 43\/435.\nAnswer: 174435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3154587 is divided by 740.\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -5 - (2 + 2*sqrt(13)) - -4*(sqrt(78) - (-4*(2*sqrt(78) - sqrt(78) - sqrt(78)) - sqrt(78)))\/sqrt(6))**2.\nAnswer: -182*sqrt(13) + 2246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 811*v + 5236 = 333*v + 14865 + 15705 for v.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -211 (base 6) to base 3\nAnswer: -2221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 57719, -0.1, -2\/27, -5, -96?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 20*u - 13. Let k be n(-4). Suppose k*j - 38*j + 1188425 = 0. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -390.176 rounded to the nearest 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 57*l**2 + 55*l - 22. Let y(o) = 5*o**2 + 5*o - 2. Let z(b) = 2*w(b) - 22*y(b). Let a(x) = 5*x + 5*x - 4*x - 4*x. Give z(a(u)).\nAnswer: 16*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8334, -16554, -24776, -33000?\n\"Answer: -v**2 - 8217*v - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*y**3\/3 - 4670*y**2\/3 + 92800*y\/3 - 463000\/3 = 0. Calculate y.\nAnswer: 10, 2315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 42 - 4097*h + 164*h**2 + 176*h**2 - 814 + 4099*h wrt h?\nAnswer: 680","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.2, -4, 1\/36?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -3*z. Let t(h) = -2*h. Suppose 0 = 2*f + 5*o - o - 24, 5*f - 2*o - 12 = 0. Let d(b) = f*t(b) - 2*y(b). Let g(u) = -7*u. What is g(d(v))?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = -h**3 + 11*h**2 - 10. Let w be ((-3)\/(-2))\/((-23)\/(-46)) + 4. Suppose s - w = 4. Calculate o(s).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.02 + -0.42. Suppose 5*x + 2 = -4*z, -3*z - 22 = z - 5*x. Which is the third biggest value? (a) 0 (b) z (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-7 + 4)) + -1 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.11 - 2.89. Suppose 9 = 2*v + 5*b, -3*b + 37 = -5*v + 13. Let w be (v\/(-14))\/((-4)\/14). What is the second biggest value in w, 1, r?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1225*n**3\/6 + 210*n**2 + 20736*n + 73728.\nAnswer: -(n - 12)*(35*n + 192)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1136683218 is divided by 123?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -3*n**3 - 2*n + 5. Let s(a) = 2*a**3 + 2*a - 4. What is -4*o(h) - 5*s(h)?\nAnswer: 2*h**3 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-21))\/(1\/(-7)). Suppose -3*u = 4*d - 930, -5*d + 1545 = p*u + 2*u. What are the prime factors of u?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 4 = 0, -3*b - 3*c = 2*c - 20. Suppose b = 2*k - 12 - 16. Let w be 2\/(-2 - (-29)\/k). What is w rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -15*n - 117. Let y be a(-8). Solve 4*m + 11 = 2*r - 5, y*r + m - 10 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 8588.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does -1.277925 = 1\/130?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23122 = -1904*d + 1630 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 68696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -28. Let p be (1904\/196)\/((-1)\/(-7)). Suppose -3*h + 81 = 2*u, 5*u + 2*h - 129 = p. Calculate the remainder when u is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t - 5*t + 2*t**2 - t**3 - 3 + 1 to the form g*t + i*t**3 + o*t**2 + m and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -212.962 and -5.\nAnswer: 1064.81","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994680097 to the power of 1\/3, to the nearest integer?\nAnswer: 1441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*o - 3. Suppose -6*v - 124 = -o. What are the prime factors of -100*(-12)\/v*(-15)\/6?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1201101120100202 + -10?\nAnswer: -1201101120100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide -1*(-1 + 2)*(-271 + 0)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43*s - 2 - 150*s + 4 + 3*s - 184*s to the form d + u*s and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**2 - 10*v**2 - 5*v**2 + 8*v**2.\nAnswer: -28*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**5\/120 + q**3\/3 - 2*q. Let g(t) be the second derivative of y(t). Let k(h) = -2*h**2. Determine g(k(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -4*y**5\/15 - 31*y**4\/24 - 3*y**3 - 15. Let t(v) be the third derivative of q(v). List the prime factors of t(-7).\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 124 = 27*y. Solve 0*t + 2*t - 4*p = 6, -y*t - 4*p + 24 = 0 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 2*f**2 + f + 2. Let r be p(-2). Let h be (-120)\/(-30) + r\/(-2). Solve 0 = n - h - 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253736 divided by 197\nAnswer: 1288","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 518756122 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-10)\/(-125))\/(8\/((-80)\/(-2))).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -149912 - -261703. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 150 = -4*c, 5*c + 5*z - 176 = 14. Let a(j) = 17 + c*j + 56*j + 26*j + 391*j. Let k be a(-13). What is k rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -38 - -50. Let r(c) = 3*c - 5*c + 4*c. What is the smallest common multiple of z and r(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 158*v**3 - 435*v**2 - 418*v. Let j(r) = 63*r**3 - 217*r**2 - 210*r. Let q(g) = 2*c(g) - 5*j(g). Factor q(h).\nAnswer: h*(h + 1)*(h + 214)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 - 9. Calculate the lowest common multiple of h and 4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 0, -3, -2, -5, 29, 2.\nAnswer: -5, -3, -2, 0, 2, 16, 29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, -1, -404.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 1148*n + 53614. Give d(-47).\nAnswer: -342","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 13 = 3*o + 2*o, 4*o = -2*p + 28. Suppose 3*r + 0*r = 9. Which is the second smallest value? (a) r (b) -5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -159*n + 131*n + 336 for n.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 41 - 22. What is the greatest common divisor of 95 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1978*o - 3*o**3 - 4*o**3 - 5908*o - 6 + 1966*o + 1898*o to the form w*o + q*o**3 + t + f*o**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 840 and 130.\nAnswer: 10920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4508 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -108 + 92 + (0 - 2)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4189.298l to millilitres.\nAnswer: 4189298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence da when two letters picked without replacement from abddfbbbbabbbfba?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 480203 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c. Let r be v(-2). Does 15 divide (-819)\/r - (-1)\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3387143.613 take away 3.79?\nAnswer: -3387147.403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*2*(-22360)\/(-16). What is the units digit of 2\/(-6) - b\/(-30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 11) in base 6?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*a + 13*a + 135 = 9*a for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -48*i**2. Let p(z) = 3*z**2. Let u(d) = 30*d + 495. Let j be u(-15). What is j*p(h) + 3*l(h)?\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(66)\/(sqrt(6) + (sqrt(66) + (4*sqrt(66) - sqrt(66)))\/sqrt(11)) + 3*4*sqrt(1584) + sqrt(1584).\nAnswer: 781*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (54\/(-1782))\/((-1)\/(-9))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -40179.7 rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44\/(-8448)*-128*6\/(-49).\nAnswer: -4\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*a**4\/2 + 26181*a**3\/2 - 963600*a**2.\nAnswer: 3*a**2*(a - 73)*(a + 8800)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*j + 28 - 28 + (-2 + 2 - 2)*(-2 + 2 - 2*j).\nAnswer: -4*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4325431?\nAnswer: 11, 271, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -21 times 33.0973\nAnswer: -695.0433","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 686*o. Let a(s) = 785417 - 1570830 + 13*s + 785413. Determine a(m(k)).\nAnswer: 8918*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 q when two letters picked without replacement from qfcwwwckwcwqqw.\nAnswer: 18\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.4196? (a) -5 (b) 3\/4 (c) 2 (d) -2\/9 (e) -1\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p + 2*z = -10, 4*p - 323 = 5*z - 361 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 2*p**3 - p - 2. Let g be w(-1). Does 3 divide 17 + g + -3 + 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 2*x + 1798, -4*i + 8*x + 3601 = 5*x. What is the tens digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(75)*2)**2 + sqrt(432)\/sqrt(9) + -1.\nAnswer: 4*sqrt(3) + 299","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 144 and 120?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00172889898 rounded to 4 dps?\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -24*f**4 + 2*f**3 - 780*f**2 + 1157726?\nAnswer: -96*f**3 + 6*f**2 - 1560*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9143, -18292, -27449, -36614?\nAnswer: -45787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*j + j - 6*j)*(-3 + 1 + 4 - 7 + 11 + 11 + (-4 + 4 + 1)*(2 + 3 - 3) - 3 + 0 + 2) in the form t + i*j and give i.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-1050)*18)\/(27\/126)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 53*w + 22. Let a(f) = -35*f - 15. Let b(p) = -7*a(p) - 5*i(p). Let d(r) = r - 1. What is b(n) - 5*d(n)?\nAnswer: -25*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 312 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 771235989 less than 4?\nAnswer: -771235985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 9. Suppose -5*m + a*m = -3175. Let q = m - -206. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34607 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1188582 to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-12)\/3)\/(-16)*2\/2. Which is bigger: -12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -16.98 - -17. Let h = 92.42 + -90.42. Which is the closest to -0.2? (a) m (b) h (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0226819 milligrams in nanograms?\nAnswer: 22681.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -27.3 + 27. What is the nearest to -1\/4 in 1, -8, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, l: 5, e: 2}. Give prob of picking 2 e.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 72 and 84?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 682*c = 683*c + 5. Let k(s) = -s - 24. Let j be k(-21). Put c, 6, 2, j in decreasing order.\nAnswer: 6, 2, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fspsj. Give prob of sequence pf.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vzrm when four letters picked without replacement from mjjmmmjrzvmjjmm.\nAnswer: 1\/4680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -1. Let c = -1059 - -1061. Suppose m - k = c. Solve -m*b - 10 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 4*a**4 + 21615*a**3 + 5323775*a**2 - 6688500*a = 0?\nAnswer: -5145, -260, 0, 5\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(1872) + -3 + sqrt(1872) + 1))**2*6.\nAnswer: -2304*sqrt(13) + 179808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (5 + 0 + sqrt(12) - sqrt(12)) + (0 + sqrt(9)\/sqrt(3) + sqrt(3))*-6*1)**2.\nAnswer: -168*sqrt(3) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1, -857 in increasing order.\nAnswer: -857, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the third derivative of 137*o**8\/112 + 37*o**5\/20 + 251*o**2. Find the third derivative of r(a) wrt a.\nAnswer: 24660*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0218 - -0.0218. Which is smaller: 1\/66 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.011 less than 173416?\nAnswer: 173415.989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 83000 a multiple of 332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 + 132423?\nAnswer: 132420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129241?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -163, -5, 0.2, -0.6, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 2 (b) -13 (c) -4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.06963 or 10336?\nAnswer: 10336","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: ((-75)\/300 - (-2)\/(-24))*(372\/66 - 4)\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 202 + 4?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -31*y**3 + 19*y**2 - 15*y - 1. Let n(u) = -15*u**3 + 9*u**2 - 7*u. Calculate 13*n(t) - 6*w(t).\nAnswer: -9*t**3 + 3*t**2 - t + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9588*q**3 + 9615*q**3 - 19195*q**3.\nAnswer: 8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -9 + 10. Let d = 194 - 1360\/7. Which is the nearest to d? (a) s (b) 2 (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23\/(15525\/(-1620)))\/((-14)\/90*18\/6).\nAnswer: 36\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*v + 283849*c + 588 = 283845*c, 4*v - 5*c + 168 = 0 for v.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -28*v + 59. Determine s(-12).\nAnswer: 395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 2*i = 13 - 16, 0 = -4*l + 5*i + 1 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/3 + 2*d**2 + 20*d\/3.\nAnswer: -2*d*(d - 5)*(d + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 106361 (base 7) in base 16?\nAnswer: 4a6f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 967840375 to the nearest integer?\nAnswer: 31110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - v - 406 = -z, 3*z = 6. Let m = -1207\/6 + v. What is the fourth biggest value in -5, -2, m, 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 218585?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 528 = 5*t. Calculate the common denominator of -2\/9 and 2\/6 - (-544)\/t.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151336 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + sqrt(192) + 2 - (sqrt(192)*-1 + 3)) + ((sqrt(192) - sqrt(192)*2*4) + sqrt(192))*-1 + -3)**2.\nAnswer: 12288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n - 20. Let u be s(-22). Let x be (-1 - 2) + 68\/u. Suppose -26*c = -x*c + 405. What is the tens digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 77 (b) 5 (c) 9 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -145\/129 - -34\/43. Which is the nearest to 0.1? (a) -2 (b) i (c) 4 (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**5\/60 - l**4\/4 - l**3\/6 - l**2 + 7367*l. Let w be (-28)\/(-5) + (-4)\/(-10). Give x(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = n**2. Let w(m) = m**3 + 3*m**2 + 2*m - 2. Let h be 0 + 9 + 0 + 5. Let i = h + -16. Let s be w(i). Determine o(s).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3651812.\nAnswer: 2, 912953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((-2)\/(-3)*(-1836)\/(-72)).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5.7 less than 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 547 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -332582 by 2.\nAnswer: -166291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a - 2*m - 9 = 0, -4*a + 5*a = m + 3. Let o(v) be the first derivative of 11*v**2\/2 + v + 609. Calculate o(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1737 divide 453581029?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 125 = -0. Let p = 22 - u. Let l(c) = c**2 + 0*c**2 + 3 + 0*c**2 + 5*c. Give l(p).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -343*k**4 - 2750*k**3 - 232*k**4 + 577*k**4 + k in the form y*k**2 + p*k + n*k**3 + u + q*k**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9401 and 17989090?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 24*r**2 + r - 1. Let h be c(1). Let y = h - 16. What is the remainder when 15 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78, -156, -234, -312?\nAnswer: -390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*l**2 + 36 - 9 - 2.\nAnswer: -2*l**2 + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the second derivative of 1\/2*g**2 + 0*g**3 - 1\/6*g**4 + 7*g + 0. Let x(t) = -t. What is m(x(y))?\nAnswer: -2*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.047? (a) 1\/2 (b) 1\/4 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/18 (b) -7\/4 (c) 0.27594 (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (54*d**2 - 2*d - 50*d**2 + 3*d)*(2*d - 2*d - d**2).\nAnswer: -4*d**4 - d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o = -7*o - 6840. What is o rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -725, 0, -0.1, -5\/19 in descending order.\nAnswer: 0, -0.1, -5\/19, -725","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence buu when three letters picked without replacement from xbubbbu?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose -2*g + t*w = -19, 0 = -g - 0*g + 4*w + 17. Factor -690*y**2 + g*y - 8*y**3 + 4*y**5 + 690*y**2 - y.\nAnswer: 4*y*(y - 1)**2*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26335 divided by 1.\nAnswer: 26335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 - l**2 - l**2)*(3*l**2 + 0*l**2 - 2*l**2) - 10389*l**2 + 10389*l**2 + 95*l**4 - 52*l**3 + 56*l**3 - l**4 - 6*l**4.\nAnswer: 86*l**4 + 4*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*q - 21 + 5, 3*a - 12 = -5*q. Let z(l) be the second derivative of q*l**2 + 0*l**3 - 1\/90*l**6 + 1\/18*l**4 - 1\/60*l**5 + 0 - l. Factor z(b).\nAnswer: -b**2*(b - 1)*(b + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 2, 1, -10?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 83765952529 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 4 = -g. Let p be 1\/((-4)\/8 + g). Let m(y) = -3*y**3 - 2*y**2 + 2*y - 3. Let f(i) = i**3 - i + 1. Give p*f(d) + m(d).\nAnswer: -d**3 - 2*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(250)*-3)\/(sqrt(2940)\/sqrt(12)) + (sqrt(192)\/(sqrt(42)\/(sqrt(63) - sqrt(7))) + -5)**2.\nAnswer: -575*sqrt(2)\/7 + 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ghrw when four letters picked without replacement from woghr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7495*u**4 + 4*u**3 + 49466*u wrt u?\nAnswer: -89940*u**2 + 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-three thirds of a week in hours?\nAnswer: 1288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -72, -174, -320, -534, -840?\n\"Answer: -4*o**3 + 2*o**2 - 80*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 - 114 = -16*u. Suppose -g + o + 1601 = 2*g, u*o = g - 543. Is g a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/(-32)*(0 - 7 - -1). Which is the third smallest value? (a) -4 (b) q (c) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 3*o**4\/4 - 39*o**3\/2 - 70143*o**2\/4 + 35109*o\/2 = 0.\nAnswer: -141, 0, 1, 166","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -373*h + 404*h - 96534 = 0. Calculate the remainder when h is divided by 84.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/(-10))\/((-60)\/150)*6. What is the third biggest value in 5, u, -1\/12?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -35a282 (base 12) to base 11.\nAnswer: -543028","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 78\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4*o + 25. What is the remainder when (-482)\/(-6) + (-8)\/6 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 3\/8, -3, -4, 178?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8 + 1 + 3*h + 0*h + 0*h as q + a*h and give q.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 3, -8, 1, 12, -3795 in decreasing order.\nAnswer: 12, 3, 1, -3, -8, -3795","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/420 and -39\/22.\nAnswer: 4620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:01 PM and 12:00 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -7542728.\nAnswer: 1\/1885682","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + 4. Let p = 310 + -307. Solve -3*r + a + p = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -420, -496, -572, -648?\n\"Answer: -76*t - 344","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 543 and 352.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**3 - 7*c**2 + 6*c - 4. Let g be u(-6). Let t be 6\/(-9) + g\/(-6). Let h = -1 - -7. Calculate the greatest common divisor of h and t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1053)*-1 + sqrt(1053))*-4 - 6*(-1*sqrt(91) + sqrt(91) + sqrt(91))\/sqrt(7)) + -4 + (sqrt(637) - 2*sqrt(637)*4) + -1)**2.\nAnswer: 550*sqrt(13) + 39350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -1, -536, 5, 4513, 1 in decreasing order.\nAnswer: 4513, 5, 1, 0, -1, -536","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1107952426 to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14169420 a multiple of 109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(272) + sqrt(272) + sqrt(272)*1*-2 - 2*sqrt(272)*-3)*-4 + -1)**2.\nAnswer: 192*sqrt(17) + 156673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5, -15, -31, -53, -81, -115?\nAnswer: -155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + z + 0 + 0*z + z + z + z + 0*z + z + 0*z - 5*z + 0*z + 4*z + (2*z - z - 3*z)*(-6 + 3 + 2) + 2*z + 0*z - z to the form b*z + k and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6.8, -3\/4, 16984 in increasing order.\nAnswer: -6.8, -3\/4, 16984","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 1455*i + 25152. Determine z(-17).\nAnswer: 417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13539.\nAnswer: 3, 4513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 7\/4, 88, -2\/5, -3, 476?\nAnswer: 476","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -4*d**3 + 5*d**2 + 5*d + 10. Let x(y) = -y**3 + y**2 + y + 1. Let h(i) = -a(i) + 5*x(i). Differentiate h(p) wrt p.\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 42*a**2 - 4. Let s(d) = 15*d. Determine y(s(v)).\nAnswer: 9450*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 590, -4, -1, 28.\nAnswer: -4, -1, 28, 590","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 231796602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 32*m**2 - 1. Let q be y(-1). Let i = q - 15. What are the prime factors of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 1:49 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 784 is divided by 255.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -2*d + 11. List the prime factors of r(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 239*a - 243*a = 5*j + 41, -3*a + j = 7 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 491 = o - 245, 4*o = -3*q + 2909. Let f(d) = 10*d**2 - 2*d - 2. Let j be f(2). What is the highest common factor of o and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-13)\/(-1))\/((-42)\/(-42))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 74529000 rounded to the nearest one million?\nAnswer: 75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10791?\nAnswer: 3, 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 12:07 PM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 253151 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 11174602?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 1033 = -2*f + 350, f + 4*q - 681 = 0. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the third derivative of -n**8\/168 + 2*n**5\/15 - 15*n**2. Find the third derivative of i(x) wrt x.\nAnswer: -120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 147 - (2 + -3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -20 - -22. Let d(j) = j**3 + j + 82*j**2 - 84*j**o - 2 + 0*j. Calculate d(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 - -1. Suppose 2*g + 3*g - 340 = -5*f, y = -3*g. Does 12 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -6068*n - 547. Is z(-12) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1137171.2 to the nearest 10000.\nAnswer: 1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 182, -2, -4, 2\/9 in ascending order.\nAnswer: -4, -2, 2\/9, 182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -4 + (sqrt(224) - ((sqrt(224) + 5*sqrt(224))*-1 + sqrt(224) + sqrt(224)))\/((sqrt(288)\/sqrt(9))\/sqrt(4)).\nAnswer: -9 + 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -5 (b) -0.3 (c) 0.049 (d) -31\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 120 = -y + 261, 3*y + 3*u = 1143. Suppose 4*l - y = l. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 252 - 253. Let j be (-16 + 14)\/(3*a). Factor -4\/3 - 10\/3*p - j*p**3 - 8\/3*p**2.\nAnswer: -2*(p + 1)**2*(p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_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: Find the third derivative of 3*l**5 - 19320*l**4*s + 2*l**3*s + 2*l**2 - 9*l*s - 229*s wrt l.\nAnswer: 180*l**2 - 463680*l*s + 12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -16*f - 74. Calculate the remainder when 345 is divided by s(-9).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 266100 by 10.\nAnswer: 26610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1306*g - 577*g - 1584*g.\nAnswer: -3467*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 2*p - 238 = 814, 5*g - 2580 = 5*p. Calculate the remainder when g is divided by 29.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.008*-0.0983067\nAnswer: 0.0007864536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.9989ug to milligrams.\nAnswer: 0.0939989","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - c**2 - 6*c**3 + 2*c - 3*c. Let y be h(-1). Suppose 2*l = 17 + y. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 21*s. Let a(r) = -35209*r**2. What is a(u(q))?\nAnswer: -15527169*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, -116, -8?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 631991 to the power of 1\/2, to the nearest integer?\nAnswer: 795","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6*t**2 - 27*t + 9. Let y be f(-4). Let h(x) = 1246*x - 299. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*h**3 + 2096*h**3 - 4764*h**3.\nAnswer: -809*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12003041 a multiple of 30?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -6\/19? (a) -6 (b) -0.255 (c) 6\/13 (d) 0.4 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 8896 and 154608?\nAnswer: 85962048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**2 + 3*w - 2. Let m(g) = 24330*g**2 - 51093*g + 34062. What is -17031*c(l) - m(l)?\nAnswer: -7299*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 - q**3 + 88*q**2 + 29 + 1 - 89*q**2 to the form m*q**2 + x*q**3 + n + j*q and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 + (-1)\/((-1)\/(-8)). Let s = -7 - i. Solve 2*g + 7 = -s for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152709941 is divided by 301?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 7*d**2 + 6*d + 13. Determine g(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 23200333 (base 4) to base 5\nAnswer: 3002132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-12)*b)**(-40)\/(b\/b**12*b*(b\/(b**(-3\/10)*b))\/b*b) assuming b is positive.\nAnswer: b**(4497\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is u in 20\/7*u**2 - 8\/7*u + 0 = 0?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 24*o - 46*o + 23*o + 1 + 2*o**2 - 2*o**4 as f*o**4 + m*o**2 + v*o**3 + z*o + c and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 1532000 = -2*o. Round o to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 49897 is divided by 108.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6225)\/(-2))\/(4\/3200). What is g rounded to the nearest one hundred thousand?\nAnswer: 2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -2*f**2\/7 + 48*f\/7 + 1170\/7 = 0.\nAnswer: -15, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 571*x - 2859. What is l(5)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = v**3 + 12*v**2 + v - 6. Suppose 30*r - 120 = 40*r. Give b(r).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -36*m - 115 = 9*m - 880 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1585, 4, 11, 156, 6.\nAnswer: -1585, 4, 6, 11, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -234 + 239. Suppose -o*d + 5*g = -130, -d - 2*g = d - 40. Which is bigger: -2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 8:37 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -83, -189, -309, -449, -615, -813?\n\"Answer: -j**3 - j**2 - 96*j + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yas when three letters picked without replacement from aaaaaaayasaaaaa?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*w = 158 + 517 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -12*d + 2. Let s be k(0). Suppose -s*j = 2*a - 3*j - 1027, -3*a = 3*j - 1563. List the prime factors of a.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*r - 847 + 3416 = -189*r - 4942 for r.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 84 = -5*t. What is the greatest common divisor of 6 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.2 (b) 4 (c) -1\/9 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -b**3 + 4*b**2 - 5*b - 5. What is o(3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a day in seconds?\nAnswer: 21600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -17*n + 151. Give z(13).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1021010112 (base 3) in base 8?\nAnswer: -60461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 292639 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 15. Suppose -u - 3*u + 3*m = t, 4*u - m - 3 = 0. Let l = -6 + 5.6. What is the nearest to u in 2\/3, l, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -120234543 (base 6) in base 2?\nAnswer: -1000100111110000011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, -17, -2, -2\/5, -2\/9 in decreasing order.\nAnswer: 0.5, -2\/9, -2\/5, -2, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 14100?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26321254 - 26321265 + 52642519 - 177*h**2.\nAnswer: -177*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*b - 3*d + 150, 145 = -25*b + 30*b + 2*d. What is the remainder when 104 is divided by b?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5\/(-2)*4\/(-5). Suppose 5*x = -4*k - 4, x - 5 = -0*k + 5*k. Suppose -28 = -x*t - s*t. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 833 = w + 828. What is the second biggest value in -73, -4, w, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61316*m**3 - m**2 + 17*m - 129.\nAnswer: -367896*m - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i**3 + 2*i**2 + i - 21. Let p(h) = -2*h**3 + h**2 + h - 22. Let g be 4\/5*(38\/(-4) + 7). Calculate g*r(s) + 3*p(s).\nAnswer: -2*s**3 - s**2 + s - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 656 is divided by 13.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 8*y + 3. Let k be l(4). Let f be 1 + 0 - 50\/k. Put -1\/4, -3, f in decreasing order.\nAnswer: -1\/4, f, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -4*x**3 - 100*x**2 + 1147*x - 1058. Let k(a) = 22*a**3 + 502*a**2 - 5734*a + 5290. Let h(s) = -16*f(s) - 3*k(s). Factor h(r).\nAnswer: -2*(r - 23)**2*(r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*q = -174 + 849. What is the remainder when 187 is divided by q?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 74 - 17 - 17 - 13 - 519*v - 19 to x + c*v and give c.\nAnswer: -519","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (3 + sqrt(2) + 4 - 6*(0 + sqrt(2))) + (((sqrt(50) - sqrt(800)) + sqrt(50) - sqrt(24)\/sqrt(3))*-2)**2 + -1.\nAnswer: -5*sqrt(2) + 1158","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/o**(1\/3))**(-10))**10\/((o*o**(-1))**(-33)*(o\/o**(-2\/3))\/o*((o*o**(-5))\/o)\/o) assuming o is positive.\nAnswer: o**(-484\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1699 + -1702. What is the fourth smallest value in 0.05, j, 0, -10?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) be the third derivative of 1\/12*n**4 + 0 - 16*n + 0*n**3 + 1\/15*n**5 + 2*n**2. What is b(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u**3 - 5232*u**2 + 2588076*u + 3859254808 = 0 for u.\nAnswer: -1073, 838","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 80 = 9*m, -7933*m - 4*n = -7935*m + 28 for m.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -3*f - 3, 0 = u + 2*f + 119. Let b = -59 - u. Let r be (-114)\/(-15) - (-2)\/5. What is the highest common divisor of r and b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -y**3 - 12*y**2 - 12*y - 27. Let o be a(-10). Let w = -108 - o. What is the second smallest value in 3\/5, -3, w, 3\/4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 903764123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of -3*k**5\/20 + k**4\/12 + k**3\/3 + k**2\/2 - k. Let n = -6 + 9. Suppose 13 = -4*o + 3*h, -3 = n*h - 12. Calculate b(o).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (144\/20)\/(122\/(-1220)*2\/1)\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0*5\/(-20)*-4. Suppose x = -24*m + 1 + 47. Let l(o) = 2*o + 2*o**2 - 4*o + 3*o**3 + 0*o. Let s(k) = k**3 + k**2 - k. Give m*s(b) - l(b).\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 473 minutes before 8:43 AM?\nAnswer: 12:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 605 = 5*g, g - 5*g + 4 = 0. Suppose -q + y = 4*q. What is the remainder when 117 is divided by q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 2602?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*r = 373 - 175 - 275. Let n(a) = -2*a**3 - 4*a - 9. Let p(h) = -h**3 - 3*h - 8. Give r*p(m) + 6*n(m).\nAnswer: -5*m**3 - 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 948861?\nAnswer: 3, 113, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o = -3*y - 18, 25*o = 28*o + 5*y + 24 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-77 - (-30 + 62 + -44)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 1. Let g(x) = -3*x**2 - 2. Determine -g(z) - 2*n(z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -11*x + 15. Let d(i) = 41*i - 47. Let p(u) = 62*u - 72. Let r(s) = -7*d(s) + 5*p(s). Give -6*r(m) - 13*w(m).\nAnswer: 5*m - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s + 2. Let n(g) = -g + 1. Let f(t) = 7*n(t) - 2*o(t). Let j be f(3). Suppose -3*k - 2 + 29 = j. Solve -3*a = -k - 6 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -p - z + 59, 3*z = -3*p + 33. Suppose 2*g - 4*g = 0. Suppose -3*b + 2*n + 11 = g, 9 + 9 = 2*b + 4*n. What is the remainder when p is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2\/12899 or -41?\nAnswer: 2\/12899","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the second derivative of -x**9\/22680 + x**8\/10080 - x**4\/4 - 4*x. Let w(b) be the third derivative of m(b). Find f, given that w(f) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 131 is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-1*(3 + (0 + sqrt(2299)*1)*-6)*-5)**2*3.\nAnswer: -29700*sqrt(19) + 6207979","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m\/m**28*m*m*m**(7\/5)*m assuming m is positive.\nAnswer: m**(-113\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2890 and 49997.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-1*-3*sqrt(396) + -3*-3*sqrt(396) - (sqrt(396)*-1 + 3 + -1*(sqrt(396) + 2))) + 0)**2.\nAnswer: -77617 + 168*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/105 + (-962)\/3367?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -24 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -780\/23 or -35?\nAnswer: -780\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 456 divided by 6.\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 88482060 and 1413?\nAnswer: 1413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**2 - 6*b + 26. What is i(-12)?\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o - 484*w - 37 = -487*w, -25 = o - 2*w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -24\/385 and 79\/1035.\nAnswer: 79695","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.4 and -9922098.\nAnswer: -9922098.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1 + (3\/(-1))\/(-1). Let k = -2 + y. Suppose 2*v - s - 158 = 0, 5*v + s + k*s = 395. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 - -29. Let v be r*7\/(-21)*2\/6. What is the nearest to 0.05 in 0.1, 2\/3, v?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -96 - -754. What is the hundreds digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 7. Let v(n) = 8*n**2 - 20. Let f(w) = 17*g(w) - 6*v(w). List the prime factors of f(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 59.968818 milliseconds?\nAnswer: 0.000016658005","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1331)*2 + -1 + sqrt(1331) - (sqrt(1331) + 5 + (sqrt(1331) - (sqrt(1331) + -1))))**2 + -3 + (3 + sqrt(55)\/(1*sqrt(5)*5))*-1.\nAnswer: -1541*sqrt(11)\/5 + 5367","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f - 6. Let j(n) = -2*n + 19. Calculate 3*j(l) + 8*v(l).\nAnswer: 2*l + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 0 - 16\/3*w - 100\/9*w**2 - 56\/9*w**3 - 4\/9*w**4 = 0.\nAnswer: -12, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14 + -18 + (14 - (-14 - -13))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 12547127?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9647935 to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -564, -735, -1012, -1389, -1860?\n\"Answer: g**3 - 59*g**2 - g - 505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c - 1 + 6 = -m, 5*m + 5*c + 10 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8744 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 9583 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 3*b**3 + 35*b**2 + 14*b - 2. Let q(t) = t**3 + 12*t**2 + 5*t - 1. Let p(u) = -17*q(u) + 6*r(u). Give p(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.5 - -8. Sort -2\/29, -0.3, k.\nAnswer: -0.3, -2\/29, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 1, e: 1}. What is prob of sequence qe?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -427\/2 + 230. What is the common denominator of -61\/16 and n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7219\/396 + -73\/4. Let k = 307\/495 + h. Let n(f) = f**2 - 2*f - 9. Let r be n(4). Which is the nearest to -1? (a) k (b) -2\/9 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7792 = 5*k, 2891 + 3343 = 4*k + 2*t. Calculate the remainder when k is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -14*r**2 + 25. Let g(t) = -5*t**2 + 8. Let c be (-4)\/((1 + (4 - 8))*(-3)\/18). What is c*g(y) + 3*w(y)?\nAnswer: -2*y**2 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 - 9*j**2 + 6*j + 2. Calculate f(6).\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:32 AM and 2:43 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o + 478 = 298 for o.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = -g, 0*g = 4*g + x + 10. Let o(p) = -p**3 - 3*p**2 - p. Let t be o(g). Put t, -1, -2, 4 in descending order.\nAnswer: 4, t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 712*s - 130 = 702*s for s.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/8 (b) 0.3 (c) -36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(343) + -4 + 0) + (-1 + sqrt(343))*4 + (sqrt(343) - ((sqrt(343) - (sqrt(343) - (5 + sqrt(343)*2))) + sqrt(343) - sqrt(343))))**2*-2.\nAnswer: -2986 + 616*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25030 - 1?\nAnswer: 25027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 12) to base 15.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10\/3 in -3\/7, 3, -3, -36?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + (102 + -3)\/11.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89153 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 127?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14456 - b9?\nAnswer: -14553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1096567 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 157 - -34. Let y = l - 357. Calculate the common denominator of y\/(-6)*(-18)\/(-408) and 27\/22.\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-18)\/3)\/108)\/((-3)\/9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.56 - -64.56. Let d = 65 - i. What is the closest to -3 in d, -5, 0.08?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -222920076 from -0.09.\nAnswer: 222920075.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4199360 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*w + 2121 - 1086 + 1696 = -1757 for w.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ynnn when four letters picked without replacement from {n: 11, y: 1, k: 3}.\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the third derivative of 0 + 1\/6*k**3 + 0*k - 14*k**2 + 13\/24*k**4. Is y(4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 19750921 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 35\/2, 1.14, -40?\nAnswer: 35\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b (base 16) to base 7.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5046?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 5. Let w(y) = y**3 - 5*y**2 - 2*y + 7. Let s be w(5). Give n(s).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 272 is divided by 36.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -548, -630, -772, -980, -1260, -1618, -2060?\n\"Answer: -o**3 - 24*o**2 - 3*o - 520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) be the first derivative of 2*q**5\/25 - 6*q**4\/5 + 14*q**3\/3 + 12*q**2\/5 - 72*q\/5 - 1957. Suppose l(p) = 0. What is p?\nAnswer: -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36922, 71594, 106266, 140938, 175610?\nAnswer: 210282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -22 - -13. Let d = 0.23662422 + -9.23662432. Let k = z - d. Round k to 6 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l*l**1*l*l))\/l)**(-4\/21)\/((l\/((l**8\/l)\/l))\/(l*l**6)) assuming l is positive.\nAnswer: l**(268\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate j**3*v + 1817*j**3 - 2*j*p*v + 376*p**2*v + 4*p**2 + p*v with respect to v.\nAnswer: j**3 - 2*j*p + 376*p**2 + p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 311400 divided by 600\nAnswer: 519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 260 and 58344.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dq when two letters picked without replacement from dllqddljlddcccl.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/((-3)\/3) + 5. Solve -b + 2*n = -7, -q*b + 5 = -n - 16 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 269 - 1162. What is the biggest value in -2, 3\/8, z?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 = 606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 20 - 12. Suppose 3*x - x = p + l, -p = 2*x. Solve 0 = -x*r + 5*d + 21, d - 5*d = 3*r + 26 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -844729*s**3 + s**2 - s - 138107?\nAnswer: -2534187*s**2 + 2*s - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 435529 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 38815214?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -397783813 divided by -7.\nAnswer: 56826259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -61, 10\/13, -1, -5 in decreasing order.\nAnswer: 10\/13, -1, -5, -61","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4001613 (base 9) to base 8.\nAnswer: -10072217","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 30 by 17281.\nAnswer: 30\/17281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y**3 - 14*y**2 - 17*y + 45. Let p be h(15). Let c be (-6)\/9 + 490\/p. What are the prime factors of (c\/(-6))\/((-6)\/198)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -b**3 - 154419*b**2*n**2 + 3*b*n**2 - 1464054*n**2 wrt b?\nAnswer: -6*b - 308838*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (16 + -16)\/(1\/(-1) - 1). Solve 5*n + l*n - 20 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*c = -5*m + 25, c - 3*m - 7 = 0. Suppose -c*f + 1386 = -4*f. Suppose -h + f = -75. What is the tens digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 - 1)*(5 - 2 - 1)*(d**2 + 2*d**2 - 2*d**2).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6256.8277 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -122531 (base 6) to base 14\nAnswer: -4019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c - c**3 - 365*c**2 + 7*c**3 + 210*c**2 + 174*c**2.\nAnswer: 6*c**3 + 19*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190668024 to the nearest integer?\nAnswer: 13808","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s = 59*s - l, -25 = -5*s + 10*l for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 194.5769 or -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 50093*f - 7922. Let l be r(-46). Round l to the nearest 10000.\nAnswer: -2310000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-4 - 13595\/(-3400)). What is the greatest common divisor of 85 and q?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 182 and 963937?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -t**3 + 18*t**2 - 26*t - 8. Let v be b(16). Is 3538\/8 - 110\/v a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -902725367, -902725366, -902725365, -902725364, -902725363, -902725362?\n\"Answer: f - 902725368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36304 and -1361?\nAnswer: 49409744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*o - 10, -3*x - 3*o + 15 = o. Let l(i) = -4*i**2 - 3*i**2 - i + 6*i**2. Give l(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 53930 and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 10*v**2 - 15*v + 3. Let p(o) = -9*o**2 + 18*o - 3. What is -3*p(h) - 4*y(h)?\nAnswer: -13*h**2 + 6*h - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 1758681?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48 = -5*u + 2*b, -4*u - 4*b = -8*b - 48. Calculate the highest common divisor of u and 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1763?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*q**2 + 12*q**2 + 8*q**2 - 35*q**2 + 5*q**2.\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 18.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*j**3\/6 - 73489*j**2\/6 + 1441*j = 0.\nAnswer: -4323, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 47394581 to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*f + 5*f - f)*(1 - 2 + 0)*(4135 - 3530 - 12788 - 6223) to the form a + g*f and give g.\nAnswer: 36812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -164 = -22*t + 14 + 372 for t.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, e: 7, n: 3, b: 5, l: 2}. Give prob of sequence lle.\nAnswer: 7\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*o**3*q**2 - 2*o**3 + 135*o**2*q + 283*o*q**2 - 26*o*q + o wrt o.\nAnswer: -12*o*q**2 - 12*o + 270*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**5 + 63*a**4 + 1122*a**3 + 5920*a**2 + 11421*a + 6559. Let i(x) = -x**5 - x**4 + x**2 + 1. Let c(o) = 2*i(o) + j(o). Factor c(n).\nAnswer: (n + 1)*(n + 3)**2*(n + 27)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h - 20. Let o be i(-6). Find the second derivative of 0*w**3 - w - o*w + 4*w - 7*w**3 wrt w.\nAnswer: -42*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -33\/5*w + 3*w**2 + 6\/5.\nAnswer: 3*(w - 2)*(5*w - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72450 a multiple of 42?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*c - 50960 = -84*c. What is the remainder when c is divided by 37?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -3*h + 1. Suppose -6 = u + i - h*i, 5*i = -4*u + 28. Suppose u*g + g = 102. What are the prime factors of g?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*v*w**2 + i**2*v*w - i**2*w**3 - 2*i**2*w + 2*i*w - 5*v*w**2 + 152*v*w wrt w.\nAnswer: 4*i**2*v - 6*i**2*w - 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 765, 1763, 2769, 3789, 4829?\nAnswer: 5895","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 207435 is divided by 25626?\nAnswer: 2427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of 0 + 6*c**2 - 1\/105*c**7 + 0*c**5 + 0*c**6 + 0*c**4 - 17\/6*c**3 + 0*c. Find the first derivative of u(r) wrt r.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 15. What is c(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*h**3 + 215*h**2 wrt h.\nAnswer: -732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -167.1 + 167.6. What is the biggest value in -15, z, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 2. Let n = u + -23. Suppose j = 2*q - 0*j - 89, n*q - 181 = 5*j. What is the units digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n*n\/n**(1\/2)))\/n)\/(n*n\/(n**(-2\/21)\/n*n)*n*n*n*n)*n**18\/n**(-2) assuming n is positive.\nAnswer: n**(521\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13932, -27870, -41822, -55794, -69792, -83822, -97890?\nAnswer: -112002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 3:59 AM?\nAnswer: 5:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 5 (b) -0.114 (c) 1\/3 (d) -2\/13 (e) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1515723 is divided by 216531.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 - 7*p**2 + 8*p - 3. Determine h(7).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/90 and -41\/12?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 2, b: 11, h: 2}. What is prob of picking 2 b and 1 h?\nAnswer: 22\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/7 + 65*j\/7 + 72.\nAnswer: (j + 9)*(j + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ow when two letters picked without replacement from fffooofwowf?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 130587, 130572, 130555, 130536?\nAnswer: 130515","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 15557511?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1, -10, -19?\n\"Answer: -9*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and 206.\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -10. Solve 0 = -5*l + 3*b + 37, -l - 3*l - 3*b + 8 = c for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28787 (base 14) to base 5\nAnswer: -11202100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand u**4 - 3 + 3 + (u**3 + 2*u**3 - u**3)*(-5*u + 5*u - u) + 5*u**4 - 7 + 7 + (-u**3 + 2*u**3 - 3*u**3)*(2*u - 3*u - u) - 17 + 17 + u**4.\nAnswer: 9*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out 26 * -0.1514.\nAnswer: -3.9364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 2*r**2 - 26*r - 8. Suppose 3*v + 13 = 2*x + 68, 2*v + 2*x - 20 = 0. Let h be k(v). Differentiate 99 + 17*w - 42 - 43 - h with respect to w.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**3 - 6*x**2 + 235*x + 41. Is u(30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*1\/(-1)*1. Let x(i) = -2*i + 3 - 7 - b*i. Let q(j) = -5*j - 4. Let s(a) = -2*q(a) + 3*x(a). Calculate s(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1223 + -2424?\nAnswer: -4051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18668\/55645 - (-2)\/(-5)?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 15390 and 1838592.\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120)*-1)\/(2*sqrt(160)))\/((-3*sqrt(6)*2 - sqrt(6) - sqrt(6)) + sqrt(60)\/sqrt(160)).\nAnswer: -sqrt(2)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = 3*f + 12 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8081?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1034366191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3484 and 1164728.\nAnswer: 15141464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 + c + 2. Let u be a(-2). Suppose 3*p = -3*s - 3, p - 13 = -2*p + 5*s. What is the tens digit of p\/(u\/332 - 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*y - 12 = 0, -5*c = -0*c + y - 15. Suppose -c*r = 2*k - 10, -9 = -k - 0*r - 4*r. Let w = -1\/58 - 107\/522. Which is bigger: w or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 * -1.24.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes before 5:14 AM?\nAnswer: 8:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 7\/300 and -31\/550.\nAnswer: 3300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of -19*z**4\/12 + z**3\/6 - z**2\/2 + 2*z. Let m be n(1). What is the units digit of m\/(-3) + 4\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 210142238?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q - 3 = 2*b, 8*q - 7*q + 1 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7008 is divided by 61.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + (sqrt(88) - -1*sqrt(88))*4 + sqrt(88))\/sqrt(8) + ((-1*sqrt(110) - sqrt(110))*3)\/sqrt(10))**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -53, -31, 17, 103, 239?\nAnswer: 437","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1167 by 1167.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 0.5, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 e when two letters picked without replacement from {i: 1, e: 1, a: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/27 in -3, 5, -632.2, -44, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 15 and 0.237857254356.\nAnswer: 15.237857254356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -544 - -161. Let m = 432 + b. Calculate the remainder when m is divided by 28.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x**2 + 370*x + 1291. Determine n(-60).\nAnswer: 691","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:50 PM and 7:16 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -123167 to the nearest one hundred.\nAnswer: -123200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-33)\/99*(2 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8444 is divided by 134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5835*b + 86059 = 7621*b - 5097*b - 448917 for b.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4267 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: Solve -4*r**4\/9 + 5*r**3\/9 + 67*r**2\/9 - 68*r\/9 = 0 for r.\nAnswer: -4, 0, 1, 17\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g - 4*g + 9 = -5*u, 0 = -g - 3*u - 7. Suppose -o - g*o = v - 51, -47 = -2*o - 5*v. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -2*o**2 - 5*o - 2533000. Let j be x(0). What is j rounded to the nearest one hundred thousand?\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 610524 at least 610526?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/34 - 1664\/884. Let u(t) = -4*t**3 + 2*t**2 - 3*t - 3. Give u(q).\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 2.454372 minutes?\nAnswer: 147262.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8413313\/96 - -87640. Find the common denominator of 45\/64 and a.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -3*p**5\/7 - 72*p**4\/7 - 426*p**3\/7 + 72*p**2\/7 + 429*p\/7 = 0.\nAnswer: -13, -11, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the third derivative of g**6\/30 + g**5\/5 + g**4\/2 + 2*g**3\/3 - 185*g**2. Suppose k(c) = 0. What is c?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -150162 divided by 1726\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 25 = -0*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -r - 6*x + 3*x + 22, 5*x = 2*r + 11. What is the remainder when 1558 is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i*i**20)\/i*i))\/i)\/i**(-29) assuming i is positive.\nAnswer: i**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (34\/(-918))\/(4\/(-48)*-2).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 638, 956, 1486, 2228?\n\"Answer: 106*i**2 + 532","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 270 a factor of 166573260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1107)\/861 - (12\/(-3) - (-1 + -2)). Which is smaller: 12882 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9209.3236 and 0.1.\nAnswer: 920.93236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24 + 98. Suppose -3*y - p = -4*y. Let w = y + -37. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = 0, 7*z - 2*z + 55 = 3*a. Let n = z - -23. Let j be (-3)\/2*(-16)\/n. Solve -21 + j = 3*m - 4*l, 4*m - 3*l = -23 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -69 - -201. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12 + -20. Let z = -5 - s. Let l(p) = 3 - p**z + 0 - 4*p**2 - 3*p + 6*p**2. What is l(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2684)\/(-330) + -8)*(27\/6)\/(-3).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -42*u - 64. Let j(a) = 4*a - 4. Determine 3*j(m) + x(m).\nAnswer: -30*m - 76","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*d = -26*d + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -66.1? (a) 5 (b) 8 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(2\/7)\/y)**17)**(3\/4))**(24\/5))**(-13\/2) assuming y is positive.\nAnswer: y**(1989\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*m**3 + 3\/2*m**2 - 2 + 2*m + 1\/2*m**4.\nAnswer: (m - 2)**2*(m - 1)*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**2 - 4*k**2 + k**2 - 6836*k**2 + 3375*k**2 + 2703*k**2 + 0*k**2 - 3*k**2 + 5*k**2 + 2*k**2 - 2*k + 2*k + (-2*k**2 + 3*k**2 - 2*k**2)*(3 + 2 - 4).\nAnswer: -757*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4011096080?\nAnswer: 2, 5, 19, 2638879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*s**2 - 2*s**2 - 2*s**3 + 5*s**3 + 3*s**3 in the form u*s**3 + x*s**2 + y + j*s and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r - 9. Let t be -2 + 2*18\/4. Does 16 divide i(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4082*i**2 - 1 - 7107*i**2 + 393*i**2 - 8189*i**2.\nAnswer: -10821*i**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15080 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11011100111101 (base 2) to base 4.\nAnswer: 3130331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 15678551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53625526 to the power of 1\/2, to the nearest integer?\nAnswer: 7323","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i**3\/5 - 2*i**2 + 8*i\/5 = 0. Calculate i.\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**2 - 99*g + 2455. Calculate c(49).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 66.\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2275686840 to the power of 1\/3, to the nearest integer?\nAnswer: 1315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 5*a**2 + 4. Let x(t) = -t**2 - 1. Let o(i) = 4*l(i) + 18*x(i). Differentiate o(v) with respect to v.\nAnswer: 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114 + 145 = -13*u - 138 for u.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*a - 16 - a**2 + 25461*a**3 + 6 - 25458*a**3)*(0*a - 2*a + a) to z*a**2 + c*a**3 + y*a**4 + i*a + w and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y - 1. Let g(c) = -46*c**2 + 3*c - 60. Let m(n) = 11*n**2 - n + 13. Let o(t) = 2*g(t) + 9*m(t). What is 3*h(f) - o(f)?\nAnswer: -7*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 23406 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (-3 - (-4 + -17))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-2))\/(7*5\/10)?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -6*k**2 + 7*k + 11. Let b(h) = 3*h**2 - 2*h - 5. Let f(r) = -5*b(r) - 2*p(r). Calculate f(2).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-5 - 0)\/1)\/(2\/40*-50). Let r(t) = t**3 + 8*t**2 + t + 9. Let n be r(-8). Solve -3 - n = -g*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 344 divide 2851072?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (3*(-2 + sqrt(567) + 0 + sqrt(567) + -3))**2*3 + 4.\nAnswer: -4860*sqrt(7) + 61919","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2070830155?\nAnswer: 5, 1109, 373459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -3 + (-3 - -5) + 10. Let g(v) = v**3 - 8*v**2 - 9*v + 3. Let z be g(n). Suppose 0 - 4\/3*y**z - 2\/3*y**5 + 0*y**2 + 0*y - 2*y**4 = 0. Calculate y.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4527 - 6764. Is m less than -2238?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**3 - 11*r**2 + 17*r + 58. What is y(-12)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*x**5\/2 + 612*x**4 + 110877*x**3\/2 - 175578*x**2 - 338850*x + 458376 = 0.\nAnswer: -269, -142, -2, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 97*i = 86*i - 390500000. Round i to the nearest one million.\nAnswer: -36000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**2 - 2. Let c be t(2). Suppose -3*x = -c*x - 2. Suppose 2*u + 4 = -x*m, 0*m + m + 3*u + 12 = 0. Solve -13 = -m*h - 1 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/2, -0.2, 3, -24?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(((-203)\/(-7))\/(-870)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -7*p - 1. Let m(z) = 13*z + 87. Let r be m(-7). What is k(r)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8475971 a multiple of 86?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 340 - 169 + 5*t - 171.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4225 is divided by 4056.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 + 3. Let s = 13.8 - -99.2. Let m = 112.8 - s. Which is the closest to -1? (a) h (b) -1 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*q + 0*q**4 + 21*q + 2*q**3 - 2*q**4 + 23*q - 2 as m*q**3 + b + j*q**2 + v*q + p*q**4 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 425 and 150?\nAnswer: 63750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 116430, 232862, 349294?\nAnswer: 465726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -8*v**2 + 2*v + 1. Let y(b) = 2*b**3 + 7*b**2 - b - 4. Let u(d) = -d**3 - 3*d**2 + d + 2. Let x(l) = 9*u(l) + 4*y(l). Let w be x(3). Give k(w).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 71, 135, 241, 389?\n\"Answer: 21*q**2 + q + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -0*i - 3. Suppose 22*m = 13*m - 756. Let x be 2\/(-5)*(-105)\/m. Which is the closest to -1? (a) i (b) x (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -28*o - 5. Let g be z(5). Let k be g\/(-40) + 3\/8. Let j(r) = -1 + 3 + 0*r - r. Let d(m) = 2*m - 5. Determine k*d(b) + 10*j(b).\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 4*z - 2*z + 46, -z + 47 = 5*o. Put 2, -1, o, 0 in descending order.\nAnswer: o, 2, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/(-135)*3)\/(4\/24)?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5328)\/3663*11*1\/(-5)?\nAnswer: 16\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 4*h = 28, l + 3*h + 18 = -h. Solve 8*o = -l*o + 10 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/7)*o*o**(-2\/17) assuming o is positive.\nAnswer: o**(71\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 453a1 (base 11) in base 5?\nAnswer: 4100233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1087.35 rounded to the nearest ten?\nAnswer: -1090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-1\/2)\/y*y)**18\/(y\/y**(1\/4))**2)\/((y\/(y**3*y)*y*y*y\/(((y*y*y\/y**(-5))\/y)\/y)*y)\/(y**(-1))**47) assuming y is positive.\nAnswer: y**(-105\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 231 (b) 0.01539 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 10868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((sqrt(847) - (sqrt(847) + 1*sqrt(847)*-4))**2 + -2 + 0).\nAnswer: 81300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -3 - i + 4*i**2 + 4 - 1 + 1. Let v be w(1). Let o be (v\/6)\/(22\/33). Is o equal to -2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59.9032 hours to microseconds.\nAnswer: 215651520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 17*y - 13*y - 8145 = 0, s - 3*y = 1629. Is 41 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280 = -6*b - 51*m + 46*m, -5*m = 8*b + 290 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.94 + 3. Let g = -0.3186104 - -0.25861. Let n = g + h. Round n to 6 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m**3 - 34*m**2 + 5*m - 17. What is a(-34)?\nAnswer: -187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rxr when three letters picked without replacement from {x: 1, p: 1, f: 12, r: 3, n: 2}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 2. Let h = 1156.5 - 1156. What is the closest to 1\/2 in -5, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 135 and 59805.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 2018 = -2*z, 6*z + 5 = 7*z. Let t = w + 504. Let m(b) = -3*b - 4. Give m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9*(-12)\/6*8\/(-9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/55*5)\/(8\/88)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of s**2*t**3 - 1584445*s**2*t**2 + 245*s - 1160*t**3 wrt s?\nAnswer: 2*t**3 - 3168890*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 213025 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 plus 27075076278074?\nAnswer: 27075076278074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -122.11 * 9173\nAnswer: -1120115.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + l - 1. Let v = -71 + 104. Suppose -3*z - v = 3*x, z + 26 = -2*x - 2*x. Let n(y) = 5*y**2 + 6 + 0*y - 5*y - 3*y. What is z*j(q) - n(q)?\nAnswer: q**2 + 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -30*f. Let v(m) = 11*m**2 + 9*m + 9. Let n(w) = 5*w**2 + 4*w + 4. Let p(h) = 9*n(h) - 4*v(h). Calculate z(p(b)).\nAnswer: -30*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1) - -8 - 2. Find the second derivative of -5*q**3 - 3*q + 9*q - g*q + 6*q wrt q.\nAnswer: -30*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1\/5)*j)\/(((j\/(j*j\/(j**(1\/3)\/j)*j))\/j)\/j))**(-8)*(j*j**(-1\/9)*j*j*(((j*j**(2\/5))\/j)\/j)\/j*j*j)**(-1\/19) assuming j is positive.\nAnswer: j**(-7508\/171)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10806 divided by -3.\nAnswer: 3602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/9 - 532\/(-36). Suppose -o = 4*w + c, 5*w + 1 = -o - 17. Let r be w\/2*6\/(-9). Calculate the highest common factor of 3 and r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus 119.8?\nAnswer: 118.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 26 + 1 - (-30 - -31)) + -41 + 53?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.7, 0.1, -0.2, -3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h**4\/11 - 549178*h**3\/11 + 2901127510*h**2\/11 - 12264679742*h\/11 + 2675819544\/11 = 0. What is h?\nAnswer: 3\/13, 4, 10559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 120 and 120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 + -13. Let q = a - 0. What are the prime factors of 1 - (q + -2 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s + 2 + 2 = h, -2*h + 2 = 4*s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (2 - 6\/2). Suppose d = 3, q*h + d = 2 + 3. Let t be ((-18)\/24)\/(h\/(-12)). What is the greatest common divisor of t and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 11:55 AM?\nAnswer: 7:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3 (b) -7 (c) 2 (d) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -166 - -240. Suppose -24 = 2*x - m. Suppose -276 = -3*c - 60. Calculate the remainder when c is divided by x.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 98 and 24203648.\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -2*l - 7. Let x be c(-5). Suppose -5*f - x*j + 10 = 0, f - j - 8 = -3*f. Solve 5*i = f*i + 9 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**2 + 13*v + 42. Let r be q(16). What is the units digit of r\/(-1)*((7 - 1) + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 8 = 28. Let u be l*(-2)\/(-4)*-1. Is 3 a factor of (1 + 1)\/(u\/10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/9*6\/(-15).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 + 9*u - 7. What is r(-12)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 34197505?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14.5885341 hours to weeks.\nAnswer: 0.0868365125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1850*c**4 + 1580*c**3 + 376*c**2 + 16*c.\nAnswer: 2*c*(5*c + 2)**2*(37*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 84688421 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4832*y + 78. Let a be i(-5). Let c = -15591 - a. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 + 0)*(1 + 2*v - 1) - 3*v + 0 + 0 + (42 - 1999 + 292)*(5 - 3 + 0 - 3*v).\nAnswer: 4988*v - 3330","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1443\/(-429)*-22)\/((3\/1)\/(21\/(-14)))?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616*b - 14821 = 3659 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 - 130 = 3*p, 5*v - 198 = -4*p. Let g(m) be the first derivative of -23\/2*m**2 + v*m - 20. Differentiate g(s) with respect to s.\nAnswer: -23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (89 - -1) + (4439 - 4564).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 8*a**2 + 50*a + 1. Let l(x) = 50*x**2 + 43*x**2 + 44*x**2 + 60*x**2 - 2 - 212*x**2 - 99*x. Give 6*l(t) + 11*y(t).\nAnswer: -2*t**2 - 44*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-24)*(-6)\/9.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 2761*k**3 - 121*k**2 - 121*k. Let g = -2903 - -2905. Let r(d) = -46*d**3 + 2*d**2 + 2*d. Determine g*l(p) + 121*r(p).\nAnswer: -44*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1996073, 3992211, 5988349, 7984487, 9980625, 11976763?\nAnswer: 13972901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 - 1. Let z = -1919\/2453 + 215\/223. Sort g, 0.4, -3, z.\nAnswer: g, -3, z, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + n + 18 = 0, n = -5*v - 3*n - 37. Let s = 0.56 + -41.56. Let o = s - -40. What is the nearest to -1 in 8, o, v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 21, -26, 2\/7, 0.3, 2, 232?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of 72208355.8 and 8.87.\nAnswer: 72208364.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 3:41 PM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = k + 40 - 102, -k + 12 = -5*y. Suppose k - 11 = b. What are the prime factors of b?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -952*q - 4\/3*q**2 - 169932.\nAnswer: -4*(q + 357)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 541*m - 26186 = -8874 for m.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 0.2, -22165 in ascending order.\nAnswer: -22165, -1\/3, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-108)\/216)\/((-3)\/(-2))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -146 + 150. Solve d = 2*k - 3 - 1, -16 = -3*k + f*d for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**2 - 6*k - 10. Calculate z(12).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 24 = 2*q. Suppose 2*x + q = 5*x. Sort -4, 0, x in increasing order.\nAnswer: -4, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2528616.\nAnswer: 2, 3, 105359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, -2\/3, -64\/3 in decreasing order.\nAnswer: -0.4, -2\/3, -64\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-120)\/(-45)*(-738)\/(-656)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -24*n**3. Let b(g) = -8*g**3. Determine -8*b(s) + 3*j(s).\nAnswer: -8*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*3\/(-9))\/((-12)\/(-360)*-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -162060 rounded to the nearest 10000?\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2485 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gqgg when four letters picked without replacement from gqqqqqqqqqqq.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 13114 (base 5) to base 11\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2074838\/622455 + 4\/207485. Factor o*t - 28\/9 - 2\/9*t**2.\nAnswer: -2*(t - 14)*(t - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + g = 1 - 4, 4*g + 26 = 3*j. Let o(n) = -n**3 + n**2. Let t be o(1). Suppose -f + 0*f + 4 = t. Solve f*h + 10 = -j for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -i**4\/2 + 5*i**3\/2 + 360*i**2 - 1090*i + 728 = 0.\nAnswer: -26, 1, 2, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*w + 4*g, -98073 = 2*w + g - 98070 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000032395 rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 251 - -1049. Round x to the nearest one thousand.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 h, and 2 s when four letters picked without replacement from {h: 1, s: 6, m: 5, v: 7}?\nAnswer: 35\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*m + 3*a - 693 + 654, -m + 3*a - 14 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1909 and 498.\nAnswer: 11454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2088*u - 1. Let k(b) = 2*b**2 - 4. Calculate k(c(l)).\nAnswer: 8719488*l**2 + 8352*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*x**3 + 403*x**2 - 10 - 403*x**2.\nAnswer: 117*x**3 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -2*b**3 - 3*b**2 + 6*b + 7. Let h be d(-2). Which is smaller: 3\/3416 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of b**3*o**2 - 239*b*o**2 + o**2 + 46*o wrt b?\nAnswer: 3*b**2*o**2 - 239*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y + s - 1 + 5 = 0, 401*s - 1 - 3 = 8*y + 397*s for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7\/((-102)\/(-24) + -4). Calculate the greatest common factor of 28 and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 16, -2, -18?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 157711 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(((-33)\/44 - (-6 + 5))*8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 17 - (0 + -6 + 15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 2*h - 778 = 0, -r + 3*h + 371 = 114. Is 4\/(-5)*r\/(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 117 minutes before 4:35 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1080.661728 rounded to two dps?\nAnswer: -1080.66","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dlykd. Give prob of picking 1 y, 1 k, and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 32*o**3*x**3 + 1358750*o**3*x - 27*o**2*x**3 + o**2*x**2 + o*x - 126*x**3 wrt x?\nAnswer: 192*o**3 - 162*o**2 - 756","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -451 = -5*q - 51. Suppose 3*b - 4*b = -32. What is the highest common divisor of b and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2)\/(-12) - 46\/(-12). Suppose o*y - 277 = -k, -3*k + 179 + 92 = 4*y. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -411591*f**3 + 696*f**2 + 107 wrt f.\nAnswer: -2469546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4004, 16018, 36034, 64046, 100048, 144034, 195998, 255934?\nAnswer: 323836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 160.45 or 245.75?\nAnswer: 245.75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 3 + -10 + 14 - 8) + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 800 = -2*d. Let l = d - -449. Does 17 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 3*z - 5*y - 0*y, -5 = -5*y. Suppose 2*a - 6*a - d = z, d + 5 = a. Let q = -10 - -14. What is the greatest common divisor of a and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 211482 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 27985 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 77*n**3 + 9*n - 79?\nAnswer: 231*n**2 + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x - 1. Let g(k) = 6*k - 8. Calculate g(w) - 8*q(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the second derivative of l**5\/20 - 189*l**3\/2 - 95*l**2\/2 - 50*l - 1. Differentiate u(p) with respect to p.\nAnswer: 3*p**2 - 567","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.953953 to 2 decimal places.\nAnswer: -28.95","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/13593 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -1726*l + 58. Let c(f) = 22437*f - 783. Give 2*c(y) + 27*v(y).\nAnswer: -1728*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 101879?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17758298?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 9:08 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6*d**3 - 501261*d**2*n - 2*d**2 - 549*d*n - 494*d + 7 wrt d.\nAnswer: 36*d - 1002522*n - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 165 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -11024*u + 2335. List the prime factors of b(-5).\nAnswer: 5, 11491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is y in -2*y**4\/3 - 10*y**3 + 62*y**2 + 2470*y\/3 - 2704 = 0?\nAnswer: -13, 3, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 84442 is divided by 326.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -35*x + 4. Let p(h) = -1841 - 2*h + 3679 - 1838. Give g(p(j)).\nAnswer: 70*j + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 3*v**2 - 3*v + 5. What is m(4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3276157 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97 is divided by 40?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*-2*(sqrt(272) + 1)*2 + -1 + (2 + 2*sqrt(1088)*1)**2.\nAnswer: 48*sqrt(17) + 4351","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 164. Let o(q) = -49769*q. Determine i(o(z)).\nAnswer: 2476953361*z**2 - 164","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**2 - 2092*b - 2052142.\nAnswer: 2*(b - 1663)*(b + 617)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.11 + 4.11. Let l = -1.1 + -20.7. Let k = 22 + l. Put k, -4, g in decreasing order.\nAnswer: g, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l - l. Let b(z) = -z**3 + 47*z**2 - 348*z + 230. Let m be b(38). Solve -m*f + f - 5*d = -1, l = 2*f + 4*d + 4 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95581893?\nAnswer: 3, 11, 73, 3607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -497?\nAnswer: -4\/497","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 70924 to the power of 1\/2, to the nearest integer?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/2 of a meter in centimeters?\nAnswer: 3050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -847 + 1023.2. Round g to the nearest ten.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -50656810 to the nearest 100000.\nAnswer: -50700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -16*s**3 + 7*s**2 - 7*s + 21. Let w(y) = -5*y**3 + 2*y**2 - 2*y + 7. Let d(t) = -2*l(t) + 7*w(t). Differentiate d(q) with respect to q.\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15089 + -15070. Solve -s*y - 23 = 15 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 320213 + 1?\nAnswer: 320220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 11*b - 2. Let j be k(-3). Let o be (-130)\/j - 4 - (-296)\/7. Calculate the common denominator of o\/(-27) - (0 + -1 + 4) and -97\/56.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = p + 2701, p - 2699 = -0*h - h. What is h rounded to the nearest 1000?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2158 divided by -50\nAnswer: 1079\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/45*(-513)\/(-6)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 88 * -23.\nAnswer: -2024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -19*a + 551. What is l(29)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*a*l*n*z + a*l*n - 18966*a*n + l*n**2 - l*n + 2*l - 382885*n**2*z - 3*n**2 wrt z.\nAnswer: -2*a*l*n - 382885*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -5. Suppose -2*b + 4*a + 12 = 0, -g*b + a = 6*a - 15. Suppose b*u + 20 = 4*z, 2*z + z - 2*u = 10. Solve z = -2*s + 3*s - 2 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -69298.4 * 573\nAnswer: -39707983.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 81 + -77. Suppose 1 = -z + 6. Suppose -4*b + 19 = 2*d - 13, 5*b - 10 = z*d. Solve 0 = 4*l - f - 15 + m, -l = -2*f + b for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-4) - 6\/3. Let q(b) = 18*b - 1. What is the tens digit of q(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qv when two letters picked without replacement from wwvfwwwwwwvqydwwwvwv?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 216\/96 + (-1498693)\/(-28)?\nAnswer: 53527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a kilogram in grams?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 244*j**5 - 244*j**5 + 2*j**2 + 79 - 315*j**6 - 38*j**6 wrt j.\nAnswer: -42360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 641 is divided by 104.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35\/612 and 17\/8?\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -27 + 31. Solve -j = -0*j + a for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (((-111)\/4)\/3)\/(-6*2\/(-96)). Which is bigger: -75 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -f**3 - 14*f**2 + 11*f + 62. What is v(-15)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -63*m**2. Let x = 1 - -31. Let p(j) = -x + 69 + j**2 - 37. Determine f(p(o)).\nAnswer: -63*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h**2*p**3*u - h**2*p**2 - 2*h*p**3*u - 2*p**3*u - 2*p**3 - 107*p with respect to u.\nAnswer: h**2*p**3 - 2*h*p**3 - 2*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1397747*n**2 - 5348827*n?\nAnswer: 2795494","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.0317 - 3.9683. What is the nearest to -0.1 in -3\/4, i, -0.8, 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-58)\/145*5\/(-3). Factor -2\/9*z**3 - 2\/9 - 2\/3*z - c*z**2.\nAnswer: -2*(z + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 80\/(-16)*(-64)\/(-40).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*t + 3*t + 12, -2*h + 48 = t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = -19*k + 30 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y + 28 = 63*t - 51*t, -5*t + 17 = -3*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -28317\/37724 + 6\/9431. Suppose -12 = -3*n + 3*u, u = -0*n - 2*n - 4. Suppose n = x - 2 - 2. Which is the closest to 2? (a) -0.4 (b) x (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 85*u + 4 + 643*u**2 - 91*u - 4 + 7*u in the form b + a*u**2 + o*u and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 222\/37 + 1114\/(-86) + 12\/(132\/77)?\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -257877 divided by -2\nAnswer: 257877\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 1 = g. Let l be g\/(-18) + 44\/(-6). Which is greater: -6 or l?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.3574 to zero dps.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, 62, -5\/2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -z**2 - z + 2. Let t be r(0). Suppose -t*o = 3 + 5. Let l = -30\/7 - o. Which is the biggest value? (a) 5 (b) -1\/2 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 738 - 376. Let v = l + -363. Let r = 1 - 0. What is the third smallest value in v, 2\/9, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -15*t + 152. Let b be m(10). What is the nearest to -0.5 in 1\/4, 2\/7, -0.5, b?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(600) - (2*sqrt(600) - sqrt(600) - sqrt(600))) + sqrt(600))\/(sqrt(96)\/(sqrt(128) - sqrt(8)) - sqrt(12)).\nAnswer: 15*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/12 and 121\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-8)*d\/d**11*d)**(11\/5)\/((d\/(d*d**(-1\/2)))**(-34)*(d**(-2\/3)\/d)\/d**5) assuming d is positive.\nAnswer: d**(-206\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 167*a**2 + 17*a - 12. Let v be w(3). Suppose 8018 = 40*t - v. Is t a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is g in g**2 - 1\/8*g**3 - 13\/8*g + 3\/4 = 0?\nAnswer: 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 270937021 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 9895 + -9896. Put 4, -43, 2, d, -3 in decreasing order.\nAnswer: 4, 2, d, -3, -43","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.4 + -0.4. Let g = -1086 - -1082. Put g, q, -2 in decreasing order.\nAnswer: q, -2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 30323, 4, -1 in increasing order.\nAnswer: -1, 4, 30323","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 2*w + 5 = 0, -x + 0*x - 7 = 5*w. Suppose -4*i + 127 - 27 = 0. Calculate the remainder when i is divided by x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -158460, -3, -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u - 12 + 6. Let c be (-1)\/2*(-3 + -1). Suppose -6*w + w + 33 = -c*r, 0 = w + 2*r + 3. Sort u, w, 1 in descending order.\nAnswer: w, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 125, 248, 371?\n\"Answer: 123*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 23260363 to the nearest integer?\nAnswer: 4823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 + 4*t**2 + t + 1. Let n be d(4). Suppose n*s = 251 + 389. Does 32 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ubbbbbeuubbee. Give prob of sequence ebb.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 5, q: 3, v: 3, o: 2}. Give prob of sequence qvjo.\nAnswer: 3\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 303926 and -0.007.\nAnswer: -2127.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**2 - 1. Suppose 16 = 10*j - 6*j - 3*a, 2*j + 4*a = -14. Let i(w) = -6*w**2 - w + 2. Determine j*i(p) + 4*s(p).\nAnswer: -2*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.054 and 0.4.\nAnswer: 0.0216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - b + 3*k - 15 = 0, 4*b - 53 = -5*k. Let q be (2\/6)\/1 - (-212)\/(-6). Let i = -13 - q. What is the remainder when i is divided by b?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (7*(-4)\/(-70))\/((-4)\/(-5)). Let f = -0.2 - -1.2. Sort 1\/6, f, r.\nAnswer: 1\/6, r, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -249, -291, -407, -633, -1005, -1559?\n\"Answer: -6*a**3 - a**2 + 3*a - 245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*((-52)\/(-20) + -3). Which is the third biggest value? (a) t (b) 3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -173279929, -346559859, -519839789, -693119719, -866399649, -1039679579?\nAnswer: -1212959509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 40626799?\nAnswer: 1103, 36833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 539, 1800, 4503, 9368, 17115, 28464, 44135, 64848?\nAnswer: 91323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-3 - (5 - -3 - 11))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00282824 to 4 decimal places.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 0.4, -3718, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -57*d**3 - 60*d**2 - 3*d.\nAnswer: -3*d*(d + 1)*(19*d + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3462 and -109\/6?\nAnswer: 3462","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -3*h**2 - 91*h - 196. Determine f(-28).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -55711, -111214, -166715, -222214, -277711, -333206?\n\"Answer: g**2 - 55506*g - 206","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -4, 1, -395, 54, -9 in ascending order.\nAnswer: -395, -25, -9, -4, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 106*m + 102*m + 109*m - 318*m. Let a(s) = 76*s - 5. Let g(z) = 19*z - 1. Let u(o) = 4*a(o) - 18*g(o). Calculate u(y(l)).\nAnswer: 38*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1039595?\nAnswer: 5, 53, 3923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (132\/9)\/(-4)*-3. Let x = 15 - w. Suppose 17 = x*o + 3*s, 2*o - 4 = -4*s + 2. Solve 8 = p - o*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirteen quarters of a meter?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 362.\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(2268\/24)*12\/2.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.3, 0, 6\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of s**2\/2 + s + 8. What is the derivative of y(l) wrt l?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/5 in 5, -0.01, -4\/5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -228*v - 2518. Determine s(-11).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s**5 + 20884*s**4 - 146090*s**3 - 72*s**2 + 751320*s = 0. What is s?\nAnswer: -2, 0, 3, 6, 10435","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*sqrt(72)*1 + sqrt(72))\/(sqrt(8)*-1*3))\/(-1*-2*sqrt(3) + (sqrt(108) - (sqrt(108) + sqrt(108)*-3 + sqrt(108)))) + 4.\nAnswer: -2*sqrt(3)\/21 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8 - 3. Suppose -5*v - 5 = f*d, -2 = -5*v - d - 3. Suppose -k = -v*k - 15. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - 3. Let g = 5 + i. Is 9 a factor of g\/((-3)\/48*-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*i**3 + 2 - 3 + 9*i as s*i**3 + x + z*i + t*i**2 and give z.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3277.\nAnswer: 29, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/84 and 37\/24.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of 44*q**7\/35 - q**6\/180 + q**5\/60 - q**4\/24 - 7*q**3\/2 + 16*q. Let s(w) be the second derivative of j(w). Is s(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 2. Let i be q\/(1 - 2\/6). Let s = -0.25 - -1.25. What is the smallest value in i, s, -0.5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 67209.295 to the nearest one thousand.\nAnswer: 67000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -67*o - 61*o + 128. Solve 0 = 3*p - 2*h - 11, 2*h = 2*p - p - o for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (13 + -15 - (-13 + 6)).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -350.7 in 2\/9, -1\/2, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + -1 + sqrt(162))**2 - sqrt(300)\/(sqrt(66)\/(sqrt(11)*3) + sqrt(6)).\nAnswer: 417*sqrt(2)\/4 + 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4067 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of (-249)\/(-2739) + 3079\/11 and 80?\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-3\/4)\/q**(-7)*(q\/q**(-2\/3))\/q**6)\/(q**(-5)*q**(-1)\/q)**46 assuming q is positive.\nAnswer: q**(3887\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*m - 12*m - 4 = 0, -3*m = -j + 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7\/210*-6)\/(28\/10)\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tuyu when four letters picked without replacement from qupuuuuyuquttq.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -114, -1\/5, 2\/29, -67?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (t - 2*t + 0*t)*(t - 3*t - 4*t)*(-3 + 4*t + 3) as n*t**3 + d*t + y*t**2 + h and give n.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (3*sqrt(35)\/(sqrt(7) + sqrt(252))*-2)**2.\nAnswer: 425\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u**2 - 6*u - 3. Suppose 3*o + 0 = -3*h + 30, -5*h = -4*o - 23. Let q be l(h). Let n(x) = -11*x**2 - 4*x - 6 + 5 + 12*x**2. Give n(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 11:39 AM?\nAnswer: 11:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 - 20*p**2 + 78*p.\nAnswer: -2*p*(p - 3)*(p + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 4, z: 2, y: 2, c: 2, b: 1, w: 4}. Give prob of sequence zebe.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the third derivative of l**5\/30 - 7*l**4\/2 + 147*l**3 - 123*l**2 - 2*l. Factor a(x).\nAnswer: 2*(x - 21)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1123\/30 - -104\/15. Find the common denominator of 71\/10 - (-2)\/(-1) and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j - 4. Let g be s(-2). Let n be (4\/1)\/2 - g. Let l be 2*(n + -2) - -13896. Round l to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + 1 - 5\/5. Suppose -3*y = 5*k - 492, 0*k = 3*k + d*y - 308. What is the greatest common divisor of 12 and k?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:21 PM and 5:27 PM?\nAnswer: 126","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1580 - 1575)\/(525\/(-56)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2.536 and -687.\nAnswer: -1742.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -6 - (7 + -2 + -1 + -2)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (13 - (6 - (12 + -7))) + 4 + -34\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.5 and 131.\nAnswer: 131.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are 14\/181 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9646, 9650, 9654?\nAnswer: 9658","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 52984 and 407?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 86*k**3 + 53*k**3 - 34*k**3 + 100*k**3 - 1162*k**2 wrt k?\nAnswer: 1230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 7, -1\/3, 2\/3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sum -49.5 and 0.02.\nAnswer: -49.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -3*g - 6. Let m(u) = 5*u + 11. Suppose 329*v + 2027 = -227 - 1365. Determine v*d(w) - 6*m(w).\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 2*i**3 + i**2 - 8*i + 3. Let g be k(2). Solve 5 = -g*w - 9 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -54\/11 + 529\/110. What is the nearest to -0.1 in -2, p, -4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -384344*h - 32. Let u be z(-3). What is u rounded to the nearest one hundred thousand?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68182612 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 5*k**2 + k - 3. Let u(v) = -2*v**3 + 2*v**2 + 5. Let f(b) = -b**3 + b**2 - 2*b + 2. Let j be f(1). Let p be u(j). Calculate y(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -235714 + 235714 - 20*c**3.\nAnswer: -20*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 6, s: 2}. What is prob of picking 3 e?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.02 + 0.28. Which is the second smallest value? (a) i (b) 24 (c) 3 (d) 0.5 (e) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 515279 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does -237 = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*m - 1 + 0 + 2 as t + x*m and give x.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b*b\/b**(-6\/5))**(1\/27)\/(b**(-1\/16)\/((b**(-29)*b)\/b)) assuming b is positive.\nAnswer: b**(-20723\/720)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40 + -51 + 0 + (2 - (-2 - 2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y - 23. Let h(b) = -3. Let d(l) = -20*h(l) + 5*n(l). What is the least common multiple of 72 and d(-14)?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 1\/3, 2, -1\/2, -1\/6?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24073 is divided by 8010.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (5\/1*-1)\/(-1). Suppose -4*u = -3*a + 6, -3*u + 2 = 3*a - 2*a. Suppose a*s - p*q = 32, -s - q = 3*s - 108. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6757962909.00000214 - 6757962717. Let x = -192.059 + 0.059. Let m = s + x. What is m rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 2*y**2 + 23*y + 17. Let j(q) = -3*q**2 - 35*q - 25. Let p(o) = -o**3 - 3*o**2 - o - 12. Let x be p(-4). Let c(r) = x*l(r) + 5*j(r). Give c(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*q - 3 - 4 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 544 + -237. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (8\/(-6))\/(8\/(-120)) and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58387 = -1414*t + 20797 for t.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 379168 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6786665 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z**5 - 3*z**4 - 64*z**2 + z. Let u(w) = w**5 - 13*w**2 + w + 14*w**2 - 2*w. Let f(x) = -m(x) - u(x). What is the third derivative of f(d) wrt d?\nAnswer: 120*d**2 + 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) be the third derivative of n**7\/210 + 43*n**6\/30 - n**5\/30 - 35*n**3\/2 + 3*n**2 - 19*n. What is the third derivative of s(j) wrt j?\nAnswer: 24*j + 1032","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a micrometer in nanometers?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, y: 9}. Give prob of sequence tttt.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 924039?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-8337)\/6)\/7*-2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 7*g. Suppose g*l + 165 = 3*l. Let h = l + -24. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1642170 and 81130?\nAnswer: 701206590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/2 of a kilometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:28 AM and 1:22 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in 0.186, 1\/7, -0.1, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/9 + 29648772*s - 988930891246482.\nAnswer: -2*(s - 66709737)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 50150 - 19121. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 3*j**5\/20 - 17*j**4\/4 + 91*j**3\/2 - 441*j**2\/2 - 73*j - 54. Let u(y) be the first derivative of f(y). Factor u(n).\nAnswer: 3*(n - 7)**2*(n - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, q: 7, j: 5, l: 1, p: 4, i: 2}. Give prob of sequence pq.\nAnswer: 7\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -609*c = -3*a - 610*c + 16, -336 = -a - 11*c for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 475*r**4 - 172415*r**3 + 657095*r**2 + 7687535*r + 161550 = 0. Calculate r.\nAnswer: -5, -2\/95, 9, 359","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9346 is divided by 948?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the second derivative of 0*j**2 + 2\/15*j**6 + 11*j + 2\/3*j**4 + 0*j**3 + 0 + 3\/5*j**5. Factor q(x).\nAnswer: 4*x**2*(x + 1)*(x + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**3 - 5*r**2 + 4*r - 1. Suppose -4*x = -5*x + 3. Let t be l(x). Let o = t - -111. Calculate the highest common divisor of 20 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 - 5*u + 8. Let r be j(4). Suppose -5*x = r - 49. Solve -5*w + 4*d = 12, 4*w + x = 5*w + 3*d for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -44904.54201 rounded to the nearest integer?\nAnswer: -44905","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101 - 113 = -4*d. Let s(r) = 7*r + 9*r**2 + 4*r - 6*r + 9 + r**d + 5*r. What is s(-8)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 964664406?\nAnswer: 2, 3, 151, 257, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/2 - 3)\/(1 - -1). Suppose -12 = -4*x + x. What is the second derivative of n - 2*n + 0*n + s*n**4 - 4*n**x wrt n?\nAnswer: -48*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by 48922?\nAnswer: 1\/48922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -4*z + 434, 34*z = -4*r + 32*z + 352. Let y be (-1)\/2 + -9*(-5)\/r. What is the nearest to 0.2 in 5, y, -0.03?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 711*c - 397*c + 2558 + 2341 = 385*c for c.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-11 - -10)\/(2\/4). Let b be (-36)\/8*c + 2. Suppose -2*s - b*s + 30017 = 0. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the second derivative of l**6\/20 + 65*l**3\/6 - 6*l**2 + 148*l. Let w(y) be the first derivative of b(y). What is the derivative of w(a) wrt a?\nAnswer: 18*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 - (-2 + 0) - -3) + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) be the second derivative of -l**4\/6 + 5*l**3\/6 - 4*l**2 + 17*l + 1. Let q(y) = 2*y**2 - 4*y + 7. Give 5*f(h) + 6*q(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - v = 4, 3*h + v = 158. Let c = h + -40. Is c a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 + 5.8. Let o = -0.80203 + t. Round o to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 402410650?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 3*p - 9 = 0, 0 = 4*r - 3*p - 2*p - 13. Solve 2*h - r = 4 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39 is divided by (1 - 6)\/((-16)\/(-256)*-10)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -30*t**3 + 30808*t**2 + 3*t**4 - t - t**4 + 6 - 30809*t**2 in the form z*t + r*t**3 + p*t**2 + v + q*t**4 and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 888?\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 - -5. Suppose -2*h = 22 - 2. Let u be (s - 1)*1 - h. What is the highest common factor of u and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 8*t**2 - 7*t + 25. Let f be x(-9). Calculate the highest common factor of 21 and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 62757039 and 40161?\nAnswer: 690327429","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 493 - 187. Calculate the lowest common multiple of 18 and i.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 3\/2*f**4 - f**3 - 6*f**2 - 1\/4*f**5 + 8*f + 0 = 0.\nAnswer: -2, 0, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z - 2. Let f(u) = u - 2. Let s(w) = 8*w - 17. Let q(d) = -6*f(d) + s(d). Calculate -8*j(p) + 3*q(p).\nAnswer: -2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -2*f**3 - 3*f**2 + 3*f - 1. Determine h(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 3) in base 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 10 - (-8 + 5 + 7). Which is the nearest to -1? (a) -2 (b) 3 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 12:39 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4620893*a**5 + 10361914*a**2?\nAnswer: 277253580*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 7*p**2 + 5*p + 10. Let x be r(8). List the prime factors of 1\/(40\/x + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20879053 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 5*d = 8 - 31, 0 = 3*d + 12. Let j be ((-2)\/3)\/(3\/9). Sort 3, c, j in descending order.\nAnswer: 3, c, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 99408 and 4560?\nAnswer: 912","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*a + 246*a + 1855 + 12925 = 809*a for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -496.92 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 48729 - 48718. Let v = 698 + -247. Calculate the greatest common divisor of v and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2*b*y**3 - 4559409*b*y**2 + 11*y**3 + 669058*y**2 wrt b?\nAnswer: 2*y**3 - 4559409*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1108358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 14924 and 74619\/5 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 487734421?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 5:15 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3905994)\/(36\/(-6)) - -1. What is w rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, -1\/2, -218, -0.42?\nAnswer: -0.42","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.4 - 0.6. What is the nearest to z in 1\/9, -4, -14?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of 51*g**2\/2 + 5737. Let w(s) = -25*s**2. Determine n(w(k)).\nAnswer: -1275*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minus 12424446?\nAnswer: -12424383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 2697, 21528, 72615, 172086, 336069, 580692, 922083?\nAnswer: 1376370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y*y*y**(-14)*y*y*y))**(-7\/3) assuming y is positive.\nAnswer: y**(-70\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-183)\/(-122))\/((-81)\/12)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -339.4 - -339.2. Put -96, 4, h in increasing order.\nAnswer: -96, h, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10 - 5) + -23*(-1)\/(-5).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 83\/3 + -28. Which is the closest to 2\/5? (a) 2\/7 (b) s (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 4*m + 4, 3 = l + 3*m - 10. Suppose 133 = 5*r + 3*d - 779, 0 = -l*r + 2*d + 734. What is the hundreds digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 37 - (-2 + 3) - 0. Suppose m = -4, -164 = -w + 4*m - u. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 69220.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-four fifths of a century?\nAnswer: 10560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -98\/9*p**3 + 0*p + 0*p**2 + 0 + 2\/9*p**4 = 0.\nAnswer: 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 96450570.\nAnswer: 2, 3, 5, 179, 5987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 44*c**3\/7 - 270*c**2\/7 - 272*c\/7 + 6.\nAnswer: 2*(c - 7)*(c + 1)*(22*c - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c4a5 - -4?\nAnswer: c4a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1011111 + 110?\nAnswer: 1100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (10 + -13 - -6) + -3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -113 - 42 + 13*g - 18*g + 179*g**2 + 5*g wrt g.\nAnswer: 358*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*j\/(j\/(j*((j\/j**(1\/2))\/j)\/j))*j))\/j**(2\/25))\/(j**1*j)**(-5)*(j**(-4\/9)\/((j**(-1\/8)*j)\/j))**(-26) assuming j is positive.\nAnswer: j**(15953\/900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 4 and -380447579715.75.\nAnswer: -380447579711.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**16)**(3\/13)*y**(-32)\/(y*y**(1\/36)) assuming y is positive.\nAnswer: y**(-13729\/468)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 44914207 a multiple of 223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 9, g: 2}. Give prob of sequence gn.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 5*n = -0*n, 3*n - 9 = 0. Let o = 6 + -4. Let g be o + 12\/l - 0. Is g at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -0.4 (b) 34849 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 1343 = -684 - 680. Let a(m) be the second derivative of 5\/2*m**2 + 0 + 19*m + 1\/3*m**t. Calculate a(4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121102 + -1010022201?\nAnswer: -1001201022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a*c**4*h + 13*a*c**3*h + a*c**2*h - 8*a*c - 765*c**4 - c**2*h + 13*c**2 - 40*c wrt c?\nAnswer: -48*a*c*h + 78*a*h - 18360*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**3 + 6*u**2 + 4*u - 9. Let o be c(-5). What is the units digit of -39*(-3)\/9 - o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.02 + 1.98. Let j = 0 + w. Let p = 184\/455 - 2\/455. What is the closest to p in j, 2\/5, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 67. Suppose -5*y = -m*f + 8 + 4, 2*y - 16 = -4*f. Suppose -3*n - 2*d + 4 = 2*n, -n = -5*d - 17. Solve 3*h - v + 2*v - n = y, -2*h - v = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 22\/17*s**2 + 64\/17*s + 56\/17 + 2\/17*s**3.\nAnswer: 2*(s + 2)**2*(s + 7)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d - 7*d + 177 = 0. Suppose 0 = -h + 4*i + 59, -3*h + i = 6*i - d. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 456, -4, 3, 0 in descending order.\nAnswer: 456, 3, 0, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-88)\/(-12))\/(-2) - 4\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 80*r + 56. Let p(h) = 319*h + 220. Let v(a) = 55*f(a) - 14*p(a). Let x(l) = 22*l. Give 4*v(q) + 11*x(q).\nAnswer: -22*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least -16\/2367?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1958584 is divided by 809?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*v + 2*v - r - 37, v - 3*r - 16 = 0. Let x be -3*(0 + (-9)\/(-3)). Let u = v + x. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44073219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*m, 0 = -4*w - m - 0*m + 15. Let v(c) = 5*c**2 - 3*c - 3. Let l(p) = -6*p**2 + 3*p + 3. Let r(a) = 4*l(a) + 5*v(a). Calculate r(w).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 - 83731297.738\nAnswer: -83731298.238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -25, -43, -61, -79?\n\"Answer: -18*c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -5, 14311 in ascending order.\nAnswer: -16, -5, 14311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 33120 and 777630.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 3*y + 7. Let w be g(7). What is the common denominator of w\/(-4 + 6\/3) and -31\/10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**0\/z)*((z\/(z\/z**0))\/z)\/z)**(-2\/103)*((z**(-1\/4))**(-7))**50 assuming z is positive.\nAnswer: z**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (8\/10)\/((-12)\/(-600))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -896736 divided by 224184.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 15*i + i.\nAnswer: -14*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45468924 divided by 47963.\nAnswer: -948","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*o**5\/3 - 7199*o**4\/3 + 13919*o**3 - 79846*o**2\/3 + 46588*o\/3 + 2168 = 0. What is o?\nAnswer: -3\/26, 2, 271","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + w = -723, -4 = -4*w + 4. Let v be (3\/1 - -3) + -1. Suppose 0 = k + 2*k - 15, -v*d + b = 4*k. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -15, -14, -11, -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130659299?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -14. Suppose q*f = 0, -3*u - 4*f = f. Let c be (u - 0)\/(14\/7). Solve c = 4*b - 2 - 2 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5894353.\nAnswer: 5894353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2962049?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -100000111001010?\nAnswer: 100000111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 391.3704 to zero decimal places.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7602 (base 8) to base 4.\nAnswer: 332002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 44 minutes before 10:20 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(-90 + 42 - 78)*(3*m**3 - 3*m**3 + 2*m**3).\nAnswer: -252*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z - 9 + 25 = 0. Let k be (34\/(-60)*z)\/((-2)\/24). Let u(v) = 3*v**2 + v. Let t be u(2). Which is smaller: t or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -2*f - 22, 6*f - 4*x = -85 + 19. Let j(g) = g**2 + 23*g + 123. What is j(f)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.10115 to two dps.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 1\/2 (c) -4 (d) 0.009\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -1\/5 (c) 2\/17 (d) -3 (e) 1.05 (f) 4 (g) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -423*l + 58 - 440*l + 863*l - 232*l**3 wrt l?\nAnswer: -696*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-84)\/(-9) + 1\/(-3). Does 14 divide (-20)\/((24\/f)\/(-4))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 673*a**2 + 681*a**2 - 1351*a**2.\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1.53423 bigger than 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 3, -4486.\nAnswer: -4486, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -77725 + 32?\nAnswer: -77683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2316918 divided by 1158459?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 + 16*o**2 - 21*o - 8. Calculate the remainder when h(14) is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 - 23?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10.4 - 9.6. Let y = -20.7 - h. Suppose 0 = -4*r + 2*r + f + 10, 18 = 5*r + f. Which is the smallest value? (a) y (b) r (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 3*d - 10. Let g be p(-4). Solve 27 = 4*c + 5*r, -3*r - 2*r = c - g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1650 is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 10, q: 2}. Give prob of picking 2 e and 2 q.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 750004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/2)\/((-13)\/(-390)). Suppose 52 + 11 = -3*u. Let f = u - -36. What is the highest common factor of f and s?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g - 1. Let k(n) = -117 + 130 - 2*n - 12*n. Let f(d) = -k(d) + v(d). Let q(b) = 5*b - 5. Determine 6*f(r) - 17*q(r).\nAnswer: 5*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -5*y, -v - 5*y = -0*v + 5. Suppose 2*m + 48 = 56. Solve v = l + m*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-9)\/n)\/n)\/n*n**(-1\/4)*(n**(-1))**(-2\/7) assuming n is positive.\nAnswer: n**(-335\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.038972903 to 1 decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 319 = 301. Solve -3*r + 12 - p = 0 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-h - 2 + 2)*(0*h + 8*h - 3*h) + h**2 + 0 + 0 + (4*h + 0*h - 3*h)*(5 - 2*h - 5) + 57*h**2 + 20*h**2 + 29*h**2.\nAnswer: 100*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from rxrrxxxxxrrrx.\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 755665 - 324774. Let b be 9170787\/(-38)*(-8)\/(-12). Let a = w + b. Round a to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/63012 and 157\/33108.\nAnswer: 1953372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 4*i**2 - 6*i - 1. What is l(-4)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s - 4*s + 2*s)*(-2*s + 3*s + s) + 135217*s - 537*s**2 - 135217*s - s**2 + 0*s**2 - s**2 in the form m*s**2 + r*s + y and give m.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -20671 - 43315?\nAnswer: -64206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 28115 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 3 + -14 + 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 - 1384*c + 118816.\nAnswer: 4*(c - 188)*(c - 158)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -11111?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 656 = 14*n - 11958. Is n a multiple of 53?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-4) - (-18)\/4. Suppose -n*f + 9*f = 0. Suppose 4 = c - f*c. Solve -b = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -87 - (35 + 30 + -118)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 33, -3 in decreasing order.\nAnswer: 33, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 divided by 481194?\nAnswer: -22\/240597","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 186367908.\nAnswer: 2, 3, 31, 227, 2207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 6:15 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 + (-10 - (-46 + 12 + 16)).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -130*c - 15. Is s(-5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of t**4\/3 - 25*t**3\/6 + t**2. Let w be ((-6)\/(-4 + 1 + -1))\/(3\/10). Let u be o(w). Is u greater than or equal to 13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/1134 and -5\/567.\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 6)*(17 + 25 + 14)*(2*k - 3*k + 0*k)*(4*k - 3*k - 4*k + (0*k - k + 0*k)*(5 - 5 + 1)) to the form z*k**2 + q*k + h and give z.\nAnswer: 896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 20914?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2*u**2 - 2*u - 2. Let o(z) = 2*z**2 - 5*z + 6. Let k be o(3). Let r(d) = -5*d**2 + 5*d + 4. Give k*p(n) + 4*r(n).\nAnswer: -2*n**2 + 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 - -61. Which is the smallest value? (a) x (b) 2 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 170397476 a multiple of 2993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 - 0 - -5)\/(-1). Let w = h + 8. Let t(o) = -107407*o**3 - 5*o + 4. Let r be t(w). What is r rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4 + 4*z**3 - 4*z - 2.\nAnswer: 2*(z - 1)*(z + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -2*t**2 + 9*t + 30. Let d be m(-2). Calculate the highest common divisor of d and 1312.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303012360 by 1016820.\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 10155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*p - p - 2*p to the form j*p + t and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k + 4*k - 22508 - 22504 + 45032 + 2*k - 3*k.\nAnswer: -k + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o. Let v(l) = -2*l + 1. Let p(g) = 5*n(g) + 2*v(g). Let b be ((-4)\/5)\/((-10)\/25). Suppose -12 = b*t + 2*t. What is p(t)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -591 in 3, 95, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -20*o. Let s(l) = 1716*l**2 - 84*l + 2100. Let c(f) = -101*f**2 + 5*f - 125. Let u(t) = -84*c(t) - 5*s(t). Calculate k(u(n)).\nAnswer: 1920*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 44, 102, 178, 278, 408?\nAnswer: 574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6 - (1 - 1)\/(-2). Suppose -3*t - y = -24. Let b(w) = -w**3 + 5*w**2 + 7*w - 3. Let a be b(t). Solve -a*v = -2*v + 5 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -16, -33, -54, -79, -108, -141, -178?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 147268.94 rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*x**2 - 5*x**2 + 4*x**2 - 5*x**2 + x**2 + 0*x**2 + (0*x + 2*x + 0*x)*(2*x + 2*x - 5*x) - 5 + 5 - x**2 + x**2 + x - x.\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 525 - 1537*i + 763*i + 774*i + 5*i**3 - 2*i**3 - 7*i**3.\nAnswer: -4*i**3 + 525","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -23*n + 25. Let q be y(1). Let x(k) = -2*k - 1. Let u(a) = -2*a**2 + 15*a + 5. Let m(h) = -u(h) - 6*x(h). Calculate m(q).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -254 at most as big as -254?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n**3 - 5*n**2 + 5. Let b be k(5). Suppose 21 = m - 4*a, b*m + 0*a = -5*a + 5. Factor m*i**4 - 4*i**2 + 2*i**2 - 3*i**4.\nAnswer: 2*i**2*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 0*u - u**2 - 2*u + 2*u. Let l(v) = -7*v + 14. Let n(g) = -10 - 2*g - 13 + 28. Let w(x) = 5*l(x) - 14*n(x). Determine i(w(y)).\nAnswer: -49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 134994720?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 4 - 3091*t**2 - 736*t - 618*t**2 + 736*t as n + q*t + k*t**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(3))*-4 - (-3 + (sqrt(15)\/sqrt(5) - sqrt(3))))*-6*-6)**2.\nAnswer: 51840*sqrt(3) + 94608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6590271.\nAnswer: 3, 17, 129221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -301510522 (base 6) to base 2.\nAnswer: -10011100011011011110010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/3 (b) -5 (c) 1.3 (d) 112\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 p when three letters picked without replacement from blzpizizzblpil.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (2 - -6 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**4 - 2*l**5 + 3*l**4 + (8*l**4 + 8*l**4 - 4*l**4)*(l + 3*l - 5*l).\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.15747 and -476.4.\nAnswer: -75.018708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(((-12)\/(-1))\/(-4)*1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 63\/(-6)*(-4)\/12*2. Let h(j) = -35*j. Let f be h(-1). Calculate the greatest common divisor of n and f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26\/3 or -0.125?\nAnswer: -0.125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40 - 34. Which is smaller: 2 or i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (450\/(-1050))\/(12\/(-35)).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -140 divided by 35\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -57\/18127136 and -17\/10464.\nAnswer: 54381408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17.965 from -86.\nAnswer: -68.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-28 + 4))\/((-3)\/(-24)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 15. Does 2\/15 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 8) to base 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-714 - 989 + 244)*(4*z**2 - 5*z**2 + 2*z**2) to x + l*z + w*z**2 and give w.\nAnswer: -1459","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 193413.8 + 1148784?\nAnswer: 1342197.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.48892577 rounded to zero dps?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1855, -3705, -5551, -7393, -9231, -11065, -12895?\nAnswer: -14721","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*k**2 + k**2 + 0*k**2)*(-449 - 45*k - 453 + 900)*(0 - 1 + 2 + (3 - 5 + 3)*(1 + 1 - 4)) to the form g + s*k**3 + h*k**2 + a*k and give s.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**3 - 8*d**2 + 8*d + 2. Let g be z(7). Suppose -j - 5 = 4*j, -4*v = -5*j - 13. Suppose -y = -v*y + g. List the prime factors of y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -450*v + 956. What is the thousands digit of q(-43)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4066.3 - -4066. Which is the nearest to 1? (a) r (b) -1\/5 (c) 2\/397\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s + 1307293 + 3260695 = -1696072. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 20927?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -5*t, 3*g - 18 = 5*t - 2. Does 18 divide (-13)\/g*(-4 + -2) + -3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the third derivative of 0 - 1\/45*y**7 + 2\/9*y**3 - 1\/20*y**6 + 1\/4*y**4 + 1\/18*y**5 + 0*y + 3*y**2. What is b in l(b) = 0?\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -16*a**3 - 5*a**2 + 11*a - 5. Suppose 0 = -4*q - 4*q + 56. Let z(b) = 3*b**3 + 2*b**2 + 3*b + 1 + q*b - 12*b - b**2. Give 2*n(m) + 11*z(m).\nAnswer: m**3 + m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 237430 - 237422. Suppose -q + 4 = -3*q - 2*i, -4*q + 2*i = -22. Solve q*r + 3*d + p = -r, d = -3*r - 11 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 16403 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find u, given that 69*u**3 - 792076122*u**2 + 68876184*u = 0.\nAnswer: 0, 2\/23, 11479364","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 105*f - 46. Suppose -t - 3*x + 4*x + 1 = 0, 4*t = 3*x + 5. Is k(t) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -2409*a + 244. Let n(q) = 1204*q - 133. Give 11*n(d) + 6*v(d).\nAnswer: -1210*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -27*((-9)\/5 - (-68)\/85). What is the greatest common factor of 243 and t?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3 + (-20)\/8)*0. Suppose -5*u = -q + 85, -3*q + s*u = -u - 185. What is the highest common divisor of q and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**5\/60 - 5*d**4\/8 + d**3\/3 - 7*d**2. List the prime factors of j(-6).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.09 * -0.024.\nAnswer: -0.00216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 319450?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 1 + 9 - 732*f**2 + 2.\nAnswer: -732*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or 44\/9?\nAnswer: 44\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**3 + a + 1. Let f(v) = 0*v**5 + 1 - 8 - 7*v + v**5 - 8*v**3. Let q = 36 + -34. Let d(y) = q*f(y) + 14*s(y). Let d(x) = 0. Calculate x.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(-24) - (-946)\/(-16). Let q = -30 - l. Suppose -3303*h - 15 = -3298*h. Sort q, h, 5, 0 in increasing order.\nAnswer: h, 0, 5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the second derivative of 3*g**5\/20 - 3*g**4\/4 - 4*g**3 + 3*g**2\/2 - 14*g - 3. What is the second derivative of v(k) wrt k?\nAnswer: 18*k - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/28*10\/(-5)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w = -5*c + 50, 93*c = 98*c - w - 25 for c.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 3*c + 7 = 3*m, 2*m = -2*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 15\/6 + 2\/4. Let a(o) = -o - 2. Let v(h) = 2*h - 7. Let t(i) = 3*a(i) + 3*v(i). Let l be t(11). Solve -15 = -c*p - l for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*x - 3. Let b = 3 + x. Suppose 0 = 19*d - 1 - 37. Solve -b = d*z + 2 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/15 (b) -2\/303131 (c) 0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hx when two letters picked without replacement from hxh?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 419.02 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3 - (-1 + (3 - 1)). Let q be (-62)\/(-22) + u\/11. Find the second derivative of 6*v + 10*v**3 - 9*v**q + 6*v**3 wrt v.\nAnswer: 42*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1745 divided by -362?\nAnswer: 1745\/362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = x + 7. Let w be m(7). Find the first derivative of 27 - 23 - w + 2*n wrt n.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-40)*(-8)\/60)\/(30\/(-25)).\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-126008)\/57*168\/(-32).\nAnswer: 2, 7, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26 + 26.13. Let m = f - -0.37. Let u = 0.16 + -4.16. Sort m, u, 2\/5.\nAnswer: u, 2\/5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(54))\/sqrt(3))\/(sqrt(9)*4*-4).\nAnswer: -sqrt(2)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/(-4) - ((-667)\/4 - -5). Let q = -167 + y. What is the second smallest value in -20, 3\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p + 4*p + 734586. Let i = p + 2690481\/11. Let d = i + 273. Which is the third biggest value? (a) 7 (b) 3 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 65.5757 millennia in months?\nAnswer: 786908.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 4. Let n be j(5). What is the least common multiple of 5\/2*(-1 - (-94)\/10) and (-8)\/12 + 166\/n?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(84) + (-5*(sqrt(84) + 2*sqrt(84)) - sqrt(84)) - sqrt(84)) + (sqrt(84) - (sqrt(84)*2*2 + sqrt(84))))\/(sqrt(768) - -4*sqrt(768)*3).\nAnswer: -5*sqrt(7)\/26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (9756 + -6)\/(6\/1760). Round r to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 350\/84 - (-10)\/12.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*j**2\/7 + 1241392*j - 52138536\/7.\nAnswer: 2*(j - 6)*(j + 4344878)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18260147.\nAnswer: 31, 73, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qk when two letters picked without replacement from {y: 5, q: 2, c: 3, i: 1, k: 8, p: 1}.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-14 - ((4 - 4) + 0 + -11))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 502*w + 2346 = -40005 - 7347 for w.\nAnswer: -99","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(12)*2)\/((1*sqrt(32))\/sqrt(8)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in -4, 13, 0.5, 5, 1143, -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 27*d**2 + 15*d + 10. Let z(m) = 31*m**2 - 2*m + 28*m**2 + 31*m**2 - 89*m**2 + 2. Let n(g) = r(g) - 4*z(g). Find the second derivative of n(c) wrt c.\nAnswer: 46","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 355796981 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 7*w + 4. Let g be i(-6). What is the highest common factor of g and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -3*h**3 + 6*h + 304. Let q(f) = 2*f**2. What is q(m(a))?\nAnswer: 162*a**4 - 216*a**2 + 72","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -4*c - 10*c + 6*c**2 - 6*c - 4. Let s(k) = k**2 - k - 1. Let y(g) = -4*s(g) + z(g). Find the second derivative of y(u) wrt u.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -5d91?\nAnswer: -5d8e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5786*y**2 + 3422*y + 22. Let s(z) = -1927*z**2 - 1141*z - 8. Let u(i) = -11*s(i) - 4*v(i). Find the second derivative of u(l) wrt l.\nAnswer: -3894","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2291*z - 37653 - 115844 = 0 for z.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 368648306 to the nearest integer?\nAnswer: 717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 575.99999991 - 576. Round u to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 3*b - 2*b)*(-2 + 3 + 0) + (0 - 2*b + 0)*(2 + 3 - 7).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 42346895*i**3 + 4*i + 7440343 wrt i.\nAnswer: 254081370*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -0.4, 111?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 24. Let i(m) = 17*m + 15*m - 43*m + 12*m + 18. Let l be i(y). Solve -n - 4 = 4*t, -l = -4*n - 0*t + 5*t for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + z = 6, 4*z = -2*h - 3*h + 12. Let o = -3 + h. Suppose -o = j - 2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4.62 * -24\nAnswer: -110.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -3, 16, 4, -161 in descending order.\nAnswer: 16, 6, 4, -3, -161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 9 = -u, -3*u - d + 48 = -21. Suppose 3*l = -3*l + u. Let x = l + 2. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2867 - 2865. Solve c + 14 = -5*t, 13*t + y*c = 9*t - 16 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13 = 5*f - 5*r + 3, -f + 3*r = -10 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttjt when four letters picked without replacement from tttjttjttttt.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -18*o + 1. Let k(j) = j + 1. Calculate -k(y) + r(y).\nAnswer: -19*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 652 minutes after 3:53 PM?\nAnswer: 2:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 4*j - 126, -10*j + 14*j + 394 = 3*d. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 120392 is divided by 215.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3757 - -0.0757. Which is the third smallest value? (a) 0 (b) -12\/5 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36*0.10191\nAnswer: -3.66876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.070359 and -0.613671.\nAnswer: -0.543312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 - 15. Let g be (-1)\/3 - n\/6. Calculate the greatest common divisor of 12 and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 5 - 13, 3*f + i = 46. Let j be ((-2)\/4)\/(3\/(-30)). Solve 4*n - f = 4*r + 8, -24 = j*r - 3*n for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -2*l**2*x**2*z**2 + 11*l*x*z**2 + 99*x**2*z**2 + 11*x**2*z wrt l?\nAnswer: -4*l*x**2*z**2 + 11*x*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 189431 (base 10) in base 16?\nAnswer: 2e3f7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 2303255*q - 2303250.\nAnswer: -5*(q + 1)*(q + 460650)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1936*i**2 + 1937*i**2 - 115 - 87 + 1927*i**2 - 5797*i**2.\nAnswer: 3*i**2 - 202","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/64 of a hour?\nAnswer: 56250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*g + 1 - 60*g - 1 - 55*g.\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1775 is divided by 89?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5*z + 41, 2*z = 3*f + f - 62. Suppose 0 = -f*h + 13*h + 4. Suppose -4*a + 32 = h*n, -n + 18 = -0*n + 3*a. Sort 5, n, -2 in decreasing order.\nAnswer: 5, n, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41020569.\nAnswer: 3, 23, 53, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*i**5 + 2*i**5 - 18*i**4 + 0*i**4 - 6 - 10 - i**4 - 2*i**2 wrt i.\nAnswer: 300*i**2 - 456*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = 4*d - 5*v + 18, 2*d = 2*v - 14 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -114 - -117.15. Round v to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -41350?\nAnswer: 41354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-2*2)\/((-14)\/7)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 75 - 75. Solve 2 = -2*q - z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -40*p + 209*p - 20280. What is the remainder when 195 is divided by p?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*v + 84, -5*l = -0*l - 2*v + 91. Let w = l - -21. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 42 = -0*f - l, 4*l = -f + 27. Suppose -80 = -f*q + 7*q. Let m(p) = q*p + 0 - p**2 - p + 6 - 8. Calculate m(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in y**2 - 6954573764*y - y**3 + 6954573764*y - y**2.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 4:55 PM?\nAnswer: 4:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1*4)\/(38\/(-57)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1568 divided by -14.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-352)\/952 + 3\/7)*-4?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 122200022000021 (base 3) to base 16\nAnswer: 8f59c6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 20*g**4 - 4*g**2 + 8*g. Let t = -26 + 31. Let d(p) = 19*p**4 - 5*p**2 + 9*p. Let c(v) = t*j(v) - 4*d(v). Find the second derivative of c(k) wrt k.\nAnswer: 288*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f**2 + 3*f. Let k be 1\/((-2)\/(-4*2)). Suppose -k*o + 0*o = -120. Let a be -3*(o\/9)\/5. Calculate h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-12)*v*v*v**3)\/(v**(-6)*v)**(-31\/3))**(-3) assuming v is positive.\nAnswer: v**176","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*x = -27*x - 8030. What is x rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - 0 - (0 + -4). Suppose -20 = -5*u + 2*q, -7*q = -5*q + 10. Let g(n) = 61*n**u + 1 - 119*n**2 - n + 63*n**2. What is g(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 <= -84\/2075?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -23\/293626?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**2 + 3180*d + 454772. Give k(-137).\nAnswer: 343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + 1 - (-7 + 2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 123c6 - -4?\nAnswer: 123ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fffffsfsfsfsfssffsf. What is prob of picking 2 f and 2 s?\nAnswer: 231\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -3\/2 (b) 9406 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 0 + 6)*(h**2 - h**2 + 2 - 3*h**2) to the form i*h**2 + r + f*h and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-23 - -8) + 16 + -6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a century in decades?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -109*c + 21. Calculate r(0).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -111.0509 - -0.0509. Let d = n - -111.000002965. What is d rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 9 = -29. Suppose -2*t + 60 = -4*t. Let w be 3126\/39 - (-1 + t\/(-26)). What is the greatest common divisor of p and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8439 and 10767.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(182) - ((sqrt(182) - sqrt(182)*-1)*2 + sqrt(182) - sqrt(182)))\/(sqrt(14)\/sqrt(2)*6))\/(((sqrt(16) + sqrt(4))*2)\/(sqrt(96)\/sqrt(3))).\nAnswer: -sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -51159*d**2*q**3 - 48*d**2*q**2 + 2*d*q**3 + 799*q**2 wrt q.\nAnswer: -306954*d**2 + 12*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*u - 2*u + 2*u + (0*u - 2*u + 0*u)*(2 - 15 - 25))*(-3*u + 6*u - u) as k*u + y + f*u**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-2\/11)\/(l**(1\/5)*l*l))\/(l\/l**(-1))**41)**36 assuming l is positive.\nAnswer: l**(-167076\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*u**2 - 245*u + 37*u**2 - 14*u**2 + 96 - 10*u**2 + 148.\nAnswer: (u - 244)*(u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 371 - -75. Let t = -441 + a. Factor 4\/5*z**t - 4\/5*z - 8\/5*z**2 + 8\/5*z**4 + 0*z**3 + 0.\nAnswer: 4*z*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -41403 + -2?\nAnswer: -41405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 91*c**2 - 2019*c - 52. What is x(22)?\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1278\/(-710))\/((-1)\/5 - 0). Solve b + g = -0*p - 2*p, 4*p = b - 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13105 + -13117 - (-71 - ((-1 - -2) + 1 - 4))\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 f when four letters picked without replacement from {f: 5, g: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143\/98 - -2\/49. Let b = -0.2 - -0.2. Put 1, z, b in ascending order.\nAnswer: b, 1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x**5 + 5575*x**4 - 1621495*x**3 + 37258925*x**2 - 35643000*x = 0. What is x?\nAnswer: 0, 1, 24, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**3 + 2*w**2 - 384*w + 2013. What is r(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0155012536 rounded to three decimal places?\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -325284, -325270, -325256?\n\"Answer: 14*t - 325298","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10061 - -245?\nAnswer: -6513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 1773, -0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 3*h + 13 = -5, 0 = 5*p + 5*h - 90. Let u be p\/(-21)*-2 + -2. Which is the nearest to 1\/3? (a) -0.2 (b) u (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10681623 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 + -4. Suppose -3*u = 2*u - 5. What is the remainder when 2 is divided by (2 - x)\/(u\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1489*x**5 - 544*x**4 - 6*x**3 - 288*x**2 - 5*x - 11748?\nAnswer: 89340*x**2 - 13056*x - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 32\/3*d - 16\/3 - 20\/3*d**2 + 4\/3*d**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (91798\/(-294))\/(-79) - (-30)\/42. Determine x, given that z*x**3 - 4\/3*x**2 + 16\/3 + 0*x**4 - 8*x - 2\/3*x**5 = 0.\nAnswer: -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 529*o**3 + 161*o**2 - 138*o - 414. Let n(r) = -r**3 + r**2 + r + 3. Let j(f) = b(f) + 138*n(f). What is the third derivative of j(g) wrt g?\nAnswer: 2346","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1369*x**3 + 132*x**2 wrt x?\nAnswer: 8214","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 75 - 4?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2 + 0)*(-100*q**2 - 54*q**2 + 75*q**2)*(2*q - 4*q - q) to k*q**2 + t + j*q**3 + h*q and give j.\nAnswer: -237","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1041340843 is divided by 3543?\nAnswer: 3541","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:19 PM and 1:43 AM?\nAnswer: 624","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 + 535\/175)*5. Which is the smallest value? (a) 4 (b) j (c) 3 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i**2 + 3*i**2 + i**2 + 360 - 782 + 422.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28 = -5*k - 2*s, -8 = -k + 2*s - 3*s for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i - 9. Suppose -8*r + 6*r + 4 = 0. Suppose -r*l + 7*l = 2*b + 25, -3*l + 2*b = -11. Let h be d(l). Solve h = -3*g, p + g - 2*g = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 + 1.7. Let b be 89\/24*-3 - -11. What is the nearest to 0.3 in b, -1\/5, u?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 + 2. Let u = -6 + v. Which is smaller: 0.2 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*t + 4*y + 20, -t - 93*y + 13 = -95*y for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 610*c**2 - 10*c - 6. What are the prime factors of x(-2)?\nAnswer: 2, 3, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40*q**2\/3 + 67197794*q\/3 - 3359890 = 0.\nAnswer: -1679945, 3\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -913 - 337 = -25*h. Calculate the greatest common divisor of 170 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1179*j - 271*j - 355*j = 43687 for j.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.261 greater than or equal to 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -2*u**3 + 6*u**2 + 6*u + 4. Let l be o(5). Suppose 2*z + 3*v = -130, -z - 14*v = -10*v + 70. Let c = z - l. Sort -20, -5, c in decreasing order.\nAnswer: c, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*k - 4*n + 7 = 14*k, 5*n + 7 = -4*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/6*174\/406\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (111*k - 71*k + 37*k)*(-9*k + 13*k**3 - 4*k**3 - k**3).\nAnswer: 616*k**4 - 693*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 30\/9*(-12)\/(-8)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/11 smaller than 33659\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 683 = 502. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zbgbzgzzzgzbzgzzbzz. What is prob of picking 3 g?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 1, 69, 403, -2 in ascending order.\nAnswer: -2, 1, 3, 69, 403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 21*q - 17*q = -42, -4*t - q = 69 for t.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7512.992 - -7460. Round p to the nearest ten.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -52 + 54. Suppose -w - 5*u - 25 = 0, 3*w - 2*u = 2*w + 10. What is the closest to w in 6, p, 5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 100572.9ng?\nAnswer: 0.0000000001005729","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) + 1 - sqrt(13)))**2 + sqrt(13) + sqrt(78)\/sqrt(6) + -5.\nAnswer: -4 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2 - -2. Suppose 0 = -s*z - 4*j + 44, 6*z - 35 = 2*z - j. Suppose 4*t - z = -0*t. Solve -2*k - 4*g = 2*k, -3*k = -t*g + 15 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of t**5\/30 - 29*t**3\/2 + t**2 - 5. What is the units digit of l(10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -56, -116, -178, -242?\n\"Answer: -a**2 - 57*a + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 183 - 193. Let x be (d\/(-4))\/(10\/8). Solve x = 4*b + 6 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z + 3. Let j(y) = -3 + 5*y + 0 + 7 - 7*y + 5*y. Calculate -5*j(n) + 6*p(n).\nAnswer: -3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -33. Let g = -58.2178 - -57.7178. Which is the nearest to -2? (a) g (b) v (c) 0.1 (d) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.031+0.98\nAnswer: 0.949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*l - 6*l + 0*l)*(4 - 2 + 4*l - 2*l).\nAnswer: -18*l**2 - 18*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5\/((-11)\/66*6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/((-2)\/(-3 + 1)). Suppose -2*n - 2*n + 212 = q. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 70197616 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -2*z - z**2 - 810*z**3 + 623*z**3 + 1 + 188*z**3 + z. Let g(k) = 9*k**3 - 12*k**2 - 12*k + 9. Calculate -g(r) + 12*q(r).\nAnswer: 3*r**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2932, 4464, 7002, 10534, 15048, 20532, 26974, 34362?\nAnswer: 42684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 7*h + 8*h**2 + 8*h - 2*h**4)*(-1 + 3 - 1) as x*h**2 + v + a*h + m*h**4 + p*h**3 and give x.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 9614740?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -109083*-3.1\nAnswer: 338157.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -54 - -3a?\nAnswer: -1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 433.86 - 430. Let n = f + 0.14. Let q be 7\/(-9)*4\/(-14). Which is the closest to n? (a) 2 (b) q (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4439333 is divided by 88.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000075966 rounded to 7 decimal places?\nAnswer: 0.0000076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -72, 3 in decreasing order.\nAnswer: 3, -4, -5, -72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 3*x - 63 = 0, -73 = 5*h - 0*h - 2*x. Let s = 6 + h. Let d be (-24)\/s*(-36)\/(-2). What is the greatest common factor of d and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 11, g: 2}. Give prob of sequence gk.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15845393.\nAnswer: 41, 163, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*w - 3*h + 6*h - 19, -9 = -w - h. Calculate the highest common factor of w and 296.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1236 to the power of 1\/2, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r + 6. Let n(u) = u**2 - 35*u - 24. Let w(s) = n(s) + 6*q(s). What is w(8)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**3 + 10*w**2 + 5*w - 8. Let c be h(9). Let i = -114 + c. Solve -4*m - 14 = u - 0, -5*u - 6 = i*m for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -40\/11*g**4 + 0 + 0*g - 36\/11*g**2 + 74\/11*g**3 + 2\/11*g**5 = 0.\nAnswer: 0, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a - 11*a = 35. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -622 divided by 2.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 10 = -3*l. Suppose -2*g + 91 + l = 0. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.4 (b) -4 (c) -1 (d) 43 (e) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2983872450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/6)\/((-517)\/35673)*-2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3097 and 12863.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 11187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -38 + 9 + -21 + 63 + -50.\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/7, -0.3, 1\/5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2243*y + 80980 - 1827 = -28511 for y.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 3*o + 2. Let h be (-6 - -11)*(-6)\/2. Let f be ((-4)\/10)\/((-3)\/h). What is g(f)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 5*i + 6, s - i = 4*i + 2. What is the closest to 1 in -4, s, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 42\/(-11) - 56\/308. What is the units digit of p\/14 + 21564\/63 + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 29\/16082 and 69\/686.\nAnswer: 5516126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -97 + 136. Let o = v - 28. Suppose -8 = 5*j - 28. Solve o = -j*i - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/4*o**4 - 2583\/2*o**2 - 31*o**3 - 68921\/4 - 18491*o = 0. What is o?\nAnswer: -41, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -2*f + 25. Suppose a + 40 = -f*z + 6*a, 15 = 3*a. Let q(n) = 3*n - 2. What is q(z)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 42 - 42.075. Let a = 0.025 - z. Is 2\/13 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 14*q**2 - 113*q + 7. Let w be x(8). Is w smaller than -192\/119?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-38*((-77)\/(-63) + 8\/(-36)))?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -h + 3*i, h - 6*h = -i. Which is smaller: h or -10\/9?\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 8*h**2 - 13*h - 9. Let s be n(-6). What is the units digit of s\/(5\/(5730\/(-18)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5507294 to the nearest integer?\nAnswer: 2347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 878 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-19)\/7 + 10\/(-35). Let w = -1 - j. Solve w*g = -2*g + 4 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22274, 87767, 196906, 349685, 546098, 786139?\nAnswer: 1069802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 599719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)*-1 + sqrt(66) + sqrt(66) - sqrt(66))\/sqrt(6) - (-1 + sqrt(11))*-2.\nAnswer: -2 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*w**2 + 184*w - 6350.\nAnswer: 24*w + 184","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -598, -1198, -1798, -2398?\n\"Answer: -600*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 21\/12 + (35\/(-20))\/(-7). Find s such that -5*s**2 + 2*s**t - 6*s**2 - 40*s + 4*s**2 - 60 = 0.\nAnswer: -6, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 PM and 5:35 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -31 - -53. What is the tens digit of h\/(-11) + 4*3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/((2\/4)\/(5\/(-5))). Suppose 5*h - 3045 = -4*o, -u*o - 1805 = -3*h - 2*o. What is the hundreds digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)*b\/(b*(b**(-1\/2)\/b)\/b)*(b\/(b\/(b\/((b\/b**(-7))\/b))*b))\/(b\/((b**(3\/8)\/b)\/b)) assuming b is positive.\nAnswer: b**(-113\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*i, 2*x - 2*i = 6*x - 22. Let t be (8 - x) + 2\/14. Let q = -13 + 8. Sort q, t, 2 in descending order.\nAnswer: 2, t, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6847\/15345 + 3\/1705. Which is the second biggest value? (a) j (b) -0.2 (c) -1 (d) -1\/4 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 42 and 224?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*f**5\/6 + 47*f**4\/6 + 41*f**3\/2 + 137*f**2\/6 + 34*f\/3 + 2.\nAnswer: (f + 1)**3*(f + 6)*(5*f + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*v - 827 + 827)*(-1 - 1 + 0)*((3 + 1 - 2)*(0 + 1 + 1) + 0 + 0 - 1).\nAnswer: 48*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 287141 bigger than 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1*((-32)\/12)\/(462\/(-99)). Which is the second smallest value? (a) 0.3 (b) -1.8 (c) g (d) 5 (e) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3002268 divided by -37.\nAnswer: -3002268\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1097 = 43*a - 1010. Is 50 >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:56 AM and 12:24 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2\/3, -3\/89, -2?\nAnswer: -3\/89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, -4, 5028, -2\/7, -3, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2185765 or -2185766?\nAnswer: -2185766","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3964561*y**6 - 22*y**3 + 489806540*y**2 wrt y.\nAnswer: -475747320*y**3 - 132","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.048, 0.04, 0.1, -8, 311 in descending order.\nAnswer: 311, 3, 0.1, 0.04, -0.048, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31354 + -66156?\nAnswer: -34502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 + 6*g**2 + 6. Let a be d(6). Let m = 26 + -10. Let l be (0\/m)\/((1 - 2)*3). Solve -k + 5*i = 17, k - 3*i + 3 + a = l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a millennium?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -43152433*c. Let d(f) = -f**2. Calculate i(d(x)).\nAnswer: 43152433*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-23768870)\/(-18) - (-6)\/27. Let a = h - 780493. Round a to the nearest 100000.\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 4*d - d - 879, -281 = -d + 5*k. What are the prime factors of d?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -7 + 7*y**3 - 30*y**3 - 18*y**3 + 7*y - 2*y - 5*y**3. What are the prime factors of p(-3)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/((20\/(-110))\/((-672)\/(-308)))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147127852?\nAnswer: 2, 61, 602983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*l**4 + 5053453*l**2 - 141*l - 241560 wrt l?\nAnswer: 84*l**2 + 10106906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 78 + 262. Suppose -k = 7*s - 11*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/5, -0.3, 3\/115, 1, -2\/35?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-13101564)\/(-3990))\/(0 + 2\/10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 5*b**2 - 6*b - 1. Let a be p(-4). Let q(i) = a - 1 + 2 - 9 - 2*i**2 - i. Suppose 5*m - 3*z = -0*m - 4, m + 12 = -5*z. What is q(m)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-6\/5)\/(n\/n**(2\/15)) assuming n is positive.\nAnswer: n**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*x - 403105270 + 806210535 - 403105265.\nAnswer: 49*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 331 a factor of 109727?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p**(-2)\/p)\/p)\/p)\/(((p**(5\/3)\/p*p)\/p)\/p))**35\/((p*p*p*p*p**2*p*p**(-2\/3))\/((p\/(p\/p**(-4\/5)*p*p))\/p**7)) assuming p is positive.\nAnswer: p**(-2167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bimmweehmbhmmhmeme. Give prob of sequence hie.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.2, 2\/7, 3, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 7 + 5 + 52*j in the form h*j + r and give h.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*j*p**2 - j*p + 30177654*j + p**2 + 18322*p - 2 wrt p.\nAnswer: -12*j*p - j + 2*p + 18322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6 (b) -33 (c) 0.34 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u + u = -4*l + 2, -2*u - 2*l = 0. Solve 2*a - 6 + 2 = u*v, 4*v - 10 = -2*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, -1, -0.01, -33, -29, -4 in descending order.\nAnswer: 2\/7, -0.01, -1, -4, -29, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the first derivative of 46*i**3\/33 - 65*i**2\/11 - 24*i\/11 - 1953. Factor b(x).\nAnswer: 2*(x - 3)*(23*x + 4)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/2)\/(-201*7\/(-3752))*-11?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 45. What is the remainder when f(-9) is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 211*b - 777 = -48*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 6, e: 2, c: 7, h: 4, o: 1}. Give prob of picking 2 k, 1 o, and 1 h.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -3*d + 1. Let w be 15\/2*(-8)\/10. Let u be (0 - 1)\/((-2)\/w). Let l be c(u). Calculate the highest common divisor of 15 and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 9 = -11. What is the lowest common multiple of h and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1192*n + 698696 - 671280 for n.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18)\/(-63) + 2 + 295\/(-175)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 35135000 rounded to the nearest 1000000?\nAnswer: 35000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(2*-1 + 42\/18). Sort 2, v, -2, 3 in ascending order.\nAnswer: -2, v, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -2*i. Let a(z) = -z + 1. Let q(t) = 3*t + 2. Let m be 1*(9\/3 + -1). Let b(d) = m*a(d) - q(d). What is y(b(u))?\nAnswer: 10*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 10*n**2 + 16*n + 27. Give o(-3).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 62.17681 centuries in decades?\nAnswer: 621.7681","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 96297.6km in centimeters?\nAnswer: 9629760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 57801 in -27, -1, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u(y) be the second derivative of y**5\/20 + 2*y**4\/3 + 7*y**3\/6 + y**2\/2 + y + 39. Calculate u(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 2514, 10031, 22550, 40065, 62570?\n\"Answer: -c**3 + 2507*c**2 + 3*c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 13\/28, 0.6, 1\/10?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (419*n - 822*n + 301 + 408*n)*(-6*n + 2*n - 4 + 5*n) as g*n + s*n**2 + p and give g.\nAnswer: 281","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/(-8) + -2 + (-10)\/(-104) + 7720560\/(-557596).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 138*s - 14 = 140*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59314 is divided by 2371.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.49028888 to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30922959 to the nearest integer?\nAnswer: 5561","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 685518 is divided by 115?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 32b289 (base 13) in base 6?\nAnswer: 41343135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - o - 92. Suppose 6*r + 2 = -280. Which is smaller: o or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -54, 2, 5, -2, -53, 6.\nAnswer: -54, -53, -2, 2, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-469)\/7)\/(-1*(-3 - -4)) is divided by 22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = r - 40, o = 3*r - 5 + 2. Suppose 0*k - 2*k - 34 = 5*d, 0 = -5*k - 3*d - 47. Let n = k + 15. What is the least common multiple of n and o?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 59360.08 millilitres in litres?\nAnswer: 59.36008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16541866949 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/3528016 and -33\/441002?\nAnswer: 3528016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i - 2. Let a(x) = -x - 1. Let k be a(-8). Let o(s) = -s**2 + 7*s - 3. Let u be o(k). Let f be -7 + 0 + (-1 - u). Calculate d(f).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396) - (sqrt(396) + 1 - sqrt(396))) + 3 + -2*(sqrt(539) + 0).\nAnswer: -8*sqrt(11) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by -57.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -2*a + 5*a - 37, -5*m = -25. Suppose 0 = -5*t + 4*t + a. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1432?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 10 = 3*t - 0*t, 0 = t + 5*s + 20. Suppose 0*h + t*h + 5 = 0, 4*i = 2*h + 322. What is the greatest common divisor of 10 and i?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + (5 + -3 - 3). Suppose 4*p - 52 = 4*x, 3*p + y*x - 5*x - 44 = 0. Calculate the least common multiple of p and 20.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzzzkkz. Give prob of sequence zkzz.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) -2\/9 (c) -0.012 (d) -1.54 (e) 2 (f) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 27063 divided by 5\nAnswer: 27063\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 (base 3) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2481601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 66, 5, -9, 100?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10828*n - 10796*n = 864 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 247038 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1395?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 153*q**2 - 2551 + 2551. Let u(t) = 8*t**2. What is c(u(o))?\nAnswer: 9792*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 37 - 47*m - 24*m + 22 + 16*m. Is w(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: 205151422 (base 6) to base 12\nAnswer: 125b572","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(1 + ((0 + sqrt(425) + 0 + sqrt(425))*1)**2*-6).\nAnswer: 30597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = v + 28, -4*c - 8 = 3*v + 21. Let l be -5*(v + 3 - 2). Let q = 15 - l. Solve 2*m + 6 = -0*a - 4*a, -a + q*m = 18 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14514 (base 12) in base 2?\nAnswer: 110111011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 10:38 AM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 + -0.002.\nAnswer: 10.998","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35 + -25. What is the tens digit of (272\/(-10))\/(i\/(-50))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.1 (b) -0.1 (c) 49 (d) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -5*p + 20 - 5, -p = 3*g - 15. Suppose -7*o + p*o = -5. Suppose o = 2*d + 1. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 186544, 373088, 559632, 746176?\nAnswer: 932720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.3, 0.417, -0.4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 75a96 (base 11) in base 10?\nAnswer: 110457","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04934 and -0.1707.\nAnswer: 0.008422338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 181705 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t**2 + 0*t**2 + 4*t**3 - 3*t**3 + 0*t**3 + 4*t**3 + 4*t - 4*t - t**3 + (2*t**2 + 2*t**2 - 6*t**2)*(-2*t + t + 2*t))*(-1 + 4 - 1)*(3*t - 2*t + 0*t).\nAnswer: 4*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -3\/4, 4, -0.05, -682?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.2 + -0.1. Suppose 0 = 2*h + 2*k - 8, -4*h - 2*k + 4*k + 4 = 0. What is the closest to 0 in 3, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -5024?\nAnswer: -5031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6 + 13*r**2 + 4*r**3 - 9*r**3 + 35*r**2 - 74*r**2 to the form p*r + i*r**2 + z*r**3 + a and give a.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -7946*j**2. Let d(g) be the second derivative of -g**3\/3 - 20*g + 2. Calculate d(i(k)).\nAnswer: 15892*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(153)*2)\/(sqrt(576) - sqrt(576)*-4))**2.\nAnswer: 17\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**3 + 52*f**2 + 503*f - 154. Let j be b(-39). Let y = -37\/14 - -22\/7. Factor -y*u + 0 - u**j.\nAnswer: -u*(2*u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 3312*h**2 + 3*h - 4. Let s = 4 + 0. Let v be q(s). Round v to the nearest 10000.\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 891843611 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 136652?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5 - -550?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) -7 (c) 1\/5 (d) -2 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(4*sqrt(187) - sqrt(187)))\/((sqrt(88) + (sqrt(88) - (sqrt(88) - ((3*sqrt(88) - sqrt(88) - sqrt(88)) + sqrt(88)))))\/sqrt(8)) + 0)**2 + -4.\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vpppvvvpppvvpv. What is prob of picking 2 p and 1 v?\nAnswer: 21\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor o**2\/2 + 61225*o\/2 + 734412.\nAnswer: (o + 24)*(o + 61201)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 366730.6073 and 0.01.\nAnswer: 366730.6173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - s = 24. Let c = -7 + s. Does -2 = c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 241586 + -241585.6. Let a = -0.07 + -3.93. Put a, 2, -19, s in descending order.\nAnswer: 2, s, a, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 505558487.\nAnswer: 7, 72222641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6 - -1) + 3)*7. Let j be 18\/27 + q\/(-6). Suppose -4 = -j*z + z. Solve -4*r + z*r = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 - 5)*(3 - 3 + x) + (0 + 2*x + 0)*(0 + 0 - 2).\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 13*z - 2*b - 316887, 5*b + 7428 - 104971 = -4*z. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2535792?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*a + 159 = 0, -4*n + 3*n + 57 = 3*a. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -44*n + 44 - 12*n - 44. Let c(h) = -h**2. Give c(z(u)).\nAnswer: -3136*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 148.47 + -142.47. What is the nearest to a in 4, 0.2, -16\/17, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 81*k**2 + 15*k**2 + 45*k**2 - 2*k + 274*k**2 to u*k**2 + z + d*k and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the second derivative of h**5\/10 - 2*h**4\/3 + h**3 + 3*h. Factor b(w).\nAnswer: 2*w*(w - 3)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6418922.\nAnswer: 2, 19, 31, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/15643761 greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13\/42 - 1\/6. Let w = 1.1 - 5.1. What is the nearest to -1\/4 in w, 0.3, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cdhkchh. What is prob of sequence hd?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14627?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4044 + -4045. What is the third biggest value in k, 2\/7, 0.5, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 5, j: 3}. What is prob of sequence ja?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.008 and 3?\nAnswer: 4.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = t + 3*w + 49, -182 = 2*t - 5*w. Let p = t - -145. Let a = -63 + p. Let q(j) = 16*j**2 - j + 1. Give q(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/3 (b) -3 (c) 2 (d) 0 (e) -5440\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001939 to 5 decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 7*a**2 - 2. Let y be g(-7). Does 14 divide ((-16)\/(-10))\/(y\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -899 - -861 - (12 - 0)?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 21330 and 5130?\nAnswer: 405270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 9 (b) -0.9 (c) 25 (d) -3 (e) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -97 + (39 - 24) + 21?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*g + 4*d - 94, 5*d - 25 = 0. Put 0, g, 1, -7 in decreasing order.\nAnswer: 1, 0, -7, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((((i**(-1\/6)\/i)\/i)\/i)\/i)\/(i*((i**(-3\/4)*i)\/i)\/i))**(-18))**(1\/12) assuming i is positive.\nAnswer: i**(41\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -152, -296, -438, -578?\n\"Answer: h**2 - 147*h - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - 5 = -5*m, -3*s - 2*m = 230 - 227 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - -3)\/4*631 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3.5 + -1.9. Let c = -4.4 - d. Let a = 6.0000084 + c. Round a to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, e: 9, u: 2, f: 4, k: 1, l: 2}. What is prob of sequence eule?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**2 - d**2 - 2*d**4 + d)*(-4 + 4 - 3)*(3*d + 4*d - 5*d).\nAnswer: 12*d**5 - 6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -979 + 2265. Suppose -d = -2*p - 4*l, -27*p + 26*p - 4*l = -645. What are the prime factors of p?\nAnswer: 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.08, 0.5, -4, -3\/7, 12, 0.1, 3.6?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g = -24*x - 70, -5*x - 5*g = -5906 + 5836 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 - ((-10519)\/(-966) + 12\/138))*4?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -39 and 10?\nAnswer: -390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 + 39 = 3*s - 2*c, -5*s = -4*c for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33392733?\nAnswer: 3, 11, 67, 1373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31 (base 6) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - -12002?\nAnswer: 12003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 609656 is divided by 15241.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8 + 14. Suppose w + a + 5 = 0, 0 = 5*w - 2*a - s - 4. Suppose w = -3*r + r + 20. Is 10 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**2\/2 + 1575*r\/2 + 789.\nAnswer: -3*(r - 526)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 4427843 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -31.99011946 to two decimal places.\nAnswer: -31.99","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the first derivative of -7*v**5\/5 - 163*v**4\/4 - 4442*v**3\/3 + 2081. Find the third derivative of l(c) wrt c.\nAnswer: -168*c - 978","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*b**2 - 240*b - 7200 = 0. Calculate b.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87593449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -3.5. Which is the closest to 1? (a) w (b) 3\/5 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-1 + sqrt(1331) + -1)*-1*1)**2 + -4.\nAnswer: -396*sqrt(11) + 12011","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 845 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29352*n**3 - 59178*n**3 + 29825*n**3.\nAnswer: -n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10000 + -101010000000111?\nAnswer: -101001111110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2494497 is divided by 623607?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 167 and -1309797?\nAnswer: -218736099","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 - (-85428)\/70. Let r(o) = -8*o - 1220 + s. Let x(u) = -6*u - 8. Let v(a) = a + 1. Let g(k) = -8*v(k) - x(k). What is g(r(n))?\nAnswer: 16*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6174 divided by 98.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 65\/3132318 and 62\/65163?\nAnswer: 90837222","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2 = 2*n - 1, 0 = 3*q + 3*n. Let l be (39\/(-13))\/((-6)\/(-56)). Let v = -23 - l. Sort v, 4, q in decreasing order.\nAnswer: v, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a century in months?\nAnswer: 11040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-72))\/5*-4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-314)\/38 - (-1134)\/126. Which is the biggest value? (a) r (b) 0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -4 - 12. Let j be 2\/(-6) - 1272\/(-9). Suppose -j = l - f*l. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -28 + 44. Suppose 15 = -11*b + j*b. Differentiate 13 + b*r + 5*r + 13 - 3 wrt r.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -3*s**3 + s**3 + 3*s**3 + 11*s**2 + 6 + 0*s**3 + 7*s. Is 9 a factor of o(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -213 + 31*y**3 + 7*y + 5*y - 12*y.\nAnswer: 31*y**3 - 213","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4440 (base 11) to base 9.\nAnswer: -8022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 647, 2\/5, -5, -4, 17\/14?\nAnswer: 17\/14","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 15, -73*h + 4*v + 1161 = -70*h. Calculate the smallest common multiple of 207 and h.\nAnswer: 3519","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 10:39 PM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = -5*p - 265. Suppose -p*u = -3*u + 2*s - 290, 0 = -4*s - 4. Calculate the remainder when u is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 10. Let l = 18 - f. Calculate the common denominator of ((-10)\/25)\/(l\/130) and -29\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 46*v**2 + 5*v - 3 - v**3 - 1 - 5 - 44*v**2. Let u be o(3). Let d(s) = 2*s - 5. What is d(u)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of f*r**4 + f*r**3 - 12*f*r**2 - 536*f*r + 961*r**4 + 89*r**3 + 4*r**2 - r - 2 wrt r.\nAnswer: 24*f*r + 6*f + 23064*r + 534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o**2 - 9*o + 3. Let d be m(-8). Calculate the highest common divisor of d and 77.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 5*i + 32. Suppose 336*r - 956 = 332*r. Let g = 277 - r. Calculate the remainder when g is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 3648?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 27*p + 51. Suppose 35*g + 23*g = -116. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2759*b**3*o**2 + 27*b**3 - b**2*o + 2*o**2 - 12*o wrt o.\nAnswer: 5518*b**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162282*d + 162349*d + 1541 = 0 for d.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 times -2.3?\nAnswer: 59.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -24991.7 to the nearest 100.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/20 and -35\/2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - 3. Suppose a + 0*a = r. What is the units digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 59392 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187 - 88 = 11*y. What is the tens digit of (-5)\/(y\/605) + -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192)\/sqrt(4)*4.\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/40*(-4)\/18.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 496 - 2433*q - 297*q**4 - 1370*q**4 + 2432*q wrt q?\nAnswer: -20004*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-7)\/(-2) + 4\/(-8). Suppose 4*y + 28 = -5*u - 19, 2*u - n*y = -5. Let s = u - -7. Solve -r = -s*r - 2 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*sqrt(1539) + 3.\nAnswer: 3 + 9*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 = 65*b - 886. Let n(f) = 9*f**2 + 2*f - 1. Let q(p) = 10*p**2 + 2*p. Calculate b*n(d) + 3*q(d).\nAnswer: 12*d**2 + 2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 4492.\nAnswer: 13476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 2*j**3 - 4*j**2 + 5*j + 4. Let i(s) = -6*s**3 + 11*s**2 - 14*s - 11. Let k = 12 - 23. Determine k*t(r) - 4*i(r).\nAnswer: 2*r**3 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 4194950861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in fifty-seven halves of a gram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 54335500 to the nearest integer?\nAnswer: 379","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + m = -9, 7*f + 8*m - 7*m + 14 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) 8 (c) 2 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20139 is divided by 630?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 6405 to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90 + -237 + 222 - (0 - 1 - (-1 + 12)).\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 31569.846667 - 3152.976723. Let b = 28417 - s. Let w = b - 0.13. Round w to 5 dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = h + r - 18, 3*r = 9. Let f = -2 - -2.4. What is the third biggest value in f, h, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 752965 to the power of 1\/3, to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13\/(-260))\/(3\/(-8)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 248403575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (-2 + 1 - -6) - -2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 23452 divided by -52?\nAnswer: -451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h and 1 z when two letters picked without replacement from hzfjjzj.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y = 2963*a + 8929, -2*a + 2*a - 4 + 4 + 1 = a + 4 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 117, 127, 143, 165?\n\"Answer: 3*q**2 + q + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of -14*v**3\/3 - 21*v**2 - 29*v + 2. What is the first derivative of j(m) wrt m?\nAnswer: -28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 5*d - 88. Suppose d = -9*i + 13*i. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 885*a - 2034*a + 719*a + 915*a.\nAnswer: 485*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1544 and 193?\nAnswer: 1544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 12*v**3*x**3 + 9*v**3*x**2 + 5*v**3*x + 31*v*x**4 + v*x**2 wrt x?\nAnswer: 72*v**3 + 744*v*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m = 1 + 5. Suppose 120 + 12 = m*x. Let f = x - 38. What is the least common multiple of f and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.12 - 0. Let t = 2.12 + l. Which is greater: -0.2 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:39 PM and 7:36 AM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p + 6. Let s = 0 + 0. What is the units digit of u(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.08 - 0.089. Let s = r + 0.0089918. Round s to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -449, -898, -1347, -1796, -2245?\n\"Answer: -449*n","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 266 is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*y - 4*y - 6*y + (0*y + 3*y - 4*y)*(2 - 5 + 4).\nAnswer: -21*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -197359, -394720, -592081, -789442, -986803?\n\"Answer: -197361*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3406 and 17030.\nAnswer: 17030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 18 - 1. Let p = n + -17. Solve p = -5*i - 15 - 5 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 - -18. Suppose 0 = -y*d + d + 1346. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 8 + 4. Suppose r + 6 = 4*r. Suppose 0 = r*v - 42 - z. Solve 0 = -5*f + v + 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 0.085 (b) 2 (c) 5 (d) -1\/2 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-16)*o**(1\/5)\/o)\/(((o\/o**(1\/8)*o)\/o)\/o*o**(2\/19)) assuming o is positive.\nAnswer: o**(12327\/760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*x**3\/13 + 756*x**2\/13 - 74370*x\/13 + 547600\/13.\nAnswer: -2*(x - 185)**2*(x - 8)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand p**2 + 3*p**2 - 2*p**2 - p + p + 2*p**2 + 0*p + 0*p - 2*p**2 + (-1 + 1 + p**2)*(6 - 3 - 2) + 3 + 2*p**2 - 3 + 26*p**2 - 19*p**2 + 13*p**2.\nAnswer: 25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 7*o**3 + 5*o**2 + 22*o - 16. Let w(l) = 2*l**3 + l**2 + 6*l - 4. Let f(k) = -3*h(k) + 11*w(k). Give f(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43)\/(-3) - 3\/9. Suppose -4*i - 2*w = -g, -i - 3*i + 13 = 3*w. Suppose 4*r = d + 42, 2*d + 7 = r - 0. Solve h - 2*a = -r + 2, i*h + 4*a = -12 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + 7*w + 32. Let v = 30 - w. Find the common denominator of 1*v\/88*-6 and 49\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 125*k = -389 + 1014. Put 4, 54, k in descending order.\nAnswer: 54, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -2 (b) -1\/4 (c) -10 (d) 2\/5 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (7 - 12) - (11 + 0 + 2).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 958 = -89*i - 20*i + 86 for i.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 34 + -17. Let d = 19 - z. Let i(a) = -25*a**d + 11*a**2 + 12*a**2. Let j(o) = 5*o. Give i(j(f)).\nAnswer: -50*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 6 divided by -18665057\nAnswer: -6\/18665057","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.3 (b) 71 (c) 16 (d) -0.03\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(144)\/sqrt(6) - sqrt(24))*-3 - (sqrt(24) + (sqrt(24) - sqrt(72)\/sqrt(3)*6) + sqrt(24)))\/(-4*(sqrt(128) - (6*2*sqrt(128) + sqrt(128)))).\nAnswer: sqrt(3)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139.9324703 - -35.0675216. Let f = -175 + q. What is f rounded to 6 dps?\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 - 3 - 2*j + 3)*(13820 + 13824 + 4153*j - 27644).\nAnswer: 12459*j**3 - 8306*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -18d59 + -4?\nAnswer: -18d5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 449.779 - 0.779. Let y = -453 + g. Which is the third smallest value? (a) -40 (b) -1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 549579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iiie when four letters picked without replacement from {i: 4, e: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = f**2 + f + 2. Let h = 6 - 1. Let r = 10 + -7. Suppose u + 2*y = -y - r, -h*y = -u + 5. Calculate o(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vfvfvvv. What is prob of picking 2 f?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - 9c?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -50.73 plus -3857585?\nAnswer: -3857635.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1.516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(102)*-1*-6 - sqrt(102))\/sqrt(6) - -1*sqrt(1377)*-1*-1)*-6.\nAnswer: -234*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 1452716\nAnswer: 290543.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.5730767172 to 4 decimal places.\nAnswer: -0.5731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 117301727?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 66479895 divided by -7386655?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 435312 (base 10) in base 3?\nAnswer: 211010010200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 64*y - 80*y - 34*y.\nAnswer: -178*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 880, -0.2, 0.2, 363.\nAnswer: -0.2, 0.2, 363, 880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 239, 306, 371, 434, 495, 554, 611?\n\"Answer: -o**2 + 70*o + 170","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*l**2 - 3*l**2 + 2*l**4)*(-171 + 76 - 135) + (-4*l + 8*l + l)*(0*l**3 + l**3 - 4*l**3) as i*l**3 + s*l**2 + g*l + u + m*l**4 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ayynaannynayny. What is prob of picking 2 n and 2 y?\nAnswer: 100\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 115.957 - -0.513.\nAnswer: 116.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 111000011000010101011011 (base 2) in base 10?\nAnswer: 14779739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1207 and 34?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 255 minutes before 8:55 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 2*t**2 - 15780*t - 157675. What is o(-10)?\nAnswer: 325","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 18 = -b + 3*b, 21 = -b + 5*t. Suppose -w - 2*w = -4*y + 16, -w = -2*y + b. List the prime factors of (-738)\/w - ((-100)\/(-16) + -7).\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 5376567 - 22?\nAnswer: 5376545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12102001 (base 3) in base 12?\nAnswer: 2347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 1 + 1 = -x, 0 = -h - 1. Suppose -2*y + 5*y - 3*t - 9 = x, -2*t + 6 = 4*y. Suppose 3*k - 25 = -y*c, k + 0 = -c + 10. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220999 is divided by 862.\nAnswer: 327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 95230 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25 and 9 + 25\/15 + 1\/3?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1140123 take away -17229725?\nAnswer: 18369848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*d = -74*d + 28 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 212*r**2 + 201*r wrt r.\nAnswer: 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1669, -1680, -1691?\nAnswer: -1702","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1502963664 + 1502964286.000393. Let g = f - 622. What is g rounded to four decimal places?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (21 - -8)\/((-2)\/(-178)). Suppose -u - 1459 = -4*x. Round x to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-6)\/(-5)*30\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j + 7 = 10*j. Let n = 0 + j. Calculate the remainder when 19 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l**2 - 140058*l + 48652800 = 0. Calculate l.\nAnswer: 350, 46336","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (825\/(-88))\/25*-8. Solve -5*s = -4*w + 22, -3*w - c = -5*s - 22 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 197267?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3 - 18*h + 212*h**2 - 214*h**2 + 1 - 3 + 4. Determine u(-9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 23\/28 + 1\/84. Let k(w) be the third derivative of -4*w**2 - d*w**3 + 0 + 0*w + 1\/6*w**4. Find the first derivative of k(p) wrt p.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -94*c**4 + 6*c**3 - 4*c**2 + 4*c + 1. Let f(o) = -187*o**4 + 10*o**3 - 7*o**2 + 7*o + 3. Let z(y) = -4*f(y) + 7*q(y). Differentiate z(j) wrt j.\nAnswer: 360*j**3 + 6*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2833 (base 14) in base 11?\nAnswer: -5376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that 4*w**5 - 3004*w**4 + 845248*w**3 - 105466496*w**2 + 4890478592*w + 4996793344 = 0.\nAnswer: -1, 188","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6*6\/54)\/(56\/(-210))*(-48)\/700.\nAnswer: -6\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -1. Let f(k) = -2*k + k + 129*k**2 - 130*k**2 + 2. Let v be f(z). Solve -l + 4 = v*l - 2*w, 3*w = l - 6 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 930\/7, -0.02?\nAnswer: 930\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 740272495.\nAnswer: 5, 557, 265807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f. Let m(w) = 6296*w**2 + 8*w. What is r(m(d))?\nAnswer: -6296*d**2 - 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*r - 4676 = -32*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l + 83 - 158 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 2880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 82121568.06 rounded to the nearest 10000?\nAnswer: 82120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 1939\nAnswer: 3\/1939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(576)*6 - sqrt(3645)\/sqrt(5))\/(sqrt(162)\/(sqrt(6)*1)*1))**2.\nAnswer: 507","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-2) - -6)*-1. Let j(z) = 5*z**3 + 35*z**2 - 73*z + 47. Let c(p) = -p**3 - 7*p**2 + 15*p - 10. Let a(g) = 14*c(g) + 3*j(g). Calculate a(i).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -419025653 and 26?\nAnswer: 419025679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 h when two letters picked without replacement from {h: 7, d: 2, u: 5}.\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151042 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-6)\/(-15) - 27\/5. Let i be (3 + -4)*5\/(-1). Let d(f) = -f + 7. Let u(a) = 2*a - 18. Let z(n) = i*u(n) + 12*d(n). Give z(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4061 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 288.44 + -318.44. Let g be -2 + (75\/6)\/5. Is m bigger than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 82.553 to the nearest integer.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n + 26. Let o be k(11). Solve 0*h = 5*j + 2*h - o, 0 = -h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from jjdlvvu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 3*m - 20. Let w be c(12). Suppose -2*t + 4*u = -4, -u = -5*t + 3*u + w. Suppose 0 = 2*d - t*d + 124. What are the prime factors of d?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 66, 67, 68, 69?\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2456 to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -1185*y + 6024. Let v be p(5). Calculate the highest common factor of v and 13167.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77.3 - 107.3. Which is bigger: -7 or q?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-44)\/6 + 429\/(-234)*-6.\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 18*k**2 - 1261*k + 183. Let q be y(70). Solve 5*d - 5*t = -10, -q = -3*d + t - 115 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-5\/7))\/f**(-2\/17)*f**(-2\/7)\/(f\/(f*f**(-2)*f*f)*f*f*f) assuming f is positive.\nAnswer: f**(-173\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 11) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010001 (base 2) in base 7?\nAnswer: -144","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.5? (a) 0.3 (b) 10\/19 (c) -4\/67 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(8)*1) + sqrt(8)\/(2*sqrt(4)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 bigger than 16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 242606359?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -122403, -122059, -121713, -121365, -121015, -120663, -120309?\n\"Answer: h**2 + 341*h - 122745","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 74834 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66*c = -57*c - 32598. List the prime factors of c.\nAnswer: 2, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*(-8)\/((-992)\/3)*(-228)\/684\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4250\/2039 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 divided by -76?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = 91*q**2 + 77. Let z(u) = 23*u**2 + 4*u + 2. Let o(y) = 65*y**2 + 11*y + 7. Let t(c) = 4*o(c) - 11*z(c). Give 6*a(b) - 77*t(b).\nAnswer: 7*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 1973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 8:43 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 9 + 4. Let p(l) = -2*l**3 - l**2 - 2*l - 3. Suppose g = -2*g - 6. Let d be p(g). What is the greatest common divisor of d and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 572 minutes before 5:58 AM?\nAnswer: 8:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a minute in milliseconds?\nAnswer: 28800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781 a factor of 81869993?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) + sqrt(102)*1)*6 - sqrt(102))\/(sqrt(150) + sqrt(150)*-1 - sqrt(150)).\nAnswer: -11*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x = 10*x. Suppose 0 = 3*f - 4 - 5. Suppose 4*l + 1 = -f*w - x, 2*l = -5*w + 3. Which is the closest to 0.4? (a) w (b) -1 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -18, 0 = 3*v - 3*f + 53 - 302. What is the greatest common divisor of 11 and v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 642222 (base 8) to base 3\nAnswer: 101212202221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -6. Let l(y) = -y**2 + 12*y + 16. Let k be l(13). Suppose p = 14*i - 10*i - 10, 5*p + 12 = i. Put v, k, i, 8 in increasing order.\nAnswer: v, i, k, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 13}. Give prob of sequence vvyv.\nAnswer: 33\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101000000010011001101 - -11?\nAnswer: 101000000010011010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.15 times 0.9?\nAnswer: -0.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**2 + 1. Let d be b(-1). Solve -h = -d*h + 3 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000636202 to seven decimal places.\nAnswer: -0.0000636","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) be the third derivative of p**4\/12 + p**3 - 29*p**2. Let n(i) = 2*i + 9. Let h(b) = 2*b + 8. Let c(y) = 4*h(y) - 3*n(y). Determine 4*c(x) - 3*d(x).\nAnswer: 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = 3*o - 4, -o = -j - 0*j - 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 2 = v + 3*w, -4*w = -4*v + 12. Suppose 10 + 2 = v*b. What is the remainder when 15 is divided by b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 0*x + 12 = -2*o, 2*x = -4*o + 16. Suppose 7*w - 4*w - x*b = 721, -689 = -3*w - 4*b. List the prime factors of w.\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n**5\/7 - 4*n**4\/7 + 1427*n**3\/7 + 19314*n**2\/7 + 77328*n\/7 + 13824 = 0 for n.\nAnswer: -32, -8, -3, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23 = 7*t - 40. Suppose -t*j + 13*j = 112. Let w = j + -23. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p\/(p**5\/p))**30 assuming p is positive.\nAnswer: p**(-60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51\/5*j**2 - 48\/5*j - 12\/5*j**3 + 9\/5.\nAnswer: -3*(j - 3)*(j - 1)*(4*j - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 5 = 3*p, 4*a + p = -3*p - 20 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2 - 1)*(85*y - 173*y + 76*y)*(-2*y + 0*y + y)*(-2 - 3 + 3).\nAnswer: -48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 195 + -227. Is q less than or equal to -34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 1 + 14 = 0. Suppose 4*l = -c*p + 14, -3*l + 4*p - 2 = -0*l. Let v be -13801 + (l - (3 + -2)). Round v to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38 - 125 = -3*s. Let m = 33 - s. Suppose 6 + 66 = m*j. Calculate the smallest common multiple of j and 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 - s - 3. Suppose 6 = -3*u, -a - 2*u - 12 = 3*a. Calculate the lowest common multiple of b(2) and (5 + (3 - a))*1\/2.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/((-51)\/(867\/136))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2.7*0.026.\nAnswer: 0.0702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sqsqsvffvhifssffh. What is prob of sequence sf?\nAnswer: 25\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1824*w - 1752*w - 1484784 = 0. What are the prime factors of w?\nAnswer: 2, 3, 7, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185265689 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*l**5\/7 - 1530*l**4\/7 + 7568*l**3\/7 + 24456*l**2\/7 - 103456*l\/7 + 72960\/7 = 0. What is l?\nAnswer: -4, 1, 2, 6, 760","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 14013404 at most as big as 14013404?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (904 - 11967*i - 11964*i + 23927*i)*(-3 - 1 + 2) + 0*i - 2 + 0 + i in the form y + s*i and give s.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-3\/7)*l\/(l\/l**(-2\/3)) assuming l is positive.\nAnswer: l**(-23\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 617 + 19 = 106*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44806058?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w**2. Let z(t) = 68853*t - 577. Give z(h(o)).\nAnswer: -68853*o**2 - 577","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 22.0062 * 0.7.\nAnswer: 15.40434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:12 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8324365 to the nearest integer?\nAnswer: 2885","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -130350 times -6\nAnswer: 782100","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -32701 - -32741. Which is the nearest to -2\/9? (a) d (b) 0 (c) -7\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4 + (0 - 2) - 0. Let i = 10 - 5. Suppose -3*j + 0 = -i*s - 15, 3*j + 6 = -2*s. Sort z, s, -4 in ascending order.\nAnswer: -4, s, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/4 + 27917*h**2\/4 - 48713420*h + 48706441.\nAnswer: -(h - 13958)**2*(h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (m - 5*m - 5*m)*(2*m**2 + 2*m - 2*m) in the form b + v*m**3 + k*m + c*m**2 and give v.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 16, m: 4}?\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -558551, -558266, -557981, -557696?\nAnswer: -557411","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 4 + ((0 + sqrt(147) - sqrt(147)) + 3 - (2 + (1 + sqrt(147) - sqrt(147))))**2 + 1)*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ax when two letters picked without replacement from axwiaddiida.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 207.27833 to 0 dps.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-18)\/8)\/((-48)\/(-128)). Suppose 0 = 2*y + 4*d + 10, 2*y = 3*y + 5*d + 17. What is the remainder when 44 is divided by (60\/(-8))\/(y\/m)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -27889820, -27889819, -27889818, -27889817, -27889816?\nAnswer: -27889815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 1.8 (b) 10 (c) 9.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 631 + 181. Suppose -709 = -13*n + o. What are the prime factors of n?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -185541 = 31*x - 184859 for x.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 130944676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 884 and 23352407?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 11328360, 22656804, 33985250, 45313698?\n\"Answer: u**2 + 11328441*u - 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 5 - 3 = 0 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) -1 (c) -1\/5 (d) -7\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - 5 = -f, 2*j = -f - 0*j + 5. Let i(v) = -v + 1. Let r be i(-2). Let a = f - r. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/11 - (-186)\/(-66). What is the remainder when 50 is divided by 18 - h\/((-6)\/2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, -4, 11, 1, -20, 10 in descending order.\nAnswer: 11, 10, 1, -4, -7, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 70684618501 - 678360282336679\/9597. Let w = t - -28\/1371. Let b = w - 148. Which is smaller: b or 37?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of t**3\/6 + t**2\/2 - 2*t. Let s be q(8). Suppose -19 = -2*c - 1. What is the greatest common factor of c and s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 237, 1025, 2367, 4281, 6785?\n\"Answer: 3*g**3 + 259*g**2 - 10*g - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jbn when three letters picked without replacement from {n: 5, c: 1, j: 1, b: 1, r: 1}.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3350591 to the power of 1\/2, to the nearest integer?\nAnswer: 1830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o, 1 m, and 1 q when four letters picked without replacement from {m: 1, s: 2, o: 2, q: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h + 9. Let w(i) = -4*i + 17. Let q(l) = 10*p(l) - 6*w(l). Let z(f) = 2*f + 4. Give 6*q(m) + 17*z(m).\nAnswer: -2*m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -876 - 137*q**2 + 447*q**2 + 1751 - 878 - 22*q + 21*q to p*q + l*q**2 + n and give l.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 53 is divided by 34.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 + 10020012?\nAnswer: 10020012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3463*i + 10041 + 20998 = -7054 for i.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-7 - -1) + 5 + 5. Let d be 0 + (-1)\/(-1) + -6. Calculate the remainder when 9 is divided by (-1 - 2)*(d + a).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - ((8 - 4) + -4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -3*c - 30. Let r be m(-15). Suppose r*n - 238 = 13*n. Is n a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*j = m - 3*j + 20, -5*j - 20 = -3*m. Let z = 179 + -173. Suppose -3*o + z = -o. Solve -3*y - 3 = -o*b + 18, 3*y + 3*b - 3 = m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/11? (a) -4\/3 (b) 5 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 5 - 1)*(10*x**2 - 15*x**4 - 10*x**2) + (-4*x**3 + 2*x**3 + x**3)*(5*x + 4*x - 2*x).\nAnswer: 68*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve m - 36 = -5*y, 4*y + 25 = -3*m + 45 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -2542, -2550, -2580, -2644, -2754, -2922?\n\"Answer: -2*w**3 + w**2 + 3*w - 2544","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that -2*n**3\/13 + 15376*n**2\/13 - 15050272*n\/13 + 3959207936\/13 = 0.\nAnswer: 548, 6592","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 3*k + 1. Let i be n(1). Suppose -m - x + 6 = 0, i*x - 6 - 3 = m. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 95351324977 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 30, -3\/4, -0.03, -0.5, 3 in descending order.\nAnswer: 30, 3, -0.03, -0.5, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 2*s - s)*(-2 + 3 - 2) + 0*s + 5*s - 3*s.\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1224761 - 1224215 = -13*a for a.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/39768450 and -113\/300.\nAnswer: 79536900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -4*x**2 - 3*x - 4. Let r(n) be the first derivative of 11*n**3\/3 + 4*n**2 + 12*n - 52. Determine -3*r(u) - 8*s(u).\nAnswer: -u**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 26*j + 19. Determine k(-26).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/36517 and 58\/382395?\nAnswer: 20266935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*u - 15. Suppose 3*y = 45 + u. Solve 0 = 5*n - 20, y = 2*l + 3*l - n for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2217061.\nAnswer: 7, 11, 28793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.18 + -1.3. Let l = u + 0.1. Let o = l - -1.02. What is the nearest to o in -2, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5110532 to the nearest integer?\nAnswer: 2261","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -r**2 - r + 1. Suppose -10 = -4*c - 2. Let j(v) = -3*v**2 - 4*v + 3. Let l(a) = c*x(a) - j(a). What is the remainder when 40 is divided by l(3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.268786\nAnswer: -0.00537572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(2\/7))**(-7)\/((q**(2\/5)\/q)\/(q**(-7)*q)) assuming q is positive.\nAnswer: q**(-37\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 2 + (-110)\/(-25).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.07? (a) -2\/3 (b) 5 (c) 522 (d) 149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2236*n**4 + 12795*n + 71275306.\nAnswer: -8944*n**3 + 12795","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 26076 (base 8) in base 5?\nAnswer: 330301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 501\/15 - (-4)\/(-10). Let p = -1 + 30. Let z = -18 + p. Calculate the greatest common divisor of r and z.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 281014 and 1702?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 104b (base 16) in base 8?\nAnswer: 10113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -94, -205, -322, -445, -574, -709?\n\"Answer: -3*q**2 - 102*q + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven fifths of a centimeter in millimeters?\nAnswer: 54","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*g - 22*g**2 + 19*g**2 - 10*g.\nAnswer: -3*g**2 + 9*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 52754784 + -52754977.000248. Let a = -193 - k. Round a to 5 dps.\nAnswer: 0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*r**3 - 45*r + 76 with respect to r.\nAnswer: 6*r**2 - 45","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = 4*w - 4, -3*w + 3 = 3*t - 5*t. Let h(m) = -m**2 - m - 1. Let c = 7 - 11. Let z(j) = -5*j**2 - 3*j - 6. Calculate c*h(g) + w*z(g).\nAnswer: -g**2 + g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-176)\/(-10) + 3\/(-5). Suppose -k = -2*p - v, v - 14 = -4*p + 19. What is the lowest common multiple of p and 20?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2 and 136898.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 2675?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 108863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 191210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-34)\/(((-10)\/(-5))\/(-1)). Suppose c - 2 - f = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 - 3*b**5 + 2 + 2*b**5 - 1 + 1 + (4*b**2 + 4*b**2 - 6*b**2)*(2*b**3 - 4*b**2 + 4*b**2) - 2*b**5 - 2 + 2 + (-b - 7 + 7)*(-5*b**2 - 3*b**4 + 5*b**2).\nAnswer: 4*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-5)*80\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 89*b**2. Suppose 12 = -122*o + 120*o. Let h(a) = -a**2 - a + 2. Let u(t) = 7*t**2 + 6*t - 12. Let g(m) = o*h(m) - u(m). Calculate g(z(r)).\nAnswer: -7921*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-5)\/(-55) + 17322\/33.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6930)\/(-135)*(-810)\/756?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 285684129?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 37 = -q + 6*h, 1004*h = 5*q + 1006*h - 7 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3a4a + -6?\nAnswer: -3a53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and 15992577999054.\nAnswer: 15992577999053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 146654239 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6648922 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/10 of a decade?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 0.5, -0.1 in descending order.\nAnswer: 2, 0.5, -0.1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/10289 and -6.\nAnswer: 10289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eye when three letters picked without replacement from {w: 4, y: 7, e: 3}.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-26)\/(-4)*(5 + -4)*22?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 times 2875?\nAnswer: 143750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = v**3 + 7*v**2 - v - 3. Let m be f(-7). Suppose 3*a = -x + 156, -m*a = -2*x - 30 - 188. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by 5.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 171 = -27. Suppose 0 = 55*m - 58*m + 9. Calculate the remainder when 4\/10 - s\/(-10) is divided by m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 10.844 and -847446852.\nAnswer: -847446841.156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c + 15 = 3*a, 2 = 2*a. Suppose 26 = 4*p + 6. Which is bigger: c or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/136 and -61\/59452.\nAnswer: 2021368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -1. Let j(s) = -7 + 0*s - 17*s**2 - 2*s + 5*s**2 + 3*s**2 + 10*s**2. What is 14*f(z) - 2*j(z)?\nAnswer: -2*z**2 + 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(-1)*d)**(-20)\/(d\/((((d**(5\/6)\/d)\/d*d*d)\/d)\/d*d)*d*d**(2\/49)))**(-7) assuming d is positive.\nAnswer: d**(6529\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*f - f - 180. Let x be 6\/27 + 424\/f. What is the greatest common factor of x and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -2*v - v**2 + 0 - 5*v + 2. Let f be u(-5). Let w be (7 - (-3 + 2)) + -1. Solve -2*k - f = -5*c + w, 11 = 4*c - 3*k for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -15 - -11. Let m be (-6)\/p*8\/(-4). List the prime factors of (m\/2 + 2)*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2275 and 4161815?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 - 2.3. Let i(d) = -5*d. Let k be i(1). Let s be (1\/3)\/(1 - 0). Which is the closest to s? (a) k (b) n (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - -11. Let c = 5 - d. Suppose -50*g = -22*g + 168. Is c smaller than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6 - 2. Suppose 102 - 1986 = -a*t. Suppose 6*u - t = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h - 6. Let k be i(9). Suppose -j = -3*b + 23, k*j + 3 = 21*b - 23*b. Calculate the remainder when 16 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15030525?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes after 2:11 PM?\nAnswer: 7:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -294 + 1220\/9*h**2 - 14\/9*h**4 - 434\/3*h + 2\/9*h**5 - 140\/9*h**3 = 0. What is h?\nAnswer: -9, -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*f**3 - 5*f**5 - 4*f**3 + (4*f**4 - 5*f + 5*f)*(-2*f + 2*f - 2*f).\nAnswer: -13*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -137*p + 2. Let s(g) = 3*g. Determine k(w) - 4*s(w).\nAnswer: -149*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44\/9 - 5342\/1089. Let n(x) = x**2 - 12*x + 1. Let c be n(12). Which is greater: z or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 35 (b) 3\/2 (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 15074 + -15074.4. What is the fourth smallest value in -4\/3, 5\/31, -0.36, j?\nAnswer: 5\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w**2 + 11*w. Let n be r(11). Does 13 divide 17 + (n - 0) + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1, -2\/5, 1\/7, -1\/3, 1\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12071*g*h**2*m - 2*g*h*m - 2*h**2*m + h**2 + 167*h - 4*m - 9 wrt g.\nAnswer: 12071*h**2*m - 2*h*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1837*r - 61590 = -12190 + 18569 for r.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1)\/2 - 24\/(-16). Is 106\/2 + (z - -1) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of l**3*s**2 - l**3*s - 187*l**3 - 4*l**2*s**2 + 64*l**2 wrt l.\nAnswer: 6*s**2 - 6*s - 1122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltlgllgctttlttuutg. Give prob of picking 1 l, 2 u, and 1 t.\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-345)\/50 + 7)\/(-1) + 0\/(-1)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in 0, 1, -0.03?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 8*t = 4*t. Put -1, 64, -2, t in ascending order.\nAnswer: -2, -1, t, 64","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9.133 - 69.423. Let t = -60 - u. Let j = -0.71 - t. Sort -4, j, 2.\nAnswer: -4, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z + 7 = -x, -27*z + 2*x + 12 = -25*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*g = 2, -g - 10 = 4*w - 3*g. Let x(j) = -6*j - 12. Let n(p) = -3*p - 6. Let m(r) = 7*n(r) - 4*x(r). Give m(w).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11345442 a multiple of 362?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -h - 2*x + 1 = 0, -h + 4*x + 13 = -6*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 9*v**2 - 44*v + 16. Let f(p) = 5*p**2 - 22*p + 8. Let g(z) = -7*f(z) + 4*i(z). Let h be 33*7\/(42\/4). Is 6 a factor of g(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 2*j + 468 = -10*k, -30*k - 246 = -25*k - 4*j for k.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + -2*sqrt(15)\/sqrt(3) + 3 + sqrt(20))**2*1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 19.7 - 0.7. Let q = -22 + z. Sort 12\/5, 3, q in decreasing order.\nAnswer: 3, 12\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1\/210878?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 230540414 (base 6) in base 3?\nAnswer: 21222120122201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 28*d + 191. Let h be w(-7). Put h, 25, 2 in descending order.\nAnswer: 25, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) 0 (c) -2\/7 (d) 58 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 455, 946, 1437, 1928?\n\"Answer: 491*y - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17 by 2316.\nAnswer: -17\/2316","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v\/(v\/v**(-1\/10)*v*v*v))\/v)\/v*v\/(v*v\/v**(-13\/5)))**43 assuming v is positive.\nAnswer: v**(-3741\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 65 - 85 = 0. List the prime factors of 500\/c + (-1)\/(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/35001 and -67\/6.\nAnswer: 70002","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -20, -3, 1, -134 in descending order.\nAnswer: 1, 0, -3, -20, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 147630328061 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*m**3 + 51*m**2 + 30 - 447*m + 99 + 81.\nAnswer: 3*(m - 5)*(m + 14)*(2*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -118 + 216. Suppose 4*d - w - 198 = 0. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, -39, -60, -85, -114, -147, -184?\nAnswer: -225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(153)*-3 - sqrt(153)) + (sqrt(153)*-3*6 - sqrt(153)))\/(sqrt(36)\/sqrt(144) + -3*sqrt(144))*6.\nAnswer: 972*sqrt(17)\/71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (784*f + 640*f + 1152*f)*(-f**3 - f**3 + 0*f**3) + 5 + 2*f**4 - 5.\nAnswer: -5150*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 + -0.1. Let o = 0.4 - x. Let b = o + -0.4. Is -0.2 < b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 5.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.6 - 0.6. Let o = 4791 - 33535\/7. Which is the second biggest value? (a) h (b) o (c) -18\/5 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 221293?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -8733\/187 + 515\/11. Which is the closest to -19? (a) -0.3 (b) 4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2559 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/15 + 62412\/(-315). Let i = t + 191. Let m be (-42)\/4 - 2\/4. Is m at least as big as i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*m - 850*m**2 - 1064*m**2 + 0*m + 3618*m**2 - 848*m**2 - 854*m**2.\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 48158 and 820278.\nAnswer: 398","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-6)*14\/((-700)\/30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 21 - 267*g - 8 - 5.\nAnswer: -267*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h - 4*s - s = 16, 5*h - 3*s = 21. Let m be 0 - 8*(h + -2). Let z be 10\/25*10\/m. Which is greater: z or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 - 2*l**2 + 3*l + 3. Suppose 8 = -0*n - 4*n. Determine c(n).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 22\/((-1056)\/(-2160)) - 49.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 48 - -35. Suppose j = -0*j + g. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 39 - (39 + -47).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -21*s. Let i(d) = 15*d**2. What is a(i(m))?\nAnswer: -315*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((-1*(sqrt(110) - (sqrt(110) + sqrt(110)*2)))\/((sqrt(10) + sqrt(40) + sqrt(10))*2 - sqrt(10)) + 5)**2.\nAnswer: 20*sqrt(11)\/7 + 1416\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) -2 (b) -0.176 (c) 5 (d) -0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 250\/9 - (-6)\/27. Let p be (-6)\/(-2 - (-4982)\/b). Let l = p - -83201\/8210. Calculate the common denominator of l and -71\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 2*b + f + f, -2*b + 71 = -3*f. Suppose 4*w = -p + 16 + 100, p = 5*w + 53. What is the remainder when p is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 3*i**4 - 62154*i**3 + 321491079*i**2 + 4513999092*i - 4835428020 = 0.\nAnswer: -15, 1, 10366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2, -16, -52, -112, -202, -328, -496?\n\"Answer: -b**3 - 3*b**2 - 2*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 925 - 67524\/73. Suppose 25 = 16*l + 25. Which is smaller: l or x?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 1162652 and -416?\nAnswer: 1163068","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -278175648 divided by -747784?\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:56 AM and 12:21 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 188294027?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 9, i: 3, u: 4}. Give prob of sequence ggu.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -27186325*m. Let x(b) = -2*b**2. What is a(x(k))?\nAnswer: 54372650*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 88*d - 407. Let w be x(4). Suppose 2*l - 20 = -2*l. Put l, w, 2 in increasing order.\nAnswer: w, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 3. Let i(a) = -a**2 + 7*a - 6. Let f be i(7). Let n(t) = -2*t - 9. Let y be n(f). Calculate the highest common divisor of y and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5 + 7. Let t(v) = v + 6. Let l be t(0). Suppose l = a + 1. Solve -u*m - 4*z = -18, 5*z + 20 - a = 5*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54263, -54260, -54257, -54254?\nAnswer: -54251","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 675 and 25875?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -l**2 + 10*l. Suppose -4*z - 1 = -37. Let r be m(z). Solve -r = 2*j + j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00150764 rounded to 5 dps?\nAnswer: -0.00151","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3f50e (base 16) to base 10.\nAnswer: -259342","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*b**2*i**2*y - 1340*b**2*i**2 - b*i**2 - 8*b*i*y - 75*b*i + 2*i*y wrt b?\nAnswer: -10*i**2*y - 2680*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17 (base 12) to base 7.\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 109368 is divided by 54662?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111110101010011010000 (base 2) to base 13.\nAnswer: -56b7b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13795.\nAnswer: 5, 31, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 3. Let q(o) = o**3 + 6*o**2 + o + 8. Let s be q(-6). Let n be i(s). Suppose 5*h - n*c - 24 = h, -4*h + 32 = -5*c. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - -10 - -4) + (218 - (-43 + 155))?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*l - 2*l + 4*l)*(-l**4 - 13*l**4 - 28*l**4).\nAnswer: -588*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 8*t - 10. Suppose -k - 5*f = -2*f + 4, t*f - 10 = -5*k. Solve 4 = k*o - 11 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6875, 16913, 26953, 36995, 47039?\nAnswer: 57085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -u**3 + 34*u**2 - 91*u - 178. Determine y(16).\nAnswer: 2974","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.4 (b) 5 (c) -3886 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/2*(-7 - 3). Let c(s) = -2*s**2 + 11*s - 20. Let x be c(5). What is the tens digit of x\/n - (0 + -33)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 2*n = -v + 4, 15 = -5*v - 3*n. Which is the smallest value? (a) -2\/3 (b) 3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from lprpzzphhppzzpphp. Give prob of picking 1 r and 1 h.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 - 3938.0909.\nAnswer: -3937.7909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the first derivative of m**6\/12 - 32*m**5\/5 + 271*m**4\/2 - 929*m**3\/3 - 1085*m**2\/4 + 961*m - 3614. Determine p, given that d(p) = 0.\nAnswer: -1, 1, 2, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 733*s + 5628*s + 1442*s + 3902*s - 196*s in the form v*s + a and give v.\nAnswer: 11509","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -6*w**2 - 2*w**2 + 11*w**2 + 70*w - w**2 + 1. What is the hundreds digit of d(-42)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 59 = -2*r, 35 = 4827*r - 4830*r + 2*i for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 2*x = -3*p + 13, 0 = 3*p + 2*x + 7 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 847212658 a multiple of 63?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 22\/4*64\/176\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -64117 + -0.03607673\nAnswer: -64117.03607673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b**2. Let m(p) = -19769*p. Calculate z(m(u)).\nAnswer: 781626722*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.6 - -2.6. Let n = -1 + y. Which is the closest to 2\/5? (a) n (b) -0.2 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ihryrpiroypryrriir. What is prob of sequence iioi?\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 17 = -13. Suppose 0 = -5*b + i. Suppose -5*n - 73990 = 2*z, -7*z = -b*z - 5*n + 185010. What is z rounded to the nearest ten thousand?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 33 = -3*s - 2*y, 0 = -y + 3. Suppose -s = -t - 2*t. Calculate the common denominator of 27 and t\/(-5) + 3\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = -7*g**3 - 13*g**2 - 11*g - 11. Let n = 23 + -12. Let z(b) = 7*b**2 - 68*b**3 - 69*b**3 + 6*b + 141*b**3 + 4 + 2. What is n*z(d) + 6*p(d)?\nAnswer: 2*d**3 - d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23*y**2 + 67 + 75 - 65*y**3 - 17*y**2 wrt y?\nAnswer: -195*y**2 + 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 257 and 615001?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1524 and 63500?\nAnswer: 508","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5 or 4682\/817?\nAnswer: 4682\/817","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 4*u + 6. Let f be 12\/u*1\/3. Let w be (f + -2)\/((-2)\/4). Solve 0 = 2*s + w - 4 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, t: 2, u: 6, p: 2, v: 4, z: 4}. Give prob of picking 2 m and 1 v.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -7*s**3 + 235*s**2 - 926*s - 59. What is w(29)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1140114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12814*w**4 - 10*w**3 - w**2 + 3*w - 2804870 wrt w?\nAnswer: 51256*w**3 - 30*w**2 - 2*w + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 5*x**3 - 19*x**2 - 11*x + 25. Let u(g) = -2*g**3 + 6*g**2 + 4*g - 8. Let r(q) = 3*m(q) + 8*u(q). What are the prime factors of r(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6 by -3712725.\nAnswer: 2\/1237575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - -5) + (1 - 3)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351*n = -28412 + 3491 for n.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 27ad5 (base 15) in base 3?\nAnswer: 20110122202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 258030242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 38848?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/2 - 7*c**3 + 30*c**2 - 52*c + 32 = 0. What is c?\nAnswer: 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88*u - 86*u + 10810 = 4*b, 3*b - 3*u = 8097. Is 41 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 14*r - 29*r - 10*r - 13*r to i*r + n and give i.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*i + 690, 0 = -2*l + 3*l. Is i bigger than -137?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05454 rounded to 4 decimal places?\nAnswer: 0.0545","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 d when two letters picked without replacement from ddcdh.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1587486.817 to the nearest ten thousand.\nAnswer: 1590000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**6\/120 + i**4\/12 + i**2 + 3. Let q(f) be the second derivative of r(f). Let u(p) = 4*p**3 + 9*p. Give -18*q(v) + 4*u(v).\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55072*l**2 - 636*l**3 + 25 + 55084*l**2 + 637*l**3 to x*l**3 + f*l + u*l**2 + j and give j.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/5 (b) 0.83 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 87.074946 minutes to weeks.\nAnswer: 0.0086383875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 5765319?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*b**5 + b**4*d**2 - 7*b**3*d - 2*b**2*d**2 - 99*d**2 wrt b?\nAnswer: 300*b**2 + 24*b*d**2 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100110001101110010000 (base 2) to base 8.\nAnswer: -24615620","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22\/13*l**3 + 0 - 12\/13*l**4 + 48\/13*l**2 - 56\/13*l - 2\/13*l**5 = 0 for l.\nAnswer: -7, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213633*t**6 + 3*t**2 + 14*t - 37?\nAnswer: 25635960*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/13))**(-2\/5)*g**(-1\/12)*g**(-30) assuming g is positive.\nAnswer: g**(-23393\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 464128.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30421 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*p = -1236 + 1509 for p.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l = o - 18, 5124*o + 204 = 5127*o + 42*l for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-23) + 44487\/(-207). Let x = y - -10006. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(1372) + (sqrt(1372) + 1)*-1 + sqrt(1372)) + (sqrt(1372) - (-4 + (sqrt(1372) + -1 - sqrt(1372))) - (sqrt(1372) + 0 + -1*sqrt(1372))))**2.\nAnswer: -756*sqrt(7) + 12429","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -7. Let d = -171 - -170.7. Sort d, -0.2, n, 2 in decreasing order.\nAnswer: 2, -0.2, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 26 (base 8) to base 9\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 59*j - 60*j - 91*j**3 + 2 - 2*j**4 - 18*j**3 - 29*j**2 to k + h*j**3 + q*j + b*j**4 + s*j**2 and give s.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 8:36 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1670716559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2 + 10*f - 3. Let q(l) = -l**2 - 5*l + 1. Let j(u) = -u**3 - 7*u**2 - 7*u - 2. Let r be j(-6). Let a(p) = r*b(p) + 9*q(p). What is a(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22 - 16. Let z be 1\/(3\/(-11))*l. Let u be (0 - -1)*(-12)\/z. Sort -3, u, 2\/7 in decreasing order.\nAnswer: u, 2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*t - 5*w + 195, -4*w - 3 - 41 = -t. Suppose 0*a + 28 = 5*v + a, -t = -5*v - 5*a. Suppose 5*j - 4*j - 10 = 0. Solve -v*c = -0 - j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c and 1 x when three letters picked without replacement from kknccnjx.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 429 is divided by 87.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*g = 5*g - 1052 + 3809 + 429 for g.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9765 by 3255.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6*i*i**(2\/23)\/i)\/(i*i\/i**(4\/15))**(9\/11) assuming i is positive.\nAnswer: i**(5906\/1265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4878*f = -4882*f + 48 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2567 to the power of 1\/2, to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = -3*t - 40, 4*j - 2 = 4*t + 62. Let d be (-1)\/(t\/(-15) - 1). Let f be d - 0\/(-1) - 2. Let u(q) = 2*q**2 - 3*q - 3. Calculate u(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 p when two letters picked without replacement from ptncv?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -728511 - 6251996 = 24*d - 95*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -21*q - 3. Let h(f) = 159*f + 22. Let t(j) = -2*h(j) - 15*p(j). Determine t(1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -15993, -15987, -15975, -15957, -15933, -15903, -15867?\n\"Answer: 3*s**2 - 3*s - 15993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -121*i**4\/12 + 163*i**3\/6 + 69*i. What is the second derivative of h(k) wrt k?\nAnswer: -242","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 665709637 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 51*s + 91. Is 52 a factor of d(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -2, -74 in ascending order.\nAnswer: -74, -6, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3650084424 to the nearest integer?\nAnswer: 1540","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3541414 is divided by 1428.\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 191 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 5*m + 39. Let z be a(-9). Calculate the smallest common multiple of z\/(-8) + 528\/64 and 91.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1080))\/(-2*sqrt(10)*1).\nAnswer: -9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m**3 + 7*m**2 - 1019*m?\nAnswer: 6*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 34ca (base 13) to base 3\nAnswer: 101012022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9949706*m**4 - 19753898*m.\nAnswer: 119396472*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 31. Suppose 2*j + 3*g - 108 = -g, 0 = -4*j - 5*g + 201. Suppose -j = -2*n - y. What is the highest common divisor of 112 and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a millennium in decades?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2047 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) -3.031 (b) 3\/8 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51592 = 3*x + 4*k, 128*k - 34369 = -2*x + 129*k. List the prime factors of x.\nAnswer: 2, 4297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0677 + 0.6649. Let f = -0.544 + -0.166. Let p = f + s. Round p to three dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 30\/6959 or 0?\nAnswer: 30\/6959","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and -7558.4.\nAnswer: -7563.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwrrjjrjjjjjjjw. Give prob of sequence rrr.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q - 2. Let f(z) be the third derivative of -z**4\/24 + 89*z**2. What is 4*f(n) - l(n)?\nAnswer: -n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(2 - 4)*(-3)\/6. What is the units digit of 15 + (3 - s) - (-1 + 2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (258\/(-215))\/(1\/(-5)). Suppose -5*h = -5*l - 19030, 3*h - 1550 - 9871 = 2*l. What is the tens digit of t\/8 + h\/52?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (13*x + 47 - 47)*(1 - x**2 - 2*x**2 + x**2) to the form d*x**3 + o*x + a*x**2 + s and give d.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: a40542 (base 13) to base 7\nAnswer: 44352364","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 812?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -8*m**4\/9 - 41048*m**3\/9 - 20851558*m**2\/3 - 25399353056*m\/9 - 3063030303872\/9 = 0.\nAnswer: -2296, -539\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2 + 1. Suppose -2*w = -2*s - 192, -9*s = 4*w - 7*s - 402. Suppose 0 = 37*n - 34*n - w. Calculate the highest common divisor of h and n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1672388\/117 - 14294. Calculate the common denominator of 45\/41 and r.\nAnswer: 4797","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 264 = 0, -2*y + 5*t + 42385 = 42723 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 28 - 8. Solve -5*j = x + 12, a*x - j - j = -6 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the second derivative of q**5\/20 - 5*q**4\/6 - q**3\/6 + 13*q**2\/2 + 2*q - 19. Determine u(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1891\/7 - 25987\/70. Let a = j - -688\/5. Find the common denominator of a and 47\/(-2)*4\/(1 - 5).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 282900129 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*y + 5*y - 180. What is the remainder when (-348)\/(-9)*((-6)\/(-4))\/1 is divided by y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 41824.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 3, d: 3, w: 2, l: 1}. Give prob of sequence twd.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(378\/26) + 12\/54. Which is the second biggest value? (a) -1 (b) g (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1284997481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7.47 - -3.47. What is the closest to 22 in -5\/2, -2, 1\/8, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.68 times -1076755\nAnswer: 732193.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2. Let i(b) = -486369*b. Determine i(k(c)).\nAnswer: 486369*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.25 equal to 20.17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-7 + 2) - 4.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 87975 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 52859 - 422945\/8. Calculate the common denominator of r and 2\/(-6)*34\/24.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = -5*i, -o + 38*i - 42*i = -26 for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-21)\/(-252))\/((-6)\/32))\/(4\/(-36)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99883 is divided by 3329?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -947184778*o**4 + 11*o**2 - 588945*o + 5?\nAnswer: -22732434672*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the second derivative of -a**5\/20 + 11*a**4\/12 + a**3\/2 + 7*a**2\/2 - a. What is the units digit of y(11)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 16983*l - 118871. Calculate x(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1044 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 120 - 119.96. Sort -1, -4, l, -1\/5 in increasing order.\nAnswer: -4, -1, -1\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + (31 - 19) + -8.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -68734665076*m - 5*m**3 + 7*m**3 + 68734665076*m.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + (2 - (0 + -5)). Solve -q + x = -2*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((1 + (sqrt(200)*-1 - sqrt(200)) + (sqrt(200) - sqrt(200)*2) + 1 + sqrt(200))**2 - (sqrt(200) - (3 + 3 + sqrt(200)) - (3*sqrt(200)*-4)**2)).\nAnswer: -80*sqrt(2) + 29612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -844.952 - -845. Which is the second smallest value? (a) g (b) 3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73304305 bigger than 73304303?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 780 (b) -91 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 234 = -10*u - 88 - 88 for u.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a decade?\nAnswer: 105","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t. Let o(v) = 22695*v**2. Calculate o(q(n)).\nAnswer: 90780*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 2:28 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 133*i - 136*i + 4 = 2*w, -4*i + 5 = 3*w. Let v be (i\/5)\/((-176)\/(-110)). Which is the nearest to -1\/3? (a) v (b) -2 (c) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13266 - (1 + 2))\/(1\/(-1)). Suppose 9*t - k = -1056. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 53 - -2e46e?\nAnswer: 2e4c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -3. Suppose 0 = 3*f + 9, f - 4 = p + 4*f. Determine z so that -z**2 + p*z**2 - 3*z**m = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 121089 + 6911. Suppose 2*p = 3*p + y. What is p rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 10*f - 5. Let k(b) = 1. Calculate 5*k(m) + u(m).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from gtzkkkkgkzkkkkktkgkk?\nAnswer: 143\/570","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 52160574 to the power of 1\/5, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*u - 3*u + 2 + u)*(2*u - 8*u + 2*u + (3 - 3 + 1)*(5*u - u - u) + 10*u - u - u).\nAnswer: 7*u**2 + 14*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1733, -1765, -1845, -1997, -2245?\nAnswer: -2613","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 769 at most as big as 89183\/116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/22 and 11\/195142?\nAnswer: 2146562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 + 15 + 15 + (-3 - 1 + 5)*(5 - 1 + 2))*(-5*b + 2*b + 4*b + (2 - 2 + 2)*(9*b - 4*b + 2*b)).\nAnswer: 30*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 4:24 PM?\nAnswer: 8:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10, 79, 266, 631, 1234?\nAnswer: 2135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 10 - 6. Suppose -c = r - 3 - 1, r - 16 = -h*c. Let v(x) = r*x + 0*x - 2*x. Let z(w) = 3*w. Give v(z(l)).\nAnswer: -6*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.60324959 rounded to one decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(25))\/sqrt(5) + sqrt(5) + sqrt(605)*5.\nAnswer: 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, 608, 2, -0.06, 69?\nAnswer: 608","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -5*u**3\/4 - 5735*u**2\/4 - 2188515*u\/4 - 277805745\/4 = 0?\nAnswer: -399, -349","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22677?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 172997 smaller than 172995?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 5*n**2 - 1462*n + 20831. What is y(15)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = u - 2*p - 1, -6 = u - 3*p. Let c be (u\/(-45))\/((-2)\/42). Is c\/((-35)\/25) + 38 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47836936 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 57 and 570?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*1\/(-3)*12. Suppose -4*g + 568 = p*c, c - 319 - 243 = -4*g. List the prime factors of g.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 - 4*d + 7. Let u be m(-5). Let s be -1 - u\/(-2) - -3. Solve -10 = -2*v - s*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -96, -286, -502, -744?\n\"Answer: -13*y**2 - 151*y + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3, 1\/6, -4, 84?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*k - 859*k + 507*k.\nAnswer: -314*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oooo when four letters picked without replacement from {o: 10, r: 10}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (8 - (1 + 3)) + -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1585135*l**2 - 859191 wrt l?\nAnswer: 3170270*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-7.39\nAnswer: 2.217","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54290707, 108581412, 162872117, 217162822, 271453527, 325744232?\nAnswer: 380034937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2a4b90 (base 13) to base 9.\nAnswer: -1853160","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-3))\/((-20)\/240)*1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14, 215, 936, 2389, 4814, 8451?\nAnswer: 13540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 23\/2124 and -145\/96.\nAnswer: 16992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 219a7 - 5?\nAnswer: 219a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2201178 to the nearest integer?\nAnswer: 130","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 3*o - 44 = i, 0 = i - 5*o + 44. Let w = -40 - i. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 8*v**3 + 3*v**2 + 11. Let u be g(-7). Let m = -1679 - u. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is c in 63*c**3 + 94692*c**2 - 90243*c - 4512 = 0?\nAnswer: -1504, -1\/21, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 252*z - 27254 = -160*z + 3234 for z.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -5, 28996?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/24*(-5 + 2). Sort v, 1, -0.3, 2\/11 in increasing order.\nAnswer: v, -0.3, 2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + 703?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 451 + -312. What is the units digit of 1\/(-2)*12 + h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h**2 - 2936*h = 0. What is h?\nAnswer: -1468, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11 + 1 + -1 + (503 - 504)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w + 1. Let l(z) be the third derivative of -z**4\/24 - z**3\/6 + 2*z**2. Let j(h) = 5*l(h) + y(h). Calculate j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((t\/t**(-4\/5))\/t)))\/t)\/(t*t**9*t) assuming t is positive.\nAnswer: t**(-56\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2695063.46 and 720?\nAnswer: 2694343.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 34588 to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -3*s**2 - 11*s + 2. Let p be x(0). What is the third biggest value in 1\/2, 10, p, -2\/9?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 21 = -9. Suppose -4*k = 2*s - 5*s + 129, x*k = -3*s + 129. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 2*g**2 + 2*g + 6. Suppose 2*i - 5*c = -8, -4*i + c = -0*c + 16. Calculate t(i).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (f + 0 + 2 + 0*f)*(144 - 144 + 2199*f) in the form d*f**2 + i + v*f and give d.\nAnswer: 2199","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 55 - 52. Suppose -x - g + j = -5, -5*g = -x + 8. What is the highest common factor of 56 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 266 divide 10709958?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(475) + (sqrt(475)*-3)**2) + sqrt(475) - -3*(sqrt(475) + 2).\nAnswer: -17094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133066 (base 9) to base 15.\nAnswer: -18ed9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-9599)\/((-1)\/(-4)*-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3805370734.\nAnswer: 2, 11, 199, 869203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1767 + 3530. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -18. Let j = 48 + y. Calculate the remainder when j is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.12 + -0.02. What is the second smallest value in 0.4, -5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the third derivative of g**2 + 2\/3*g**3 - 1\/24*g**4 + 0*g + 0. Let k = 17 + -11. What is q(k)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n**(5\/3))**(-35))**(2\/61) assuming n is positive.\nAnswer: n**(-560\/183)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2\/6)\/(12\/828). Let i = u - 27. Which is the nearest to -2\/7? (a) 5 (b) 0 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1967?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 23*g**2. Let w(v) = 63*v**2. Determine l(w(u)).\nAnswer: 91287*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.53 times 866?\nAnswer: 2190.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 16053\/108656?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62 = 5*p - 3*q, 26*p - 6*p = 21*p + 18*q + 62 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14*j**2 - 2*j**3 - 197*j**4 - 2*j + 2 - 16*j**2 + 199*j**4 + 9*j**2 to i*j**4 + d*j**3 + c*j**2 + y*j + r and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -106\/729? (a) -0.4 (b) -4 (c) 3\/5 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 317133292?\nAnswer: 2, 7, 23, 103, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 537 is divided by 132?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3 - (2 - 3 - 6)) + 328\/(-72). What is the nearest to 6 in -1, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from cccpccdpccdcccc?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 945 = -12*r + 21*r. Calculate the highest common factor of 55 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5577136249?\nAnswer: 43, 129700843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 62 = 4*w, 2*d + 2*w + 4 = 44. Suppose 10 = 4*o + d. Let b = -13\/43 - 279\/215. Do b and o have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 26*h**2 - 12*h - 2. Let f be s(-8). Let c = f - 3611\/2. What is the common denominator of 4 + -5 + 16*4\/(-22) and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7 - 28 + 21 - 211*k**3 + (1 - 1 - k**2)*(5*k - k + k).\nAnswer: -216*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -1.7. Let v be (-378)\/(-945) - (-4)\/(-10). Which is the third smallest value? (a) v (b) 35 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 45 and 5175?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 788513580 a multiple of 5562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 times -0.7?\nAnswer: 22.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the third derivative of o**6\/120 + o**5\/15 + o**4\/8 + o**3\/3 - 9*o**2. Is q(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2\/5 + 32*g\/5 + 32 = 0. Calculate g.\nAnswer: -4, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**3 - w**3 - 2*w**3 + 5*w**2 - 6*w**2 - 88*w**3 + 30*w**3 + (-2*w**3 - 16*w**3 - 2*w**3)*(1 - 1 - 2).\nAnswer: -20*w**3 - w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/15)\/(4\/(-100)). Let z(t) = -16*t - 2. Let f be z(-2). Calculate the highest common factor of f and c.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkkmmkkkkkkmmkkkmm. Give prob of picking 1 k and 1 m.\nAnswer: 8\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(272) + 0)*4.\nAnswer: 32*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/((-8)\/24*(-18)\/(-4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -2\/19623?\nAnswer: -2\/19623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-30)*-6*1. Let k = -142 - -213. Let c = k + -70. Are c and m nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/28)\/(3772\/164*(-2)\/(-46)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -17 + 16.6. What is the smallest value in m, 5, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**2 - 15*c - 72. Let k be g(23). Let m = k - 93. What is the greatest common divisor of 665 and m?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -0.2 (b) 9 (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18665094977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00020831 rounded to 5 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24698 + 4425 - 49 + 19*p.\nAnswer: 19*p + 29074","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -41982 or -41983?\nAnswer: -41983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*4154\nAnswer: 415.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.2 + 13.8. Let s = -15 + g. What is the second biggest value in -3, s, 2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 67*d**5 - 6 - 378*d**2 + 4*d + 378*d**2 wrt d.\nAnswer: 1340*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4782.00002294 + -4782. What is p rounded to five dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-15)\/g**(-1\/12))\/(g*g\/(g*g**(-2\/21)))**(2\/5) assuming g is positive.\nAnswer: g**(-6449\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -3*s**2 - 2*s**2 + s**2 + s**2. Let g(n) = -4*n. Let z(y) = -15*y. Let b(j) = 9*g(j) - 2*z(j). What is w(b(f))?\nAnswer: -108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 + -17 - (14 + -6 - (16 - 1))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.7665m to kilometers.\nAnswer: 0.8567665","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29098, 29115, 29132, 29149, 29166, 29183?\nAnswer: 29200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -329503916*k**3 - 34335*k**2 + 4*k + 232 wrt k?\nAnswer: -1977023496","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 5, 24760 in ascending order.\nAnswer: 0.4, 5, 24760","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 times -0.010593?\nAnswer: -0.00074151","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**4\/24 + k**3\/6 + 2*k**2. Let b be d(5). Let w(z) = -z**3 + 6*z**2 + 2. Let x be w(b). Solve x*f = 6*f - 20 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -85 and -1152970?\nAnswer: 1152885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -894869205?\nAnswer: -894869205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019321 rounded to seven dps?\nAnswer: -0.0000193","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 67 (b) 2\/279 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 5*g + 5. Let l be d(5). Let z be -1*(l\/2)\/5. Let p be (-2)\/(-12) - 266\/588. What is the second biggest value in z, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 1 + sqrt(1377) + 3*sqrt(1377) + -5 + (-4 + 3*sqrt(1377) - (-3 + sqrt(1377)*1 + sqrt(1377) - sqrt(1377))))**2.\nAnswer: -432*sqrt(17) + 49588","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 127? (a) 4 (b) 4\/5 (c) 8\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -15320323 + 135?\nAnswer: -15320144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, z: 1, g: 2, o: 2, s: 1, c: 1}. Give prob of sequence fg.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*v = 41*v + 60*v - 680 for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2703 + -4\nAnswer: -2707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:42 AM?\nAnswer: 9:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/224 and -41\/272.\nAnswer: 3808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 3*i = 2*i + 32, 5*u - 4*i - 62 = 0. What is the smallest common multiple of 8 and u?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1310776688 + -2656.\nAnswer: -1310779344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, e: 4, g: 3}. What is prob of sequence eyey?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2145 - 36*d**2 - 43*d**2 + 124*d**2 - 47*d**2 - 3378.\nAnswer: -2*d**2 - 5523","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -43750600 and 0.1.\nAnswer: -4375060","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*f + 61 = -f - 367*v + 370*v, 0 = v - 26 + 7 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 7 + -2. Let n be 5995\/49050 + (-1)\/(-10). Which is the third biggest value? (a) n (b) 3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(-5 + (sqrt(11) - (sqrt(99) + 3))) + (5*(-1 + sqrt(1584)*-1))**2.\nAnswer: 602*sqrt(11) + 39633","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 7448419 a multiple of 77?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mm when two letters picked without replacement from {a: 1, r: 1, m: 2, v: 1}?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 40862 - 40862 + 635*k**2 - 35*k**2.\nAnswer: 600*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 5:40 PM?\nAnswer: 11:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5, 0.062, -20\/9, -0.1, 3?\nAnswer: 0.062","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -325527000 and 0.4.\nAnswer: -130210800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33011 + -10123303?\nAnswer: -10222320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 6:57 AM?\nAnswer: 6:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 158 - 88. Let s = k + -66. Solve 8*h = s*h - 4 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/5*60\/(-18). Suppose 2*o - 4 = -4*h, 3*h + q = 2*o + 4*h. Calculate the remainder when o is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 76 + 26. Suppose -77 = -5*n + 5*q + 18, -2*n + 3*q = -39. Calculate the least common multiple of n and a.\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21 - -21) + (-4 - -1) + 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**3\/6 + 2*p**2 - 4*p. Let n(g) = g. Let i(v) = -v**3 - 16*v**2 + 17*v + 1. Let x be i(-17). Calculate x*s(m) + 5*n(m).\nAnswer: 5*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196 = -2*a + 6*a. Suppose 4*o - 5*t = a, -t - 23 + 0 = -3*o. Suppose -p + 3*l = 0, o*l - 5 = l. Solve -p*j - 3 = 3*z, 4*z + 10 = 2*z - 4*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*j - 2*j + j)*(-7 + 3 + 2) + (1 - 2 - 3)*(-4 + 1 + 4*j + 1) in the form n*j + s and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 64*j**2 + 5*j - 4. List the prime factors of s(2).\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 27367*z**2 + 260*z - 101. Let n(l) = -13683*l**2 - 123*l + 51. Let d(b) = -6*h(b) - 13*n(b). Find the second derivative of d(r) wrt r.\nAnswer: 27354","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -8012\/21 > 660?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -25 + 52. Let h(u) = -17*u**2 - 591*u - 439. Let b be h(-34). Calculate the highest common divisor of c and b.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -8*r + 9*r. What are the prime factors of ((-1128)\/20)\/(r\/(-10))?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -21.0431 and -21.\nAnswer: -42.0431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 60 - 60. Let n be 4 - (-1 + 1 + 2). Suppose 8 = 3*b - n*u, -4*b + 5*u + 3 = -3. Solve d + g*d = -b for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305 by -10733.\nAnswer: -305\/10733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 815, 1630, 2433, 3218, 3979, 4710, 5405?\nAnswer: 6058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(128) - (sqrt(128) + -1 + sqrt(128) + 3))**2 + ((sqrt(128) - 2*sqrt(128)) + 1)**2.\nAnswer: 16*sqrt(2) + 261","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/13, -5, 1\/4?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 977025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-66)\/(-11))\/(-1*1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -j**2 - j + 8. What is the least common multiple of 10 and i(0)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2080)\/2520 + 4\/(-14). Which is the nearest to 2\/7? (a) w (b) -6 (c) 0.5 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -5, -4, 0.1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 772429 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -237, -829, -1421, -2013?\nAnswer: -2605","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -1570*k - 35965. Determine g(-26).\nAnswer: 4855","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12581 and 123533.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 9*f - 66. Let o(t) = 6*t - 45. Let z(i) = -7*o(i) + 5*r(i). Determine z(11).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213986 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4717 - -4982. Solve -5*q + i = 235 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m = 2*m + 5*x + 29, -5*x - 23 = -m. Let t(g) = 2*g**3 - 2*g**2 - 3*g - 1. Give t(m).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*-1.092\nAnswer: 0.04368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 13663440 divided by -504?\nAnswer: -27110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 904 + -904. Let z(m) = 2*m**2 + 13*m - 7. What is z(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/(2 - 3). Suppose l*w + 6 = -3*w. Let y = w - -8. Solve 3*u - 5*r + 17 = 0, u + u = 2*r - y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 207, 807, 1799, 3177, 4935?\nAnswer: 7067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - n + 8, 0 = 2*y + y + n - 26. Suppose 0 = -k - 1 + y. Calculate the remainder when 63 is divided by k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -963 > -965?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3189426.77211149613 + -25.37213749613. Let a = 3189398 - j. Let s = a - -3.4. What is s rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 119.7 + -119.700001625. Round n to six dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (8 - 8)) + 6 + -1 + -5?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 30 (base 4) to base 11\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n - 242 = 7*n. What is the greatest common divisor of 66 and n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 17901 and 442.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -3107425*x. Let p(u) = -3*u**2. What is c(p(m))?\nAnswer: 9322275*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes after 5:22 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1388 = 197*v - 193*v. Let x = 347 - v. Solve x = n - 4 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*j + 663 = 593 for j.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i**3 - 2*i**2 + 20*i - 16 = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 26 = 2*n, -5*f - 8 = 12. What is the remainder when (89 - -3)*4*(-1)\/(-4) is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 11*u. Let k be (-2)\/(-4)*12\/(-33). Which is bigger: u or k?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -285 divided by 5?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 140, 255, 354, 437?\n\"Answer: -8*z**2 + 139*z + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -54688 divided by -4?\nAnswer: 13672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -9*v + 2. Let y be h(-2). Suppose 0*b = -5*b. Suppose -70 = -3*m - 4*x, -y = -m - b*m + 2*x. Is 11 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of -31*g**6\/120 - 8*g**3\/3 - 23*g**2. Differentiate v(d) with respect to d.\nAnswer: -93*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10142 + 46360 = -2786*q for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1 (b) -21 (c) 9 (d) -1\/26 (e) -22 (f) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qeev when four letters picked without replacement from {v: 2, e: 2, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from {g: 1, j: 3, f: 1, a: 1, i: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -47 + (-1 + 2)\/(-1). What is the common denominator of -55\/16 and (4\/h)\/(3\/453)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -55.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13585 and 1805.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 118 + -59. List the prime factors of k.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 g when two letters picked without replacement from vvvvvvkvkgg?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -183*v - 365*v + 281*v - 467*v as r*v + j and give r.\nAnswer: -734","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 88 (b) -5 (c) 0.8 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7849386*h**2*k*p**3 + 2*h**2*p**3 + 5*h*k*p**2 - 11*h*k - 7*h*p**3 + 4*k*p**3 - 32*k*p wrt h?\nAnswer: 15698772*k*p**3 + 4*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 13 = -3*r. Suppose 0 = 91*f - 82*f - 45. Solve 5*s - 13 = -4*n, r*n + 2*s - f = 5*s for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 6, z: 4, k: 10}. What is prob of sequence ozkz?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12081584 is divided by 2527.\nAnswer: 2524","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 4 (b) -10 (c) 35 (d) -3 (e) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the third derivative of 17*t**7\/1575 + 19*t**6\/900 - 83*t**5\/450 + 41*t**4\/180 + 2*t**3\/15 + 137*t**2. Find g such that q(g) = 0.\nAnswer: -3, -2\/17, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.8 in -2, -2\/89, -0.087, -0.1?\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vg when two letters picked without replacement from lgglvvggll?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 32*w**2 - 72. Let i(j) = 1. Determine 144*i(l) + 2*x(l).\nAnswer: 64*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*y + 2 = 0, -3 - 6 = -5*x + y. Factor -10*r**x + 20*r**3 - 11*r - 5 + 6*r**4 + 9*r**4 - 9*r.\nAnswer: 5*(r - 1)*(r + 1)**2*(3*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. What is the closest to 2 in f, 2\/7, 0.1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 106429881?\nAnswer: 3, 35476627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 8*h**3 + 2*h**2 - 4*h + 10. Let n(z) = 3*z**3 + 2*z**2 - 2*z + 5. Let k(v) = -5*n(v) + 2*x(v). Determine k(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -5*y**2. Let t(f) = -9462471*f. Calculate d(t(c)).\nAnswer: -447691787129205*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 q when two letters picked without replacement from bqnq.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.8673 times -0.5?\nAnswer: 12.93365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 21*u**2. What is the units digit of o(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*-5*2*sqrt(3) - 3*sqrt(6)\/sqrt(2)*2.\nAnswer: 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 8 - 3. Suppose -4*f + c*f = 4. What is the remainder when f is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 1 = -0*i + i, 3 = -3*i - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31438 - (-17 + 23 - 24)?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n = 3*u - 33, -5*n - 3*u - 6 = -120. What is the highest common divisor of 288 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*-1*(-1*(sqrt(7) - sqrt(112)) + sqrt(7) - sqrt(1008)*-2)*-3.\nAnswer: 252*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 663 and 51.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the first derivative of -y**6\/2700 - y**5\/900 + y**4\/90 - 4*y**3\/3 - 2. Let k(c) be the third derivative of d(c). Factor k(j).\nAnswer: -2*(j - 1)*(j + 2)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 + -37 + -20 - 2) + (4 - 2 - 3)\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 1759*m**6\/3 - 2749*m**3\/3 + 906. Find the third derivative of x(r) wrt r.\nAnswer: 211080*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6809833.\nAnswer: 6809833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 210 a factor of 9240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/10*2\/8.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = -3*m + 21, 5 = -5*o - 4*m + 28. Suppose -2*k + 1 + o = 0. Factor 0*t**k + 1\/2 - 3\/4*t + 1\/4*t**3.\nAnswer: (t - 1)**2*(t + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + (14 + 2 - (-6 - -32))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*-1 + 4 + 4. Suppose -5*f = -5*d - 72 + 22, 4*f + 2*d = 52. Suppose l*m = f*m - 2154. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1423758 and 19838.\nAnswer: 18508854","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -d - 1. Let m(t) = 27*t + 7. Let a(w) = 3*i(w) + m(w). Let x be a(5). Suppose x + 89 = c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 + 464*s - 5709. Let x be o(12). Let -2\/5*t**5 - 2\/5*t**4 - 2\/5 + 4\/5*t**2 - 2\/5*t + 4\/5*t**x = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -23835, -23359, -22565, -21453?\n\"Answer: 159*t**2 - t - 23993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 48 and 291.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2120 + 2125. Let b(p) = p + 20. Let k be b(0). Solve j*w + 0 - k = 0 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4768 and 16?\nAnswer: 4768","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in i**3 - 8*i**3 - i**3 + 6*i**3.\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -47\/5 < -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.158 - 0.952. Let s = z - -1.26. Put 2\/3, 0, 3, s in decreasing order.\nAnswer: 3, 2\/3, s, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/2)\/(5\/((324\/261)\/18))?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -19783036 divided by -860132\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 9196 (c) -10 (d) -3\/4 (e) 0.3 (f) -349\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 4)*(3 - 3 - 3)*(-5*m + 13*m + 15*m).\nAnswer: -207*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 43 - 10 - 16 + 400*p**2 - 1 + 3*p. Is u(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 11360641 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3860 divided by -5\nAnswer: -772","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/14*(0 - -4). Let a(f) = f + 6. Let q be a(p). Suppose 3*o - b + 2 = 15, 5*o - b - 25 = q. Let w(j) = j**2 - 7*j - 6. Calculate w(o).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -12008.9\nAnswer: 48035.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 + 34*k**2 - 13*k - 13. Let l(u) = u**2 - 19*u + 24. Let r be l(19). Suppose -3*q + 27 = -r. Is m(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7)\/((-546)\/48)*(-10)\/(-80)?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 + (12 - -2))\/(-26).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15*p - 39 + 2*p + 40)*(10 - 11 - 5 + (4 - 6 + 3)*(0 + 1 - 3)) to the form q + o*p and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**2 + 10*z - 5. What is a(11)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -142, -2243, -5744, -10645, -16946, -24647, -33748?\nAnswer: -44249","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -678007129180 take away -0.05?\nAnswer: -678007129179.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 174.\nAnswer: 3480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 193\/24 greater than 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d + 19*d + 8 - 29*d. Let w be b(-4). Let v(j) = -2*j - 4. Let p be v(-6). Calculate the greatest common factor of w and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4*p**4*s**3 + 291*p**2*s**3 + 562*p*s**3 wrt p?\nAnswer: 48*p**2*s**3 + 582*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 262038 and 1224?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25*o - 18*o + 3*o)*(19 - 19 - 4*o) to the form q + g*o**2 + u*o and give g.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l**3 + 3*l**2 - 675*l - 6. Let o(v) = 13*v**3 - 10*v**2 + 2026*v + 20. Determine -3*o(x) - 10*q(x).\nAnswer: x**3 + 672*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 235, 353?\nAnswer: 471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (-19 - -10) - -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**3\/7 + 1593*g**2\/7 - 47904*g\/7.\nAnswer: -3*g*(g - 499)*(g - 32)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2761, -11317, -25671, -45829, -71797, -103581?\nAnswer: -141187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5173 is divided by 112?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 2666811 (base 9) in base 13?\nAnswer: 3c234a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c**3 + 9*c**2 + 5*c - 10. Let o be q(-8). Suppose -2*u - 5*u = -o. Suppose 38*p = 37*p + 4. Solve 22 = u*g + 5*v, 0*v - v = -p*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27100984.\nAnswer: 2, 71, 47713","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 5? (a) 15 (b) -4 (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 50066.\nAnswer: 2, 25033","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + 10 + (-22 - 25)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -3*f**2 + 55*f - 15*f - 40*f. Let n(t) = 5*t - t + t + 5*t. Give u(n(g)).\nAnswer: -300*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(-3*5*(1 + sqrt(2448)) + 2 - (sqrt(2448) - (1 + sqrt(2448) + 1 + sqrt(2448)) - (0 + sqrt(2448) + 0))*3))**2.\nAnswer: 54432*sqrt(17) + 7140132","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -201*r + 12*r = 33*r - 6882. Solve -r*f - 34*f = -260 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ro when two letters picked without replacement from oroollol?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 181906 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (3 - 2) - (36 - 43)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 2 - 3)*(-4 + 2 + 4)*(-2*f - 4 + 4 + (2*f - 2*f + f)*(-4 + 6 - 3) - f + 1 - 1 + 0*f - 2*f + f - f - 4*f + 4*f - f - 4*f + 2*f - 2*f + 4 - 4).\nAnswer: 330*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -23*z**7\/3 - z**4\/2 - z**3\/3 + 7*z + 5. Find the third derivative of p(r) wrt r.\nAnswer: -19320*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 51 + 40. Let g = q - 101.4. What is g rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 593*f**2 + 2862 - 597*f**2 - 14*f - 2862.\nAnswer: -4*f**2 - 14*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 10:45 AM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = f + 12. What is u(0)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 42?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from rjpbripjrrpeprp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of v**4\/12 - v**3\/2 - 3*v**2 - v. Let m(u) = u**2 - 6*u + 1. Let k be m(7). Suppose -3 = d - k. Determine s(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyhb when four letters picked without replacement from yyhybyyyy?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-246)\/(-180)*5 - 6)\/(4 + -3).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/33, 0.0786, 0.5, 0.4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o*o*o**18\/o*o*o*o*o\/((o**27\/o)\/o)*o*o**(-2\/31)\/(o*(o**6\/o)\/o*o) assuming o is positive.\nAnswer: o**(-219\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.2 in -0.1, 1\/3, 0.1, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02221900845 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**2 + 2*p - 1. Let w = -4 - -5. Let b be (-1 - w)*9\/(-2). Suppose 0 = -4*v, -c = 2*c + v + b. Calculate k(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10a649 (base 11) to base 12\nAnswer: 85430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c + 997 = -193. Let s = c + -4520\/19. Is -1 at least s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.048 take away 0.25?\nAnswer: -0.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10350762?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-4\/3)\/w*w**6)\/(w**(3\/7)\/(w\/(w**(-2)\/w))) assuming w is positive.\nAnswer: w**(152\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -3*t**3 + 3403*t**2 + 9124*t - 31836 = 0.\nAnswer: -14\/3, 2, 1137","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7175456 or 78930028\/11?\nAnswer: 7175456","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 284 divide 78668?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -955478*n**2 + 955478*n**2 - 256*n**3 + 253*n**3.\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2. Let z(d) be the second derivative of -1381*d**3\/6 + 1030*d. What is z(v(n))?\nAnswer: 1381*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -892*w**2 - 14*w + 11361*w**2 + 13*w + 11652*w**2 + 6839*w**2 + 8.\nAnswer: 28960*w**2 - w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 + -112100201231?\nAnswer: -112100201131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -2*q - 14. Suppose -4*w + 5*f = 0, q*w = -3*w + 2*f. Suppose -i + 6*i + 54000 = w. What is i rounded to the nearest 1000?\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -451 - -469. Solve 2 = 4*r + d for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 39 = -5*v, -4*u + v + 17 = -4*v. Calculate the highest common divisor of u and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64 by -1118.\nAnswer: -32\/559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 i, and 2 h when four letters picked without replacement from {r: 7, h: 2, g: 5, i: 1, c: 1}.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 493 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11094773797 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122 - 112 = -18*k - 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 7596.71 to the nearest 10.\nAnswer: 7600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 3 o when four letters picked without replacement from ooffiiiofiffiffir?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 0*p = -36. Let r = p - 34. Find z such that 0*z**r + 1\/5*z + 0 + 0*z**4 - 2\/5*z**3 + 1\/5*z**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that 0 + 9\/7*o**3 - 12\/7*o - 12\/7*o**4 + 3\/7*o**5 + 12\/7*o**2 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 17\/511?\nAnswer: 17\/511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 3*o - 24, 0*b + 3*b - 5*o - 2 = 0. Suppose 3*k - 3 = b. Is k a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 100 divide 6728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 2*b - 220. Let m = -26 - b. What is the greatest common divisor of m and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5 - -3. Let f = -16841 - -16837. Which is the biggest value? (a) -0.5 (b) 3\/5 (c) m (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 10:42 AM?\nAnswer: 2:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -29, -1\/76 in ascending order.\nAnswer: -29, -1, -1\/76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 40, -1, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -178\/133 + 20\/19. Which is the second biggest value? (a) f (b) 8 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17979*-0.1225.\nAnswer: 2202.4275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16186228 to the nearest integer?\nAnswer: 4023","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(24)\/(sqrt(432) + sqrt(432) + 1*sqrt(432) + sqrt(432) + sqrt(432)) + (sqrt(8)\/sqrt(4))**2*-3*1.\nAnswer: -6 + sqrt(2)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 72 - 12*w - w**3 - 5388*w**2 + 10770*w**2 - 5383*w**2 in the form f*w**3 + m*w**2 + n + o*w and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 = 18. Let w(l) = -l**2 + l. Let b(a) be the first derivative of 0*a - 1\/2*a**2 - 1. What is g*b(f) + w(f)?\nAnswer: -f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 + 5*c. Give x(5).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -62? (a) -3 (b) -1 (c) -3\/5 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l**3\/7 + 3644*l**2\/7 - 14480*l\/7 - 116352\/7 = 0.\nAnswer: -4, 8, 1818","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1855749\/5 + -388112. Let y = 16887 + v. Let k = -75 - y. Is k greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -70, -104, -140, -178, -218, -260?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 14. Suppose z = -n*z. Determine b, given that 1\/2*b**3 + b**2 + z*b + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*c - 52 - 20 = -2 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -130 + 130. Solve -6*c - 30 = -m*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.4, -17, -5\/1103?\nAnswer: -5\/1103","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -456 - -481. List the prime factors of j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7116?\nAnswer: 2, 3, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 21, 0, 4.\nAnswer: 0, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -173413, -173382, -173337, -173272, -173181, -173058, -172897, -172692?\n\"Answer: c**3 + c**2 + 21*c - 173436","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 AM and 5:51 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 + 12.4. Let t = -2\/515 + -499\/4120. Which is the fourth smallest value? (a) -3 (b) t (c) -5 (d) y\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1502 - -2167. Put 3, -10, 4, r in descending order.\nAnswer: r, 4, 3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17117110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -57 + 58. Suppose 3*o + b = 2*c + 3*c, -o = -3. Solve -5*y = -2*i + 15, -c*i = -3*y - 6 - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 8. Let m = o + -8. Let h = 252 + -3274\/13. Which is the smallest value? (a) -5 (b) m (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 19 = -3. Let c be (1\/1)\/(u\/(-24)). Suppose -2*s = -4*t - c + 2, -5*t = -3*s + 7. Solve -8 = 5*z - 3*d, s = -4*d + 3*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 28*b - 5. Determine h(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 25 - 5 = 0. What is the remainder when 6 is divided by q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 + 80*c + 272. Let t be a(-4). Solve -o + 2*p = -2*o + 9, 4*o = -3*p + t for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 113696358 - 113696063.999823. Let y = z + -294. Round y to five decimal places.\nAnswer: 0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.01 + 15.455. Let z = 1.6 - 1.555. Let o = f - z. Put o, -5, 1, -0.5 in increasing order.\nAnswer: -5, -0.5, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*t - 2*t + 10. Let y(j) = -4*j + 6 - 5*j + j**t + 4*j. Calculate y(5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 8 - 4. Suppose 2*c - 4*m + 521 = 7*c, t*c - 423 = 3*m. Is 35 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c - 5. Let m(a) = -3*a + 7. Let p(f) = -4*h(f) - 3*m(f). Let b(w) = -25*w + 43. Let z(j) = -b(j) + p(j). Find the first derivative of z(k) wrt k.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**7\/840 - w**5\/240 - w**2. Factor p(t).\nAnswer: t**2*(t - 1)*(t + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-2))\/(2\/((-24)\/(-30))).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 18008838 - 4?\nAnswer: 18008834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-12)\/4 - -100) + 4. Suppose 4*l - 2*l + 8 = 0, 0 = j + 4*l - y. Does 9 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*s**4 + 236*s**3 - 86628*s**2 - 3071356*s - 26352176 = 0. What is s?\nAnswer: -164, -17, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5291 + 5292. What is the closest to -4 in 6, j, -3\/4, 2?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 55361 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1112210, -1112196, -1112182, -1112168, -1112154?\nAnswer: -1112140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 5:01 PM?\nAnswer: 647","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 78 + 111 = 0. What is the remainder when i is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(7\/6)\/((z**(-18)*z*z)\/z) assuming z is positive.\nAnswer: z**(109\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*s = 61*s - 11230. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor n**2\/8 - 33769*n\/4 - 23965523\/8.\nAnswer: (n - 67891)*(n + 353)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -46 + 49. Suppose 0*j + 6 = h*j, -4*j = -x - 5. Let d = 2 - -1. Solve -2*u + d = -5*u - x*q, 2*u - 4*q + 2 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l = -533391 - 656609. Round l to the nearest ten thousand.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7485 + -7485.0184. Is h > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 + 11*x**2 + 10*x + 1. Let y be o(-10). Suppose 0 = 3*v - 13 + y. What is the units digit of (v\/5)\/((-12)\/(-90))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 274929 or 274931?\nAnswer: 274929","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from wsswwpwswss?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 255 + 246 - 1219*s**2 - 169 + 68*s**2 wrt s.\nAnswer: -2302*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-4950)\/44)\/225)\/((-1)\/(-36))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 261733?\nAnswer: 31, 8443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d**(1\/3))\/d)**(5\/2)*(d\/d**(2\/7)*d)**(1\/11) assuming d is positive.\nAnswer: d**(457\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - j - 10 = 0, l + 2*j = j. Suppose -l*x + 435 = -0*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1722.6423 or 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 618 is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 15016.134 months in millennia?\nAnswer: 1.2513445","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(98)*4 + sqrt(98))*-2 + -4 - ((sqrt(98) + sqrt(98)*-2)*3 + (1 + sqrt(98) + -2 - sqrt(98)) + 5)**2.\nAnswer: -899 + 98*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**(1\/9)\/(q\/(q*q**(-9))) assuming q is positive.\nAnswer: q**(-80\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 + 1. Let n = 4.01 + -0.01. Let h = -5 + 0. What is the second biggest value in n, h, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -16832, -16830, -16828, -16826, -16824?\n\"Answer: 2*t - 16834","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 523\/(-523)*(-28)\/(-22)?\nAnswer: -14\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaunakkuuccan. Give prob of picking 3 k and 1 n.\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-26))\/((-104)\/208). What is the closest to 0.4 in -0.3, -2\/9, l, 8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148874 in 1\/2, -8, 5, 2\/73?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (-7 - -8 - 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the first derivative of -n**2\/2 - 2*n + 11. Give h(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 275*y + 7399. Calculate s(-27).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.1, -238\/9, -1\/5.\nAnswer: -238\/9, -4, -1\/5, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**2 - 3*s + 1. Let j be h(-2). Suppose 2*k + 3 + 7 = -w, -5*k = -w + 18. Let x = w + j. Which is smaller: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 0 + 1)*(-5 - k + 5 + 10 + 16*k - 10 + (-2 + 2 - 1)*(-k + k - 2*k)) as a + d*k and give d.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dppp when four letters picked without replacement from {d: 7, p: 5}?\nAnswer: 7\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 9*k - 6. Let g be z(-8). Suppose -g*f + 81 = -4*o - 57, -2*o - 10 = 0. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*m + m - 3*m**3 + 3*m - m.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003827250142 rounded to 6 dps?\nAnswer: -0.000383","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 19 - 46. Let u = q - -35. Let s = u - 9. What is the closest to -1\/4 in s, 2, 8?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 453875 is divided by 1907?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4537 - 3799. What is the greatest common factor of c and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a*a\/a**(-1\/3))\/a*a)**(-33)\/((a\/a**(-8))\/a**(5\/3)))**(2\/13) assuming a is positive.\nAnswer: a**(-506\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 164, -2, -28, 0?\nAnswer: 164","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 3*v + 3, 4*m - 3*m = -v. Let s = -1299 + 1307. What is the lowest common multiple of m and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 1. Let z = 7 + p. Solve -2*b = -0*b + z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 - (-23 + (16 - (29 - 14)))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 1 c, and 2 x when four letters picked without replacement from clclecllllxx.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -31 - -35. Suppose h + 37 = 3*f - 10, -5*h + 50 = 4*f. Let z be (f\/(-10))\/(9\/(-12)). Solve z*l + 0*l = -q for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(264)*-6 - sqrt(264))\/((sqrt(1452)*2 - sqrt(1452)) + sqrt(1452)))\/((sqrt(10)*2*3)\/sqrt(5)*5))**2.\nAnswer: 1\/1584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 957680 divided by -47884\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 - 43*j - 26. Let v be z(0). Sort v, -4, -2, 7 in ascending order.\nAnswer: v, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*s - 2280 - 2272 - 2276 + 9107 - 2279.\nAnswer: -10*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 397 is divided by 103.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (37 + -18) - 5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1613, -3191, -4769, -6347, -7925?\nAnswer: -9503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -467*b**3 - 566*b**3 + 15*b**3 - 595*b**3 - 337*b**3.\nAnswer: -1950*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + -2 + -3 + -28 + 22 + 60?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2034, 2031, 2036, 2055, 2094, 2159, 2256?\n\"Answer: o**3 - 2*o**2 - 4*o + 2039","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is o in -o**4\/3 + 34*o**3 - 196*o**2 + 1160*o\/3 - 256 = 0?\nAnswer: 2, 96","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 7 + -35 + 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000381470997 rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*r + 4 = 0. Suppose 5*z = -r*t + t - 6, 3*t = -z - 6. Solve 3*o = -1 - 2, z = 4*n + o - 11 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2786314, 5572632, 8358952, 11145274, 13931598?\nAnswer: 16717924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2611.009616 + 2611. What is o rounded to four dps?\nAnswer: -0.0096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -353*x + 351*x + 4*q = 20, -6 = -2*q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/564)\/(16172\/14617)?\nAnswer: -3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -68 - -257. Let p = f + -189. Let k = 86 + -600\/7. What is the third smallest value in -3\/4, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -312*g**5\/17 - 9358*g**4\/17 + 372*g**3\/17 + 9358*g**2\/17 - 60*g\/17 = 0. What is g?\nAnswer: -30, -1, 0, 1\/156, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - 0 - -1)*-1. Suppose 3 = -3*y - 9. Let k be y\/6*3\/7. Do k and s have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 184.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g - 11. Let t be q(-13). Sort -5, t, -2 in descending order.\nAnswer: t, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9a7 (base 11) to base 10.\nAnswer: -1206","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 5716?\nAnswer: -5716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 874 is divided by 52?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -27?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 237, 2300, 6305, 12252?\nAnswer: 20141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -91\/102 and 21\/59.\nAnswer: 6018","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -77 divided by 45\nAnswer: -77\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -6162 divided by 6\nAnswer: -1027","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**2 - 6*a - 24. Calculate d(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7 - -1. Let b be (-3603)\/(-6) - f\/(-12). Suppose 2*y + 0*y + 620 = 2*x, -2*y + b = 2*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -2*v**2 + 11*v - 6*v - 5*v. Let m = 9 - 5. Let k(n) = -m + 6*n + 4. Give k(b(f)).\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 28.3 and 5.\nAnswer: 141.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -8*s. Let c(n) = -2*n. Let o(b) = 3*c(b) - u(b). Let q(r) = -9*r**2. Give o(q(x)).\nAnswer: -18*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*l + 16 = 103 - 37. Factor -1\/3*v**3 - 3 + 1\/3*v**l + 3*v.\nAnswer: -(v - 3)*(v - 1)*(v + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 0*o + 56 = o, 3*s - 163 = -4*o. Calculate the remainder when s is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*h - 4*o - 604, -4*h - o + 500 = 0. Let s be -1*(-5886)\/27*2\/4. What is the remainder when h is divided by (-2)\/(-8)*(s - 9)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -4*f + 3*f - f**2 + 1 + 6*f**2 + 2*f**2. What is the units digit of y(1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10296 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1221*t**5 + t - 637?\nAnswer: -24420*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 104 and 330993?\nAnswer: 2647944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -3*j**2 - 17*j + 53. What is g(9)?\nAnswer: -343","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (sqrt(13) - (1 + sqrt(13)))).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -499 - -246. Let k = -338 + 741. Let r = k + f. Is 38 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2535 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -3\/95153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 5, -1442, -4, -1, 33631 in descending order.\nAnswer: 33631, 5, 0, -1, -4, -1442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 7*f**2 + 4*f. Let c be (4\/(-1))\/(6\/9). Let o be d(c). Let r = -42 - o. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -27*b + 24*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*j**4 - 3*j**6 - 58*j**2 + 0*j**6 + 24*j**2 wrt j?\nAnswer: -360*j**3 + 168*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1444152 is divided by 2069?\nAnswer: 2059","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -2220212 (base 3) to base 15\nAnswer: -96e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 202751 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/315 - (-163)\/(-15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 167072 divided by -736.\nAnswer: -227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 51 = 21. Let z be ((-4)\/7)\/((-2)\/f). Suppose -4*a + 15 = -3*v - a, 0 = v + 11*a - 67. Is z > v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 74 and -0.03053248?\nAnswer: 74.03053248","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*y - 861 = -718. Let a(x) = -52*x + 678. Let j be a(y). Solve -2\/17*s**j + 2\/17*s + 12\/17 = 0 for s.\nAnswer: -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + -2 + 15 + -2. Let y be (-2)\/5*-11*5. Let u = y - l. What are the prime factors of u?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b - 3*r - 1134 + 1020 = 0, 172 = -b - 5*r - 30 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4766482 divided by -17.\nAnswer: -4766482\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 0 + 7 - 56\/14. Suppose -l*p = 5*i - 34, -5*p + 6*p - 3 = 0. Solve 32 = 4*h - 5*r, 22 = 3*h - i*r - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*s - s - 40 = 0. Calculate the smallest common multiple of (-15)\/(-5) - -2*1 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (0 - -12 - 3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 13244281 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of a**5\/70 + a**4\/14 + a**3\/7 + a**2\/7 - 5*a - 6. Let p(x) be the first derivative of h(x). Factor p(s).\nAnswer: 2*(s + 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -31 - -44. Calculate the remainder when l is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1408, -1414, -1420, -1426, -1432?\n\"Answer: -6*d - 1402","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1554 and 1344.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 + 32*k + 0*k**2 - 2*k**2 - 33*k - 7*k**3 to the form r + c*k**3 + i*k + t*k**2 and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222194004 to the nearest integer?\nAnswer: 14906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b5a4 - 6?\nAnswer: -b5aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 - 801*z**2 - 1418*z**2 + 3512172*z - 1266723368 - z**3 - 1027*z**2 = 0. What is z?\nAnswer: 1082","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 2\/5, 4162330 in decreasing order.\nAnswer: 4162330, 2\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 m when three letters picked without replacement from {u: 7, n: 4, m: 5}?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*g - 1. Let r = -1 + 1. Which is the closest to r? (a) 4 (b) -0.1 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 4*v - 10. Let o(j) = -11*j - 11*j + 19*j + v. Does 4 divide o(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -3 - 0. Let h(j) = -j**3 - 3*j**2 - 3*j - 4. Let o be h(k). Solve 5*s - i + 9 = s, -i - 9 = o*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 74111.06um?\nAnswer: 74111060","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1501 (base 9) to base 12\nAnswer: -7a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (688\/(-24))\/(-2 + 3 + (-1422002)\/1422000). Round k to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66083 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(4 + (-87)\/6). Let m = 0.3 - 0.6. Sort m, -0.4, q.\nAnswer: -0.4, m, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 4*c = -1447564, -45*c + 40*c + 361867 = m. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 1760 = 5*i - 6649, -4*i = -2*z + 4862. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 51*j**2 + 2412*j**2 - 1 + 115*j**2 as d*j + u + i*j**2 and give u.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = 50 - 54 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r = -569 - 27. Is 31 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = -0*x + 33. Suppose 3*j = s + x, s = -0 + 1. Suppose -j*h + 1353 + 4243 = 0. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(136) + -2*sqrt(136) + sqrt(136))*-1*5*-3)\/((sqrt(80) - (1*sqrt(80) + sqrt(80))*4)\/(sqrt(250) - sqrt(250)*-2))*-4.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 48 and 2943912.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/8 + 21185*t**2\/4 - 254247*t\/8 + 47673.\nAnswer: (t - 3)**2*(t + 42376)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -x**3 - 10*x**2 - 8*x + 13. What is v(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 41717527?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 12100? (a) -2\/5 (b) -4\/39 (c) -0.2 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -9b2 + -8634?\nAnswer: -9426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 4*q - 1. Let o be i(-5). Let p = -4 + o. Suppose 2*a + u = 5*a - 6303, p = -5*a + 2*u + 10506. What is a rounded to the nearest one hundred?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -22 + (1 - 10 - (1339 + -1334))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -2 (c) 5.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110939?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 236268 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7 - (0 + -2 + 4). Let q(f) = -c*f - 4*f**2 - 3*f - 7 - 4*f**2 + f**3. What are the prime factors of q(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*x = 8*x + 40. Let u(s) = -19*s**2 - 8*s + 13. Let j be u(x). Round j to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*r + 42*r = -d + 25, -5*r = -2*d + 25. Solve d = 3*m + 5*k, 4*m + 6*k = 8*k for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of ((-67621)\/3)\/((-29)\/(-1566)*-18)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and -3.55.\nAnswer: 1.349","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1644?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1*(-3)\/3 + 69. Suppose 0*t = t - m. Let o = t + -41. List the prime factors of o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 2979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:18 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10d4a (base 15) in base 16?\nAnswer: d174","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -595161 - 2?\nAnswer: -595163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3*b**5\/20 - b**4\/6 - b**3\/6 - b**2\/2 - 14*b. Calculate t(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -1, 28, 1 in descending order.\nAnswer: 28, 1, -1, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 4225591 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3.6, 0.3, -2\/3, -3\/5.\nAnswer: -3.6, -2\/3, -3\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1073093?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1174.5 + 1175. What is the third smallest value in r, -18, -1\/7?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-4))\/((-2)\/(-12)). Suppose -x*m + p + 3*p + 18 = 0, 0 = p + 3. Factor -2*u**4 - 3*u**3 + 7*u**5 + m*u**3 - 4*u**5.\nAnswer: u**3*(u - 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7 - 4*d + 3*d**2 - 105*d**2 - 120*d**2 + 8*d**2.\nAnswer: -214*d**2 - 4*d + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -0*o - 5*o + 178, -3*o + 104 = 4*g. Let m be (o\/2)\/((-1)\/3). Let u = m + 80. Is u a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4196253?\nAnswer: 3, 31, 45121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*b**2 + 3*b**2 - 2*b + 0*b**2 + 0*b**2 as j*b + c + w*b**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 18 - 0.38\nAnswer: 17.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/60 + x**5\/15 - x**4\/12 + x**2. Let o = -54 - -56. Calculate r(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k**2 - 4*k - 7. Suppose 24 = c + 2*c. Let f be q(c). Is f\/10*92\/10 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - i**2 - 3)*(-5*i + 7 - 7)*(-2 + 6 - 2)*(-2 - 6 - 2)*(-i**2 - 2 + 2).\nAnswer: 100*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 380*j - 12485. Calculate p(33).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19282 + 19336. Which is the third smallest value? (a) -3 (b) -2 (c) -2\/11 (d) 0.3 (e) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 4 - 3)*(0 + 0 - s + (103 - 103 + 52*s)*(1 + 1 - 4)).\nAnswer: 105*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179*k**3 - 6*k**2 + 14*k**3 + 71*k**3 - 23*k**2.\nAnswer: 264*k**3 - 29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 219 + -141 + (10 - 2 - 8)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 82394 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 174 - 173.8. What is the nearest to l in 0.3, -6, -2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 1 v when two letters picked without replacement from {m: 8, v: 4, k: 3, d: 2}?\nAnswer: 4\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 4:33 AM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 876360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3718176 and 264.\nAnswer: 3718176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2564*w + 2547*w + 153 for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1540 and 626.\nAnswer: -964040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192585 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3 - -3.5. Let v = 24.9 + -26. Let c = v - -0.9. What is the closest to -0.1 in c, 1\/4, w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2480?\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 15*z**2 - 10*z - 15. Let i(p) = 10*p**2 - 7*p - 11. Give -5*d(a) + 8*i(a).\nAnswer: 5*a**2 - 6*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 490766 is divided by 259.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21369 is divided by 4257?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (1 + (4 - 14) - -2).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + 7*b**2 - 273*b - 27. What is o(12)?\nAnswer: -567","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-4 + (-15)\/(-4)). Let x be ((-2)\/3)\/(s\/(-72)). Which is the nearest to -0.07? (a) x (b) 3 (c) -1 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9524454239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a - 5 = -o, -4*o + 7 = 4*a + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -64\/3 + 4*w**2 + 2\/3*w**3 + 0*w.\nAnswer: 2*(w - 2)*(w + 4)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 330*v = 796070 - 779240 for v.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/9288 and -97\/32976.\nAnswer: 4253904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(6\/(-4) + 12 + -11). Let t(u) = 2*u**2 + 34*u + 135. Let x be t(-10). Which is smaller: x or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 345041 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 41*w - 26*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 - j - 10. Let i(h) = h + 8. Calculate the smallest common multiple of i(-6) and d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -318684 (base 9) in base 5?\nAnswer: -22040402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/((8\/(-32))\/((-184)\/(-96)))?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -2*p**3 - 3*p**2 - 2*p + 1. What is the smallest common multiple of n(-2) and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1209464 is divided by 241872?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39 - -42. Let h(w) = w**2 - 10*w - 171. Let u be h(19). Factor u*x + 0 + 0*x**2 + 1\/2*x**i - 2*x**4.\nAnswer: -x**3*(4*x - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/((6\/15)\/(9\/5)). What is the biggest value in 2, -0.5, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -q - 4*d + 19, -5*d = q - 3*q + 25. Solve 0 = q*u - 47*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9694.476 weeks to microseconds.\nAnswer: 5863219084800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.1 and -135528495922.\nAnswer: -135528495921.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 64 = -4*a + 5, -36 = -a + 3*t. Let i = -29 + 29. Suppose i = -4*o + 109 - a. What is the remainder when 65 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d**2 - 5*d - 3. Let p be o(8). Let j be (-6)\/21 - (-426)\/p. Suppose -3*a + 90 = -0*a + 3*b, -4*b = j. Does 7 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes before 4:20 PM?\nAnswer: 4:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 215248371 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 171879228 to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 15\/10 - (-2)\/4. Suppose -g - n*m = -3*m + 2700002, -2*g - 2*m = 5399996. What is g rounded to the nearest 1000000?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = -3*c + 12. Let o(q) = -q**3 - 3*q**2 + 8*q + 6. Let t be o(-5). Let n(a) = a + 2. Let p be n(3). Solve 0*y - y = 4*b + c, t = p*b - 4*y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 34*h**2 + 18*h**2 + h + 137*h**2 in the form u*h + f*h**2 + s and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 73265, 292949, 658847, 1170761, 1828493, 2631845, 3580619, 4674617?\nAnswer: 5913641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add -934878158486 and -1.3.\nAnswer: -934878158487.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(288) + -1 + -1 - (((-1*(sqrt(288) + -1 - sqrt(288)) - sqrt(288)) + sqrt(288))*-2)**2)*-1.\nAnswer: -12*sqrt(2) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 64104500743 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 40282?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 - x**2 - x - 5. Let b be i(-6). Suppose -5*h = -b + 61. Let g = -60200 - -60247. Calculate the remainder when g is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -151 (base 15) in base 13?\nAnswer: -1a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 43948080 and 1089?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/131967 or 0?\nAnswer: -1\/131967","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -383180*m**2. Let x(v) = v. What is b(x(l))?\nAnswer: -383180*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-210)\/252 + (-2)\/40*174\/9.\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22620 is divided by 22137?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176 and 220?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:41 AM and 4:53 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q. Let s(a) be the third derivative of a**5\/15 - 11*a**4\/12 + 87*a**2. Give s(i(o)).\nAnswer: 16*o**2 + 44*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 2*x**5\/3 + 1830*x**4 - 675908*x**3\/3 - 686884*x**2\/3 + 225302*x + 681394\/3 = 0.\nAnswer: -2863, -1, 1, 119","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -305*h = 10*x - 311*h - 56, 4*x = -0*x + 3*h + 20 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the first derivative of -u**9\/1512 - u**5\/60 + u**3\/3 - 2. Let l(g) be the third derivative of o(g). Find the second derivative of l(z) wrt z.\nAnswer: -40*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 - 5*c - 1. Let o = 9 + -4. Let p be l(o). What are the prime factors of p\/4 - 21\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**14*r)\/(r*r\/r**(2\/29)) assuming r is positive.\nAnswer: r**(379\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 3*x + 5*l + 1245 = 0, -4*x - 4*l = -1200. Calculate the lowest common multiple of 793 and x.\nAnswer: 3965","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that h**2\/5 - 241*h - 2414\/5 = 0.\nAnswer: -2, 1207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -94 (b) 5 (c) 0.23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -43352*p**2 + 86707*p**2 - 1020*p**3 - 43357*p**2 - 2*p to s + z*p**2 + d*p + u*p**3 and give u.\nAnswer: -1020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u - 3*w = -47, w + 505 = 13*u + 33*u for u.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*o = -72*o + 1176. What is the remainder when o is divided by 50?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 225 = 5*r, 46 = 2*o - 5*r - 38. Let s = -45 + o. Let l(v) = 5*v**2 - 4*v + 9. Let w(f) = f**2 - f + 2. Give s*l(b) - 9*w(b).\nAnswer: b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1\/6*x**3 - 1\/6*x - 1\/6*x**2 + 1\/6*x**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2400549 or 2400623?\nAnswer: 2400549","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 220020 (base 5) to base 11\nAnswer: 5708","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 36989 rounded to the nearest 10000?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 11 + j - j - 2*j + j. Let n be i(8). Find the third derivative of -2*v**2 + 2*v**2 + n*v**3 + 4*v**2 wrt v.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 16, -2, 3\/2 in ascending order.\nAnswer: -2, 1, 3\/2, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 41246*k - 1031062. Give x(25).\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -113*b - 307. What is x(0)?\nAnswer: -307","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 122 + -126. Is -2 - (4\/(q + 6) + -44) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -24 + 15 + -30 + (14 - 3)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -18 (b) -0.0005 (c) 1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Let h = 2.577 + -2.177. What is the smallest value in h, 1, -433, 3?\nAnswer: -433","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 3*u = 3, -6*c - 2*u + 2 = -5*c - 5 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 PM and 6:02 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5)\/(-20) - (-15)\/4. Suppose -f*q + 206 = -34. List the prime factors of q.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 1806.\nAnswer: 9030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 422, 428, 434?\nAnswer: 440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3.088? (a) 4 (b) -0.37 (c) 1 (d) -0.8 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p when two letters picked without replacement from {n: 2, q: 1, v: 2, p: 3, j: 1, a: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 400816969 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 + -11. Let a = -3 - c. Let d = -10.0026 + a. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18 + 4 + (-6 - -12).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -14 + 2 - -1*2. Let u be (x\/(-15))\/(4\/174). Let z be (-3)\/(-2 + 5) + u. Solve 2*s + 1 + 11 = -5*a, z = -2*a + 5*s for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g**2 + 642*g + 3197. Give i(-5).\nAnswer: 137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4233\/5 + -843. Let k = 727 - 727.1. Which is greater: k or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 85*u**2 - 6*u - 3. Let q(z) = 168*z**2 - 10*z - 5. Give -3*q(l) + 5*x(l).\nAnswer: -79*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 - -14. Suppose j*v = 3*x - x - 158, 0 = -2*v - 3*x - 101. Let r = -13 - v. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2267 and -80.967?\nAnswer: 2186.033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23 by 3.\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43 + 3*l - l - 34)*(-6 + 6 - 3*l).\nAnswer: -6*l**2 - 27*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -o + 3. Suppose -17*c = -4*c + 52. Let a(v) = -v + 4. What is c*a(i) + 5*m(i)?\nAnswer: -i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g**2\/2 - 455684*g + 911369\/2 = 0 for g.\nAnswer: -911369, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 393?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - (8 + -4 + -2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2418683331.\nAnswer: 3, 806227777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 6*g + 1. Suppose -5*d = 2*d - 42. Let z be a(d). Let p(y) = -4*y**2 + y - 1. Give p(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -65*o**4*r**3 - 2*o**3*r**2 - 1076*r**3 + r**2 + r wrt o?\nAnswer: -260*o**3*r**3 - 6*o**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 445210619.\nAnswer: 7, 359, 25309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4 - 1022*o**3 + 120310*o**2 + 2668550*o = 0. What is o?\nAnswer: -19, 0, 265","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -13. Let m(g) = -g**2 - 10*g + 5. Let k be m(p). Find the second derivative of k*r**3 - r**3 + 0*r**3 + r - r**3 wrt r.\nAnswer: 18*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/3, 553, 0, -2\/11, -5, 11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 212754048 to the nearest one million.\nAnswer: 213000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**3 - 2*v**3 - v**3)*(-3*v - 6 + 6) + 2*v**4 - 2*v**4 + 6*v**4.\nAnswer: 12*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4b + aa1?\nAnswer: a54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*z - 410 + 2478 = 0. What is the remainder when 835 is divided by z?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = 73*a + 78303. Calculate r(-1073).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/6 at most 1676?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -217 != -228?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) be the first derivative of y**4\/24 + y**2\/2 + 6. Let q(z) be the second derivative of p(z). Let d(g) = 2*g**2. Determine q(d(t)).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -138 + 141. Solve 3*q - d + 16 = 0, -c*d = -2*q - 8*d - 5 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 6 = -8. Let n be ((-44)\/2)\/((-1)\/1). Let r be (-1)\/5 + n\/10. Solve -p*g = -r*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of c**6*j - 8*c**6 + 2*c**3 - 10*c**2 + 29*c*j + 2 wrt c.\nAnswer: 120*c**3*j - 960*c**3 + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put together 3 and 4188826.\nAnswer: 4188829","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -428 and -759972?\nAnswer: 325268016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*j + 3*j + 21*j**3 + 0*j.\nAnswer: 21*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3 or 20\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1275, -5315, -12055, -21501, -33659, -48535?\n\"Answer: -j**3 - 1344*j**2 - j + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1962.\nAnswer: 2, 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of j**2*x**2 - 7*j**2*x - j**2 - 4*j*x**3 wrt x.\nAnswer: 2*j**2 - 24*j*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11 + -19. Let k = -5 - m. Suppose -7*u = -46*u - 37*u + 13*u. Which is the smallest value? (a) u (b) 4 (c) 6 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3\/8, 6, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + -3 + 0 + 3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = y + 7. Let s(k) = -k**2 + 5*k - 1. Let j be s(6). Calculate u(j).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -57 - -37. Let n be (u\/6)\/(10\/(-15)). Let d be 6\/(-8) + 276\/48. What is the greatest common divisor of d and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 2*o. Let g(r) = 2*r + 14. Let v be g(-6). Suppose -v*h - 2 = -4*h. Let c be 1 - (-2 + h - -5). What is m(c)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-three fifths of a centimeter?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(171)\/(sqrt(729) + 2*sqrt(729)) + -5.\nAnswer: -5 + sqrt(19)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 12 + (13 - (60 + -18)) + 91 + 1.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*a + 77 = -4*a + 41 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/3 - l**3\/3 - 76*l**2 + 676*l\/3 - 448\/3 = 0.\nAnswer: -16, 1, 2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 2*r + 1389, 0 = -5*v + 396*r - 401*r + 2390. What is the tens digit of v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23951, 97733, 220705, 392867?\nAnswer: 614219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5360*b**5 - 141880*b**4 + 63095*b**3 + 62645*b**2 + 10520*b + 260 = 0 for b.\nAnswer: -1\/4, -2\/67, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uqqq. What is prob of picking 3 q?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2.1 - -2.27. Let c = 0.07 - q. Let f = -3 + 6. What is the biggest value in f, c, 2\/11?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + a + 28, -3*c + 4*a = 2*a - 21. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -146*i + 143*i. Let p(y) = 5*y**2 - 4*y - 3. Let f be p(-1). Solve g + i = f for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u**(2\/7)))*u**(-11)\/u)**13 assuming u is positive.\nAnswer: u**(-975\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.03 in 17, -0.52, -3\/8, 3\/5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sczfszcnvsszs. Give prob of picking 3 z and 1 s.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82821, 84367, 86943, 90549, 95185, 100851?\nAnswer: 107547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 81794 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z**2 + 7*z - 3*z**2 + 3*z**2 + 11*z**2 - 2*z + 8. Let l(a) = 2*a**2 - 4*a - 7. Calculate 5*f(q) + 6*l(q).\nAnswer: 2*q**2 + q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 35 - -705. Let b = f - 650. What is the greatest common divisor of b and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-145)\/(-58))\/(((-3)\/2)\/(-3))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j - 5*j = 2. Suppose -3*n + 6 = 2*t - 10, -3*t = j*n - 19. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.87 + -2.87. What is the closest to -2\/223 in -3, f, -5?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18068 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 7890290 to the power of 1\/3, to the nearest integer?\nAnswer: 199","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28263 by -4.\nAnswer: -28263\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(6\/(-4) - -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 99, 98, 95, 90, 83, 74, 63?\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 5*u + 2. Let p be m(-3). Suppose -4*v = 2*z - p*z - 39, -2*v + 12 = -4*z. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 52, 69, 88, 109?\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 62*q - 23*q - 117. Solve 3*b + 4*y - 11 = 0, 3*b = -2*b - q*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 19\/15209969 and -41\/327.\nAnswer: 45629907","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o - 24 = -8*o. Let k(p) = 5*p**3 - 5*p**2 + 3*p + 4. Let d be k(o). Round d to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s**5 - 2905*s**4 - 5825*s**3 - 2915*s**2 = 0. Calculate s.\nAnswer: -1, 0, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -105 - -113. Let a be d\/6*(-4)\/12*-18. Suppose 7*n - 2730 = -a*n. Is 15 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five eighths of a tonne in kilograms?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -647 or -680?\nAnswer: -680","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -452, -448, -444, -440, -436, -432?\n\"Answer: 4*p - 456","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 234738.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 13643 and 12866?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*sqrt(171) - (sqrt(19) - (sqrt(19) - sqrt(57)\/sqrt(3))*5)**2.\nAnswer: -9*sqrt(19) - 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10491 + 22611. Let g = -840 + h. What is g rounded to the nearest one thousand?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1068438?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0.18 times 0.05\nAnswer: 0.009","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 0*w - 24 = -4*w, 2*w = 3*y + 15. Let x = y + 5. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19)*-2 + 2 - (sqrt(76)\/sqrt(4) + -1).\nAnswer: -3*sqrt(19) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35*w**3 - 7*w**3 + 9*w**3 - 14*w**3.\nAnswer: -47*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 80 + -76 - (1 + 12)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -11044*t**6 - 42*t**5 + t**3 - 12*t**2 + 91*t - 63.\nAnswer: -1325280*t**3 - 2520*t**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*h - 9. Let c(z) = z + 0*z + 0 - 1. Is 2 a factor of c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 604717648.\nAnswer: 2, 37794853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5322780 and 1620.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 + 296 = 3*n. Let q(c) = 27*c**2 + 179*c + 363. Let r be q(-5). Calculate the greatest common factor of n and r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 - -3. Suppose -9*l = -4*l - 5*m, 0 = 4*m - u. Let z(x) = 2*x - 5. Calculate z(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27476 and 184.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 14*b**3 - 18*b**2 + 25*b - 162. What is the thousands digit of v(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -60 - 26626?\nAnswer: -26686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-f**3 - f**4 + 5*f**3 + 0*f**3)*(-3 - 14 + 35) as p*f**3 + h*f**4 + v*f + a*f**2 + c and give h.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 347812169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-30) + (-24)\/180. Factor r + 1\/3*s**3 + 1\/3*s - 2\/3*s**2.\nAnswer: s*(s - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 2030520 = 5*f, 27*z + f + 1015274 = 29*z. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 231 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**0)\/a)\/a)\/a*a**(-2\/21)*a**0*a**(3\/5)*(a**(2\/9)\/a**(1\/3))\/(a**(1\/3))**(-45) assuming a is positive.\nAnswer: a**(4219\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 300456393 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 10) in base 11?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*q - 507*q = -3420. What is the highest common factor of q and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 divided by -6?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 19\/92 - -1\/23. Calculate the common denominator of 2*(97\/5)\/(900\/125) and c.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(0*n - 3*n + n)*(-3 + 20 - 41) + (1 - 1 - 2)*(-4*n - 11 + 11).\nAnswer: 104*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*-100\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 787 or 7838?\nAnswer: 7838","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -129 - 6*w**2 + 2 + 127.\nAnswer: -6*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 36 - 21. List the prime factors of 223\/5 + (-9)\/j.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(78) - ((sqrt(78) - (sqrt(78) + sqrt(78)*3))*-3 + sqrt(78)) - sqrt(78))\/(-5*((sqrt(6) - (sqrt(6) - sqrt(24))) + sqrt(6))).\nAnswer: 2*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 + 3 + -5 + -1. Solve -f = -5*f - 4*h - 8, v = -3*f - h - 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 15893, -3.\nAnswer: -5, -3, 15893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 + 259. Suppose -506*j + 491*j = -885. Let q = d - j. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 108 (b) 0 (c) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 + 41*v - 184. Calculate t(13).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 486 - 6?\nAnswer: 480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 788193 or 788186?\nAnswer: 788186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**2 + k + 25. Let p be m(-5). Let q(s) = -s - 6. Let v be q(-3). Put 2, v, p in ascending order.\nAnswer: p, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 103373?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (6\/(-4))\/(3\/542). Let y = -227 - b. What is the greatest common factor of 110 and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 91 - 63. What is the remainder when h is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 6\/67, -3, 0.44, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 48 - 58 = 4*n, 2*n - 24*o - 1 = -25*o for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14 - 10. Let s(x) = 8*x - 4. Let k(d) = 2*d + 12. Let v(u) = 3*u + 27. Let g(l) = -11*k(l) + 5*v(l). Give q*s(o) + 5*g(o).\nAnswer: -3*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -841, -1816, -2797, -3784, -4777, -5776?\nAnswer: -6781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 15*h = -92 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and 0.0824.\nAnswer: -0.4176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.7541 - -0.0521. Let p = r + -0.237. Let j = p + -0.061. Which is the closest to j? (a) -0.4 (b) 5 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 18 - 20 - (-50 - 0)\/1. Let u be (10*(-470)\/8)\/(1\/d). What is u rounded to the nearest 1000?\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a tonne in kilograms?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i - i - 45 = 0. Let u = i + -11. Sort -3, u, 3\/2 in increasing order.\nAnswer: -3, u, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 16) to base 14.\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1974 + 25.\nAnswer: 1999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by -113246?\nAnswer: 3\/113246","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 12, e: 6}. What is prob of picking 3 e and 1 d?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 195302347?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 136*d**2 - 2*d - 11?\nAnswer: 272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*m + 766 = 688 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 61 - 73. Let w(q) = 26 + 964*q - q**3 - 988*q - 15*q**2 + q**2. What is the remainder when 34 is divided by w(k)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1256)\/785)\/(14\/15) - -2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-5)*l\/l**9)\/(l**(3\/7))**(-48))**(-47) assuming l is positive.\nAnswer: l**(-2491\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-63))\/((-1)\/(-12))*-3.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -33652234 + -3?\nAnswer: -33652240","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2619605 is divided by 529?\nAnswer: 526","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96568*t + 0 + 1 + 137*t**2 + 96568*t.\nAnswer: 137*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*q = 1584 - 1530 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 13873943 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 7) to base 4\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 2\/9, 2\/11, -1\/152, 3 in ascending order.\nAnswer: -1\/152, 2\/11, 2\/9, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11589 + 12181 - l**2 - 9*l**2.\nAnswer: -10*l**2 + 592","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 + b**2 + 3. Let a be s(0). Suppose 5*g - a*i = -7*i + 189, 2*g - 4*i - 70 = 0. What are the prime factors of g?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 779\/(-3) - 4\/3. What is h rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-34*294\/(-62475))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 4*f - 3 = 0, -3*d + 8*d - 16 = 3*f. Let 0*o + 1\/3*o**d + 0*o**3 + 0 + 0*o**2 + 1\/3*o**4 = 0. Calculate o.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1761 (b) -2\/7 (c) 0.5 (d) 0.219 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -140.4 in 1\/3, 9\/5, 512?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a**3 + 9*a**2 + 10*a + 7. Give w(10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -20*q - 143. Let k be j(-55). Calculate the greatest common factor of k and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -949, -2984, -5051, -7162, -9329, -11564, -13879?\nAnswer: -16286","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 198 or 26600?\nAnswer: 198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -2*w - 16. Suppose -t + w*t = 476. Let q = -18 + t. Is 9 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 165148 - 111112. Is l a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + aab6?\nAnswer: aab2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -17 - (23 - (-2 - -14) - 26).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 4*v + 54. Let y be g(-10). Let b be (-92)\/(-8) - 4 - (-3)\/2. Suppose -b + 401 = y*k. Does 28 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/3, 5, 116, 5\/47?\nAnswer: 116","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 2 t when three letters picked without replacement from tpplttllttttl.\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**2 + 8*b - 13. Let s(y) = -98*y - 1070. Let k be s(-11). Determine l(k).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13332998, -26665986, -39998974, -53331962, -66664950?\nAnswer: -79997938","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -k. Suppose k = -4*u - 0 + 16. Suppose 4*f + 16 - 52 = u*b, -3*f = -b - 29. Calculate the remainder when 38 is divided by f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/7))**(-18)\/(b*b**(1\/2)*b)**(-4))**(1\/19) assuming b is positive.\nAnswer: b**(34\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-682)\/55 - (-2)\/5. Let m be (-22)\/(-6) + (-4)\/v. Find o such that 4\/5*o**3 + 2\/5 - 6\/5*o**m + 4\/5*o**2 - 6\/5*o + 2\/5*o**5 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*d - 22*d = -4680. Let q = -764 - d. Calculate the remainder when 975 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3.1, 0.4, 2, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. What is prob of sequence tttt?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14054 is divided by 43?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 4952015801 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1335267 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 o(m) = -148*m - 51065. Give o(-343).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -13243087100 to the nearest 1000000.\nAnswer: -13243000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 116 times 6.79?\nAnswer: 787.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 41*x**2 - x - 1. Let p(u) = u**2. Let a(d) = i(d) - 3*p(d). Is a(2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13691940.\nAnswer: 2, 3, 5, 228199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - (0 + (7 - 1))) + 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 4)*(-2 + 2 + 2) - 2 - 2 + 2 - 4 + 2 + 4 + 2 - 3 - 1)*(-3*k + 3*k - 2*k)*(7*k**3 - 88 + 88).\nAnswer: 84*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 297*r**2 - 30*r**3 - 297*r**2 + 41 + 5*r**3 - 514 wrt r?\nAnswer: -75*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:17 PM and 11:32 PM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t and 1 w when four letters picked without replacement from wywywtwtt?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-7)\/5)\/((-4)\/20). Suppose -25 - 94 = -l*q. What are the prime factors of q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = 9*o**2 - 8*o - 2. What is q(-1)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 17858 - 1670. Let k be 5\/4 + -2 - r\/(-8). Let a = -193 - k. Is 29 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 8 - 5 = 0. Let d(f) = 53*f + 7. Let b be d(2). Suppose 0*x - 3*x + 3 = 0, h*x - b = -5*q. Calculate the greatest common divisor of q and 33.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 679849542?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1412736?\nAnswer: 2, 3, 13, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 18*q**2 + 12195*q - 283192. Determine o(23).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z**4\/2 - 366231*z**3 + 4394589*z**2\/2 + 9155523*z + 6591996 = 0 for z.\nAnswer: -2, -1, 9, 244148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -316 - -316. Let g(z) = 25*z + 48. Let v be g(h). Calculate the greatest common divisor of 156 and v.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 3*a - a = -16, k - 3*a - 10 = 0. Suppose -u = -2 + k. Let g(m) = -4*m - 53952*m**2 + 0 + 53949*m**2 - 2. Determine g(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6885.826 rounded to the nearest ten?\nAnswer: 6890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 74981 + -15146197\/202. What is the common denominator of w and -3\/2?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -64432, -107638, -150844?\n\"Answer: -43206*y - 21226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -135 - -221. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 120 and 146400.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -406472 by 4.\nAnswer: -101618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 63212499*b**3*k**3 - 142847*b**2*k**3 - b**2 + 15*k**3 wrt b.\nAnswer: 379274994*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1, -2\/11, 0.2, -8, -3.4, -5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 4*t - 51. Let c(i) = -3*i**2. Give o(c(g)).\nAnswer: -9*g**4 - 12*g**2 - 51","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 209 and 247?\nAnswer: 2717","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-4)*(-2)\/(4\/(-6))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s**3 + s**2 + 154*s + 14. Determine x(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 294\/(462\/11) - (-125)\/(-18)\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v. Let z be l(3). Let p(a) = 16*a + 18*a - 5*a**2 + 12*a + 15*a - 2*a**z - 57*a. Let k(r) = r. Calculate 2*k(i) - p(i).\nAnswer: 2*i**3 + 5*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 180 and 25380.\nAnswer: 25380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = n + 1. What is the remainder when 38 is divided by c(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-15)\/(q*q**(-2\/21))*q**8\/((q*(q\/(q\/((q\/q**14*q)\/q)))\/q)\/q))**(-5\/14) assuming q is positive.\nAnswer: q**(-320\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(3\/17)\/(a\/(a*a**9)))**(-25) assuming a is positive.\nAnswer: a**(-3900\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-3)\/((-21)\/(-14) - 3). Is 8036\/(-70)*(-7 + i) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 50\/((-5700)\/399)*14.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 703653753 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1032 is divided by 146.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the second derivative of j**3\/6 + 4*j. Let b be r(5). Suppose -124 = -5*t - 0*t - h, -b*h = 4*t - 116. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eleven halves of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -463428\/43 bigger than -10778?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -619.580159929 - -34027920.580162929. Let w = m + -34027274. Let t = -27 + w. Round t to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four fifteenths of a minute in milliseconds?\nAnswer: 16000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1202543?\nAnswer: 29, 41467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*p + 80 = 8*p. Is (16\/(-5))\/(p\/325) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 9.85 - -0.15. Let v = w - 10.1. What is the nearest to 1\/4 in -1\/3, 0, v?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ssskczz. Give prob of picking 2 z and 1 c.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 4*f - 16 = 0, -2*h + 8 = 2*f - 0. Suppose 4 = -h*z + z. Let l = 5 + -2. Solve -5*m + 2*o = -l, -2*o - 5 = -z*m - 1 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-199600 + 199600 - 295*y)*(2*y**2 - 4*y + 4*y)*(-3 - 2 + 4).\nAnswer: 590*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (0 + 4 + -2)\/1. Suppose 0*d - 22 = -n*d. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 - 238.366. Let n = -139.866 - -140. Let z = n - r. Sort z, -0.52, 3 in descending order.\nAnswer: 3, z, -0.52","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*m + 19*m = -15*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2\/12 + (-29)\/(-6). Suppose -2*w - 3*q = 4 + a, -2*q = -3*w + 6. Suppose -g = -0*g + 2*t - 2, 4*g + 5*t - 8 = 0. Solve w = g*v + v - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 172 divide 1096510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26856 is divided by 26848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2211 * -9896.3.\nAnswer: 21880719.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 204297802 to the nearest integer?\nAnswer: 589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 922 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r + 6. Let n be l(-5). Let o = 7 + n. Suppose 3*q + q - 37 = -o*d, -5*d + 55 = 5*q. What is the units digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and 2859.\nAnswer: 8577","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12 - -12) + (45 - 35). Calculate the greatest common factor of 216 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 12:13 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 176\/48 + 1*-4. Let m = 5.9 + -6. Let l = m + 0.6. Which is the closest to k? (a) l (b) -2\/9 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.453*-0.02\nAnswer: 0.00906","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -257219\/22 or -11692?\nAnswer: -257219\/22","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 423 = 1506*k - 28191 for k.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-4))\/(3\/6). Let n be (-4597862)\/(-6) - z\/(-9). Let b = 466310 - n. Round b to the nearest 100000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 625 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19 + 6 + 6)*(-2*u + 5 - 4 + u).\nAnswer: 7*u - 7","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 + 12. Let l = 5 + p. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sl when two letters picked without replacement from lps?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k = 2*g - 25765 + 2391, 46774 = 4*g - 3*k. Let b = -8091 + g. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*j - 181 - 139. Solve -4*t - j = -4*o, -4*t - 12 = 2*o + t for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b - 2*b - b)*(4 - 4 + 2)*(52 - 115 + 610)*(-3*b + b + 4*b)*(-1 + 3 - 1).\nAnswer: 2188*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 3*j - 21 + 6, -2*j + 11 = 5*w. Let l(b) = b**2 + 4*b + 2. Let t be 30\/(-10)*(-8)\/(-6). Let c be l(t). Solve c = -5*o - w for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9738*p - 60053*p - 2 - 358899*p.\nAnswer: -409214*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:22 AM and 12:25 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) be the third derivative of -u**4\/8 - u**3\/3 - u**2. Let s be w(-5). Suppose 0 = 5*c - 38 + s. Solve c = d + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-27) - (66\/(-44)*(-492)\/18)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 300626761, 300626762, 300626763, 300626764?\nAnswer: 300626765","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13687*q**3 + 2*q + 13923*q**3 + 0*q.\nAnswer: 236*q**3 + 2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 36588948 and -29029.\nAnswer: 36559919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange h**2 + 7 - 2*h**2 - 7 to r + b*h + s*h**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 77756, 155639, 233522, 311405, 389288?\n\"Answer: 77883*p - 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) 47 (c) 2\/3 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -12, -4*q - 4*m + 46 + 14 = 0. Suppose 0 = -t - 12, n - 3*n - 6*t = -11*t - 66. Solve u - 9 - q = -4*y, n*y - u = 8 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 28698688 - 3?\nAnswer: 28698685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 81*w**2 + 5 + 377*w**2.\nAnswer: 296*w**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 22 - 40. Let w = p - -20. Let v(j) be the first derivative of -j**3\/3 + j**2\/2 + j + 40. Determine v(w).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 8*f = -5*r + 75, -3*f - 21 = 5*r. Let j(b) be the third derivative of -b**4\/12 - 5*b**3\/6 - b**2. List the prime factors of j(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -43, 170, -2\/3, -0.2, 1\/6, -4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 - 4128*g + 24690440.\nAnswer: -2*(g - 2630)*(g + 4694)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 393936016 to the nearest integer?\nAnswer: 19848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 138?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 9*l. Let b = -12 + 15. Calculate the lowest common multiple of p(b) and 30.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14246678 is divided by 858?\nAnswer: 446","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*n + 15 = -88*n - 5 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 188 a factor of 379948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**3 - 124*y**2 + 125*y + 350. Let j be d(123). Solve -70*t = 36 - j for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*w + 2*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 295b (base 12) to base 4\nAnswer: 1023113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.743 + 0.543. Let u = 0.2 - f. What is the closest to u in -0.5, 0.1, 0.5, -2\/5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 579265 and -32.6?\nAnswer: 579297.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 318*y - 943*y + 312*y - 559 = -300*y for y.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 v when four letters picked without replacement from {q: 10, v: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**16*(a*a**(-2\/13))\/a)\/((a*a*(a*a*a*a\/a**(4\/5))\/a*a)\/a*a\/(a*a*a**(2\/11))) assuming a is positive.\nAnswer: a**(9172\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the second derivative of -694*z**4\/3 - 37*z**3 + z**2\/2 + 2*z - 546. What is the second derivative of u(i) wrt i?\nAnswer: -5552","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135041 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 12303*w - 123031. Give l(10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 865 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -1\/4, -1\/2, 0.1, 2.6?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = v - 0*v - 7, 3*v - 11 = 4*b. Let z(h) = -h**2 + 10*h - 20. Let o be z(6). Is v equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve f - f + 29*c + 742 - 887 = 0, -5*c + 53 = -4*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 2*b, -2*s = 2*b - 26. Let d(k) = -k**3 + 15*k**2 - 26*k + 12. Calculate the remainder when 46 is divided by d(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 10*x**2 + 2*x - 8. Let h be s(-6). Let i = h + -30. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the second derivative of 3*h**5\/20 + 15*h. Determine l so that q(l) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 (base 15) in base 8?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -g**3 - 3*g**2 - g - 29. Let o(c) = c**2 + c - 1. Let m(j) = d(j) - 5*o(j). Is 24 a factor of m(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.02 + 0.38. Let m = -49504 - -49499. What is the biggest value in -4, m, p, -0.05?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 15*d + 207. Let o(n) = n + 13. Let b(p) = -p**2 + 16*p - 31. Let q be b(8). Let l(g) = q*o(g) - 2*r(g). Calculate l(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from mmnhmmmhh?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 1 v when three letters picked without replacement from {w: 3, v: 1, y: 4, b: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 0 + 10 = -3*g, -5*u = -4*g - 13. Let c(s) be the first derivative of 2 - u - s**2 + 5 - 1. Let r(j) = -5*j**2. What is c(r(m))?\nAnswer: 10*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-2)\/6 - 1168\/(-12) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -987*t = 1203*t + 898*t - 46320 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(26) - sqrt(52)\/sqrt(2)))\/(sqrt(14)\/sqrt(63) - sqrt(2)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 238866 - 100159. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 225 is divided by 57.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/18 and 10\/3*(0 - (-54)\/(-128)).\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 28 and 9420726?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-122 + 20 - 37)*(0*i + 4*i - 5*i + 0*i + i + 0*i - 2*i + 3*i + i + (-1 + 0 + 2)*(-3*i + 0*i + 5*i)) to the form x*i + k and give x.\nAnswer: -556","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 0.1947, 2\/3, 0.3, -1\/3, 4\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (28*t**3 - 41*t**4 - 28*t**3)*(-1 + 5 - 6) - 46*t**2 - 20*t**4 + 46*t**2 to the form j*t**3 + u*t + n*t**2 + f + q*t**4 and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -3*w - 21. Let s be (11 + -1)\/(-11 - -10). Let b be d(s). Solve -b = 5*x - 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.7 or 28\/9?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -112579 to the nearest 1000.\nAnswer: -113000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*u - 3*u - 162. Suppose -4*b + u = -b. Is b a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 257137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2054.16 + 2003. Let c = p - 7.94. Round c to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*-1*sqrt(136) - sqrt(136))\/sqrt(8).\nAnswer: -3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 3, -27, -1, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(120) - sqrt(120))\/sqrt(4))\/sqrt(10).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 672 minutes before 5:13 PM?\nAnswer: 6:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that u**4\/10 - 597*u**3\/5 + 358789*u**2\/10 - 142086*u + 141610 = 0.\nAnswer: 2, 595","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 6:41 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 34.2 - 0.2. Let t = 153824 - 153858.0087. Let h = t + r. Round h to three dps.\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2347 - 2342. What is the closest to 1.2 in j, 1\/5, -1?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/310 and -85\/6?\nAnswer: 930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1621 at most 1622?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15327?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 354 minutes before 3:38 AM?\nAnswer: 9:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -79.95 + 82. Let h = m + 0.25. Let l = -2.7 + h. What is the biggest value in -3, l, -2\/3?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -113\/13926 and 97\/42040.\nAnswer: 292724520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 92 + 4 - (-14 + (108 - 54))\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 3914898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q - 12 = -0*q. Let o = -3 - q. What is o rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 4 + sqrt(13) + 3 + -3 + (0 + sqrt(117) - sqrt(13) - sqrt(13)))*1.\nAnswer: 2 + 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28458 is divided by 22.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -32. Suppose -2*r + 264 = -h, 2*r + 8*h = 5*h + 256. What is the remainder when r is divided by x?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 17815?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 2*a + 8 = -2, 0 = -2*f + 3*a + 1 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5273605 litres to millilitres.\nAnswer: 527.3605","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 17. Suppose -5 = -3*d - 2*d, -5*s - m*d = -73. Let j(o) = 3*o + 42. What are the prime factors of j(s)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 742719 and 174.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16343 - -28492. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxxxhxxxxxx. Give prob of picking 2 x and 1 h.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7507 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -49\/5 + 451\/45. Let j = -5\/9 + z. Suppose -4*o = -2*k + 4, -5*o + 0*k - 2*k = 5. Is o > j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 12*y**2 - y - 3*y**2 + 9*y**2. Let v be b(2). Suppose 65 = 4*z - 5*r, 3*z - 6*z + 55 = -5*r. Calculate the greatest common divisor of v and z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-31)\/(-62))\/(352\/448))\/(4*2\/22).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5479696 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1221 + 10200?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 6*f**2 + f - 27. Let z(v) = -8*v**2 - v + 40. Determine 7*c(m) + 5*z(m).\nAnswer: 2*m**2 + 2*m + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 677*c**2 + c**3 + 170*c**2 + 2 - 133*c**2 as t + v*c**3 + g*c + q*c**2 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 114688182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-7)*i)**(-15)\/(i\/(i*i**10))**18)**(-2\/31) assuming i is positive.\nAnswer: i**(-540\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -12 (b) -0.3 (c) 100 (d) 0.4 (e) -0.1 (f) 7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1764.21942us in days?\nAnswer: 0.00000002041920625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -79, -414, -965, -1726, -2691, -3854, -5209, -6750?\n\"Answer: t**3 - 114*t**2 + 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1745*c - 1747*c + 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100814*b - 2976 = -100718*b for b.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.14, 41\/5, -0.1, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Are -2 and -1.33907 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) be the first derivative of 0*m + 2 - 1\/2*m**2 + m**3 + 1\/60*m**5 + 1\/6*m**4. Let y(g) be the second derivative of s(g). Calculate y(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70\/171 + -12\/19. Let j = 8 - 8. What is the smallest value in j, 1, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8, -19\/5, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.01 (b) -45 (c) -0.5 (d) 0.3 (e) -3 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/10, -1\/18, -3?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20243 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*s**2 + 761*s**3 + 430*s**4 - 749*s**3 - 408*s**4)*(5 - 2 - 2) as v*s**3 + o + p*s**4 + b*s**2 + m*s and give b.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 943 is divided by 43.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that 2*f**2 - 230*f - 1200 = 0.\nAnswer: -5, 120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1502 divided by 42?\nAnswer: -751\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/7 of a week in hours?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -1323, -2646, -3969, -5292, -6615?\n\"Answer: -1323*b","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 748, 1491, 2232, 2971, 3708, 4443, 5176?\nAnswer: 5907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -333, -326, -317, -306, -293?\n\"Answer: p**2 + 4*p - 338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes after 9:54 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -8484.646 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11 - (46 - 74)) + -29?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(187)\/(sqrt(44)\/sqrt(4)))**2*6.\nAnswer: -510","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -3 (c) -20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -812.1 + 812. Put 2, -1, -1\/5, u in descending order.\nAnswer: 2, u, -1\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 6. Suppose 2*q - r*b + 2*b + 2 = 0, -3*q - 25 = 5*b. Let n(v) = 5 - 1 - v + 0. Determine n(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -599*s**2 + 1342*s - 5. Let b(l) = -301*l**2 + 671*l - 3. Let k(x) = -5*b(x) + 3*n(x). What is the second derivative of k(j) wrt j?\nAnswer: -584","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2975, -2980, -2985, -2990, -2995?\nAnswer: -3000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -480.67\nAnswer: -961.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 10*d**2 - 6*d. Let c(n) = 19*n**2 - 12*n. Calculate -4*c(l) + 7*s(l).\nAnswer: -6*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 187\/236 + -33497\/20532. Calculate the common denominator of k and -20.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of -3 + 18*(-4)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*z + 14. Find the common denominator of -23\/4 and z\/(-6)*(-204)\/(-45).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 845 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: Two letters picked without replacement from {a: 1, x: 4, s: 2, y: 2, q: 1, d: 2}. Give prob of sequence xs.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -12, 141, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 147 is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:38 AM and 11:27 AM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - -1 - (3 - (1 + 1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*a - 3)*(a + 0*a - 2*a) + (-4*a - 3*a + 4*a)*(18 + 25 - 18)*(-4*a + 10*a - 10*a + 2*a + 3*a - 3*a + a - a - a + (-4 + 3 + 2)*(4*a - 3*a - 3*a)).\nAnswer: 377*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 19\/5 in 40, -0.4, 1\/2, -3, -7?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ww when two letters picked without replacement from wwwwwwwwwwwws?\nAnswer: 11\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0740961 - 0.05.\nAnswer: -0.1240961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 170?\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (87\/(-2610))\/((-6)\/20).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4437239 + 4*g - 114*g - 4437219.\nAnswer: -110*g + 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236966, -236965, -236964?\nAnswer: -236963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -0.5 (c) 22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -20051003 + -534?\nAnswer: -20051541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) 0.6 (b) 4 (c) 6\/5 (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 58 and 493?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-11 - -7)\/(0 - (1 - -1)). Let j be 1*a*(-18 - -19). Suppose -5*y + 457 - 26 = 4*x, -j*x = 2. What is the remainder when y is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7288 + -7288.3. Put 45, g, 2\/5, -4, 4 in ascending order.\nAnswer: -4, g, 2\/5, 4, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -572*k**2 - 2*k - 67 wrt k.\nAnswer: -1144","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1, 2, -2, 4.\nAnswer: -4, -2, 1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000233639719 rounded to six decimal places?\nAnswer: 0.000023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -34*m + 31*m, -4772 = -o - 4*m. Round o to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 22*j - 60 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -36 + 42. What is the remainder when 11 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 995*m - 47722 + 43681 + 69287 = -56144 for m.\nAnswer: -122","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 852*q**2 + 3*q + 5. Let d = 315 - 316. Is 14 a factor of x(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 7*n**2 + 4*n - 3. Let u(j) = j**2 - 1. Let f(c) = -6*u(c) + w(c). Let d = 94 + -101. What is the remainder when f(d) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1077602538 - 93.752?\nAnswer: -1077602631.752","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -47247241 less than or equal to -47247232?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.75867 centuries to years.\nAnswer: 1575.867","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 - 1. Let z be s(1). Let v(x) = x**3 + 5*x**2 + 5*x + 1. Let m be v(-2). Let w = 5 - 4. Solve w = z*a + m for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = x**2 + 8*x + 26. Suppose 0 = -3*g - o + 95, g = o + 13 + 12. What is the remainder when f(9) is divided by g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1096?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 31788*c**4 - 94*c + 46.\nAnswer: 381456*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -39 - 2?\nAnswer: -3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 342\/(-81) - (-2)\/9. Let s = 8 - 5. Put s, t, -2 in ascending order.\nAnswer: t, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z*z**(-22)))*z)**(1\/7)\/((z**(9\/7)*z*z)\/(z\/(z\/(z\/z**(-2\/23))))) assuming z is positive.\nAnswer: z**(-814\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5 - -7. Let a = 3.05 + -0.05. What is the closest to c in a, -0.4, 0.5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1343*j + 128*j - 307*j)*(-2 + 1 + 2)*(-1 - 2 + 0) in the form m + r*j and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 6636, 13276, 19916, 26556?\nAnswer: 33196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*i + 3. Suppose -4*b - 158 = -i*j, -5*b - 5*j - 119 = 61. Let d = -27 - b. List the prime factors of d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30 + -7.46?\nAnswer: -37.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.7 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -36*a**3 - 3 + 34*a**3 + 2 - 2*a to the form f*a**2 + p*a**3 + t*a + g and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -4*f**2 - 8*f. Let s(t) = -2*t. What is 2*h(j) - 8*s(j)?\nAnswer: -8*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15315 at most 15309?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (2 - 3) + -18 + (-13 - -17)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-30)\/(-6) + 7 + -8. Suppose -6*n + t = m - 4*n, 0 = -5*m + 3*n + 7. What is the third smallest value in -0.7, -4\/7, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 + (-18)\/(-729)*-9*(-11)\/(-2). Which is the closest to f? (a) 0.5 (b) -2\/9 (c) 1.3 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n + 13. Let s be t(-9). Suppose -g = m - 3, -g - 4*g = -s*m - 24. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -348 + 365. Calculate the remainder when 184 is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 581.9 - 575.9. Is 27.3 greater than p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dqvvxqqqqbvqzzb. What is prob of picking 3 d and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -53936 divided by -53936?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of p**4\/24 + p**2. Let q(m) be the third derivative of -20*m**2 + 0*m**3 + 0*m**4 + 1\/30*m**5 + 0 + 0*m. Give q(o(d)).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*d**2*f**3*s**3 + d**2*f**2 + 3197*d**2*f*s**2 + 29833*f**3*s**3 - f*s**3 wrt f.\nAnswer: -12*d**2*s**3 + 178998*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -9899245 - -0.08765?\nAnswer: -9899244.91235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 26173.8513 microseconds?\nAnswer: 0.00000030293809375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 - 3*w**2 + 11*w**2 + 13738 - 4*w**2 + 4065.\nAnswer: 2*w**2 + 17803","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 24 = 7*m. Let f(h) = -h**2 - h + 23. Let z(r) = -r**2 - 6*r - 5. Let i be z(-5). Calculate the remainder when f(i) is divided by m.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -1395*o + 89. Is h(-4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -150 at most 0.395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26 = -5*f - t - 2*t, -2 = -3*f + 5*t. Suppose -38*z = -8*z + 57*z - 522. Solve z*c = 10*c - f for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*s**3 + 215268*s + 0*s**3 - 107633*s - 107635*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -9*m. Let v(j) = -j - 626732. Calculate v(o(d)).\nAnswer: 9*d - 626732","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 142. Let g = -3 - -1. What is the second biggest value in 3\/4, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 3411867919?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.636555 rounded to 3 dps?\nAnswer: 2.637","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*m - 416 + 16 = 0. What is the remainder when m is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c**2 + 3*c + 1. Let z(m) = 4*m**2 - 4*m - 2. What is 3*j(t) + 2*z(t)?\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qqqmqqqqqmqqqqqqqqq. What is prob of sequence qqqq?\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 14\/(-84) + 422\/12. Suppose -8*p + p - t = 0. What is the second smallest value in -0.04, 4, p?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19, -2, 2\/7, 0 in increasing order.\nAnswer: -19, -2, 0, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 a when two letters picked without replacement from {d: 3, i: 4, z: 2, c: 2, h: 3, a: 1}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -3*b - 3. Let p(v) = v**3 - 5*v**2 + 2. Calculate the remainder when b is divided by p(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -12 + (0 - 0)\/(2 + 0). Let b(v) = -v**2 - 11*v + 8. Give b(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -197\/36 - -21\/4. Let o = 3.16 + -3.19. Which is the third biggest value? (a) o (b) u (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3055 + -1872. What is the hundreds digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(72) + 5 + sqrt(18) + (-1 + sqrt(18) - sqrt(18)) + -5)**2.\nAnswer: 6*sqrt(2) + 19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (108\/(-102))\/(((-19602)\/3672)\/121)?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 9*o - 4*o = 64, -20 = 5*o. Suppose 9*d - x*d + 76931 = 0. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/3395332 and -97\/44?\nAnswer: 37348652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78\/35490*35 + 3800\/(-52).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 7*n - 2030 = 2537, 4*g + 3*n - 4557 = 0. Calculate the greatest common factor of 96 and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, q: 4}. What is prob of picking 2 q?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 6, i: 4}. Give prob of sequence ggii.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 3\/7, 3, -2\/5, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -47100.62 and 196?\nAnswer: -9231721.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 8198*n**3 - 16*n**2 + 878892*n.\nAnswer: 49188*n - 32","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = 6 - 12. Suppose z*b + 5 = -3*c, -4*c - 20 = b - 5. Let h = 7\/39 + 2\/13. What is the biggest value in -0.2, c, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f - 9. Give s(-8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 267760814 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.227931 minutes in weeks?\nAnswer: 0.00032023125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 51*v + 48 = 54*v, v = -13*l - 22. Let o(y) = -10*y - 24. Let c(g) = 5*g + 12. Let u(f) = 5*c(f) + 2*o(f). Determine u(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*a + 15*a = 20*a - 3276. Calculate the highest common divisor of a and 2072.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*f + 7. Let h(r) = -r + 13. Give h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34831081 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j. Let k be (-39)\/(-4) + 1\/4. Let o(a) = -8 - 6 + 14 + k*a. Calculate z(o(q)).\nAnswer: 20*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1\/16650 + 2460869\/16650. Let t = -147 + d. Sort 2\/15, -2, 0.06, t in descending order.\nAnswer: t, 2\/15, 0.06, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -2\/4841?\nAnswer: -2\/4841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*s**2 + 183*s - 198 = 0 for s.\nAnswer: -66\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -46 - -70. Let m(i) = -i**3 + 6*i**2 + 9*i - 2. Let q be m(7). Suppose q*r = 184 - 16. Calculate the lowest common multiple of f and r.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 23*o**4 - 4*o - 77. Let m(u) = u. Suppose 5*y + 2 = 2*k - 18, 2*y + 8 = -5*k. Let b(s) = y*m(s) - t(s). Find the first derivative of b(j) wrt j.\nAnswer: -92*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 3*m - 2*m - 3 = 0, -3*m + 12 = 0. Let g be (b + -2436)*6\/(-30). Let n = -340 + g. Does 23 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*b + p, 2*b - 22 = p - 12. Let o be -4 - ((-1)\/(-2) + 11\/22). Sort o, 8, 4, b in increasing order.\nAnswer: o, b, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 8:35 PM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(6480)*-1)\/(sqrt(81)*3*2).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wvw when three letters picked without replacement from {v: 2, w: 5}?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -124*a - 117*a + 482. Solve -6*n = 3*p - 10*n - 5, 0 = a*p - 4*n - 10 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/(-15)*(-15)\/(-18).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -141906?\nAnswer: 141901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the third derivative of 2*i**2 - 1\/3*i**4 + 0 - 3\/2*i**3 - 1\/60*i**5 + 0*i. Let d be w(-6). Solve 5*n - 2*f = 6, n + d*f = 5*f + 6 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -196*f - 536*f**2 - 369*f**2 + 196*f.\nAnswer: -905*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -108 - 63 + 16*h + 9*h - 125.\nAnswer: 25*h - 296","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 6 - 8 - 32*z - 1091*z**2 + 1093*z**2 + 35. Let k be g(15). Solve -r + 28 = -0*i + 5*i, k*i - 3 = 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 7.8, 368, -1\/125, 4 in increasing order.\nAnswer: -1\/125, 4, 7.8, 368","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15337003*f**3*y**2 - 2*f**2*y - 3*f*y**2 + 74*f*y - 2*f - 20*y + 715 wrt f.\nAnswer: -92022018*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 8) to base 13.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**4\/8 + 31*y**3\/6 + 7*y**2. What are the prime factors of n(0)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 divided by -6354.\nAnswer: 1\/2118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -513*y + 74. Let j(f) = 1029*f - 147. Let n(b) = -3*j(b) - 7*q(b). Is n(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8774 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -v**3 - 3*v + 3*v + (2*v - 4*v - 2*v)*(0*v**2 - 4*v**2 + 3*v**2).\nAnswer: 3*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 428901*g + 5863. Let b(h) = 439*h + 6. What is 5863*b(k) - 6*d(k)?\nAnswer: 451*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ji when two letters picked without replacement from otuji?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + 5)\/(12 + -4). Let g be (6\/(0 - 3))\/82. Which is smaller: o or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the third derivative of -t**5\/12 - 220*t**2. Let f(g) = 8*g + 13*g - 6*g. Determine i(f(d)).\nAnswer: -1125*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5548 to the nearest integer?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1874 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: What is -0.06000128 + -3.3?\nAnswer: -3.36000128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(-15))\/((-4)\/(-5)) - (-5289)\/26316.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 290*j**2. Let u(k) be the first derivative of -k**6\/360 - 185*k**3\/3 + 186. Let l(w) be the third derivative of u(w). What is a(l(r))?\nAnswer: 290*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 272088.\nAnswer: 2, 3, 3779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 2 + 0*z - 1\/2*z**2 = 0.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -723 + 9?\nAnswer: -714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 5. Let d(b) = -b + 1. Let g(y) = -y**2 - 5*y - 8. Let p be g(7). Let h = p + 93. Give h*d(u) - a(u).\nAnswer: 2*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 1 = 3. What is the remainder when c is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-6)\/42)\/((-1)\/3). Let r be 108\/(-120) - (-2)\/4. What is the third biggest value in -2, r, 1, q?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31125 (base 6) in base 4?\nAnswer: 1000331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (12\/9)\/((-2)\/(-12)). What is the remainder when 17 is divided by t - (5 + -1 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310642607 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1028679 or 1028684?\nAnswer: 1028679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 times -1.2?\nAnswer: -56.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 47 (base 9) to base 16\nAnswer: 2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 35517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 9 = 3*y, -4*y + 6*v = 7*v - 17 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45700363*g**2*l**2 - 94042*g*l**2 + 105*g*l + 2*l**2 wrt g?\nAnswer: -91400726*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 544 = -9*c. Let g = c - 4. Calculate the remainder when g is divided by 45.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8783 in -1\/2, -0.1, 2, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60358914 to the power of 1\/2, to the nearest integer?\nAnswer: 7769","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -7*o**2 - 527*o - 159. Let j be q(-75). Put -3, j, 0, -1 in descending order.\nAnswer: 0, -1, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + 0 + 1 - (9 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 2100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -50276, -49920, -49564, -49208, -48852, -48496?\n\"Answer: 356*h - 50632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 8 - 12 = 0. Let s = 14 + y. Suppose -3*f + 293 = s*d, 3*d - 485 = -5*f - 2*d. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -99*q**4 - 4*q**3 - q**2 + 116.\nAnswer: -2376*q - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (733086\/(-27)*2\/4)\/((-4)\/12)?\nAnswer: 139, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4290, -4344, -4398?\n\"Answer: -54*b - 4236","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j + 4. Let r be u(0). Suppose 0 = 5*t - r*t - 2. Solve q = -t*f + 2, 0 = 4*q - 10 - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -4*r + 3*g - 2*g, -3*g - 6 = 0. Let p = 2 - 6. Let h(f) = 4*f**2 + 4*f - 3. Let w be h(p). Calculate the highest common factor of r and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -128 - 1?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 3*z**3 + 1. Let r = -39 + 20. Let f(l) = l**3 + 7*l**2 + 5*l - 5. Let m be f(-5). Let c = r + m. Let b(d) = d**3 - d + 1. Determine c*n(w) - b(w).\nAnswer: 2*w**3 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -576, -1156, -1736, -2316, -2896?\nAnswer: -3476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 11) to base 8\nAnswer: -71","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.085283164 rounded to three decimal places?\nAnswer: 1.085","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1996611.\nAnswer: 3, 181, 3677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (4 + (3*sqrt(245) + 0 - sqrt(245)))**2 + 3.\nAnswer: 112*sqrt(5) + 1004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22214 - 40*q**2 + 22214.\nAnswer: -40*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2912834?\nAnswer: 2, 1456417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -6*4\/16*3\/(-12)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u**3 - 27*u**2 + 21*u - 191. Let g be h(-28). Solve 0 = g*b + 4*z - 18, -18*b - 3*z = -15*b - 12 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n + 9 - 1 + 2. Suppose 14 = 3*k - 5*k. Does 10 divide b(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/20*0\/(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (12 - 21).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lm when two letters picked without replacement from mzllllzzzzmzlz.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.5 - -11. Let i = -53.9 - -53.6. Let b = -29.3 - -31. Sort z, i, b in descending order.\nAnswer: b, z, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*f**3 - 3 + 3)*(-96 + 15*f**2 + 96) + (-5 + 2 - 3)*(-8*f**4 + 8*f**4 - 6*f**5).\nAnswer: -9*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.32 - 0.5. Let q = o - 4.82. Which is the biggest value? (a) -1\/2 (b) 0.1 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 270636 and 33.\nAnswer: 2976996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22828821.\nAnswer: 3, 7609607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.2 - 0.1. Let q = t - 0.3. Let i = 6 + -4. Which is the nearest to 2\/3? (a) q (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 2*u = -73, 7*v - 11*v + 13*u = v - 89 for v.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i. Let v(r) = 49998*r - 8. Let c(l) = -3*o(l) + v(l). Let w be c(8). Round w to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b - 25. Let s be m(-10). Let o = s + 60. Factor -4*g**2 + o*g + 4*g**3 + 0*g**3 - 25*g.\nAnswer: 4*g**2*(g - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of -g**5\/10 - 2*g**4 - 7*g**3\/3 + g**2\/2 + 164*g. Find the second derivative of i(c) wrt c.\nAnswer: -12*c - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g - 5*g - 453 + 488. Solve -9*s + 6*s - 28 = g*z, 4*z + 22 = -2*s for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 + 4*q**3 - 4*q**3 + (-q + q - 2*q**2)*(2*q - 3*q - q) + 0 + 0 - 2*q**3 - 390 - 1734*q**2 + 891*q + 1732*q**2 - 892*q + 2*q**3.\nAnswer: 3*q**3 - 2*q**2 - q - 390","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**3\/7 - 375247*k**2\/7 - 35183995675*k\/7 + 3486894337971\/7.\nAnswer: -(k - 99)*(k + 187673)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 124 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in fourty-one sixths of a day?\nAnswer: 164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -432 (base 8) in base 3?\nAnswer: -101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 30\/105*(14\/(-2))\/(-1). Let k(b) = 0*b - 12 + 6*b**r + 4*b + 18. Let o(y) = -7*y**2 - 5*y - 7. Give -5*k(m) - 4*o(m).\nAnswer: -2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 44, 62, 82?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q**2 + 5*q + 6. Suppose 21 = -5*x - 9. Let h be (4\/x)\/((-1)\/(-6)). What is f(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7.5 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 61939402?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 1 * 0.094186441\nAnswer: 0.094186441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 39, 68, 109, 168, 251, 364, 513, 704?\nAnswer: 943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*j - 6, r + 4*j = 16 - 1. Solve -3*b + 4 + 17 = -2*l, -r = -3*b - 4*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -44?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.29 + -2. Let v = i - -0.7099949. What is v rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2. Let p(t) be the second derivative of t**4\/12 - t**2\/2 + 3*t. Let l(h) be the first derivative of p(h). Determine s(l(m)).\nAnswer: 4*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16854 and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 997 divide 1862841?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 4376640 divided by 27354?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5325 - 5322. Let j(p) be the third derivative of 0*p**z + 0*p + 0 - 5\/24*p**4 - 1\/60*p**5 - p**2. Calculate j(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6232 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 27 + -28. Let n = 3.003 + -2.503. Which is the closest to u? (a) n (b) 232 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -103, -192, -325, -490, -675, -868?\nAnswer: -1057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1)\/1 + (-4)\/6. Let n = 125\/1386 - -1\/198. What is the biggest value in n, s, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = -b**3 + 12*b**2 + 43*b + 18. What is y(15)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3319 is divided by 1596.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 - -1.7912\nAnswer: 2.2912","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/(-30)*(-75)\/30\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 9*t**3 + 7*t**2 + 35*t - 1. Let c(q) = 5*q**3 + 3*q**2 + 18*q. Let k(y) = -11*c(y) + 6*p(y). Is 34 a factor of k(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -2*q**3 - 3*q**2 + 80*q - 76. Give m(7).\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -34 + 22. Let s(c) = c**3 + 11*c**2 - 18*c - 10. What are the prime factors of s(z)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020 (base 4) in base 8?\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*l + 13*l + 364 = 0. Suppose -10*f + l + 108 = 0. What is the remainder when 79 is divided by f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.937388306 to three dps.\nAnswer: -1.937","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1\/8 (b) -3\/7 (c) 19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.4655 times -1.1?\nAnswer: -1.61205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 62\/4 - 19\/38. Let c(t) = -t**3 + 14*t**2 + 21*t + 7. Calculate c(w).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h + 39 = 2*u, -4*u + 5*h = 3*h - 86. What is the remainder when 82 is divided by u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o + 2 - 2)*(-106*o - 130*o - 37*o) - 3*o - 2*o**2 + 3*o + (2*o**2 - 2*o**2 + o**2)*(-3 + 4 - 3) + 217 - 19*o**2 - 217.\nAnswer: -296*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1456*z**3 + 3949*z**3 + 5120*z**3 + 680*z**3.\nAnswer: 8293*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16 and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:16 PM and 7:36 AM?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40 - 32 = q. Suppose -x = -q*x + 14. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y + 480 = 4*y. Suppose 4*q + 0*q - y = 0. Is 10 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2367 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 127855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*m + 6 - 10*m + 5*m - 7*m with respect to m.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in 18, 0.927, 4\/3, -1\/4, -0.12, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -259\/900 - -1\/100. Find the common denominator of 0 - 202\/48*-2 and p.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, v: 4}. Give prob of sequence dd.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 819357 and 330.\nAnswer: 8193570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = 1184*b - 1182*b - 17, m + b = 6*m + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -352, -1875, -4402, -7927, -12444, -17947?\nAnswer: -24430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.2 + -190.\nAnswer: -191.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((n**(-1))**(-44))**(3\/5))**(-7\/2))**(-2\/7) assuming n is positive.\nAnswer: n**(132\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (90*c**2 - 26*c**2 - 5*c**2)*(7*c**2 + c**2 - 2*c**2) to x*c**4 + q + w*c**3 + i*c**2 + t*c and give x.\nAnswer: 354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1470258.6427 rounded to the nearest 100?\nAnswer: 1470300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = 3*p**3 - 26*p**2 + 42*p - 24. Let z = 195 - 200. Let o(i) = 6*i**3 - 51*i**2 + 84*i - 48. Let a(t) = z*o(t) + 9*g(t). Factor a(j).\nAnswer: -3*(j - 4)*(j - 2)*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/14? (a) -78 (b) 4\/5 (c) 4 (d) 3\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 629*f + 233. Let m(b) = -1261*b - 468. Let c(l) = -2*m(l) - 5*y(l). Differentiate c(d) wrt d.\nAnswer: -623","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = 22 - 22. Which is smaller: 15\/13 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.559265 weeks in microseconds?\nAnswer: 338243472000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0*(1 + -14 + 14). Let j(p) be the second derivative of 0 - 5*p**2 + a*p**3 - 17*p - 7\/12*p**4. What is the derivative of j(y) wrt y?\nAnswer: -14*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -n, -502*h + 4*n + 6529 = -501*h. Is h a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 7 - (-13 + 1 + 12).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 90 and 320.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/14)*c*c*c**(-8)*c*c)\/(c\/(c\/(c*(c\/c**(-1))\/c)))**(-17)*(c**(-4)\/c**(2\/11))**43 assuming c is positive.\nAnswer: c**(-23083\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*r - 81*r**2 - 4*r - 6*r.\nAnswer: -81*r**2 - 8*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: (5553 - 5560) + (-86)\/(-22)\nAnswer: -34\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 484182 = 2*v, 130*v - 242061 = 129*v + 5*w. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -81*r + 9*r**2 + 81*r - 2 in the form i*r**2 + z + d*r and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -702 - -737. What is the remainder when ((-202)\/2)\/(1*-1) is divided by 42\/27*(-17 + w)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151194689377 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -18047836 (base 9) to base 7\nAnswer: -140031006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 211389 is divided by 72.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x + 2*a + 106 - 6 = 0, 5*x + 2*a + 172 = 0. Let f be (x\/10)\/((-9)\/30). Let k be 2*2*3\/(f\/5). Solve -d + 4*d = k*t + 12, 4*d + 16 = -4*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -16*g - 20. Does 27 divide z(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 294 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 47243 + -6519427\/138. Let d = -6926\/345 + q. Let l = -121\/20 - d. Find the common denominator of 58\/7 and l.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 4, 46082, -5, -2 in descending order.\nAnswer: 46082, 49, 4, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0 + (-133)\/(-9) - 6\/(-27). Let q = 42 - i. Find the second derivative of -5*y**3 - 49*y + q*y**3 + 33*y wrt y.\nAnswer: 132*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 128 a factor of 109229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565314 (base 7) in base 8?\nAnswer: -651553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 2 z when four letters picked without replacement from {n: 4, z: 3, a: 2, h: 4, e: 3}.\nAnswer: 9\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (2*sqrt(102))\/sqrt(6) + 2 + -5 + sqrt(153) + (1 + 3*sqrt(17))**2.\nAnswer: 11*sqrt(17) + 151","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -x**3 - x**2 + 3. Let n(o) = 4*o**3 + 4*o**2 - 13. Let v(p) = -4*p - 88. Let l be v(14). Let w = l + 150. Determine w*n(u) + 26*q(u).\nAnswer: -2*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 40119841 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -16\/23 (b) -1 (c) -2.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -3*g + 6. Let w(y) = -12*y + 103. Let h be w(8). Give j(h).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes before 2:44 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 PM and 7:11 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4285997, -8572022, -12858047?\nAnswer: -17144072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1603 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3582?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 16 + (-814202)\/(-15). Let y = -54235 + j. Let p = y - 48. Sort p, 1\/3, -2 in descending order.\nAnswer: 1\/3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 50 and -1863.6.\nAnswer: -93180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 - 4*y**2 - 5*y + 2. Let s be ((-13)\/39)\/((-1)\/15). Let p be q(s). Find the third derivative of -v**4 - 5*v**4 - 2*v**4 + 2*v**p + 3*v**4 wrt v.\nAnswer: -120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the second derivative of 5*i**3\/6 - i**2 + 8*i. Let o(v) = 9*v - 4. What is 3*o(l) - 5*s(l)?\nAnswer: 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, j: 3, c: 5}. Give prob of sequence jj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10261*j**3 - j**2 - j - 500 wrt j.\nAnswer: 61566","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 + 1. Determine m so that 32*m**2 - 3*m**t - 3*m**3 - 32*m**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53710351 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 0\/(-1*2\/2). Suppose 2*o - 1726 + 1666 = i. What is the smallest common multiple of 118\/5 - 4\/(-10) and o?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -460147 rounded to the nearest 1000?\nAnswer: -460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -3*i**3 + 49*i**2 - 18*i + 36. Let s be g(16). Determine f so that -3*f**3 + 3*f + 5\/3*f**2 + 2\/3 - 7\/3*f**s = 0.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 + 11*y**2 + 2132*y + 3. What is h(52)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 798 and 18030582.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -0.7. Let s = 0.2 + -0.3. Let p = -323 + 326. What is the nearest to h in p, -3, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -548864, -2195524, -4939958, -8782166, -13722148?\n\"Answer: -548887*k**2 + k + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -13174*r + 78432. Calculate y(6).\nAnswer: -612","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 25*j*m**3*q - j*m**3 - 330*j*m**2 + 309*j*m*q + 47105*j*m + 4*j*q + 24*q with respect to q.\nAnswer: 25*j*m**3 + 309*j*m + 4*j + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 46, 132, 364, 814, 1554, 2656, 4192?\nAnswer: 6234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -78285.8 rounded to the nearest 100?\nAnswer: -78300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -113*i - 163*i + 47*i - 121*i - 88*i.\nAnswer: -438*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 178372 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xvv. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g + 92. Let o be c(-19). Let w(j) = 7*j + 5. Let t(s) = -6*s - 4. Give o*t(p) - 2*w(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101110100000001 + -1111?\nAnswer: -10110101110100010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*p + j + 35, j = -p - 13 - 7. Let a = -46 + 25. Let n = p - a. What is the units digit of n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:46 AM and 6:36 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 143 + -138. Suppose -4*s + 24 = -4*t, -13 = 2*s - 5*t - 37. Let v be (s*(7 - 2))\/2. Solve 0*h = v*h + z for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 11 + 5*h + 17*h - 2*h - 4*h + h**2. Does 11 divide n(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/(-5))\/((-7)\/((-70)\/15))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/1 - -15)*((-104)\/(-130))\/1\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*y = 13, -5*y - 2 - 1 = -4*a. Solve -4 = -a*p - 10 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*l - u + 2*u - 9, 7 = 2*l - u. Put -4, 0.3, l, -5 in decreasing order.\nAnswer: l, 0.3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39 + 21 = 10*v - 11*v - 2*d, -2*d + 48 = 4*v for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of 764*s**2 + 3551*s + 3296. Differentiate m(b) wrt b.\nAnswer: 1528","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 722738161 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -17960 divided by 1796?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(((-12)\/(-4))\/(-12))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -33.8 + 1.8. Let u = 31.3 + a. What is the closest to 0 in 0.4, -2, u?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 460 + -455. Let p(x) be the first derivative of -7\/6*x**6 + 0*x + 7\/3*x**3 + 0*x**q + 0*x**2 + 0*x**4 + 2. Find the third derivative of p(t) wrt t.\nAnswer: -420*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0, -147\/2, -1\/4?\nAnswer: -147\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151 = -4*g - 2*r + 3*r, 5*r = 4*g - 163. Suppose g = 3*k - 5*i, 2*i - 54 + 13 = -5*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: What is seventeen halves of a gram in milligrams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 6, 3239, -2?\nAnswer: 3239","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -189*i - 4158 = -196*i. Does 33 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (-3 - -1 - -2)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1649 divided by -25?\nAnswer: -1649\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9962035 is divided by 50.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -122 + 127. Put 0, o, -2 in increasing order.\nAnswer: -2, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, 1\/10, -67?\nAnswer: -67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**2*w**5 + 4*a**2*w - 134*a*w**5 + 8*a*w**2 wrt w?\nAnswer: 60*a**2*w**2 - 8040*a*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 542120 a multiple of 274?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.04437 nanometers to centimeters.\nAnswer: 0.000000404437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -3 + -44 + 1. Let n = -28 - q. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p\/((p*p**(2\/77))\/p)*p**33 assuming p is positive.\nAnswer: p**(2616\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (96*z - 7*z**2 - 1 - 96*z)*(-4*z**2 + 4*z**2 - 3*z**3).\nAnswer: 21*z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -52171, -5, -1, -2\/7.\nAnswer: -52171, -5, -1, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -881 - -893. Calculate the highest common divisor of w and 15108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.0042363 from -2064784.\nAnswer: -2064783.9957637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:50 PM and 6:19 PM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48063375.\nAnswer: 3, 5, 47, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1 - 6. Which is the smallest value? (a) -1 (b) f (c) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2474*g**2 + 4875*g**2 - 2391*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 661 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6701 divided by 133\nAnswer: 6701\/133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -7, 7, 0 in increasing order.\nAnswer: -7, 0, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 26*y + 163. Let f be b(9). Solve s = -f*s + 16*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -15*q**2 + 4. Let x(i) = -615*i**2 + 165. Give 165*u(c) - 4*x(c).\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**8\/168 + 62*l**7\/105 - 17*l**4\/3 + l**2 + 35*l. Find the second derivative of p(n) wrt n.\nAnswer: -40*n**3 + 1488*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11047.01 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -2\/9, 2.3, 4, -0.06 in ascending order.\nAnswer: -2, -2\/9, -0.06, 2.3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5359 - 3756. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-4\/7)*m**(-22))\/(m*m**(-6\/13)*m)**(5\/8) assuming m is positive.\nAnswer: m**(-4283\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1674\/55 in 2, -0.3, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1586 (b) -2 (c) 9\/20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 834319?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(4 - 33\/6) - -26. What is the derivative of 14*d + 36 + 2*d + 2*d + j*d wrt d?\nAnswer: 41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d - 7. Let m be ((-20)\/(-6))\/(14\/(-21)). Let y be z(m). Put 2, y, -1 in decreasing order.\nAnswer: 2, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -1, 8, -6, 14.\nAnswer: -11, -6, -1, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - 10*t - 14. Let y be a(11). Let h = y - -58. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-18 - -14) + (6 - (-1 - -5)))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 4*b = 17*t + 28, t = b - 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -1\/141000149?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*g + 2*g - 3*g)*(2 + 0 - 4) - 2*g - 2*g + g + 3*g + g + g + (g + 2*g - 2*g)*(-3 + 1 + 1) + 2 - 2 - 2*g + 1 - 1 - g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 37150.2ml in litres?\nAnswer: 37.1502","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*i = -184 - 5596. What is the greatest common factor of i and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.45223074 less than 1.3?\nAnswer: -0.15223074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4335834 nanograms in micrograms?\nAnswer: 0.0004335834","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 19 = -4*g, 3*g + 6 + 7 = 5*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 50759 at most as big as 406065\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -126*m**2 + 2*m**3 + 2 - 4*m + 67*m**2 + 60*m**2 in the form x*m + z + s*m**2 + w*m**3 and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*t - 302 = -5 for t.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Do -2000 and 1205\/6 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1\/(18\/1320))\/((-2)\/(-9)). Suppose -8 - 13 = -d. Let w = 9 + d. What is the greatest common divisor of r and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -3 + 1835?\nAnswer: 1832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 1 q, and 1 z when three letters picked without replacement from {g: 7, e: 4, w: 1, k: 3, q: 4, z: 1}.\nAnswer: 4\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 451, 458, 465?\nAnswer: 472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102202211210 + 112?\nAnswer: 102202212022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -20656*k - 309840. Give r(-15).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 h when four letters picked without replacement from {u: 3, m: 1, f: 5, h: 4}?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 155023\/6851 - (-10)\/155 - 12\/(-39).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 244318 is divided by 41.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -614*x - 2657 = 2323*x - 33724 - 92287 for x.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - r**3 - 23\/3*r + 16\/3*r**2 = 0 for r.\nAnswer: 1\/3, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 154624, 316896, 479178, 641476, 803796, 966144, 1128526?\nAnswer: 1290948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 633 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (52\/(-60))\/(-1) - 24\/(-180)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22624337?\nAnswer: 22624337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1)*(1 - 0\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -i**4\/30 + 4*i**3\/15 - 4*i**2\/5 - 3*i - 9. Let s(d) be the first derivative of p(d). Factor s(l).\nAnswer: -2*(l - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 + 211 = -74*a. Sort 7, a, -2, -4.\nAnswer: a, -4, -2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*s + 23*s = -3020. Let x = s - -19. What are the prime factors of x?\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 i when two letters picked without replacement from {q: 1, k: 1, i: 8, y: 3, f: 6}?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 322 - 789 = -4*i, -569 = -2*i + 5*r. Is i a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 1 = -3*h + u, -4*h + 4*u = 12. Suppose 2*n - 11 = -5*f, -n - 14 = -4*f - 0*f. Solve f*m - 6 + h = 0 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 10 + 0*r + 2*r)*(-r**3 + r**3 - r**3).\nAnswer: -2*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (0 + 0 + 1 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h**3 - 75*h**2 + 561*h - 1089 = 0. Calculate h.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 1, -5*a + 8*a = -5*s + 10. Solve 0 = -5*k - 5*z + a, -5*k = -2*k - 3*z + 15 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i + 9*q - 4*q + 394, -2*i - 3*q = 198. Let o be 39 + 0 + -2 + i\/24. Calculate the highest common factor of 363 and o.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/559*13416\/1872.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gggq when four letters picked without replacement from {r: 7, g: 1, q: 1, v: 4}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -342\/13, -4\/7, 1.71, 0.2?\nAnswer: 1.71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xh when two letters picked without replacement from {h: 2, l: 1, g: 1, d: 6, c: 4, x: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.0285 and -4.\nAnswer: 0.114","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(102)\/(sqrt(6) + sqrt(30)\/sqrt(5)))**2.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one fifth of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -341*z - 1642. What is y(3)?\nAnswer: -2665","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 17495745 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -32485, -49145, -65805, -82465, -99125?\n\"Answer: -16660*s - 15825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -242*d + 241*d + 7 = 2*h, -10*h + 20 = 2*d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yivww. What is prob of sequence vww?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (((-12)\/(2400\/(-260)))\/(-1))\/(650\/(-200))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.7 + -0.3. Let u = -1.7 - v. Let j = 2.9 - -1.1. Sort -4, j, u in descending order.\nAnswer: j, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0091257505 to 6 decimal places.\nAnswer: 0.009126","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in three fifths of a tonne?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -s**2 + 11090*s + 65824.\nAnswer: -2*s + 11090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 9:02 AM?\nAnswer: 2:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-24 - -33) + (2 - 9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00615576997 rounded to four dps?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 1812 = 4*o, -o = 3*r - 662 - 4761. List the prime factors of r.\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1177)\/4 + (-4)\/(-16). Let c be (v\/8)\/(36\/(-48)). Is 50 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 375 + -371. Solve 2*r = k, a*k - r = k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105301 and 5488?\nAnswer: 343","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the first derivative of v**3 + 5*v - 162264. Let s(f) be the third derivative of -f**5\/60 - f**3\/6 + f**2. Determine -h(d) - 5*s(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -g - 3*u, -2*g - 40057*u + 40059*u = 20 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (x + 0*x + 2*x)*(17 + 8*x - 17)*(-22*x**2 - 38*x**2 + 10*x**2 + 2*x**2).\nAnswer: -1152*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 7646338, 7646340, 7646338, 7646326, 7646298, 7646248?\n\"Answer: -k**3 + 4*k**2 - 3*k + 7646338","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qaai when four letters picked without replacement from {g: 8, q: 3, i: 2, a: 3}.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99 is divided by 34?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - 2 - 18 - (-14 - 7 - -14)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 994 or 73531\/74?\nAnswer: 73531\/74","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/567, 2, 4, 5, -0.2 in decreasing order.\nAnswer: 5, 4, 2, -2\/567, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 254259565?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -266 - -268. Let x = 76\/33 - -1\/33. Is x equal to w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.0464, 1.2, -4?\nAnswer: 0.0464","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.08 and -0.019?\nAnswer: -0.00152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1831 and 10.\nAnswer: 18310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 510064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(3\/5))**(3\/5))**(1\/10) assuming f is positive.\nAnswer: f**(9\/250)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10.73 - 0.27. Let y = -11.805 - -6.805. Which is the biggest value? (a) y (b) -4 (c) r (d) 3\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -364884 (base 11) to base 13\nAnswer: -172a61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 39869568 and 6644928.\nAnswer: 39869568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 687500?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.979 + 1.391. Let f = 3.37 - h. Which is the second smallest value? (a) -2\/5 (b) f (c) -13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/7, -17, 0, -0.3, 3\/4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 487642577 to the nearest integer?\nAnswer: 787","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102*s - 308404*s**2 + 103*s + 96*s - 301*s.\nAnswer: -308404*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 961, 956, 951?\nAnswer: 946","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/80 and 43\/55.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 187?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 j when two letters picked without replacement from {j: 13, g: 6}?\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-56)\/(-16) - 6)*2\/4.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 162.23714 rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddjdhdiht. Give prob of sequence ij.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000027088 rounded to seven decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 101 - -10?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 542 is divided by 188.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28526, 61651, 94776, 127901?\nAnswer: 161026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 3162279.7 to the nearest 10000.\nAnswer: 3160000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -6883, -6881, -6877, -6871, -6863, -6853?\n\"Answer: a**2 - a - 6883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23362 is divided by 66.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 10. Let d be (-13 - -14)*(1 - q). Which is bigger: d or -2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 - 5*k + 10. Let q be s(-7). Let m be 32\/(-6)*q\/115. Let d = m + 1\/69. What is the closest to d in -1\/6, -3, 2?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l - 90 + 54*l + 89.\nAnswer: 36*l - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 16bd (base 16) in base 9?\nAnswer: 7877","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 7) to base 6.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide (-290)\/(-4) + (-9)\/(-18)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9777.8018 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3681, -6031, -8387, -10749, -13117?\nAnswer: -15491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sclraryc. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20 + 16 - 57 + 102*o**3 + 66*o**3 + 19.\nAnswer: 168*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*-3*((4 + -3*sqrt(2450))*-4 + -4))**2.\nAnswer: -2419200*sqrt(2) + 50860800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 265185846\/(-243) + (-2)\/18*2. Round u to the nearest one hundred thousand.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4*3\/6)\/2)\/((-24231)\/(-1773))?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35977 to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 4*j**2 - 4*j + 8. Let l(w) = w**2 - w + 3. Let u(c) = -f(c) + 3*l(c). Suppose t - 5 = 6*t. Let p(b) = -4*b**2 + 2*b + 1. Determine t*p(h) + 2*u(h).\nAnswer: 2*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**3 + 8*c**2 - 6. Let y(m) be the first derivative of 3*m**4\/4 + 3*m**3 - 7*m - 2. Determine 7*x(f) - 6*y(f).\nAnswer: 3*f**3 + 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1188300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:45 PM and 7:45 AM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 161.750486 + 2?\nAnswer: 163.750486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*a - 6*a - 10. Sort -4, 0, a, -5 in decreasing order.\nAnswer: a, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 49197?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-15 + 2 - 8)*(-1 + 0 + 2)*((2 - 4 + 0)*(-3*a**2 + 0*a**2 + 4*a**2) + a - 3*a + a**2 - 2*a) to the form p*a**2 + s + l*a and give p.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1989985*i**4 - 41486019.\nAnswer: 7959940*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3021 (base 5) to base 11.\nAnswer: -321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19 - 8 - 12) + (1 - 5) + -29 + 5?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.35778 + -0.15778. What is the second biggest value in i, -3, -1922?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 80295*o**3 - 160610*o**2 + 80335*o - 20.\nAnswer: 5*(o - 1)**2*(16059*o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -4*y. Let j(h) be the first derivative of 3 + 21 - 5 + 2*h**2. Determine j(a(s)).\nAnswer: -16*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 i when three letters picked without replacement from {i: 3, d: 4}.\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 11:53 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/7 at most as big as -32.849?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v - 7. Let z be l(6). Let o(g) = -138*g**2 + g - 6. Let u(w) = 277*w**2 - 2*w + 11. Let c(y) = 11*o(y) + 6*u(y). Is c(z) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -b + b + 4*b**3 + 22 + 8*b**3 - 22 + (b**2 + 2*b**2 - 2*b**2)*(1 - 1 + 4*b).\nAnswer: 16*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.25 - 21.85. Let o = n - -20.93. Round o to one decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -13263536.\nAnswer: 66317680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 11273 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -1023*g**2 - 5*g + 8. Let b(c) = -2042*c**2 - 12*c + 19. Determine 2*b(j) - 5*w(j).\nAnswer: 1031*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 500423 and 593285?\nAnswer: 57548645","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 12 = 2*x. Let k(t) = 5*t**3 + t**2 + 18*t - 12. Let z(v) = 2*v**3 + 6*v - 4. Let o(s) = x*k(s) - 8*z(s). Is o(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 311\/966 + -5\/138. Let j = -10 - -6. Sort h, j, 1\/3 in descending order.\nAnswer: 1\/3, h, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 105\/1069 (b) -3\/7 (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2405 + 14?\nAnswer: -2361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is m in 12*m**2\/7 + 960345945*m\/7 - 240086487\/7 = 0?\nAnswer: -80028829, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 - 55*k**2 - 108*k + 6053. Determine g(55).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 38, -85, 6 in descending order.\nAnswer: 38, 6, -85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 11046 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: Calculate the remainder when 182517 is divided by 260.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -3*l + 1. Calculate q(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the first derivative of q**2 + 9*q - 62. Let j(w) = w**2 - w + 1. Let b(x) = -d(x) - j(x). Calculate b(0).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:03 AM?\nAnswer: 10:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 13*m - 37. Let g be b(4). Suppose 0 = g*t + 2 - 17. Does 28 divide (125\/t - -1) + -43 + 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the third derivative of 9*m**2 - 1\/20*m**5 + 0 + 0*m - 1\/3*m**4 + 5\/6*m**3. Let q(f) be the first derivative of t(f). Differentiate q(y) wrt y.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10 - -3) + -8 + (4 - -6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -33*w + 490. Let c be j(15). Let k = -10 - -10.1. What is the nearest to k in -1, c, 68?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 543220 is divided by 31953.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 2. Let d(i) = i**2 - 10. Let j(y) = -d(y) - 5*f(y). Let g(l) = -13*l. Calculate g(j(o)).\nAnswer: 13*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -334*v**3 - 352*v**3 + 668*v**3.\nAnswer: -18*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38023 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2040881699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11 and 5840417.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 224, 192, 138, 56, -60, -216, -418, -672?\n\"Answer: -b**3 - 5*b**2 - 10*b + 240","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 50*z - 626. Calculate j(21).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(0 + sqrt(700))**2 + 2.\nAnswer: -698","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1794*d - 2877*d - 303615 for d.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -29, -188, -621, -1466, -2861, -4944, -7853, -11726?\n\"Answer: -23*p**3 + p**2 - p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 1993*l + 1. Let r be a(1). Let z be 269\/2*r*25. Suppose 0 = -3*j - z - 6495175. Round j to the nearest 1000000.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p + 15. Suppose 4*b + 14 = 6*b. Let k be r(b). Let s be 28\/(-35)*5 - (-16 - 0). What is the greatest common divisor of k and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 946872516?\nAnswer: 2, 3, 383, 206021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -45 + 1184 + -1093.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 9 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 PM and 8:35 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 292 a factor of 91470752?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 54492 and 5747472.\nAnswer: 109201968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3614 or 11?\nAnswer: 3614","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(110) - -2*sqrt(110))\/sqrt(5))\/(2*sqrt(288) + sqrt(288)))**2*3.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -25471 and -0.1.\nAnswer: 2547.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*r - 2*r - 8 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = -5*t - 5*u, 2*t = -u + 64 - 65 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*a - 2*a - 2538 = 0. Let r = 144 + a. Solve 2*m = 3*m - r for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 123125684 and 123125684.\nAnswer: 123125684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r + 8 = 11*r. Let g be 3\/(-2)*5\/((-15)\/r). Solve 23*j**2 - 74*j**2 - 8*j + 33*j**2 - 4*j**g + 30*j**2 = 0 for j.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 5*r = 0. Let i = 2 - r. Let q = -0.25 - 0.75. Which is bigger: i or q?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 6*(21\/6 - 2). Let z = m + -6. Suppose -g - z = -2*g. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3500 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 688298?\nAnswer: 2, 13, 23, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 4*z + 3140 = 0, -2*z + 517 = 3*k - 1369. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 274*a*i**3 + a*i**2 - 12*a*i - 2*a - 8*i wrt i?\nAnswer: 1644*a*i + 2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((sqrt(88)*1)\/sqrt(8) + (2 + sqrt(176) - sqrt(11)) + (-2*(sqrt(88) - sqrt(88)*2))\/sqrt(8))**2*-5.\nAnswer: 120*sqrt(11) + 2000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*s**4*v - 35908*s**3*v + 1434383*s*v wrt s.\nAnswer: 132*s**2*v - 215448*s*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 2*l + 1. Let h(w) = -22*w - 6. Let k(v) = -h(v) - 6*y(v). Let d(n) = n**2. Give k(d(g)).\nAnswer: -6*g**4 + 10*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, p: 10, a: 2, q: 2, z: 3}. What is prob of picking 1 q and 2 y?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6720 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/2)\/(216\/8)*-2\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + (3 - 0)\/3. Which is bigger: j or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 850750059 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 7) to base 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in -13.6, -1\/2, -0.1, 34, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**2 + 2*m. Let c(b) = -7*b**2 - 3*b. Suppose -3*i - 2*i - 20 = 0. Suppose 5*k - 5 = 6*k. Determine i*c(t) + k*d(t).\nAnswer: -2*t**2 + 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/(sqrt(8)*3))**2 + sqrt(3) + (-2 + sqrt(243) + sqrt(243))**2.\nAnswer: -71*sqrt(3) + 2929\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8 + -3b34?\nAnswer: -3b3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/432*3)\/((3960\/(-108))\/55)?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 17169516?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4\/(-20) + (5 - 5111\/(-5)) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 - 6*k + 4. Let w(a) = -a**2 - 5*a + 3. Let j(h) = -4*t(h) + 5*w(h). Let p be j(-2). List the prime factors of 3\/p + 7 + -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 8, a: 2, x: 4, o: 3}. What is prob of sequence ox?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 16 + 8. Suppose -y*k = -10*k + 4. Solve 3*g + r = 14, -k*g + r - 2*r + 11 = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (122*q + 60*q + 11*q)*(-q**3 + 2 - 2) + (-2 - 3*q + 2)*(7*q**3 + 37*q - 37*q) + 2*q**4 + 2*q**2 - 2*q**2.\nAnswer: -212*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -150*r + 4448 = -134*r. Is 3 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 143*j**3*w - 6*j**3 + 6*j**2*w - j*w + 7*j + 2*w - 958 wrt w.\nAnswer: 143*j**3 + 6*j**2 - j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -213, -871, -1971, -3513, -5497, -7923, -10791?\n\"Answer: -221*f**2 + 5*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -3*o + 127. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/2 - 1\/2. Let i(z) = -3*z**3 + 2*z**3 + 5 + z**2 + 0. Let f be i(0). Which is the closest to -0.1? (a) f (b) 1 (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 9*k**4\/4 + 2*k**3\/3 + k**2 + k + 62. Determine u(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-18))\/((-15)\/(-9))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 43 - -4404025?\nAnswer: 4404101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 2*h**3 + 0*h**3)*(-h - h**2 + h) + h**5 - 14*h**2 + 14*h**2 + h**4 + 2*h**5 - h**4.\nAnswer: h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 617541 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**3 + 6*c**2 + 2*c + 7. Let d be v(-6). Let k = -3 - d. Solve -1 = -h + k*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a milligram in micrograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c\/((c**(2\/19)*c)\/c)))\/(c*c**(-1\/2)*c) assuming c is positive.\nAnswer: c**(-15\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the second derivative of -k**5\/5 - k**4\/12 + 6*k. Find the third derivative of o(u) wrt u.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*j - 10, -2*j = 3*l - 2 - 5. Suppose -2*s + 25 = l*s. Solve -3*q + s*q = -8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 719377679 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(156) - (-2*(sqrt(156) - (sqrt(156) + sqrt(156)*2 - sqrt(156)) - sqrt(156)) + sqrt(156)))\/(sqrt(12) + sqrt(120)\/sqrt(40))*-6.\nAnswer: 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27862376 - 17782394. Let z be (-2)\/8 + a\/(-72). Round z to the nearest ten thousand.\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 21*n**2 + 11*n**2 + 2*n**2 - 3*n**2.\nAnswer: 31*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 79094 and 1114?\nAnswer: 79094","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40*o**2*w**4 - 135439*o**2*w**3 + 1852953*o**2*w**2 - 3*o*w**2 wrt w.\nAnswer: -960*o**2*w - 812634*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (1 + 1) - (-1 + -9)) + -34.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.2631 - 4.2631. What is the second smallest value in -28, h, 98?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*a - 7*a - 1 + 5 + 0 as s + h*a and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1 - -2.1. Let i = y + -3. What is the second biggest value in 3, 2, i?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 24.68, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*w - 287 = -285, -11 = 5*m - w for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 5:37 PM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 - 84*t - 779. Determine r(-74).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 10 and 614935.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**6*l*l))\/(l**(-33)*l*l)*(((l*l*l*l**(-2\/7))\/l)\/l)\/l*(l**(-37\/3)*l)\/l*l assuming l is positive.\nAnswer: l**(260\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 107?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/11? (a) -0.6 (b) 0.1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3 + (-5)\/2)*12. Suppose 0 = -2*b - k, b - 2 = 4*u + 3. List the prime factors of (-1 - u)\/(7\/189).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + r = -15, -t = 2*t + r - 15. Suppose -7 = 3*l + t. Let i be l + 10*(-2)\/(-4). Solve -10 = 5*j - 5*o, 4*o - i = -j + 6*o for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53340*a - 175472 wrt a?\nAnswer: -53340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -8785, -13804, -18821, -23836, -28849?\n\"Answer: n**2 - 5022*n - 3764","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 19 - ((25 + 0 - 3) + -12) - 42?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5*(-74)\/40?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/24 and 65\/168.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and -58?\nAnswer: 5.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2113 - -4143. Let i = 2013.34 - z. What is i rounded to zero decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -344273*n + 6*n**2 - n**3 + 344274*n + 1 + 11*n**3 to the form v*n**2 + m + b*n + z*n**3 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**2 + 6. Let t(z) = z - 6. Let p be t(0). Let f(g) = 1. Let i be -2 + -3 - ((-216)\/(-4))\/(-9). Calculate i*j(u) + p*f(u).\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2 - 6*q + 31. Let x be v(-6). What is the tens digit of (-159*(-4)\/15)\/((-2)\/x)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 24\/32 + (-3)\/4. Suppose 14*b + g = -0. Solve 4*y + 4 + b = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11968 + 5\/(6 - 11) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**2 - 46*h + 524. Give o(24).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 21, 9, -2.\nAnswer: -2, -1, 9, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 279.266 and 68.\nAnswer: 18990.088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -3\/2*k**2 - 5\/18*k**4 - 20*k - 1\/252*k**7 + 1\/30*k**6 - 1\/20*k**5 + 0 + 13\/12*k**3. Solve p(n) = 0 for n.\nAnswer: -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*(2\/(-4))\/(20\/24)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n + 2. Let c be m(-1). Let q be (c\/(-2))\/((-19)\/38). Let v(f) = 18*f**2 + 1. Is v(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m = -5*k + 4, 5 = k - 0. Let w = 3986 + -3991. Let v(r) = r**3 + 5*r**2 - 9. Let y(q) = -q**3 - 7*q**2 + 13. Determine m*v(n) + w*y(n).\nAnswer: -2*n**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes before 3:40 PM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*d**3 + 4*d**3 + 12*d**3 + 9*d**3 + 6*d**3.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 102 (base 6) to base 12\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 - -8. Suppose -5*d + p*j - 2*j + 1450 = 0, 5*d + j = 1456. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/5? (a) 0.28 (b) 0.16 (c) 0.2 (d) 1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = 10*m**2 - 13*m - 9. Let c(d) be the third derivative of d**5\/12 - d**4\/4 - 2*d**3\/3 + 575*d**2. What is 7*c(z) - 3*f(z)?\nAnswer: 5*z**2 - 3*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(110) - (-2*sqrt(110) - sqrt(110))))\/(1*(sqrt(5) + sqrt(20))))\/(3*-1*(sqrt(242) + sqrt(242) + 1*sqrt(242))).\nAnswer: 8*sqrt(11)\/99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 58\/455 and 63\/76288.\nAnswer: 34711040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5523 + 113123?\nAnswer: 106500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 51.6. Let n = x - -18. What is the third smallest value in 2, 5, n?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 27. Let m = i + -13. Let u = m + -13. What is the smallest value in 3, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s - 5. Let u be r(-5). Suppose 4*d - d + 15 = u, -5*d = -i + 56. What are the prime factors of i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 75534, 151067, 226600?\n\"Answer: 75533*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = x - 5. Suppose -3*a = 5*f - 53, 4*f - x*a = -3*a + 60. Suppose r - 4*k + 7 = 0, 0 = -4*k + f - 1. Solve -u = 3*s - 1, 0 = -u - 5*s + r - 4 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**2\/4 - 683*q\/4 - 4879\/2 = 0. What is q?\nAnswer: -14, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -4 - 2) + -3 - 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 9:53 AM?\nAnswer: 5:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -422\/65 in -0.02, 0.4, 1, 2?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 g when three letters picked without replacement from fffgfggfgffgg.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -132, -524, -1178, -2094?\n\"Answer: -131*c**2 + c - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1265 by 27.\nAnswer: 1265\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 + 68?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u - 3. Let n be s(8). Suppose 4*v + n*o = -0*o - 6020, 3*o = 3*v + 4488. Round v to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 32.45572l?\nAnswer: 32455.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 103*x**3 + 2*x - 1. Give n(1).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*w + 5*w - v, 4*v - 6 = 3*w. Suppose -24 = 2*c - w*o, 35*o + 3 = 36*o. Let d = 7 + -5. Put 3, c, d in ascending order.\nAnswer: c, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u + 45. Let g = 9 - 5. Let f be t(g). Calculate the greatest common divisor of 11 and f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*n - 195 + 195)*(4*n - 4*n - 2*n**3) + 13*n**3 - 24*n**3 + 13*n**3 + 2 - 7*n**4.\nAnswer: 13*n**4 + 2*n**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 1. Let d(x) be the third derivative of x**4\/24 - 7*x**3\/6 + 7*x**2 + 6*x. Give d(o) + 6*h(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1094.7356 + 0.2644. Let g = -1093.118 + u. Let i = -1.8820797 + g. Round i to 5 decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 77465 times -6?\nAnswer: -464790","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 64*v**2 + 130*v - 136. Let x be u(-66). Let p(r) = -r - 1. Let w(h) = h + 1. What is x*w(o) - 3*p(o)?\nAnswer: -o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 49 - 53 = 3*a, 0 = -2*b - 3*a + 42. What are the prime factors of 2 - ((-176)\/b)\/((-4)\/(-18))?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7.3592475 - 16.8864477. Let n = 9.4872 + y. Let p = n - -0.04. What is p rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 6 = 6*c, -3*c + 6 = 2*u + 9. Solve 3*x = i + 2*x, -i + 3*x - 6 = u for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 - (-14 + 5 - (-19 + -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*v**2 - 5*v**3 + 7 + 6*v**3 - 5*v**2 + 3*v**3 + 2*v as j + o*v + p*v**2 + u*v**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**1)**(-9))**(-3\/14) assuming n is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/4*2*1. Let k be w - (3 + -3 + -1). Suppose 0 = -k*n - n. Solve n = -2*t - 3*p + p + 4, -4*t - 16 = -4*p for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u = -0*u + 88. Calculate the smallest common multiple of (-2)\/(-2) + 1903\/u and 6.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -51*x**2 - 3*x - 4. Let j(o) = o**2 - o - 1. What is -3*j(u) + s(u)?\nAnswer: -54*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4*s - 34. Let d be n(9). Let v be (-24)\/8*d\/3 - -10. Let f be (-8)\/(-1) + 0 - 0\/v. Solve 4*o = 16, 1 = 3*i - f*i + 4*o for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 - 7*w - 4. What is b(10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -179*i**3 + 554879885912*i**2 - 554879885912*i**2.\nAnswer: -179*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3*j = -120. Suppose q - j = 4*q. Sort -1, q, -2 in decreasing order.\nAnswer: -1, -2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 62\/14 + 8\/14. Let m be r\/10*1*20. List the prime factors of 38\/5 - m\/(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 8*z**2 + 4*z + 5. Calculate i(5).\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (8\/(-16))\/(((-3)\/6 - -13)*3\/(-420)). Suppose -10*t - 2\/5*t**3 + 24\/5 + f*t**2 = 0. Calculate t.\nAnswer: 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 440\/168 + 4\/(-14). Let p = -163\/3 + 53. What is the closest to 1 in x, p, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -17.06 + 16.86. What is the nearest to -6 in -0.01, -0.5, o?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 38 - 47*f + 19*f + 43 - f**2. What is the units digit of b(-27)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9372 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 6*r - r - 59, -5 = -5*r. Find the common denominator of (-360)\/175 + (-9)\/f and -47\/90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*o - 24205 = 22*o. Is o less than -235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (6\/(-10) - -1)*-5. Let a be 72\/((-27)\/(-3)) - 0. Suppose -5*i - 5 = 0, 2*i = -24*x + 22*x - a. Put x, -5, -4, q in decreasing order.\nAnswer: q, x, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4*(-6 + (-1704)\/16). Let b = q + -122. Calculate the lowest common multiple of 2 and b.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 16*p + 124. Let t(r) = 21*r + 186. Calculate 8*b(l) - 5*t(l).\nAnswer: 23*l + 62","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14226.\nAnswer: 2, 3, 2371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 6996423?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2ac587 + c?\nAnswer: 2ac596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 7299847 and 0.03.\nAnswer: 218995.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 - 3*z - 3. Let g be m(-1). Let d(v) = 3*v**3 + 2*v**2 + v. Let x be d(-1). Let t be (14\/4 - 2)*x. Put -4, t, g in ascending order.\nAnswer: -4, t, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -8*d**5\/5 + 644186*d**4\/5 - 66447926*d**3\/5 + 1689286088*d**2\/5 + 1321466848*d\/5 - 86982272 = 0.\nAnswer: -1, 1\/4, 52, 80420","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100110101011 (base 2) to base 3.\nAnswer: 100000101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 3*s = 7 - 49, -3*s - 264 = -5*i. Let w = i - 32. What is the greatest common divisor of w and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 97775 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*v + 2*a + 19, 0 = v + 2*a - a - 1. Suppose -v*z + 2*z = -970. Round z to the nearest 100.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*j**2 + 0*j**2 + j**3)*(1 + 0 + 0)*(100 - 100 - 20*j) to the form d*j**3 + t*j**4 + s*j + r + h*j**2 and give t.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*l**2 + 13 - 90 + 19 - 74.\nAnswer: -4*l**2 - 132","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*b - 9*b = 7*b - 2*g - 6, 4*b - 4*g = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10887, 87171, 294239, 697485, 1362303, 2354087, 3738231, 5580129?\nAnswer: 7945175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 2*p - 4*p - 13*p + 7*p - 22*p + (-1 + 1 - p)*(-3 + 2 + 3).\nAnswer: -38*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n\/(n*n*n**(-1)))\/(n\/n**(-2\/9)))\/(n**(-4)*n*(n**0\/n*n*n)\/n) assuming n is positive.\nAnswer: n**(25\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10413 in 20, 3, 3\/4?\nAnswer: 20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of -o**6\/6 - 3*o**5\/5 - o**4\/2 - 4. Solve w(l) = 0 for l.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m. Let f(k) = -14*k + 16*k + 26*k. What is c(f(q))?\nAnswer: -28*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 6 = 2*o. Let m be (-3)\/(-7) + 1008\/49. Suppose 4*w - w = -2*a + m, w = 5. Solve y = a - o for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -741, -1481, -2221, -2961, -3701, -4441?\n\"Answer: -740*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, l: 12}. Give prob of sequence le.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*d + 52*d + 3*d**2 - 111*d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 4*u - 4 = 0, -d = -4*u - 45 + 61 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*(sqrt(84) + 3*sqrt(84)*2))\/((sqrt(12) - (sqrt(12) + -1*sqrt(12)))*5 + sqrt(108)*3).\nAnswer: -9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 28 = -2*i - i, 0 = d - 4*i - 1. Suppose 0 = d*s + o + 5, 2*s = s - 2*o - 10. Suppose -3*y + 24 = -s*l + 5*l, l = 3*y - 6. Is l even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (7 - 12) - (1 + 6) - -12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c**3 + c**2 - 3*c**2 + 2*c**3 - 3*c + 6*c to y + i*c**3 + r*c**2 + b*c and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + p. Let f(x) = -15*x**3 + 15*x**2 + 17*x - 141. Let m(s) = 8*s**3 - 8*s**2 - 9*s + 77. Let i(g) = -6*f(g) - 11*m(g). Calculate -i(a) - 3*t(a).\nAnswer: -5*a**3 + 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 399156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1875)\/100 + 28)*7\/((-42)\/24)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 45816?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 381743869 to the nearest integer?\nAnswer: 19538","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3392 divided by -3.\nAnswer: 3392\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5758 - -5786. Calculate the highest common factor of m and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -29152 from -2799107.\nAnswer: -2769955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -g - g + 14. Let m(z) = 5*z**2 + 7*z + 3. Let j(v) = -v**2 - 1. Let b(x) = 6*j(x) + m(x). What is b(g)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 1764121 to the power of 1\/5, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to -1\/65247453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - ((-1 - -7) + -13).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 213 and 1633.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-1\/2)*f)**(-37)*f**(-4\/3)*f**(1\/2)*f*((f*f\/(f*f**(-3)))\/f*f*f*f*f\/(((f*(f\/f**(2\/7))\/f)\/f)\/f*f))**(-34\/5) assuming f is positive.\nAnswer: f**(-14897\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:43 AM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y**3\/5 - 112*y**2\/5 - 329*y\/5 - 218\/5 = 0.\nAnswer: -109, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m**(1\/2)*m)\/m)\/m**(-2\/7))\/(m\/(m\/(m**1\/m))*(m\/m**(-4\/7)*m*m)\/m) assuming m is positive.\nAnswer: m**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 w when three letters picked without replacement from {v: 2, w: 2, l: 4, j: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2290*c = -2271*c - 171, -7 = -2*n - c for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -341, -125, 241, 763, 1447, 2299, 3325?\nAnswer: 4531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11217 divided by 4.\nAnswer: -11217\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/13760 and 33\/2240.\nAnswer: 96320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i**2 - 1. Let s(g) = 4*g**3 - 9*g**2 + 67*g + 5. Let h(m) = -5*a(m) - s(m). Find the second derivative of h(b) wrt b.\nAnswer: -24*b + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2.7 + -2.9. Which is the second smallest value? (a) -11 (b) p (c) -1 (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1789 = 180*h - 1811. What is the remainder when 5617 is divided by h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -16550 (base 8) to base 6\nAnswer: -54504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 31623 (base 12) in base 10?\nAnswer: 64827","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1 + 4. Find the second derivative of -9*g**5 + 29*g**a - 242*g + 246*g wrt g.\nAnswer: 400*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13 divided by 55432\nAnswer: 1\/4264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2494*q**4 - 2*q**3 + 1750*q**2?\nAnswer: -59856*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14384583?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 2, 0*a - 3*a - 490 = -2*x. Suppose 2*w + 3*l - 7*l - x = 0, 3*w - 363 = 3*l. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 2*i. Let q(n) = -5*n - 3*n + 7*n. Calculate q(b(d)).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 328.8 + -329. Let r = -10 + 6. Let i(v) = -v**2 + 4*v - 3. Let w be i(2). What is the nearest to w in o, -0.4, r?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31 minutes before 9:55 PM?\nAnswer: 9:24 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Is 350647951 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4 - (2 - 2)) + -1188. Let k = i - -5074. Let x = 5771 - k. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-56)\/20 - 5256\/480.\nAnswer: -55\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2528229*b**6 - 15043727*b**2?\nAnswer: 303387480*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 553, 550, 547, 544, 541?\nAnswer: 538","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -413 - -449. Suppose 18*h + 18 = -w. Let i(a) = -a**3 - a**2 + a + 3. Let g(v) = 2*v**3 + v**2 - 2*v - 5. Give h*g(n) - 5*i(n).\nAnswer: -n**3 + 2*n**2 + n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of -6551001481 and 134.\nAnswer: -6551001347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 3204 divided by 6\nAnswer: 534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4)*1 - (-306)\/8. Suppose -3*t + 31 = -m + 2*m, -a = -2*m + 2*t. Let j = 110 + -69. Calculate the remainder when j is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-5)*(-1905)\/889\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 13564773 and 1507197.\nAnswer: 13564773","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-88)\/(-66)*(-494)\/1729?\nAnswer: -8\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -13*o + 12. Let z(f) = 27*f - 24. Determine 5*b(s) + 2*z(s).\nAnswer: -11*s + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/7? (a) -0.2 (b) -205.8 (c) 0.196 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 14895744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from igttidttt. Give prob of picking 1 d and 1 i.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*r - 13610 = 13*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 3 + 19. Suppose -i = -x*i. Solve 2*p = -i*k - 5*k, k = 3*p - 17 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h\/(h**17*h))\/(h*h*h*h**(1\/3)))\/(h**(-11)\/(h**(-9)\/h)) assuming h is positive.\nAnswer: h**(-52\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 14 = -8. Solve -6 = -s*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the second derivative of -m**6\/30 + 29*m**4 - 6461*m**2\/2 - 11909*m. What is the first derivative of h(w) wrt w?\nAnswer: -4*w**3 + 696*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5729668*y**2 - 39287181.\nAnswer: -11459336*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19034 = -366*y + 3874*y - 19313 - 241 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-94*h - 247*h + 17*h)*(-5 + 3 - h**4 - 2).\nAnswer: 324*h**5 + 1296*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/7, 6, 2\/9, 4 in ascending order.\nAnswer: 2\/9, 3\/7, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-27))\/((-12)\/90*(-75)\/12).\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 8*u. Suppose -4*r + q = -9*r + 56, u = -3*r - 3*q + 24. What is the remainder when r is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*k**6*x**3 - 11*k**2*x**3 + 3*k**2*x - 4*x**2 wrt k.\nAnswer: 31320*k**3*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 - 17*h + 4. Let d(m) = -m**2 - 1. Let i(c) = 2*d(c) - l(c). Suppose -3*x + 9*x = 72. Calculate the remainder when i(x) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 99239 to the nearest integer?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(1 + 4 + -2). Let d be v\/(-27) + 1942\/18. Let a = -86 + d. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 10, l: 4, f: 5}. Give prob of picking 1 l and 3 n.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 5*d + 7*d = -94, 3*u + 3*d - 48 = 0. Solve -u*n = 4*n + 66 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(4 + sqrt(2) + 0 + -5 + (sqrt(20)*1)\/sqrt(10)))**2 + (-4*(sqrt(16)\/sqrt(4) + sqrt(4)) - sqrt(4) - sqrt(4))\/(sqrt(4)\/sqrt(2)*3).\nAnswer: -58*sqrt(2)\/3 + 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l = 2*l + 4. Let z be (-3200001)\/1 - (-2)\/l. Round z to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**3 - 4*y**2 - y - 3. Let l be 2\/8 + 95\/20. What are the prime factors of n(l)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -603*o**2 + 2 - 2 + 0 + 570*o**2.\nAnswer: -33*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 5 - 2)*(6 - 5 - 2) + 38 - 18 + 29)*(-x**4 - 3*x**2 + x**2 + 0*x**4).\nAnswer: -50*x**4 - 100*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = 932*y - 1. Let s(h) = -h. Determine s(b(i)).\nAnswer: -932*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 17561140 to the nearest integer?\nAnswer: 4191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5.3, -0.5, -0.57067.\nAnswer: -0.57067, -0.5, 5.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 560833?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 34316128357 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 59910 divided by -19970?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(56)\/(sqrt(128) + sqrt(128)*4 + sqrt(128)))\/(sqrt(324)*1 - (sqrt(36)*6 + sqrt(4))).\nAnswer: -sqrt(7)\/96","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21 + 4118)*(2 - 1). What is the highest common factor of b and 723?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -883.238 rounded to 0 dps?\nAnswer: -883","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the second derivative of -1777*c**5\/20 + 11*c**4\/4 + 4*c**3\/3 + 8*c**2 + c + 4. Let i be d(16). Round i to the nearest 1000000.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 16*t**2 - 2*t + 231. Determine d(-12).\nAnswer: 831","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -12, -3, 1 in descending order.\nAnswer: 1, -2, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ij when two letters picked without replacement from rrhkhjvkrhi.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.018 + 0.318. Which is the second smallest value? (a) -5 (b) 36 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 + -238611.\nAnswer: -238618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28697 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12*x**3 - 1. Let f(c) = -c**2 + 3*c + 5. Let m be f(4). Let u be l(m). Suppose 13 = 3*t - 20. Calculate the highest common divisor of u and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52088524?\nAnswer: 2, 29, 251, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**2. Let y(p) be the second derivative of -p**4\/6 - 22*p. Determine z(y(j)).\nAnswer: -56*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + 17*c**2 + 414*c - 54. Determine l(-15).\nAnswer: 936","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -476 divided by -17?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) be the second derivative of -1845*f**4\/4 + 2837*f**3\/6 + 9272*f. Find the second derivative of l(v) wrt v.\nAnswer: -11070","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6*(-3 + 33\/9) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12 by 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:35 PM and 5:19 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1 + (-1)\/(-2))*-2. Let i be ((-5)\/4)\/(h\/60). Let o(a) = -12*a + 324. Let u be o(27). Solve -i = -5*y - u*y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -139\/6210 and -103\/2964.\nAnswer: 3067740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94080 = -1789*q + 1799*q. Is q a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 62*n**4 - 73*n**2 + 9*n. Let g(q) = -31*q**4 + 36*q**2 - 4*q. Let w(u) = -9*g(u) - 4*r(u). What is the third derivative of w(l) wrt l?\nAnswer: 744*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 18995570\/345447 + -7200\/131. Calculate the common denominator of v and 133\/24.\nAnswer: 21096","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1)\/g*g*g)\/g)**45*g*g**4*g*g**(-3) assuming g is positive.\nAnswer: g**(-42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = -4*x - 5*l + 14, l + 6 = x. Let i = 11 - 6. Calculate the smallest common multiple of i and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 28 = -5*w, -4*w + 15 = 4*x - 9. Suppose w*i - 10 = 5. Suppose -i*u + 191 = -19. Does 13 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*a + 688 - 10492. Suppose 660 = 2*u + 6*r - 10*r, -2*r - a = -5*u. List the prime factors of u.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -6 - (-19 - -17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 36 = -16*o. Put o, -63, 0, -0.5 in decreasing order.\nAnswer: o, 0, -0.5, -63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23370 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 3, u: 4}. Give prob of sequence nunn.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 - 491*d**2 + 10722*d + 19542. Determine r(468).\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(99) - (-2*sqrt(99) + sqrt(99))) + sqrt(99) + sqrt(99))*-5)\/(-4*sqrt(36)\/sqrt(4)).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, u: 1, c: 1, x: 2, t: 1}. Give prob of picking 1 t and 1 c.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.183 to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/10 + -82\/5. What is the common denominator of 55\/9 and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -2*y - 6. Let p be z(-6). Suppose -22 = 2*f - p. What is the common denominator of 117\/14 and ((-10)\/f)\/((-5)\/(-65))?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9289 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 213713?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 26 * -5.757\nAnswer: -149.682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20\/(-15))\/((-350)\/21).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, b: 1, m: 4, i: 3}. Give prob of picking 2 s and 1 b.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/7*(-250*(-16)\/480)\/((-25)\/(-210))?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4462 - 4399. What is the remainder when u is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 17348 or 17323?\nAnswer: 17348","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 24*o**2 + 6*o - 4. Let h be r(2). Let q = h + -98. Let n(c) = -c**3 + 5*c**2 + 6*c. What is n(q)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7019 + 7019.0062. Sort 0.1, -2\/3, g in ascending order.\nAnswer: -2\/3, g, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00011617 to five dps.\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 412 + 402 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -r + 5. Let l(v) = -3 - 3*v**2 - 7*v**3 + 6*v**3 - 2*v**2 + 6. What is l(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 44\/5 and 82\/123*(-6)\/(-8)*(-106)\/3703.\nAnswer: 18515","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1554 (base 7) to base 16\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 39*a**2. Let d(y) be the second derivative of y**4\/4 + 22*y. Determine d(s(l)).\nAnswer: 4563*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -69.391645 + 89531?\nAnswer: 89461.608355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1558838\/9 - -173037. Let b = m + 167. What is the nearest to -1 in 4\/7, 5\/3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126803 is divided by 262.\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 + -23. Let x(g) = -g**2 - 4*g - 3. Let s be x(-3). Let z = s + b. Solve z*w - 16 = -2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -69, -134, -193, -246?\n\"Answer: 3*m**2 - 74*m + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*s, 1386 = 2*k + s - 215. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1072117?\nAnswer: 47, 22811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0\/2*2*(19\/(-10))\/19.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 501 is divided by 56.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t**3 - t**2. Let z be p(-1). Solve z*a = 5*a + 8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wh when two letters picked without replacement from {s: 2, w: 4, x: 1, h: 7}.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -13? (a) -3\/11 (b) -4 (c) -5 (d) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4634, 9385, 14136?\n\"Answer: 4751*u - 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -4 + 1\/2*m**2 + m. Calculate q(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1, 10, 15, 10, -11?\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = 8*d - 4*d - 9, -5*v + 3*d + 6 = 0. Let r(c) = 16*c - 8. Calculate the remainder when r(v) is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 103, 128, 219, 418, 767, 1308?\n\"Answer: 7*r**3 - 9*r**2 + 3*r + 102","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of -17*y**2\/2 - 81*y - 4229. What is q(-4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -212512133 (base 6) to base 3\nAnswer: -21002200210010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.66 times -0.0103103\nAnswer: -0.006804798","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/(-15)*(-5)\/(-2). Let d be ((6 - 1) + -2)*-2. Let g be (d\/45)\/(6\/10). What is the second biggest value in g, s, 2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (21 + -19)) + (5 - 3) + -6 - 28?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24.97 + 25.03. Which is the closest to -1? (a) -4 (b) 1\/5 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.046, 5, 271\/4, -43, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 3\/66367?\nAnswer: 3\/66367","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/10 of a decade in months?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2149222.1 rounded to the nearest 10000?\nAnswer: -2150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -2, -4, 9.66032, 4.\nAnswer: -4, -2, -0.4, 4, 9.66032","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*h**2 - 21*h**2 + 18*h**2 - h + 13*h**2 + 5*h**2.\nAnswer: 34*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 1.1 times 0.6\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l, 1 j, and 1 z when four letters picked without replacement from {j: 1, l: 3, z: 4, h: 2, y: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -1*(-5)\/(-10)*(3 - 5). Is v at least -1\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.6084 decades in centuries?\nAnswer: 74.06084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1177 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -3. Suppose 0 = -17*l - 44 - 41. Let w be ((-40)\/(-44))\/l*-2. Is w at most b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12802.\nAnswer: 2, 37, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -6*y + 46. Let k(h) = -h**2 + 2*h + 25. Let p(n) = n**2 - 3*n - 26. Let c(o) = -3*k(o) - 2*p(o). Is c(y) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -759 = 6*a + 1725. Let o = -284 - a. What is the highest common divisor of 26 and o?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -874\nAnswer: 262.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -72*l**5 + 40236*l**4 + 6760*l**3 - 29040*l**2 - 15648*l - 2236 = 0. What is l?\nAnswer: -1\/2, -1\/3, 1, 559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*10\/45*(-3)\/2. What is the nearest to c in 0.1, -2, 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4002.1 + -4002. Which is smaller: q or -2\/24619?\nAnswer: -2\/24619","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 1\/20 of a gram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -55. Let v be ((-1)\/40)\/(3\/a). Let d = v - 1\/30. Which is smaller: d or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 smaller than -0.0264993?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-24)\/30)\/(2\/10*4\/14)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 - -1 - -3)\/((-338)\/(-13)). Let u = -2\/11 + 32\/55. What is the nearest to u in 1, d, 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3b4 (base 15) to base 9.\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 517 and 407?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/13)*k**(6\/11))\/(k\/(k**(-3)*k)*k**(-6)\/k) assuming k is positive.\nAnswer: k**(672\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -306*l**2*q**2 + 22842*l**2 + 442*l - 180587*q + 5 wrt q?\nAnswer: -612*l**2*q - 180587","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1211)\/(-14) - -6)*-1080. What is z rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 6 (b) 1\/3 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + 19 - (-1 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 424, 877, 1330, 1783?\nAnswer: 2236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -48 = -7*t - 55 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1346684 (base 9) in base 2?\nAnswer: -10110100100110111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 4*q - 4 = 0, -3*q = -2*r - 2*q + 10. Put -3, 0, r in ascending order.\nAnswer: -3, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -1\/4, -4, 0.04, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 112, 4, -1, 2, -4, 1099 in decreasing order.\nAnswer: 1099, 112, 4, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x - 4*x + 8. Suppose 3 = x*r - 53. Solve -j = 5*g - 2*j + 21, -4*g - r = 2*j for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2001*b**5 - 1313*b**2 wrt b.\nAnswer: 120060*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117)*-1*5*-5)\/(-3*sqrt(90)\/(-2*sqrt(10))))**2.\nAnswer: 32500\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**3\/h*h)\/h*h*h*h\/(h\/h**(-5\/3)))\/(h\/(h**(-6\/13)*h)*h**38) assuming h is positive.\nAnswer: h**(-1409\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1101111001011101 (base 2) in base 4?\nAnswer: 31321131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 581322 is divided by 581317?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + -2 + -1 + -3 + -1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 - 7. Suppose -46 = -4*s - 2*q, 3*s - p*q - 11 - 18 = 0. Is 11 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 is divided by 33?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -4844*g. Let a(d) = 5*d**2 + 7. Calculate o(a(p)).\nAnswer: -24220*p**2 - 33908","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -12*b**2 - 16*b + 6. Let p(x) = -4*x**2 - 5*x + 2. Let j(k) = 5*h(k) - 16*p(k). Let q(d) = -17*d**2 - d + 9. Give -9*j(i) - 2*q(i).\nAnswer: -2*i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -54 + (15 - 13) + 51.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = 2*b**2 + 20*b - 19. What are the prime factors of s(-19)?\nAnswer: 17, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 177 is divided by 55.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 111*m**2 + 12*m + 17. Calculate y(-1).\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k. Let t(g) be the first derivative of -g**4\/4 + 139*g**2\/2 + 15. Let i(q) be the second derivative of t(q). Determine h(i(o)).\nAnswer: -42*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 5*x + 12. Let t(h) be the first derivative of 5*h**2 + 23*h + 3. Let w(r) = 11*g(r) - 6*t(r). What is the tens digit of w(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 + 104*b - 881. Let i be d(8). Solve i*u = 8 - 23 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*n + 2*n + 249 = 5*z, -5*z = -3*n - 242. Let a be z\/(-21) - (-1)\/3. Let q(i) = -5*i + 2. Calculate the remainder when 45 is divided by q(a).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**9*k*(k*(k*(k*((k\/(k\/(k\/((k*k\/k**19)\/k))*k))\/k)\/k)\/k)\/k*k)\/k assuming k is positive.\nAnswer: k**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 24 (b) 1\/121 (c) 2 (d) -2 (e) -1\/32\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 8*d + 93. Let n be p(-9). What is the greatest common divisor of 28 and n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - (1 - 3)) + 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxg when three letters picked without replacement from xgu?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 19 = z, -29*h = -32*h + 4*z + 13 for h.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -3*y**4 + 178670340*y**3 - 2660257890316956*y**2 + 10641029417223840*y - 10641028702542528 = 0.\nAnswer: 2, 29778388","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -750, -1511, -2258, -2979, -3662, -4295?\n\"Answer: 2*m**3 - 5*m**2 - 760*m + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -573?\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1b2 - b01?\nAnswer: -cb3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k. Let d be p(3). Let u be 8\/3*d\/4. Suppose -3*b = -u*b - 2. Calculate the remainder when 5 is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -7\/224239642?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, 4\/5, 48, -0.5, -1850\/13 in ascending order.\nAnswer: -1850\/13, -0.5, -1\/8, 4\/5, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dddddpdppddddddd. Give prob of picking 1 d and 1 p.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4877 and -0.1.\nAnswer: 487.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 199 is divided by 34?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7791*f - 193013 = -12294 + 99757 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -8*c. Let q(d) = -248 - 8*d**2 + 751 - 250 - 253. Give o(q(x)).\nAnswer: 64*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 23*t**5 + 50*t**4 + 33*t**3 + 4*t**2 + 2*t - 2. Let z(l) = -l**5 - l**4 + l**2 - l + 1. Let h(q) = -j(q) - 2*z(q). Solve h(o) = 0 for o.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 100 and 7829300?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-20448)\/47712 + ((-4)\/(-14) - 8177\/91)?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (254\/889)\/(2\/35).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 157 - 94. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, y: 3, k: 3, d: 1, f: 2, i: 3}. Give prob of picking 1 u and 2 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 23)*(36*p - 33 + 149*p + 33) - p + 1 - 1.\nAnswer: -3886*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + 4*h - 7*h + 42 = 0, -5*h + 30 = x. Let w(k) = -12*k**3 + 10*k**2 + 22*k - 10. Let a(j) = -j**3 + j**2 + j - 1. Give x*a(u) - w(u).\nAnswer: 2*u**3 - 12*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -93*p - 147. Let u be j(-20). Suppose 12*o = u + 2559. What are the prime factors of o?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 8:38 PM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6388 - 4266. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72 - 72. Suppose 5*l = j + 834, f*l - 158 = -l - 2*j. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -247, -4\/9, 0.5, -0.2?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 2*b. Let l be (3 - 1) + 1 + -1. Let u be ((-3)\/l)\/(6\/(-16)). Let w(n) = -2*n - 3*n + u*n. Calculate w(a(t)).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange z - 5 + 38*z**2 + 2 - 2*z + 5 to y*z + m*z**2 + d and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -3815, -3097, -2379, -1661, -943?\n\"Answer: 718*v - 4533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3 - 6 + 8*d + 0. Let z be k(5). What is the first derivative of -2*l**2 - 37*l + z*l - 3 wrt l?\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48 - 65*t**3 - 48 - 50*t.\nAnswer: -65*t**3 - 50*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -66.18 times -0.5\nAnswer: 33.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-109*r**2 + 76*r**2 + 49*r**2 - 4*r - 1)*(5 - 5 - 16).\nAnswer: -256*r**2 + 64*r + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 + 6*i**2 + 8*i + 8. Calculate the remainder when h(7) is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 93082727?\nAnswer: 93082727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -58 + 53. Let q(w) = -w**3 - 4*w**2 + 4*w - 5. Give q(g).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11031 - ((-40)\/(-35))\/(20\/105) a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 344200 divided by -86050\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -46 by -551.\nAnswer: 46\/551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**4 - 223*m**3 - 14371*m**2 - 199677*m + 734472.\nAnswer: -(m - 3)*(m + 24)*(m + 101)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from bbnnwbonoccx.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -2, 3, 7 in ascending order.\nAnswer: -20, -2, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3\/12 - (-94)\/8. Suppose -4*z + x = -0. Suppose -2 = -4*c + z*c. Calculate the greatest common factor of c and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-6))\/((-6)\/(36\/(-5)))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 26169 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(80))**2 + 3 + 5)*1 + -4 + -4.\nAnswer: -8*sqrt(5) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i = -4*b + 30, -26*i = -b - 24*i + 20 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1\/10 of a microsecond?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 39580 and 3755?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -2*o**4 + 9*o**2. Let z(r) = -3*r**4 - r**3 + 17*r**2. Let h(t) = 5*c(t) - 2*z(t). Find the third derivative of h(q) wrt q.\nAnswer: -96*q + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21\/3 - 2 - (-29 - -35)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*x - 20*x - 473 = 0. Which is the second biggest value? (a) -2 (b) x (c) 1 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 4:59 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1232 and 8.\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -173, -220, -277, -332, -373, -388?\nAnswer: -365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-3)\/3)\/(-2 + 41\/20). Is y\/(-15)*(-246)\/(-4) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7983299.\nAnswer: 7983299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, -2\/2401, 0.16, 0.4?\nAnswer: -2\/2401","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -147627 or -234?\nAnswer: -234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (590 - -1) + (-8)\/(15 + -16) is divided by 98?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(-2)\/h*h**10\/h assuming h is positive.\nAnswer: h**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2)\/(-6) - 844\/30. Let j = k - -28. What is the nearest to 1 in -1\/2, j, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -14 + 16 + (-23 - -12)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -776276 (base 14) to base 12.\nAnswer: -1434154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 129 and 21?\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 4*u + 5, -2*u = 3*i - 3 - 4. Suppose i*l + 66 = 6*l. What is the remainder when l is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17081427 is divided by 5929.\nAnswer: 5907","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 - (-12 - (9 - -3 - 0))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (2 - 3) - (1 - -4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-2)*((-226)\/84 - (-2952)\/3444)?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 2 + 37?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000110010001 + -1001?\nAnswer: -1101000110011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 1020 to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.23 + 28.23. Let x = 28.5 - g. Which is the nearest to -5\/3? (a) x (b) 2\/11 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-3)\/2)\/((-12)\/(-416)). Let o be k\/(-6)*15\/10. Suppose 2*a - 180 = f, 5*a - 7*a - 4*f + 190 = 0. Calculate the highest common factor of a and o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 39*q - 15. Let g be v(5). Suppose 0 = 5*s - 5*w - g, -2*s - 4*w + 101 = s. What is the remainder when 174 is divided by s?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (-1)\/(-1) + -7\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -23. Let q be 10\/p - 12\/(-8). Suppose -5*f + 2241 = -0*f - 4*r, 874 = 2*f + q*r. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.2 - 0.2. Let b = s + 2. Let w = 3.1 - b. What is the nearest to w in -1, -5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5355)\/(-255))\/((3\/(-2))\/(-1)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.53 and -27486.\nAnswer: -27485.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*j = -14*j - 42*j - 9571 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y**3 - 2*y**3 + 4*y**3)*(3*y - 3*y - 2*y) + (49*y - 12*y + 52*y)*(-3 + 2 + 3)*(-y**3 + 0*y**2 + 0*y**2).\nAnswer: -176*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2341020 by -4.\nAnswer: -585255","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1)**2*-4 + -3*(sqrt(425) + (sqrt(425) - 1*sqrt(425))).\nAnswer: -1704 + 25*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 40\/30*(-102)\/816.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24163*z + 3*f + 10 = -24159*z, -5*z + f - 4 = 0 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 - 24. Let d be (1\/5)\/((-1)\/(-95)). Let h = d + m. Solve 0*v = v + h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -4 (b) 16 (c) 2\/157\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -230*q - 2356. Calculate the remainder when i(-26) is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 49*r**2 - 10*r - 6. Let m(w) = 10*w**2 - 2*w - 1. Let a(g) = 11*m(g) - 2*o(g). Let k be a(-2). Let b = 14 + k. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12204\/1017)\/(-4*1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 632143712?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 1 f when three letters picked without replacement from fwqqqqzl?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: ((-1106)\/(-6083))\/((-14)\/(-44))\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -2\/15, -50, 26, -2.8?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 44413246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 17945?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/198 and -61\/66?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -17*m + 185 + 172 - 371 to the form q + j*m and give q.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 9) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2246*b - 508*b - 1313*b + 775*b to the form i*b + p and give i.\nAnswer: -3292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -w**6\/120 - w**5\/15 - w**4\/12 - w**3\/2 - 18*w**2. Determine g(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 404328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 224 = -3*v. Let w = v - 25. Let x = 25 - w. What is the tens digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -109*k**4\/6 + k**3\/2 + 20*k**2 + 93*k. What is the second derivative of p(c) wrt c?\nAnswer: -436","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*u**3 - 7*u**3 + 35*u**3.\nAnswer: -3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:22 PM and 3:01 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 102530 (base 8) to base 3\nAnswer: 1201211022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*l - 8*l - 5*l - 197 - 2*l to c + b*l and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14558*n**3 - 4*n + 7285*n**3 + 7275*n**3 + 4*n.\nAnswer: 2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - n - 5 = 3*q, -2*q = -2*n - 2. Solve 4 = -r - u, 3*r - 13*u + 8*u - q = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p + 0*p + 3*p)*(p**2 + 8*p**2 - 63119 + 63127).\nAnswer: 18*p**3 + 16*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*t + 3*t - 2*t - 3*t - 3 + 3 + (2 + 0 + 0)*(-4*t + 4*t - t))*(1 - 1 - t) as l*t**2 + q*t + y and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3.1 + 3. Let g = 0.4 - -4.6. Sort y, -2\/3, g in descending order.\nAnswer: g, y, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9818*z**3 - 2699*z**3 - 29*z - 15*z + 9*z - 180 + 182 wrt z?\nAnswer: 42714*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k when two letters picked without replacement from {i: 3, k: 5, t: 1}.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -108 divided by 1.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j**2 + 2*j - 4)*(0*j + 0*j + 2*j**3).\nAnswer: -6*j**5 - 8*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a - 116 = -346. Let l = -27 + a. What are the prime factors of l?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 308 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 20\/611877 and 145\/2797152.\nAnswer: 19580064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 v when two letters picked without replacement from {h: 1, v: 1, b: 1, g: 1, w: 3}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 730157?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - 4*h, -3*h = -3*p + h + 24. Differentiate v + 4*v + 4 - 11*v + p*v with respect to v.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w - 16. Determine c(6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32)*-4 - (sqrt(128) + -1) - ((sqrt(48)\/sqrt(3) + sqrt(4))\/sqrt(2) + 5))**2.\nAnswer: 216*sqrt(2) + 1474","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 46 and 322?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 5 + 3*n**3 - 4*n**3 + n + n - 3*n**2 + 7*n**2. Suppose 0 = -4*i - 2*t + 20, 3*i - 18 + 0 = -3*t. What is the units digit of u(i)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.067856 to two decimal places.\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -91 + 50. Let n = -40.958 - f. Let h = n + -0.0419959. Round h to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -480874.79 to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10265195 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 41698904 divided by 9529?\nAnswer: 4376","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, 181, -5\/4, 4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -158*z = -90*z - 408 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1648.3912 rounded to the nearest 100?\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 - ((12 - -1) + 969 + -996)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 79 - 115. Let s = -38 - l. Let v be -1 - s - (11 + -13). Solve 2*b = 5*b + v for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10 + 1102112221121?\nAnswer: 1102112221111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 641622 is divided by 489?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -82.34474 take away 5.428?\nAnswer: -87.77274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1772?\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*a - 1. Let z be (-3 - -4)\/((-2)\/4). Put a, z, 5 in decreasing order.\nAnswer: 5, a, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + -2.82?\nAnswer: -10.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(165)\/sqrt(3) + sqrt(55) + sqrt(55))\/sqrt(11) - (sqrt(245) + 4) - ((sqrt(245) - (-2 + sqrt(245))) + -1 - sqrt(245)*1*4)) + 2)**2.\nAnswer: -144*sqrt(5) + 2889","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6825 - 5369. Is 16 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -39*i. Let z(c) = 32*c - 1. Let s(x) = 4*m(x) + 5*z(x). Suppose -3*v = -9 + 3. Let f be s(v). Solve -b - 4*l = 1, 0*b + 5*l - f = 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p = h + 20, -5*p = 4*h + 10 + 20. Sort 2\/13, h, -5, 5, 2 in increasing order.\nAnswer: h, -5, 2\/13, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 91\/9820 and 91\/662?\nAnswer: 3250420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 156912 a multiple of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1037 and 299183.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = 36*g - 100. Let q(i) = 2*i**2 - 8*i - 6. Determine q(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1335 = 12*b - 13*b. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) + -1)**2 + (sqrt(17) - (sqrt(17) - ((0 + sqrt(17) - sqrt(17))*3)**2)) - (3 + sqrt(17) + (-1*sqrt(170))\/sqrt(10)).\nAnswer: -10*sqrt(17) + 423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2613, 5229, 7845, 10461?\n\"Answer: 2616*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 5*x**2 - 30595*x + 91740 = 0.\nAnswer: 3, 6116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 19225, 4, 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11\/(-21) + 60\/70\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 10*g = 7*g + 20, 2*q + 5*g = 8. Suppose -l = q, -5*l + 952 = -0*j + 2*j. What is the tens digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c + 20 = -5*n, -5*c = -n - 739 + 747 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 251 + -404?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (0 + sqrt(176)))*-2)**2.\nAnswer: 396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -150 and -9?\nAnswer: 141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m - 5. What is t(-4)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 161505, 646021, 1453545, 2584077, 4037617?\n\"Answer: 161504*o**2 + 4*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (2 - 82\/(-5))\/((-18)\/(-90)). Suppose -11*f + 257 = o. Solve 8*g - 13*g + f = 0 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1089038686920 - -3.\nAnswer: -1089038686917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112310001220 + 1?\nAnswer: -112310001214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-3)*(4 + -1). Let m be (1 + 2)*l\/3. Let j(x) = -x - 1. Let s(g) = g**2 - 2*g - 2. Calculate m*j(y) + s(y).\nAnswer: y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 295106?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/2 - -2)*5\/(-55). Let p = -32141\/42 + 5120\/7. Let h = p - -69\/2. Which is the closest to h? (a) 1\/6 (b) l (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102021977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1057?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 - -1. Let k = -10 - d. List the prime factors of 1 + (-2 - k) + 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k**3 + 25*k**3 - 39*k**3.\nAnswer: 73*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 3 - (-1 + 2)\/(7\/(-49)). Solve 25 = n*h - 15*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82662.56 milligrams to nanograms.\nAnswer: 82662560000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 373 divided by -3\nAnswer: -373\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 10:24 PM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 3, j: 4, r: 2}. What is prob of picking 2 c?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*c**3 + 2*c**3 + 10*c**3 + (-3 + 3 + 2*c)*(-c**2 - 4*c + 4*c) - c**3 - 3*c**3 + 3*c**3.\nAnswer: 14*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 - 31 = -3*f. What are the prime factors of f?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**2 + 7*z + 2. Let v be o(5). Suppose 4*b + v = 160. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 PM and 3:27 AM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1409*c**2 - 1550*c + 1514182?\nAnswer: -2818*c - 1550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/65 (b) -0.3 (c) 4\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(300) + -2)**2 + sqrt(300) + -1 + sqrt(48))*-4.\nAnswer: -1212 + 104*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) -129197\/11 (c) -41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(225) + sqrt(225)*-3*-3 + sqrt(225))\/(sqrt(405)*-2*6).\nAnswer: -11*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -93*l - 3. Let b be z(1). Let v = 14 - b. Does 26 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -110*f**2 + 5. Let j(w) = -3*w**2. Calculate l(j(a)).\nAnswer: -990*a**4 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1410046 and 599?\nAnswer: 599","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2 + 1)*(6*b**4 - 2*b**4 - 3*b**4) + 94*b + 32*b**4 - 94*b + 2*b**2 - 2*b**2 + b**4.\nAnswer: 30*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4? (a) 0.2 (b) 3 (c) -2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: ((-11010)\/9542)\/(12\/364)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -122612 = -10840*j - 6638 + 89986 for j.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 850 + -676. Calculate the highest common divisor of v and 232.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 1\/34089928 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**3 - 19*r**2 - 19*r. Let s be 5 - (-2)\/(10\/75). What is the remainder when z(s) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 15 = -4*y - 69, 4*y - 16 = -n. Calculate the remainder when ((-366)\/(-15))\/(8\/n) is divided by 13.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of -p**4\/4 - 139*p**2\/2 - 5724*p + 6604. Differentiate x(k) with respect to k.\nAnswer: -3*k**2 - 139","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 2*y + 2. Let c(p) = -9*p**3 - 9*p - 10. Give -c(v) - 5*x(v).\nAnswer: 9*v**3 - v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -20 + -1?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 29, 480, 1237, 2300, 3669, 5344?\n\"Answer: 153*c**2 - 8*c - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -249317940 divided by 3\nAnswer: -83105980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7623.247s to microseconds.\nAnswer: 7623247000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 9*d + 44. Let l(f) = 2*f + 11. Let o(y) = -9*l(y) + 2*w(y). Find the first derivative of o(m) wrt m.\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -935 by 6.\nAnswer: -935\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -2*m + 82. Let c be t(20). Calculate the highest common divisor of 14 and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + 1.124?\nAnswer: 1.524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 1358*t + 352488. What is v(-258)?\nAnswer: 2124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37 + 39 + 183*l**2 - 369*l**2 - 9 + 183*l**2.\nAnswer: -3*l**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes after 11:58 PM?\nAnswer: 1:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -69 divided by -69\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 61022668 to the power of 1\/2, to the nearest integer?\nAnswer: 7812","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) be the second derivative of 23*v**6\/10 - v**5\/4 - v**4\/6 + 470*v**3\/3 + 123*v + 2. What is the third derivative of g(b) wrt b?\nAnswer: 1656*b - 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 214932891 to the power of 1\/2, to the nearest integer?\nAnswer: 14661","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8256 + h**2 + 2*h**3 + 8256 - h**2.\nAnswer: 2*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/(-3))\/(1\/(-12)). Let f(o) = o**3 + 9*o**2 + 6*o - 9. What is the units digit of f(t)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 4*p - 17. Let l be i(7). Solve -l*g + 5 = -3 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**5\/3 - 5*r**4 + 25*r**3\/3 + 5*r**2 - 26*r\/3 = 0.\nAnswer: -1, 0, 1, 2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 118332 = -4064. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + 0.7. Let y = o - -3. Which is the closest to 0? (a) 2 (b) y (c) 5\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/8)\/y**(1\/2))\/(y**(-3\/4)*y\/(y**7\/y*y)) assuming y is positive.\nAnswer: y**(49\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 5, -3, -5, 12\/7, 0.21?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/26? (a) -2\/7 (b) -0.06 (c) 506.6 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 26013?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*b + 2*m - 406, -3 = 3*m. Suppose b + 50 = -3*c. Let l = c + 151. Does 11 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**(4\/3)\/((h*(h\/(h\/h**(-25)))\/h)\/h) assuming h is positive.\nAnswer: h**(82\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 285986193 to the power of 1\/5, to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/36 of a day in seconds?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -26*s**2 - 4*s - 14. Let g(k) = -103*k**2 - 17*k - 55. Let y(t) = -26*d(t) + 6*g(t). What is the second derivative of y(m) wrt m?\nAnswer: 116","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -117, -114, -103, -78, -33?\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h - 4*w = -8, 0 = 1459*h - 1457*h - w - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1828 is divided by 1535.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 5*f - 6 = 0. Suppose 0 = -3*u - k + 256, f*k - 34 = -u + 58. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 888*m**2*w**2 - 17*m*w**2 - 27*m*w - 634*w**2 + 182*w - 4 wrt m.\nAnswer: 1776*m*w**2 - 17*w**2 - 27*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 48 + -47.5. What is the third smallest value in l, 2\/49, -0.1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 1 l when three letters picked without replacement from {k: 1, q: 4, l: 2, x: 9, i: 1}?\nAnswer: 9\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 5 - 1)*(-10 + 3 - 6)*(-2*p**2 + 5*p**2 - 2*p**2).\nAnswer: -26*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1649837, -1649841, -1649845, -1649849?\n\"Answer: -4*m - 1649833","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 478864.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -4*b + 3, 5*b + 0*t + 3 = t. Suppose -5*j - 3*x - x + 821 = b, -2*x = -5*j + 827. What is the remainder when j is divided by 42?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 3 = 0, -2*h - 2*h + 2*o + 278 = 0. Suppose 0 = -47*s + 1575 - h. Solve 5*v + 5*m + 40 = 0, -2*m - s = 3*v + 3*m for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 197*s + 92*s - 34539 - 3609 for s.\nAnswer: 132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + 1*(sqrt(252) - (-1*(1 + sqrt(252))**2 - sqrt(252))) + 0 + sqrt(252) + -1 + sqrt(252)*4)*-6.\nAnswer: -1500 - 324*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2535*d*j**2 + 12*d*j + 3524*d - 10433*j**2 - 60*j + 2 wrt j?\nAnswer: 5070*d - 20866","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-15))\/((-3)\/((-3)\/(-2)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/166 and 97\/24.\nAnswer: 1992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -47, -121\/3, -23\/4, 15 in increasing order.\nAnswer: -47, -121\/3, -23\/4, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b - 7. Let n(u) = 1938*u + 11 - 646*u - 646*u - 647*u. Suppose 31 = 20*j - 129. What is j*c(m) + 5*n(m)?\nAnswer: 3*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 24 = -6*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = -4*k - 5787 + 5803, 32 = 4*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.036 - -9267.\nAnswer: 9266.964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1002 (base 3) in base 11?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are 2892533 and -73 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 16 + (2 - 14) - (-3 + 0)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*s**2 - 10*s - 11029 + 11071 + 90*s to c*s**2 + u*s + b and give u.\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*y**3 - 16*y**2 + 28*y**2 - 8 + 2*y - y**4 - 12*y**2 - 10*y**2 + 0*y**4 as j*y**2 + i + z*y + m*y**3 + l*y**4 and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9\/18)\/(14\/8)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 14 = 4*p + 2*w, 0 = 5*p - w - 23 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 - 14 = -3*a + 3*y, 0 = -a + 3*y - 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of 1\/90*x**6 + 0 + 1\/45*x**5 + 0*x**3 + 0*x - 7*x**2 + 0*x**4. Solve q(t) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 475*f + 2373. Let c be o(-5). Let q be ((-4)\/25)\/((-2)\/(-5)). What is the nearest to c in -3, -2\/11, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {k: 2, b: 7}.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and 3.6.\nAnswer: -7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.97 minus -3.787?\nAnswer: 8.757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 = 13*i + 124 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193 a factor of 1663042?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 316 a factor of 4238508?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p - 3. Let q(n) = -15*n + 4. Calculate 2*q(c) + 4*y(c).\nAnswer: -26*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 3*o + 14 = 0. Let f(j) = 1481*j**2 + 9*j - 7. Is f(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + u - 3*u + 4*u)*(1139 - 158*u - 1139) as v*u + r + l*u**2 and give l.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w - 2. Suppose 0 = -5*d - 2*n + 5*n + 30, 4*d - 3*n = 27. Suppose 18 = -d*g - 3*x, 2*g - 2 = -0*g + 5*x. Determine u(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4246 - 4245. Put a, -40, 3 in ascending order.\nAnswer: -40, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i - 43 + 43)*(-4 + 1 + 1) - 1287*i + 646*i + 646*i.\nAnswer: 11*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 75901.35 years?\nAnswer: 7590.135","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 6:34 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -104?\nAnswer: 1\/104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from reejeerreeeer. Give prob of picking 1 e and 1 j.\nAnswer: 4\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(468) + 4)**2 - -1*sqrt(13)*1 - (-2*sqrt(832)*3)**2.\nAnswer: -29468 + 49*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/13 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - (-5 - -3 - 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4.9 (b) -3816.1 (c) 1 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -28124 by 158.\nAnswer: -178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 - (-18 - -32) - 20?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47, 36, 25?\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.8 + -0.2. Let s = 4 + -4. Is n greater than or equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 24 - -17125226?\nAnswer: 17125252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**2\/7 - 3936340*z\/7 - 161383216\/7.\nAnswer: -4*(z + 41)*(z + 984044)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/411?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -40371, -322941, -1089899, -2583435, -5045739, -8719001, -13845411?\nAnswer: -20667159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 130*f**2 + 73988*f - 16334700 wrt f?\nAnswer: 260*f + 73988","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 + 6*k - 8*k - 2*k - 8*k as l + h*k and give h.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30\/(-9)*6\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is n in 3177*n - 372 + 36 - 3085*n - 2*n**2 = 0?\nAnswer: 4, 42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 5*p**2 + 3. Let c(r) = 9*r**2 - 3*r + 4. Let j(q) = 10*q**2 - 4*q + 4. Let g(v) = 4*c(v) - 3*j(v). Let l(u) = 5*d(u) - 4*g(u). Factor l(s).\nAnswer: (s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 * -0.019\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.13 and -14.87?\nAnswer: -1.9331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -1. What is the second derivative of -5*z - a*z - z - 16*z**5 wrt z?\nAnswer: -320*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) be the first derivative of -a**3 - 197*a**2\/2 + 384*a + 377. What is the first derivative of q(i) wrt i?\nAnswer: -6*i - 197","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2764 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: Solve 0*i + 3*u = 2*i + 7, -3*i = -5*u + 11 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v**6 + v**4 - v. Let x(f) = -3*f**6 - 2*f**4 - 239*f**3 - 240*f**2 + 2*f. Let u(b) = 2*w(b) + x(b). What is the third derivative of u(a) wrt a?\nAnswer: 120*a**3 - 1434","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/392 and -97\/780374.\nAnswer: 3121496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -598.041 + 541.0403. Let f = -6.5 + -50.5. Let k = f - x. Round k to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**3 + 3*n**2 + 2*n + 4. Let p be x(-2). Let v be (154\/(-4))\/(4\/8). Let u = v - p. Is 1\/21 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -v**2. Let p(n) = 3*n**3 + 10*n**2 + 5. Let j(z) = -6*h(z) - p(z). Let l be (-1*4)\/(-7 + 6). Let g(i) = i**3 + i**2 + 1. Determine l*g(m) + j(m).\nAnswer: m**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 1 + 3 = 4*l, -s - 14 = -5*l. Put s, -70, -3 in ascending order.\nAnswer: -70, s, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 26 - 24. What is the biggest value in r, 1\/7, 2\/23?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1\/204 + 823\/1428. Put -11, 0.1, v in ascending order.\nAnswer: -11, 0.1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -31033231113 + 0?\nAnswer: -31033231113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4457, 4482, 4533, 4616, 4737, 4902, 5117?\nAnswer: 5388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the second derivative of 33\/140*w**5 - 3\/70*w**6 - 11\/14*w**3 + 0 + 9\/7*w**2 - 3\/28*w**4 + 19*w. What is s in q(s) = 0?\nAnswer: -1, 2\/3, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**3\/9 - 292*g**2\/3 - 13806*g - 3870872\/9 = 0. What is g?\nAnswer: -59, 556","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -7\/6? (a) -5 (b) -3\/2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-384)\/6144*(-16)\/(-78)\nAnswer: -1\/78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 269847005?\nAnswer: 5, 557, 96893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633131?\nAnswer: 17, 37243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -7 + 3 - 1*(1505 + -3). Let q = -1038 - j. List the prime factors of q.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + 0.1. Let o = -0.1 + p. Let m = -545.6 + 541.6. What is the closest to o in 3, 3\/2, m?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of j**4\/12 - 7*j**3\/6 - 2*j**2. Let y be n(5). Suppose p + y*h - 5*h - 7 = 0, p + 5*h + 7 = 0. Is 2 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 794 + 18*q - 39*q + 13*q + 6*q.\nAnswer: -2*q + 794","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7765, -62079, -209503, -496591, -969897?\nAnswer: -1675975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -2*f + 16. Let j(n) = 5*n - 49. Let a be (5 + 31*5\/(-15))*3\/2. Give a*q(z) - 3*j(z).\nAnswer: z + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7.8682595 + -7.865. What is w rounded to four dps?\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4 - -3. Suppose -2*x = -3*t + 1, 3*x - 1 = 2*x + 3*t. Let p(c) = c**3 + 4*c**2. Let v be p(-4). Put v, x, w in descending order.\nAnswer: v, w, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 6) to base 4.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -100660*s**4 - 10*s**2 + 902731*s wrt s.\nAnswer: -1207920*s**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -a2eb (base 16) to base 6\nAnswer: -521031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 3 + (1 - (-2 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 j when three letters picked without replacement from vjjvjvvjvvvjvvjj.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 8*681\/18 + (-24)\/(-18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -186, -369, -530, -663, -762, -821, -834, -795?\n\"Answer: n**3 + 5*n**2 - 205*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y = -0 + 4, 2*z - 5*y = 26 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2)\/(-3))\/((-16)\/(-216)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.033 (b) -2 (c) 1\/6 (d) -0.06 (e) 4 (f) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 6:41 PM?\nAnswer: 1:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3181.1755941 and 1.7?\nAnswer: 3179.4755941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*f**5\/5 - 12507*f**4\/5 + 14208423*f**3\/5 - 2379944109*f**2\/5 - 14679002826*f\/5 - 19724361624\/5 = 0. What is f?\nAnswer: -4, -2, 209, 1983","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 3, w: 2, n: 2, h: 2}. Give prob of sequence hwi.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y**2\/4 - 15*y\/4 + 9\/2 = 0.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w**3 - 23*w**2 - 5*w + 9. Let f be k(8). Solve 0 = f*t - 38*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 - 2 - ((333 - 161) + -148)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 888*r**2 + 3888*r**4 - 1410*r**2 - 3 - 1143*r**2 + 3 wrt r?\nAnswer: 93312*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2120 (base 4) to base 12.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 56 - 104.4. Let n = q - -55.65. What is n rounded to 1 dp?\nAnswer: 7.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-150)\/(-15) - (-1 - -8). Factor 250\/17 + 2\/17*t**f + 30\/17*t**2 + 150\/17*t.\nAnswer: 2*(t + 5)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**2 - 10*p + 11. Suppose 35 = -3*i + 2. Let c be n(i). Solve -4 = -4*u - c for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*l + 9, 2 = 2*x + 4*l - 4. Suppose 2*f + x*y = 2*y + 20, 0 = 4*f + 5*y - 46. Let s(o) = o**2 - 7*o - 12. Give s(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-9)*5*21*(-15)\/105\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 56 + 799 = 0. Suppose 51*u - t*u = -90. Suppose -5*f - u = -v, -5*f - 28 = -4*v + 17. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, y: 13, e: 2}. What is prob of picking 2 j and 2 y?\nAnswer: 13\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -5374, -21490, -48350, -85954, -134302, -193394?\n\"Answer: -5372*r**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00018619144 rounded to 6 decimal places?\nAnswer: -0.000186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (((-45)\/810)\/((-2)\/(-12)))\/(2\/(-8)). Sort 2, 5, 3, v, 178\/3 in decreasing order.\nAnswer: 178\/3, 5, 3, 2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 s when two letters picked without replacement from {z: 4, s: 2}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6949, -6949, -6941, -6919, -6877, -6809?\nAnswer: -6709","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -108 + 77. Let u(a) = -2*a**3 + 2*a - 4. Let y be u(3). Let r = i - y. Round r to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 139 is divided by 32?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64832 divided by -3.\nAnswer: -64832\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 152331272.\nAnswer: 2, 31, 421, 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**4\/3 + u**3 - 5*u**2. What is the remainder when n(6) is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - 12*t**2 - 16*t + 31. Calculate a(13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -335\/8 - -385\/8. Factor -5\/2*i - o - 1\/4*i**2.\nAnswer: -(i + 5)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = 2*g + i, i + 435 - 438 = 0. Calculate the greatest common factor of g and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:24 AM and 1:36 PM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -23013 greater than -23013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*(z\/(z\/(z**(-11\/5)\/z)))\/z*z*z)\/(z*z*z**(-16))*z\/(z**(-15)\/z)*((z*z\/(z\/(z*z\/((z\/(z\/z**(-2)))\/z)*z))*z)\/z)\/z assuming z is positive.\nAnswer: z**(179\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 8*b**3 + 6*b**2 - 7*b - 11. Let k(j) = 7*j**3 + 5*j**2 - 6*j - 10. Calculate 6*k(h) - 5*x(h).\nAnswer: 2*h**3 - h - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6462 and 17232.\nAnswer: 51696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) be the first derivative of k**6\/72 - 7*k**5\/12 + 245*k**4\/24 - 22*k**3\/3 - 8. Let i(b) be the third derivative of s(b). Factor i(p).\nAnswer: 5*(p - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 813, -266 in ascending order.\nAnswer: -266, -5, 813","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 740306 (base 10) to base 8.\nAnswer: 2645722","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 34835522?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -4*t + 6. Let g be d(2). Let b = g + 8. Solve -20 = -b*s + s, 5*h + s + 16 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -9*q + 10*q + 36 + 2. Let v = -13 + 69. Calculate the remainder when v is divided by z(-23).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 AM and 7:28 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 133828 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -65495, -130824, -196151, -261476?\n\"Answer: h**2 - 65332*h - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*f + 2556097 + 2556096 + 2556095 - 10224385 + 34*f + 2556097.\nAnswer: 25*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -46, -3\/2, -25, -3, -2\/21?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -2*s**2 - 3*s - 5*s + 3 + 5*s**2 + 6*s. Let i(a) = a**2 - a + 1. Determine -4*i(t) + 2*r(t).\nAnswer: 2*t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8604 - -8603.96. Let w = 11 + -16. What is the closest to 2\/7 in 2, d, w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*l - 27*l**2 - 7*l - 2*l**4 - 2*l**4 + 3*l**4 + 3*l + 12*l**3 + 36.\nAnswer: -(l - 9)*(l - 2)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (33 + -2 + 8)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 7:48 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4188587?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -91*a + 1282. Let i be f(14). Solve -3*j + 0*j - i = -2*q, 0 = -4*j + 4*q - 12 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 - -1.2. Let h = 1.8 + c. Which is greater: h or -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*a**3*x**3 - a**3*x + a**3 - 48*a**2*x**3 + 1932*a*x**3 - 2*a*x + 14737*x**2 wrt x.\nAnswer: -12*a**3 - 288*a**2 + 11592*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7, l: 2, m: 2}. What is prob of sequence ttlm?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-5 - -5) - (-14 + 21 - 21)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 9151210*q + 54907256\/3.\nAnswer: (q + 2)*(q + 27453628)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (58 - 31 - 29 + 3*h)*(5 - 5 - 13) - 7*h + 9*h - 7*h in the form m*h + y and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven eighths of a century?\nAnswer: 1050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 1)\/((-6)\/(-42)*7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/4*1\/(-3). Let s = 6 + -5. Let c be ((-28)\/(-8) - 3)\/2. What is the closest to s in v, 1, c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*b - 3 = -11*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1845.9 + -1846. What is the third biggest value in t, 3035, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111001001 + -11000011100110010011?\nAnswer: -11000011011111001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(-25))**(8\/3))**(-34))**(-4\/11) assuming r is positive.\nAnswer: r**(-27200\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**4 + 135108*z**3 + 1521180972*z**2.\nAnswer: 3*z**2*(z + 22518)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-104)*9 + (-498)\/2158.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 50736 and 54360.\nAnswer: 761040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-6))\/((-2)\/2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 4*a**2 + 175*a + 13. Let q be f(-45). Calculate the highest common factor of 68 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2*y**2 - 5*y - 5. Let d = 711 + -717. Let m(s) = -2*s**2 - 4*s - 5. Determine d*m(a) + 5*l(a).\nAnswer: 2*a**2 - a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -11 + 7. What is the smallest common multiple of 18 and g + -1*(2 + 0)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 take away 26.5577?\nAnswer: -29.5577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -105\/22 and 2\/(-1)*(970\/(-72))\/(-5)?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18507676 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 3*s**2 - 22*s - 11*s**2 - 4 + 27*s**2. Let f(p) = -112*p**2 + 131*p + 23. Let r(j) = -6*f(j) - 34*w(j). What is the second derivative of r(g) wrt g?\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.44306 + -0.00486. Let w = b + 29.0318. Let a = -30 + w. What is a rounded to 1 dp?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 5 - 4*x**2 + 3*x**2 - 1. Let h = 1 + -1. Let i be m(h). Solve 5*t = w + w - 7, 16 = -i*w for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 26165, 0.75, -2?\nAnswer: 26165","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + 41 + -16 - (-2 + -7).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -392*r**4 + 109592*r**3 - 7636178*r**2 - 3287760*r - 352800.\nAnswer: -2*(r - 140)**2*(14*r + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 96? (a) -2\/3 (b) 9 (c) 10.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -1 - 3*s + 4*s - 1. Suppose -17*y + 15*y + 8 = 0. Suppose y*o = 3*d + 28, 2*o = -3*d - 4 - 0. Give p(d).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -415, -1661, -3737, -6643, -10379, -14945?\n\"Answer: -415*y**2 - y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*s + 361 = 137. Calculate the highest common factor of 1372 and s.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -314204223 (base 5) to base 2\nAnswer: -101000010000110010001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -2*u**2 + 15*u - 17. Let r(o) = -o**2 + 7*o - 8. What is 6*c(g) - 13*r(g)?\nAnswer: g**2 - g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -58 divided by -29484?\nAnswer: 29\/14742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22669 or 22670?\nAnswer: 22669","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1 + -90a1?\nAnswer: -90a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-34 - 17*m - 13*m + 29*m)*(-1 - 4 + 0).\nAnswer: 5*m + 170","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:32 PM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 3851934 and 1.\nAnswer: 3851934","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -202 (c) 3 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -3*d - 0*d + 8, 0 = 5*n - 2*d - 12. What is the remainder when 4 is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/23 + 40\/69. Which is the third smallest value? (a) 0.3 (b) j (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**7\/2520 - g**6\/360 - 11*g**5\/120 + g**4\/24 - 3*g**2. Let q(m) be the second derivative of z(m). Is q(8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -4062, -8117, -12168, -16215, -20258, -24297, -28332?\n\"Answer: 2*d**2 - 4061*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -589 - -595. Suppose -4*d**4 + 40*d**3 - 144*d**2 + 163*d - 134 - 5*d + w + 66*d = 0. Calculate d.\nAnswer: 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3.45 - -3.37. Let q = n + 0.38. What is the second biggest value in 1\/9, q, -1, -0.4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15711 - -15680. Let o be (-1)\/(-1) + 1 + -35. Which is greater: o or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -4*f**4 + 17140*f**3 - 679348*f**2 + 627948*f + 1324440 = 0.\nAnswer: -1, 2, 39, 4245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*13.\nAnswer: -1.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2827986 and 441?\nAnswer: 8483958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*r**3 - 3*r**3 + 2*r**3)*(-13*r**2 - 677*r**2 + 187*r - 95*r - 92*r).\nAnswer: 690*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/2*49\/(-98))\/(-3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = c - 7, 2*c + 5 - 9 = 2*s. Let o(k) = -k - 3 + 60*k**c - 79*k**3 + 2*k**2 - 2. Is o(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 7*h + 2*v + 334, -3*h + 3*v = -243. Suppose -2*q - 42 = -0*q. What is the tens digit of 7\/q + (1 - h\/(-6))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 7) to base 4.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -5 - 2 - (-6)\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 9 = -7. Sort -3, l, -4, -2 in descending order.\nAnswer: l, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 8*m**2 - 10*m - 20. Let t be q(-6). Let g = 50 + t. Find the second derivative of -13*w + 4*w - g*w + 3*w + 13*w**3 wrt w.\nAnswer: 78*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*s**3 + 57*s**3 + 0 + 0.\nAnswer: -6*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i*i*i**(1\/3)*i)*i))\/i**(-1\/5) assuming i is positive.\nAnswer: i**(38\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -451 - -449. Let w(l) = 2*l + 9. Let a(t) = t + 6. Let p(s) = c*w(s) + 3*a(s). Let n(y) = 3*y. What is -2*n(z) - 7*p(z)?\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 + 3 + (-12)\/(-3). Find the second derivative of q*v**3 - 18*v**2 + 0*v**3 - 46*v + 8*v**2 wrt v.\nAnswer: 18*v - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 3*z = -155, 5*t + 0*t - 150 = -5*z. What is the highest common factor of t and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.2 - -23.14. Let s = -19 + y. Is s at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -15*u - 6. Let i(h) = 2*h + 1. Let z(y) = b(y) + 6*i(y). Let n(d) = 4006*d. Give z(n(l)).\nAnswer: -12018*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h + 2*h + 6*h - 13*h. Let c(t) = 5*t - 1. What is -2*c(u) + 4*g(u)?\nAnswer: -2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 8*j - 12. Calculate g(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (-204)\/(-15) - ((-1836)\/(-85) - 22)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 1\/6 of a day?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -v**2 - 3*v + 3. Let w be d(-3). Solve 0 = -2*t - 3*c + 6, -w*t + 9 = -2*c - 2*c for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 85\/4 of a litre in millilitres?\nAnswer: 21250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 75 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/(b\/((b**1*b)\/b*b))))\/(b\/(b**(-2)*b*b)))\/((b\/(b\/(b**0*b)))\/b)**(-2\/33) assuming b is positive.\nAnswer: 1\/b","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9232 - 4*y**2 - 9232.\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {z: 2, r: 7}.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert e8eb3 (base 15) to base 6.\nAnswer: 23501340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 5*x**4\/3 + 110*x**3\/3 - 80*x**2 = 0.\nAnswer: -24, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 685 divided by 5\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1038424757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and 12850.71143?\nAnswer: 12848.71143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 66041735 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 4*u**3 - 5*u**2 + 22*u - 23. Calculate d(4).\nAnswer: 241","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**4 + 2*j - 6 - 2*j**3 - 3 + 9 - 2 as g*j + d*j**3 + q + u*j**2 + i*j**4 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 + (2 - 5). Let x be 2\/6 - 5\/t. Let v = 24 - x. Calculate the highest common factor of 2 and v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 6.243383 from 0.29.\nAnswer: -5.953383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9315*o = 468878 - 40388 for o.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) be the first derivative of p**3\/7 - 54*p**2\/7 + 135*p - 2128. Factor r(n).\nAnswer: 3*(n - 21)*(n - 15)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139543004 a multiple of 2618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - 52 = -5*w. List the prime factors of w.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/14 - (-72)\/(-28)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30474 = -4*u + 2*v, 5 = -4*v - v. Suppose 3044 = 2*k - 2*m, -5*k - 2*m = m - u. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-42)\/(-9)*(-4)\/14. Let z = 40.6 + -35.6. Let j = 3.8 - 8.8. Which is the smallest value? (a) q (b) z (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 4*z**2 - 13. What is the smallest common multiple of 2 and l(5)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*z - 3*l + 2*l + 20804, -5*z - 2*l + 26008 = 0. What are the prime factors of z?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54570?\nAnswer: 2, 3, 5, 17, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and -106056.\nAnswer: 53028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/9, -0.04, 6\/11, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**3 - 60*t**2 - 3*t + 202. What is the lowest common multiple of 2208 and y(60)?\nAnswer: 24288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010494 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*(g*g**(-5))\/g*g)\/g)\/g*g**21*(g\/((g**(-2\/5)*g)\/g))\/g*g\/(g**(1\/5)*g))**19 assuming g is positive.\nAnswer: g**(1539\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 2*o**2 + 6*o - 8. Let d be i(5). Let l = -21 - d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -320 - -320. Suppose k = -4*o - 6 - 2. Let g(d) = -4*d**2 - 4*d - 2. Determine g(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12372, 24742, 37112, 49482, 61852?\nAnswer: 74222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -120 + 152. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -619*w + 168. Let g be i(-2). Calculate the highest common divisor of 148 and g.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the third derivative of 13*i**6\/60 - 421*i**5\/60 + 1337*i**2. Find the third derivative of u(s) wrt s.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/12, 11, -0.2, 4, 0, 2, 1\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, e: 2, v: 4, m: 2, s: 7, b: 2}. What is prob of picking 1 v and 1 m?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-3 - -48)) + 6 + 34 + -33 + 11\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 64709 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from cnnnpcnnccnnnncncnc.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*z**4 + 310*z**3 - 3200*z**2 - 7680*z.\nAnswer: -5*z*(z - 48)*(z - 16)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a millennium in centuries?\nAnswer: 85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of -h**5\/600 + 3*h**4\/80 + h**3\/6 - 126*h**2. Find u such that f(u) = 0.\nAnswer: -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -45 or -62629\/1376?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m + a - 10 = 0, 4*a + 54 = 3*m + 19 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 17 = 9*n, 323*p - 318*p = 5*n + 5 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 23832, 48230, 72642, 97074, 121532?\nAnswer: 146022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -7 - 667\/174)*6\/(-10)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*m**2 + 1 - 5*m**2 + 3*m**2)*(m**2 + 5*m**2 - 5*m**2)*(5 - 2 + 2) as k + o*m + c*m**4 + y*m**3 + p*m**2 and give c.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, 1\/4, 0, 2, 74, 0.78 in decreasing order.\nAnswer: 74, 2, 3\/2, 0.78, 1\/4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 88*d = 10*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-5))\/((-8)\/(-1800)). Let h = -88 + j. Find the third derivative of -10*d**h - 9*d**2 - 58*d**4 + 45*d**4 wrt d.\nAnswer: -312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 920?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -2*m + 26, -4*m = f - 49 + 12. Suppose 2*c + 16 = 4*w, 3*w + 2 = 2*c - 4*c. Let t = w - -2. What is the remainder when m is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/312724 and -35\/9?\nAnswer: 2814516","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 9:15 AM?\nAnswer: 2:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 11369000 to the nearest 1000000.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express -4496*n - 1868*n - 12988*n in the form v + z*n and give z.\nAnswer: -19352","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35948927?\nAnswer: 7, 1489, 3449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 4*y**2 - 11. Let a(n) be the second derivative of -1\/6*n**4 + 0*n**3 + 0 + 3*n**2 + 7*n. Determine 11*a(f) + 6*p(f).\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 45332704 to the nearest integer?\nAnswer: 6733","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8979.\nAnswer: 3, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 268 and 48?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 5*t - 12002*t**3 + 12001*t**3 + 9 + 8*t**2)*(-10*t + 9*t + 2*t).\nAnswer: -t**4 + 8*t**3 + 5*t**2 + 9*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 951 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/56*-2 + (-4)\/(-14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 3*u = -8*f + 131929, -2*f + 52765 = -u. Is 116 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 19203?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t + 2. Let f(h) = 2. Calculate 2*f(j) - 3*n(j).\nAnswer: -3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 18064*-0.4\nAnswer: -7225.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20992 - 188027\/9. Let i = 100 - w. Which is the closest to 3? (a) i (b) -1\/5 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -5*s + 1. What are the prime factors of l(-2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l - 1. Let t(q) = 2*q + 2. Let b(y) = -10*d(y) - 6*t(y). Let v(x) = 4*x + 5. Let g(i) = 5*b(i) + 2*v(i). Let j(h) = -h**2. Determine j(g(p)).\nAnswer: -4*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/2 in 0.2, 5\/54, -2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 7:41 PM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -2*d**2 - 3*d + 3. Calculate b(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 40 + 23 + 66 + -91.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -86*k - 1112. Let o be d(-13). What is the highest common factor of o and 1194?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10278?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5\/((-20)\/16) + (1330\/(-55))\/(-7).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13919 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.6174 to 2 dps.\nAnswer: -0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 20 = 2*i, -29 = 4*i - 4*n - 5. Let c be (-2)\/9 + (-330)\/(-27). Let j(s) = s**2 + 14*s + 35. Let b be j(-10). Sort i, b, c.\nAnswer: b, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 2 + 15 - 4)*(-d + 3*d + d + (1 - 2 + 3)*(1 - 1 - d) + 0 + 0 - 2*d + d + 0 + 0 + 4 + 12*d - 4 + (-2*d + d + 0*d)*(5 - 1 - 1) + 6*d - 2*d + d).\nAnswer: 406*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 4 + 5. Suppose 2*d + 0*d + 2*n = -2, 0 = d - 3*n - y. Solve -u + 3 = -d*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -92*y = -100*y + 15320. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 2, g: 1, t: 6, x: 4, j: 3, i: 2}. Give prob of sequence itxd.\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 2*b**2. Let l(j) = -221*j**2. Let r(y) = 13*y**2. Let f(s) = -3*l(s) - 52*r(s). Give m(f(d)).\nAnswer: 338*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9293.9 - 9294. Which is smaller: -2340 or h?\nAnswer: -2340","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**7\/f)\/(f\/(f\/f**(-5\/4)*f)*f))\/((f\/f**2)\/(f*(f\/(f\/f**(-1\/7)))\/f*f))*f**(3\/2)*f*f**(4\/7)*(f**(6\/7)*f)\/f**(-1\/14) assuming f is positive.\nAnswer: f**(395\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*q - 2*v + 7784, 2*q - 5*v - 3877 = 0. Suppose 3089 = 21*f - q. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(224)*1 + sqrt(224) - sqrt(224))*-6)\/((sqrt(72)\/sqrt(3))\/sqrt(3) - ((-2*sqrt(128) - sqrt(128)) + sqrt(128))).\nAnswer: -4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 22\/(-8) - 1522899\/(-36)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d = -2*d - 4*g + 132, d = -g - 33. Let k = d - -80. Does 6 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1824\/79, -3\/8 in decreasing order.\nAnswer: 1824\/79, -3\/8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -6 + t**3 + 0 + 1 - 3*t**2 - 4*t. Let i be f(4). Let j = -3 - i. Solve j*q + 9 = -5*y, -4*y + 0*q = -2*q + 18 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -4 - (2 + 2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 + 126. What are the prime factors of (-1 - -554) + 91\/o?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4707 + -32947\/7. Solve 0*z - 4\/7*z**2 - d*z**3 + 0 = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -316 and 0.4.\nAnswer: -126.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 222005 + 1353?\nAnswer: 223360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20635219\/30 - 687956. Let j be ((-84)\/(-10) + -4)*(-2 + -21). Let g = w - j. Find the common denominator of g and -151\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 420 = 5*d - 5*t, -2*d - 5*t + 63 + 126 = 0. Let v = d + -58. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*p - 506 = -44. What are the prime factors of (-1*p\/(-14))\/(1\/(-202))?\nAnswer: 11, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3\/554 + -563\/1662. What is the nearest to -1\/3 in -4, j, -2\/5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (6\/(-96))\/((-8)\/(-776))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9093.73931 rounded to the nearest ten?\nAnswer: -9090","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 70494 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: How many minutes are there between 6:15 PM and 8:39 PM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-25))\/(((-126)\/135)\/(-14))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0068114773 rounded to 5 decimal places?\nAnswer: 0.00681","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 18 - 16. Let z be ((-2)\/(-4) + c)*8\/4. Suppose -f = -z*f + 796. Is 20 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 6 = 4*i. Does 3 divide (i + 0)\/(6\/(-9))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -13*x - 2. What is h(-7)?\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1517*m - 1497*m + 20 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-2) - (-2)\/(-4). Let l be ((-1)\/z)\/((-2)\/(-4)). What is the remainder when 14 is divided by 3 - (l - -3) - -6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4192 and 5.\nAnswer: 20960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 4, 24, 58, 106, 168?\n\"Answer: 7*b**2 - b - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8 - -7. Let m = v + 4. List the prime factors of (3 + -1 - m)*-26.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/(-6)*46\/24.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*a**2 - 3 + 61*a**2 + 3 - 67*a**2.\nAnswer: -10*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 28 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1352, 1353, 1346, 1325, 1284?\nAnswer: 1217","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -176029*q**5*y + 2*q**2*y**3 - 2*q*y**3 + 13*q*y**2 - 2*y**3 + 165 wrt q?\nAnswer: -3520580*q**3*y + 4*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2523?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.28 - 0.48. Let k = -83\/1818 - 1\/101. Which is the closest to -2? (a) o (b) k (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 6\/(-8) - (-21)\/12. Calculate the remainder when 9 is divided by (1 - y)\/4 - -5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2*sqrt(252) + 1 - (-2 + ((sqrt(252) + 0)*-1)**2).\nAnswer: -247 - 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 447302794.\nAnswer: 2, 223651397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 + 11*g**2 - 10*g + 8. Let n be a(10). Let r(i) = 6*i**3 - 8*i. Let w(s) = 2*s**3 - 3*s. Calculate n*w(q) - 3*r(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/25 or 171?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x + 51. Let p be b(24). Suppose -r = -5*i + 14 - 8, r = -p*i + 10. Solve -d - 3 - i = 0 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(153)*-2 - sqrt(153))*4)\/(sqrt(81) - (2*sqrt(81) + sqrt(81) + sqrt(81) - sqrt(81)))*2.\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -0.3, 4, -2\/4003.\nAnswer: -1\/2, -0.3, -2\/4003, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 + 1392*l + 58893. What is b(-41)?\nAnswer: 140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3879*u - 3812*u = -938 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (222 - 223 - 12*u - 34*u)*(-185 - 116 + 94) to the form s*u + j and give s.\nAnswer: 9522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 20512 + -20511. Which is the nearest to p? (a) 0.04 (b) 2 (c) -0.1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 41.6784 + 0.0416. Let w = 1.77 - h. Let k = 40 + w. Round k to 2 dps.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(242)*-1 + sqrt(64)\/sqrt(8) - (sqrt(20)\/(sqrt(10) + sqrt(360)) + 2 + sqrt(50)))**2.\nAnswer: -79192\/49 - 1584*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 848085 is divided by 43.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38 + 0 + (3464 - 3543).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -8 + 6\/(((-36)\/224307)\/(-2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = 6 - 1. Suppose 0*x = -5*x, -r*u + 5*x = -25. Factor -2*j**4 - u*j**3 + j**3 - 5*j**2 + 5*j**2 + 2 + 4*j.\nAnswer: -2*(j - 1)*(j + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27711?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3 + sqrt(49)\/sqrt(7))*5)**2.\nAnswer: 170*sqrt(7) + 464","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 - (-6 - (-23 - -3)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -11*a**2 + 17*a + 17. Let t = -16 - 1. Let u(z) = 0*z**2 + 3*z**2 - 5*z**2 + 797 - 791 - 2*z**2 + 6*z. Give t*u(j) + 6*c(j).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 393 - 383. Suppose -10 = -l*s + 3370. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1144, -1142, -1140?\nAnswer: -1138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(5\/(-33)) + (-91)\/65 + 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*d + 1363 = -30*d + 14*d for d.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 751 = 5*o + 760, -17*o - 57 = -v for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -12*m - 7. Let o = -78 + 73. What is the remainder when c(o) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13838.1513 rounded to the nearest one hundred?\nAnswer: 13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 26\/217989 and -26\/159.\nAnswer: 217989","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -37666302, -37666309, -37666316, -37666323, -37666330?\n\"Answer: -7*p - 37666295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 383 - 388. Let k(w) = -5*w**3 - 3*w**2 - 3*w + 4. Let t(s) = 11*s**3 + 7*s**2 + 6*s - 9. Let l(q) = -13*k(q) - 6*t(q). Is l(a) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3738002 = 58*x - 56*x - c, 2*x = -4*c - 3737992. What is x rounded to the nearest 100000?\nAnswer: -1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 370944.\nAnswer: 2, 3, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 192 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 48536 and 10?\nAnswer: 48526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3760 is divided by 209.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1305, 1476, 1647, 1818, 1989?\nAnswer: 2160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 5 - (-12 + 12 + 0 + 0). Suppose 0 = -k*j + 10. Let p(r) = 8*r - 7*r**2 + 8 - 4*r + j*r**2. Let v(t) = -9*t**2 + 7*t + 15. Give 7*p(x) - 4*v(x).\nAnswer: x**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34469 - 34094. Which is the third smallest value? (a) v (b) 0.5 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) - (-2 + sqrt(12)))*1*-5.\nAnswer: -10 + 5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Add -3.292010534 and 0.09.\nAnswer: -3.202010534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of g**3*r**3 + 46*g*r**3 - r**3 - 107*r**2 wrt g?\nAnswer: 3*g**2*r**3 + 46*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-204)\/(-374))\/(21\/154)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ke when two letters picked without replacement from {t: 3, f: 2, e: 3, k: 10}?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*1469.\nAnswer: -42601","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -19*r - 88. Let p(o) = 45*o + 175. Calculate 9*k(f) + 4*p(f).\nAnswer: 9*f - 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 9:46 AM?\nAnswer: 5:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of -30*m**2 + 5\/84*m**8 + 0 + 152\/315*m**7 + 8\/15*m**6 - 5\/6*m**4 + 0*m + 4*m**3 - 142\/45*m**5. What is d in q(d) = 0?\nAnswer: -3, -2\/5, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4b59a8 (base 13) to base 11.\nAnswer: -1028411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -0.5, 0.2, -2, -0.3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + 49*l - 8566. Give p(-128).\nAnswer: 1546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-503*s - 35*s**2 + 503*s + 3*s**2 + s**2 - 3*s**2 + (-3*s**2 - 2*s**2 + 3*s**2)*(6 - 1 - 4) - s**2 + 7*s**2 - 2*s**2)*(-5*s - 3*s**2 + 5*s).\nAnswer: 96*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -i**2. Let q(j) = -20*j + 292. What is q(w(b))?\nAnswer: 20*b**2 + 292","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/2*(-549)\/(-828). Let q = 9 + -209\/23. Let n = q - u. Which is the second smallest value? (a) -3\/7 (b) 1\/4 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 1997547?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 205.42 + -204. Let l = c - 1.42. Let z = -5.4 - -5. What is the biggest value in l, 3, z?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7321333609 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -19*j**2 - 190*j + 428. Let r(b) = -8*b**2 - 77*b + 171. Let a(g) = 12*r(g) - 5*t(g). Factor a(s).\nAnswer: -(s - 22)*(s - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 13 + 8 + -14 - (212\/14)\/2. Which is the fourth smallest value? (a) x (b) 0.04 (c) -5 (d) 4\/3 (e) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k - 2*k - 2 + k + 0*k. Let a be i(1). Is (-3)\/12 - 1013\/a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**5\/4 - 9*j**4\/2 - 443*j**3 + 18*j**2 + 1768*j = 0. What is j?\nAnswer: -34, -2, 0, 2, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 22665 + -90655\/4. Let n = 0.13 + 4.87. Which is the third smallest value? (a) w (b) -1\/9 (c) 3 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7, 0.20272, 0, -10.9 in descending order.\nAnswer: 0.20272, 0, -7, -10.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 352 + 405 - 9088*v + 4544*v + 4543*v.\nAnswer: -v + 757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 7\/2 of a centimeter?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 27550052293 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3271 is divided by 1089?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*t**2 + 0*t**3 + 2*t**3 - 3*t**2 + 3*t**2.\nAnswer: 2*t**3 + 17*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -11132.\nAnswer: -1\/5566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-4))\/(1\/(-2)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -120.751 + -497?\nAnswer: -617.751","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-992*v - 262342 + 262342)*(v**2 + 2*v**3 - v**2).\nAnswer: -1984*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -712*v**2 + 2*v + 4. Let z(y) = -2135*y**2 + 6*y + 14. Determine 7*w(l) - 2*z(l).\nAnswer: -714*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2\/1175 - -27069\/25850. Let n = -6\/11 + v. Sort -4\/5, 3, n in decreasing order.\nAnswer: 3, n, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002313 to 5 decimal places.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: ((5\/(-12))\/5)\/(38\/(-57))\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ff when two letters picked without replacement from ggfgfjgfg.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 7*g**2 + 1 + 5*g - 65*g**2 + 57*g**2 + 2*g**2. Determine v(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54613609 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 5)*(0*f**4 + 0*f**4 + 2*f**4 + (-3*f**3 - f**3 + 5*f**3)*(3*f + 2*f - 6*f)).\nAnswer: 5*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -4878.869388 to one decimal place.\nAnswer: -4878.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*b + 2920 = -18*b. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000452151308 rounded to 6 decimal places?\nAnswer: 0.000045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -217081177*0.1.\nAnswer: -21708117.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1083*p = -14*k - 1087*p - 54, k + 4*p - 11 = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -20*q + 8. Let s(x) = -5*x + 2. Let k(m) = -2*j(m) + 9*s(m). What is the units digit of k(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -82, -2\/123221, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -301 - -1408?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5 - -3)\/((-6)\/4 - -1). What is the nearest to 1 in -1, d, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 13 = 4*l, l + 3 - 20 = -3*f. Let u = 5 - 1. Put l, u, -1 in ascending order.\nAnswer: -1, l, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 12*p - 409. Is h(37) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(1\/37)*z*z**40 assuming z is positive.\nAnswer: z**(1518\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 1 = -0*s + x, x = -s + 2. Let r be ((-10)\/15)\/((-1)\/(-3)). Which is bigger: s or r?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9*b*x**4 - b*x**2 - 465*b + 5*x**3 + 3 with respect to x.\nAnswer: 36*b*x**3 - 2*b*x + 15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 7\/(-210) - 2\/(-10). Let i = -0.12 + 0.02. What is the nearest to -1 in s, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -10292 - 3c9d?\nAnswer: -14040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + -4*(-1 + sqrt(1008) + 5 + sqrt(1008) - sqrt(1008) - (2*(-2 + sqrt(1008)) + sqrt(1008)))**2.\nAnswer: -16381 + 1536*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -s**2 + 6*s + 9. Suppose 5*t = -2*b + 29, t + 2*t - 16 = -b. Let j be l(b). Suppose -y = y - j. What is the units digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-12 - 1)*(-149)\/(149\/(-5))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -111 or -127?\nAnswer: -111","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = -p + 2. Suppose 5*j = 5*t + p - 12, -j = 4*t + 12. Let w = 2 + -1. Which is the nearest to 2\/7? (a) t (b) w (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 125 = -0*r. Let i = 68 + -20. Calculate the remainder when i is divided by r.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1384743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/36)\/((-245)\/50715).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*g = -9*g + 86736. What is the hundreds digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 907951 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: Suppose -75 = -12*v - 3*v. Suppose 4*w = -26 + 6, -c - 22 = v*w. Solve -5*x - 22 = -r, -2 = -2*x + 5*r + c for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5\/9 + -89\/63. Let s = -103.094 - -103. Let a = -4.094 - s. What is the closest to a in 0, y, 0.3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = z - 9, 0 = l + 2*z - 6*z + 21 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 + 28*s - 8 + 11*s.\nAnswer: 39*s - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(30\/(-8)))\/((-130)\/975)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(-7)*672\/192*4?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -126 - -125. Which is the closest to 1\/2? (a) -0.3 (b) o (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*t + 126*t**3 - 126*t**3 - 6*t**4 + (5*t**3 - 6*t**3 + 0*t**3)*(-5*t + 2 - 2) in the form j*t + h*t**4 + c*t**2 + x + v*t**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 + 5. Calculate the highest common divisor of 2 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/250 and 61\/10500?\nAnswer: 10500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 l when two letters picked without replacement from {a: 1, c: 1, h: 1, l: 2, s: 1, v: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (2*4*sqrt(304))**2 - ((sqrt(304) + (-1*(sqrt(304) - (sqrt(304) - (sqrt(304) - sqrt(304)*2))) - sqrt(304)))**2 - (-1 + 1 + sqrt(304)))) + -1.\nAnswer: 4*sqrt(19) + 19153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 104480050333 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1, 1\/2, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -15*m - 21. Let l be g(-11). Suppose -4*s + a = 58 - l, 5*a - 32 = -2*s. Let d = s + 58. What is the remainder when d is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 222566 to the nearest integer?\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1812312734 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 1 = 3*i, -5*i = -l - i + 14. Let g = l - -2. Suppose -t - t = -g. Solve -4*j - 6 = -t*j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**2 - 2*s**2 - 3*s**3)*(s - s + 2*s**2) + 2*s**5 - 2*s**2 + 8*s**4 - 8*s**4.\nAnswer: -4*s**5 - 2*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4817*s**4 + 4818*s**4 + 13*s**2 + 9*s**2 - 32 + 9*s**3 - 9634*s**4 = 0. Calculate s.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 358 + -353. Solve 2 = 2*c - 3*g + 2*g, -u*g - 19 = -c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -223, -220, -217, -214?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.174 - -10.826. Let y = b - 8. Put -1, y, 2\/13, 6 in ascending order.\nAnswer: -1, 2\/13, y, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j**(2\/37))\/(j**27*j*j)*j**0\/j*j*(j*j**(-1\/11)\/j)\/j assuming j is positive.\nAnswer: j**(-11818\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -y**8\/168 + 7*y**5\/60 + 3*y**2 + 2. Let a(z) be the second derivative of i(z). What is the third derivative of a(m) wrt m?\nAnswer: -120*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.4 + 3.96. What is q rounded to 1 dp?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 6) to base 14\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 143 and 242?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25622273 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.145687 minus -27?\nAnswer: 27.145687","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 375\/(-1000)*(-32)\/7.\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 614 (base 8) to base 9\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20891807 = -17*g + 26432793. What is g rounded to the nearest ten thousand?\nAnswer: 2780000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*m + 8*m - 10*m**4 + 10*m**2 - 14*m - 5*m**5 = 0. Calculate m.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.61 and -2.\nAnswer: 1.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**2 + 26\/5*x**3 - 8\/5*x + 0 + 7\/5*x**4 = 0. Calculate x.\nAnswer: -2, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1706*k**5 - 7513*k**2 - 17*k - 124566 wrt k.\nAnswer: -34120*k**3 - 15026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -103*s**2 + 2*s - 229. Let l(w) = 103*w**2 - 3*w + 227. Let t(p) = 2*l(p) + 3*v(p). Differentiate t(x) wrt x.\nAnswer: -206*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116237\/1096262 - 440\/1697. What is the common denominator of q and 101\/12?\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-56)\/16)\/((-154)\/(-44))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.32 + 0.3. Let r = 0.02 + u. Which is bigger: -0.1 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-20)\/16)\/(775\/(-62)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7*((-1)\/1)\/(17 - 18). What is the derivative of 86*c + 1 + 39 + b wrt c?\nAnswer: 86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-438)\/(-14) + 1\/((-21)\/6). Suppose -2*n - 4*u = -7*n + 80, s = 3*n + u. What is the greatest common factor of 108 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 29 and 6821?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -2 - 2 + 4 + 1. Let r(v) = -72 + 1710*v + 31*v**2 + 11 - v**3 - 1708*v. Let f be r(31). Let c(d) = 2*d**3 + 3*d**2 - 1. Calculate f*c(k) + g(k).\nAnswer: 2*k**3 + 3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add -962914343 and 0.02.\nAnswer: -962914342.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * -21310\nAnswer: -4262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - 268?\nAnswer: -25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -292312977 divided by -51?\nAnswer: 5731627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**(-3\/4))\/(j*(j*j**(3\/4))\/j))**19\/((j\/((j*j*j**(-2))\/j))**(-35)\/(j\/(j*(j*j*j**(-1\/4)\/j)\/j))**(4\/7)) assuming j is positive.\nAnswer: j**(491\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 + 4*r - 2. Let k = -3 + -1. Let o be b(k). Calculate the common denominator of 16\/9 and (-2 - 2)\/(o\/(-23)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -572.\nAnswer: -1716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 33? (a) -2\/3 (b) 1\/5 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/22)\/(1812\/24915).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 12 = -0*a. Let z be 6\/(-9)*(-9)\/a. Which is bigger: z or -4?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.89 - 0.11. Let m = -4 - j. Which is the second smallest value? (a) 0.2 (b) m (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the third derivative of -p**7\/420 + p**6\/120 - p**5\/120 - p**4\/12 - p**3\/2 - 14*p**2. Let f(h) be the first derivative of g(h). Determine f(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 200*v - 14. Let a be w(-5). Is (10\/(-30))\/(2\/a) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7974 is divided by 101.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 + 3 - 4)*(3 - w - 3) + 109 - 35 - 8775*w + 8770*w as k + n*w and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-29760)\/14570)\/((-14)\/329)?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -170\/855681?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 717295 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-120)\/(-16))\/((-9)\/30)*(-3)\/5.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*l - 2*l - 1 + 0 - 6*l to the form c + z*l and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -735\/88 - -96\/11. Suppose 2*i + 24 = -i. Find the common denominator of 410\/(-56) + 6\/i and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19334*n - 500 = -19384*n for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 642855*q**2 - 2*q + 85220 wrt q.\nAnswer: 1285710","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 31523 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.66078 times 0.3?\nAnswer: -0.198234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 37233783 to the nearest integer?\nAnswer: 334","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the second derivative of -y**4\/12 + 3*y**3 - 24*y**2 - y - 15. Let o be s(15). Which is the second smallest value? (a) 1 (b) o (c) 5 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 5*s**3 - 2*s**2 - 7*s - 1. Let v be d(3). Let o = v - 71. Let f = 24 - o. Solve -5*k + 20 = f, -4*h + 24 = 2*k + k for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87 = r + k, 3 = 2*k - 7. Let i = r - 83. Which is the closest to i? (a) -2\/7 (b) 2\/3 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from {t: 6, a: 4, x: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 403143 (base 5) to base 10.\nAnswer: 12923","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4888884 and 34944?\nAnswer: 156444288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4984\/(-5340)*80\/(-14). Factor 4\/3*s**2 - v*s + 16\/3.\nAnswer: 4*(s - 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 117 and 5187?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-14580)\/2835)\/((-21)\/245)\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -315 + 645 - 330 - 9*q**3.\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 366, 1195, 2572, 4491, 6946, 9931?\nAnswer: 13440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-24)\/(-10))\/(-4))\/((-60)\/(-1500)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/2 - 200055*a**2 + 20011201566*a - 40021602916.\nAnswer: (a - 200054)**2*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1075648 (base 11) to base 4.\nAnswer: 13023112021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 59\/(-6) - (21\/14 + -2)*22.\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1071 and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 5 + 0\/(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1218561?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-32)*w**(4\/15)*w assuming w is positive.\nAnswer: w**(-461\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -205*n - 198. Determine i(1).\nAnswer: -403","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-19)\/(w\/(w**7*w)))\/((w\/(w\/(w**(-15)*w))*w)\/(w**(-6\/7)*w)) assuming w is positive.\nAnswer: w**(8\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29.2 + 29. Suppose -3*v + v = -4, -l = -2*v. Let j be (l\/(-16))\/(1 - (-14)\/(-32)). Which is smaller: x or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 115 divided by -23\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.48 times 96738?\nAnswer: -46434.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g + 2*u - 64, 2*g - 4*u - 88 = -g. Let i be g\/8*(-2)\/(-3). Suppose 0 = 5*j + 2*k + 4, 4*j + 0*k + 8 = -4*k. Solve 0 = -j*a + i*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4*w - 4. Suppose 26 = 3*k + 2*b, -2*k - 2 = b - 18. Let t be f(k). Suppose -4*x + t + 4 = 0. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -193 - -197. Let k be -1*((t - 0) + -9). Let a = -0.02 - -2.02. Put -0.3, a, k, -0.4 in decreasing order.\nAnswer: k, a, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.9 (b) 0 (c) -13 (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 71*w**3 + 8*w**2 - 20*w + 8. Let o(r) = -24*r**3 - 3*r**2 + 7*r - 3. What is -3*n(c) - 8*o(c)?\nAnswer: -21*c**3 + 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 179730959311 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -143787700 rounded to the nearest one million?\nAnswer: -144000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n + 3*n**4 + 5*n + (0*n**2 - 2*n**2 + 3*n**2)*(-2*n**2 - 11*n + 11*n) to m*n + f + x*n**2 + v*n**4 + k*n**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 + 6*o. Let v be s(5). Suppose 0 + 10 = v*a. Suppose 3*n = 5*m - 7, n + m = a*n - 1. Is n a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q**2 - 3*q - 4. Let n be 1*-5*1*(-48)\/(-80). Let l be s(n). Which is the third biggest value? (a) 1\/5 (b) 5 (c) 0.4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -319.4 - -324.4. Sort c, 0.3, 33, 3 in ascending order.\nAnswer: 0.3, 3, c, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2.8 - 13.8. Let d(a) = -2*a**2 - 40*a - 194. Let r be d(-11). What is the third biggest value in r, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.312 - 0.412. What is the nearest to 4 in -1.9, j, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2303 + 2308 + 2314 + 11*y + 2305 + 24*y - 9232.\nAnswer: 35*y - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.09660775 rounded to 2 dps?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 757953666 + -757944481.89202. Let b = f + -9184. Let r = 0.107 - b. Round r to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 416454 and 837.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.1 (b) 0.5 (c) 5\/4 (d) 21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 365*v - 142*v + 17904 = 3855 for v.\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 4.763 and -282.\nAnswer: -277.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11685.914 + 5.914. Let u = b - -11679.9999990573. Round u to 7 dps.\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24db (base 16) to base 7.\nAnswer: -36336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 588*n = n - 12327 for n.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5 + 26. Let j be z\/9 + (-4 - 1 - -2). What is the nearest to -0.1 in -3, -9, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 8*m**2 + 6*m - 2. Let j be t(-7). Suppose -j = -4*a + 19. Let y = 3 - -3. Calculate the greatest common factor of y and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 10, -1\/2, 0.4?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 6545314626 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 1 - 2 + 2*i - 1 + 2*i**3. Let c(k) = 112 + 3*k**3 - 337 + 3*k + 110 + 112 + 0*k**3. Determine -5*c(u) + 8*d(u).\nAnswer: u**3 + u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**3\/4 + 3*s**2 - 45*s\/4 - 290. Solve l(u) = 0 for u.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0006037 to 4 decimal places.\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in decades?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.3 in 4, -1\/25, -1\/2, -2?\nAnswer: -1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, d: 5, b: 4, t: 1, g: 3}. What is prob of picking 1 a and 2 b?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 62328, 62333, 62338?\n\"Answer: 5*n + 62323","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5*n**4 - 96*n**2 - 1439?\nAnswer: 20*n**3 - 192*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1758, -3943, -6992, -11337, -17410?\nAnswer: -25643","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 404922793.\nAnswer: 11, 36811163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -95388393 or -95388396?\nAnswer: -95388393","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-240)\/540)\/(30\/(-585)).\nAnswer: 26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (j - 2*j + 4*j)*(169 - 216 - 177) + 3*j - 5*j + 3*j + (0*j + 2*j - j)*(2 - 2 - 2).\nAnswer: -673*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w + 607 - 409 = 0. Let i(g) = 6*g + 205. Let q be i(w). Solve -4*h = 2*t - 6, 2*t = t - 4*h + q for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -47. Let n = 31 - i. Let w be -2 + 129\/15 - n\/15. Solve 4*d + 2*t + w = 5*d, -4*d + 4*t = -16 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153855)\/(-5523)*(-28)\/10?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 13*t - 1. Let r(g) = 1. Give -k(x) - 3*r(x).\nAnswer: -13*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a century in decades?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -10 - 3*j - 3*j - 8*j - 14*j**2 - j**3. Let q be t(-13). Solve -5 = 4*s - 5*m, -11 = -s - q*m + 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**4\/3 + t**2 + 6*t. Let c be 16\/(66\/12 + -5). Suppose -c = -0*x - 8*x. Let r(f) = -13*f**2 - 7. What is x*r(y) + 14*l(y)?\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f**2\/11 - 196*f\/11 + 7056\/11 = 0 for f.\nAnswer: -126, 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -0.1 (c) 2\/41\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182*y + 787 = 276 - 3311 for y.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -205 divided by -5?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5, 382 in decreasing order.\nAnswer: 382, 5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 3*p = 3*n + 13, -p - 9 = -n. Let r be -15*n + -4 + 1. Let u = r - -212. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p = 5*l + 14, 205*l + 70 = 202*l - 5*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 0.22, -0.0226 in decreasing order.\nAnswer: 5, 0.22, 0, -0.0226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 17 - 95 = -4*t, -3*m - 5*t - 179 = 0. Let z = m + 59. Solve -7 = 3*g - z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 17 = 19. Differentiate -8 + 10*x + p - 51*x + 31 with respect to x.\nAnswer: -41","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 368?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13849 = 3*x - 2*v - 13842, 14 = 13*v - 15*v for x.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange m + 76 + 274 + 131 to the form a + d*m and give d.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 79, 76, 73, 70, 67, 64?\n\"Answer: -3*p + 82","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 123627*f**3*q**3 + 4*f**2*q**2 + 16*f*q**2 - 45*f - 2*q**3 wrt f.\nAnswer: 741762*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -20*b**4 + 5*b**3 + 23*b - 5. Let u(p) = 21*p**4 - 4*p**3 - 22*p + 4. Let f(n) = 4*r(n) + 5*u(n). Find the second derivative of f(k) wrt k.\nAnswer: 300*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 539 minutes before 11:32 AM?\nAnswer: 2:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 704373 by 43.\nAnswer: 704373\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 282 a factor of 1031824464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -131178959, -131178952, -131178933, -131178896, -131178835, -131178744, -131178617?\nAnswer: -131178448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -2.2 - -0.048\nAnswer: -2.152","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25904 to the nearest integer?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 372940*x - 276381 wrt x.\nAnswer: 372940","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/9, 1.7, -0.3?\nAnswer: 1.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 2*b = -4828, -l + 10*b - 6*b = -948. List the prime factors of l.\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = 2*v + v + 5*a, -110 = 5*v + 5*a. Let g = v - -55. Let n = 56 - g. List the prime factors of n.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 30550.\nAnswer: 2, 5, 13, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -105 - -105. Solve 0 = 2*s + z - 4, 4*s - 6*s + 4*z - 16 = f for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -299, -486, -655, -800, -915, -994, -1031, -1020?\n\"Answer: j**3 + 3*j**2 - 203*j - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*-3 + 3. Let u = -37 + 42. Calculate the lowest common multiple of u and 1*i*(-10)\/(-4).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 - 8*x**2 - 13*x - 1. Calculate t(9).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**2 - 82*j + 507. Calculate the least common multiple of 216 and v(-67).\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2586*m + 2584*m - q = -4, 3*m + 8 = -5*q for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-36 - 17 + 87)*(6 + 4 + 14)*(2 - 2 - 2*p**5).\nAnswer: -1632*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 0)*(-6 - 27 + 6)*(2*b**3 - b**3 - 2*b**3)*(0*b**2 + 8*b**2 - b**2).\nAnswer: -378*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x = 14*x - 2504. What is the tens digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -3128*y - 71959. Calculate z(-23).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2691*a*m*w**2*y + 2*a*m*w**2 + a*m - 2*m**3*w*y + 421*m**3*w wrt y.\nAnswer: -2691*a*m*w**2 - 2*m**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*j**2 + 0*j**2 + 2*j**2 + 6*j**2 - j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14134 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -41 + (7\/(63\/(-8)))\/(28\/(-126)). Which is the second smallest value? (a) 2\/17 (b) -1 (c) t (d) -1\/6 (e) 1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 730 - 729.8. Which is the third smallest value? (a) 0.1 (b) i (c) -5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) 4 (b) 3 (c) -1898 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 7. Suppose -i = -q*n + 15, -4*n + i = -18 - 7. Suppose 39 = 2*f + n. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -1632*z + 465. Let t(a) = 1631*a - 495. Let c(p) = 4*t(p) + 5*w(p). Differentiate c(j) wrt j.\nAnswer: -1636","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 2*r - 402222 - 197776, -5*p = -3*r + 899990. Round r to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (20 - 5 - 40) + -2 + 3*-1. Let r be 2\/10 + (-724)\/20. Is r at least k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-6*(sqrt(18) - sqrt(108)\/sqrt(6)) + sqrt(18))\/(sqrt(18)\/(-3*sqrt(2)) - sqrt(9)) + 0.\nAnswer: -3 - 3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p = 2*t + 10, t + 4*t + 5*p = 0. Suppose -t*z = s - 10, -4*s = 2*z - 6*z + 32. Let a(g) = -2 + 0*g + z*g - 2*g + 2*g**3 - 3*g**3. What is a(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 + 19*w**2 - 46*w - 84. Let j be h(-21). Let i(t) = t**2 - t - 12. Determine i(j).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0040483733 rounded to 5 dps?\nAnswer: -0.00405","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + d + 531 = 100, -2*d = w + 88. Let f = w + 106. What is the units digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -284\/117 + 4558\/4095. Which is smaller: -1 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(72) - 2*sqrt(72))*-6 + sqrt(72) - (1*-2*sqrt(72) + sqrt(72) - sqrt(72)))\/(((sqrt(81)*-3)\/sqrt(9) - sqrt(9)) + sqrt(9)*-2*-4).\nAnswer: 9*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbybysysbys. What is prob of sequence sbsb?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v - 21356 + 2*v**2 + 21345 - 12*v. List the prime factors of c(-7).\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/2 - 76764*z**2 + 153522*z.\nAnswer: 3*z*(z - 51174)*(z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 74.8 + -75. What is the nearest to 1 in -0.15, p, -0.3, 4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -0.07, 2\/9, -5\/2 in descending order.\nAnswer: 1, 2\/9, -0.07, -5\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2342966 is divided by 116.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 8:08 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 154*r - 12718 - 2437 + 2307 = -22*r for r.\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve y = 4*t - 11, -3*t + y = 7*t - 23 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 148 and 35668.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 2:56 AM?\nAnswer: 11:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -2\/5707?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 37.47315 years to months.\nAnswer: 449.6778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(1\/3))**(-3\/2))**(-2\/7)*(h**(-6)\/h**(7\/2))\/(h*h**(-2\/5))**(-19) assuming h is positive.\nAnswer: h**(143\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 11087, 11098, 11109?\n\"Answer: 11*x + 11076","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -r**3\/5 + 959*r**2\/5 - 231352*r\/5 + 685452\/5 = 0.\nAnswer: 3, 478","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-630)\/(-180)*36\/(-14).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*h + 0 - 1 + 1 to the form i*h + y and give i.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 105388?\nAnswer: 2, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.03 - 0.43. Let m = -525 + 948. Let u = m + -435. Sort g, -5, u in increasing order.\nAnswer: u, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a millennium in years?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 396178?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 17 - -48359?\nAnswer: 48376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/16*16\/(-6). Solve 3*g - 19 = -10*f + 5*f, -i*g + 18 = 3*f for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - k - 2. Let w be (700\/12)\/(-25) + (-1)\/(-3). Let s = 84 - 83. Let g(t) = t**3 - t**2 + t - 1. Calculate s*c(j) + w*g(j).\nAnswer: -j**3 + 2*j**2 - 3*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**4 - 2*l**3 - 3*l**2 + 2*l. Let c(d) = -2*d**4 + 5*d**3 + 6*d**2 - 5*d. Let s(h) = 2*c(h) + 5*g(h). Find the third derivative of s(o) wrt o.\nAnswer: 24*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415362019 divided by 1?\nAnswer: 415362019","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = o**3 - 11*o**2 + 8*o + 9. What is l(9)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -490 + 490. Solve y = -3*p + 5*w - 14, w + 4 = 5*w for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -139957679 - 367*q**2 + 139957679.\nAnswer: -367*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/531 and -37\/5.\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13646 by 2.\nAnswer: -6823","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the third derivative of i**6\/780 - 35*i**5\/78 + 2581*i**4\/52 - 2523*i**3\/13 - 3*i**2 - 16. Factor r(b).\nAnswer: 2*(b - 87)**2*(b - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by 1859.\nAnswer: 6\/1859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -5. Suppose 0 = -3*d - 2*d + b*a + 110, 0 = -2*d - 5*a + 75. Calculate the highest common factor of d and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5231.8082 + 0.5\nAnswer: -5231.3082","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 take away 17258.244?\nAnswer: -17258.344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1473002, 2946021, 4419040, 5892059, 7365078, 8838097?\nAnswer: 10311116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + ((sqrt(1944)*-1)\/(sqrt(1200)*-2) - (sqrt(98) + 2*sqrt(98) - (sqrt(128)\/sqrt(4) + sqrt(2))))**2.\nAnswer: 96521\/200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 3)*(-1 + 1 + 2*d)*(-13 + 3 - 8).\nAnswer: -180*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/2977668 and 25\/54444.\nAnswer: 38709684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 - 7. Let s = r + -2. Is -6 bigger than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1255.8379 - 1256. Let n = p + 0.0621. What is the closest to -2 in 0, -2, n, -2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (37 - 40)\/(6\/(-70)). Solve -3 + n = -16*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/10*(-35)\/(-7). Does 11 divide l*3*(-2)\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 3474?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bmmmbb. What is prob of sequence bbmb?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*n - 19*n - 130 + n + 4*n.\nAnswer: -11*n - 130","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 2068, 4064, 6060?\n\"Answer: 1996*b + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-p - 9*p + 0*p)*(-2*p - 1 + 1)*(0*p - 3*p - p).\nAnswer: -80*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5659 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2711174811 to the power of 1\/2, to the nearest integer?\nAnswer: 52069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*(3 + -4 + 2)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -35*p - 518. Let c be w(-26). What is the greatest common factor of 49 and c?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.5 + -2. Let o be 0\/(-2) + 12\/(-58). Let f = o + -75\/58. Sort n, 0.1, f in descending order.\nAnswer: n, 0.1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d = 3*b - 22, 1 = 5*d - 5*b + 21 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -3*o + 3. Let i be f(1). Suppose -16 = -i*d - d. Solve -3*n + d = -8*k + 3*k, -3*n + 3*k + 12 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 2*j + 6. Let u be y(-4). Let h = -2606.9 + 2607. Which is the closest to -1\/2? (a) h (b) u (c) 0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of 5\/3*y**3 + 15*y + 5\/4*y**4 + 56 - 25\/2*y**2. Factor k(a).\nAnswer: 5*(a - 1)**2*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = a. Let p be (4 + (a - (-1 - -3)))\/2. Let f be p + 0 + -4 - (-546)\/186. What is the fourth biggest value in 2\/3, f, 0.1, 2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2430 less than -14?\nAnswer: -2444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -210*x - x**2 + 56*x**3 + 356*x - 149*x to the form c*x**3 + u*x + b*x**2 + j and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -53, 4 in decreasing order.\nAnswer: 4, 1, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18876528 divided by 370128.\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.2 (b) 0 (c) 2\/17 (d) -0.34 (e) -2\/5 (f) -22\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 13*t + 16*t - 42*t**2 - 29*t. Let d(y) = -y**2. Give s(d(f)).\nAnswer: -42*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2268 and 126?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (6\/((-240)\/124))\/6 and 4\/(48\/122) - 5\/15.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 3*a + 463. Let y(i) = 1. Let s(j) = b(j) - 5*y(j). Let d be s(0). Let m = 51 + d. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1131444 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 1\/6, 2\/441, 3, -5?\nAnswer: 2\/441","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 4*sqrt(833) + 3 + -4 + 2.\nAnswer: 5 + 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**2 - 11*o - 17. Let n be w(-8). Suppose 2 = -p + n. Solve 0 = p*t - 8 + 28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -7347337, -7347420, -7347503, -7347586?\n\"Answer: -83*j - 7347254","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -101*w**3 + 3*w + 1439?\nAnswer: -303*w**2 + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from grfnd. What is prob of sequence fng?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**2 + 17364*t - 25125708.\nAnswer: -3*(t - 2894)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**2 - 14*d + 26. Let o be l(12). Let b be (24\/(-21) - -2)\/(o\/2996). Let c = b - 395. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from susututtusuutwttu. What is prob of sequence stss?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 10:44 AM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 4\/13*(-156)\/24*6\/(-4)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -4*v**2 - 30*v - 8. Let z be t(-7). What is the third derivative of 2351*o**2 + 3*o**4 - 2284*o**2 - o**z - o**4 wrt o?\nAnswer: -120*o**3 + 48*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1352 and 2704?\nAnswer: 2704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = j**3 - 5*j**2 - 6*j - 14. Give i(6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -2\/11, -1, 17 in descending order.\nAnswer: 17, 0, -2\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 78123 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -9 - -6 - (8 + -4 + -1) - 5\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -34*m**2 + 316568*m - 91852268 wrt m.\nAnswer: -68*m + 316568","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*z + j + 44 = 0, 3*z = -5*j + 140. Let q be (-2)\/(-10)*z\/6. Which is bigger: q or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + 10110100110?\nAnswer: 10110100101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n. Let j be s(-6). Suppose -22 + j = -4*x. Suppose 0 = x*p - p - 24. What is the greatest common factor of p and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + -2)\/(1 - 0). Let s be (0 + n)\/((-2)\/10). Solve -s*q = -5*v + 15, 7 = q - 6*q + 3*v for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 660 = 4520. Suppose -4*p + 5*j = -7*p + 769, k = 5*p + 5*j. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 127 - -402. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 50223934?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33935\/3 - -18677\/2. Let a = 1985 + q. Let n = -32577\/8 + 4063. What is the common denominator of n and a?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2072 and 5848?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 6057123.\nAnswer: -1211424.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ca when two letters picked without replacement from mmscmmas.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 319\/(-10208)*(-48)\/14?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:16 AM and 8:34 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 168 and 12002628.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -125 = 5*f - 170 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of 41*q**5 - q**4\/4 - 151*q**3\/3 - q - 533. Find the third derivative of u(r) wrt r.\nAnswer: 4920*r - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14326 a multiple of 58?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-120204)\/9900 - (-2)\/11) + -4 + 16.\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -2*m, 2*z - 3*m = -6*m + 11. Suppose 5*n + 6 = -2*f + 1, z*f + 1 = -n. Put 2, f, -4 in decreasing order.\nAnswer: 2, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141112 (base 7) in base 3?\nAnswer: 1100210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 2\/5, 4, 0, 2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 182494513 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 253027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 2)\/1 - -8. Let p(v) = -2*v**2 - 17*v + 7. Let b be p(-9). Let w be 3*(b + 5 - 2). Solve 20 = -4*o + d, 4*d - w - n = -o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.3, 3\/7, -185\/4, -678, -4?\nAnswer: -185\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -142802 - 4331187 = -13*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -3*t + 2. Let j be q(2). List the prime factors of (9\/4)\/(j\/(-64)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.011139 days in minutes?\nAnswer: 10096.04016","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 22 = 6*y + 2*d, -5*y + 24 = -d. Suppose y*t = -27 - 13. Let p be (t\/3)\/((-16)\/24). Solve w = 3*q - 7, -p*w = 2*q - 5*q - 8 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rzthmchr. Give prob of picking 1 m and 1 c.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -8\/13 + 69\/91. Put 5, 1\/5, n, -0.4 in descending order.\nAnswer: 5, 1\/5, n, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i + 1. Give s(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2\/101 - -390\/707. Let p be 37 + (-4725)\/770*6. Which is the smallest value? (a) p (b) -5\/6 (c) 0.5 (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5) + (-41)\/(-55)?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16469 and 1915?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-2))**(34\/5))**(-1))**(-2\/19) assuming z is positive.\nAnswer: z**(-136\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 97043419 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 31467, 125883, 283243, 503547, 786795?\n\"Answer: 31472*j**2 - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = x**3 + 10*x**2 + 4*x + 10. Let r be c(-10). Let f = r + 35. Suppose b + 11 - 1 = f*n, -4*n = -4*b + 8. Solve n*j = -j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + sqrt(160))*-2 + sqrt(24)\/(sqrt(36)\/sqrt(243)).\nAnswer: 43*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -2\/3, 6\/13, -3 in descending order.\nAnswer: 6\/13, -0.2, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -4\/33 (b) 1\/42 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -38002, -76173, -114514, -153025, -191706, -230557, -269578?\n\"Answer: -85*a**2 - 37916*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 14, 29, 46, 65, 86, 109, 134?\nAnswer: 161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -54790, -109478, -164142, -218782, -273398, -327990?\nAnswer: -382558","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - 31*g**2 - 63*g - 103. Calculate i(33).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -4*6\/((-120)\/19355). Suppose 11*w - u = 8163. What is the hundreds digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -95 - -100. Solve -9 = -3*z, -v*m - 2*z - 7 - 12 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1726330374 + -12486547466149\/7233. Let g = v - 3\/4822. Find the common denominator of g and 83\/10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nww when three letters picked without replacement from wnwnwnww.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1119 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 269247500 to the nearest 1000000.\nAnswer: 269000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 184759 a multiple of 229?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((1 + -1)\/(-2))\/2. Suppose 2*q - 48 = -5*d, -d - 3*q + l + 7 = 0. Let t = 167878 - 167876. Calculate the remainder when d is divided by t.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2426693 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 15 (b) 3 (c) -3\/4 (d) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4565\/1242 - 135\/46. Find the common denominator of -151\/12 and j.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1092, 5580, 13468, 24756?\nAnswer: 39444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-2*sqrt(275) + 3 + -3 + (-4*1*sqrt(275) - ((5 + 0 + sqrt(275) - sqrt(275)) + sqrt(275)))))**2.\nAnswer: 5600*sqrt(11) + 216000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 21*a. Let r = 51 + -71. Let m(z) = -106*z. Let j(v) = 18*v. Let d(l) = 12*j(l) + 2*m(l). Determine r*d(p) + 4*u(p).\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 2*a**3 - 13*a**2 + 3*a - 7. Let i be m(9). Let d be (-1)\/5 + 35\/i. Let x = 1 + 1. What is the closest to -0.2 in x, d, 1\/4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 7097 + 1707. Suppose -8 = -3*n + i. What are the prime factors of n?\nAnswer: 2, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 785980?\nAnswer: 2, 5, 13, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2*o**2. Let j(x) be the third derivative of -x**5\/30 - 7*x**3\/3 - 3*x**2 + 30*x. Give l(j(i)).\nAnswer: 8*i**4 + 112*i**2 + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-115)\/180 - 35\/315.\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.90334nm in meters?\nAnswer: 0.00000000990334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1289 + -882. Let s = j - 260. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -q**5\/60 + 5*q**4\/24 - q**3\/6 - 8*q**2. Let p be u(-5). Which is greater: p or -50?\nAnswer: -50","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -3*z + 14 - 5, 0 = -3*s - 2*z - 16. Let r(n) = -3*n - 2 + 7 + 4*n + 2. What is r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w + 0*w + 0*w + (0*w + 3*w - 4*w)*(1 + 2 - 5) - 3*w + 7*w - 3*w + 0 + 0 - 2*w - 2.\nAnswer: 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 5:31 PM?\nAnswer: 12:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11780 to the power of 1\/2, to the nearest integer?\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-188)\/112 + 5\/4.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -67.9, -1\/4, -2\/13, -0.29, -4 in descending order.\nAnswer: -2\/13, -1\/4, -0.29, -4, -67.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -5523150 (base 6) in base 8?\nAnswer: -1032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**11*g)\/g*(g\/(g\/g**(1\/6)*g))\/g*((g\/(g\/(g\/(g*g**8))))\/g)\/(g\/(g**(-11)\/g)) assuming g is positive.\nAnswer: g**(-77\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 29060 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2973 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = d + k - 0*k, -3*d + 9 = -3*k. Let x be (-2)\/6 - (-12)\/9. Let u be x + -203 - (d + -3). What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**2 + 729*n + 61095. Give t(-97).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**2 - 62405*q + 62410.\nAnswer: -5*(q - 1)*(q + 12482)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 712 and 4112.\nAnswer: 365968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/(-6) + (-14)\/(-4). Suppose n = -y - 4 + 7, 2*n - z = -y. Suppose 0 = -y*q + 9 - 1. Solve -q*s + 1 - 13 = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10874441 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 33.3, 2\/9, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 3. What is the lowest common multiple of p and 4*(-4 + 3) - 6*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18, 44, 108, 228, 422, 708, 1104, 1628?\n\"Answer: 3*n**3 + n**2 + 2*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*u - 16 = 12. Factor -40\/7*q - 2*q**3 - 46\/7*q**u - 8\/7.\nAnswer: -2*(q + 1)*(q + 2)*(7*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**5 + 111 - 112 - 2*d**5 + d + (-d**4 + d**4 - 2*d**4)*(2 + 2*d - 2).\nAnswer: -6*d**5 + d - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 0*w**2 - 4*w**2 + (-w + 3 - 3)*(2*w - 3 + 3) + (-10 - 7 + 5)*(-15 - 3*w**2 + 15) + 4*w**2 - 6*w**2 + 0*w**2.\nAnswer: 28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 894 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*m + 7*m - 6*m**2 + (-2*m + 4*m - m)*(4*m - 3*m + 0*m) + (-2*m + 4*m - m)*(-6*m + 4*m + m) to i + q*m + r*m**2 and give r.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6088817 divided by -2?\nAnswer: 6088817\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2384053851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 199943, 199944, 199945, 199946, 199947, 199948?\n\"Answer: h + 199942","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 154 + -5d?\nAnswer: f7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 11:52 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.98 - -8. What is x rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -125*g**2 - 470*g**2 + 76*g**2 - 433*g**2 + 48*g**2 to the form h + c*g**2 + o*g and give c.\nAnswer: -904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*16.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - s**2 - s + 1. Let m be n(0). Let w be (-3)\/9*(-5 - m). Suppose w*x - 3*x = -3*u - 12, 3*x = -u - 4. Solve -y = -x*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, -2, 3, 61, 4 in decreasing order.\nAnswer: 61, 27, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -622*z + 1201*z - 686*z + 3531 for z.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*x + 44 = -4*o, 280589*o + 3*x + 32 = 280593*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 2*v = -0 + 19, -5*r + v = 28. Let s(l) = -3*l - 4. Does 11 divide s(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a - 4*a + 5*a - 5*a. Calculate w(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190 = 4*m - 5*i, -i + 3 = 1. Let j be 24\/2*m\/(-36). Solve j = t - 4*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149291750 rounded to the nearest 100000?\nAnswer: 149300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 22 - (8\/84 + 57\/63). Differentiate 8*t**2 + 104 + o - 5*t**2 - 27*t + 4 wrt t.\nAnswer: 6*t - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 22 = 17*j - 6. Is 10 greater than or equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 109428 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n = -234*n + 1680. Let l(j) be the third derivative of -j**4\/8 - 2*j**3\/3 - j**2. Determine l(n).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-u**3 + u**4 + u**3)*(1 - 9275*u - 7543*u + 15262*u).\nAnswer: -1556*u**5 + u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -386461\/27 - -14315. Find the common denominator of (-61)\/(-30) + -1 + 0 and g.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1512577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -388*0.14\nAnswer: -54.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*((-100)\/(-48))\/((-42)\/168).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -5*v**3 + 7*v**2 + 601*v - 609. What is r(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6327 - 4306. Which is smaller: g or 2019?\nAnswer: 2019","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 2*m - 1 - 21, -a + 3*m = -7. Suppose 0 = -v - a*v. What is the units digit of 2 + (-34)\/(v + -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x - 27 = 9. Suppose 4*d + 3*w = 8, 4*w = -4*d - w. What is the least common multiple of x and d?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -12*b - 12. Let w(l) = l**3 - 19*l**2 - 22*l + 37. Let p be w(20). Is 13 a factor of n(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.25 + -0.05. Let f = 9 - 10. What is the nearest to f in a, 2, 0.1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3398445.\nAnswer: 3, 5, 75521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 31288715.0000224 + -31288758. Let v = -43 - r. What is v rounded to 6 dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 661586.\nAnswer: 2, 330793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rgrrrztyy. What is prob of sequence tzy?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4741 (base 8) to base 9.\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.1 - 0. Let s = -40 - -11. Let j = s - -29.4. What is the nearest to i in j, -1, 4\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -14241*c + 28534. What is x(2)?\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -17 and -0.0294.\nAnswer: 0.4998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 18094768 and 3104?\nAnswer: 1552","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 5 - 8 = 3*q, -4*q = 3*m + 43. Let r be (-101)\/m - (-4)\/(-18). What is the greatest common factor of r and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.01 and 153.486.\nAnswer: 155.496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 6*y - 40. Let a be l(6). Sort a, 1, 3, 4 in decreasing order.\nAnswer: 4, 3, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - 6*n**2 + 11*n - 10. What is the remainder when 114 is divided by d(5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + 2*a - 3 - 3*a - 2*a as p + w*a and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 122*c**3 - 8850*c + 8850*c - 3*c**3.\nAnswer: 119*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8060562?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 20000 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 54094 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3213396 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1774825 and 215?\nAnswer: 215","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (y - 2*y - y)*((-4 - 4 + 3)*(0 + 2 + 0) - 3 + 1 + 1)*(23 - 4 + 27) to the form x + m*y and give m.\nAnswer: 1012","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - r - 12 = 0, -4*i + 18 = -r + 2. Solve 5*c - z - 3 = 2, -i*c = -2*z + 2 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five halves of a litre in millilitres?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -0.4 (c) 2.1 (d) 4\/13 (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -940671\/5 + 188134. Let z = -5 + 26. Which is the biggest value? (a) 0 (b) j (c) z (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 107 - 100. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y*y**2)**(-1\/6)\/(y**(3\/14)*y**(-4)*y))**(-11\/6))**19 assuming y is positive.\nAnswer: y**(-1672\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(2) + sqrt(6)\/sqrt(3) + 2 + sqrt(2)))**2 + -1 - (-5 + ((sqrt(16) + -1*sqrt(16))\/sqrt(8) - (sqrt(72) + 0)))**2)*-4.\nAnswer: 192*sqrt(2) + 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 141360000 to the nearest 1000000.\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b + 9 = -2*x - 12, 4*b = 3*x + 89. Suppose -5*h - 5*o + 4*o + 62 = 0, 4*o + 51 = 3*h. What is the remainder when b is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57 - 1 + 14)*(-2*p + 0*p + 0*p)*(p**3 - 5*p**3 + 3*p**3)*(1 - 1 - 3*p)*(1 - 1 - 2).\nAnswer: 840*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -9*i**3 + 11. Let p(n) = 10*n**3 - 5*n**2 - 6. Let h(l) = -9*l**3 + 4*l**2 + 6. Let q(a) = 5*h(a) + 4*p(a). Give -6*o(r) + 11*q(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.11 and -4.\nAnswer: 0.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 3*w + 20 = 34, m - 5 = -5*w for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.4? (a) -3\/4 (b) -4 (c) -3\/37 (d) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 69908832 and 3168.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1993662 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42411?\nAnswer: 3, 67, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 69257 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**7)\/t**(-1\/3))\/(t**(-1))**(-30) assuming t is positive.\nAnswer: t**(-107\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -119 (b) -3 (c) 0 (d) 2\/7 (e) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2, -53, -98, -133, -158, -173?\n\"Answer: 5*n**2 - 70*n + 67","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 12008, 27110, 52274, 87494, 132764, 188078?\n\"Answer: -z**3 + 5037*z**2 - 2*z + 6974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*w = -2*w + 213984, -5*j - 4*w = -267480. Is 46\/(-161) - j\/(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -5*i + 1144135, -2*x - 150313 = -i + 78514. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -2*t**2 + t**2 + 2*t**2. Let o(z) = -4*z - 6. Let a be o(-2). Let x(q) = -4*q**a - 10*q**2 + 6*q**2. Give v(x(i)).\nAnswer: 64*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 1227, 1081, 663, -171, -1565?\n\"Answer: -24*x**3 + 8*x**2 - 2*x + 1245","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) be the second derivative of 11*z**6\/90 - 11*z**3\/2 + 19*z. Let t(b) be the second derivative of w(b). Let y(o) = 2*o**2. Determine y(t(q)).\nAnswer: 3872*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3878, 5203, 7364, 10367, 14218, 18923?\nAnswer: 24488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g + 463 - 97. Suppose 5*c = g - 28. What is the greatest common divisor of 279 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -1862, -1841, -1806, -1757, -1694?\n\"Answer: 7*r**2 - 1869","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 856.7211 years to months.\nAnswer: 10280.6532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 870 and 1796840?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 235 = 2*r - 7*r. Let n = 66 + r. What is the highest common divisor of n and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 1152489?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 12138, -2\/1889, 2\/7?\nAnswer: 12138","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-4 + 2\/1)*-1319. Let t = n - 52773\/20. Let s = 6125 + -61221\/10. What is the common denominator of t and s?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwnggbpnwrbppwb. Give prob of sequence gbgr.\nAnswer: 1\/5460","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 85*n**3 + 48284*n**2 + 2272*n.\nAnswer: n*(n + 568)*(85*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1337193547 to the power of 1\/3, to the nearest integer?\nAnswer: 1102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/28? (a) -0.2 (b) -244 (c) 2\/7 (d) 1\/4 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -257218 rounded to the nearest 1000?\nAnswer: -257000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.1 - -4. Let u be 3\/15 + 399\/(-1845). Let r = u + 137\/861. Which is the second smallest value? (a) r (b) t (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 2, 5*b - 2 = 4*p - 11 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10*h**3*n**2 - 73*h**3*n + 3843*h**2*n**3 + 3*h*n**2 + 19*h - 5*n wrt n.\nAnswer: 20*h**3 + 23058*h**2*n + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (p**4 + 25*p**4 + 8*p**4)*(0 + 679 + 129) as d + m*p + t*p**3 + q*p**2 + x*p**4 and give x.\nAnswer: 27472","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - k + 0)*(k - k + 20*k**4).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 4*q**2 + 10*q. Let y(j) = -3*j - 10. Let f(g) = -2*g - 6. Let w(v) = 5*f(v) - 3*y(v). What is -d(n) - 10*w(n)?\nAnswer: -4*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + a + 3*r - 21 = 0, 3*a - 2*r = 31. Let s be 6\/2*28\/12. Let n = -5 + s. Solve 2*k = -5*o + 1, -5*k - 3 = -n*o + a for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 5*v = 38975, -y + 4*v - 7790 = 2*v. What is y rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -25*4\/(-150)*((-14)\/60)\/((-15)\/135)?\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2080 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z**2 + z - 1. Let p be d(1). Let m be 2*p\/(-24) + (-11)\/(-3). Suppose 0*l - 4800 = -s - 5*l, m*l - 19264 = -4*s. Round s to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1201 + 1201. Let l = 0.76 - 0.16. Let c = 0.8 - l. What is the smallest value in 4, c, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70 = 9*r - 11. Suppose r*t = -6*t + 10365. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 2665*n - 81681. What is a(30)?\nAnswer: -1731","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 1260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**3 - 4*s - 4. Let c(a) = -11*a - 7 + 15*a**3 + 2 + 1 - 7. Calculate 4*c(q) - 11*n(q).\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-352)\/20)\/(-11))\/(4\/10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 93 divided by -2?\nAnswer: -93\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -5, 102 in ascending order.\nAnswer: -5, 2, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*z\/z**(-2\/25)*((z*z\/z**(-1))\/z*z)\/z)\/((z**13\/z)\/z*(z*z\/(z\/z**(-5)))\/z*z) assuming z is positive.\nAnswer: z**(-23\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -8 + -117aa7?\nAnswer: -117ab3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34357 divided by 1.\nAnswer: -34357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 1 = 3*o - 3, 3*p - 5*o = 26. Let n = -10 - -10. Solve n = -p*u + 3*u - 16 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-5 + 3)*(-9)\/2. What is the greatest common divisor of m and 63?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 56 in 1\/13, -6, -0.4, 3\/58?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19920419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -64342.98 - -12.958?\nAnswer: -64330.022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5756 and 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0 - 2. Let i = d + 18. Suppose -5*l = -9 - i. Is l equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = -9*z - 115 + 36 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -423*a + 12950 = 502*a for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 27906 = 4*f, 58*f - 55*f + 27906 = 3*b. Does 170 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(11)*-2)**2 - sqrt(11)) + sqrt(11) + -2 + -1.\nAnswer: 393","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4*p + 10 = 2, 5*p = 4*c - 10. Let l(b) = -b - 4. Let g be l(-5). Sort g, 4, c in increasing order.\nAnswer: c, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20.1 + -16.1. What is the second biggest value in -0.17, -0.5, h?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.9 and 188.28825477.\nAnswer: 191.18825477","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (2 - 8) + 7\/((-70)\/(-64))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -24, -2029*m - u = -2034*m - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -769017594*j**2 - 328191283 wrt j?\nAnswer: -1538035188*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 251 is divided by (-102)\/4*(-18)\/(-135)*-5?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 167384?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 4083920\/393 != 10392?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of 0*t**5 + 0 + 0*t - 2\/3*t**3 + t**2 - 1\/20*t**6 + 0*t**4. Find the first derivative of n(l) wrt l.\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 + -9. Suppose 2*t = 5*n - 880, 2*t + 704 = -0*n + x*n. What is the greatest common divisor of 11 and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2 - 4*v + 2. Let r(m) = -5*m**2 - 5*m + 2. Let f(s) = 4*c(s) - 3*r(s). Let x be f(-4). What are the prime factors of x + 11 + 1*4?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fnf when three letters picked without replacement from fennnbbfbnbffnf?\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iktitiktkttikii. What is prob of picking 1 t, 1 k, and 1 i?\nAnswer: 24\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 103262134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 776 less than or equal to 634?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o**5\/15 - 164*o**4\/15 - 94*o**3\/3 - 88*o**2\/3 - 56*o\/15 + 64\/15 = 0 for o.\nAnswer: -8, -2, -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {w: 2, d: 1, a: 2, z: 1}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ujjijujjzziu. Give prob of sequence zjzu.\nAnswer: 1\/396","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 3*t**4 - 311961*t**3 + 3119241*t**2 + 7174377*t + 3743172 = 0?\nAnswer: -1, 12, 103977","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + -2 + 2 + 1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -38 - -57. Let d(k) = k**2 - 19*k + 5. Let w be d(a). Solve -8 - 2 = w*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 77836?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = z + 8, 3*o - 5*z = 8 + 20. Is 879 - (1 + -1)\/(-1)*o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 3*n - 33. Let z(c) = 11*c - 130. Calculate -9*v(o) + 2*z(o).\nAnswer: -5*o + 37","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, b: 1, w: 6, f: 4, u: 2, q: 3}. Give prob of picking 2 q and 2 u.\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ym when two letters picked without replacement from {m: 2, y: 3, r: 1, o: 4}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 l when two letters picked without replacement from {o: 5, l: 6, q: 6, c: 1}.\nAnswer: 10\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4497 at least -2\/383?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4038?\nAnswer: 2, 3, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1995\/2)\/3 + (-12)\/8. Let m = r - 332. Sort 33, m, 5.\nAnswer: m, 5, 33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 + 74?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -610 - -610.206. Let k = z + 81.594. What is k rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4405309\/11 + 399944. Which is smaller: m or -540?\nAnswer: -540","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6aa (base 15) to base 9\nAnswer: 2057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -677c (base 13) to base 10\nAnswer: -14468","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 2403011, 2403015, 2403019?\n\"Answer: 4*k + 2403007","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 9, c: 7, e: 3}. What is prob of sequence eeec?\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 23573773 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35)\/sqrt(20) + 1)**2.\nAnswer: sqrt(7) + 11\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*q = 12*q - 0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jaqwcwjqpqpqq. What is prob of sequence jj?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -5*y + 6. Let n(h) = -9*h + 11. Let z(w) = -7*f(w) + 4*n(w). Let s be z(-6). Let q be 3\/2*s\/(-3). Is -5\/2 at most as big as q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4\/(-6))\/((-12)\/(-27))*(-2442)\/(-333)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the first derivative of -f**5\/12 + 5*f**4\/4 - 15*f**3\/2 + 5*f**2 + 2. Let o(b) be the second derivative of c(b). Factor o(s).\nAnswer: -5*(s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 41*q - 2*q + 3*q + 108 = 0, 0 = 38592*c - 38587*c + 9*q + 33 for c.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c + 9 - 0. Suppose -4*s = -15 - c. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -u + 6. Let t be i(1). Suppose 0 = -4*v + t*v - 2. Suppose -2*h = q + 376000, 2*h + h + v*q + 564000 = 0. What is h rounded to the nearest 100000?\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-15)\/20*(-12)\/9 - -3. Suppose 4*r + 46 = -4*b + 458, -560 = -5*b + o*r. What is the remainder when b is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 9*u + 103. Let k(v) = v**2 - 8*v - 25. List the prime factors of k(u).\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 715?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 9*n**2 - 4*n + 4. Let h(s) = -260*s**2 + 117*s - 117. Calculate -4*h(u) - 117*y(u).\nAnswer: -13*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 81 + -52. Let h = a - 17. What is the remainder when 47 is divided by h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7118 divided by 110142\nAnswer: -3559\/55071","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 5 - 7)*(-1 - 2*s + 1)*(0 + 1 - 4 + (-2 - 2 + 2)*(-3 - 3 + 5) + 4 - 4 + 2 - 3 + 5 + 3) as r + t*s and give t.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11, 0, -19, -46?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3582105243?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 17 = -3*v, 0 = h - 2*v + 3*v - 19. Let 4*z**2 - h + 19*z - 12*z + 0*z + 9*z = 0. Calculate z.\nAnswer: -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14668?\nAnswer: 2, 19, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1)*p**2*(p**0)**(-42) assuming p is positive.\nAnswer: p","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -17 + 16.8. What is the second biggest value in -11, y, 2\/5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -751991*y + 3215068 wrt y?\nAnswer: -751991","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2202 - -2327. What are the prime factors of b?\nAnswer: 7, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/8)\/((11808\/(-640))\/41)?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11 + 1010101?\nAnswer: 1010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a milligram in micrograms?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + l = 18. Let o be (-9)\/15 + l\/(-10). Let n = 10 - o. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x**2 + 371210*x - 1113621 = 0.\nAnswer: 3, 371207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -87685, -175357, -263029?\n\"Answer: -87672*c - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -20*y**2 - 3255*y + 815 = 0.\nAnswer: -163, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (5 + 13)\/(195\/(-204) + 1). Calculate the highest common divisor of v and 48.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/266)\/((-4)\/38)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of i**6\/60 - i**5\/15 + i**4\/3 - i**3\/3 - 156*i**2. Let t(m) = m**3 - m**2 + m - 1. Determine l(n) - 4*t(n).\nAnswer: -2*n**3 + 4*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*f + 51 - 19 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 o and 1 x when four letters picked without replacement from xoooxoaooooxxooxxo.\nAnswer: 11\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 + 9*j + 15. Calculate b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-26)\/10 - (184\/(-40) + 4). Let j(w) = 25*w. Let t(n) = -5*n. Give h*j(i) - 11*t(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**3 + k**2 - k + 15. Suppose 32*j - 5 = -i + 33*j, -2*i + 4*j = -20. Calculate l(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*p**2 + 25*p**2 + 78*p**2 + 36*p**2.\nAnswer: 127*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3535*o + 2*o**4 - 9*o**3 - 3535*o)*(0*o - 48*o + 8*o).\nAnswer: -80*o**5 + 360*o**4 + 40*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the third derivative of -x**6\/120 + 2*x**5\/15 + 4*x**2. Find the third derivative of r(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7 - -13. Suppose 0 = -m + t*m - 25, 0 = 5*n - m + 10. Which is smaller: n or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1764\/(-72))\/(2\/(-12)). What is the greatest common divisor of 3430 and v?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + 0 - (4 + 16 + -14)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 9\/(27\/6)) + 251144 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -152, -666, -1516, -2702, -4224?\nAnswer: -6082","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 - 25*i**2 - 22*i - 85. Let y be v(26). Suppose -m + 4*m - y = 2*t, 0 = -2*m + 2*t + 10. What is the smallest common multiple of 12 and m?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - g + 6. Let f be w(0). Let c = -4 + f. Let a = 1 + 0. Do c and a have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 = -3*y + 3*x + 34, x + 150 = -4*y + 116 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-525)\/9 + 48\/36 - -3. Let z be (d\/(-36))\/(3\/8). Solve -z*o + 2*o = 4 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of -k**5\/150 + 493*k**4\/15 - 972196*k**3\/15 + 1288*k**2. Factor o(l).\nAnswer: -2*(l - 986)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x - 9*x - 24*x = -400 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 j when two letters picked without replacement from {o: 2, c: 1, j: 3, r: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out -109 * -8.6.\nAnswer: 937.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -154*h = -2*y - 151*h - 3, 0 = -4*y - 2*h + 18 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 534275 = -5*m - 534267, 0 = -2*y + 8 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 48c332 (base 15) in base 12?\nAnswer: 1200062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 316398 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 t**2\/6 - 11*t\/6 + 5 = 0. What is t?\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 93 and 26629?\nAnswer: 79887","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -26\/709485 and 67\/945980.\nAnswer: 2837940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 24225 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:39 AM and 12:24 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 836 and 177441?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 2. Let p = o - -2.9. Let j = 5.2 + -5. Sort p, j, 0 in decreasing order.\nAnswer: j, 0, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3102981673?\nAnswer: 11, 31, 131, 69463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 38305.54 micrograms?\nAnswer: 0.00003830554","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.55 + 1.25. Let l = 15.3 - 16. Let q = v + l. What is the closest to 1 in 1\/2, 1\/4, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1276133 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 459561593?\nAnswer: 459561593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 6 = -2*x + 6*q, 5*x = -5*q + 30. Let u be (x + -4 + -5)*-1. List the prime factors of 62\/u*3 - -3.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -19376*q**3 + 5175*q**3 + q**2 - 3*q + 3*q as k*q**2 + m + z*q**3 + v*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 74 - 127. Suppose 4*c + 6 = -2*b - 12, 3*b = -c - 27. Let m = b - x. Does 22 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1692 and 165504?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + sqrt(112) + ((sqrt(112) + sqrt(112)*-1)*4)**2 + (2*-2*(-1 + sqrt(112) - sqrt(112)))**2 + 2.\nAnswer: 4*sqrt(7) + 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -423 divided by 141\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/4*(-5)\/((-70)\/24)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1. Let k(z) = -2*z + 2. Let m(j) = k(j) - 2*x(j). Let q(a) = 60*a**2 + a. Let c(v) = 383*v**2 + 7*v. Let i(g) = 6*c(g) - 39*q(g). Give i(m(d)).\nAnswer: -168*d**2 - 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -20 + 7.1\nAnswer: -12.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5597270 and 35.\nAnswer: 5597270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 32*z. Let p(n) be the third derivative of n**6\/360 - 13*n**3\/3 - 7*n**2. Let q(m) be the first derivative of p(m). What is g(q(x))?\nAnswer: 32*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1714 + -3407a?\nAnswer: -35793","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**5 - 730*f**4 + 1452*f**3 + 4*f**2 - 1454*f + 726.\nAnswer: 2*(f - 363)*(f - 1)**3*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6322 and 5626.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-258)\/2408*14\/(-12). Let l = 743 - 3693\/5. Let h = l + -73\/20. Put h, 4\/7, m in increasing order.\nAnswer: m, 4\/7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, c: 1, e: 1, v: 1, r: 1, p: 2}. What is prob of picking 1 c, 1 p, and 2 b?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46*-0.1.\nAnswer: -4.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 777571 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(612)*1)**2*2 + 3*((sqrt(17) - (sqrt(85)\/sqrt(5) - sqrt(17))**2) + 0).\nAnswer: 3*sqrt(17) + 1224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) be the second derivative of b**6\/40 + b**4\/12 + 3*b**2\/2 + b. Let k(m) be the first derivative of z(m). What is the second derivative of k(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 6 = 9. Suppose -4*b + u + 26 = 3*u, 0 = -2*b + a*u + 43. Calculate the remainder when b is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1700) - (-3 + sqrt(1700) + -1)) + sqrt(1700) + -3 + 0)*3*5.\nAnswer: 15 + 150*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.19, 0.3, 1\/3, -15?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-15)\/(-3))\/5)\/(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 1)*(2*i**2 + 4*i - 4*i + 3*i**2 - 4*i**2 - 2*i**2 + (4*i + 3*i - 3*i)*(1 - 1 + i) + 17*i**2 + 2*i**2 - 3*i**2)*(0*i - i + 0*i)*(5*i**2 - 5 + 5).\nAnswer: -190*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*v + 166984727212*v**2 + 6*v**3 - 166984727212*v**2.\nAnswer: 6*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49 - 10*h + 1 + 48 + 3*h.\nAnswer: -7*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = v. Let c be (v + 2)\/(-2) - 1. Let x(b) = b**3 - 2*b - 3. Let y(s) = s**3 - 2*s - 2. Determine c*x(f) + 3*y(f).\nAnswer: f**3 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 6 = -1, 0 = -5*y - 3*i + 505. Suppose 4*b + 12 = y. Is 8 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-15)\/6*(3 - 1). Let l(t) = t + 7. Let k be l(d). Is 52 + 2 + k - -2 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 5*p + 5. Let j(n) = 4*n - 94. Let k be j(23). Put p, -1, k in descending order.\nAnswer: -1, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and -92\/65415.\nAnswer: 392490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -783 + 862.6. Let u = p - 50.6. Which is the third smallest value? (a) -4 (b) -0.2 (c) u (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7070 and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 minutes before 12:42 PM?\nAnswer: 8:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: ((-39)\/35 - -1)*(-20)\/24 + (-1241)\/21\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 7018 and 3582370.\nAnswer: 39406070","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 3*p. Suppose -3*t = s - 42, -5*s + 8 + 7 = p. Let n(i) = i**2 - 11*i - 22. Let u be n(t). Which is the smallest value? (a) u (b) 0.3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8395 = -14*w + 25093. Calculate the greatest common factor of w and 1288.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 0.9506204 hours?\nAnswer: 3422233440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/5 + (-11)\/(-9) + 1. Put y, 3, 2\/7 in descending order.\nAnswer: 3, 2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/5, 3, 5\/6, 3\/5 in decreasing order.\nAnswer: 3, 5\/6, 3\/5, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-12)\/(-48) + 11\/4. Let c(f) = f**2 + 3*f - 6. Let a be c(-4). What is the closest to -0.1 in m, a, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -412*c**4*v + c**4 - c**3 - c**2 + 1216*c*v wrt c.\nAnswer: -9888*c*v + 24*c - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = -p - 65, -631*p + 632*p - n = 13 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4441 - 4444. Which is the fourth smallest value? (a) 0.01 (b) -79 (c) 2\/23 (d) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350737455 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 - 14*c - 15. Let b be s(-13). Let d(m) = m**2 - m + 1. Let h be d(1). Sort -5, b, h.\nAnswer: -5, b, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*s**5 - 16*s**4 - 12*s**3 + 72*s**2.\nAnswer: 4*s**2*(s - 3)**2*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -1882\/79 less than or equal to -2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 6*i - 2. Let d be y(4). Suppose 4*w - d - 42 = 0. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1582)\/(-26894))\/(2298\/(-204)).\nAnswer: -2\/383","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*c + 0*c + 27 = -k, -19*c + 14 + 24 = k - 5*k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -5, -25, -51, -83, -121, -165?\n\"Answer: -3*j**2 - 11*j + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of s**3\/3 - 18*s**2 + 3*s + 12. Let t be d(27). Calculate the remainder when 220 is divided by t\/(-14) - -1 - 8668\/(-154).\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**2 + 9*a + 18. Does 7 divide h(10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -36*w + 33*w + 6. Suppose 0 = -4*n + w*n + 22. What is the remainder when 73 is divided by n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -22. Suppose 0*q = 2*q. Suppose 4*s + 5*b - 72 = q, -3*s + 2*s + b + 27 = 0. Calculate the remainder when s is divided by x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1\/2)\/(2\/48). Let p be (1 - -1)\/((-6)\/j). Put 6, -3, p in ascending order.\nAnswer: p, -3, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8690248 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 56*a**3 - a**2 - 2*a - 1. Determine g(-1).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -36 in -1\/3, 4, -474?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -30110202?\nAnswer: -30110221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*h + 70 - 50. Suppose -h*g = -2491 - 1077. Is g a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 113 - 117. Put -5, -26, d, 5 in increasing order.\nAnswer: -26, -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 184402362?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-100 - 5 - -51) + 98?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aaaa when four letters picked without replacement from {s: 1, r: 6, w: 1, a: 4, j: 1}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 0.4411378 centuries?\nAnswer: 0.04411378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 10067 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 519 (b) -3 (c) -56\/153 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*x = -39*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -16, 5 in increasing order.\nAnswer: -16, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 121 minutes after 2:17 PM?\nAnswer: 4:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001110 + -1010100101?\nAnswer: -1001010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**3 - 11*d**2 - 38*d + 11. Let v(n) = -n**3 + 6*n**2 + 19*n - 6. Give 6*j(w) + 11*v(w).\nAnswer: w**3 - 19*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -487648530579.5?\nAnswer: 487648530574.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 3, 40\/111.\nAnswer: 40\/111, 3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 4:35 PM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 42 in 25\/17, 0.3, -36?\nAnswer: 25\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2699\/110 >= 26?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + -2 - (-1 - 1). Let h be 0 - -3 - (-2)\/b. Find the first derivative of s + 469*s**4 - 6 - s - 474*s**h wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 128 - 127.9. What is the closest to t in -2, -28, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 3. Let j(u) = 2*u - 2. Let d(h) = 3*j(h) - 2*w(h). Let g be d(4). What is the highest common divisor of g and 20?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11500 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r**5 - 52*r**4 - 24*r**3 + 80*r**2 + 32*r = 0. Calculate r.\nAnswer: -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -2\/5, -3\/8, -37?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 5*n - 11, -y + 4*n = n - 6. Let 106*d**y + 5*d**4 - 106*d**3 = 0. What is d?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 177141\/18 - (246\/(-36) - -7)?\nAnswer: 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16*s**2 + 320*s**2 - 20*s**2.\nAnswer: 284*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -35*k**2 + 55*k - 259. Calculate z(4).\nAnswer: -599","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1171370068?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 c, and 1 t when three letters picked without replacement from fctcfffcftftmf?\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 23384059 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 4)*(-19514*l**3 + 36587*l**3 - 19348*l**3).\nAnswer: 9100*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -159*l - 4. Let r(z) = 159*z + 4. Let i(g) = 4*b(g) + 3*r(g). Let m be i(4). Round m to the nearest one hundred.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14, -78, -252, -590, -1146?\nAnswer: -1974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x + 3*d - 215659 = 150843, 2*d - 12 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7 is divided by 90\/35 + (-3)\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 2 - 1 = 0. Suppose -87*x + 105*x - 11340 = 0. Suppose 53*l - x = 11*l. Which is the closest to g? (a) 3 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -3*k**2 - 2*k + 1. Let q be y(-7). Let z = q + 1053\/8. What is the common denominator of 37\/6 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (20\/(-6))\/((-96)\/25572). Let t = -899 + y. Calculate the common denominator of t and 600\/54*(20\/8 + -1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(18\/(-90)) + 17\/17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -13*z + 4. Let l(o) = -15*o + 2. Let v(r) = 7*r - 1. Let k(u) = -3*l(u) - 7*v(u). Let h(x) = -6*f(x) + 21*k(x). What are the prime factors of h(-2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t = t + t. Let z be (15\/(-4) + 4)*t. Suppose -4*k = z, n + 2*n = 4*k + 75. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j - 1. Let x = -23 + 17. Let b = x + 9. Let l be k(b). Let a(v) = -v**3 + 3*v - 2. Determine a(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 11*g**2 - 2*g + 20. Determine b(11).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = s + 12. Let y be z(-10). What is the third derivative of -u**2 - u**2 - u**3 - 2*u**2 + 5*u**y wrt u?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + z + 1. Let i(b) = 5*b**2 + 12*b + 6. Let y(h) = -i(h) + 6*o(h). Let s be y(6). Factor -1\/3*m**2 + 1\/3 + s*m.\nAnswer: -(m - 1)*(m + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 473 and 561.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 10*x - 1. Let u be n(0). Let k be ((24\/(-16))\/3)\/(u\/(-4)). Which is the nearest to -2\/9? (a) 11 (b) 2 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/15 in 3, -3\/7, 4\/5, 4, 9, -3625?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 17, 1\/6, 1\/3, 2 in decreasing order.\nAnswer: 17, 2, 1\/3, 1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -d (base 14) to base 9.\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108*v + 140 = 32 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11479743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25721000 rounded to the nearest 1000000?\nAnswer: 26000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 93684959531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*-3*(2 - 3). Let f(b) = b**2 - 4*b - 1. What is the lowest common multiple of f(5) and -3 + (14 - (4 - s))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*n + 35 = 4*i, 3*i - 31 = -n. Find the third derivative of i*f**2 + 12*f**5 - 4*f**5 + 11*f**5 + 24*f**2 wrt f.\nAnswer: 1140*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.1 + -2.1. Let r = -3 - w. Suppose 5*c - 4 = -z, 3*z + c = 3 - 5. Put r, -0.2, z in ascending order.\nAnswer: z, -0.2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7167 + 7751. What is the greatest common divisor of x and 511?\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -500 - 503 + 4*d - 498 + 1115 - 501 + 887.\nAnswer: 4*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2402165 is divided by 2690?\nAnswer: 2685","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 398.809631 rounded to 0 decimal places?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -114510 - 4?\nAnswer: -114514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 653465 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -41, -92, -171, -284, -437, -636, -887?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-60)*-2)\/((-6)\/18)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 298170 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 149179039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5160*x = 4856*x - 7823*x - 225879 for x.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 40*i + 38*i + 2 - 6*i**3 - 86*i - 7*i**2. Let q(z) = -5*z**3 - 6*z**2 - 7*z + 2. Give -7*q(r) + 6*y(r).\nAnswer: -r**3 + r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 34*((-11)\/(-2) - (-3)\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5574818?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*u**2*x + 1063*u**2 - 12*x + 174 with respect to u.\nAnswer: -4*u*x + 2126*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 887338 a multiple of 722?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -227\/21 + 233\/21. What is the closest to -0.1 in 3, r, 6, 1\/11?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5529171?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9753089*i*n**3 - 2518815*i*n - 3*n**2 wrt n.\nAnswer: -58518534*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 0 + 1 - 7*v - 6. Let o(i) = -5*i - 1. Let b(p) = -6*p - 1. Let n(y) = 4*b(y) - 5*o(y). Determine k(f) + 5*n(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 1 - (-56 + (26 - -3) - -69)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 84303827?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put together 760919 and 0.12.\nAnswer: 760919.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 124 is divided by 53?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32173161 to the nearest integer?\nAnswer: 5672","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 4*c**2 - 5*c + 6. Let s = 44 + -49. Let k be p(s). Solve -2*y + 8 = -i, -4*y = 2*i - k*i - 20 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = 4*a + 326, 0 = -d + a + 58 + 262. Suppose 9*v = 372 - d. Solve -v*u = -16*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.56 + 0.14. Let q = m - 0.71. Round q to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -15*v. Let b(o) = 22*o. Let j(z) = 5*b(z) + 7*w(z). Let r(q) be the second derivative of 0*q**2 + 3*q + 0 - 3\/2*q**3. Determine 7*j(l) + 4*r(l).\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of b**4\/4 - b + 410. Let i(s) be the third derivative of s**6\/40 - s**3\/2 + 17*s**2. Determine -i(z) + 4*u(z).\nAnswer: z**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*d = -2*p - 53*d - 4, 3*p + d = 4 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 2*x - 10 = 0, -w = -0*w + 4*x + 5. Suppose -2*m - r + 17 = 2*m, 2*m - 1 = r. What is the second derivative of 4*c + 3*c**3 + m*c - w*c wrt c?\nAnswer: 18*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*sqrt(85)*2 + -6*sqrt(85)*-1)\/((-2*sqrt(4840))\/sqrt(8)))**2.\nAnswer: 1377\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (27\/(729\/72))\/(1\/(-6))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - (6 - 3)) + -10. Let c(o) = -3*o**3 + 2*o - 1. Let i be c(1). Let n be (i - -2) + (-3 - r). Solve -18 = 4*f + l - n, 2*l + 2 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 3, -4.3, -0.212 in decreasing order.\nAnswer: 3, 1\/5, -0.212, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Convert 72935.9l to millilitres.\nAnswer: 72935900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -535 + 629. Suppose 0 = c*q - 79*q - 4410. Does 12 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(35) - (sqrt(2835) + 2*sqrt(2835))) + sqrt(35))\/sqrt(5) + (sqrt(112) + -1 + sqrt(112) + 0)**2.\nAnswer: -41*sqrt(7) + 449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -14 - -11 - (0 + -9). Let s(g) = -9*g - 2. Let z be -26*((-15)\/6 + 2). Let l(u) = 4*u + 1. What is v*s(q) + z*l(q)?\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, w: 5, t: 2, l: 3}. Give prob of sequence tld.\nAnswer: 7\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 5 (b) 3 (c) -0.2 (d) 0 (e) -495\/38\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 47 - 28. Calculate the remainder when (-220)\/((-12)\/3) - 0 is divided by s.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (90\/(-25))\/(2*11\/(-55))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**2 - y. Let n = 29 + -30. Let u(g) = -10*g**2 - 11*g + 8. Let x(t) = n*u(t) - 3*d(t). Is x(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 100 = -3*d. Let q be ((-2)\/((-4)\/(-3)))\/((-138)\/184). Suppose -5*n - 16 = 2*a - 46, -5*n = -q*a + 50. Is a <= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b4 (base 12) to base 16\nAnswer: -88","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1971106*q**4 + 2682337.\nAnswer: 7884424*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 3, 26, 67, 132, 227, 358, 531, 752?\n\"Answer: r**3 + 3*r**2 + 7*r - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 + 2*k - 4. Let z(w) = -2*w**2 - 3*w + 3. Determine -4*a(b) - 3*z(b).\nAnswer: -2*b**2 + b + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**3\/7 - 64*q**2\/7 + 1938*q\/7.\nAnswer: -2*q*(q - 19)*(q + 51)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/8)\/(1\/(-2)). Let g = -623\/1060 - -11\/20. Which is bigger: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186452879 less than -324326?\nAnswer: -186777205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2*k = 7, 9 = -3*u + 5*k + 41. Is u a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11504*g - 5776*g - 5728*g - 23*g**3.\nAnswer: -23*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 3)*(1 - 6 + 3)*(1 - 4 + 1)*(4*y - y + 0*y)*(-2*y**3 + 5*y**2 - 5*y**2).\nAnswer: 24*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53*d + 3*h - 3 + 8 = 56*d - 7, 3*h + 0*h = -5*d + 4 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -92 or -17376?\nAnswer: -92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmxxxxxxummmxmuxxx. What is prob of sequence xmmm?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k**22)\/k*k*k\/(k**(-9\/2)*k)*k*k*(k\/(k\/(((k*((k**18*k)\/k)\/k*k*k*k*k*k)\/k)\/k)))\/(k*k**(-2\/17)) assuming k is positive.\nAnswer: k**(1721\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(1 + -11) + -1\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-23906)\/196 + 1098\/9.\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -198*x + 197*x = 8*s + 36, -2*s = -2*x + 18 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*n + 6814 - 6482 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 2*d**2)*(5*d**2 + 3 - 3 + 2) - 3*d**4 + 2*d**4 + 3*d**4 in the form f*d + h*d**3 + a + u*d**2 + k*d**4 and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 642*q. Let a(m) be the second derivative of 7*m**4\/12 - 2395*m. Calculate j(a(p)).\nAnswer: 4494*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x*(x*x**(-1))\/x*x*x*x*x*x**(-2)*x*x*x*(x**(-1\/4))**(-19\/5) assuming x is positive.\nAnswer: x**(119\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 95, -7563, -4, -1, 2, 4, 1 in increasing order.\nAnswer: -7563, -4, -1, 1, 2, 4, 95","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 175826*o**2. Let j(r) = 2846*r. Give j(x(d)).\nAnswer: 500400796*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/sqrt(3)*6 + (sqrt(17) + 0)*3.\nAnswer: 9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 10*w**3 - 5*w**2 - 595*w - 590. Determine h(-1).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of 5*r**2 - 5*r - 9. Let u(l) = 2*l - 1. Give 2*s(h) - 11*u(h).\nAnswer: -2*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -387107 divided by -7.\nAnswer: 55301","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3 - -5700316?\nAnswer: 5700320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3983*x**2 - 2131*x**2 - 1854*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8509879 - 268.7.\nAnswer: 8509610.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 203 is divided by 51.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 44*i**5 + 481088*i**4 + 1316430940*i**3 + 7646758648*i**2 + 10388856192*i - 2149581312 = 0.\nAnswer: -5464, -3, 2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1904134903 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together -169036 and 2.\nAnswer: -169034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 65187 and 28972?\nAnswer: 260748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -370 + 370. Sort -2\/11, -5, v, -0.2 in decreasing order.\nAnswer: v, -2\/11, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1101402 - 444?\nAnswer: 1100625","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1278792 - -2.6.\nAnswer: -1278789.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -344 - -750. Let p = 590 - c. Is 8 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -4*f**2 - 1. Let a be (68\/12 - 6) + 4\/(-6). Calculate s(a).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -36 + 43. What is the second derivative of -24*a**4 + a**4 - l*a - 27 + 27 wrt a?\nAnswer: -276*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*g - 37 = 73. Suppose -2*z + 1 - g = 0, 3323 = 5*u - 4*z. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54 + 3\/7*w**2 + 195\/7*w.\nAnswer: 3*(w + 2)*(w + 63)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:07 PM and 3:09 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, m: 2}. What is prob of sequence ooo?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36054.\nAnswer: 2, 3, 2003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 594 by -297.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 - -19. Suppose 12\/7*o - 18\/7 - 2\/7*o**j = 0. Calculate o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 4\/(-30) - (-106986)\/495?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + 0*m + m)*(-35 + 33 + 73).\nAnswer: -142*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -145 divided by -29\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13.96 - 13.76. What is the fourth smallest value in 0, -0.4, c, -1\/11?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 0 - 3 + 2*j + 3*j. What are the prime factors of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -32981, -131312, -295203, -524660, -819689, -1180296, -1606487, -2098268?\n\"Answer: -l**3 - 32774*l**2 - 2*l - 204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -42*z**2 - 2. Let i(v) = -42*v**2 - v - 3. What is -3*i(w) + 4*u(w)?\nAnswer: -42*w**2 + 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14 + 14294 + -20 + 5?\nAnswer: 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10018343 greater than 10018348?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.9, -4, -0.5, 0.4, -83?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -21 + 17 + (-9 - 2)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 u when four letters picked without replacement from {q: 7, u: 7}.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 13) in base 8?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 24 (b) -1 (c) 0.4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 697421?\nAnswer: 29, 24049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-12)\/(-40))\/(16\/((-4000)\/(-225))).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a - 30 = -24 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 5, f: 4, q: 7, p: 3}. Give prob of sequence pf.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -35*r - 600. Calculate k(-17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = -4*x + 52, 107*x - 2*g - 59 = 108*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 61*w + 13*w + 24*w to i + u*w and give u.\nAnswer: 98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, x: 2, v: 10}. What is prob of picking 2 v?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 352 and 66240.\nAnswer: 728640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 310*v + 1658*v + 403*v + 77 + 3049*v - 77.\nAnswer: 5420*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -906 and 0.4.\nAnswer: -362.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of o**4\/4 - 7*o**3\/3 + 7*o**2\/2 - 4*o - 2. Is a(6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3637011405?\nAnswer: 3, 5, 1129, 214763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the second derivative of x**4\/21 - 56*x**3 + 24696*x**2 - 2141*x. Factor b(h).\nAnswer: 4*(h - 294)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = 2*x - 114, -x + 3*t + 186 = 2*x. Suppose -53 = -4*j + x. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from sssssbbssssbbbbb. Give prob of sequence ssbb.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 1, t: 3, y: 3, h: 1, j: 2}. Give prob of picking 1 z, 1 n, and 2 y.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (127*r**2 - 127*r**2 - 28*r**3)*(-2 - 4 + 4) to w*r + s*r**2 + f*r**3 + k and give f.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -11.97851605 rounded to the nearest integer?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 389950?\nAnswer: -389949","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-9)\/(-18) + -1*(-1261)\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 651\nAnswer: 1\/217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8223 or 8224?\nAnswer: 8223","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16691\/1484 - 1\/371. Calculate the common denominator of 64\/21 and d.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-16)\/(-2)*(-149)\/(-149)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 2*x = i + 4, 2*x - 8 = 2*i. Let j be 2*(-6)\/(-8)*(-10)\/20. What is the third smallest value in -0.2, j, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13758\/19 + -724. Which is the second biggest value? (a) -2 (b) i (c) 0.2 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/3))**(-2\/21))**(-2\/33)*((u*u**(-5)*u)**(1\/35))**(-21\/2) assuming u is positive.\nAnswer: u**(18791\/20790)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-2)*((-629)\/(-34))\/((-799)\/(-188))\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/12 and 63\/178.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*(g*g**(-7)\/g)\/g))\/g**(-10))**(-6) assuming g is positive.\nAnswer: g**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8426, 17904, 27384, 36866, 46350, 55836, 65324?\n\"Answer: w**2 + 9475*w - 1050","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2476246852 to the power of 1\/6, to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from veoelleoeereveeeeee. Give prob of sequence lor.\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the first derivative of 0*r**2 + 0*r**4 + 70 + 43\/7*r**7 + 0*r**5 + 0*r - 67\/3*r**3 + 0*r**6. Find the third derivative of y(o) wrt o.\nAnswer: 5160*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45563*-0.4.\nAnswer: -18225.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 6\/44*5496\/(-458)\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:54 PM and 4:17 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 + 32*u + 118. What is x(30)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 3*d - 16, 3*d - 46 + 14 = -5*w. Solve -3 = y - k, 4*y + 12 - w = 2*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 32206?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -m = -5*o + 27, -3*o - m = -0*o - 13 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**2 + 3324*h + 2490813. Determine x(-1141).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -86 - -51. Let j be (-51)\/(-7) + 10\/y. Suppose -2*z - 5 = 4*u - 21, 5*z = u + j. Solve 0 = 2*o - z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 2347595659964\nAnswer: -2347595659963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 13 = 3*u - 3, -5*q - 20*u = 70 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.1, -1810, -0.3, 0.3, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 59*c - 26*z - 1192, 5*c - 69 = 5*c - 3*c + 3*z for c.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5033 take away -0.244934?\nAnswer: -0.258366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 144*s**3 + 2*s**2 + 2941. Let m(z) = -130*z**3 - 3*z**2 - 2942. Let i(n) = -2*m(n) - 3*y(n). Differentiate i(p) with respect to p.\nAnswer: -516*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51114421183 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*r**4 - 465\/4*r**3 + 19125\/4*r**2 - 84375\/4*r + 0 = 0.\nAnswer: 0, 5, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**5\/30 - 9*k**2. Let v(s) = 6*s**2. Give v(a(b)).\nAnswer: 24*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 311 + 308 + 299 - 34*m - 920 + 11*m.\nAnswer: -23*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 5) in base 8?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 3*y + 22 = 4, 4 = -4*y. Let q = o - -7. Let r be (-8)\/2 + 1 + 11. Solve 0 = -3*x - 4*u + 2, 0 = -2*x - 0*x + q*u - r for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v + 0*v = -24. Suppose -2*c = -7*c + 40. Let k = 12 - c. Sort k, v, -4 in ascending order.\nAnswer: -4, v, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 93.0006l to millilitres.\nAnswer: 93000.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -356.6318 rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 551218035 to the nearest integer?\nAnswer: 820","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 - 2b1cca4?\nAnswer: -2b1cca6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41609*o - 71516 = 42550*o for o.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/5 - 4\/15. Which is the second smallest value? (a) 3 (b) -1\/3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 62.01 - -0.99. Let i = p + -61. Suppose -r - 4*f = -1, r + f = 5*f + 1. Which is the biggest value? (a) 0 (b) r (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r + 2936*f - 1458*f - 1443*f = 41, 2*r = -5*f + 31 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the second derivative of 0*h**3 + 0*h**4 + 1\/10*h**6 + 0 - 26*h + 0*h**5 + 29\/2*h**2. What is the derivative of n(a) wrt a?\nAnswer: 12*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23010 is divided by 812.\nAnswer: 274","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3 + 21*g - 35 + 18 to the form t + w*g and give w.\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -0*w - 4*w. Suppose f + 0*f = w. Suppose 5*o = -3*y + 17, -f*o - 8 = 5*y - 23. Solve -4*s - o = -4*j, 0 = s + 4*j - 4 + 20 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*l**3 + 0*l**3 - 4*l**3 + (-2*l**3 + 4 - 4)*(4 - 4 - 2) - 1454*l**3 + 641*l**3 + 607*l**3 - 3*l**3 + 0*l**3 + l**3 - 4*l**3 + 2*l**3 + l**3.\nAnswer: -204*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12904 is divided by 21?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((50\/3)\/(-5))\/((-4)\/6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/66 - 165\/54) + 3.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 71721245 to the nearest integer?\nAnswer: 415","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*v + 9. Let y(l) = -l**2 + 7*l - 3. What is y(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**3 - 2*p**2 - 2*p - 3. Let d(h) = 7*h**3 + 24*h**2 + 21*h + 23. Let o(m) = d(m) + 6*s(m). Give o(-11).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -6764*d**2*z**2 + 10*d**2*z - 134*d**2 + 14*d*z + 5644106*z**2 wrt d?\nAnswer: -13528*z**2 + 20*z - 268","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 1916?\nAnswer: 5748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01426125 rounded to 5 decimal places?\nAnswer: -0.01426","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000206 to 7 decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -102*n**2 + 101*n**2 - 527426 + 527426.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x**3\/7 - 67164*x**2\/7 - 14921280*x\/7 - 823332400\/7 = 0. What is x?\nAnswer: -110, 17011","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 596*u**2 - 188471*u - 374550.\nAnswer: (u - 825)*(u + 2)*(u + 227)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Is 5742025943 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12\/1344*-24*2\/6\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 634 minutes before 7:12 PM?\nAnswer: 8:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -8*c**2 - 3*c. Let n be v(-2). Suppose 3*u - 16 = -49. Let t = u - n. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -50 and -15.\nAnswer: 750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1181414441?\nAnswer: 29, 40738429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i\/(i\/(i**15*i))*i**37*(i*i**11)\/i**(-15\/4) assuming i is positive.\nAnswer: i**(275\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 52657 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16614)\/18460)\/((-10)\/4 - -2)?\nAnswer: 9\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -12. Suppose 4*x - 9 - 179 = 3*r, -5*x + 204 = j*r. Suppose -4*v + 60 - x = 0. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 7\/(-35) - 11*(-1)\/5. Suppose 19 = c*j + 5*n - 2*n, j + 8 = 2*n. Suppose 5*w - j*w = 615. Is w a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12\/(-15)*(-10)\/(-4)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1789044 + 4?\nAnswer: 1789048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 761 + -757. Solve 2*c + 4 = 2*d - 2, 3 = c - t*d for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 + -10 + 9 - (46 + (-7 - -4))) + -4\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*h**3 - 416*h**2 - 816*h = 0. What is h?\nAnswer: -102, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*v - 171 + 2*v**2 + 51 - 19 + 0*v**2.\nAnswer: 2*v**2 - 3*v - 139","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -114 (base 7) in base 9?\nAnswer: -66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 20 - -8. Let o be (-4)\/z*(1 + 0). Let h = -0.3 - -0.1. Which is the second biggest value? (a) h (b) 2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 - -10. Calculate the greatest common factor of 1 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j. Let p(q) be the first derivative of 16*q**3\/3 - 10. Determine p(o(c)).\nAnswer: 64*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 190 = -5*n, 5*n + 173 = n - 5*g. Let h = n + 71. Suppose 2*s + 5*q = -2*s + 92, 0 = 3*s - 5*q - h. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*g - 181*g + 236*g = 312*g + 13104 for g.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - 22*c**2 - 20*c + 18. Let y = 54 + -75. Let w be z(y). Let g = 31 + w. Is g a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34.128587 * -0.09\nAnswer: -3.07157283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -144080 (base 9) to base 10\nAnswer: -88281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 60 = -10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**2 + 7*z - 5. What is f(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the second derivative of y**3\/3 - 21*y**2\/2 + 12*y. Let l be m(16). Suppose 13*t = l*t + 658. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2293 + 2878 = -45*l for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 2*k**2 - 1. What are the prime factors of r(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**3 - 7*x**2 - 15*x + 63. Determine y(8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 44*(-1)\/(-252) + 2\/(-7). Let j = 5 + 0. Which is the smallest value? (a) 6\/7 (b) w (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y - 20 = 4*t, 0 = -20324*y + 20319*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/12)*m**16 assuming m is positive.\nAnswer: m**(193\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*a + 0*a - 9*a - 24*a + 80*a.\nAnswer: 32*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/3 in -1\/5, 0.4, 7, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13 + -2017?\nAnswer: -202a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 3 (b) -1\/2 (c) -6 (d) 2\/5 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1030*x**4 - x**3 + 22*x**2 + 9*x - 3842483 wrt x?\nAnswer: -4120*x**3 - 3*x**2 + 44*x + 9","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10215 - -237?\nAnswer: -9978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from lvynvvylnv.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 - 8*u**2 - 8. Let y(x) = -2*x - 7. Let p be y(-6). Let n(v) = 8*v**3 + 5*v**2 + 5. Give p*s(j) + 8*n(j).\nAnswer: 4*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (14\/(-112))\/((-10)\/(-8)).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - s - 2*s - 12 = 0, -9 = -4*k - s. What is the closest to -0.1 in 4, -0.2, k?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30319623?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -737.82 to 0 dps.\nAnswer: -738","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 70870272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06259 to 3 dps.\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 4015*n - 4819*n + 2909*n in the form x*n + s and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) -1\/12 (b) 140 (c) 76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/25? (a) 2\/9 (b) 0.1 (c) -37\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 102*u**4 - 26*u**4 - 30*u**4 + (-4*u + 4*u - 3*u**3)*(3*u + 5*u + 2*u).\nAnswer: 16*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 4 + 1)*(v - 2*v + 14*v)*(-1 + 1 + 3) to a*v + m and give a.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 21065, 22375, 23687, 25001, 26317?\n\"Answer: q**2 + 1307*q + 19757","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.61169 rounded to 1 dp?\nAnswer: 2.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 155*j**2 + 159*j**2 - 307*j**2 to x*j + w + b*j**2 and give b.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + 25 = p - 20, 0 = -5*p + 5*s + 225. Calculate the remainder when p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*u**2 - 7 - 21*u**2 + 7.\nAnswer: -35*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**2 + 7*p + 4. Let w(j) = -j**2 - 3*j + 5. Suppose 0 = 2*f - 4*s - 12, -3*f + 4*s = -2*f - 10. Let g be w(f). Calculate t(g).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -6*a - 23. Let u be c(-4). Suppose -k = -u - 1, d = -3*k. What is the units digit of 2*2*(42\/d - -29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5855876?\nAnswer: 2, 13, 19, 5927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**4 + 11*i**4 - 5*i**4 + (-5*i**3 + 4*i**3 - i**3)*(-14*i - i + 44*i) to the form h + x*i + o*i**4 + j*i**3 + v*i**2 and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2046 + -2041. Suppose 0*i + x*i = -i. Solve -18\/5*b + i - 1\/10*b**3 + 6\/5*b**2 = 0 for b.\nAnswer: 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 AM and 3:22 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) -30 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -258241*m**2 + 130874*m**2 + 127367*m**2 + 15*m**3.\nAnswer: 15*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 11380 and 2136026?\nAnswer: 1138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1427, 1387, 1321, 1229?\nAnswer: 1111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -147, -35 in ascending order.\nAnswer: -147, -35, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = -a - 3, 2*u - 3*a + 7*a = 10 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (102\/12)\/((-3)\/12). Let s be n\/8 + (-1)\/(-4). Is (-3 - -5)\/(s\/(-38)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.49 + 2.49218. Round i to four dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2630*a + 3 + 2719*a - 4823*a)*(-6*a**2 + 2*a**2 + a**2) to w*a**2 + z*a + r*a**3 + c and give r.\nAnswer: -1578","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 10:06 PM?\nAnswer: 7:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-6)\/4 + 1298040261\/174. What is b rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*z + 62 = -3*t, 4*t = -2*z + 266. Let c = t + -57. List the prime factors of c.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 5:54 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s + 4 = 0. Let q = 1.4 + 0.6. Which is the biggest value? (a) 5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 15342476.181 and -0.344.\nAnswer: 15342475.837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 76 = 5*s, l + 0*s + 82 = s. Let f = 123 + l. Is f a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3 (b) 4\/3 (c) -0.07 (d) 2\/9 (e) -59\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 13) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x**3 + 205*x**2 + 62*x - 413. Give q(-68).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 418*b**3 + 3 + 0*b**2 - 3 - 10*b - 416*b**3 - 3*b**2 in the form u*b**2 + y + z*b**3 + r*b and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a second in milliseconds?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 1160937.\nAnswer: -1\/1160937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 43.1 - 353.1. Let t = -310.000127 - x. What is t rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i**2 + 2*i**2 + 2*i + 23*i.\nAnswer: -2*i**2 + 25*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a**2 + 3*a + 2255. Let d(k) = -13*k. Calculate d(r(t)).\nAnswer: 117*t**2 - 39*t - 29315","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*t - 222*t - 212*t - 168*t = -1352 for t.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + 1 + (-95 - -26) + (-30 - -30)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35613996 or -35613972?\nAnswer: -35613996","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 135.86 + -125.8. Let i = -4 + u. Let p = i - -0.94. Which is the closest to 1\/4? (a) 3 (b) 5 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 2*f - 3, 2*q + 2*f - 30 = -3*f. Suppose u + 8 = q*u. Let j = 55 - 37. What is the lowest common multiple of j and u?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 300531381 is divided by 100177124.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 24 = -4*s, -66*z + 65*z - 14 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 67\/21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 11102110 (base 3) in base 6?\nAnswer: 22533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(-1\/3))\/r*r*r)**(-40\/7)*(r**(-1\/2))**(-29))**(-1\/42) assuming r is positive.\nAnswer: r**(-1\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 6*-2*(sqrt(98) + (-3*sqrt(98))**2).\nAnswer: -10582 - 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 41 divide 1249639?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 - -8. Let k(z) = z**3 + 16*z**2 - 38*z - 34. Let h be ((-15)\/(-10))\/((-6)\/72). What is the remainder when f is divided by k(h)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -104 times 6?\nAnswer: -624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 120192\/88 - 4\/(-22). Let n = y - 495. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:22 AM and 9:56 AM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 12 - 8. Suppose -3*k = 2*k - 3*c, -t*k - 3*c = -27. Suppose 0 = -5*n - h + 25, 2*h - 11 = -4*n + k*h. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -658.7758 + 661. What is g rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 - 10*s - 2. Let t be z(4). Let i = t - -61. Let y = -11 + 27. Solve y = p + i*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13893 is divided by 481.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:26 PM and 3:29 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 212942 to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-12))\/((-435)\/(-62640))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -35, -2, 3 in descending order.\nAnswer: 3, -1, -2, -35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/(-140)*(27\/(-270))\/(2\/(-50)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 105.9784 centimeters?\nAnswer: 1059784000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 39 = -3*v, 0 = -2*n - 2*n + 3*v + 165. What is the highest common factor of 42 and n?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 12034 and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 126249.8 millennia in years?\nAnswer: 126249800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4564, 18259, 41096, 73081, 114220, 164519?\nAnswer: 223984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -h**2 - 1677 + 1677. Let k(l) = -24*l**2. Calculate k(t(a)).\nAnswer: -24*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g + 2*g + g + 2*g + 0 + 0 + 0 + 3*g + 0 + (5 - 3 - 4)*(-3*g - 2*g + 3*g) - 2 + 2 - 4*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27840 by -348.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 14 = -2. Let k(w) = 2*w**2 - 3*w + 3. What is the lowest common multiple of k(2) and x?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -9916, 5, -5 in decreasing order.\nAnswer: 5, -2, -5, -9916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*c - 1672 = -834*c for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 188 = -2*n, -255 - 22 = -3*g - 2*n. Suppose 5*a - g + 139 = 0. Let k be (-6)\/4*(160\/12)\/a. Solve -2*q = k*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 7*i**2 - 5*i + 4. What are the prime factors of l(-7)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes after 2:14 AM?\nAnswer: 6:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -538919*l**4 + 439*l**3 - 32932*l**2 - 2*l + 3177?\nAnswer: -12934056*l + 2634","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1798924 and 668?\nAnswer: 668","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -299962720 divided by -80\nAnswer: 3749534","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nlnnlnnllfnzflzllwx. What is prob of picking 1 x and 1 n?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes before 8:19 PM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5185*0.144.\nAnswer: 0.074664","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -502, -515, -522, -523, -518, -507?\nAnswer: -490","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-15)\/2)\/((-5313)\/8050) - (0 - -11)?\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 12\/(-2)*(35\/7)\/(-10). Let q(f) = -63*f**t + 128*f**3 - 2 - 2*f - 68*f**3 + 4*f**2. Calculate q(2).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(17) - sqrt(34)\/(sqrt(12)\/sqrt(6)) - sqrt(51)\/sqrt(147))**2*6.\nAnswer: -204\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2, -78, -220, -424, -690?\n\"Answer: -31*i**2 + 13*i + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2 + -6 + 2)*3. Let l be (-20)\/m*459\/45. Let p = l - 9. Is 2 at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**3 + 2*f**2 - 43*f - 23. Calculate y(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -5*j - 2. Let s(b) = 21*b + 91. Give -5*l(k) - s(k).\nAnswer: 4*k - 81","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i + 28*a + 49 = 20*a, -i - a - 8 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 1714*q**2 - 852*q**2 - 4*q + 4*q - 742*q**2. Let k(m) = -2*m**2. Give t(k(u)).\nAnswer: 480*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 30690317129 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -38*x. Let o(t) = 23*t. Let g(u) = o(u) + p(u). Let n(f) = f. Determine -g(k) - 2*n(k).\nAnswer: 13*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -80221.164 rounded to the nearest 10?\nAnswer: -80220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(2 + (0 - 3)). Let v(z) = z + 1. Let p(r) = 3*r**2 - r - 4. Let u(f) = t*p(f) + 4*v(f). Factor u(j).\nAnswer: 3*j*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/4, 2, 1\/14, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0.3. Let j = 239356 + -239355. What is the second biggest value in p, j, -0.3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 12521 + -50357\/4. Let j = l + 67. Let u = -11976 - -143575\/12. What is the common denominator of j and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 651000 to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/((d**7*d)\/d*d)*d**(-2\/5)*d**24*d*d\/(d\/(d*d\/d**13)) assuming d is positive.\nAnswer: d**(33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/845 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 8 = -5*v - 6, -40 = 4*m + 4*v. Let q(k) be the second derivative of k**5\/20 + 3*k**4\/4 - k**3\/6 - 9*k**2\/2 + 3*k. Calculate q(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14 = -x + 5*z, -24 + 20 = 2*z for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101627?\nAnswer: 101627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1, -8, 2, 2\/5, 6844?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6444 is divided by 3219.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -134001014 (base 5) in base 16?\nAnswer: -a7e12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -796 or 134?\nAnswer: -796","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2907366 divided by -46893\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.06, -1\/2, 4, 19, 0.3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - g**2 + 2*g**2 + 17 - 7.\nAnswer: g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = a - t - 144, -3*a = t - 418. Let n(v) = v**3 + 3*v**2 - 147*v + 208. Calculate the remainder when a is divided by n(10).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 + 8*d**2 - 8*d + 10. What are the prime factors of a(6)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 5 and -15925?\nAnswer: -79625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -135.2 and 1.\nAnswer: -135.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 10497040*g*o**2 + g*o + 26*g - 2*o + 746 wrt o.\nAnswer: 20994080*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(288) + (sqrt(288) + (4 + (sqrt(288) + 0 - sqrt(288)) + sqrt(288))**2 - sqrt(288)).\nAnswer: 108*sqrt(2) + 302","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 53 and 6.\nAnswer: 318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0\/8)\/1)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l - 2*l**3 + 0*l)*(-11 - 5*l**2 + 11).\nAnswer: 10*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + -6. Let i = -44 + 43. Let t be (0 - -2)\/(((-1)\/i)\/(-1)). Sort b, t, 3 in increasing order.\nAnswer: b, t, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -2*z**3 - 42*z**2 - 36*z + 104. Let h be r(-20). Solve h*t + 2*q = 27*t + 4, 0 = 3*t - 3*q + 3 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 152 divide 18510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 4*z**2 + 10*z + 70. Let r(y) = -y**2 - 2*y - 15. Let l(o) = 3*m(o) + 14*r(o). Let u(j) = -14*j**2. Give l(u(d)).\nAnswer: -392*d**4 - 28*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 95*r - 1. Let j = 72 + -71. What is the tens digit of f(j)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, 5, 136957 in increasing order.\nAnswer: 0.2, 5, 136957","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = r - 24, r + 21 + 0 = -5*a. Suppose 0*l - 5*l - r*z + 57 = 0, -l - 3*z = -7. Suppose -32 - l = -5*q. Is q a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 58 or 115\/2?\nAnswer: 115\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4160 and 69680.\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 11, 12, -9, 5 in ascending order.\nAnswer: -9, 1, 5, 11, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*k + 3*k + 185 = 0. List the prime factors of k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 - -50. What is the greatest common divisor of k and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.02 - 107094973329880?\nAnswer: -107094973329880.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 - 3*l - 4. Let o(q) = q**3 - q**2 + 1. Let b(f) = 9*f**3 + 4*f**2 + 12*f + 22. Let a(u) = b(u) - 5*o(u). Give -2*a(m) - 9*v(m).\nAnswer: m**3 + 3*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/4 - (-3)\/(-12). Suppose f*o - 24 = 24. Is 4 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 52*b - 668. What is r(22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 6*k + 64 = 0. Suppose -250 = 11*l - k*l. What is the remainder when l is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -588176 divided by 13\nAnswer: -588176\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -66190180.9999924 + 66190216. Let g = -35 + m. What is g rounded to six decimal places?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 18, k: 2}. Give prob of picking 2 a and 2 k.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000235 rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -0.2, 0.1 in decreasing order.\nAnswer: 0.1, -0.2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -168, -21 in ascending order.\nAnswer: -168, -21, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-67)\/((-10720)\/1040)*-4.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1319657 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -35*k + 39. Let h(i) = 57*i - 58. Let r(x) = 8*g(x) + 5*h(x). Determine r(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 582376433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 514999413?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -x**4\/4 - 17*x**3\/3 - 7*x**2 - 28*x - 1065. What is a(-16)?\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1549593 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*((-2 + sqrt(5))*4 - (sqrt(5) - sqrt(180))) + 5*((sqrt(5)*-2*2)**2 + sqrt(125) + sqrt(125) + -1).\nAnswer: 104*sqrt(5) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 48\/252*(-6)\/4.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-8)\/44 - 245\/(-55)*7. Suppose -26*p + z*p - 3125 = 0. Suppose 4*c + c = p. What are the prime factors of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) be the first derivative of -2703*y**4\/4 + 2*y**3\/3 + 77*y + 866. Find the third derivative of i(g) wrt g.\nAnswer: -16218","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/(-3))\/(-13)*12\/10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/9 (b) -5 (c) -69.4 (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 2662 = 2*z, 5*z - 6205 = x + 446. Is 43 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bsls when four letters picked without replacement from {g: 3, b: 2, l: 6, s: 2}?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6630 and 546.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9 + 343*f - f**2 - 4 - 124*f - 157*f to o*f**2 + y + n*f and give n.\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k = -47*k + 25. Does 5\/77 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 5. Let m be v(7). Suppose 0 = -4*n + 4*d + 64 - 16, -2*n - 3*d + 44 = 0. Let p = n + m. Calculate the lowest common multiple of 10 and p.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = h + 4. Suppose 2*g + 0*g + 10 = 2*o, 5*o = g + 5. What is the nearest to 2\/7 in 1, h, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d + 2. Let p be b(-7). Let u be (8\/(-10))\/1*p. List the prime factors of (u - 2)*(3 - 1).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 2 + 10 + 19*z**2.\nAnswer: 19*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2600 is divided by 648.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -93*i - 2. Let g be s(3). Let h = 484 + g. List the prime factors of h.\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 5*k = -184, -10 = o - k - 56. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-9) + 122\/18. Let h = s + 20. Is h a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(440)\/(sqrt(40)\/sqrt(4)) - (sqrt(2156)*-1 - sqrt(44)))\/((sqrt(12)*1)\/sqrt(3) - 1*sqrt(324))*2*-2.\nAnswer: 9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 204026 + -0.117493555.\nAnswer: 204025.882506445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = -2*a + 2*y + 5 + 3, 16*a - 21*a + 3*y + 28 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.5384 rounded to one decimal place?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -296183 (base 10) in base 13?\nAnswer: -a4a74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -561*t**2. Let q(l) = -2*l. Calculate z(q(i)).\nAnswer: -2244*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/13 in -1\/4, -3, -3\/5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 4 (c) 8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*p + 11*p - 84 = 0 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 4. Let n(g) = -2*g + 1 + 4*g + 11*g**2 - o*g**2 + 32*g**2. Is 17 a factor of n(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (30 + -59 + 54)?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 753061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((-3)\/49*-14)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -361, -519, -685, -865, -1065, -1291, -1549, -1845?\n\"Answer: -b**3 + 2*b**2 - 157*b - 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 126360 and 19184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 6:57 AM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 1385 = 3*s, s + 68*k = 69*k + 470. Calculate the remainder when s is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 36813, 73635, 110457, 147279?\n\"Answer: 36822*x - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.6 - -0.2. Let s = -0.2 - l. Suppose 30*q = 33*q. Which is the closest to q? (a) 3\/7 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) -70 (b) -4 (c) -0.2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 41915?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*((l**(1\/3)*l)\/l)\/l*l*l)**(4\/27))**9*((l\/(l*(l\/(l**(-2)\/l*l))\/l))\/l*l)**(2\/37)\/(l**(-1\/8)*l*l*l**(-1)) assuming l is positive.\nAnswer: l**(9221\/2664)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 50a8b (base 15) in base 8?\nAnswer: 763022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 11\/(-4)*28\/8 and -89\/10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-152)\/(-28) + -11 + 6 - 5556\/(-21). Solve 30 = -w*o + 260*o for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -107 and -4.51?\nAnswer: 102.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of -u**5\/20 + 7*u**4 - 83*u**3\/6 - 3104*u. Suppose g(z) = 0. Calculate z.\nAnswer: 0, 1, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51945272 is divided by 27.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 0.4723775 millennia?\nAnswer: 5668.53","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 9*g**2 + 9*g - 96. Calculate r(0).\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 588 and 80410\/137 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 21996 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 the remainder when 85723 is divided by 56.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 740.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 32756 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 53 - 5*n - n - 53 - 5*n.\nAnswer: -11*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**2*n)**(-13))**(-2\/103) assuming n is positive.\nAnswer: n**(78\/103)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 4, 5, 8, 0.1, -5, -56, 0.008?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 - (-2 - (-2 - -2 - 1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (1 + 2) - -4 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1932356\/(-1560))\/((-6)\/(-5)). Let h = y + 6173\/36. Let k = h - -224827\/260. Find the common denominator of k and 43\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -300b068?\nAnswer: -300b067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = -5*z + 21, b + 2*z - 11 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 1)*(-8 - 40*b + 6 + 3).\nAnswer: 40*b - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes after 3:13 PM?\nAnswer: 10:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7633270 is divided by 946.\nAnswer: 942","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2.05, -0.6, -2\/23, -107, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*u + 4*g - 8, 4*u + 4*g - 29 = 7*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 346 + 6782. Is b a multiple of 162?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 5*w = 7, -q = -3*q - 5*w + 12. Let n = 86 + -46. Sort n, -2, -3, q.\nAnswer: -3, -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 13187, 26358, 39529, 52700?\n\"Answer: 13171*t + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j + 15*j + 3*j - 8*j to the form b + c*j and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4538 = -271*i + 18359 for i.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -314888, -629769, -944652, -1259537, -1574424, -1889313?\n\"Answer: -i**2 - 314878*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13\/6 + -43\/18. Let n be 7\/3*(-14)\/49. Sort n, 2\/7, -4, m in ascending order.\nAnswer: -4, n, m, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -3*i - 10. Let c(m) = 4*m + 10. Let x(a) = 5*c(a) + 6*n(a). Let j be x(5). Factor 2\/3*d**3 - 1\/3*d**5 + 0 + 0*d**4 - 1\/3*d + j*d**2.\nAnswer: -d*(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 360 = 2*h - 358, -4*m - 5 = 5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 11 + -2 - (4 + 0). Solve l*n + 25 - 2 = r, 4*n = -r - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (297\/693)\/(8\/14). Let q = 1 + -2\/3. Suppose -2*f + 6*f = -4*g, 6 = -3*g - f. What is the closest to q in -2\/11, g, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1097 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 16*i**2 - 4*i + 2. Suppose 0 = 2*w - 6 + 2. Is x(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 0*o + o**2 - 2*o**2 + 4 + 5*o - o. Determine i(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/2*56\/420?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-15) + (-18)\/(-5). Let c be (-10)\/x*8\/(-10). Let l(y) = -2*y**c - 2 + 2*y**2 + y**2 + 6*y. Calculate l(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vgway. Give prob of picking 1 g and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 591? (a) 306 (b) 154 (c) 3\/4\nAnswer: a","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: Suppose -4*g + 5*b = -31, -3*g - 2*g + 5 = 5*b. Is 4 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 3899 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4\/5)\/((-2)\/(-180)) - -3. Let r = -20 + d. Let y = -59 + r. Which is the second smallest value? (a) -0.4 (b) y (c) 0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -209716548002.978 + -2?\nAnswer: -209716548004.978","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence lli when three letters picked without replacement from {r: 8, i: 4, l: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = 5*y. Sort -4, y, -2.\nAnswer: -4, -2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164477 is divided by 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12873 and 11697.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w**(-3\/11)\/w)\/(w**(1\/10)*w)*w\/(w*(w*w\/(w**(-1\/9)*w))\/w)*w*w**4 assuming w is positive.\nAnswer: w**(3481\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 344*z + 8. Let j be f(8). Round j to the nearest one hundred.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12 - 12 - 75461*y**3 + 75464*y**3.\nAnswer: 3*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(14\/13)\/b)\/(b**(-19)\/b*b*b))\/(b\/b**(-19)*b*b**(-19)))**(-8\/3) assuming b is positive.\nAnswer: b**(-1672\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t + 12. Suppose 2*s + 5*l - 13 = 23, s + 4*l = 24. What is the least common multiple of c(-6) and s?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -13*c**5 + 5*c**4 - 165*c**2 wrt c.\nAnswer: -780*c**2 + 120*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 1, f: 1, v: 2, y: 2, n: 2, s: 1}. What is prob of sequence sf?\nAnswer: 1\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 149\/4 + -37. Let s = 0 + -5. What is the nearest to -2 in 4, s, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/4256 and 83\/741?\nAnswer: 165984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 787391958 and 22?\nAnswer: 8661311538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-1*(-2)\/(-4)). Let a(d) = -2*d**2 - 3*d. Let n be a(-3). Let s(k) = k**3 + 8*k**2 - 10*k - 2. Let q be s(n). Solve q - j = c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25757 a multiple of 432?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -36 - -41. Suppose h*b = -5, -3*r = 5*b - 9*b - 9064. Round r to the nearest 100.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f**0\/f)**(-2\/7)\/(f**(-7)\/(f*f**(-7))))**(-6\/19))**(-22) assuming f is positive.\nAnswer: f**(1188\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -206 - -155 - ((35 - 33) + (4 - (0 + -2))).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.03 - -0.33. Let k = t - -0.2. Let a = 46728 + -46728.26. What is the third biggest value in 2\/19, a, k?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 9*t - 76. What is the tens digit of y(19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.80936124931 + 35?\nAnswer: 33.19063875069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 8\/(-72) + 1 + 23849\/(-9). Which is smaller: -2646 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -13720000 to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 41424.08 litres?\nAnswer: 41424080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.9 (b) 0.3 (c) 3 (d) -2 (e) -40 (f) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/4*((-22)\/3 + 2)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 127170 (base 8) to base 15\nAnswer: d379","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f + 3*f - 6*f)*(0*f**4 + f**4 - 2*f**4) + 2*f**5 - 3*f**5 + 0*f**5 + 43*f**5 + 8*f**5 + 3*f**5.\nAnswer: 55*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -56099*h + 416813?\nAnswer: -56099","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 13*s - 34 + 10 = -v + 9*s, -4*v + 174 = 26*s for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -316048628*i**3 - 6*i**2 - 26520749*i wrt i.\nAnswer: -1896291768","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 16 - 13 - 0\/2. Solve 2*g - 5 = -o*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -80 - 816 = -4*b. Suppose 3*g + b = -5*g. Let o = -2 - g. What is the remainder when 73 is divided by o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26775731401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**3 - o**2 + o - 1. Let k(p) = 6*p**2 - 18*p + 4*p - 5*p**3 + 8*p + 6. Let r(x) = x**3 - x**2 - 6. Let f be r(0). Give f*g(v) - k(v).\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 44400223 + 0?\nAnswer: 44400223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17558?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 653287285 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ppwppppwppwppppppppp. Give prob of picking 2 p and 1 w.\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2340 and 116561640.\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.017567 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*g - 4*g. What is the least common multiple of 6 and -1 - (0 - (4 - g))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2995 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/228*(-152)\/8*(-20)\/3?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -30*n + 479. Let c be k(36). Is -603 at least c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - 76*g**2 + 35*g - 2629. What is y(76)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3953263 to the nearest integer?\nAnswer: 1988","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 6 - 463714?\nAnswer: -463708","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n - 0*n + 1. Let k be (2 - 4 - n)*0. Solve k - 4\/3*u - 7*u**3 + 8*u**2 - 49\/3*u**4 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (18\/12)\/(6\/(-32)). Let s = 10 + t. Solve -s*m - 3 = -3*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 - -44. Let z(a) = 45*a + 2. Is z(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*w - 15 = 0, 45*w + 35 = 5*m + 50*w for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fourty-three thirds of a decade?\nAnswer: 1720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 15 = -3*g + 4, 11 = 5*g + z. Let a(x) = -x**2 + 7*x - 4. Calculate a(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o**2 + 17*o - 268. Let w be r(10). Solve -3*p = 0, w = 4*h - 2*p - 2 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 17*y - 8. Let h(f) be the second derivative of f**3\/6 - 5*f. Let x(r) = -3*h(r) + m(r). Is x(11) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**2. Let z(l) = 12*l**2 - 1818*l. What is z(y(v))?\nAnswer: 48*v**4 - 3636*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2e1 + -2?\nAnswer: 2df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12022112 - -2?\nAnswer: -12022110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rj when two letters picked without replacement from {x: 7, s: 1, r: 4, m: 2, j: 1, z: 3}.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(3*sqrt(204) + sqrt(204)))\/sqrt(12) + ((sqrt(153) + sqrt(153) + 2 + sqrt(153))**2 - (sqrt(153) + -1 - sqrt(153) - sqrt(153))).\nAnswer: 19*sqrt(17) + 1382","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + 5*x + 5, 1913*f + 4*x = 1910*f - 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-77385)\/1100 - -67) + (-2)\/(-20).\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3986940 rounded to the nearest one hundred thousand?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-5)\/(-10))\/((-3)\/54). Let i = 3 + m. Let z(t) = t**2 + 8*t + 8. Give z(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 9415877 to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 58305 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.459 less than 2?\nAnswer: 2.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/(-6))\/((-288)\/27)*18 and 232\/(-140)*3*(-30)\/(-24).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11 + -1. Let l(m) = d*m + 9*m - 8*m - 32*m. Let z(s) = -17*s. Let w(i) = -31*i. Let t(j) = 6*w(j) - 11*z(j). Determine l(t(v)).\nAnswer: -21*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*y + 3*y + 154. Calculate the smallest common multiple of y and 21.\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595.9 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 119*j - 1565. Give h(10).\nAnswer: -375","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20079 and 25463277?\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the third derivative of -736*a**7\/21 + 613*a**3 + 2*a**2 - 16*a + 12. Differentiate p(g) wrt g.\nAnswer: -29440*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes after 10:02 PM?\nAnswer: 2:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {g: 6, m: 4}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i**2 + 3*i**2 + i**2)*(3*i**2 - 3*i**2 - 2*i**2) + 0*i**4 + i**4 + 0*i**4)*(2 - 3 - 10)*(6*i - 2*i - 2*i).\nAnswer: 66*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 (base 11) in base 3?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.7*0.15602743\nAnswer: -0.109219201","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 22cac - 12?\nAnswer: 22c9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 5 (b) -4 (c) -93\/7 (d) 5\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.1945792 rounded to 0 dps?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + i = -3236, -1205 + 133 = z - 3*i. What is the remainder when z\/(-33)*((-15)\/(-2))\/5 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -75100000 to the nearest 1000000.\nAnswer: -75000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 27 - 11. Suppose c = w - 34. Suppose t = 33 + w. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 73*i + 5 - 4*i.\nAnswer: -77*i + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do -2766581 and -16599491\/6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 35 and 42.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2742 - -8.\nAnswer: -2734","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -48 + 125. What is the remainder when 846 is divided by u?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0239905476 to 5 dps.\nAnswer: 0.02399","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16939 and 78?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0\/(-46))\/(3 - 13).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92 in 2\/9, -0.2, 1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -14*y + 14*y - 3*y**3 + (5*y + 0*y - 4*y)*(2*y**2 - 3 + 3).\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/108)\/(1\/(-3)). Let s = 0.044 - 0.444. Which is the nearest to -0.1? (a) m (b) s (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrrer. What is prob of sequence rre?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1235 and 2945?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -40.3 - -39. Let x = 0.9 + n. Let y be 1\/(1\/10*2). Which is the second smallest value? (a) x (b) y (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, w: 2, k: 2}. What is prob of picking 1 w and 1 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d - 165693 + 165689 = 5*s, 0 = -2*d + 2*s + 24 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1153967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1736 and 13144.\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 93293084 to the nearest integer?\nAnswer: 454","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -3*t**2 + 76*t - 409. Let x be h(8). Solve 3*u + 3*l = 15, 0 = -12*u + x*u + 3*l + 25 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that 42*w - w**5 + 5*w**4 - 3 - 2*w**2 - 6*w**3 - 35*w + 0*w**2 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 573 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3 + 2625*h**2 + 169912*h - 1526784.\nAnswer: -(h - 2688)*(h - 8)*(h + 71)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 968 is divided by 933.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 8 = 14 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*y**3 + 7*y**2 + 3*y**2 + 3*y**3 + 7*y**2 + 309*y + 267*y wrt y?\nAnswer: 6*y + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 825 is divided by (-414)\/27*((-7)\/2 + (-10 - -9)).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-4))\/(9\/12). Let g = -265 + 269. Which is the closest to v? (a) -5 (b) g (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-1)*(-17)\/34?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 7*d**2 + d. Let c be z(-1). Let s(j) = -j**3 - 8*j**2 - 6*j + 10. Let t be s(-7). Solve -t*h + c*h + 15 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 8*p**2 + 8*p - 4. Let v = 542 - 521. Suppose -v*j + 56 = -91. Calculate t(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 s, and 1 d when three letters picked without replacement from {d: 2, c: 3, s: 4, g: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 86140 and -8.38.\nAnswer: 86131.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.8+47948579620\nAnswer: 47948579620.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*a**2*j + 8*a**2 - 3*j**4 + 2820*j + 57105 with respect to j.\nAnswer: -40*a**2 - 12*j**3 + 2820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -8*z**3 + z**2 + z - 1. Let d(h) = 46*h**3 - 2*h**2 - 5*h + 12. Calculate -6*a(v) - d(v).\nAnswer: 2*v**3 - 4*v**2 - v - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.4 + -0.7. Let n = 3.5 - -1.8. Let t = p + n. Which is the third biggest value? (a) t (b) 0.1 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3743 + 35*q**2 + 3*q**3 - 2043 + 135*q**2 + 3648 wrt q?\nAnswer: 9*q**2 + 340*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -16 + 2 + -3 + 4\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55552.\nAnswer: 2, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1030 - -1032. Put -3, -1, -2, u in descending order.\nAnswer: u, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (v**2 + 0*v + 0*v)*(225*v**2 - 118*v**2 + 162 - 112*v**2 + 2*v) as s*v + l*v**2 + h*v**4 + x + t*v**3 and give h.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 15859 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3527 * -0.0358\nAnswer: -126.2666","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1302041687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o. Let q be v(4). What is the greatest common divisor of 4 and q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 32*w**2 + 12*w + 12. Let f(d) = -5*d**2 - 2*d - 2. Let g(m) = 39*f(m) + 6*x(m). Let s(y) = -5 - 2*y - 3*y + 0*y - 2*y**2. Give 5*g(r) - 6*s(r).\nAnswer: -3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1533173\/6 - -251864. Let j = -3641 - b. What is the common denominator of (-4)\/(-22) + (-273)\/110 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1183282 by -19.\nAnswer: -62278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-3)\/24)\/(3\/24). Which is the smallest value? (a) -1825 (b) 1\/4 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*n + 0*n + n - 4*n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*w + 16 + 0 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614 is divided by 88.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15050986.4 rounded to the nearest 1000?\nAnswer: -15051000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -101301 (base 4) to base 10\nAnswer: -1137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1388*j - 8440 = 966*j for j.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (8\/(-10))\/((-134)\/6365). Solve m*p = 51*p - 78 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -11. Let m(z) = -z**2 + z - 1. Let r(h) = -h**4 + 0*h**3 + 1 - h**2 + 0*h**3 + h. Let i(l) = q*m(l) - r(l). Differentiate i(s) wrt s.\nAnswer: 4*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**3\/2 + 345*q**2\/2 + 850*q.\nAnswer: q*(q + 5)*(q + 340)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*r**3 - 3*r**4 - 20*r**3 + 14*r**3 + r)*(13 + 9*r - 13).\nAnswer: -27*r**5 - 135*r**4 + 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11121011 - 21?\nAnswer: -11121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f - 289*f**2 - 287*f**2 + 841*f**2 - 262*f**2.\nAnswer: 3*f**2 + 3*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -885, -875, -837, -753, -605, -375, -45, 403?\n\"Answer: 3*q**3 - 4*q**2 + q - 885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -422331013 + 0?\nAnswer: -422331013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23548 is divided by 4709.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 20230, 3 in descending order.\nAnswer: 20230, 3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 44. What is the remainder when 48 is divided by z(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 554, 2227, 5022, 8945, 14002, 20199, 27542, 36037?\nAnswer: 45690","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 597, 1020, 1443?\n\"Answer: 423*n + 174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1724220 and 0.26.\nAnswer: -448297.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = f**3 + 3*f**2 - 5*f + 1. Let q be l(-4). Let y(u) = 7 - q*u + 7 + 2*u**2 + 10*u. Is y(-6) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4990, 5939, 6888, 7837, 8786, 9735?\n\"Answer: 949*x + 4041","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 8584.084 milliseconds?\nAnswer: 8584084000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 42\/9 - (-3)\/9. Suppose -2*t - 2*x = 0, 3*x - j*x = 3*t - 2. Let s = t - 1. Calculate the remainder when s is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*b**4 + 9*b**3 - 2*b**2 + 6242*b + 259586.\nAnswer: -8*b**3 + 27*b**2 - 4*b + 6242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(672))\/(sqrt(6) - (sqrt(24)*4 + sqrt(6) - sqrt(6))) - (-2 + 0 + (sqrt(7) - -2*sqrt(7)) + 0).\nAnswer: -29*sqrt(7)\/7 + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -15296664 divided by 7648332?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -1.7 times -2007\nAnswer: 3411.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*-8838.\nAnswer: 17676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 - -0.2. Let i = -0.13 - x. Let b = i - -2.53. Round b to zero decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7055640 a multiple of 1692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 638921869?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 63 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 4809?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1*((-8)\/20 - 219\/15). Solve -2*o + 5 = -d, 2*o + 2*d - 5 = s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 635369883 divided by 5883?\nAnswer: 108001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1018*n - 19320. Give l(19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let i(k) = 2*k**2 - k + 1. Suppose 5*u - 16 = 13*u. What is u*w(v) - i(v)?\nAnswer: -2*v**2 + 3*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 1381 = -3*t + 4*j, -4*t + 5448 = 3*j. List the prime factors of t.\nAnswer: 3, 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 7*k**2 - 8*k - 6*k**2 - 7 - 12. Let j be h(8). Which is bigger: j or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 minutes after 3:56 PM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11175 and 75.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133*i - 248*i + 120*i - 2*t - 19 - 25 = 0, 0 = -3*t - 66 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 15 = -3*x. Suppose -4*r = 2*z + 12, 4*r + 17 = x*z + 89. Let w be z\/18*9\/(-2). Solve 0 = 4*j - w*j + 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38 - (-48 - -48 - (1 + -15)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + t - 42 = 25, -173 = -5*f + 3*t. Let z be 2\/((-8)\/(-10))*f. Let a be 1\/(-7*(-5)\/1190). Calculate the greatest common divisor of z and a.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 322 and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4036*k + 24079. Let a(x) = -2019*x + 12022. Let j(t) = 9*a(t) - 5*h(t). Differentiate j(i) with respect to i.\nAnswer: 2009","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 88 and 375876?\nAnswer: 8269272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**3 - 7*n**2 + 6*n + 14. Let d be w(-7). Let q = 32 + d. Suppose 4*g - 50 = -q*c + 94, c + 124 = 3*g. Is g a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -3*z + 19, -l - 4*l = -5*z + 35. Let n be (-1)\/z - 618\/(-15). Suppose p = 4*t + n, -130 = -6*p + p + 5*t. Does 6 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**2 + 40*j - 241. What is m(33)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*g + 104 + 226 = 0. What is the remainder when g is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 0 - 5 + h**2 + 0*h - h + 4*h. Let q be l(-5). Suppose -5*v + 8500020 = -q*i, 5*v + 3399980 = -0*i - 2*i. Round i to the nearest 1000000.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 541531887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonoooo. What is prob of picking 1 n and 2 o?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 861252 - 489485. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3086008889 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 3*x - 33. Let y(r) = -r + 1. Calculate f(d) + 2*y(d).\nAnswer: d - 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6026831 is divided by 756?\nAnswer: 755","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 + 7*d + 3. Let r be v(6). Suppose -r = 9*w - 6*w. Let k be 3 - 2 - 1*w. Which is smaller: k or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 AM and 7:53 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-120)\/5100*17)\/((8\/(-4))\/(-4))?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -488 - -518 - (79 - (4 - 4))?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40)*-3 + sqrt(40))\/sqrt(5)*-1*-2)\/((-1*sqrt(5324))\/(sqrt(275) + (sqrt(275)*1 - sqrt(275)))).\nAnswer: 20*sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2044.6.\nAnswer: 2044.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + -8. Let f be 84\/20 + 2\/d. Factor -2\/7*u + 4\/7*u**2 + 2\/7*u**5 + 0*u**3 - 4\/7*u**f + 0.\nAnswer: 2*u*(u - 1)**3*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 202\/3 - 67. Let r = 29.81 + -30. Let u = 0.81 - r. Which is the third biggest value? (a) v (b) u (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the third derivative of v**6\/120 + v**5\/60 - 13*v**4\/24 + 11*v**3\/6 - 5355*v**2. What is p(2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10187 - -24794. Let m = -6800 + x. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 40 - 7?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -13\/16 and 37\/848.\nAnswer: 848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -104*a + 399. Is k(-21) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22456 - -22459. Solve -o = -623*k + 624*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 15483753?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 31*g - 12. Let j be a(5). Calculate the highest common divisor of j and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 64*d**3 - 9*d**4 + 20*d**5 + 6*d**4 - 65*d**4 - 16*d**2 = 0.\nAnswer: 0, 2\/5, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8160 and 14?\nAnswer: 57120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(204) + sqrt(204) + sqrt(204)*1)*-4)\/sqrt(12))*-6.\nAnswer: 18 + 72*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -39498893*f - 65874886 wrt f.\nAnswer: -39498893","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24420 + 24420.03. Put -0.2, 336, o in ascending order.\nAnswer: -0.2, o, 336","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1030.719 and -6.9.\nAnswer: 7111.9611","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3818 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: In base 11, what is 4216 - 3?\nAnswer: 4213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 1:36 PM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 128957 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(0 - 1\/(-2)). Suppose 4*h = 12, h + 10 = -b + 5*h. Suppose -b*v + 16 = 6. Sort g, v, 0 in decreasing order.\nAnswer: v, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 105100000 to the nearest one million.\nAnswer: 105000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-120)\/16)\/((-2)\/16). Suppose q = 2*v - 0*v. Let m be ((-5)\/(v\/8))\/1. Put 0.3, -3, m in decreasing order.\nAnswer: 0.3, m, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-6)*z**(-5))**(12\/19) assuming z is positive.\nAnswer: z**(-132\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57 - 49 + 4*l - 58 + 219 - 55.\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 52 + -12. Let u(n) = 2*n**2 + n - 103. Let i be u(-9). What is the units digit of d\/i + 331\/5?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*q + q - 2*c - 7, -2*c = 4*q - 20. Suppose q*d = -0*d + 3. Which is smaller: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5125 is divided by 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is (1114\/8)\/((-28)\/(-784)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 9, 3.5, 4557?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a - 2*a + 4*a)*(a + 0*a - 2*a) + 10*a**2 - 90*a**2 - 72*a**2.\nAnswer: -154*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -4 * -1584\nAnswer: 6336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 4*z = -4, 5*m = -2*z - 74 + 76. Solve 2*g = -5*d - 27, -d + 4*d + 2*g + 17 = m for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1235 - -3862. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -0.3 (b) 2 (c) 1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.3 - -47.3. Let n = 39.784 - r. Round n to two decimal places.\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 + -4.1. Let g = -9 - v. Which is the third smallest value? (a) 0.4 (b) -4 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*m + 22 = 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 4*d - 6. Suppose -3*x - 11 = -3*v - 2*v, -v + 1 = 0. Let c(n) = 5*n - 7. What is x*c(b) + 3*m(b)?\nAnswer: 2*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = s**3 - 2*s**2 - 12*s + 7. Suppose 110 = 28*q - 6*q. Calculate the lowest common multiple of (-15)\/(-20) + (-50)\/(-8) and v(q).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 896*j. Let m(d) = -27*d - 5. Let p(h) = 76*h + 14. Let n(z) = 14*m(z) + 5*p(z). Determine r(n(a)).\nAnswer: 1792*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*p - 37, 26*p + 4*m - 22 = 23*p. Solve -f + p*u = 16*u + 4, 3*f + 3*u + 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 n when two letters picked without replacement from {b: 2, y: 7, n: 1}.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three sixteenths of a kilometer in centimeters?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04098 and -0.0429.\nAnswer: -0.001758042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1231851 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2286 - 2275. Suppose 0*k + 3*k + 3*f - 261 = 0, -3 = 3*f. What is the greatest common factor of o and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24023 (base 9) to base 16\nAnswer: -3ebb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + (1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 878?\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-57)\/(0 + (-360)\/(-16) + -9) - -4\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23 = -5*f + 12. Let h = 70 - 98. Let k be (-1 + 2)\/((-4)\/h). What is the greatest common divisor of k and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5927700 to the nearest integer?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -135*m - 366 - 309 = 0 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1567555?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2*y + 474 = -o, 2*y + 111 = o. Let x = o - 64. Suppose 174 = 7*n - x. Does 11 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -56 + 57. Let h(f) = 6*f - 4*f - f + f + 2*f**2. Let k(n) = -11*n - 9. Let g(a) = 5*a + 4. Let w(j) = -9*g(j) - 4*k(j). Calculate d*h(b) + 3*w(b).\nAnswer: 2*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -2*l**3 - 10*l**2 - 3*l. Determine a(-5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 73\/5 of a minute in seconds?\nAnswer: 876","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -139636, -558614, -1256908, -2234512, -3491420?\nAnswer: -5027626","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(190)*1 - sqrt(190)) + sqrt(190) + (2*sqrt(190) + sqrt(190))*4)\/((sqrt(60) + sqrt(2160)*1)\/sqrt(6)).\nAnswer: 13*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2 - 4)*(3 - 3 - y)*((-2*y + 2*y + 2*y)*(-1 + 3 - 3)*(-263*y - 473*y - 2669*y) - 2*y**2 + 4 - 4).\nAnswer: -6808*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 3*m + 16 = 0. Suppose 5*w - 3*j + 2 = 16, -m = -4*j. Suppose -w*q + 8 + 24 = 0. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 628726?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*j - 20, 3*z + z - 20 = -j. What is the second derivative of 6*g + g**2 + 3*g**2 + j*g**2 + 2*g wrt g?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1024*c**4 + 5220416*c**3 - 5545601*c**2 + 331306*c - 5097 = 0. What is c?\nAnswer: 1\/32, 1, 5097","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -64*a**2 - 18*a**2 + a**2.\nAnswer: -81*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101750?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -636*l**2 + 4175*l**2 + 3952*l**2 - 1430*l**2 + 37*l**2. Let t(y) = -2*y**2. Give t(m(z)).\nAnswer: -74371208*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -2*a + 8. Let w(v) = 4*v - 17. Determine -5*f(t) - 3*w(t).\nAnswer: -2*t + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 8737, 17499, 26311, 35173?\nAnswer: 44085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 78 and 7.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124*w - 56 = -138*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 67 + -36. Let c = 33994 + -33982. What is the remainder when t is divided by c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 199 a factor of 6801223?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**2 + 17866826*m + 196534844.\nAnswer: 2*(m + 11)*(m + 8933402)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -0.41, -87, 2, -69\/2?\nAnswer: -0.41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -421761839, -421761829, -421761797, -421761731, -421761619, -421761449?\n\"Answer: 2*a**3 - a**2 - a - 421761839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111 - 101000111010000010011001?\nAnswer: -101000111010000010100000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*j**2 - 109*j**2 - 46*j**2 - 4 + 3.\nAnswer: -217*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0, -11, 393, 0.16, 1\/3, -7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1161721951?\nAnswer: 13, 71, 1258637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c\/(c*c**(-2\/7))*(c**(-1\/3)\/c)\/c)**(15\/4)*(c**(1\/6)\/c*c**(-2\/9))\/(c**(1\/4)\/c*c**6*c) assuming c is positive.\nAnswer: c**(-2831\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, t: 1, y: 1, j: 2}. Give prob of sequence eet.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 272 = -5*v, 0*v = -2*w + 4*v + 182. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 140 + -301. Let g = t - -100. Let l = g - -65. Let k(w) = -w**2 + 4*w + 2. What is k(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 47*h - 27*h - 29*h - 274 + 33*h - 27*h as i*h + b and give b.\nAnswer: -274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 5*h + 18. Suppose 1086 = 99*u + 82*u. Let q(g) = -9*g - 35. What is u*q(z) + 11*c(z)?\nAnswer: z - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (2*(sqrt(931) + (sqrt(931) - (sqrt(931) - 5*sqrt(931)*5))) - ((1 + sqrt(931))*-3 - (1 + sqrt(931) + -1)))**2*-1.\nAnswer: -2919626 - 2352*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 50.996 - 51. Let k = b - -0.004. Let q = -0.000114 - k. Round q to five dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (sqrt(4032) - 3*sqrt(4032)))**2.\nAnswer: 384*sqrt(7) + 16144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/20 and -28\/4854305?\nAnswer: 19417220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -108*c**3 + 532*c**2 + 2632*c + 192.\nAnswer: -4*(c - 8)*(c + 3)*(27*c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/7? (a) -63 (b) -3\/5 (c) 5 (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -8*f**3 - 2*f + 2. Let k(h) = -h**3 + 1. What is 2*k(a) - l(a)?\nAnswer: 6*a**3 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -23, -43, -75, -119, -175, -243, -323?\nAnswer: -415","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 1*1218\/3 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6e1 (base 15) to base 5\nAnswer: -22221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 68942984450*s**5\/13 + 137884483580*s**4\/13 - 3929753084282*s**3\/13 + 3723005823556*s**2\/13 - 80207736*s\/13 + 432\/13 = 0. What is s?\nAnswer: -9, 2\/185665, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 0*g**2 - g**2 + 2*g**2. Suppose 55*t - 570 = 40*t. Let w(n) = -13*n**2 + t*n**2 + n - 24*n**2. Give 3*u(i) - 2*w(i).\nAnswer: i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -436, -987, -1760, -2755, -3972, -5411?\nAnswer: -7072","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -11744 + 11745. Which is the closest to w? (a) 0 (b) 2\/7 (c) -520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3719*v = -3724*v - 3*w, 5*v = -2*w - 5 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -j**2\/2 - 24*j + 49\/2 = 0.\nAnswer: -49, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -3*i - 3*u, 0 = -6*i + 4*i + 2*u + 12. Suppose -i*y = -5*p + 35, -5*y + 4*y = p + 7. Which is smaller: y or -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s = -5*z - 3*s + 28, -s + 1 = 0. Solve -2*g + z*g = 0 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 8*w. Determine f(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j**3 + 8*j**2 - 212*j + 360 = 0.\nAnswer: -9, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:54 AM?\nAnswer: 5:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**2 - t + 2. Let k be j(6). Let c(g) = -2*g**3 - 5*g - 5. Let q be c(-2). Let l = k - q. Is l a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*o**3 + 18*o - 3*o - 15*o.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 6:28 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -705*z - 3*f - 62 = -700*z, -2*f + 62 = -7*z for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**2 + 19*p - 229. Calculate g(-25).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 682*q + 2 - 2 - 337*q + 642*q.\nAnswer: 987*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -55.9383 - 13.35.\nAnswer: -69.2883","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -f + 2 - 10*f**4 + 2*f**4 - 1 - 13*f**4 - f**2 + 2*f in the form w*f**2 + v + c*f**3 + o*f + m*f**4 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-92)\/11 + 408\/(-88) + 5?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 144, 81, -24, -171, -360, -591, -864?\nAnswer: -1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-2)\/(-5*(34\/10 - 3)). Is b + 1 - (183*9)\/(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 509785 is divided by 7050.\nAnswer: 2185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 2 d when four letters picked without replacement from {u: 8, s: 7, d: 5}?\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in twenty-one halves of a day?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72 is divided by 27.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/47646 and -59\/21176.\nAnswer: 190584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 = 4416?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -9483b7?\nAnswer: -9483b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and 375249515.\nAnswer: 375249518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((5*sqrt(84))\/sqrt(6))\/sqrt(2)*2)**2.\nAnswer: 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + 616?\nAnswer: 629","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*w**2 + 0*w**2 + 8*w**2 - 5*w**2.\nAnswer: 5*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -99*j + 26 = -86*j. Solve y = 5*v + 2, -j*y - 3*v - 5 = -4*v for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 4*r + 80, -r + 12795 = 12796 for i.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 20 = k. Suppose 7*z = 46*z + 188*z + 227. Let h = 5 - 9. Sort h, k, z in decreasing order.\nAnswer: k, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the second derivative of y**3\/6 - 2*y. Let f(u) = -2033*u + 1025*u - 4*u**2 + 3*u**2 + 1030*u. Calculate k(f(q)).\nAnswer: -q**2 + 22*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3480, -7056, -13022, -21384, -32148, -45320, -60906?\nAnswer: -78912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 39.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -62400, -124847, -187280, -249693, -312080?\nAnswer: -374435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2459 - 2459.18757. What is p rounded to two decimal places?\nAnswer: -0.19","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 132108895 and 115?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 759643 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 54 = -m - m, -5*m + 60 = -3*k. Let l be (15 + k)\/(-1 - -3). What is the third derivative of 5*w**2 + l*w**2 + w**3 - 9*w**2 wrt w?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 - 3*h**3 + 7*h**3 + h**3.\nAnswer: 7*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.685 - 1.785. Which is the third biggest value? (a) l (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 13856\/816 + -16)\/(2\/18).\nAnswer: -3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261809279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -901995 divided by -21?\nAnswer: 300665\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 9975.413l in millilitres?\nAnswer: 9975413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 14*a - 10. Let r be v(15). Suppose 0*k = r*k - 50. Solve 0 = 5*q - k for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*f**3 + 622 + f**3 - 622 - 2*f**3.\nAnswer: 2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((30\/(-5))\/(-2))\/((-15)\/(-2))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 504 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 37\/((-2664)\/(-75)) - (84\/(-36) - -5)?\nAnswer: -13\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z + 0 + 0)*(z**2 + 5*z - 5*z) + 3*z - 2 - z**3 - 1 - 4*z.\nAnswer: z**3 - z - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t - 2*r + 2, -4 + 20 = 4*t + 4*r. Suppose 3*a + t*a = 1830. Let u = a - -361. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/8*(-72)\/(-63). Let i = 57 - -84. Let k = -138 + i. What is the nearest to j in k, 2, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 + 6 = -7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 2 + (5*((sqrt(360) - (sqrt(360) + -1*sqrt(360) + sqrt(360))) + sqrt(360)))\/((sqrt(270)\/(sqrt(9)*2) - sqrt(30))\/sqrt(6)).\nAnswer: -60*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/60 + w**4\/3 + 7*w**3\/6 - 7*w**2. Let s be f(-7). What are the prime factors of (s + (-1)\/(-4))*116?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61241 or -61253?\nAnswer: -61253","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1749 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1323 - -4108. List the prime factors of n.\nAnswer: 5431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 42467\/13650 + -1\/40950. What is h in 2\/9*h**2 + 10\/3*h + f = 0?\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 278 + 241 - 199. Solve -3*n + 7*n = 3*u + b, 20 = -5*u for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (7\/2 - 2)\/(-3)*4. Let i = -0.03 - -2.03. Which is the biggest value? (a) i (b) 1\/4 (c) l (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11 - 8. Let c(b) = 4*b - 111. Let v be c(29). Sort 0.5, r, v in descending order.\nAnswer: v, r, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - k + 3*k)*(6*k - 1 + 2 - 3*k)*(k + 3*k - 3*k).\nAnswer: 6*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 32 and 627952.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*i - 233 = 287. Let a be (2\/(-6))\/(1\/(-3)). Let j(g) = 7 + a + g**3 + 53*g**2 - i*g**2. What is j(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -33. Let g(w) = -w**3 + 8*w**2 + 4*w + 6. What is the tens digit of g(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 8*d**3 - 20*d**2. Let p(b) = 3*b**3 - 7*b**2. Suppose -42 = -4*z - g, 0*z - 13 = -z + g. Let q = 1056 - 1060. What is q*j(x) + z*p(x)?\nAnswer: x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.70549 rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -59*d = 101*d + 4*d + 5904 for d.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x and 2 s when four letters picked without replacement from xssssssssssx?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49, 90, 135, 184, 237, 294, 355?\nAnswer: 420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 7\/90, 0, 2 in increasing order.\nAnswer: -0.4, 0, 7\/90, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07 + 18.07. Let o = 13 - r. Let i = -0.007 - 0.493. Which is the biggest value? (a) o (b) 0.4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -5*b - g + 5, -2*b + 6 = -2*g. Suppose -72 = -4*o + 2*o + b*r, 3*r = 4*o - 124. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aava when four letters picked without replacement from {a: 4, v: 2}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1221, 1065, 805, 441?\n\"Answer: -52*q**2 + 1273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 4655.137mg?\nAnswer: 4655137","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/5)\/((-64)\/89600). Calculate the greatest common factor of 210 and q.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4851152047 and -96?\nAnswer: 4851151951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -u**2 - 22. Let v(y) = -140130*y. Calculate x(v(o)).\nAnswer: -19636416900*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 17130, 34265, 51400, 68535, 85670?\nAnswer: 102805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 676\/5 - 135. Which is the second smallest value? (a) 5 (b) -2\/3 (c) -15 (d) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7878, 8036, 8194, 8352?\nAnswer: 8510","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-20)\/12)\/(4\/22 + 8965\/(-32670)). Solve f = -5*w + 39*k - 41*k, -4*w = 2*k + 14 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = 3*y - 402. Calculate the remainder when y is divided by 260\/16 - 3\/(-4).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 28*i - 33. Let f be -2 + (-1)\/(10\/(-3) + (-2 - -5)). Give v(f).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/20 and -3*(-2 + 1) + (-14694)\/2480.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gw when two letters picked without replacement from {i: 1, r: 2, w: 1, g: 2, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -2015*l**3 - 13*l**2 + 11*l + 14. Let j(s) = -1343*s**3 - 9*s**2 + 8*s + 10. Give -5*h(a) + 7*j(a).\nAnswer: 674*a**3 + 2*a**2 + a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 53*m - 42*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/21 and (-20)\/(-35) - (-4595)\/(-630).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v**2 - 5*v + 6. Suppose -24 = -3*t + t. Let w = t + -18. Let u be y(w). Solve u = -2*d + 4 + 4 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2\/11 and 7\/53.\nAnswer: 583","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 13797766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bxr when three letters picked without replacement from qxrqbfbp.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j + 708 - 710 = 0, 9*s + 96 = -6*j for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2226 * -1.3\nAnswer: -0.28938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 - -5. Let h = 9 + -5. Which is smaller: w or h?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x**2 + 56*x + 6. Let p be j(-16). Suppose -13*i = -p - 74. Calculate the remainder when 28 is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 351843 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4*y**3 - 8*y**2 - 2*y - 17. Let r be w(9). Let v = r + -1294. List the prime factors of v.\nAnswer: 3, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1712)\/112 + 15 + (-16)\/(-154).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -5137 + 9918. Is 56 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 2*z = 0, 7*z - 1 = -3*n + 5*z for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 50 minutes after 4:06 PM?\nAnswer: 4:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*p**2 + 28*p**2 + 24*p**2.\nAnswer: 32*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -16797 + 16769. Which is the third smallest value? (a) -10 (b) 5 (c) 9 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6 in -5, 21983, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 4538808 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -e17 (base 15) in base 14?\nAnswer: -1228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 8:58 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z**3 + 0*z + 0*z)*(3 - 5 + 4) + 0*z**3 - 2*z**3 - z**3 to t + v*z**2 + b*z**3 + l*z and give b.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 32.4381 minutes?\nAnswer: 1946286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m + 119 = -91. Calculate the remainder when m is divided by 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 11, -18, 3\/5, 1, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 84223 bigger than 84225?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 137984 divided by -5.\nAnswer: -137984\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 28*l - 26*l + 10 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2097, -2070, -2027, -1968?\nAnswer: -1893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 19\/6 + -3 + 578\/420 and -30\/119?\nAnswer: 595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (23 - 23 - 77*g)*(-167*g**4 - 157*g**4 - 4*g**3 - 2*g + 323*g**4).\nAnswer: 77*g**5 + 308*g**4 + 154*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1238722 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xip when three letters picked without replacement from {i: 3, p: 3, b: 10, x: 3}?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -4*q**2 + 169*q - 13. Calculate g(42).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 12:28 PM?\nAnswer: 1:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/3572871 and 3\/20413.\nAnswer: 489483327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 73404166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 15*d**3 - 11*d**2 - 11*d. Let c = -19 - -21. Suppose 0 = c*f + 9 + 13. Let y(p) = 8*p**3 - 6*p**2 - 6*p. What is f*y(b) + 6*z(b)?\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -12808138.\nAnswer: 2\/6404069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -266166*u + 97166?\nAnswer: -266166","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186435 is divided by 93207.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3562?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -20005 smaller than 86?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 + 21*o**2 + 74*o + 3. Let d be x(-5). Let v(w) be the second derivative of -d*w + 1\/2*w**2 + 0. Let t(r) = -r - 3. Calculate t(k) + v(k).\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 65 and 52?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 91.5 + -92.5. Let g = 31.5 - 29.5. Put -8, 1\/2, g, r in ascending order.\nAnswer: -8, r, 1\/2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*21\/1260*-5\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13020564 is divided by 1409?\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 48, 0, 4, 2 in ascending order.\nAnswer: 0, 2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 + -18. Let y = i + 68. Let v = y + -14. Calculate the highest common divisor of v and 176.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 22.073497 and 0.036.\nAnswer: 0.794645892","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 269450.8 days in milliseconds?\nAnswer: 23280549120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2003556225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iziiiiizsijziziiiiz. What is prob of sequence sij?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yynyyyyyynn. What is prob of picking 2 n and 1 y?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -13. Let j = -22 - -22. Suppose -2*k = c*g - 19, j*k - 19 = -3*g - 5*k. Does g = 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 7:03 PM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 349*g**3 + 141 - 69 + 214*g**3 - 72.\nAnswer: 563*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 147954378 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -2360+-0.0656\nAnswer: -2360.0656","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-g - g + 3*g)*(3*g - g + 2*g) - 38010 + 613*g**2 + 38010 to d*g + s*g**2 + c and give s.\nAnswer: 617","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 740 and 48402290.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*p - 2*p + 20. Is (-5 + 1 - p) + 492 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 3052294, 3052597, 3052900, 3053203, 3053506?\n\"Answer: 303*p + 3051991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 172798721 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -182974 divided by 16634?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 91472\/2 + 0\/((-2162)\/(-47))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:23 PM and 7:31 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h = -34*r + 128, 475*r = 3*h + 473*r + 14 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-96)\/(-14))\/(28\/1176). Calculate the highest common divisor of 544 and o.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/27 + (-116)\/(-21)*4\/24.\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 327530000 to the nearest one million.\nAnswer: 328000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18462*p. Let s(a) = a. Calculate s(v(j)).\nAnswer: -18462*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 10*x. Let a(y) = -63*y. Give a(w(s)).\nAnswer: -630*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3 or 1823?\nAnswer: 1823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2 + -1*0\/(-3). Suppose -4 = -v*z - 0. Let f(c) = c - 1. Let m be f(6). Solve z = m*r + 12 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -2871, -3075, -3259, -3423?\n\"Answer: 10*b**2 - 234*b - 2647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + (-7 - 8 - -10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 714969 = -278*r + 710243 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-20)*11770\/428\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) -0.1 (c) 4 (d) -2\/17 (e) 51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, -21, -29, -19, 15, 79, 179, 321?\n\"Answer: j**3 - 27*j + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6, -75, -224, -495, -930, -1571?\nAnswer: -2460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 3907*t**2 + 25*t + 25. Let q = 389 - 390. Is c(q) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2d - 3?\nAnswer: 2a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (14 + (-16)\/8)\/((-4)\/(-688)*3). What is the greatest common divisor of v and 86?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 2*x + 10 = -6, x = -4. Let h be q\/(-12) - (-5)\/3. What is h rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*m + 79 = 19. Suppose 0 = -0*n + n - m. Calculate the least common multiple of n and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0017854 to 5 decimal places.\nAnswer: -0.00179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 4*j**3 + 2465986*j**2 - 3698992*j - 2465992 = 0.\nAnswer: -616498, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 3*z, -3*u + 4*u + z = 8. Suppose u*x + 7 = -2. Let h = x + 33. List the prime factors of h.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 4*z**2 - 13*z - 1. Let f be c(4). What is the second derivative of 39*s**4 - f*s - 2*s - 44*s**4 wrt s?\nAnswer: -60*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 48\/7 - 7. Suppose -5*n = -3*n. Is n less than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -164 divided by -82\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((j*j*j**6)\/j)**(-2))**48)**(-17) assuming j is positive.\nAnswer: j**11424","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -d**3 + 3*d + 2. Let x be o(-2). Suppose 0 = x*f - f - 9. Let p be 28 - f\/3*4. Calculate the highest common divisor of 6 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/7 + 469558424*s\/7 - 27560639193670472\/7.\nAnswer: -2*(s - 117389606)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -2*d + 7. Suppose 2*p = d*f - 103 + 413, 2*p - 312 = f. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 101059?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2*k - 2)*(-k - 1 + 1)*(0*k**3 + k**3 + 9*k**3).\nAnswer: -20*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -144212816\/2219 + 64990. Let r = a + -95345\/26628. Calculate the common denominator of 988\/1344 - 4\/(-14) and r.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 27 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**3 + 9*q**2 - 50*q - 462. Calculate the remainder when 367 is divided by s(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 5 = 3*c, -3*r + 8 = c + 9 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-3)*36\/(-96)*-2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*r + 3*r - 4*r)*(7*r - r**3 - 14*r + 21*r) to v*r + d*r**3 + b*r**2 + x + f*r**4 and give f.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 313440 (base 5) to base 2\nAnswer: 10100011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - -2) + -8 + (-8 - -16) + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2*s = -v - 3, 5*s = 2*v - 9. Let p(x) = -3*x**2 - 9. Let f = 39 - 72. Let c be (-25)\/(-4) - f\/44. Let l(m) = -m**2 - 4. Determine c*l(y) + v*p(y).\nAnswer: 2*y**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8 times -222?\nAnswer: 177.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -25623125.\nAnswer: -2\/25623125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 79640377?\nAnswer: 173, 460349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 16, s: 2}. What is prob of picking 1 a and 2 s?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**2 + 13*i - 55. Let x be m(6). Let g = 122 + x. What is the remainder when 7 is divided by g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/8*-2)\/((-2)\/(-6)). Let l be -1*(a - -98) - 4. Calculate the common denominator of 507\/l + 14\/21 and 25\/9.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2101 is divided by 426.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 173039 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*v = 63*v + v - 558 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -23 - (-15 + 4 + 7)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 82*w + w**2 + 6 + 4 - 3.\nAnswer: w**2 + 82*w + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2*(-4)\/(-16)*4. Suppose u + a = -0*a + 8, a - 16 = -t*u. Solve 4*n - u = -4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*q + 4*q + 2*q - 2*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98 + 98 + 47*p.\nAnswer: 47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 34\/(-20) + (14\/168*-36)\/2.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 * -0.0542.\nAnswer: 0.0271","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -4\/9, 77, -5, -4, 0.425?\nAnswer: 0.425","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ddkkdkk. Give prob of picking 3 d.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*k**2 - 26*k**5 + k**2 + 32*k**5 wrt k?\nAnswer: 360*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2579*1867 + (-3)\/(27\/(-63)). Round u to the nearest one hundred thousand.\nAnswer: 4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624 - 5*f**2 + 4*f + 5*f + 1621 + 555.\nAnswer: -5*f**2 + 9*f + 1552","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-12) - (-1147)\/222. Let w(d) = -8*d + y*d + d. Let r(t) = 37*t**2. Determine w(r(z)).\nAnswer: -74*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**7*v)\/(v*v**(1\/2))*(v**0)**43)**(3\/7) assuming v is positive.\nAnswer: v**(45\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 56. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10437673 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t - 8. Let r be x(-8). Let m(v) = r*v + 0 - 2*v + 1 - 2. Calculate m(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367942 to the power of 1\/2, to the nearest integer?\nAnswer: 607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 102, 273, 478, 735, 1062, 1477, 1998?\n\"Answer: 3*i**3 - i**2 + 153*i - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*j - 27, -5*j - 4*v - 6608 = -6574 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 + 357780*w + 39738222.\nAnswer: -2*(w - 179001)*(w + 111)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -2*p + 6. Let y be t(6). Let s be 60\/(-8)*12\/(-10). Let q = y + s. Solve b + 2*j = 2*b - q, -5*b - 21 = 2*j for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 16\/5? (a) 2\/39 (b) -0.9 (c) 0.4 (d) 21\/2 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.03 and 35838.21145?\nAnswer: 35838.18145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.14 (b) 0.1 (c) 3.3 (d) -3 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 12 = w. Suppose w*m - 70 = -6. Let r = m + -9. Is r a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 11*u - 49. Determine l(4).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19121 minus 0.06346?\nAnswer: 19120.93654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, -198, 0.3, 0.2 in decreasing order.\nAnswer: 1\/2, 0.3, 0.2, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of w**7\/2940 + w**6\/420 - w**5\/420 - w**4\/28 + 2*w**3\/3 + 2. Let b(y) be the third derivative of f(y). Solve b(j) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a day in seconds?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*f - 3 = 3*f. Let z = 1.1 - 0.1. Let d = 14 - 14. What is the closest to z in f, d, -1?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19793 is divided by 4931?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1944101, 3 in decreasing order.\nAnswer: 3, -4, -1944101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-2)\/(-3))\/((-20)\/18). Let r(g) = -3*g. Let p be r(0). Suppose 0 = -3*w - 4*o, -3*w + 0*w - o = p. Sort 6, w, a in decreasing order.\nAnswer: 6, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*r**3 - 8340*r**2 + 132235*r - 123900 = 0. Calculate r.\nAnswer: 1, 15, 1652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -33*b + 31*b - 2, 3 = b for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -144, -287, -430, -573?\n\"Answer: -143*r - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the second derivative of r**7\/126 - 13*r**6\/90 + 41*r**5\/60 - 47*r**4\/36 + r**3 - r - 1. Factor q(d).\nAnswer: d*(d - 9)*(d - 2)*(d - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*v**3 + 2 + 9*v**3 - 2.\nAnswer: 19*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24730 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -11*n. Let v be (2\/1)\/((-8)\/16). Let u be v\/(2*6)*6. Is b(u) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 147873426553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*c**2 - 3*c**2 + 2*c**2 - 8*c**2 + 11*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -71\/20 and 81\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1335058, 1335053, 1335036, 1335001, 1334942, 1334853, 1334728?\nAnswer: 1334561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9654 and 810.\nAnswer: 1303290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15256 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 x(a) = 27*a**2 - 3*a - 9. List the prime factors of x(4).\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -4*v**2. Let h(x) be the second derivative of -2*x**3\/3 + 13*x. Calculate c(h(j)).\nAnswer: -64*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 21 in descending order.\nAnswer: 21, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 25 = -5*x - b, 5*x - 3*b = 23. Solve -a = -0*f + 3*f - 8, f = -x*a + 21 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 11, 2, -2, -5, -17, -30?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 + 6*h**2 + 6*h - 4. Let i be o(-4). Let a be (14\/4 + -3)*i. Let j be (-3)\/9 - (-14)\/6. Solve 0 = -a*f - j - 8 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -60 or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 680906 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 125528 is divided by 75.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ejg when three letters picked without replacement from epmgmmeppjpememep?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6238 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*z - 3 - 6*z + 3 to b + y*z and give y.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 3*q - 4 = 5, -5*q = -3*y + 15. Suppose y = 23*j + 81 - 311. Solve -4*h + 2 = j for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -105*j**5 + 76323*j**4 - 370944*j**3 + 402744*j**2 + 95376*j - 51984 = 0.\nAnswer: -2\/5, 2\/7, 2, 3, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 59229\/67 + -884. Is g != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 + 2744*g + 11.\nAnswer: 2744*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**3 - 7*u**2 + 6*u + 6. Let a be h(6). Let s(m) = -m + 6. Let v(y) = -33*y + 61. Let l be v(2). Let q(j) = 5. Calculate a*q(t) + l*s(t).\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -1137456*z - 11374553. Calculate m(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 72852, 145689, 218522, 291351, 364176, 436997, 509814?\nAnswer: 582627","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 365, 334, 277, 188, 61, -110, -331, -608?\n\"Answer: -s**3 - 7*s**2 - 3*s + 376","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-64 + 17 - 12)*(s - 3*s - 3*s)*(4*s + 1 - 1).\nAnswer: 1180*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 9 = -4*w + 3, 3 = -t + w. Suppose t*z - 4*z = -40. List the prime factors of ((-14)\/4)\/((-5)\/z).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43293319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 + -6141205042?\nAnswer: -6141205046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oodd when four letters picked without replacement from {d: 2, o: 3, u: 3}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-245)\/(-3))\/(-7) + 12. Let k(b) be the first derivative of f*b**3 - 36 + 2*b + 5\/2*b**2. Give k(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/3*279\/930?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 253 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - 324?\nAnswer: -330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 101992.\nAnswer: 611952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -12*(-3 - 43\/(-2)). Let m = -127 - q. Suppose -5*i - 2*y + m = -3*y, 2*i + y - 31 = 0. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1)*o)**(6\/17) assuming o is positive.\nAnswer: o**(18\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-57931)\/(-15245) - ((-5284)\/345)\/(-4).\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -2, 1, -88, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1284 is divided by 15?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -8450.72706 rounded to the nearest integer?\nAnswer: -8451","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 divided by -30555?\nAnswer: -22\/30555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 4:54 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 - 0 - 57\/(-18). Let m = -0.04 - 10.96. Let r = -10.7 - m. Sort r, -1, d in ascending order.\nAnswer: -1, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.033 - -0.067. Which is smaller: n or 17?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*b - 28*b - 2098 = 0. Suppose 2*n - n - b = 0. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 - ((-20)\/(-5) + -5 + -6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-20)\/(-80))\/((-1)\/(-44)). Suppose -2*j - d = -3*w, 0*w - 8 = j - 2*w. Solve 0*h - j*h = -4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10110110 (base 2) to base 16\nAnswer: b6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 x when two letters picked without replacement from {x: 2, o: 2, i: 9, v: 5}?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 4 + 0 = -4*g, -4*z + 11 = -3*g. Let b(h) = -4 + 7*h + z + 1. Let n = 2 + -1. Give b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 + 32 = -2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 116 - 74. Let l be ((-147)\/c)\/((-2)\/12). Suppose 567 = 3*o - 0*o. Calculate the greatest common divisor of o and l.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -2220 and 9448?\nAnswer: 11668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**6*k**(-1)*(k**(-5)\/k)\/(k**3*k) assuming k is positive.\nAnswer: k**(-4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5*((-6)\/((-108)\/(-9)))\/(45\/(-12))?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2.3391509*3.6\nAnswer: 8.42094324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 0.0039, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -27\/2, 228, -1, -0.5, -4\/7, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.1 times 0.033\nAnswer: -0.1023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 96526211 to the power of 1\/2, to the nearest integer?\nAnswer: 9825","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*x**2 + 5*x**2 + 77*x**3 - 62*x**3.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4234881 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 283 - 276. Let m(b) = 19*b + 5. Let y(f) = 28*f + 7. What is z*m(j) - 5*y(j)?\nAnswer: -7*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 641 and 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2424009, 4847978, 7271947, 9695916, 12119885?\nAnswer: 14543854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.3 (b) 1 (c) -5 (d) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -71 in decreasing order.\nAnswer: 0, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**3 - 2*d**2 - 3. Let a be b(-3). Let l = a + -2. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/2 - (-3)\/6?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10230 + -9277. Which is smaller: u or -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 5*i**2 + 13*i + 18. Let q(y) = y**2 - 3. Let s(g) = -a(g) + 4*q(g). Determine f, given that s(f) = 0.\nAnswer: -10, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -5085*v + 20297. Give x(4).\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67710 and 27?\nAnswer: 609390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 13. Let j(n) = n**2 + 3*n + 4. Let v be j(-4). Let b = v + -13. Is d greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59 by 59.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 510 is divided by 32?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fjptf. What is prob of sequence pftf?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**4\/4 + i**2 + 109*i - 13. What are the prime factors of o(0)?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 243790236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 416\/(-28) - (-3)\/(-21). Let d = -15 - u. Solve 4*t = -2*j + 4, 4*j = -d*t + 2*t + 8 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058b (base 12) in base 6?\nAnswer: 243455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 * 1300.31461\nAnswer: 650.157305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3*f - 2. Let j be 1 + 5\/(-6) + 182\/(-12). Let v be (-3 - 1\/3) + 10\/j. Determine h(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 12*p. Let g(v) = -3*v. Give -9*g(q) - 2*n(q).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/((3628\/2721)\/((-2)\/(-3)))?\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15 + 17. Let -4*s**2 + 6*s**o - 2 - 5 - 1 = 0. What is s?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2896*s - 22*s**2 + 2896*s to l + x*s + o*s**2 and give o.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) -2\/633 (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*x**3*y**3 - 8*x**2*y - 63*y**3 + y wrt x.\nAnswer: 33*x**2*y**3 - 16*x*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4*t**2*w + t**2*z + 22*t*z**3 - 369*w*z**3 - 7*w wrt t?\nAnswer: 8*t*w + 2*t*z + 22*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -500*s - 589. What is q(-1)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.766 - -2.766. Let j be (3 - 5\/10) + -1. What is the second biggest value in -1, j, -6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 - (-109)\/(-56) - -2) + 549\/(-1281).\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.27 - -0.07. Which is the third biggest value? (a) i (b) 2 (c) 69\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 93545*b**2*i**2 - 11692*b**2*i + 15*b*i**5 - 29*b*i + 5*i wrt i.\nAnswer: 187090*b**2 + 300*b*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -192 * -0.02.\nAnswer: 3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491*d + 1493*d = -8. Let r = 0 + 2. Let l be -5*3*r\/6. Put l, d, 1 in decreasing order.\nAnswer: 1, d, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*p - 59*p = -70*p + 1408 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 5*l - 70. Let v be q(16). Let o(r) = -r**2 + 10*r - 12. Give o(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 2*s**2. Let o(m) = 2782668*m**2. Give l(o(d)).\nAnswer: 15486482396448*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 16910?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -4*h + h - 1824, 5*h - 5*y + 3050 = 0. Is (4\/(-14))\/(3\/h) - 2 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 5287*r**5\/3 + 68779*r**4\/6 + 121913*r**3\/6 + 5471*r**2\/2 - 15837*r\/2 - 36 = 0.\nAnswer: -3, -1, -24\/5287, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 133033 = -127*r + 123381 for r.\nAnswer: -76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 48684242?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 116 - 695\/6. Let k = -0.136 - 0.064. What is the third smallest value in -0.3, k, i, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13703?\nAnswer: 71, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that -50\/7 + c**3 - 72\/7*c**2 + 195\/7*c = 0.\nAnswer: 2\/7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 45 = -5*j - 5, -3*j = -3*p + 6. Let m be (2\/4)\/(j\/42). Let c(i) = i**2 + m - 7. Let z(o) = 2*o. Determine c(z(d)).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 6183132763 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 3658 and -4.7558?\nAnswer: 3662.7558","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the third derivative of q**8\/84 - 2*q**4\/3 - 7*q**2. What is the second derivative of k(w) wrt w?\nAnswer: 80*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 n when two letters picked without replacement from lntty?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 168347 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + -561?\nAnswer: -560","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 31?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 12.6. Put q, -1, -1\/11 in decreasing order.\nAnswer: q, -1\/11, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(0\/6 - 2). Which is the fourth smallest value? (a) z (b) -5 (c) -0.3 (d) -10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -2\/15 (b) -4 (c) 11 (d) 5846 (e) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 + -37. Calculate the greatest common divisor of 34 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -24 (b) 8 (c) 17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zttt when four letters picked without replacement from {t: 7, z: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (29*x**2 - 21*x**2 + 69*x**2)*(-8*x - 20*x + 12*x + 2).\nAnswer: -1232*x**3 + 154*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 16938975 divided by -297175\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6688 + -6683. Which is the nearest to 0.2? (a) 0.5 (b) g (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -77.8 or -8?\nAnswer: -77.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.27 + -59.73. Let m = 65 + r. Let p = -1 - -1. Sort m, p, 3\/4 in descending order.\nAnswer: m, 3\/4, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21, 418, 815?\nAnswer: 1212","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a millennium in decades?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 8*v**2 + 15*v - 35. What is c(7)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 57.2978917 to 1 decimal place.\nAnswer: 57.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -30213033?\nAnswer: -30213102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 2) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 430288399?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 272 and 2?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1861955037?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 44*h + 45*h - 85*h = 0. Solve 6*w - 4*w - 2 = h for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1\/6, 3\/1820, 0.1?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 1 = -9, 0 = -2*h - 3*u + 31. Suppose -k + 5*k = h. Solve 3*z = k*w - 5, z + 15 = 2*w - 4*z for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2833, 11230, 25133, 44488, 69241, 99338?\n\"Answer: -9*v**3 + 2807*v**2 + 39*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*r + 41 = -204. Which is the nearest to 1\/3? (a) r (b) 2\/3 (c) -1\/5 (d) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -70*x**4 - 68*x**2 + 2 wrt x?\nAnswer: -1680*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/6 + 355571*k\/3 - 237047\/2.\nAnswer: -(k - 711141)*(k - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 2112 = c, -2*o - 12281 + 1586 = -5*c. What is the units digit of c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 78728?\nAnswer: 2, 13, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -104\/304051 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f**3 - 11*f**2 - 19*f - 83. Let j be h(-10). Let o be j + -3 + -4 + 3. Solve -n = o*n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.07, 871, 18, 0.5.\nAnswer: -0.07, 0.5, 18, 871","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -403 + -12400?\nAnswer: -13303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**3 + 6*m**2 + 8*m + 11. Let g be t(-5). Let p be (g\/(-22) + 4428\/(-33))\/2. Let k = p - -137. What are the prime factors of k?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*u = 17*u + 86*u - 4185 for u.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 579079 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -413\nAnswer: -1\/413","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*o + 2155 = 7*o. Let k = -115 - o. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*s**4 + 487*s**3 - 13*s - 487*s**3)*(1 + 0 - 5 + 0 + 2 + 0 - 1 - 2 + 2 + (-4 - 3 + 5)*(-1 - 3 + 6)) as l*s + y + b*s**2 + w*s**4 + n*s**3 and give w.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 306 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5 + -5. Suppose -4*u + f = -8. Suppose -w + 4 - 1 = 4*k, u*w - 6 = -k. Solve -5*x + 4*s + 13 = 0, -x + w = -0*x - s for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3*(1 + (0 - 0)). Let z be 4 - (1 + 3\/l). Suppose 25 - z = s. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0 + 0 - (-2 - 0). Suppose -1560 = -5*b + 5*f, -926 = -3*b - 0*b - t*f. Suppose 2*j + b = 4*v, v - 3*j = -0*j + 80. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*q + 7*q + 0*q)*(-2 + 3 + 0 + (5 - 6 + 0)*(1 + 2 - 5) + 2 - 2 + 2 + 5 - 5 - 1 + 10 + 21 + 7) as a + b*q and give b.\nAnswer: 210","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 2*g - 1)*(-2*g**3 + g**3 - g**3) - 1114839*g**3 + 454*g + 1114839*g**3 - 4*g**4.\nAnswer: -8*g**4 + 454*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 565*b**2 + 13*b + 49. Is n(-4) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -77, 9\/917 in increasing order.\nAnswer: -77, 9\/917, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -73 in 0.1, -1\/3, 2\/5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**0)**(-4\/7)\/(d*d**(-3\/7)*d*(d*d**(2\/3))\/d) assuming d is positive.\nAnswer: d**(-59\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13265 is divided by 40.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jopwgpv. Give prob of sequence op.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the second derivative of n**8\/2240 - n**7\/2520 - n**6\/90 - n**5\/30 - 13*n**4\/6 + 17*n. Let v(f) be the third derivative of z(f). Factor v(b).\nAnswer: (b - 2)*(b + 1)*(3*b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12 + ((-555)\/18 - -17) + (-28)\/(-12)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 22*a**6 + 8*a**2 - 12*a + 0*a**2 + 55*a**6 + 16*a wrt a.\nAnswer: 9240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(2\/51)*v*v**(1\/38) assuming v is positive.\nAnswer: v**(2065\/1938)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*l + 30*l = -8. Suppose 2*w - y - 746 = -114, 2*y + 630 = l*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -28 + 2 + (25 - -27 - 6)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 97656446.5 to the nearest 1000000.\nAnswer: 98000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 100010101111001001100 (base 2) to base 11\nAnswer: 708205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 34.604 + 0.196. Let v = k + -35. Is -22 at least v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11588294 to the power of 1\/5, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 171357, 0.5 in descending order.\nAnswer: 171357, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20237*p**2 + 5*p**3 - 4*p**3 + 20237*p**2.\nAnswer: p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -181\/210 and 1\/1986.\nAnswer: 69510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 26. Let f = 321 + -201. Is 3*(f\/9 + b) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7164 is divided by 128?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 7812.11 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j + 12. Let u(b) = -b**2 + 7*b. Let c be u(4). Let y be s(c). Let k = y + 1. Which is greater: -1\/7 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 3\/40 of a millimeter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 21\/(-14))*4406 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8124.501 rounded to the nearest ten?\nAnswer: 8120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**2 + 26*s - 141. Give b(20).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 522 = 30*k + 28*k. Let h(i) = i**3 - 10*i**2 + 9*i + 9. What is h(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -1102*z**2 - 54*z - 452. Let i be u(-46). What is i rounded to the nearest 100000?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**4\/24 + c**3\/2 - 6*c**2. Let j be n(-3). Let y(h) = h**2 + 11. What is the tens digit of y(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -3*k**3 - 14*k**2 - k + 36. Determine a(-6).\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -3*h**2 - 2*h**2 - 3*h**2 + 6*h**2. Suppose -s + 2*k - 2 = 0, -3*s - 3*k + 14 = s. Let x(i) = -26 - i + 26 - s*i. Calculate p(x(f)).\nAnswer: -18*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12234.\nAnswer: 2, 3, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -2*l**2 - 9*l + 2. Let g(j) = j - 1. Let c(b) = f(b) + 5*g(b). Calculate c(-2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -542, -547, -554, -563, -574, -587, -602?\nAnswer: -619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8*(-9)\/(-18)*37\/((-52614)\/(-9)).\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4056187019?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2952 and 3608.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 235.7936 + -236. What is m rounded to 2 dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j**2 - 5*j + 3. Let q be w(3). Let y be (-22)\/(-28) + 6\/q. Which is the biggest value? (a) 5 (b) y (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + 2. Suppose r*b + 7*d = 4*d + 72, -2*b = -4*d - 8. List the prime factors of b.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 4345703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -3*r - 2. Let f be o(-3). Suppose 164 = 8*p - f*p. Does 41 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y - 779 = 453. Let z = 92 - y. Sort -5, 0, z, -13 in decreasing order.\nAnswer: z, 0, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 + 268.398.\nAnswer: 268.898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 6:37 PM?\nAnswer: 12:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4693, -13093, -27093, -46693, -71893, -102693?\n\"Answer: -2800*w**2 - 1893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5701061?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -731, -2869, -6491, -11675, -18499?\n\"Answer: -13*v**3 - 664*v**2 - 55*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {l: 2, i: 1, g: 1, y: 2, e: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2 - (-3 + -4 - 2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 8*x**2 - x - 2. Suppose 4*k - 8 = -0*k. Let r be p(k). What is the highest common factor of 308 and r?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/9 - 14*y**4\/9 - 9184*y**3\/9 - 264184*y**2\/9 - 1678784*y\/9 - 3070336\/9 = 0.\nAnswer: -34, -4, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*w**2 - 70*w**2 + 9*w**3.\nAnswer: 9*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1033983*m - 25849578. Determine b(25).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + u, w = 5*u - 1 - 8. Let f be (1\/w)\/(14\/(-42)). Let m(p) = 1112*p**2 + 5*p + 7. Let r be m(f). Round r to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = 197*l - 198*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 3049*w + 3034. Determine p(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18432110 is divided by 209.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2441 + -2438. Let h = 6 - 5. Let n be (2\/(-4))\/(h\/(-22)). Solve 3*p = 9, x*l + l + p = n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1.3 (b) 1\/2 (c) 11 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7569 and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11268 * -3.8.\nAnswer: -42818.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 505463\/32 less than 15797?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 - 9 = -20*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 21? (a) -0.13 (b) 1 (c) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -1189*d + 321. Is l(-22) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*v + 72*v = 80. Let s(l) be the first derivative of 15*l - 244 + v*l**2 + 149 + 124. Differentiate s(g) wrt g.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 730202 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 264, 220, 158, 72, -44, -196, -390, -632?\n\"Answer: -p**3 - 3*p**2 - 28*p + 296","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -l - 5*n, 5*n + 28 = -4*l + l. Let z(a) = 4*a**2 + 2*a - 1. Is z(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*c = 118*c + 4*s - 62, 0 = c - s + 21 for c.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -2*x - v, -5*v - 10 = 3*x. Let q be (-76)\/(-10) + (-2)\/(-5). Let o = q - x. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4230*q**3 - 6506*q wrt q?\nAnswer: 25380*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r**2\/9 - 35362*r\/9 + 11788\/3 = 0.\nAnswer: -17682, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 3 + 3. Let y(m) = -m - 6. Let r be y(-11). Let g(t) = 4*t - 12*t + 1 + 2 + r. Let z(p) = -p + 1. Give v*g(b) + 18*z(b).\nAnswer: -2*b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 195 + 469 = -b, d + b = -132. Let t be ((-2)\/4)\/(d\/(-28) - 5). Factor -1\/2*s**t - 1\/2*s**4 - 4\/3*s**3 + 1\/3*s + 0.\nAnswer: -s*(s + 1)*(s + 2)*(3*s - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9141, 15936, 22731, 29526?\nAnswer: 36321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 84. Suppose 0 = -t*a + 2*a - 2. Let n(c) = -2*c - 3 - c + 1. Calculate n(a).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4764679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1380, 2782, 6604, 14058, 26356?\nAnswer: 44710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 69 or 1290\/19?\nAnswer: 1290\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*j - 3*x + 3, -23 = -2*j - 3*x. Let k = 7 - 3. Calculate the highest common divisor of j and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(64)\/sqrt(2) + 2)**2 + 1)*6.\nAnswer: 96*sqrt(2) + 222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -5? (a) 0.5 (b) 0.05 (c) -13 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*x - 36 = 36. Solve 4*m - 5*u - 25 = 0, 0 = 5*m - u - 17 - x for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 435\/11 in -1.2, 12, -0.2?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-13)\/(-1))\/(3\/12). Suppose -t + 3 = -10. Calculate the greatest common factor of v and t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -365312553563 and 51.\nAnswer: -365312553512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 111*r + 9 + 561*r + 1274*r.\nAnswer: 1946*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f - 2 - 5 + 5)*(-3 + 5 + 2).\nAnswer: -8*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 748393183 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*g = -16*g. Let j be 0 - (g - -3 - 7). Calculate the greatest common factor of 4 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - -87970368421.\nAnswer: 87970368420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 164493459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 8952730 a multiple of 2110?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -3*i**2 + 6*i. Let a be u(2). Suppose a = -12*p + 13*p - 28. Let d = -22 + p. What is the highest common factor of 78 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 + 23 + 102*y**2 - 19*y**2.\nAnswer: 83*y**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 2 - 1 - (-13 + 16).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-150)\/8)\/((-35754)\/47672)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in r**3 + 9*r**3 + 3*r - r - 19*r**3 + 3172*r**2 + 2*r**3.\nAnswer: -7*r**3 + 3172*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 0*p + 0*p)*((-23 + 11 - 40)*(-24 + 24 - 37*p) + 3 - 3 + p).\nAnswer: -3850*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 1. Let z(w) be the first derivative of 2*w**3\/3 - w**2\/2 - 2*w + 1. Suppose 0 = -4*d + d + 3. Calculate d*z(j) - 4*i(j).\nAnswer: -2*j**2 - j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 27*k*x**2 + 141324*k - 164*x**3 wrt x.\nAnswer: 54*k*x - 492*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6\/4*(-76)\/(-3). Suppose 16 - c = -p. Let x be p\/6 + (-12)\/18. Solve -b = 5*i - 14 - x, 3*b + 5*i - 11 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**2\/3 + 1468*j\/3 - 9538 = 0. Calculate j.\nAnswer: -753, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 718?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -29338*g**3*s**2 + 41*g**3 + 1094*g**2*s**2 - 981*g - 2*s**2 wrt g.\nAnswer: -176028*s**2 + 246","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 51269350 rounded to the nearest 10000?\nAnswer: 51270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3121*l**2 - 1315*l**2 + 616*l**2. Let j(o) = -o**2. Give t(j(m)).\nAnswer: -3820*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -305122, -610247, -915372, -1220497, -1525622, -1830747?\n\"Answer: -305125*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*v = -0*v. Suppose -8*i + 64 = -v*i. Let w(n) = 3*n + 7. Calculate w(i).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2 - -4)\/(-8) - (-2643)\/4. Let o be 38\/4*(74 - 0). Let g = u - o. Find the common denominator of 61\/4 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -13*k**2 - 849*k - 7199. Determine i(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 37666 divided by 17?\nAnswer: 37666\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 AM and 3:40 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/9580766 and 21\/794.\nAnswer: 3803564102","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35116032?\nAnswer: 2, 3, 7, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8819772.\nAnswer: 2, 3, 13, 4349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l\/l**(-5\/4))\/(l\/(l*l\/(l\/(l*l**(14\/3)*l)))))**(-34) assuming l is positive.\nAnswer: l**(-2023\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j**2 + 4*j - 4*j)*(170 + 2467 - 434).\nAnswer: -4406*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:46 AM?\nAnswer: 5:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s - 5*m + 361, 4*s + 0*m - 2*m = 326. What is the greatest common factor of s and 126?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1397 + -1380. Which is the third smallest value? (a) 5 (b) k (c) -2\/15 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1327\/7 - -190. Let q = -0.02 - -0.22. Let k = 0.1 + q. Put k, y, 3 in descending order.\nAnswer: 3, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g = 4*g - 24. Let m(w) be the second derivative of -w**3\/2 + 7*w**2 - 52*w + 2. Let k be m(4). Solve -2 = -k*q - g for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 487\/81 + -272891\/162. Let t = b - -13333\/8. Find the common denominator of t and 2 - ((-90)\/32)\/(-5).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -3648189 and -3648189 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -9, -0.2, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o + 1. Let d(x) = 6 + 2*x - 7 + 1. Let c be (0 + 1)\/(-2 + 1). Let s(w) = c*h(w) - d(w). Differentiate s(k) with respect to k.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 93 = a. Let f = -511 + 716. Let p = f - a. Calculate the highest common factor of p and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 762 = 5*c. Let w be 1\/2 + -451*(-2)\/(-4). Let d = w + c. Is d a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/93365 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0)**(-1\/9)\/(i**(-4\/9)\/i**(-5\/3)) assuming i is positive.\nAnswer: i**(-11\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/14)*z**12)\/((z*(z\/((z\/(z**(3\/23)\/z))\/z))\/z)\/z**(-10)) assuming z is positive.\nAnswer: z**(625\/322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21603, 21222, 20841, 20460, 20079, 19698?\nAnswer: 19317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 + 4*q + 1)*(0*q**2 - 2*q**2 - 2*q**2) to the form m*q**2 + b*q**3 + l*q + d and give b.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -36 in 2\/21, -1, -39.7, 5?\nAnswer: -39.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2395057 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 7 + -4. Let r(u) = u - 1. Let x(c) = -c**2 + 6*c - 11. Let z be x(4). Let y be r(z). Sort l, 0, y in descending order.\nAnswer: l, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 10 = -18. Let g = 22 - 20. Suppose -30 = 3*i + g*i. Are v and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 - 5*q - q - 2 - 36 + 50.\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1490429 and -0.5.\nAnswer: 745214.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8213 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 4, n: 4, l: 1, c: 1, o: 4, g: 4}. Give prob of sequence gno.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1944288 a multiple of 774?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 2*d + 13. Let i be 6\/(-39) + 54\/d. Let j(b) = -4*b**2 + 3*b. Let u = 666 - 660. Let z(h) = 3*h**2 - 2*h. Determine i*j(k) + u*z(k).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732073 is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of 19*b**3\/3 - 5*b**2\/2 + 5*b - 2. Let t(s) be the first derivative of -3*s**3 + s**2 - 2*s - 1562. What is 5*t(n) + 2*v(n)?\nAnswer: -7*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, 187.3, -5, -202.8?\nAnswer: 187.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2 - -2. Let c(a) be the second derivative of -a**3\/6 + 39000*a**2 + 2*a. Let i be c(x). Round i to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -46*x**3 + x**2 - x + 1. Calculate m(1).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2 + -2.6. Let f = -34703.9 + 34705. What is the smallest value in f, -5, 0.3, i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-4))\/((-15 - -29) + -19).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8.4 - 0.8. Let l = -9.2 - h. Which is the closest to -8? (a) 0.3 (b) l (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + -131302010?\nAnswer: -131301333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 3*w**2 + 84*w + 81 = 0.\nAnswer: -27, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*g + 30*g = 486. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4126, -4158, -4244, -4408, -4674, -5066, -5608, -6324?\nAnswer: -7238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 609*n - 244*n - 188*n - 181*n.\nAnswer: -4*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*i**2 - 186485200*i - 2173545613690000.\nAnswer: -4*(i + 23310650)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.289 - 85003887.6.\nAnswer: -85003887.889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -15*d**2 + 19*d**2 + 2 - 5*d**2 to the form t*d**2 + m*d + b and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/((-2)\/8). Suppose 0 = -s*m + 22 + 154. What is the greatest common factor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -y**2 + 3*y + 7. Give z(5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -46*m**2 + 10*m. Let r(f) = 13*f**2 - 3*f. Let z(p) = -10*r(p) - 3*v(p). Let i(d) = 3*d. Let l(y) = y. Let h(u) = -2*i(u) + 5*l(u). Give z(h(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(35)\/(sqrt(20)\/sqrt(4)) - sqrt(700)*-1) + 3.\nAnswer: -2 + 11*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4)*121\/(-99) and 47\/12.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -0.4 (c) -0.06 (d) -4 (e) -0.1 (f) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 2*a - 280 + 292 = 0, -4*a - 24 = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5876286 divided by -39.\nAnswer: 150674","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 148996710 divided by 6?\nAnswer: 24832785","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2030650 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: (-13376)\/(-66880)*3\/(27\/(-2))\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/(-4))\/1 - (21 + -18). Let q(w) = 3*w + 5. Let c(h) = -h - 1. What is n*q(a) - 10*c(a)?\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 22 + -25 - (-7 - 2 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54295583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 995 and 7115245?\nAnswer: 995","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1932, 3810, 5590, 7224, 8664, 9862?\nAnswer: 10770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 4*b. Let f(z) = -z**2 + 7*z - 1. Determine 2*f(o) - 5*t(o).\nAnswer: -2*o**2 - 6*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-13800)\/35*(-6)\/((-24)\/(-28)). Calculate the highest common factor of 18 and d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90055751.\nAnswer: 90055751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8936896 is divided by 1502?\nAnswer: 1498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 29296?\nAnswer: 87888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-3)\/4)\/(31\/(-124)). Suppose 0 = -5*w + 3*y + 19, w = p*w - y - 7. Let n be 26\/42 - 2\/(-3). Do n and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17 + 25. Let w = v + -5. Let a = -1 + w. Solve -3*u + 2*x - 5*x = -6, -a*u + 1 = x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 21*y**2 - 13*y**2 + 1.\nAnswer: 8*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.3 + 1.5. Let g = -10297 + 401617\/39. Let q = g + -20\/13. Which is the third biggest value? (a) o (b) 0.1 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**3 - 280*u**2 + 10*u - 10. Let l(o) = 2*o**3 + 279*o**2 - 12*o + 12. Give 5*l(h) + 6*q(h).\nAnswer: -2*h**3 - 285*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 301204 times -5.9\nAnswer: -1777103.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 111.58792 to 1 decimal place.\nAnswer: 111.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 53?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, -0.2, 2, -0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -665 - 716 + 388*z + 1443. Is q(3) a multiple of 43?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(121)*-3)\/(sqrt(11) + (sqrt(176) + sqrt(11))*6).\nAnswer: -3*sqrt(11)\/31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-391)\/(-207) + 1\/9. What are the prime factors of 33\/m*8*(-4)\/(-8)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1267096 to the nearest integer?\nAnswer: 1126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**2 + 9*x - 3. Let y be n(8). Solve -w + 8 + 3 = -5*u, 0 = y*w + 20 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/10*1)\/3*(-186)\/(-31).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*j = 60*j - 2 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26593101*a - 7016*a**2 - 26593101*a to b*a**2 + z*a + u and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 581.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11.9 or 26?\nAnswer: -11.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 - -4. Suppose -i = -4*b + 3*i - n, b = -2*i + 10. Suppose w + b*w = 48. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -204, -18.8, -50?\nAnswer: -18.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0023936 rounded to five dps?\nAnswer: -0.00239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h**3 + h + 1. Let i(w) = -4*w**4 + w**3 + 20*w**2 - 17*w - 5. Let z(o) = 5*b(o) + i(o). Factor z(l).\nAnswer: -4*l*(l - 1)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 514492.905 and -1920951?\nAnswer: 2435443.905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3*(-3 - (-2 + -2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 338 and 4451785?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 6:41 AM?\nAnswer: 6:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 - 7) + (0 - (-6 + 19))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 65093764 divided by 2.\nAnswer: 32546882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*y**3 + 483*y**3 - 242*y**3.\nAnswer: -2*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 24987169697 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 - 4*p**2 + 4. What is a(5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 7, z: 4}. What is prob of sequence zzp?\nAnswer: 14\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of 0*i + 1\/8*i**4 + 0 - 4*i**2 + 0*i**3. Let d(h) be the third derivative of -h**4\/12 - h**2. Give d(y(n)).\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, b: 9}. Give prob of picking 2 t.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 31123 - 10?\nAnswer: 31113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 6 = 3*m, 0 = -5*j - 2*m - 0*m - 9 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4.4, 2, 3\/4, 3, -2\/19, 1.83, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - p - 13 = 0, -24*b = -20*b + p - 11. Let s(j) = -j + 40. Let v be s(0). Suppose 5*t = 10*t - v. Solve -b*k = -7 - t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 148 (base 14) to base 13.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*v**2 + 10*v**2 - 76*v**2 - 32*v**2 + 124 + 4*v + 0*v**2.\nAnswer: -122*v**2 + 4*v + 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:06 AM?\nAnswer: 5:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 113063861 and 3?\nAnswer: 339191583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/5 - (12\/(-5))\/6. Suppose 5*g = -2*r - r - 10, -3*r = v*g. Let j = 0 + 0.04. Which is the third smallest value? (a) 0.2 (b) g (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/15, 2, -0.5, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 18*d**2 + 35*d - 10. Let f = -60 + 124. What is the remainder when s(-15) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes before 3:18 PM?\nAnswer: 9:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 289507423 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*a*g*m**3 + a*g - 8*a*m - 7*g*m + g + m**2 - 64 with respect to m.\nAnswer: 12*a*g*m**2 - 8*a - 7*g + 2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s*s*(s*(s*s*(s**(-11)*s*s)\/s*s*s)\/s)\/s*s**0)\/(s**3)**(7\/8) assuming s is positive.\nAnswer: s**(-53\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 205 = 4*b - 4*f - 83, 0 = 2*b + 3*f - 154. Suppose -34*v + 130 = -b. Solve 32 = v*j + 20 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-4)*t))\/(t\/(t\/(t\/((t\/t**(-3\/5))\/t))))*t*t\/(t**2\/t)*t\/(t**(1\/9)*t) assuming t is positive.\nAnswer: t**(202\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0 (b) -34.2 (c) 547\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the second derivative of -11*k**3\/3 + 32*k - 7. Let p(a) = -3*a**2 + 2*a**2 - a**2. Calculate p(n(q)).\nAnswer: -968*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + (24\/7 - 15\/35)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 716 + -182. Suppose 4*n - 880 = c + z, -4*c + 1051 = 3*n. List the prime factors of n.\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1278 - -2266. Suppose -230*a = -234*a + j. Does 19 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y - 5*y = -40. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence stsd when four letters picked without replacement from tssssttssttssdttsts?\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 33980 divided by 16990?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 121212 (base 3) to base 8\nAnswer: 707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccccccmmcccmmccm. Give prob of picking 3 c and 1 m.\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d**4 - d - 2*d**2 + d - 3*d)*(2 + 3 - 8) - 2*d + 2*d - 17*d**4.\nAnswer: -20*d**4 + 6*d**2 + 9*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2.4 * 4\nAnswer: -9.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5100*o**2 - 1038*o + 1038*o.\nAnswer: 5100*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -767 (base 9) to base 10.\nAnswer: -628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -5*c**2 + 295*c - 842. Determine v(56).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 36066?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1101.2*-1891.\nAnswer: -2082369.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13257700?\nAnswer: 2, 5, 233, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 162606 is divided by 3966?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + y + 5*r = 45, r = -5*y - 20. Let w(m) = -2*m**2 - 10*m - 5. Let s be w(-5). Let p = 7 + s. Sort y, 5, p.\nAnswer: y, p, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -2*i - c - 2*c, 0 = 4*i - 4*c. Suppose 0 = 4*y - 20, -b + i*y + 515 = 2. Let v = b + -298. What is v rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {o: 5, w: 13}.\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6928969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*z + 4*z + 5*z + 3*z.\nAnswer: 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**2 - 11*i - 34. Let k be b(18). What is the greatest common factor of 69 and k?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 8, -0.3, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence af when two letters picked without replacement from {x: 1, a: 5, f: 1, d: 3, k: 4, c: 1}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 + 7*y**3 - 7*y**3 + 9*y**3)*(-4*y**2 + y - y).\nAnswer: -60*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21 - 5*b**2 - 31 - 24*b**3 + 3*b**2 + 7*b**2 + 9.\nAnswer: -24*b**3 + 5*b**2 - 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 8*r**3 - 3*r**2 - 11*r + 13. Is o(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r**(1\/7)*r*r**(1\/26))**(3\/10))**(-5\/14))**47 assuming r is positive.\nAnswer: r**(-30315\/5096)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -22 (b) 0.1 (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the first derivative of 0*t + 0*t**3 - 3*t**2 + 3 + 0*t**4 + 2\/5*t**5. What is the second derivative of i(j) wrt j?\nAnswer: 24*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u - 9. Let l(y) = -y. Give -b(a) + 4*l(a).\nAnswer: 3*a + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Do 1\/1127 and 4 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 355 a factor of 46988155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 59 minutes after 2:33 AM?\nAnswer: 3:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 45*l**2 + 72*l - 609. Calculate i(-47).\nAnswer: 425","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**3 + 3*p**2 - 2*p - 14. Let i(w) = w**2 - w. Let f(h) = 2*i(h) - z(h). What is the units digit of f(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 91*j**2 - 1232*j - 3280.\nAnswer: (j - 41)*(j + 4)*(3*j + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 91417 + -41594612\/455. Let v = d + 1\/65. What is the nearest to -1 in -5, v, -4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.029957 to 4 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z - q = 9*z - 17, -2*q + 10 = -4*z. Put 1, -1, z, 84, 3 in descending order.\nAnswer: 84, 3, 1, -1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -320*o**2 - o + 184. Let i(k) = -2*k**2. Calculate j(i(n)).\nAnswer: -1280*n**4 + 2*n**2 + 184","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*i = -642*i + 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:14 PM and 11:13 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 3828?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 10) to base 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 35528540 to the nearest one million.\nAnswer: 36000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -36157043163091\/43720802307 + 592\/30595383. Let j = c + 827. Let r = -15767\/34296 + j. What is the common denominator of r and -34\/33?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + g - 10 = 5*u, 2 = 3*u + g. Suppose u = -5*b + 62 + 3. Is 13 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 11*i + 1. Let p(c) = 17*c - 2. Let s(d) = n(d) - p(d). Let j(q) = -19*q + 10. Let y(l) = -l + 4. Let x be y(-3). Give x*s(h) - 2*j(h).\nAnswer: -4*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 89720?\nAnswer: 89720","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 4. Let p(n) = -2*n + 6394 - 6394. Let r(m) = -11*m - 3. Let k(a) = 4*p(a) - r(a). Calculate k(w).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -2*q**2. Let f(m) be the second derivative of 5*m**4\/6 + m**3\/2 + 61*m. Give v(f(n)).\nAnswer: -200*n**4 - 120*n**3 - 18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 2683332.\nAnswer: 2683332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -0.09 (b) 35 (c) 3\/4499 (d) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 464*n - 151727. What is t(327)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2.673 + -101.817. Let t = i + 104. What is t rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.92 and -2.\nAnswer: -3.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l**3 + 0*l**3 + 3*l**3 + 0*l**3 - 4 with respect to l.\nAnswer: 21*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n = 4*n + 6 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -867 + 871.09. Let u = -0.09 + r. What is the biggest value in -1, u, 3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y - 5*w + 267, -85 = -y - 3*w - 20. Let u be 2567\/y + 2\/8. What is the second derivative of 1648*o - 1614*o - 8*o**4 + u*o**4 wrt o?\nAnswer: 360*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + -32*(-14)\/4. Suppose -4*i = i - 1000. Let k = i - o. Is 29 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 300 minutes after 4:30 PM?\nAnswer: 9:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 3, a: 10, j: 1, s: 1, i: 4}. What is prob of sequence aj?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by -4558\nAnswer: -186\/2279","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13.3, 0, 0.5, -84 in ascending order.\nAnswer: -84, -13.3, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60696 = -8671*t - 1445*t for t.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3114 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 500861 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 2 + 0 + 10*p - 3. Let u be -1 - 1\/((-4)\/8). Give k(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 716703?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100010011 - 10?\nAnswer: 100010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 317534.\nAnswer: 2, 7, 37, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o**2 + 3*o**2 - 5*o**2 + (-3 - 2 + 3)*(4 - 2*o**2 - 4) - o**2 + 4*o**2 + 0*o**2)*(-1 + 18 + 2).\nAnswer: 114*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 100010000 (base 2) in base 6?\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttsteeetottest. Give prob of picking 2 s, 1 t, and 1 e.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -8*o + 30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 631 - 154. Let w = y - 446. Calculate the remainder when w is divided by 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 164 - 161. What is the closest to 0.2 in y, -3\/4, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/13 in -0.4, -9, -0.3, -0.25, -5, -39?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-8)*y*y**4)**(2\/53))**(-6\/23) assuming y is positive.\nAnswer: y**(-168\/1219)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -79 + -6 + -161 + 209?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8 + -1 - 0*3\/15. Let k = 10 - v. Solve 4*h = -13 - k for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*z**3 + 50*z**2 - 260*z + 280.\nAnswer: 5*(z - 2)**2*(z + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kb when two letters picked without replacement from bkggqkkyygygya?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(3\/7)\/q**(-2\/25))\/(q**8*q*(q*q\/(q*q**(-3\/4)\/q))\/q) assuming q is positive.\nAnswer: q**(-7169\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*j = -24*j + 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 10:50 PM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the first derivative of -34 - o**2 - 1\/3*o**3 - 23*o. Let p(l) be the first derivative of u(l). Calculate p(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2835870208 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/61 + 108\/427. Which is the nearest to j? (a) 0.1 (b) 2\/17 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10 - (1 + 0 - (7 + -3))) + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -400 + 840 + 1540 = 99*s. Solve -s = -29*g + 34*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of c**6\/120 + 9*c**5\/20 + 35*c**4\/24 - c**3\/6 - 12*c**2 - 3*c. Is w(-25) a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*u**5 - 3*u**5 + 4*u**5)*((-5 + 1 + 2)*(0 + 0 - 1) + (45 - 72 + 47)*(-6 + 3 - 3)).\nAnswer: 236*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 440 is divided by 305?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36 + -34. Find the third derivative of -25*d**t + 9*d**2 + 9*d**6 + 17*d**6 + 17*d**6 wrt d.\nAnswer: 5160*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 2 + (2\/(-21) - 2). Let y = -0.16 + 0.06. What is the second smallest value in a, -1\/4, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 50\/(-84) + (-2)\/(-4). Suppose -k - 4*p = 5, 6*k - 5*k + 40 = 3*p. Which is the second smallest value? (a) g (b) 0 (c) -2 (d) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 700485, 1401272, 2102071, 2802888, 3503729, 4204600, 4905507?\nAnswer: 5606456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 5*v = 2*v + 87, i + 22 = v. Which is greater: i or -19?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.021 and 27.\nAnswer: -0.567","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -f - 1. Let m be y(-1). Suppose 5*n - x - 5 - 6 = 0, 0 = -3*n - x + 13. Sort m, n, -3.\nAnswer: -3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-1\/2)))**(29\/4)\/(d\/d**(-4)*d*(d\/(((d\/d**5)\/d)\/d))\/d))**(-40))**(2\/47) assuming d is positive.\nAnswer: d**(670\/47)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2107 = -157*t + 248. Suppose 3*k - 402 = -0*k. Let x = k + -80. What is the remainder when x is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 8*p - 2*p. Which is the smallest value? (a) p (b) 0.7 (c) 4 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -32 + 31.9. What is the nearest to m in 0.1, 2\/5, -4, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 367682101 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2040190749?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57.60991g to tonnes.\nAnswer: 0.00005760991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*m + 15 = 14*m. Suppose m*g - 13 = -7. What is the greatest common factor of 18 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(80)\/(sqrt(1440)*1))\/(6*(sqrt(64) + (sqrt(64)*-2 + sqrt(64))*4)).\nAnswer: sqrt(2)\/864 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 40\/3231 and -137\/516?\nAnswer: 555732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73 or -71?\nAnswer: -73","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 80199 is divided by 16034?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 300 = -3*d + 93, d = 5*p + 191. Let a be (p\/(-26))\/(2\/4). Let -27\/5*q**2 + 3\/5*q**a - 81\/5 + 81\/5*q = 0. What is q?\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -32717131 + -1?\nAnswer: -32717132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 6:20 AM?\nAnswer: 11:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1767*b**2 - 15906*b + 27.\nAnswer: 3*(b - 9)*(589*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 27498*f - 192480. Determine b(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107771652 is divided by 5105.\nAnswer: 5102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.5 (b) 4 (c) -18 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 108 = -11*o + 1098. Calculate the remainder when o is divided by 69.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3368)\/(-1740) + 8\/60 - (-86)\/(-43).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 144 and 4176.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*0.26\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22258 is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2143.68 - -2142.78999. Round b to two decimal places.\nAnswer: -0.89","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 6 - j**3 - 13*j**2 - 11*j + 0 + 25*j. Let y be s(-14). Which is the third biggest value? (a) -1 (b) y (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -75 - -75. Suppose i = -7*p + 6*p + 4547. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 1 (b) -0.2 (c) 88 (d) 0.1 (e) -0.84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10220120 + -3?\nAnswer: 10220111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12371.03mm?\nAnswer: 12.37103","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3681863039 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:09 PM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122653555 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1292*w**2 + 2*w**4 + 1364*w**2 - 3*w**4 + (0 + w**2 + 0)*(-1 + 1 + 2*w**2) + 2*w**4 + 4*w**2 - 4*w**2.\nAnswer: 3*w**4 + 72*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 83872?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 8*g**2 + 27*g + 23. Let h(p) = -3*p**2 - 9*p - 8. Let n(y) = 2*a(y) + 7*h(y). Let k be n(10). What is k rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jbrd when four letters picked without replacement from dhhjhdjjrhhdhbm?\nAnswer: 1\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.871, -0.4, 4, 5, -1\/5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -182. Let s = l - -37. Let n = -5 - -17. What is the greatest common divisor of n and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/3 or 7119?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 160 by 80.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8 + 4)\/(-1) + -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8, 3, 2050?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-6)*y)\/((y*(y\/(y*y*y**3))\/y)\/y*y))\/(y**7\/y*y\/y**(1\/11)))\/((y*y**5*y*y*y**(-1\/2))\/((y**0*y)\/y**2)) assuming y is positive.\nAnswer: y**(-361\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26 + -14. Is y at most as big as 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven halves of a century in years?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve f + 0*v + 6 = 2*v, -2*f - 3*v = -9 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**2 + 5*r + 1. Let p be n(-6). Let s = -480 - -483. Let l(k) = -p*k - 6*k + 2*k**2 + 12*k - k**s - 2 - k**2. Give l(0).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 + -20 + 7 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - ((-2 - 3) + -1 + 3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -71 + 157 + 11*i - 4*i**2 - 92 in the form h*i**2 + y*i + w and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -10*x + 16. Let k(y) = 2*y - 3. Let g(f) = -16*k(f) - 3*w(f). Let j be (-18)\/(-24)*(-11 + 71). Let h(z) = -j - 3*z + 6*z - z + 45. Calculate h(g(s)).\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 272 + -283. Are p and -9 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.801 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 972\/5*t + 231\/5*t**3 + 192*t**2 - 3\/5*t**4.\nAnswer: -3*t*(t - 81)*(t + 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 27 = -3*w, -d - w = 5 - 4. Let m = 0 + d. Let y(b) = b**2 + 6*b + 2. Let z be y(m). Solve -3*x + z*t - 13 = 0, -4*t = 2*x - 0*t + 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 71 and 639.\nAnswer: 639","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 x when two letters picked without replacement from xbbuxxbx?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -20.6 + 24.6. Let f = -20 - b. What is the nearest to 0 in f, 3\/7, 2?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) be the third derivative of y**6\/8 - 14241*y**5\/10 + 5070864*y**4 - 8111104*y**3 + 4933*y**2. Solve d(p) = 0 for p.\nAnswer: 2\/5, 2848","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -19892?\nAnswer: -19889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -2*t - 8, 4*q = -5*t - 0*q - 37 for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56530 by 5.\nAnswer: 11306","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 28268 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.01 and -102.\nAnswer: -102.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v**(-3\/2)\/v))**(-3\/2)\/(v*v**(-3\/17)*v\/(v*(v**(-2)*v)\/v*v)*v))**23 assuming v is positive.\nAnswer: v**(-12627\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 4725*q**2 + 5*q - 4725.\nAnswer: -5*(q - 945)*(q - 1)*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 804?\nAnswer: 804","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 52*b**2 + 4*b - 4. Let z be j(1). Suppose q + u - 2 = 21, -4*u - z = -2*q. Calculate the smallest common multiple of 27 and q.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i = 5*i + 15, 4*i - 4 = -v. Let h = 62 + v. Suppose 0 = 4*l - h - 66. Does 7 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -516219 - 0 - (9 + -11). Let l = 1119087 - z. Let m = l - 3685304. What is m rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - a + 6 = 0, -a - 2*a = 4*v - 20. Is (-102)\/12*(-20)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -64446*r**2 - r + 1710921 wrt r.\nAnswer: -128892*r - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2944364294 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 357854065 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 + -1110110000100?\nAnswer: -1110110001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11.564 + 378.084. Round y to 0 decimal places.\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 23990 = o. Let g = -2 + 4. Suppose 0 = g*y - b + o, 5*y = 2*b + b - 29985. What is y rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -6 + 24. Let v = w + -11. Let d = v + -7.06. Is -1 smaller than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) be the third derivative of -89*c**4\/24 + 2*c**3\/3 + 24*c**2. Is v(-1) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 2. Suppose -2*w = -0*w + n. What are the prime factors of (15\/6)\/(w\/(-6))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3395 and 105?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243119 is divided by 100?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.046 + -2.996. Let n = -0.35 + 0.3. Let i = n + z. Which is smaller: i or 1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*l**2*t**2 + 2377*l**2*t - 353*l**2 - 294783*t**2 - 13*t + 15 wrt l.\nAnswer: -4*l*t**2 + 4754*l*t - 706*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -4*g + 1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 145 minutes before 5:37 AM?\nAnswer: 3:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*87\/232\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 23*t**2 - 3*t + 1. Let d be w(2). Let q = d + -60. Calculate the remainder when q is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 21371 - -3?\nAnswer: 21374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-54)\/(-63))\/(3\/14). Suppose -4*f - 204 = a*t, -3*f - 112 - 47 = t. Is (-9)\/(f\/20)*3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*u = 4*u - 2*a - 15, 5*a = 15. Let t be (-42)\/(-12)*(-8)\/u. Suppose -4*k + 760 = t*f, -2*f = 4*k - 12 - 368. List the prime factors of f.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*w + 5*n = -24*w + 56647, -3*n - 28340 = -w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of -2*b**7\/315 - b**6\/30 - b**5\/45 + b**4\/6 + 4*b**3\/9 - 111*b**2. Let n(o) = 0. Calculate o.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4873 is divided by 81?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 15*b**3 + 65*b**2 + 145*b - 480. Let s(y) = 35*y**3 + 163*y**2 + 362*y - 1200. Let c(v) = 5*s(v) - 12*x(v). What is r in c(r) = 0?\nAnswer: -3, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -203 + 245. Suppose -44 = -2*a - 2*a. Calculate the remainder when z is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 5*w**3\/3 + 604250*w**2\/3 + 18257715740*w\/3 + 36508180840 = 0.\nAnswer: -60422, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 3 = c, c - 5*q = 3*c - 9 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.7, -0.12, 3, 2\/5 in decreasing order.\nAnswer: 3, 2\/5, -0.12, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -7\/521, 7, -0.1, -6, 4, -0.24?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (16 + -16)\/(2 + -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10202 = -1102*v - 28936 for v.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1816 + -1795. Solve -4*i + 4 = 3*k + 11, 0 = 3*k - 3*i - p for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 233 - 153. What is the highest common factor of p and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 69841 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = o - 16, -4*o - 17 = -6*n + 14*n + 3 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1998*g = 1988*g + 12840. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87535287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/w*w**(-4\/11)*(w*w**(-9\/2))**29)**(1\/12) assuming w is positive.\nAnswer: w**(-2659\/264)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*p = 32*p - 682. Let r = p - -63. Let t(x) = x. Let f(h) = -7*h - 1. What is r*f(j) + 5*t(j)?\nAnswer: -2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 54\/33 - (1 + 1). Let t = a - 3\/22. Is t less than -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the second derivative of j**4\/8 + j**3\/6 + 4*j**2 + 2*j. Let r(h) be the first derivative of i(h). Determine r(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 divided by 36938.\nAnswer: -31\/36938","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000004304675 to 7 decimal places.\nAnswer: -0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l + 12 = 4*u - 17, -3198*u + 3199*u = 5*l + 71 for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (7 - 3)*(-6)\/(-8)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 3, z: 4}. What is prob of picking 3 n?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of 0*p + 0*p**2 - 2 - 1\/3*p**3. Let t(z) = z. Give t(k(n)).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 + 22. Suppose 2 = j + k, -5*j - r*k = -j - 9. What is the smallest common multiple of 27 and j?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of 0*l**6 - 1\/60*l**5 + 0*l + 45*l**2 - 67\/6*l**3 + 0*l**4 - 17\/105*l**7 + 0. What is the third derivative of r(t) wrt t?\nAnswer: -816*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19 - -47. Suppose 17*w - 14*w - 245 = 5*a, 3*w - 2*a - 242 = 0. What is the remainder when w is divided by f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 76.72 - -14699757316.4.\nAnswer: 14699757393.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 291665491?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 68, 63, 58, 53?\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -100011100010101011101 (base 2) to base 11\nAnswer: -726011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19736514*l - 32532520 wrt l.\nAnswer: 19736514","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 57*y + 22*y + 0.\nAnswer: 79*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 423 = -3*p, 3*c + 266 = 2*p + c. Let a = p + -138. Put -5, a, 5 in ascending order.\nAnswer: -5, a, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24189617.\nAnswer: 881, 27457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*r = -109, -6*w + 6*r + 98 = -4*w. Is w at least 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (21*(-400)\/(-9450))\/(4\/15)?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 170, 145, 94, 11, -110?\nAnswer: -275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -i + 3. Let f be s(0). Suppose 4*x = 5*x. Suppose -z = -x - 3. Solve z = f*h + 6 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-6)\/(-4))\/(4\/104). Suppose -r = -5*s + 11. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in -0.3, 0, 0.02?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (400\/500)\/((-144)\/(-40))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 minus -11583.0545695?\nAnswer: 11579.0545695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 787032 to the power of 1\/5, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -1 + (3 - (2 + -3)). Suppose -3*b - o = -0*b. What are the prime factors of b\/2*-7*2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.965 + 0.964996622. What is c rounded to 7 decimal places?\nAnswer: -0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 3*f**3 - 8*f**2 + 7*f - 3. What is the remainder when 49 is divided by x(3)?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 40 = 10*i - 10*d, 4*d = 0. Suppose -4*a + a + 5*k = -18, -5*a = -2*k - 30. Solve -a*m = -3*m + 3*y + 3, 0 = 3*m + i*y for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -871*t + 51392. Calculate k(59).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 189*5.41\nAnswer: 1022.49","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -5*r**3 - 2*r**2 + 3*r - 7. What are the prime factors of v(-5)?\nAnswer: 7, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nv when two letters picked without replacement from {f: 1, e: 3, n: 9, q: 2, v: 3}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*u**2 - 2 + 601*u + 32*u**3 - 1188*u + 2 + 589*u.\nAnswer: 32*u**3 + 8*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 - 341\/868?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 156\/(-32) - (-14 - -9). Let a(z) be the third derivative of -1\/6*z**3 - 1\/120*z**6 + 0 - 1\/20*z**5 + 6*z**2 + 0*z - b*z**4. Let a(p) = 0. Calculate p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 - -114. Calculate the common denominator of ((-155)\/(-40) - f)*(-4)\/(-1) and -2 - (-1844)\/864*1.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -107, -138, -167, -194?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1601 - 5?\nAnswer: 1563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 115.9874442 rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 22383786 divided by 2?\nAnswer: 11191893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2.93 + 0.07. Let y = 101 - 97. Let x = 73\/5 + -15. What is the closest to 1 in x, y, c?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3048232?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 8*z - 43 = -3*z, -4*s = z - 25. Let d(b) = 10*b - 8*b - 2*b**2 - s*b + 5 + 3*b**3. Is d(4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4740 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1199, -2389, -3583, -4781, -5983?\n\"Answer: -2*p**2 - 1184*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 69, -3\/7, -349, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 3*n**3 - n**2 + 2*n. Let z be q(1). Solve -3*r + 9 = 0, 5*v = -r + z + 4 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -450 - -455. Let u(q) be the second derivative of 12\/7*q**2 - 3\/140*q**p + 0 - 6\/7*q**3 + 3\/14*q**4 - 15*q. Factor u(d).\nAnswer: -3*(d - 2)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10066057 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: Simplify ((i\/(i*i*i**4\/i)*i**2)\/(i**0\/(i**(-5)\/i)))\/(i\/i**3*i*i*i*i**(-5)\/i)**(3\/7) assuming i is positive.\nAnswer: i**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 12825 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2 + w**2 + w - w**3 + 6 - 7. Let z(p) = -3*p**3 + p**2 - 3*p + 2. Determine -2*v(k) + z(k).\nAnswer: -k**3 - k**2 - 5*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/384 and -67\/36?\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a day in seconds?\nAnswer: 95040","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 w when two letters picked without replacement from {j: 8, c: 2, f: 7, w: 1}?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -10*u**2 + 19*u + 14. Let t(l) = 7*l**2 - 13*l - 9. Let r(n) = -5*h(n) - 7*t(n). What are the prime factors of r(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(100) + (sqrt(100) - 5*(4*sqrt(100) - sqrt(100))) - sqrt(100) - sqrt(100)) + sqrt(100))*-2)\/((sqrt(54)*-5)\/(sqrt(192)*-1 - sqrt(3))).\nAnswer: 84*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/5 + 696\/15. Suppose 0 = -3*l + 47 + s. Suppose 0 = -h + 5*b + 139, 153*b - 3 = 154*b. What is the greatest common factor of h and l?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 + 6. Suppose 6 = q - m*q. Which is greater: q or -1\/32?\nAnswer: -1\/32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 4572, 9144, 13718, 18294, 22872, 27452?\n\"Answer: f**2 + 4569*f + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 7*s**2\/2 - 6*s - 2. Is c(6) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*k**2 + 15*k**2 - 29*k**2.\nAnswer: -29*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 43*f**3 - 2*f**2 - 4*f + 4. Let v(z) = 214*z**3 - 10*z**2 - 21*z + 20. Let i(o) = 11*h(o) - 2*v(o). What is the tens digit of i(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -7*m**3 + 8*m**2 - 6*m + 7. Calculate v(3).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -35, 126, 465, 982?\n\"Answer: 89*a**2 - 106*a - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-10) - (-355)\/25. Solve 2*q + 2*f + v = 0, 0*q = q - 3*f - 13 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/318 and -101\/14.\nAnswer: 2226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(6\/11)*b\/(b*b*b**(-1\/4)*b))\/((((b*b\/((b*b**(2\/31))\/b))\/b)\/b)\/(b\/(((b**(5\/4)*b*b)\/b)\/b))) assuming b is positive.\nAnswer: b**(-133\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 774941663 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the second derivative of y**4\/4 - 8*y. Let x(m) = 27*m + 2 - 35*m + 1 - 3. What is q(x(t))?\nAnswer: 192*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2715?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of -d**7\/2520 + d**6\/180 - d**5\/30 - d**4\/4 + d. Let h(p) be the third derivative of i(p). Factor h(z).\nAnswer: -(z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1692 - 4524. Let m be 322\/r - 3\/(-24). Is 0 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 8 = -g, 8*g - 5*g + 1 = -2*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, p: 7, f: 7}. Give prob of sequence fa.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 190 = 226*j - 236*j for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.23 + -9.77. Let v = 35.3 + -3. Let q = v - 32.4. Which is the third smallest value? (a) q (b) -1\/3 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-75)\/(-140) + 30\/(-105).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -4*u - 54. Let i be s(-14). Let r(c) = -4*c**3 - 6*c**2 + 3*c + 1. Let p be r(1). Let j be ((-1)\/(-5) + -1)*-5. Sort i, j, p.\nAnswer: p, i, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, 1\/3, 66443, -2, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2522377102 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - -4102304423?\nAnswer: 4102304423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) be the second derivative of 19*x**4\/12 + 5581*x. Let f(v) = -146*v**2. Determine f(z(k)).\nAnswer: -52706*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1802, 3834, 5882, 7952, 10050, 12182, 14354, 16572?\nAnswer: 18842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1606, -4410, -9088, -15640?\nAnswer: -24066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*d = 5*r - 83 - 98, 3*d = -9 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 10*j**2 - 232*j + 46. Give r(23).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*m + 3. Let w = m - 0. Which is smaller: 0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1304\/(-10269))\/((-9)\/(-63)).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = 10. Let n = y + 27. Solve 0 = -2*l + n*j + 3*j + 1, 4*l = -4*j - 12 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*o - 19 + 31. Let m = -83 + -18. Let u = m + 99. What is the closest to u in o, -3\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14*(-2)\/(-2)*(-119)\/(58310\/(-700)).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 475*o**4 - 334*o**2?\nAnswer: 11400*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 385888 divided by -16.\nAnswer: -24118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3240)\/(-54))\/(-10))\/((-2)\/26)*(-2)\/4?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -810 by 337334.\nAnswer: -405\/168667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - (2 - 5)) + -8 - (615 - 619)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 7599570*o + 4234105.\nAnswer: 7599570","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 3*h**3 - h**2 - 2*h. Does 33 divide v(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5866963?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2316)\/1544*21\/9.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -2*u. Let r(w) be the first derivative of -5\/24*w**4 + 0*w + 4 - w**2 + 0*w**3. Let b(q) be the second derivative of r(q). Calculate b(y(m)).\nAnswer: 10*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-87)\/45 - (-2 + (-36)\/(-15)). Put -3, o, 1, 0 in decreasing order.\nAnswer: 1, 0, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p - 20*p + 4*p.\nAnswer: -21*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1542 or -1541?\nAnswer: -1542","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -524 - 164a?\nAnswer: -1b6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*l - 3*l - 6300000. What is l rounded to the nearest 100000?\nAnswer: 1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2249831*-0.3\nAnswer: 674949.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 73386 to the nearest integer?\nAnswer: 271","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 3, w: 1}. Give prob of picking 1 w and 1 m.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 5*r**2 - 4*r + 2. List the prime factors of q(-4).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -72*b + 31*b + 40*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 36*u + 114. Let h(w) = -7*w**2. What is c(h(i))?\nAnswer: -252*i**2 + 114","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/11 + (-68)\/352)*11093. Let b = 2574 - 6745. Let a = m - b. Find the common denominator of -99\/4 and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (1\/(-2))\/(3\/(-12)). Suppose 0 = -g*i - 4*d + 14, 5*i - d - 95 = d. What is the remainder when i is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 488 is divided by 439?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 6 - 11*n)*(2*n**2 + 0*n**2 + 0*n**2 + 0*n - 2*n**2 + 0*n + (5*n + 0*n - 4*n)*(-4*n - 3*n + 6*n)).\nAnswer: 11*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442747153 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 7*j - 201?\nAnswer: 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -189*i - 42*i**2 + 881 + 808 - 3*i**3 - 2736 + 777.\nAnswer: -3*(i + 3)*(i + 5)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 772?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of 25*g**4\/4 + 5*g**3\/3 + 5*g**2 + 7109*g + 7950. Find the first derivative of i(f) wrt f.\nAnswer: 75*f**2 + 10*f + 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26441.322 rounded to the nearest one thousand?\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 121176?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 s when two letters picked without replacement from sssz.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 7313261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -24893, -49803, -74713, -99623?\n\"Answer: -24910*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -10*15\/250*(0 - 5)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = -2*u - 83. What is x(16)?\nAnswer: -115","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 66160 to the nearest one thousand.\nAnswer: 66000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 10, -144, 1, 7 in decreasing order.\nAnswer: 10, 7, 1, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -h**4\/4 - h**3\/3 + 5*h**2\/2 + 4*h + 20. Let z be m(-3). Let n = -44 - z. What is n rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 770 (base 16) to base 13.\nAnswer: b36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/6, 1\/5, -4.762, 5, 7?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*r + 29 - 19 = 10 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*o + 0 + 0 = -0. Let h(r) = r + 48. Determine h(o).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11561 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-2\/7)*g*g*g)**(-3\/10)*(g*g*g*g*g**0)**(1\/52) assuming g is positive.\nAnswer: g**(-671\/910)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1269740011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Calculate 22930477.2518 + 166.\nAnswer: 22930643.2518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 22*w + 3070. Calculate i(-139).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-6*t**2 + 4*t - 4*t)*(-t - 3*t + 11*t)*(22 - 1 - 7) as m*t + u + k*t**2 + s*t**3 and give s.\nAnswer: -588","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -35 + 9*c + 43 + 10*c. Is n(4) a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.05, 0.3, -84, 0, 1, -4, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-512)\/24)\/(-16))\/(3\/12*(-5)\/45)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2150?\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 0*c**2 - 5*c**2 - 2*c + 5*c - 4*c**2. Let l(x) = 19*x**2 - 7*x. Determine -3*l(h) - 7*s(h).\nAnswer: 6*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 2 - 9*f + 3*f + 2*f.\nAnswer: -4*f - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 258*y**2 + 257*y**2 - 1040*y**2 + 261*y**2 + 258*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (10\/36)\/((-20)\/480*-30). Factor 0*t**2 + 0*t**3 + 0 + i*t**4 + 0*t.\nAnswer: 2*t**4\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y**4\/6 + 1403*y**3\/2 - 97865*y**2\/3 = 0. What is y?\nAnswer: -4255, 0, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -10*j - 59. Give d(-8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31939.\nAnswer: 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.3804 + -6.5. Let l = -0.139 - s. What is l rounded to three dps?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 35?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(3*(sqrt(13) - sqrt(13)*-4*6) + -1 + 2 + sqrt(1300) + -4 + (sqrt(1300)*-1*5 - sqrt(1300) - sqrt(1300))))**2.\nAnswer: -810*sqrt(13) + 26406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 34*g**2*y**3 - 3*g**2 - 3*g*y**3 + 340*y**3 - 2641*y**2 wrt y?\nAnswer: 204*g**2 - 18*g + 2040","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 5*b**2 + 5*b - 7. Let a be k(-6). Let d = a - 2. Sort 4, 5, d in ascending order.\nAnswer: d, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162*a**5 + 7326*a**4 - 227929*a**3\/2 + 795091*a**2 - 2526160*a + 2974400 = 0. What is a?\nAnswer: 65\/18, 8, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 + 18*i**2 + 37*i - 6. Suppose -31 = 2*x - 4*x + 5*v, 0 = x + v - 12. What is the thousands digit of z(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5544\/(-45)*(-3480)\/48 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 2*a**4 - 602*a**3 + 42366*a**2 + 464690*a - 2498600 = 0?\nAnswer: -13, 4, 155","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:31 PM and 12:53 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22022 + 29744. Is d a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = j**3 + 6*j**2 + 5*j + 3. Let y(x) be the second derivative of -x**4\/12 + 21*x**2\/2 + 4*x. Let h be y(0). Let l = 16 - h. Determine c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -678*g**3 + 7821*g**2*v**2 - 29464858*v**2 with respect to g.\nAnswer: -2034*g**2 + 15642*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 15) in base 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -4\/137 - 13281\/274. What is the common denominator of (3\/156)\/((-3)\/220) and b?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 + -35. Let w = o - -39.0033. Round w to 3 dps.\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 113874 to the nearest ten thousand.\nAnswer: 110000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-6)\/(-6)*(-4)\/(-1). Suppose 4 = z + 3, 0 = -5*b - 3*z - 7. Sort b, l, -5 in increasing order.\nAnswer: -5, b, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -6*m**2 - 2*m - 11. Let h(t) = -4*t**2 - t - 6. Let d(v) = -5*h(v) + 3*i(v). Let o(w) = w - 1. What is d(r) - 2*o(r)?\nAnswer: 2*r**2 - 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -216 + 253. Calculate the remainder when 101 is divided by o.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + 0\/1 + 1. Let w = 3 + m. Solve 2 + w = -h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**4\/4 - 4*f**3\/3 + f**2 - 2*f - 130. Let j(q) = q + 1. Let p be j(-6). What is a(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006383 to 4 dps.\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -31 + 29. Which is the third biggest value? (a) 4 (b) 5 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12 - (-486)\/(-36))*(-1 - (-50)\/60)*28\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 2*((sqrt(1053)*-1 - sqrt(1053)) + sqrt(1053)))**2 + sqrt(13) + (sqrt(1872)*3)**2 + 4*(sqrt(13) - sqrt(52)\/sqrt(4)).\nAnswer: 181*sqrt(13) + 21085","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -6*z - 4*a + 34, 2*a + 28 = 5*z. Let w = 51 - 54. Put z, 4, w in decreasing order.\nAnswer: z, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*l - 73*l - 666 = -192*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - 9739*i + 6*i**3 + 4 - 2*i**3 + 9731*i to a*i + s + r*i**3 + d*i**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is -2274202 != 0.05?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -97 = -6*z - 49 for z.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 * 215.91.\nAnswer: 12.9546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 679 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 8 - 23 - (-12 - -3)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -163*i - 48383 = -897*i - 5077 for i.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.551 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times -4.22?\nAnswer: 156.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w and 1 l when three letters picked without replacement from hwlhwwwwl?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 5593848 and 234.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-9)*((-288)\/(-56))\/12*10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-221)\/136 - 18\/(-96)*-2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*s**2 - 20*s**2 - 88*s**2 + (-3*s + 2*s + 2*s)*(2 + 2*s - 2) - 1 + 2*s**2 + 1.\nAnswer: -98*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 1024 = 4*h + 3*z, -4*z - 1032 = 4*h. Let r = -121 - h. What are the prime factors of r?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -95, -84, -39, 58, 225, 480, 841, 1326?\nAnswer: 1953","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - 16 = 0. Let g(h) = -h + 9. Let l be g(x). Suppose -5*u = -10, -l*u + 2 + 14 = c. Solve -4*k - 9 = -z + c, -22 = 5*k + 2*z for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*d + 14*d = 14 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 2*l + 3*l)*(-8 + 5 + 4)*(-4*l**2 + 5*l**2 - 3*l**2)*(0*l + 0*l + l**2).\nAnswer: -2*l**5 - 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 341610291 and 748?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 60*126\/560*(4\/(-3) + 0)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + (-1*sqrt(288))**2 + sqrt(288))*-1 - -1*(1 + sqrt(288) + -3 - sqrt(288))**2.\nAnswer: -283 - 12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2831*r**2 + 98*r + 11.\nAnswer: -5662","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.8 (b) -2\/11 (c) -2 (d) 8\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -14 and -0.1348436?\nAnswer: 13.8651564","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -34837, 3, 9\/5 in ascending order.\nAnswer: -34837, -2, 9\/5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*f + 40*f - 1 - f**3 + 31*f + f**2 - 114*f in the form m + r*f**2 + n*f + k*f**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/5 in 0.21, 5\/7, 0.11?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07 - -0.05104158.\nAnswer: -0.01895842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827361 to the power of 1\/2, to the nearest integer?\nAnswer: 1681","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 - -4c7a61?\nAnswer: 4c7a0a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2081, -8300, -18693, -33260?\nAnswer: -52001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in k + 5*k + 0*k - 5*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 778, 6378, 21506, 50926, 99402, 171698?\n\"Answer: 794*h**3 + 42*h - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-5))\/2*28*(-180)\/68544.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 335 - 63. Suppose 33*c - 29*c - q = 0. Calculate the remainder when c is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f*f**(-17)*f))\/f)\/(f*f\/((f\/f**(-2))\/f)) assuming f is positive.\nAnswer: f**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 137408 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -290, -543, -764, -953, -1110, -1235?\n\"Answer: 16*s**2 - 301*s - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) be the first derivative of 0*y + 0*y**3 + 2 + 7\/2*y**2 + 1\/4*y**4. Find the second derivative of c(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1353617?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o - 2. Let g be t(-5). Suppose -2*y + g*y = 0. Suppose -3*s + 12 = -7*s. Put y, 1, s in descending order.\nAnswer: 1, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -7*v + 4*v. Let d(r) = -12*r - 12. Calculate the remainder when d(v) is divided by 31.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 70*j + 67*j - 210*j + 75*j + 208.\nAnswer: 2*j + 208","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-11425)\/(-457)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g**2 + 77*g + 60. Let j be ((-4)\/5)\/(8\/(-300)). Let i(u) = -17*u - 6*u**2 - 3*u**2 + 56*u + j. Let k(d) = -11*i(d) + 6*n(d). Factor k(p).\nAnswer: 3*(p + 1)*(p + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3*0.04\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = 13*k**3 - 8*k + 17. Calculate b(2).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 435 is divided by 266?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-180)\/(-22) + 4\/(-22). Let w be r*(-1 + 2 - 4). Let s be ((-1)\/2)\/(3\/w). Put -1, s, -4 in descending order.\nAnswer: s, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**3 - 524*u**2 - 16043*u + 3376. Determine x(553).\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2122 - -2118.322. Let v = g + -0.022. Let x = v - -4. Put 1, 0.2, x in descending order.\nAnswer: 1, x, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -2. Let u = -1265 + 842. Let x = u + 422.5. Which is the third smallest value? (a) x (b) -1\/4 (c) 0.04 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 364 divide 2518516?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/52 in -5, 33, 0.1, 0.03?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2649293761?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 f when two letters picked without replacement from {m: 1, q: 1, c: 4, f: 1, l: 2}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 2 e when three letters picked without replacement from {e: 4, m: 6}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z = z + 3*j - 26, 4*j = 5*z - 12 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 5 - 3)*(-1 - w**3 + 1) + (-w**3 + 4*w**3 - w**3)*(-1 + 3 + 4) to p*w**2 + f*w + t + j*w**3 and give j.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 21, -5, 4, 15 in descending order.\nAnswer: 21, 15, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 47*t**3 + 51*t**2 + 20970*t - 13. Let p(d) = -15*d**3 - 17*d**2 - 6990*d + 4. Let o(z) = -4*g(z) - 13*p(z). Find the second derivative of o(r) wrt r.\nAnswer: 42*r + 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -411792 divided by -16\nAnswer: 25737","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 2 a when three letters picked without replacement from aeaaeaeyaaacaeea?\nAnswer: 9\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -73 by -28.\nAnswer: 73\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -279753, -559459, -839111, -1118709?\n\"Answer: 27*a**2 - 279787*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*r + 188. Let g = r - 37. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*l - 51*l = 339. Let r = -304 - l. What are the prime factors of r?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - u - 5*w + 339 = 0, 0 = 5*u + w - 813. Calculate the greatest common factor of u and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -210034\/27 or -7779?\nAnswer: -210034\/27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 9 = 3*n, 2*n + 5 = 5*i + 4. Let r be 6\/15 - 69\/(-15). Put i, r, 3 in descending order.\nAnswer: r, 3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23602865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 11425 less than 8759?\nAnswer: -2666","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -32842794434+0.11\nAnswer: -32842794433.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 16 - 12*q + 16*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -293 + 297. Solve -2*s - s - 3*p - 21 = 0, 0 = -t*s + 3*p + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, 17, 1.3, -4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -62*j + 56*j - 127*j + 1064 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314857*k**2 - 5 + 157427*k**2 + 157421*k**2.\nAnswer: -9*k**2 - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 20299636 + 4313432. Suppose 7195644 + i = 2*p. What is p rounded to the nearest 1000000?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 41\/29465870?\nAnswer: 41\/29465870","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 - 2. Let l(d) = -2*d**2 - 3*d + 6. Let w(t) = l(t) + 5*n(t). Let u(c) = c**2 + c + 1. Calculate 4*u(v) + w(v).\nAnswer: -3*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 15 = -5*y, -y + a = 1 + 4. Suppose -2*w = 2*l - 20, l - 4*l + 15 = y. Calculate the remainder when 7 is divided by w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - 36*u**2 + 14*u + 39. Let h be n(35). Which is greater: -695 or h?\nAnswer: -695","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**3 - 33*k**2 - 240*k - 12. What is j(39)?\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -46547, -186194, -418941, -744788, -1163735?\n\"Answer: -46550*w**2 + 3*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(176) + 6*-2*sqrt(176) + -1 + sqrt(176) + 2)*-3.\nAnswer: -3 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -5*k**3 + 2*k**2 - 4*k - 2. Let g(m) = -10*m**3 + 5*m**2 - 9*m - 5. Let n be 3 + 6\/4 + 4\/8. What is n*t(p) - 2*g(p)?\nAnswer: -5*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 42 + 34. Let s = n + -75.997. Let h = -1.073 + s. What is h rounded to one decimal place?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 535005 is divided by 275?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -192*d**2*q**2 + 9*d**2 - 13*d*q**2 - q**2 - 14897*q wrt d?\nAnswer: -384*d*q**2 + 18*d - 13*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 99168 is divided by 211?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -2475336 divided by -4?\nAnswer: 618834","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -8*g**3 + 4*g**2 - 3*g - 4. Let i(u) = -9*u**3 + 4*u**2 - 4*u - 3. Let c(n) = -5*i(n) + 6*s(n). Let l be c(3). Is (-39088)\/l - 4\/(-6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that -4*s**5 - 552188*s**4 - 19057802476*s**3 - 57170094340*s**2 - 57168989984*s - 19056145936 = 0.\nAnswer: -69022, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 - -13. Let f = -35797 + 35791.9986. Let a = f + g. What is a rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 24\/(-3) + 2 + 0. Let c be 8\/((-3)\/(r\/4)). Let a = 26 + -31. Put c, a, -1 in descending order.\nAnswer: c, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**2 + 8*z - 23. Suppose 265 = 47*c + 735. Calculate m(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 133 + -130 - (-3 - (2 + -11))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2332 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of -p**3\/6 - 3*p**2\/2 - p. Let w be m(-7). Suppose -3*y = -w*y. Solve 2*i = 2*a - y*a - 10, 5*i = a - 13 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*x**2 + 1194448*x + 19112192.\nAnswer: -4*(x - 298628)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -51*v - 174*v + 16*v + (-132 + 268 - 110)*(-2*v + 0*v + 4*v) to d*v + l and give d.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -770*p**4 - 804.\nAnswer: -3080*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.02 - -0.38. Let m = -525 + 524.8. Put -20\/13, m, f in decreasing order.\nAnswer: f, m, -20\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 421542232 (base 6) to base 3\nAnswer: 111212102011102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-19)\/(760\/48).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, -0.2, -2\/5, -82 in descending order.\nAnswer: 1\/2, -0.2, -2\/5, -82","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of -25*k**4\/4 - 25*k**2\/2 - 42. Find the second derivative of m(g) wrt g.\nAnswer: -150*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -17 + 1b540033?\nAnswer: 1b540018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 4*i**2 + i - 4. Let q be k(2). Let w = q + -9. Suppose w*x = 4*x + 41. Is x a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -110032221 + 0?\nAnswer: -110032221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + q - 61 = 0, 4*t - 83 = -4*q + q. Suppose -t = -0*k - 2*k. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -22 + -2 - (0 - -2).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes after 5:40 AM?\nAnswer: 8:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.5, 0.01, -1?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 15 + 6 = 0. Let y be (n - 1)\/((-10)\/(-25)). Let p(i) = 4*i - 57. Let f be p(15). Solve f*m + y*k = 4*k - 17, -5*k = 10 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3011 is divided by 1450.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + p - 4 = 0. Let h = 0 + 4. Suppose -h*j + 13 = -35. Solve p*k - 6*k = j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/15)*t\/((t\/t**(-1\/2))\/t*t)*((t**(-1\/3)\/t)\/t)\/(t\/(t**(-1)*t)))\/((((t\/t**(-7))\/t*t)\/t)\/t**(-12))**(1\/2) assuming t is positive.\nAnswer: t**(-66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -271*d + 889256 + 716335 = -396557. Is d a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1579 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00054067 rounded to four decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3b301 (base 15) to base 7.\nAnswer: 1416664","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0.5, -3\/16, -0.05, -1 in increasing order.\nAnswer: -1, -3\/16, -0.05, 0.5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 325 + -5\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -16*d - 15. Let m(u) = -8*u - 8. Let x(j) = -3*f(j) + 5*m(j). Let o = 1062 - 1050. What is the remainder when x(5) is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8682 - -14785. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = 15, -2*p = -4*u + 12 - 38 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(18\/81)\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/(p\/((p\/p**0)\/p))*p)**(-18)\/(p\/p**(-2\/3))**(-8\/9))**(-4) assuming p is positive.\nAnswer: p**(1784\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 101 - 11. List the prime factors of d.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 299*t**3 - 150*t**3 - 150*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1738 = 4*w - 594. Let s = 143079\/8 + -18465. Let u = s + w. What is the common denominator of u and 52\/5?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 22 - 16)*(-20 + 20 - 10*t)*((-5 + 2 + 2)*(-2 - 5 + 5) - 4 + 2 + 1).\nAnswer: 490*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 11*g - 1. Let y = 5 - 4. What is the units digit of x(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -21, -43, -93, -183, -325?\n\"Answer: -2*k**3 - 2*k**2 - 2*k - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.555444 centuries to months.\nAnswer: 11466.5328","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -59 (b) 0.2 (c) -4 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 5 - 3)*(0*v + 3*v - 5*v) + (8 + 3 - 2)*(4 - 4 - 3*v).\nAnswer: -25*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i when two letters picked without replacement from {i: 6, v: 3, j: 8}?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.01*-234\nAnswer: 2.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**4 - 322*q**3 - 2*q**2 - 4184*q?\nAnswer: -36*q**2 - 1932*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:03 PM and 4:49 AM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 5*v**5 + 0*v**5 - 4*v**5 + v**5 + 7*v**5 + (61865*v**2 - 61865*v**2 + 496*v**4)*(-2*v - v + 5*v).\nAnswer: 997*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 433b (base 14) in base 9?\nAnswer: 16837","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -2338 and 1.3.\nAnswer: -2336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*v**3 - 11*v**3 - 3*v**3.\nAnswer: -35*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3734*j**2 - 3735*j**2 - 3728*j**2 + 11198*j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(432) + -5)**2*-5 + (4*(3*(sqrt(432) + (0 + sqrt(432) + sqrt(432) - sqrt(432))) - sqrt(432)))**2.\nAnswer: 600*sqrt(3) + 170515","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from {b: 2, p: 2, r: 7, m: 7}.\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*o - 10 = 16*o. Suppose -o*h + 8 = 3*h. Let d = -1 + -1. What is the nearest to h in -5, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 6*f - 4. Let l(u) = -u**2 + 3. Let x be l(3). Let p be s(x). Round p to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f + 2. Let k(l) = 441*l - 24. Let q(b) = 68*b - 4. Let h(v) = -2*k(v) + 13*q(v). Calculate -3*h(m) - 5*i(m).\nAnswer: -m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 5287*65\nAnswer: 343655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3828948 to the nearest integer?\nAnswer: 156","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2616467695?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1041.\nAnswer: 3, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 15 = 4*s. Let i be 17\/s + (-26)\/39. Solve i*z + 3*d + 25 = d, 15 = -3*z + 5*d for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kekeykyyycekyecyp. Give prob of sequence cyy.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1374359?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = 5*k - q, 4*k - 17 = q + 14. Suppose -23 = 5*j - 3, -j = -5*a + 59. Calculate the remainder when (-43 - -1)*(-4)\/k is divided by a.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 157, -32.9, 18, 0.2 in decreasing order.\nAnswer: 157, 18, 0.2, -32.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) 4 (b) -84 (c) 3\/4 (d) 1 (e) 486\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -3\/65, -2\/7, 0?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2394506436?\nAnswer: 2, 3, 7, 41, 695269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 + -9 + -10 + 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -142770\/13 >= -10981?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 2352.\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 55\/2 of a minute?\nAnswer: 1650","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4396383 and 288.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 725.2208 litres to millilitres.\nAnswer: 725220.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 7\/(-4)*-4 + -4. Find the third derivative of 9*b**5 + 3*b**5 + 10*b**3 - 10*b**l - 4*b**2 wrt b.\nAnswer: 720*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*a + 39*a = 9*a + 240 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 67\/(-95) - (60\/25 + -3). Put t, 0.5, 1\/3, -0.9 in decreasing order.\nAnswer: 0.5, 1\/3, t, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 35*x**4 - 4898*x**3 + 12*x**2 - 2*x + 1322009.\nAnswer: 420*x**2 - 29388*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 75*h**2 + 12685*h + 244020.\nAnswer: 5*(h + 147)*(15*h + 332)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -6*r + 6845. Are r and 1369 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33352, -60432, -87512, -114592, -141672?\n\"Answer: -27080*s - 6272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2204*i**2*n**5 - 2*i**2*n**2 - 1818*i**2 wrt n.\nAnswer: -132240*i**2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 499713 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -1, 8172, 3, 43 in ascending order.\nAnswer: -1, 0.2, 3, 43, 8172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 655 minutes after 11:13 AM?\nAnswer: 10:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -40*f**3 + 2*f**2 + 6*f - 7. Give d(1).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hxxxxhhhhxhhh.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7141626 (base 10) to base 8.\nAnswer: 33174372","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4311 take away -135315?\nAnswer: 135314.5689","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes after 4:20 AM?\nAnswer: 6:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*l + 54 = -15*l + 14*l for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.5*-2.6.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is a744d (base 14) in base 4?\nAnswer: 1202223331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 + 2*l**3 - 2*l**2)*(52 - 727*l - 2*l**2 - 142 + 90).\nAnswer: -4*l**5 - 1454*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -828360 divided by -7670?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 divided by 38.\nAnswer: -8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 350197558 to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/2 of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 102392 to the power of 1\/2, to the nearest integer?\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 5*s + 14. Calculate t(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -349.999338 - -350. What is b rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20462 - -7933. Let m = -12528.989943 - c. Let g = -0.01 + m. What is g rounded to 5 decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-60)\/40*(314\/(-6) - 1). Suppose 4*g = -44 + t. Solve -8*c + 5*c - g = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 138026800*z**2. Let b(r) = -2*r**2. What is m(b(c))?\nAnswer: 552107200*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 684975 and 23075?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the third derivative of -36*s**2 + 4\/5*s**5 + 1\/15*s**6 - 4\/3*s**4 + 0*s + 0 - 64\/3*s**3 - 2\/105*s**7. Factor g(k).\nAnswer: -4*(k - 4)*(k - 2)*(k + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -5*l**4 - 2266780*l**3 + 4533575*l**2 - 2266790*l = 0?\nAnswer: -453358, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.023 - 2.023. What is the fourth smallest value in 3, -0.2, -1\/2, k?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100070 + -4723?\nAnswer: -105013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - 16*v - 12. Let y be n(-15). Let c be 170\/y*21\/14. Let h = 84 - c. Sort h, 6, 1, -6 in decreasing order.\nAnswer: 6, 1, h, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1045*v = -4862 - 16824 + 3952 - 9436 for v.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 529, 997, 1465, 1933?\nAnswer: 2401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-588)\/252 + 22\/(-6). Put 9, 0, -1, k, -5 in descending order.\nAnswer: 9, 0, -1, -5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (91 - 3) + (13 + 0 - (24 - (-29 + 31)))?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 745*-1319.6.\nAnswer: -983102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 4, 6, -12, -9, 3 in ascending order.\nAnswer: -12, -9, 3, 4, 6, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35986 - 12*o - 71975 + 35984.\nAnswer: -12*o - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 5 + -204?\nAnswer: -166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes before 4:20 PM?\nAnswer: 9:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -33*o + 4. Let w be p(-4). Suppose d - 5*z = 50, w = -0*d + 3*d - z. Suppose -3*a + d = -0*a. Calculate the greatest common divisor of a and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 3*h - 180. Suppose 48*p = h*p + 63. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, y: 3, i: 5, g: 6, q: 1}. Give prob of picking 2 i and 2 g.\nAnswer: 15\/238","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 41274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3237*s**3 - 12287646*s**2 + 11660958972*s + 21614424.\nAnswer: 3*(s - 1898)**2*(1079*s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of f**5\/10 - f**4\/4 + f**3\/2 - 5*f**2\/2 - f. Let s be (-6)\/(-4)*20\/(-15) - -6. Is j(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 26 (b) 46 (c) 0 (d) 0.2 (e) 2\/17 (f) -2 (g) -3\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 92.48 centimeters?\nAnswer: 0.0009248","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of 7\/30*d**5 + 0*d**4 + 0*d**7 + 5*d**2 + 0 + 0*d**3 + 0*d**6 + 0*d + 1\/24*d**8. What is the third derivative of u(b) wrt b?\nAnswer: 840*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003815112347 to six decimal places.\nAnswer: 0.000382","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5 is divided by (-51)\/(-18) - (-1)\/6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 836 and 1027539.\nAnswer: 45211716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 bigger than 197?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 + 20*c + 24*c + 2*c - 101*c - 4.\nAnswer: -55*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 22 - ((-1)\/1)\/1. Suppose 2*t - 6*t + k = -8, 2*k - z = -5*t. Find the third derivative of 2*r**2 + 3*r**t - 4*r**3 + 3*r**3 wrt r.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -632 - 87 = 51*m - 5 for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226 = -g - 5*d, 0 = 23*g - 27*g - 3*d - 853. Let c be -3 + 4 - 938\/2. Let w = g - c. What are the prime factors of w?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 3*r**4 + 3*r**2 + 30*r + 97. Let y(a) = 5*a**4 + 2*a**2 + 29*a + 98. Let u(t) = -2*q(t) + 3*y(t). Find the first derivative of u(c) wrt c.\nAnswer: 36*c**3 + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s**2 - 6*s - 8. What is c(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 271924?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*l - 252 = 5*l. Suppose -4*c - l = -54. Sort c, 1, -4 in increasing order.\nAnswer: -4, 1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that -3042*z**3 + 12164*z**2 + 36520*z + 48 = 0.\nAnswer: -2, -2\/1521, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2994 to the power of 1\/2, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -80. Suppose -4*l = 3*c - t, -l + 5*c - 13 = -2. What is the highest common factor of l and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.3012 - -0.3012. Which is the second biggest value? (a) -0.4 (b) -1\/2 (c) t (d) -0.06 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 18*k + 26. Is s(20) a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is b + 9595?\nAnswer: 95a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 10*h**2 + 9*h + 5. Let t be m(9). Let u = -1 + t. Solve 3*g - 5*v = -12, -g + 0*g + 5*v = u for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + -3. Let t be (6\/4)\/((-3)\/a). Solve -2*h**t - 2*h**3 - 5*h**4 + 2*h**5 - h**4 + 8*h**3 = 0 for h.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -50315*c. Let l(d) = -d**2. Determine s(l(i)).\nAnswer: 50315*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 + 6. Let j(q) = 3*q**2 - 1. Let f be j(-1). Suppose -f*n = 2*n. What are the prime factors of l(n)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -121*n = -127*n + 1212. What is the common denominator of (-13)\/364*n\/(-3) and 5\/12?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11292.79mm in kilometers?\nAnswer: 0.01129279","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o, 1 b, and 1 y when three letters picked without replacement from lloby.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -4 (c) 3.3 (d) -31\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 45 + 543440?\nAnswer: 543505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 72438 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -338 + 665. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -1\/88, 4, -2\/7?\nAnswer: -1\/88","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*2 + -13 + 5. Calculate the least common multiple of 2 - y\/((-6)\/(-7)) and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 81964.1ug in tonnes?\nAnswer: 0.0000000819641","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**3 - 2*a. Let r(f) = f**5 - 8*f**4 + 22*f**3 - 16*f**2 + 13*f. Let x be 2*-2 - 0\/((-20)\/(-4)). Let p(m) = x*y(m) - r(m). Factor p(b).\nAnswer: -b*(b - 5)*(b - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -6*((-3)\/(-9) + -1). Let l = 128 - f. List the prime factors of l.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 3*g - 3 = 0. Let a be (g - 1) + 480\/6. Suppose -3*t + a + 103 = -5*f, 4*t - 227 = f. Is 28 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((36\/(-10))\/(-3))\/(4 + -2). Let n = -0.03 + 3.03. What is the nearest to -2\/5 in n, r, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = l**2 - l. Let o(c) = -c**2 + 15*c. Let p(b) = -5*k(b) + o(b). Let r(f) = -2*f**2 + 7*f. Calculate -5*p(i) + 14*r(i).\nAnswer: 2*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q = 2*q. Let f(s) be the third derivative of s**4\/24 + s**3\/6 - 465*s**2. What is f(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lsws when four letters picked without replacement from zvvzsuwlssuswu.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g - 3*g**2 - g)*(1 - 1 + 3) - g**2 + 4*g - 127 - 11*g**2 + 124.\nAnswer: -21*g**2 + 4*g - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 7, -184, 0 in decreasing order.\nAnswer: 7, 0, -1, -184","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 2*y - 43 = -0*v, 4*y + 31 = -3*v. Let b = v - -14. Solve -b*h - 4*g = -40, -2*h - 6*g + 33 = -g for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ykkgyyyey. Give prob of picking 1 y and 1 g.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45)\/12*6\/60.\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - -1 - (-1497)\/12. Let c = 125 - a. Is c != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -98*u**5 - 11*u**3 + 117*u**2. Let n(f) = 33*f**5 + 4*f**3 - 39*f**2. Let w(m) = 11*n(m) + 4*v(m). Find the third derivative of w(j) wrt j.\nAnswer: -1740*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-24)\/18*(-2 - 5\/2). Let a = -114 + 117. Solve -5*s + 4*s - a*z + 11 = 0, 3*s - 4*z = -i for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2295772769 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 189138983 to the nearest integer?\nAnswer: 574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -d**3 - d**2 + 4*d + 3. Let c be g(-3). Let p = c - 8. Let s be (p - 1) + 3\/(-3). Let i(q) = -2*q + 1. Determine i(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(-3\/8)*x*x))\/(x**(-1\/27)*x))\/((x\/(x\/(x*x**41)*x*x))\/(x**(-41)*x)))**(-12\/13) assuming x is positive.\nAnswer: x**(17839\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r + 311 - 755. List the prime factors of r.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -4\/5? (a) -64.2 (b) 1\/2 (c) -0.4 (d) 5\/2 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 105226102144 + 0?\nAnswer: 105226102144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, -27, -53, -89, -135?\n\"Answer: -5*w**2 - w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**2 + 20*b + 143. Let k be q(23). Suppose 65*f - k*f = -9531. List the prime factors of f.\nAnswer: 3, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**2 + 7 - 3 + 2*l + 5*l. Let q(r) = -3*r - 2. Determine 5*q(t) + 2*s(t).\nAnswer: 2*t**2 - t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 20839*m**4 + 36*m**2 + 24*m - 4 wrt m.\nAnswer: 500136*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = 87 - 292. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -178*i + 889. Let w be y(5). Let f = 8 - 11. What is the fourth biggest value in w, 0, -2, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -6*n**3 - 121*n**2 - 21*n + 19. What is the remainder when 155 is divided by p(-20)?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 14, l: 1}. What is prob of picking 2 j?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -326 - -516. Let o(f) = -4*f - 7 + 10*f + 0*f + 0 + 3*f**2. Let a be o(3). Calculate the greatest common divisor of j and a.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 49 + -42.7. Let w = u + -6.1. Which is smaller: w or 0.018?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 660088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*n = 20 + 8 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 7*y**2 + 17*y - 7. Let t(g) = 4*g**2 + 8*g - 3. Let w(l) = -3*r(l) + 7*t(l). Find the second derivative of w(b) wrt b.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve a**2\/2 + 5*a - 11\/2 = 0 for a.\nAnswer: -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 30153227009 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = -2*b - 16, -6*b + b = 5*t + 30. Let q(f) = -f**2 - 5*f - 3. Let r be q(b). Let h = -1 - r. Is 6 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2\/(-4) + (0 - 6\/(-4)). Let k be ((-10)\/(-7))\/(2*l\/14). Let o be ((-27)\/(-9))\/(6\/10). Solve 5 = -o*n - k for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(-7)\/(-42)*4.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -26\/105199 or 0?\nAnswer: -26\/105199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -t**3 - 2*t**2 - 4*t - 4. Let d be v(-2). What is the tens digit of 4*d\/(24\/15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 34 - 34.4. Let d be ((-2)\/2 + 0)*-5. Put q, -0.3, d in ascending order.\nAnswer: q, -0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7 + -5 - (4 - 7)) + 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -32, 5, -24 in decreasing order.\nAnswer: 5, -24, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*o*q + 2437*o - 4*q + 86 wrt o?\nAnswer: 2*q + 2437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60 - -114. Suppose 0 = -2*n - 4*n + a. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*x + 2*x - x)*(4*x**3 - x**4 - 3*x**3 - 2 + 2*x**4).\nAnswer: 3*x**5 + 3*x**4 - 6*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 981, 1890, 2787, 3666, 4521, 5346, 6135?\nAnswer: 6882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 92578810 divided by -9805?\nAnswer: -9442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -939662.6 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 1\/2*x**2 + 1\/6*x**3 + 0 + 5*x. Let z(b) = -3*b - 2. What is -2*w(d) - z(d)?\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -18.1 - -18. Let b = -0.2 + 0.2. Let q = 0 - b. What is the third smallest value in c, -0.2, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1*-2815.\nAnswer: 2815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = i + 1 + 1, 0*h - 6*h - 82*i + 41*i - 90 = -5*h for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/3 less than 1213110?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*y, -2*h + 324 = h + 2*y. Does 12 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-30)\/150)\/(23\/(1840\/336))?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7 - 5. Find the third derivative of -2*n**2 + 0*n**6 + 6*n**s - 3*n**6 - n**6 wrt n.\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/39)*m)\/(m*m**(-20)) assuming m is positive.\nAnswer: m**(778\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.6 (b) 3\/7 (c) -39 (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*q**3 - q**2 + 147 + 10*q**2 - 292 + 142 to the form o + s*q**2 + h*q**3 + w*q and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(42)\/sqrt(252))\/((sqrt(24)*5)\/sqrt(12)).\nAnswer: sqrt(3)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1 and 0.3396.\nAnswer: -0.6604","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 15 and 12663675.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - f - 2*f)*(-4 + 5 + 2) + (-2 - 2*f + 2)*(1 + 4 - 6)*(-4 + 3 + 0) + 2*f + f - 5*f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 6, -4*n + 9*g = 8*g - 9. Suppose -n*a = 4*d - 824, a - 4*a + 3*d + 852 = 0. Does 56 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 430, 1770, 4008, 7144?\n\"Answer: 449*s**2 - 7*s - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(168)\/sqrt(6)*-6*-3)\/(2*sqrt(484)*-2))**2.\nAnswer: 567\/484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11782829 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110110100 - 101?\nAnswer: -11110111001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 204 and 289?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 8\/25 of a litre?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(6\/7)*q**(-2)*q)\/((q**2\/q)\/q*(q\/(q*q\/((q*(q\/(q*q**9))\/q)\/q)))\/q) assuming q is positive.\nAnswer: q**(83\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102923188?\nAnswer: 2, 25730797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47038*z**2 + 43276*z?\nAnswer: -94076","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1998066549.\nAnswer: 3, 17189, 38747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y - 3. Let c(n) be the first derivative of -n**3\/3 + 92. Give c(r(p)).\nAnswer: -16*p**2 + 24*p - 9","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1522645 is divided by 70?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 279 and 744?\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -193929758 divided by 737.\nAnswer: -263134","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*k - 41*k + 36 = 0. Calculate the remainder when 57 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rkrk when four letters picked without replacement from wrkkwr.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -2*x**3\/3 + 2*x**2 - 3*x + 5. Calculate n(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 76589 divided by 551?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5 (base 11) to base 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tjjttjjtjtjjd. What is prob of picking 2 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(76)*4)**2.\nAnswer: 4864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -28.607 to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3090*b**3 - 88187*b**2 + 844089107*b?\nAnswer: 18540*b - 176374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*k**2 + 2*k**4 - k**2 + 10*k**4 - 4*k**4 + 4*k - 4*k**3.\nAnswer: 4*k*(k - 1)*(k + 1)*(2*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 11:07 AM?\nAnswer: 470","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 28 = 4*f, -2 = -0*n + n - 2*f. Find the third derivative of -4*g**5 - 5*g**2 - n*g**2 + 10*g**2 + 0*g**5 wrt g.\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5001938 and 14?\nAnswer: 35013566","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -2340000 rounded to the nearest 1000000?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-18)\/(-216) + 2780\/48.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -702 - 490 = -149*k. Suppose z - 6*z - 3*n = -41, -4*n = 5*z - 43. Which is smaller: k or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -121.575 from 658344328.\nAnswer: 658344449.575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (56 + 53 + 74)*(-2*i**3 + 2*i - 2*i).\nAnswer: -366*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/2*(-1)\/(-4). Let q(l) = 27*l + 2. Determine q(d).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 + 2855 = 128*v - 284*v + 216*v for v.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**3 + 9*b**2 + 40*b + 502. What is x(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1.2 times -0.19\nAnswer: 0.228","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find y such that 140*y**4 + 296*y**3 - 2768*y**2 + 3040*y + 384 = 0.\nAnswer: -6, -4\/35, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 240 minutes after 12:57 AM?\nAnswer: 4:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 28 + -32. Let h be 2 + (6\/u - 0). Which is the closest to h? (a) 1\/3 (b) 11 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 2) + (-37 - -35).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 5*a - 1. Let u = 1258 - 1262. Calculate c(u).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44783496533 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 + (11 - 11))\/((-1)\/(-1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*j**2 - 41*j**2 - 4*j - 2*j + 4*j.\nAnswer: -37*j**2 - 2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 27*v**5 - 243*v**2 wrt v.\nAnswer: 1620*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1070009 to the power of 1\/2, to the nearest integer?\nAnswer: 1034","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126532 + -69799. Let w = j - 20660. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/25 < 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**3 - t**2 - t. Let w(j) = 4*j**3 - 5*j - 1. Let r(s) = -w(s) + 3*z(s). Let d be r(-4). Which is greater: d or 7?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 take away 8.704972?\nAnswer: -8.404972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2*l = n - 28, 0 = -4*n - 8. Let q(p) = -p**3 - 3*p**2 + 5*p - 10. Let k be q(l). Let b = 37 - 20. Calculate the greatest common factor of b and k.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/12*(-8)\/6. Suppose 50*n = 51*n - 4. Suppose j + 2*j + 6 = -3*d, 0 = -4*j - 2*d - n. Which is the nearest to h? (a) 5 (b) j (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/6)\/((-5)\/((-10)\/(-2)))\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/760476 and 25\/25948.\nAnswer: 9886188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2\/11 (b) -0.9 (c) 1 (d) 86 (e) 2 (f) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s**2 - 109*s + 226. Determine o(53).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -3983, -4075, -4155, -4217, -4255?\n\"Answer: c**3 - 99*c - 3885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -92*o**2 + 4*o. Let i(l) = -93*l**2 + 3*l. Give 4*i(r) - 3*n(r).\nAnswer: -96*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ijo. Give prob of picking 1 j and 1 o.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.71033 + 8.\nAnswer: 6.28967","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -5514306 (base 7) in base 13?\nAnswer: -1a8a2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 7*p + 34. Calculate the remainder when f(39) is divided by 62.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*s + 4*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2568119 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. Let j be ((-4)\/10)\/(-8*(-6)\/(-12)). Which is the third biggest value? (a) 1 (b) d (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 469582, 469585, 469588, 469591?\n\"Answer: 3*b + 469579","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*l - l + 14829*l**3 + 3*l**5 - 2*l**6 - 3 - 14997*l**3 - 371*l**2 wrt l?\nAnswer: -240*l**3 + 180*l**2 - 1008","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n - 7. Let p(v) = v - 11. What is -8*j(d) + 5*p(d)?\nAnswer: -3*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b*b**21*b))\/b**(2\/53)*(b*b**(-7\/6))**(-12\/11) assuming b is positive.\nAnswer: b**(-12742\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1 - (-2 - 69))\/(21 - 22). Let n be b\/(-30)*(-1)\/((-4)\/30). What is the greatest common factor of n and 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (42\/18)\/7*0\/(-1). Let y be 8 - 1 - (1\/1 - g). Solve -11 + y = -f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 plus -535891969?\nAnswer: -535891976","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0806 plus 266934.47?\nAnswer: 266934.5506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 81687519 divided by -3\nAnswer: -27229173","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, -866, -1, 100, 5 in descending order.\nAnswer: 100, 5, -1, -7, -866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:39 PM and 9:17 PM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*p**2 - 70*p**3 - 135*p**3 - 16*p**2 - 19*p**2.\nAnswer: -205*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 5. Let z be 272\/85 - 1\/v. Suppose -q = z*q. Solve q*o - 21 = -3*y + 3*o, 3*y - 4*o - 23 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-195130)\/(-38) - (9 - 4). Calculate the greatest common divisor of 30 and i.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + -2 + 5 + 484. Let f = -309 + j. Calculate the common denominator of (-884)\/f + (-2)\/(-8) and 63\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -14254, -28499, -42746, -56995, -71246, -85499, -99754?\nAnswer: -114011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*h**3*v**3*x + 10334*h**3*v**2 + 30*h**3 + 2*h**2*v**3 - 72*h**2*v**2*x + 141*h*v**3*x - 3*h*v**2*x - 3*h*v wrt h.\nAnswer: -30*v**3*x + 62004*v**2 + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = -4*i + 24. Let g = -422 - -428. What is the smallest common multiple of i and g\/(-10) + (64\/40 - -11)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 88.8 + -89. Let a = 7\/208 + -3\/16. Which is bigger: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 40 = -4*r, -26*r + 22*r + 4 = 0. Calculate the common denominator of (-278)\/(-40)*(-5)\/q and 43\/48.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -166.738117 to one decimal place.\nAnswer: -166.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n = 5*p, -4*p - 2*n + 0*n + 6 = 0 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 36*p**2 - 24*p. Let u(z) = 9*z**2 - 6*z. Let v(b) = 4*d(b) - 15*u(b). What is the second derivative of v(j) wrt j?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 17146, 18129, 19112, 20095, 21078, 22061?\n\"Answer: 983*x + 16163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 773, 1553, 2337, 3125, 3917, 4713?\n\"Answer: 2*t**2 + 774*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -5*k**2 + 4*k. Let u be r(3). Let g = u + 42. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 64630*a - 517043. What is j(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*m**3 + 1\/3*m - 70*m**2 + 70.\nAnswer: -(m - 1)*(m + 1)*(m + 210)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 426688 or 426696?\nAnswer: 426688","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 113530000 to the nearest 1000000.\nAnswer: 114000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.5, 4, 1, 17.931, 1121?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 13771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4.95 + 5. Let g = -1.05 + u. Let i = -14 - -10. Which is the nearest to g? (a) -2 (b) i (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94*p - 59549 + 11816 = 73*p. What is the lowest common multiple of 11 and p?\nAnswer: 25003","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -8. Let q(n) = -10*n - 42. Let d be q(-5). Suppose -d = -2*m - 2. What is the smallest common multiple of f and m?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 76112.\nAnswer: -1\/9514","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 371762 is divided by 1916?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 + 5*f**2 - 2*f + 31. What is the remainder when a(-5) is divided by 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8806, -10047, -11298, -12565, -13854, -15171?\nAnswer: -16522","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 89, 55, 21, -13, -47?\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 minutes before 4:15 AM?\nAnswer: 3:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/1680 + g**7\/315 - g**6\/180 - g**5\/15 + 5*g**4\/12 - 8*g**2. Let w(c) be the second derivative of t(c). Factor w(m).\nAnswer: 4*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 10390240\nAnswer: -1\/1298780","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-21)\/(-39))\/7*-2\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that -b**2\/6 - 16*b\/3 - 128\/3 = 0.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -56 + -2 + -733 + 709.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*g**2 + g**2 + g**2)*(-2 + 5 + 6)*(g + 2*g - 5*g).\nAnswer: -108*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes after 11:40 AM?\nAnswer: 4:00 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1192, 1124, 1006, 838, 620, 352, 34?\nAnswer: -334","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4698.3 + -0.13.\nAnswer: -4698.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -2*f**2 - 8*f + 4. Let m be o(-5). Let t be m + 10 + -1 + 7. Find the common denominator of 119\/18 and (t\/(-50))\/(4\/(-38)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 107355 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a factor of 3065394?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2164*w**2 + 179*w. Let d(p) = 2168*p**2 + 179*p. Let n(a) = 6*d(a) - 4*z(a). Find the second derivative of n(f) wrt f.\nAnswer: 8704","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 156 and 8448.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 50*s**2 - 34*s**2 + 5*s - 20*s**2 + 1 + 4. Let g(t) = 2*t**2 - 2*t - 3. Give -5*g(j) - 2*q(j).\nAnswer: -2*j**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249925650.\nAnswer: 2, 5, 24998513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 11707424?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12\/17 + 118\/119. Which is the closest to g? (a) 2 (b) -2\/13 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -302*u + 75. Is c(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -566, -579, -596, -617, -642, -671?\nAnswer: -704","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uuq when three letters picked without replacement from {q: 10, m: 2, u: 4}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the third derivative of -9*j**2 - 1\/120*j**6 - 1\/15*j**5 + 0*j - 1\/12*j**4 + 0 - 1\/3*j**3. What is i(-3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 n when three letters picked without replacement from {q: 1, g: 1, p: 1, n: 1, y: 2, w: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58*z + 13237 = -173*z + 11397 for z.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 0 + 12*f - 1 - 8. Let r(d) = -d + 1. Let y(s) = -n(s) - 9*r(s). Let v(a) be the second derivative of -a**4\/6 - 3*a. What is y(v(z))?\nAnswer: 6*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 2903960629 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2672.64473 rounded to the nearest ten?\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 92 + 167*r - 494 + 65*r + r**2 - 101*r.\nAnswer: (r - 3)*(r + 134)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.05 - -0.02. Let v = t - 0.27. Which is the smallest value? (a) 1 (b) 0 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:29 AM and 5:12 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6, -5*d + 0*c + 127 = -c. Suppose -n + 4*g = -0*n + 8, 5*n - d = -2*g. Suppose -n*k = k. Solve k = -4*s - 1 - 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 64016?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 - 504\/(-24) - (1 - 11)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/5)\/(-18*18\/(-3780))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -457398, -914695, -1371896, -1829007, -2286034, -2742983, -3199860?\n\"Answer: -i**3 + 54*i**2 - 457452*i + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = 4*h + 12, -h + 4*f = -19 + 1. Is 22 a factor of (-6 + 838)\/h - -2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c\/(c*c**(-1\/4)))\/c*c)**(-7)*c\/c**(-11)*c**8*c assuming c is positive.\nAnswer: c**(49\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = -o + 10076, -2*o = -v + 3104 + 6975. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33124412 (base 5) in base 8?\nAnswer: 1057030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 0*t - 27 = 3*u, -3*u + 3*t - 42 = 0. Let a = 15 + u. Solve -10 = 2*h, a*k + 2*h - 15 + 5 = 0 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x**3 + 0*x**3 + 2*x**3)*(4*x + x + 2*x) - 3*x**4 + 2*x**4 + 4*x**4.\nAnswer: 38*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16014 and 13872?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/205339?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(15\/2)\/x**(-41))\/((x*(x\/(x*x\/(x\/(((x\/x**(-10))\/x)\/x)))*x)\/x)\/(x*x*x**28*x)) assuming x is positive.\nAnswer: x**(175\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 4 - 11 = 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide -5 - (-12718)\/8 - 12\/16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 1140077792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1377*h - 1101*h - 286*h to d*h + m and give d.\nAnswer: -2764","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 16727?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 8, f: 5}. Give prob of picking 2 m and 1 f.\nAnswer: 70\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gsutd. Give prob of sequence sug.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 2*y**3 + 649*y**2 + 1467*y - 46052. Calculate s(-322).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -225*a + 229*a + 0*a**2 - 7*a**2 as r*a + h*a**2 + o and give r.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4350525?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.1 + 0.3. Let g = -2.97 + -0.03. Let r = -2.9 - g. What is the nearest to -0.1 in 4, r, w?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -22 - -34. Calculate the remainder when 1\/3 - 104\/(-3) is divided by j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (-8 - 15 - -30)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.203577 and 0.2346.\nAnswer: -0.0477591642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1266 + 2750 = 2*d. Suppose 3*u = u + d. Suppose m - v - 251 = 0, 7*m = 3*m + 3*v + u. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*214.\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1 and 85.\nAnswer: 85.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18915946?\nAnswer: 2, 7, 29, 46591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3222+951332\nAnswer: 948110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 93*(-1)\/(-6)*2. Let z(i) = i**2 - 9*i - 5. Let k be z(7). Let p = k + w. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5965 is divided by 5958?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nyxxnnyxnxyxn. What is prob of picking 3 n and 1 x?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 + -8724473753413?\nAnswer: -8724473753412.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 divided by 9053?\nAnswer: -6\/9053","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -5*q**2 - 222*q - 13. Let u(r) = 27*r**2. Give v(u(n)).\nAnswer: -3645*n**4 - 5994*n**2 - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the third derivative of -p**6\/40 - 5*p**4\/24 - p**3\/6 - 4*p**2. Let o = -1158 - -1154. Let y(v) = -8*v**3 - 14*v - 3. Calculate o*y(b) + 11*i(b).\nAnswer: -b**3 + b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 10772 or 53862\/5?\nAnswer: 10772","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000880006 rounded to 4 dps?\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1249600884 to the nearest integer?\nAnswer: 1077","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2961\/2 - -1485. What is the common denominator of p and -29\/507?\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/((-130)\/1560)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7 and 252?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -14 (c) -0.04\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 + -239540.6.\nAnswer: -239540.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 0*y = -x + 18, -4*y - 3*x = -74. Calculate the lowest common multiple of y and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 34937 and 50503712?\nAnswer: 1519","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6\/(-8)*(4 - 8). Solve 13 = i*d + 1 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 181, 193, 205, 217?\nAnswer: 229","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227329740?\nAnswer: 2, 3, 5, 11, 12757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 - -16. Suppose -2*r + n = -0*r. Suppose -i - 199 = -5*i - r*h, -2*i + 117 = 5*h. Calculate the greatest common factor of 23 and i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1148)\/56 + 3\/(-6) + 3 + -1.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000034165375 to seven dps.\nAnswer: -0.0000342","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes after 3:03 PM?\nAnswer: 8:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 equal to -386823?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: 13*4106042\nAnswer: 53378546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.8 at least as big as 39?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (45\/21)\/(26\/(-182))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*n**3 + 43288815*n**2 + 43288829*n**2 - 129866462*n**2 + 43288818*n**2.\nAnswer: 5*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1\/4848 + -3235\/14544. What is the nearest to 4 in i, -1\/3, -43?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7825351 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 0. Let f be 4\/22 + c\/(30\/31382). Let o = f + -5230. Calculate the common denominator of o and 5\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve y + 2*q - 8 = -3, 10 = -4*y - 2*q for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 185 is divided by 44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 - 3 + 1)*(v + 0*v + 0*v) - 1 - v + 1)*(1 - 2 + 4).\nAnswer: -9*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-13 - -16) + -1 + 2522\/(-6). Let o = -434 - t. Find the common denominator of o and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -129 = -5*m - 2*i + 286, m - 105 = 4*i. What is the highest common factor of m and 2295?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 561364403?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = 2*o - b, 39 - 36 = -o + 2*b for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1\/3, -4\/7, 0.1, -6\/7, 1\/4, 49\/34?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 110540214 (base 7) to base 9.\nAnswer: 13514086","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 941e (base 16) to base 12.\nAnswer: 19b3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6.8 at least 0.0897?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/(8*(-3)\/2232*9)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -450, -3, 60, 0.5 in increasing order.\nAnswer: -450, -3, 0.5, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.55512884 rounded to 2 dps?\nAnswer: -3.56","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 123870111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 36691342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 10 = 0, 6*o + 20 = 4*o + 2*r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + -0.1. Let t = 3.7432 + 0.2568. Which is the nearest to f? (a) 0.3 (b) t (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6623610550?\nAnswer: 2, 5, 17, 563, 13841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 13.06. Let r = -0.16 - d. Let v be 12\/(-18)*6\/46. Which is the closest to r? (a) v (b) -3 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -106062 by 4.\nAnswer: -53031\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 275*d + 2. Let v(k) = k**2 + 272*k - 2. What is 6*h(a) + 7*v(a)?\nAnswer: a**2 + 254*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/8)\/(1\/8). Let f = n + 10. Suppose f*c + 600 = 9*c. Calculate the greatest common divisor of 15 and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101 + -110?\nAnswer: -100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in years?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 122 (base 9) in base 11?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 460.8663 rounded to the nearest integer?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2.241111 - 1260389.758889. Let c = 1260391.9099999 + r. Let s = c - -0.09. Round s to 7 decimal places.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 138029535 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rdrx when four letters picked without replacement from xvrrrrrrrxxqxxdrxxx?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1 - 0. What is the closest to j in -0.8, 0.5, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-18)\/144)\/(1\/(-8)). Suppose -4*q + b = -7, 3*q - 1 - 1 = 4*b. Let w be 0 + z\/6*q. What is the biggest value in w, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -104025\/2 - -50184. Let d = h + 1787. Calculate the common denominator of d and (-368)\/6*(-1)\/12.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-48 - 542 - 12)*(-2 + 1 + 3)*(4*y**2 + 4*y - 4*y).\nAnswer: -4816*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*i**2 - 149*i - i**2 + i**2 + 155*i.\nAnswer: -2*i**2 + 6*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -369 - -367. List the prime factors of (1\/z)\/(21\/(-14994)).\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24250, -48195, -71838, -95179?\nAnswer: -118218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3215?\nAnswer: 5, 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1581650 to the nearest integer?\nAnswer: 1258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/20212 and -13\/16.\nAnswer: 80848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1339957552?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 281733.\nAnswer: 112693.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = l**2. Let j(g) = -2*g - 1. Let s(k) = 27*k - 15. Let u(f) = 15*j(f) - s(f). Give u(z(p)).\nAnswer: -57*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 32*z**2 + 17. Let s(j) = -34*j**2. What is k(s(v))?\nAnswer: 36992*v**4 + 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 2*b - 2*b - 4*b. Let g(q) be the second derivative of -q**4\/6 - 33*q. Determine v(g(f)).\nAnswer: 8*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1075 and 3515.\nAnswer: 755725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - (1 - 21)) + -3.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -84 - -83. Let d = -82 - -77. Sort z, -13, d, -3 in descending order.\nAnswer: z, -3, d, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 652 and 160718?\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-35)\/(-15) + (-2)\/(-3). Suppose 5*x + 47 = -m. Let y be 6\/40 + 4\/x. Which is the biggest value? (a) -5\/2 (b) 1\/6 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19896?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the second derivative of i**8\/6720 - i**7\/840 + i**6\/360 + i**4\/12 + 2*i. Let j(f) be the third derivative of l(f). What is the units digit of j(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -14. Let q(a) = a**2 + 2*a + 8. Let c be q(g). What is the highest common factor of c and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 - 52*q**3 + 1392*q**2 - 7632*q + 12096.\nAnswer: -4*(q - 6)**2*(q - 3)*(q + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 + 3 - 7) + (0 - -2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -6*y**2 + 5*y - 3. Let j(i) = 5*i**2 - 4*i + 3. Suppose 3*r - 55 = -46. Give r*h(s) + 4*j(s).\nAnswer: 2*s**2 - s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 + 12*m**2 - 5*m. Let u(w) = 3*w**3 - 18*w**2 + 8*w. Give -5*u(l) - 8*v(l).\nAnswer: l**3 - 6*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/7296*24*-4.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 4160 divide 478888815?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 + 31*h**4 + h - 3*h**2 - 5 + 1 - 48*h**4 + 2*h**2 - 3*h to k*h**3 + v*h + x + s*h**4 + l*h**2 and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26163521 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 3*m = -48. Let y(r) = 2*r - 13. Let s(f) = -2*f + 12. Let w(b) = 6*s(b) + 5*y(b). What is w(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:32 AM and 7:13 PM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 7)*(4*c - 2*c + 14*c)*(-46*c + 1320 - 1320 + (1 + 2*c - 1)*(-2 + 6 - 2) + c - c + 2*c + 3*c - 4*c + 0*c).\nAnswer: -1968*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5317 + 5309.159. Round c to 1 decimal place.\nAnswer: -7.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 79*k + 669. What is j(12)?\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -14*f + 42. Let r be a(3). Let u = 8 - 5. Factor 0 + r*i - 2\/5*i**2 - 1\/5*i**u.\nAnswer: -i**2*(i + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 72 + -67 + 24 + -176 + -1\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37 + 36.73. Round f to one decimal place.\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:14 AM and 3:56 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes before 2:29 AM?\nAnswer: 10:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 3*r**2 - 156*r + 61. Let l be a(51). Which is bigger: -90 or l?\nAnswer: -90","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -23 + 34. Suppose f = -2*i + 5*i - 4*t, 8 = 2*i - 3*t. Let g(w) = -2*w**2 - 11*w + 26. Let r be g(-7). What is the smallest value in 3\/2, r, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6471?\nAnswer: 3, 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2. Let r(m) = -31461762*m**2. What is w(r(v))?\nAnswer: 989842468144644*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952 + 10220 = -266*t for t.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87*m + 41*m + 49*m.\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 12:24 PM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j**(-16)*j**(1\/10)*j*(j\/(j*j**15)*j*j*j)\/j)**(-20) assuming j is positive.\nAnswer: j**(-22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(180)\/sqrt(4) + 2 - (sqrt(180)*1)**2.\nAnswer: -178 + 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 0*r - 5. Let c = -5057 + 5055. Sort c, -0.3, r, -1\/3.\nAnswer: c, -1\/3, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 - 7*l**2 - 12*l - 5. Calculate p(-6).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3)\/(-2)*(-16)\/(-12). Suppose 0 = -z - 4*z + 15, 0 = m*b - z - 117. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, -5349, -6\/5 in ascending order.\nAnswer: -5349, -6\/5, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/14*(64 + (-8299)\/129)?\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 165517708*u**4 + 62882674?\nAnswer: 662070832*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Total of 20835213.37 and 7.061.\nAnswer: 20835220.431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1079 and 664?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 374 - 4 = 5*o. Is o a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i. Let p be w(-2). Solve 26 = -p*q - a + 3*a, 2*a - 6 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 61928261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -27417 - -38540. Suppose -5*i + 10122 = 4*h - m, 0 = -4*i - h + 16996. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(1\/4)*n)\/n*n**1*n)\/((n**(-2\/5)*n)\/n)**(2\/67)*(n**(-2\/7)*n*n\/(n**(-1\/2)*n*n))**(-17) assuming n is positive.\nAnswer: n**(-12953\/9380)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/59, 0.3, -0.083, -4, 0.09, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -19*w + 270. Suppose -24*v - 429 = -765. Give l(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 448 is divided by 160.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -1\/2119, -0.5, 0, -0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -1 - 1 - x**2 + 3*x + 0*x. Let v be s(2). Let p = 2 + v. Calculate the remainder when 2 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 7*l + 13. What is p(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6)\/(-4)*40\/60*(30 + 1). Calculate the highest common factor of 3937 and u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4080.\nAnswer: 2, 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 1 - 9, -5*h + 4*m = 2. Put 0, h, -4, 1 in descending order.\nAnswer: 1, 0, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**2 - 688*i + 23037. Determine p(32).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(13) + -2 + 5 - ((sqrt(468) + -2*sqrt(468))*4 - sqrt(468))**2)*1.\nAnswer: -11697 - 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 53\/5 of a millisecond?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 150 (b) -29.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2083 is divided by 450?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 - 55) + (14 - -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 6*v. Let a(x) = -5. Let y(b) = -b + 4. Let t(u) = -4*a(u) - 5*y(u). What is 4*g(n) - 5*t(n)?\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (56\/420)\/(16\/20). Let i(u) be the second derivative of 0 + 1\/2*u**2 - 1\/2*u**3 + 1\/42*u**7 + 1\/10*u**5 + f*u**4 + 2*u - 1\/10*u**6. Factor i(y).\nAnswer: (y - 1)**4*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d - 2*d + 0*d - 20*d + 1 - 1 + (3*d - 5*d + 3*d)*(-5 + 1 + 3).\nAnswer: -27*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - 14 - -2) + (-2838)\/(-114). Which is greater: x or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(77) + 1*sqrt(77)*1 + sqrt(77) + -5*(sqrt(77)*-2 + sqrt(77) + sqrt(77) - sqrt(77))))\/((-4*sqrt(275)*-1 - sqrt(275))*-6).\nAnswer: -4*sqrt(7)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 9 - 21 = 0. Solve m = b*y + 8, -3*m - 6 = -3*y - 21 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 - u + 6. Let l(d) = 2*d**2 - d + 18. Calculate 3*k(v) - 3*l(v).\nAnswer: -3*v**2 - 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19.98 + -0.02. Let t = 17.6 + k. Let d = t + 2.6. Which is the second smallest value? (a) d (b) 5 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k + 1. Let t be j(4). Let x = t - 18. Suppose x*i - 295 + 22 = 0. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-9)\/5*2\/6. Let d = -209 + 629\/3. Which is smaller: d or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-43)\/3 - (-3)\/9. Find the common denominator of 3\/168*10*-4 and (-6)\/21 - 613\/k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*n + 130 = 5*o - 2*n, -3*n + 102 = 4*o. Let m be (-42)\/9*252\/(-49). What is the greatest common factor of o and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of 3*s**4\/2 - 3918*s. Let w(i) = 272*i**2. What is w(a(d))?\nAnswer: 88128*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*o + 32*o - 165 = 715. What is the remainder when 10416 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -2.38 and 24511.\nAnswer: 24508.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -29161 - -44050. List the prime factors of q.\nAnswer: 3, 7, 709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z - 1 = -22 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*b**4 - 37 + 37 + b**4 - 3 + 3 + (2 - 3*b - 2)*(3*b**3 - b**3 + 0*b**3) to s*b**3 + o + k*b + x*b**2 + d*b**4 and give d.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 7615 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*p + 23*p + 70 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 169*s**2 + 161*s - 269. Let r be d(5). Calculate the greatest common divisor of r and 45.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 6*g. Let s(l) be the second derivative of -l**6\/180 + l**3\/2 + 3*l. Let i(h) be the second derivative of s(h). Give a(i(m)).\nAnswer: -12*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**3 - 7*d**2 + 13*d - 4. Let y be b(4). Factor y + 0*s + 1\/2*s**2.\nAnswer: s**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 62 or 1446\/23?\nAnswer: 62","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(84)\/(sqrt(12) + sqrt(12)*-5) + -5.\nAnswer: -5 - sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28497486?\nAnswer: 2, 3, 4749581","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3 - l**2 + l + 1. Let p be k(-2). Let d(y) = y**3 - 10*y**2 + 22*y + 5. Suppose -21*s - 11 = -74. Let b be d(s). Solve p - b = x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = 2*y + 3 + 23, y + 3 = 4*j. Which is bigger: -21 or y?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 243238030 to the power of 1\/6, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 + -31110?\nAnswer: -31123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 5*m + 2*t = -10, 2*t + 11 = 5*m. Let f be -2 + m + (-3 - 0). Which is the third smallest value? (a) -2\/5 (b) f (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1144 + 5?\nAnswer: -1138","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120314?\nAnswer: 2, 43, 1399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.82111 to 0 dps.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkkkkkkkkk. Give prob of sequence kkkk.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24749684 and 11168.\nAnswer: 1396","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 6*y. Let d(s) = s + 5. What is the units digit of d(y)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*c + m + 5 + 10, c - 3 = m for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1050191 (base 11) to base 4.\nAnswer: 13002123323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 78?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 529*o + 18930. What is r(-36)?\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = -3*t**3 - 5*t - 5. Let z(n) = 4*n**3 + 6*n + 6. Determine 6*v(l) + 5*z(l).\nAnswer: 2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3142 (base 12) in base 2?\nAnswer: 1010100000010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 5*g = -42, -5*f - 2*g + 56 - 12 = 0. Sort -3, -5, f, -11 in decreasing order.\nAnswer: f, -3, -5, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2181752?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the second derivative of -x**6\/720 - x**4\/12 + 2*x. Let y(u) be the third derivative of h(u). Let k(z) = -z. Give k(y(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1206 + -5365146?\nAnswer: -5363640","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 36 and 84?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 55 (base 16) to base 11\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-10 - -22) - 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and 2769136.\nAnswer: 11076544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2928202643 to the nearest integer?\nAnswer: 54113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 50143279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 225333531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -28 in -0.4, 1, 1\/7?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*y**3 + 209*y - 209*y - 15*y**3.\nAnswer: -15*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9039*s + 9045*s - 120 = 0. Solve x - s = -3*w - 2*w, -x - 10 = -5*w for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 28 - 30. Let s be (-6)\/15 + 15\/(-25). Let q be -1 - (15\/10)\/s. What is the nearest to -2\/7 in 2\/3, c, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 9429.\nAnswer: 18858","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {n: 6, f: 5, b: 3, y: 1}?\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - 16*l - 3. Let s be x(-15). Let u be (11\/33)\/((-5)\/s). Put -5, 0.2, u in decreasing order.\nAnswer: 0.2, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -62622 + 30104?\nAnswer: -32515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4651*u. Let l(s) = -7*s. Determine l(c(r)).\nAnswer: 32557*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 19517.91697 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1981, 3979, 6015, 8089, 10201?\nAnswer: 12351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10710 a multiple of 63?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -112 + 564\/5. Let v be ((-28)\/35)\/((-10)\/5 + 3). Which is the biggest value? (a) v (b) r (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -189\/10 + 19. Which is the nearest to -2? (a) p (b) -0.01 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q**2 + 2 - 2)*(-42 - 7 - 15) to the form o + j*q + y*q**2 and give y.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 236269369 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4*a = 0, -45 = -z - 2*z + 3*a. What is the tens digit of ((-2)\/z)\/(7\/(-10115))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2 - 16*t + 144. Give j(8).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.268 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = 4420*h. Let q(o) = 51*o**2 - 202. Calculate q(f(j)).\nAnswer: 996356400*j**2 - 202","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44541 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3*z - 58 = -60, 0 = 4*b - 5*z - 48. What is the remainder when 1*-2 - -1 - -21 is divided by b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3427 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: Is 1370028227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*r - 14*r + 37*r + 18 = -8*w + 9*w, 6*r = w - 21 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of 2*t**7\/105 - 13*t**6\/5 + 1969*t**5\/15 - 2912*t**4 + 100352*t**3\/3 + 800*t**2 - t. Find c such that x(c) = 0.\nAnswer: 7, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*t**3 - 2 + 2 + (-4*t + t + 5*t)*(-458 + 458 + 32*t**2).\nAnswer: 68*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -548 and -0.08?\nAnswer: 43.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169 = 331*a - 5465 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 3 - 2)*(4*m - 5*m - 11*m) + (-4 - 5 - 1)*(2*m - 5 + 5) in the form v + y*m and give y.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = -w - 20. Suppose -g = -5*f - 17, 3*f + 104 = w*g + 7*f. Calculate the smallest common multiple of g and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1192?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 26\/(-2)*(63\/(-252) - 10\/(-8)). Put d, -4, 179 in decreasing order.\nAnswer: 179, -4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8380?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74*n = 65*n - 7923. Calculate the greatest common divisor of n and 1387.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -166821*d**4*m**3 - 28*d**4 + 2*d**2*m**3 + 2*d**2*m - 292997*m**3 wrt d?\nAnswer: -4003704*d*m**3 - 672*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*h**2 - 8 - 2 + 10 to the form p*h + a + t*h**2 and give t.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13344 is divided by 188?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 419788.\nAnswer: 2, 104947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -922 + 133*x + 192 + 187 + 359 + 184.\nAnswer: 133*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 46553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 421*l + 941 - 104 + 3794 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - 0)\/((1 + 3)\/(-2)). Suppose s = -3*c + 4 + 2. Let f be (-63)\/(-14) - (-1)\/2. Solve f*w - c = 3*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -800 + 783 + 5 + -1?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -22*p - 67. Let k be w(-9). Suppose -k = r - 168. Let a = -10 + r. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 + 3. Let j be i\/(-10) - (-204)\/20. What is the remainder when 27 is divided by (-2)\/(-1) + 2 + j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the third derivative of -x**3 - 5\/12*x**4 + 0*x - 6*x**2 + 0. Let y(h) = 3*h + 2. Give 2*a(z) + 7*y(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4160d + 2bb?\nAnswer: -41352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -h**2. Let v(o) be the second derivative of 0*o**2 + 0 - 4*o + 3\/2*o**3. Determine v(x(y)).\nAnswer: -9*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 661*n**4 - n**2 + 573*n wrt n.\nAnswer: 15864*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 43, 39, 33, 25?\n\"Answer: -h**2 - h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 7) to base 8\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 158176? (a) -2\/5 (b) 1 (c) 3 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-45)\/22)\/(-3) - 29\/58?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -7*q**2 - 4*q + 3. Calculate g(2).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 4*v**5\/5 - 18*v**4 - 228*v**3\/5 + 2152*v**2\/5 - 3312*v\/5 + 1152\/5 = 0.\nAnswer: -6, 1\/2, 2, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the third derivative of -c**5\/60 + c**4\/6 - 449*c**2 + 1. Let i(a) be the third derivative of 3*a**5\/20 - 11*a**4\/8 + a**2. Give -4*i(j) - 33*w(j).\nAnswer: -3*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5 - 2)*1\/6. Let v = -44.81 - -7.91. Let x = v + 37. Which is the nearest to x? (a) 5 (b) -0.5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 o, and 1 a when three letters picked without replacement from aaaollallccamaaa?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5368 and 13223092.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 8 + 4 + -1 - 4 - (-34 + 27)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -92.909 - 0.091. Let u = g + 138. Let a = -46 + u. Is a less than or equal to -2\/33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -25, -34, -43, -52, -61?\n\"Answer: -9*u - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -32 - -40. Suppose 4*y - 4*r - h = 0, y - 3*r = 4 - 6. Let g(k) be the first derivative of k**2 - 5*k - 87. Give g(y).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/3 of a day in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((18\/(-400))\/(84\/(-4592)))\/(-12) and 11\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 1 + 0*j**3 + 4 + j**3 - 6*j**2 - 7*j. Let g be ((-5)\/10)\/((-1)\/14). Let q be n(g). Solve -4*c + 2*i + 10 = 0, -q*i - 19 + 4 = -5*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -5*a + 42. Let c be l(-8). Suppose 5*h + 0*g - 155 = 3*g, -3*h = -4*g - c. Are 35 and h non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1015\/(-196) - 15\/12 - -7\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(110) + 3*sqrt(110)*2 + -5*(-1*sqrt(110) + sqrt(110))))\/(sqrt(50)\/(2*sqrt(5)) - (-3*sqrt(50))\/sqrt(5)).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 450 (base 13) in base 12?\nAnswer: 519","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/((l**(2\/15)\/l)\/l)*l**(10\/3))\/(l**(-3\/5))**(-5) assuming l is positive.\nAnswer: l**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -247*x + 245*x = 2, -4*a = -4*x for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 40557714 to the power of 1\/2, to the nearest integer?\nAnswer: 6368","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*u**3 - 16589*u**2 + 8112*u + 2?\nAnswer: 12*u - 33178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 28011268, 28011275, 28011282, 28011289, 28011296, 28011303?\n\"Answer: 7*w + 28011261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 10\/12 - ((-2)\/(-6) - 0)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15\/(-21) + 1)\/(8\/56). Suppose 1\/2*h - 1 + 1\/2*h**c = 0. What is h?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 27*y**2 + 0.\nAnswer: 27*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 148 = 3*o - 216, -359 = -3*o - 4*n. Suppose -7746*r = -7740*r - 138. What is the remainder when o is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*u + 2*u - 48. Let k = 8 + u. What is the third derivative of -6*w**2 - 17*w**3 + 19*w**3 - 15*w**3 - 12*w**k wrt w?\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.09666980509576 from 0.3.\nAnswer: 0.20333019490424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2546 + 0*i - 2566)*(48 + 6*i - 48).\nAnswer: -12*i**2 - 120*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -21\/9736 and -67\/16980801.\nAnswer: 135846408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 5610*b = 5615*b - 33, -5*l - 15 = -5*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -64663680 divided by 5388640.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 3 + (1 - 2 + 3)*(-1 + 0 + 3))*(-2563*y - 1267*y - 2719*y - 18 + 18).\nAnswer: -13098*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**3 - 20*g**2 + 18*g + 5. Suppose -2*u - 5*r = -13, 2*u - u - 6 = -3*r. Let z be f(u). Solve 6 = -3*d - z*x, -x = -4*d - d - 10 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7294 + -4956. What is the remainder when z is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 0 + -39 + (5 - (1 - 5))?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -52*t**2 - 106*t - 516. Give u(-4).\nAnswer: -924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 2. Let b be l(-4). Let k(c) = 14*c + 2. Let m be k(b). Suppose -5*w - m = -365. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -23*y**2 - 28*y. Let x(u) = -52*u**2 - 58*u + 1. Let i(a) = -7*w(a) + 3*x(a). Give i(-6).\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -8823988.9 to the nearest one hundred thousand.\nAnswer: -8800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 6, t: 5, i: 3, c: 1}. Give prob of sequence iita.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**2 - 84*p + 211. Calculate i(80).\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-5)\/25 - (-962)\/(-12040). Let n = 1\/172 - y. Which is greater: 0.1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -m**3 - 8*m**2 + 9*m. Let v be d(-9). Solve v*l + 36 = 5*s - 4*l, 2*l = -8 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322*f**2*p - f*p - p - 99 wrt f.\nAnswer: 644*f*p - p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 2150455304?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1 - 1 - 2) + -2 + 317 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.8*-3.69.\nAnswer: -47.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -68 + (18 - 2024\/(-46))\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4150 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: What is the hundreds digit of 2619?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7639, -7711, -7785, -7861?\n\"Answer: -v**2 - 69*v - 7569","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.05? (a) 0.16 (b) -7 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3704?\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 15*p + 5. Let d(o) = o**2 - 1. Let q(k) = 14*k**2 - 12. Let c(u) = -12*d(u) + q(u). Calculate c(j(f)).\nAnswer: 450*f**2 + 300*f + 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.39 and 4104 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**2 - 2*p - 2. Let n(o) = 3*o - 14. Suppose -5*d - 8*i + 20 = -3*i, 3*d - 12 = 3*i. Let b be n(d). Give l(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 0 + 2*p - 1)*(-7230*p - 1753*p**2 + 7230*p) to h + b*p**2 + i*p + s*p**3 and give b.\nAnswer: -3506","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*i = -212, x - 4*i = -0*i + 50. Let k be ((-3)\/(-2))\/((x\/(-60))\/(-9)). What is b in -18*b**2 + 4*b - b**3 - k*b - 16*b - 2*b**3 = 0?\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -32*n**4 + 575*n**3 - 1038*n**2 + 479*n + 16 = 0. What is n?\nAnswer: -1\/32, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2 + -37213 + (-2 - (3 + -4)). Is 2\/(7\/(t\/(-8))) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 4*p - p - 25 = 0, 3*s - 4*p = 15. Let c(w) be the third derivative of 0*w**s + 0 - 1\/84*w**4 + 1\/420*w**6 + 0*w**3 - 2*w**2 + 0*w. Factor c(x).\nAnswer: 2*x*(x - 1)*(x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 3 + 5*m + m + m - m - m + 5*m - 3*m + 2*m - m - 2*m + (-2*m - m + 4*m)*(-4 + 3 - 1) - 7*m + 3*m + 2*m)*(-2 - 2 + 2) + (2 - 8 - 6)*(m - 2*m + 2*m).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -315 + 85. Let p = g + 230.00000175. What is p rounded to 7 decimal places?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13*b*g**2*r**3 + b*g**2 - 2*b*g*r**3 - 2*b*g*r**2 + 100*b*g + g**2*r**2 wrt g.\nAnswer: 26*b*r**3 + 2*b + 2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3639179 - 163*p + 3639179.\nAnswer: -163*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 8*r**2 - 14*r - 10. Let x be o(-5). Suppose x = -2*b, l - 4*l - b = -136. Let k = -7 + 15. What is the remainder when l is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*j*m**2*w**3 - 37*j*m**2*w + 12*j*m*w**2 - 9*j*m*w + 9257*j*w**3 wrt w.\nAnswer: -18*j*m**2 + 55542*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 19*w**2 - 4*w + 4. Is g(-3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -3*n - 3. Let k be z(-3). Suppose -4*m = -k*m + 16. Let a(w) = w - 1. Let s be a(m). What is the highest common factor of s and 56?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2240 - 2240.3. What is the nearest to 2\/3 in d, -4, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -29, -5, 364469, 4, 4\/5, 0.3?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -17. Let d be 1*50 + i\/4. List the prime factors of (-4)\/(-18) + 5172\/d + 6.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u = 1 + 13. Let j(t) = -74*t**3 - 3*t**2 - t + 1. Let k be j(u). Suppose 2*b + 9 = k. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 2:18 AM?\nAnswer: 10:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (10566906\/(-87765))\/((-14)\/15)?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 195 a factor of 1170?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the second derivative of -r**5\/30 - r**4\/24 - 35*r**3\/6 - 32*r. Let p(g) be the second derivative of o(g). Calculate p(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/4)\/((-1)\/(-5)*2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (10 - 26)\/(-16)?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14146 + 174*a**2 + 17052 + 6552 - 1436 - 177*a**2.\nAnswer: -3*a**2 + 36314","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(425) - ((-3 + sqrt(425) + 4)**2 + sqrt(425)).\nAnswer: -426 - 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f + 5*b + 1 = 8*b, 5*f - 2*b = 16 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 64 + -62.8. What is the third biggest value in 0.2, -0.1, u?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 divided by -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 54 - 77. Let s = 27 + u. Let g be ((-42)\/(-24))\/((-1)\/(-4)). Solve -32 = j - 5*q - g, s*q - 20 = -3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0 (c) 2\/19 (d) -49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 122 = 2*c, -2*c = -2*o - 4*c + 56. Is o a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 549 + -465. Let q be y\/56*3\/((-9)\/(-60)). Calculate the highest common factor of 18 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2437 + -17.7563. Let r = 0.04 + -0.54. Which is the closest to t? (a) 5 (b) r (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -56 = -0*t + 2*t - 2*f, 2*t + 57 = f. Let z be -1 - (0 + t\/1). Suppose 0 = -0*o + 4*o - z. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*n + 23*n + 36 = 0. Calculate the least common multiple of 27 and n.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -33216 + s**2 - 12*s + 33211 + 6*s. Let x(h) = -h**3 - 3*h**2 - 4. Let c be x(-3). Does 28 divide p(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (390\/12)\/(1\/6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ejjjnnnnjnc. Give prob of picking 2 n.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 3*r + 1, 23 = -0*h - 2*h - 3*r. Let d(n) = -n**2 - 10*n + 10. Let i = -42 - -31. Let y be d(i). Sort -3, y, h in ascending order.\nAnswer: h, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) be the first derivative of -t**2 - 5*t - 8. Let x be j(-2). List the prime factors of 6 + (3\/1 - x).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f = 13 + 9. Let i(t) = 87*t**2 + 2. Is i(f) a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -66, -102, -138?\nAnswer: -174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-152)\/29070*-9*100\/(-8)\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + 1)\/((-2)\/(-6)). Suppose -r - 7*n + 27 = -2*n, 5*r - 2*n = 0. Put d, r, 5 in descending order.\nAnswer: 5, d, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 99*x - 283. Let i be f(3). Let y be 27\/(-5) + 5 + 2\/(-5). Let t = 6 + -3. Which is the nearest to y? (a) i (b) t (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 512031 to the nearest integer?\nAnswer: 716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -48 + 50.02. Let s = j - 0.02. Let u = s + -9. What is the smallest value in -2, u, 2\/7?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 96 divide 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (119\/21)\/((-3)\/(-54)) and 150?\nAnswer: 2550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 3*j + 3. Let w be v(-1). Which is the closest to -3? (a) -0.3 (b) -2 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 15. Suppose -p - 11 = -5*w, -a = -5*w + 2*w - 4*p. Suppose -5 = -w*r + 1. Solve 0 = r*m - 1 + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2062 divide 168971880?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -1024*d**2. Let j(b) = -15*b + 1. What is j(t(i))?\nAnswer: 15360*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptmiirmmmyyt. What is prob of sequence pt?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -459 in -1.8, -4, -3, 0.12?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - y + 86 = 0, 206471 = 3*h - 4*y + 206380 for h.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = u, -y - 4*u + 160 = 3*y. What is the greatest common divisor of 20 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1749 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) 1 (c) 2\/11 (d) 10\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zdhh when four letters picked without replacement from dzdhdzdzzh?\nAnswer: 2\/315","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18167644 and 352?\nAnswer: 145341152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -427*h**4 - 33*h**2 + 2 wrt h.\nAnswer: -10248*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-68208)\/8120)\/(7\/30).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) + -4 + -1 + sqrt(1216) + sqrt(1216))**2 - 4*(1*sqrt(1216))**2)*5.\nAnswer: -1200*sqrt(19) + 30525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6*1*(-3)\/6. Suppose 7*h - 3*h + 16 = 3*z, 4*z + s*h = -12. Sort 5, z, -2 in descending order.\nAnswer: 5, z, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 45\/52 and 57\/28?\nAnswer: 364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/(-6)*(-30)\/10.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 + 5. Let c = -3 - h. Let v = -0.2 - 3.8. Which is smaller: v or c?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -493900\/3 or -164634?\nAnswer: -164634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xs when two letters picked without replacement from bbxvsjs?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ssslslsss. What is prob of sequence sl?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of c**3\/3 - 5. Let i(u) = -12*u - 1 + 1. Calculate i(o(v)).\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 15 = -3*s. Factor 17 + 4*q**s + 60*q**2 - 8*q**3 - 72*q - 1 - 10*q**3.\nAnswer: -2*(q - 2)**2*(7*q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 36839\/4 - 9209. Let g(h) be the second derivative of -6*h + p*h**4 + 0 - 3\/2*h**2 + h**3. Suppose g(a) = 0. Calculate a.\nAnswer: -1, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 136 and 1156?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 divided by 53032?\nAnswer: -23\/53032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 23962 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 1, 4, 35 in ascending order.\nAnswer: -1, 1, 4, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18514 is divided by 387.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*2\/(-16)*-4. Solve d = -o*d + 12 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 31*w - 139 - 50 - 28 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7828407?\nAnswer: 3, 127, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 - 4*b + 2. Let a be x(4). Let g(f) = 4*f**2 - 5*f + 6. Let q be g(a). Solve 8 = 2*t - 2*z, 4*z + z + q = t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -71 - -71.000116. What is d rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.527 - -24.427. Let w = f + -24. Let a = 1.17 + 19.83. Which is bigger: a or w?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 361 is divided by 95.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a\/((a*a*((a*a*a**(-2\/11))\/a)\/a)\/a))**(-3\/7))**50)**(-35\/2))**35 assuming a is positive.\nAnswer: a**(26250\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that -27*f**5\/5 + 6102*f**4\/5 + 37332*f**3\/5 + 58312*f**2\/5 + 35232*f\/5 + 7424\/5 = 0.\nAnswer: -4, -2\/3, 232","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11478 is divided by 410?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 31130 (base 10) to base 8\nAnswer: 74632","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 5217, 1, 2, -1 in ascending order.\nAnswer: -2, -1, 1, 2, 5, 5217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6152 - -6331. What is the remainder when 1063 is divided by f?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -513, 1730, 5475, 10728, 17495, 25782, 35595, 46940?\nAnswer: 59823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -29 - 26 = -5*i. Suppose 63*t - 1518 = 57*t. Calculate the highest common factor of t and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*j - 235*j + 114*j + 3*h + 12 = 0, -4*j - 45 = 11*h for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:33 PM and 8:10 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 921658 is divided by 1311.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.09 - -3.09. Which is the third biggest value? (a) -2\/5 (b) d (c) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80750941?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**3 + 136*j**2 + 297*j - 3074. What is o(138)?\nAnswer: -176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*u = 3*w - 9*u - 10548, -4*w = 2*u - 14074. Is 160 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -814527.87 times 3?\nAnswer: -2443583.61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-1326)\/(-4 - -2)*(-110)\/(-165)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 546173 is divided by 225?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 45, 93, 159, 243, 345?\nAnswer: 465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 813 and 7859.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4.6 - 5. Suppose -5*g + 81 = 91. Which is the third smallest value? (a) -1.8 (b) v (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -300223 (base 5) in base 6?\nAnswer: -111410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 139 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - g - 224 = 0. Suppose 36*a - 8 = g*a. Solve 0 = a*w + 2*w - 20 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - m = -8*w + 503, -w = -4*m - 93. Suppose -21*c + w = -193. Is 2 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 - 114640*j - 15567525.\nAnswer: 5*(j - 23063)*(j + 135)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -22 + 18. Suppose -r = -5*h - 1, -4*r - 15 = 1. Let w(s) = -s + 1. Let z(p) = 5*p - 2. What is g*w(k) + h*z(k)?\nAnswer: -k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 3*v**2 - 485*v - 2322. Give y(166).\nAnswer: -164","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32 - -36. Solve 9*i = g*i - 10 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 445135?\nAnswer: 5, 127, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 396*k - 19602.\nAnswer: -2*(k - 99)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 10*g = 21. Put g, 1, 5 in decreasing order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 10 - 94)*(-2*c + 2*c - 2*c).\nAnswer: 150*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.05029*-119.3.\nAnswer: 5.999597","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = o**2 + 7*o + 3340. Let t be q(0). What is the tens digit of (4 + -1 + -2)\/(4\/t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 0. Suppose p*q = q + 56. Calculate the remainder when q is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-278)\/2919*(-7)\/2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)\/sqrt(5)*-3)\/(sqrt(9) + 1*sqrt(441)).\nAnswer: -3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -77, -90, -107, -128, -153?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 149673 = 4*m - m, -2*m = -u + 24933. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1 + -1 + 0 + 3. Let z = -4 - -3.9. Which is the closest to p? (a) 3 (b) z (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3*((-2)\/3 - 0). Let j(t) = 502*t**2 - 55*t + 5. Let c(p) = -502*p**2 + 64*p - 6. Let o(b) = 6*c(b) + 7*j(b). Is o(m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 72.43 - 9.73. What is h rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 246 divided by -246\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2303595920.\nAnswer: 2, 5, 28794949","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -17*f**2 + 15*f**2 + 15*f**2 - 25*f**4 wrt f?\nAnswer: -600*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*d + 35. Let w = d - 3. Calculate the remainder when 13 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/1687 and -43\/28?\nAnswer: 6748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 d and 1 f when four letters picked without replacement from {b: 3, d: 3, u: 4, f: 1}.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvtv when four letters picked without replacement from vttvvvv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.628222 to two decimal places.\nAnswer: 0.63","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-12))\/(25*(-240)\/(-12800)).\nAnswer: -8\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 11*f + 66. Let m be j(-6). Let t(h) be the second derivative of h + m*h**3 + 0 - 1\/4*h**4 + 11\/2*h**2. Find the first derivative of t(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = 3*t - 21074, 7*t + 42184 = 2*m + 4*t. Calculate the remainder when m is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -4*i**3 - 32*i**2 + 2*i. Give v(-8).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let -u**2\/5 - 106481*u\/5 - 21296 = 0. Calculate u.\nAnswer: -106480, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88)*-1*6)\/(sqrt(2) + (sqrt(2) - sqrt(2)*1 - sqrt(2))*3))\/(3*2*sqrt(484) - -3*sqrt(484)*-1).\nAnswer: sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 27*i**2 - 55*i**2 + 10*i**2 + 11*i**2. Let n(f) = f. Let y(j) = -13*j. Let g(x) = 5*n(x) + y(x). Determine b(g(h)).\nAnswer: -448*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25487 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -5651, -5652, -5653, -5654, -5655, -5656?\n\"Answer: -x - 5650","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 89249?\nAnswer: 31, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*a**2 + 31*a**2 - 8*a**3 - 67*a**2 + (-3 + 4 + 1)*(-4*a**3 + 3*a**3 + 7*a**3) as i*a**2 + w*a**3 + v + y*a and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 + 9*m**2 - 6*m - 6. Let k be t(8). Suppose 5*q + 1 = 3*u + 17, u = 4*q - k. Suppose -43 = -j + p + q*p, -4*j + p = -183. Does 23 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1367100 and 108.\nAnswer: 4101300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -72*d**2 + 1146*d - 1145. Give t(1).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -3 - 5 - -4\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c - 5*c - 16 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.21, -18.3, -0.5, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 25355 at most as big as 25355?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:51 AM and 10:35 AM?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 39*q**2 + q - 25. List the prime factors of o(3).\nAnswer: 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -12 - -21?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 9 = -5*q - 0*t, 0 = -5*q + 3*t + 13. Let o(g) = -23 + q*g + g + 16*g**2 + 27 - 17*g**2. Calculate o(9).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1122*j**4 - 188*j**2 + 150*j**4 + 528*j**4 wrt j?\nAnswer: -10656*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -5*l - 184. Suppose 0 = -4*d - 2 - 18. Calculate the least common multiple of 20 and 2\/(-5) + l\/d.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 8*q + 11. Let y be s(9). Suppose 3*r - 13 - y = 0. What are the prime factors of r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 4, s: 6}. What is prob of sequence ssus?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s + 29. What is w(-19)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -9 in -404, 2, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 215149842 to the nearest integer?\nAnswer: 599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-54)\/4)\/((-171)\/57).\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/11 (b) 0.1 (c) -0.064 (d) 1 (e) 82 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 0*n + 7 = -g, -4*g - 13 = 5*n. Suppose -g*p = -8*p + 55. Is p a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 378405 a multiple of 135?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3764, -4253, -4740, -5225, -5708?\n\"Answer: h**2 - 492*h - 3273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-13)\/156*-3?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -158477 (base 16) to base 15.\nAnswer: -1ccc62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/3 (b) -1\/63 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14025 - 13868. Solve 45 = 14*s + b for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z + 17. Let g be y(13). Suppose 0 = g*t - 6 - 14. Sort -3, 6, t in increasing order.\nAnswer: -3, t, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 792316590*n**2 - 1333238307*n wrt n.\nAnswer: 1584633180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 4298, -3, 294 in ascending order.\nAnswer: -3, 294, 4298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of 606595?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x*x*x**(7\/2)*x**(-1\/14))**(-10\/17)\/((x*x\/(x*x*x**(-9)))\/x*x*(x*x*x**1\/x*x)\/x*x*(x**(-2)*x)**(3\/7)) assuming x is positive.\nAnswer: x**(-261\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 + -2)\/2 + -2. Let s be 3\/(i\/48*-3). Calculate the greatest common factor of 16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = w**2 - 13*w + 27. Suppose -4*r - 16 = -60. Let h be m(r). Solve -h - 3 = -2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 1)*-2 - (sqrt(1008) + 1)*4)**2.\nAnswer: 864*sqrt(7) + 36324","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4918 + 3048 = -88*q + 21*q - 103*q for q.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 419 minutes after 6:29 AM?\nAnswer: 1:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 - -6. Let t = h - 5.9. What is the second smallest value in 2, t, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 5*p - 3*p = 70, 0 = -4*z - 3*p + 67. Let x be 8\/(-6)*(-27)\/18. Suppose -30 = -d - x*d. What is the remainder when z is divided by d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that -5*q**4\/6 + 109735*q**3\/6 - 601264655*q**2\/6 - 3014559025*q\/2 = 0.\nAnswer: -15, 0, 10981","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7013 - -7015. Solve -2*v + g*c + 3 = -9, -3*v = c - 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(490\/20 + -20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 929 is divided by 55?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000671554 to 5 dps.\nAnswer: 0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 195.9401 rounded to 1 dp?\nAnswer: 195.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (27 - (-5 - -1)). Let u = -30 - s. Factor -12*i**3 - 12*i**2 + 46*i - 50*i + u*i**4 - 6*i**4.\nAnswer: -4*i*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 92 + 56 = -17*w - 20*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {m: 2, n: 17}.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s + 4*s - 18. Suppose s*p = -3*p + 495. What is the greatest common divisor of 22 and p?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6\/4*(-3)\/9. Let f be (162\/39 - (-6)\/(-39))\/(-2). Which is the nearest to f? (a) -3 (b) 0.2 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-1\/6)*b\/(b\/(b\/(b\/(b\/(b*(b*(b**(1\/31)*b*b)\/b)\/b*b)*b))*b)) assuming b is positive.\nAnswer: b**(-37\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2049080 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, o: 15}. Give prob of picking 3 o and 1 g.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 256?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 812386412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -356, -997, -1928, -3149?\nAnswer: -4660","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**3 + 6*i**2 + 5*i + 7. Let m be k(-5). Suppose 4*s + m = -b - 7, -4*s = 3*b + 10. Suppose 4*c - 8 = 4. Solve -b*z + 1 = -c*z for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -18*j*y**3 - 37*j*y - 2523363*y**3 - 317675*y wrt y.\nAnswer: -108*j*y - 15140178*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6.285 - -48.155. Let w = -29.86 + o. Round w to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/675 and 86\/3081375.\nAnswer: 3081375","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 1 = l - 21, 2*l - 4*k = 24. Suppose -4*y = 32 - 12, -l*s + 54 = 2*y. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-2)*7 + 6. Let d(c) = -2*c**2 - c + 1. Let i(k) = k**2 - k - 1. Give t*d(u) + i(u).\nAnswer: 3*u**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -3*y**2 - 8*y + 4. Let i(c) = -2*c**2 - 7*c + 3. Let h(j) = 6*i(j) - 5*o(j). Suppose 0 = -5*t - 1 + 11. Give h(t).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 35392?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3099754?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1437 - 1352. What is the smallest value in 3, 2\/15, -0.2, j?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**3 + 18*y**2 + 9*y + 1131. Let j be p(21). Let g be 1\/4 + (-49)\/(-28). Let o = 2 + -1. Sort g, j, o in increasing order.\nAnswer: j, o, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**3 + 3*j**2 - 9*j - 18. Let v be x(-3). Solve 5*g + i = -15, 0 = g - 5*g - 5*i + v for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*g**3 - 34*g**3 - 36*g**3 + 102*g**3.\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.03 - 5.03. Suppose -3*m + 7*m = 3*r + 19, 5*m + 3*r - 17 = 0. Let k be m + 1*(-2)\/(-18)*-34. Put -3, -1, k, q in descending order.\nAnswer: k, -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74\/1*(3 - (-2)\/(-4))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46472 is divided by 554.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(5) - sqrt(5)) + 5 + -6*(sqrt(5) + -1)**2)*-6.\nAnswer: -72*sqrt(5) + 186","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-6) + (-24)\/(-45). Put m, 3, -5 in descending order.\nAnswer: 3, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -98 + 104. Calculate the highest common divisor of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 454455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g - 302 - 2*g + 310)*(2 - 1 + 0*g**2 + 3*g**2).\nAnswer: -21*g**3 + 24*g**2 - 7*g + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*k**3 + 15*k**2 + 54*k + 89224.\nAnswer: 6*k**2 + 30*k + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -19706, 7.\nAnswer: -19706, -4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29526 by 19.\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -64*d**3. Let b be s(-1). Suppose -2*q - 2*q + h + b = 0, -5*q + 69 = -4*h. Let i = 21 - q. What is the least common multiple of i and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55 - 23 - 32 + 171*g**2 to u*g**2 + q*g + i and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -62.7 rounded to the nearest 10?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 71*h**4\/24 - 29*h**2. Let t(s) = 2*s**2. What is q(t(c))?\nAnswer: 142*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43217 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-3 - (1 + -2)). Suppose -20 - 4 = -2*o. Let y be 51\/o + h\/4. Solve -y*m - 3 - 1 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/6, 13, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 621 - 436. What is the hundreds digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.1 (b) 0.09 (c) -2 (d) -0.5 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes before 6:47 AM?\nAnswer: 9:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 71084063 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*i**4 + 2*i**2 + 1592*i**5 - 10*i**2 - 1581*i**5 + (0 - 2 + 1)*(-i**5 - 3*i**2 + 3*i**2).\nAnswer: 12*i**5 + 2*i**4 - 8*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2937395 and 4112353?\nAnswer: 20561765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 112, 908, 3064, 7258, 14168, 24472, 38848, 57974?\n\"Answer: 113*w**3 + 2*w**2 - w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (2757*2\/12)\/((-4)\/(-8)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(1\/2))**37*(o\/o**(-2\/23))\/(o*o**(-1\/5)*o))\/(((o*o**0*o)\/o)**(5\/6)\/(o\/o**(1\/4))**(-46)) assuming o is positive.\nAnswer: o**(-12107\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 3128 or 1108?\nAnswer: 3128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 0.21339179 + -0.7372\nAnswer: -0.52380821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -62, -85, -146, -263, -454, -737, -1130, -1651?\n\"Answer: -3*w**3 - w**2 + w - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 4*r**2 - 241242*r - 241246 = 0.\nAnswer: -1, 120623\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26374*j**3*q + 2*j**2*q + 5381*q + 2 wrt j?\nAnswer: 158244*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27181 smaller than 869745\/32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9 times 0.0408?\nAnswer: 0.03672","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -23\/13933?\nAnswer: -23\/13933","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zsc when three letters picked without replacement from {z: 2, c: 8, s: 9}.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 685 + -682. Solve 2*j = 4*t - 4, 13 = c*t - 4*j - 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -k, -4*k + 9 = -5*f - 2. Suppose -k*l + 10 = l. Let z be 10\/(-140)*-14*0. Solve l*x + 8 = -z*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2\/3 - 128*h\/3 = 0.\nAnswer: -128, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 6620 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -1587*i**5\/130 - 23*i**4\/26 - i**3\/39 - 248*i**2. Factor y(s).\nAnswer: -2*(69*s + 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + -33 - 2 - (0 - 25)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yyptapaatyaayaxpapa. What is prob of sequence xp?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*t - 5*t + 2*t**3 + 9*t**3.\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 4*t**3 - t**2 - 5*t - 26. Let s = -9758 - -9753. Let a(c) = 6*c**3 - c**2 - 7*c - 39. Determine s*a(n) + 7*l(n).\nAnswer: -2*n**3 - 2*n**2 + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 + 7*s**2 - 11*s + 3. Let q be (-38)\/(-8)*-2*-2. Let b = 11 - q. List the prime factors of o(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z**4 + 378*z**3 - 14964*z**2 + 183942*z + 199287 = 0. Calculate z.\nAnswer: -1, 33, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7904 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.4, 15021\/4, 213?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3021\/114 - (-6)\/(-4). Suppose -3 - 1 = 4*k. Is q at most as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 7278430 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = n**2 - n - 2. Let w be j(3). Suppose w*h + 9 = 17. Solve -h*f = f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/61769 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -158410316 rounded to the nearest 1000000?\nAnswer: -158000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185 = -8*a + 3*a. Suppose -p = -3*y - a, 0 = 4*y - 5*p + 100 - 36. Let n = -7 - y. Are 2 and n nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 + -7 - 0 - (12 + -3)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 24\/4)*1. Is a at most -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.154726 meters to centimeters.\nAnswer: 115.4726","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1087 in -4, -11, -2\/13?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -19*p - 96*p**2 + 7 + 4*p + 8*p + 97*p**2. Let n be (-1)\/((-9)\/8 - -1). Give z(n).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34394?\nAnswer: 2, 29, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {l: 3, f: 6, m: 5, b: 1}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5\/88 + 63\/440. What is the nearest to p in -5, 4\/5, -0.2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132070749 to the power of 1\/2, to the nearest integer?\nAnswer: 11492","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 7*a**3 + 5*a**2. Suppose 7*s = 9*s. Let i(z) = 2*z**2 + 2*z**2 + z**3 + s*z**3 - 3*z**2. Calculate -6*i(f) + w(f).\nAnswer: f**3 - f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + (-292)\/(-219) + (-52)\/3.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*a = 5*a + 18, 5 = -a. Find the second derivative of -73*r - 2*r**3 - r**3 - 29*r - 4*r**z + 11*r**4 wrt r.\nAnswer: 132*r**2 - 42*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -785\/9 + 87. Sort 5, -5, 3\/7, y in descending order.\nAnswer: 5, 3\/7, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11022102110 - 22?\nAnswer: -11022102132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*x - 163 = 0, 3*t = 7*x - 2*x - 85. Let w = t + 100. What are the prime factors of w?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1138591693.\nAnswer: 1138591693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 + -4. Let j = 4 + k. Is 1\/(-2)*j*-19 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 32\/7, 5, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 7\/6 of a hour?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(325)*2 - (1 + sqrt(325) + 2)) + 2*sqrt(325)*2 + sqrt(325) + sqrt(325)*1 + -2)*6)**2.\nAnswer: -7560*sqrt(13) + 573624","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*u - u + 20*u as y*u + l and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 196796362?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((0 + 0)\/(-1))\/(-2). Suppose -1772*d = 281*d - 6159. Solve s = -d*u + 6*u - 15 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a factor of 1355?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3. Let i(v) = v + 1. Let t be -1*(-3)\/2*(-4 + 2). What is t*i(q) + m(q)?\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -180 by -45.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 34983 and 429.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*h - 5*h - 3*h - 12*h.\nAnswer: -118*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 44118?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -211\/46830 and 111\/312200.\nAnswer: 936600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -62672 + 62634.9931. Let j = g + 37. What is j rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/10 of a millennium?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 150, 182, 214?\nAnswer: 246","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/5)\/((-21)\/(3255\/31)). Let u(k) = 2*k**2 - 13*k + 3. What is u(d)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = n + 8. Let g be k(-5). Let b(t) = -2*t - 38. Let c be b(-21). What is the second derivative of 26*j**3 - c*j**g - 10*j + 4*j**3 - 5*j wrt j?\nAnswer: 156*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25509.7 tonnes in nanograms?\nAnswer: 25509700000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + t - 4 + 20 = 0, 4*t - 20 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 19297 a multiple of 56?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**3\/17 + 16*r**2\/17 + 266*r\/17 + 40.\nAnswer: -2*(r - 17)*(r + 4)*(r + 5)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1586, 3173, 4748, 6305, 7838, 9341?\n\"Answer: -s**3 + 1594*s - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 20726 to the power of 1\/4, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -26 + 12 + c**2 - 3*c + 13. Give y(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + 2 + (-56)\/7.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 201 divide 3375?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 q and 2 d when four letters picked without replacement from {d: 4, q: 6, j: 10}?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192000 a multiple of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-33))**(-1\/83)\/((s\/((s**(-3\/31)\/s)\/s*s))\/(s\/((s**21*s)\/s))) assuming s is positive.\nAnswer: s**(-55863\/2573)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 6, y: 1, t: 4, z: 3, e: 5, n: 1}. Give prob of picking 1 n, 1 y, and 1 e.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 4, -3, 0.5 in ascending order.\nAnswer: -3, -1\/3, 0.5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, -8, -16, -4 in ascending order.\nAnswer: -16, -8, -4, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(84)*3)\/(sqrt(48)\/(sqrt(4) + sqrt(196) + sqrt(4) - sqrt(4))).\nAnswer: 24*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 3*g**2 - 2*g. Let m(f) = f**2 - f. Give -2*m(s) + w(s).\nAnswer: s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 - 2. Suppose u = -3*u + 28. Suppose 0 = u*n - 8*n + 34. Solve i*p + 5*b = n, 4*b - 8 = -3*p + 21 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1220298 and 3660894.\nAnswer: 3660894","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 70d?\nAnswer: 70d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 67 + 545911054.51.\nAnswer: 545911121.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -48*r + 13358 - 13214 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -1 + -1 - (-2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q = 4*q - 15. Let v be 6\/q - (-4)\/(-1). Let b be -7*(12\/7 + v). Solve z = b*g + 2 - 1, -2*z = -3*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -6 (b) 0 (c) -4 (d) 2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -211 - -187.2. Let c = -29 - n. Let k = -5.2000014 - c. What is k rounded to 6 dps?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 32 and 5696.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put -10, -8, 0.5, -11 in increasing order.\nAnswer: -11, -10, -8, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**3 - 2*c**2 + 14*c + 58. Determine j(8).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) be the third derivative of -u**5\/15 + 17*u**4\/6 + 40*u**3 - 1908*u**2. Determine s so that h(s) = 0.\nAnswer: -3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -49*s - 11943. Determine f(-245).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -199\/2550 and -95\/234.\nAnswer: 99450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 3*v = 0. Let x be (v + 13 + 0)\/8. Let n = x - 1\/8. Which is the closest to n? (a) -4 (b) -1 (c) -1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sekshhhshsh. Give prob of picking 1 e and 1 h.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/(p**(7\/5)\/p))**22 assuming p is positive.\nAnswer: p**(66\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 160 divide 171068?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 25, 24*t - 5*x = 21*t + 8380. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73893?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -2 + l + 3*l**3 + 8 - 2*l**3 + 0*l**3 + 6*l**2. Let h be w(-6). Solve 4*x = h, 4*o - 2*x = x for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18127, -18128, -18131, -18136, -18143, -18152?\nAnswer: -18163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5 - 2115*k + 324*k - 1409*k + 6.\nAnswer: -3200*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 43*y + 31. Let p(h) be the second derivative of -11*h**3\/3 - 8*h**2 + 5*h. Let o(g) = -3*a(g) - 5*p(g). List the prime factors of o(-4).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.12 + -0.18. Which is the nearest to 0.17? (a) -3 (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 + 11*y**2 + 3*y - 12. Let d be (8\/4)\/(1\/(-5)). Calculate the remainder when p(d) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 35 = -37. Let t(h) = h**3 + 6*h**2 - h - 3. Let y be t(-6). What is the nearest to -2 in 5, y, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 4 = 0, 232*n + 3*j - 9 = 229*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 - 3. Suppose c*a - 10 = a. Suppose 0 = 5*s + 4*w - w - 24, 0 = -s - w + 4. Calculate the remainder when a is divided by s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*a**5 - 224*a**4 + 1372*a**3 - 2744*a**2.\nAnswer: 4*a**2*(a - 7)**2*(3*a - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k and 1 h when four letters picked without replacement from ykkykykkhkkkykkyk.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 4*a + 5. Let k be g(4). Suppose 0 = -2*m + k*m - 54. Does 11 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 8*z + 13. Let q be u(-9). Suppose 5*i - 3*x - q = 0, -3*i + 4*x + 14 = 3*x. Let n = 16 - 11. Calculate the highest common divisor of n and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -114*o - 2320 = 6114 - 232 + 1602 for o.\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9130 + 18236. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -y**2 - 2*y + 1. Let d(r) = 4*r**2 + 9*r - 5. Let m(x) = -9*x - 4*x**3 - 5 - 3 + 5*x**3 - 9*x**2. Let f be m(10). Determine f*d(t) + 9*u(t).\nAnswer: -t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 49561 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/9)*p)**(-7)*(p\/(p*p\/((p*p**(-1\/4))\/p)*p))**(-3\/7) assuming p is positive.\nAnswer: p**(-1913\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d - 5*d + 4*d)*(34*d - 30*d + 59*d) + d**2 - 5*d**2 - d**2.\nAnswer: -131*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 567 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(2057)*1 + 4 - (sqrt(2057) - (0 + 0 + sqrt(2057))) - -4*((sqrt(2057) - (sqrt(2057) + -1))*6 - sqrt(2057))) + -2)**2.\nAnswer: -5148*sqrt(17) + 57567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 80 by -10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 59 divided by 4298\nAnswer: 59\/4298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n + 2*n + 5*m = -21, 0 = -5*n - 3*m + 1 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-5) + 2\/(-5). Let o be 3\/v*8\/(-12). Let x = o - -27. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.555 and 133?\nAnswer: 206.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2151, -4316, -6483, -8652, -10823?\n\"Answer: -s**2 - 2162*s + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -499.1 - -499.2. Which is greater: -8.62 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9950 rounded to the nearest 1000?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 7 + 2)*(-2*l**3 + l**2 - l**2)*(0 + 1 - 2).\nAnswer: -14*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 547 divide 2514559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-9)\/u)*u)\/u**(1\/2))**(5\/2) assuming u is positive.\nAnswer: u**(115\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 7\/14 + (-6)\/4. Let l = 920350\/51 - 18046. Is l bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of h**2*u*z**3 - 498*h**2*u*z - 77*h*u*z**3 + 2*h*u*z**2 - u*z**3 wrt h?\nAnswer: 2*u*z**3 - 996*u*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3485387 is divided by 3482.\nAnswer: 3387","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes after 12:56 PM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -1415, -309, 5, 0 in decreasing order.\nAnswer: 5, 0, -309, -1415","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 100 and 700.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - 10. Let q = -14 + 32. Let w = -4 + q. Calculate the remainder when w is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4077 and 51642?\nAnswer: 154926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 205*j - 210*j - 15 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*h + 14 = 0. Let k = h - 14. Let o(d) = -d**3 - 8*d**2 - 9*d + 2. Let n be o(k). Calculate the highest common factor of n and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4 + -6 - 20\/(-12). Which is the closest to r? (a) -1\/5 (b) -1 (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 29, -1, 156, -11.\nAnswer: -11, -3, -1, 29, 156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 17 - v + 7*v + 5*v**2 - 7. What is the tens digit of a(-5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 3 - 4 - (2 + -3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*r**2 + 17*r**2 + 11*r**2 + 14 + (0 + r + 0)*(-r + 3*r + 0*r) as i*r**2 + y*r + x and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 1005 = 3*h + 2*h, 5*y - 1009 = 4*h. Is y a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 285 or 1\/4?\nAnswer: 285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4 + 14*c**3 - 28*c**2 - 96*c.\nAnswer: 2*c*(c - 3)*(c + 2)*(c + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273*t - 3528 = 25*t - 1048. Solve 5*q + 4*l = -28, 5*q + 15*l + 30 = t*l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 7. Let r(a) = 18*a - 20. Determine -14*d(g) - 5*r(g).\nAnswer: -6*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-55)\/33*(-15)\/25. Which is smaller: 16\/47 or h?\nAnswer: 16\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 353*-777.\nAnswer: -274281","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1394.38 litres?\nAnswer: 1394380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 396429659 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 20 + 3*w + 12*w - 5*w + 0*w in the form u*w + d and give d.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**2 + 71312*m - 10863918 = 0?\nAnswer: 153, 35503","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4077992, -4077741, -4077490?\nAnswer: -4077239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z - 2*p = -7616, 31*z = 28*z - p + 7618. List the prime factors of z.\nAnswer: 2, 5, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by -30?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 3 + 721*l**3 + 0 + 7.\nAnswer: 721*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5.8 + 4.5. Let v = m + -10.4. Let z = 15 - 7. What is the biggest value in z, v, -2\/9?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -78320, -156651, -234984, -313319, -391656?\nAnswer: -469995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 55 = -5*i, -5*i - 207 = -4*g - 82. Let n(z) = 4*z + 17 - 44 - 8*z + g. Determine n(-5).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 2, -17.94.\nAnswer: -17.94, 2, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + (-33)\/(-45))\/(1440\/(-18360)).\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -8183 - -16440.608\nAnswer: 8257.608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1568 or 1570?\nAnswer: 1568","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 84145.\nAnswer: 5, 16829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:47 AM and 6:48 PM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4418 - 2743. Calculate the greatest common factor of y and 225.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 112 = 2*j, 2*a - 4*a - 4*j = -62. Solve -3*r - 1 = -4*z + a, r + 8 = z for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -17*g - 63. Let f be s(-4). Let p(k) be the second derivative of 3*k**2 + 5*k + 5\/6*k**3 + 0 - 1\/20*k**f + 5\/12*k**4. Give p(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-6)\/297)\/((-147)\/(-441)). What is the fifth smallest value in 5, 1, n, 4, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*w + 55*w - 495 = 0. Is 55 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -64.92369 + 0.07969. Let y = d - -65. Round y to 2 dps.\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14 - (5 + -10)) + 10?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-38) - (8 - 11832\/(-1292)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -60*p**2. Let d(a) = 396*a**2. What is i(d(n))?\nAnswer: -9408960*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 4 (b) 0.0949 (c) -3 (d) -59 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 - 14. Suppose 2*w - 2 = f. Solve -h + 1 = -w for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -309*q + 308*q + 10 = w, 0 = -5*w + 2*q + 15 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/((x\/(x\/((x*x\/x**(-3\/2))\/x)))\/x*x))\/x*x*x**(1\/18)*(x*x**(2\/17)*x)**(1\/47) assuming x is positive.\nAnswer: x**(-2872\/7191)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:08 AM and 1:14 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 1 = -5. Let p be -3 + 1 + k + 3. Suppose p*d = 5*d - 2154. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c5d (base 16) to base 13\nAnswer: -1596","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*r - 51 = 49 for r.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (j - 3*j**2 - j)*(j - 3*j + 0*j) + 0*j + 6*j**3 + 0*j + (-2*j**3 - 3*j**3 + 4*j**3)*(-1 - 6 + 3) as w*j**2 + d*j + i*j**3 + s and give i.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 54689612*x**4 - 1944071*x**2 + x + 4?\nAnswer: 1312550688*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let q = -2677 + 2677.3. Which is the nearest to q? (a) u (b) -0.3 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.1 + -0.3. Let w = p - -1.2. Let a = -0.1 + 0. Sort w, a, 0.\nAnswer: a, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2801.9 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -18 + ((-62)\/155)\/(-3 + (-413)\/(-140)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*a - 5399 + 5300 = 0. Let l(c) = 5*c**2 - 11*c + 4. Let k(y) be the second derivative of y**4\/6 - 2*y**3\/3 + y**2\/2 + y. What is a*k(f) + 4*l(f)?\nAnswer: -2*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 3*p + 1, -4*p + 7*p = -3*z + 3. Let h be 14*(2 - (z - 0)). Factor -h*d**4 - 8*d**2 - 5*d**2 + 3*d + 4*d**2 + 9*d**3 + 11*d**4.\nAnswer: -3*d*(d - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 - 23*i - 13. Is 21 a factor of a(-19)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.153 + 0.047. Let g = 1.8 + b. Let u be ((-12)\/(-30))\/(13\/(-5)). What is the third biggest value in u, -1, g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 458?\nAnswer: 2, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 523 - 507. Suppose f*u - 16 = -2*d + 21*u, 3*d - 7 = -u. Solve -3 + d = -3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 10*o**2 + 3*o - 33. Determine v(10).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p**2 + p - 2. Let k be v(3). Let t = 2984 + -2993. Is t equal to k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (49 + 5)) + (80 - 87)\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 941\/234 - 71\/18. What is the smallest value in u, -0.02, 5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) 39 (b) -1 (c) -4 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -0.174?\nAnswer: -0.174","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2012020 (base 3) to base 16.\nAnswer: -63f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 14\/70*30 - 6*1. Factor b*h + 2\/5*h**2 - 2\/5.\nAnswer: 2*(h - 1)*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 16162886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence llm when three letters picked without replacement from lllmllmll?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20312980.043020670257282 + -0.043041670257282. Let y = t + -20313021. Let i = 41 + y. What is i rounded to 5 dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 11*b - 40. Let a = 2531 + -2524. Give p(a).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1197\/25, 2\/3, 9, -1 in descending order.\nAnswer: 1197\/25, 9, 2\/3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -13 + 4. Let d = 0 + r. Let t(a) = 6*a - 82. Let x be t(14). Put x, 5, d in increasing order.\nAnswer: x, 5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 3*r**2 + r**3 - 80*r**4 + 161*r**4 - 76*r**4 in the form c*r + i*r**4 + v + t*r**2 + a*r**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 43575927 divided by -80547?\nAnswer: -541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*x + 24689*x**2 - x**3 + 5 - 24689*x**2 in the form m*x**2 + s*x + h + o*x**3 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -5.3 times -3\nAnswer: 15.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(8\/(-3) + 3). Suppose 0 = 4*t - 0*t - i*c - 1, -5*t + 4*c = 0. Let v be (-1 - -5)\/((-1)\/(-9)). Calculate the highest common factor of t and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -78408, -78405, -78402, -78399, -78396, -78393?\n\"Answer: 3*v - 78411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 e when two letters picked without replacement from tccctttcecterenetc.\nAnswer: 4\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -41 + (-11 - (28 - 62))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 12*d - 2. Let c be g(-2). Let p = c - -37. Calculate the greatest common divisor of 11 and p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 3225*i**2 + i - 5. Is q(-2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46290 rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 80 divide 1092648?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/8, -1\/10, 0.3?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:22 AM and 8:11 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 58373 (b) 2\/3 (c) -3 (d) -4\/7 (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1)\/m)**(-20\/9))**(2\/89) assuming m is positive.\nAnswer: m**(80\/801)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 - 35678\/(-7038) - 1. Let s = -2529343\/207 - -12219. Let r = j - s. Calculate the common denominator of -58\/3 and r.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55375500 a multiple of 1102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2928 divided by -37.\nAnswer: 2928\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**2 - 2*p + 1. Let y be l(1). Suppose -100 = -y*f - 0*f. What is the units digit of 5\/(25\/3)*f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -60454 - -60450. Let u be (-4)\/18 + (-56)\/(-9). Let r(y) = -y**2 - y**2 + 6 + u*y**2 - 4*y - y**3. Let n(v) = -v**2 + v - 1. Calculate m*n(k) - r(k).\nAnswer: k**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 496682, 496662, 496608, 496502, 496326, 496062, 495692?\n\"Answer: -3*s**3 + s**2 - 2*s + 496686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 5*l - 1. Let m(r) = -2*r**2 - 14*r - 9. Let u(v) = m(v) + p(v). Give u(-7).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*z = -11*z - 3*z + 105. Let y(m) = -4*m**3 - 2*m**2 - 8*m - 4. Calculate the smallest common multiple of y(-5) and z.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-6*(sqrt(2057)*2 + 4)**2 + (sqrt(2057) + (sqrt(2057) - 2*sqrt(2057)) + 4 - (5 + sqrt(2057) + -1))**2).\nAnswer: -142221 - 3168*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (23 - 7) + -17 - (2 + 0 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11874 + -11685. Is t a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 - 1. Suppose -c - 43 - 37 = -5*z, v*c = -25. Solve -4*g - z = g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8532 and 3051?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17885197 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.604783 litres?\nAnswer: 4604.783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 - (-6 - -16) - 10\/(-3)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1617 divided by -42?\nAnswer: 77\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 PM and 12:54 PM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uudd when four letters picked without replacement from duududuudddu?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (12\/(-10))\/((-1)\/(-5)). Let l be (-52)\/130 - (84\/15)\/(-4). Put l, g, 3 in decreasing order.\nAnswer: 3, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 352\/84*3*(-4039)\/1154?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 688 by -1360.\nAnswer: -43\/85","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 2*s**3 + 2*s + 9. Let b(a) = a**3 + a + 8. Let t(g) = 3*b(g) - 2*h(g). Calculate t(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9419004451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 19495 divided by -12220?\nAnswer: -3899\/2444","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 66383 - 46916. Is 103 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:51 AM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -2\/5 (b) 5 (c) 0.17 (d) 6\/307\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that 104*i**5\/7 - 168486*i**4\/7 - 327552*i**3\/7 - 149230*i**2\/7 + 9732*i\/7 = 0.\nAnswer: -1, 0, 3\/52, 1622","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 3, 6, -27, 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + -9 + 6 + -1 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/60*24\/21.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -3*g**3 - 4*g**2 - 2*g. Let t(h) = h**3 + h**2 + h - 1. What is -b(n) - 2*t(n)?\nAnswer: n**3 + 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/(-27))\/((-101)\/(-9999))?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1213 (base 5) to base 15\nAnswer: c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 624 - 183. Let d = u - 441.4. Let v be (-4)\/22 - (-1 + 1). Sort -2\/3, v, d.\nAnswer: -2\/3, d, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3526 is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2147, -2975, -3813, -4661, -5519, -6387, -7265?\n\"Answer: -5*y**2 - 813*y - 1329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 3702874.78 rounded to the nearest one hundred thousand?\nAnswer: 3700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**2\/7 + 304867460*y\/7 - 11618021020856450\/7 = 0. Calculate y.\nAnswer: 76216865","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 48 a factor of 83526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 41 and 343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l\/(l**14*l*l)*l)**(-2\/21)\/(((l*l*l\/l**(4\/9))\/l*l)\/l)**(4\/13) assuming l is positive.\nAnswer: l**(622\/819)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the first derivative of 4*l**2 - 4*l - 1\/3*l**3 - 4. Calculate the remainder when 31 is divided by b(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*90\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34127 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * -79.\nAnswer: -395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1244610 (base 7) to base 12.\nAnswer: 7a090","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 17*d - 18*d. Let r(b) be the first derivative of 0*b**d - 2 - b**2 + 0*b**5 + 0*b + 1\/3*b**6 + 0*b**4. Find the second derivative of r(s) wrt s.\nAnswer: 40*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -61 in -249, -1\/2, 0.3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sum -112.08626901623 and 5.\nAnswer: -107.08626901623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 73 is divided by 52?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 6:44 PM?\nAnswer: 697","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrlr when four letters picked without replacement from rrlrlllylylllll?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 153939 to the nearest one thousand.\nAnswer: 154000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3533.7 + 3534.2. What is the fourth smallest value in n, -1\/4, -3\/799, -2, 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:35 AM and 1:02 PM?\nAnswer: 687","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48931897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4 + 22\/(-4). Let v be 7\/2 - (-7)\/(-19 - s). Solve -5 = -5*d - 5*g, v*d - 2*g + 3*g = 1 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f + 215 = 50*f. Which is the second smallest value? (a) 36 (b) f (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 5022?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 3171268+0.1\nAnswer: 3171268.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 0, -10, 3, -1, 288 in descending order.\nAnswer: 288, 18, 3, 0, -1, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 3922*q**3 + 15*q**2 - 18. Is u(2) a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-41 + 1 - (389 - 381)) + 15 + -3 + 0?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -145\/3396 and 17\/4005582.\nAnswer: 8011164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -205452, -205399, -205346, -205293, -205240, -205187?\n\"Answer: 53*m - 205505","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 36\/79? (a) 6 (b) -2 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2422984?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 2:28 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + sqrt(704))*-6 + sqrt(704).\nAnswer: -40*sqrt(11) + 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -91 + -94 + 162 - 13\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 351500 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*s - 177*s + 143*s.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 10 = 7. Let b(f) be the first derivative of 2\/3*f**v + 2*f + 0*f**2 - 1. Differentiate b(p) wrt p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**2 - 17136*t - 18352656.\nAnswer: -4*(t + 2142)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 237418?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/15, -136, 5.\nAnswer: -136, -4\/15, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/245 and -43\/50?\nAnswer: 2450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 - -4. Let h(n) = 13*n**2. Let b = -41 + 65. Calculate the remainder when b is divided by h(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-1\/33))**9 assuming q is positive.\nAnswer: q**(-3\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 134. Let h be b(0). Let s be ((10\/(-18))\/(-5))\/(22\/396). What is the second derivative of -43*g + h*g**s - 31*g**2 - 61*g**2 wrt g?\nAnswer: 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 406034809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/181 + -311\/3077. Let o = 95 + -92. Let x be o + (-1)\/(-18)*(8 + -66). Which is the closest to x? (a) g (b) 4 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7096, -14179, -21260, -28339, -35416?\n\"Answer: v**2 - 7086*v - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**3 - 16*o**2 - 16*o - 8. Calculate v(-7).\nAnswer: -1023","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + sqrt(684) + 1 + ((sqrt(931) - (sqrt(931) + (sqrt(931) - (-1*sqrt(931) - sqrt(931)))))*5 + sqrt(931))**2.\nAnswer: 6*sqrt(19) + 182479","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 n when three letters picked without replacement from {y: 5, a: 1, n: 3}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1563 - -1567. Solve -4*u - 2*i = 4, 24*u - 19*u = h*i - 31 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = 5*n, 2*x - 5*n = 5*x - 16. Let b be ((-2)\/4)\/((-2)\/32). Let p = b - 5. Calculate the remainder when p is divided by x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u = 19*u - 5950. Suppose 2*w = u - 195. What are the prime factors of w?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -10*a - 8. Let t be l(-2). Suppose p + 5*j = 16, -3*j = 4*p + t - 76. What is the remainder when 1*-61*1\/(-1) is divided by p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 4, b: 3}. Give prob of picking 3 b and 1 t.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2, -2*x + 3*o = 5*o + 2. Let s be -3 - (-8)\/2*16. Suppose -18*l + s - 25 = 0. Sort l, 5, x in descending order.\nAnswer: 5, l, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -19635*g*v**5 + 78*g*v**3 + 1778*g*v + 3*g + v + 197 wrt v.\nAnswer: -392700*g*v**3 + 468*g*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 9*d**2 + 11*d + 16. Let p(i) = i**2 + 12*i - 10. Let j be p(-12). Let z be a(j). Calculate the highest common factor of z and 42.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 25888 = -k - 7517, k + d = 18403. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -555 + 577. Suppose z*m - 154 - 308 = 0. Let n(s) = -s**2 + s + 124. Calculate the remainder when n(0) is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a kilogram in grams?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4763.06m to micrometers.\nAnswer: 4763060000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -11 + 7 - -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0353819 plus -1?\nAnswer: -0.9646181","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = 5*p - 60, -3*i = p - 7*i + 3. What is the common denominator of 1216\/(-285) + p\/15 and -71\/86?\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 121035?\nAnswer: 3, 5, 8069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the first derivative of g**3\/3 + 3*g**2 - 2*g - 36. What is i(-5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.4 and -320.3836?\nAnswer: -128.15344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-430)\/60 - (3 + -10).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 3) to base 2\nAnswer: -111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 41 and 451.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000015734459 to 7 dps.\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1435457 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2965 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -15*v**2 + 159*v + 59. What is the remainder when t(9) is divided by 83?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 39102?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1817, 3639, 5463, 7289, 9117, 10947?\n\"Answer: v**2 + 1819*v - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 183805496?\nAnswer: 2, 7, 17, 193073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8049, 8464, 8971, 9576, 10285?\nAnswer: 11104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 118820042 to the nearest 100000.\nAnswer: 118800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/474)\/2*2. Let d = q - -697\/1659. Suppose 2*o - 12 = -4*k, -3*o = -2*k + 34 - 12. Which is the third smallest value? (a) k (b) 2 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 45*m + 46*m + 76*m - 218*m + 44*m - 3. Let t(k) = -14*k - 6. Calculate 13*s(n) - 6*t(n).\nAnswer: -7*n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v + 10. Let z(i) = 9*i + 78. Let j(s) = 15*o(s) - 2*z(s). Let t(g) = -g - 2. What is -6*j(a) + 21*t(a)?\nAnswer: -3*a - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 64415?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -6898.038 rounded to the nearest one hundred?\nAnswer: -6900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fzxvvzvzxvx. Give prob of picking 2 z and 1 f.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19.8 - -2. Let c = 5.5 - 27.5. Let x = i + c. What is the closest to -2 in 1, -0.1, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1843*t + 55262 + 55261 - 110523.\nAnswer: 1843*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -303922?\nAnswer: -303922","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49535033 is divided by 854052?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 88625675?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2*j**2 + 2*j + 1459. Let v(p) = 2679*p - 2. What is c(v(d))?\nAnswer: 14354082*d**2 - 16074*d + 1463","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -23\/36204194 and -107\/323830.\nAnswer: 181020970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -29681, -29684, -29689, -29696?\n\"Answer: -n**2 - 29680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5 + ((2*((sqrt(325) - 2*sqrt(325)) + sqrt(325)) - 2*(sqrt(325) - sqrt(325)*-1)) + -4)*2 + -4)*4)**2.\nAnswer: 8960*sqrt(13) + 333584","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + 1)**2 + sqrt(104)\/sqrt(32) - (sqrt(325) + -6*-3*sqrt(325))) + 4.\nAnswer: -177*sqrt(13)\/2 + 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -22.2 + 23.35. Let d = r - 4.15. Sort 1, d, 0.5, -0.1 in decreasing order.\nAnswer: 1, 0.5, -0.1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -4*d**2 - 9068472*d - 5139824025924 = 0.\nAnswer: -1133559","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = a**3 - 6*a**2 + 3*a - 4. Let s(f) = -f**2 - 7*f - 6. Let h be s(-4). Let q be w(h). Is (-1 - q)*4\/(-6) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 3*d - 1. Let g be i(-1). What is the tens digit of 1\/4 + (-63)\/g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(915 - -30))\/(-1*1)*50\/(-3).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7465 - b0?\nAnswer: 73b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 35995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -173, -661, -1473, -2609, -4069, -5853, -7961?\nAnswer: -10393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of 464*u**7\/35 + 58*u**5\/15 + u**4\/24 + u**3\/6 - 3*u**2 + 50*u - 3. What is the third derivative of g(d) wrt d?\nAnswer: 66816*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -9*k**4 - 81*k**3 + 306*k**2 - 216*k. Let a(l) = 6*l**4 + 54*l**3 - 204*l**2 + 144*l. Let r(b) = -8*a(b) - 5*u(b). Determine c so that r(c) = 0.\nAnswer: -12, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 0 - 2*w + (0*w + w - 2*w)*(-2 + 3 - 2) - 7*w - 54 + 54 - 2*w - w + 0*w + 4*w - 2*w + 2*w.\nAnswer: -7*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 218113498 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 243 - 207 = 6*w, 0 = 3*p - 8*w + 20 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + 0 + (-2 - (-10 + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 3*w**2 - 6*w - 3. Let t be s(-5). Let b be (-2 - -12) + -2 + -1. Calculate the highest common factor of b and t.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 11*x**3 - 4*x**3 - 5*x**3 + 1 - 11*x + 17*x**2 - 8. Let g be y(-9). Solve 2*h - q + g = 0, -3*h - h - 2*q - 2 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1661*o = -1650*o - 5599. Is 508 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 52 + 10. Let o = -53 + i. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 + 5206726?\nAnswer: 5206726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 2449 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1765?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 9660 a multiple of 115?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 - ((-695534)\/14 + -2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 30*p**2 + 11. Let q be m(-3). Suppose -9*h + q = -205. What is the remainder when h is divided by 58\/4 - 1\/2?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -230 divided by -46?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1150*k - 1147*k + 3 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ui when two letters picked without replacement from ziziiizuzzuzz?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -1084800 * -43\nAnswer: 46646400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + -5*sqrt(117) + sqrt(117))*4)**2 + -3.\nAnswer: 29949","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 15247621 - 62691422. Let n = 1043269529\/22 + u. Let a = 22455 + n. Calculate the common denominator of a and -87\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wqq when three letters picked without replacement from {r: 3, q: 4, w: 6}.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 15 = 4*j. Solve j*i + 29 = 9 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ftiivxvxxitvvx. What is prob of picking 1 t and 1 x?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = 16*n - 5. Let s(t) = -41*t + 249. Let b(j) = -2*f(j) - s(j). Calculate b(26).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -344 divided by -31\nAnswer: 344\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -20*w**2 + 15*w + 26. Determine q(-3).\nAnswer: -199","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 - 23*k**2 - 46*k**2.\nAnswer: -49*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 19, 64, 167, 352, 643, 1064, 1639, 2392?\n\"Answer: 4*m**3 + 5*m**2 + 2*m + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 199*g**2 - 196200*g + 171*g**2 + 196200*g - 50*g**2.\nAnswer: 320*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (65 - 546720\/8512) + (3\/(-14))\/(-3). Factor -l*q + 30\/19*q**2 - 12\/19*q**3 + 0 - 2\/19*q**4.\nAnswer: -2*q*(q - 1)**2*(q + 8)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 179654354*o - 179654354*o - o**2.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115\/21 - 36\/7. Which is the smallest value? (a) v (b) -1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1\/4*o**3 + 0*o + 1\/40*o**7 - 3*o**2 + 1\/32*o**4 + 19\/160*o**6 + 3\/16*o**5 + 0. Solve f(k) = 0.\nAnswer: -1, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 7\/((-21)\/(-15)) + 5. Let v(z) = 6*z - 61. Let b be v(o). Are b and 2\/19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + -4. Let b(g) = -g**2 - g + 10. Let d(y) = -2*y**2 - 3*y + 19. Let h(i) = k*b(i) + 3*d(i). Calculate h(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -2*h**2 - 8*h + 12. Let s = -175 + 245. Let z = -75 + s. Let j be i(z). Solve 15 = -m - 4*k, 3*k + j*k + 16 = -4*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*b - 4*t, t = -4*t + 20. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 49 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cpznzzycncccc. Give prob of sequence pcz.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.03 + 6.03. Let p = l + -5. What is the second smallest value in -1\/5, 0.5, p?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -422*g**3*z**2 - 35047*g**3*z + 635713*g**2*z + 13*g*z**2 wrt g?\nAnswer: -2532*z**2 - 210282*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from rysisryissy?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/((9\/15)\/(-3)). Let d(i) = -i**3 + 4*i**2 + 8*i + 4. Let o be d(q). Find the second derivative of -o - 5*x + 19 - 29*x**5 wrt x.\nAnswer: -580*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -1.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 689.054212 to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4367?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 189 + -186. Suppose 2*i + 10 = n - 0*i, h*n - 8 = -5*i. Let k(m) = -m**3 + 4*m**2 + 8*m + 3. Determine k(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8589294*g**3 + 1099697 wrt g.\nAnswer: -25767882*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -51\/2*j + 27\/8*j**3 + 9 + 63\/4*j**2.\nAnswer: 3*(j + 6)*(3*j - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8772\/(-5848)*(-1)\/((-1)\/18)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**3 - 5*g**2 - 11*g - 2. Let c(i) = -i**3 + 4*i**2 + 10*i + 2. Let x(s) = -4*s**2 - 121*s - 247. Let b be x(-28). What is b*c(z) + 4*h(z)?\nAnswer: -z**3 + 6*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.4 + -0.6. Let g(h) = 2*h - 1. Let m be g(-1). Let s = 1 - m. Which is the closest to -3? (a) -3 (b) t (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3, 6, 25, 54, 93?\n\"Answer: 5*z**2 - 6*z - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 434 is divided by 87.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = z - 0*z. Suppose r + 1 = z. Suppose 2*v - r*w = -4 - 7, -5*w + 7 = -4*v. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -15*b + 2. Let q be i(-3). Let g = q - -2. What is the remainder when g is divided by 364\/(-35)*15\/(-6)?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19608988548436 - 1.\nAnswer: 19608988548435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of v**2\/2 + 18*v + 7. Let x be p(0). What is the remainder when 9 is divided by 8\/(-36) - (-58)\/x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4217, -7065, -9943, -12851, -15789, -18757?\nAnswer: -21755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -3*w + 2. Let o(t) = 9*t + 76. Let b be o(-8). Let j(s) = -35*s + 25. Determine b*j(x) - 50*v(x).\nAnswer: 10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/3 - 16\/(-12). Suppose r*f - 6*f = -12. Solve 0 = d - f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 10*x**3 + 16*x**2 - 16*x - 180. Let n(i) = 2*i**3 + 3*i**2 - 3*i - 36. Calculate -16*n(w) + 3*u(w).\nAnswer: -2*w**3 + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-18)*m*m\/((m\/m**15*m)\/m) assuming m is positive.\nAnswer: m**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 77076659?\nAnswer: 11, 7006969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 + 0.3. Suppose 5*n + 4 = r - 6, r = 3*n + 4. Let y = 100 - 100.7. Which is the third biggest value? (a) y (b) n (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -63*c + 719. Let l(s) = 2*s. Calculate m(l(t)).\nAnswer: -126*t + 719","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/(14\/(-40))*((-1)\/(-72))\/(2312\/69360).\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2\/5 - -9\/10. Let b = 11518 - 11522. What is the nearest to -4 in -2, b, l?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}